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	<updated>2026-04-20T20:33:20Z</updated>
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	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8251</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8251"/>
		<updated>2005-11-22T21:29:21Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Possibilities of the Interaction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Which title is being played back at this very moment?&lt;br /&gt;
* Which interprets are avalible?&lt;br /&gt;
* Which titles are avalible?&lt;br /&gt;
* How many titles from a certain genre are avalible?&lt;br /&gt;
* Has the design been propertly developed?&lt;br /&gt;
* Is the View / Information shown user friendly and straightforward?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Search for genre and interpret&lt;br /&gt;
* Filtered search output should be displayed in an information window&lt;br /&gt;
* View (display) and selection possibility for the genres&lt;br /&gt;
* View (display) of the current title and interpret&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* View (display) for the interprets&lt;br /&gt;
* Colored distinction of the amount of titles through intervals&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The detail pannel stays clear until an artist or title is selected and afterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visual attribute &amp;quot;colored square&amp;quot;&lt;br /&gt;
The amount of titles is characterised in terms of color, e.g. blue for 0-500 MP3 files&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visual attribute &amp;quot;table&amp;quot;&lt;br /&gt;
Information should be displayed as a table&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visual attribute &amp;quot;table&amp;quot;&lt;br /&gt;
Information should be displayed as a table&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Through the selection of a genre, the user is able to select an interpret/title. This yields to display of detailed information and possibility of play-back. When adding a title, the color should change.&lt;br /&gt;
&lt;br /&gt;
* Information about the amout of the titles/genre&lt;br /&gt;
* Output of the information in the ID3 tags&lt;br /&gt;
* Navigation in the single windows with scrolls in order to get more detailed information&lt;br /&gt;
* Output for the filtered search results&lt;br /&gt;
* Player for play-back of the selected title&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8248</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8248"/>
		<updated>2005-11-22T21:26:17Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Visual Mapping */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Which title is being played back at this very moment?&lt;br /&gt;
* Which interprets are avalible?&lt;br /&gt;
* Which titles are avalible?&lt;br /&gt;
* How many titles from a certain genre are avalible?&lt;br /&gt;
* Has the design been propertly developed?&lt;br /&gt;
* Is the View / Information shown user friendly and straightforward?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Search for genre and interpret&lt;br /&gt;
* Filtered search output should be displayed in an information window&lt;br /&gt;
* View (display) and selection possibility for the genres&lt;br /&gt;
* View (display) of the current title and interpret&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* View (display) for the interprets&lt;br /&gt;
* Colored distinction of the amount of titles through intervals&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The detail pannel stays clear until an artist or title is selected and afterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visual attribute &amp;quot;colored square&amp;quot;&lt;br /&gt;
The amount of titles is characterised in terms of color, e.g. blue for 0-500 MP3 files&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visual attribute &amp;quot;table&amp;quot;&lt;br /&gt;
Information should be displayed as a table&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visual attribute &amp;quot;table&amp;quot;&lt;br /&gt;
Information should be displayed as a table&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Durch Auswählen eines Genres, kann ein Interpret/Lied gewählt werden. Dies führt zur Anzeige der Details und zur Möglichkeit, das Lied abzuspielen. Beim Hinzufügen von Songs, kann sich auch die Farbe ändern.&lt;br /&gt;
&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8246</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8246"/>
		<updated>2005-11-22T21:04:31Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Which kinds of Visualisation should be used? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Which title is being played back at this very moment?&lt;br /&gt;
* Which interprets are avalible?&lt;br /&gt;
* Which titles are avalible?&lt;br /&gt;
* How many titles from a certain genre are avalible?&lt;br /&gt;
* Has the design been propertly developed?&lt;br /&gt;
* Is the View / Information shown user friendly and straightforward?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Search for genre and interpret&lt;br /&gt;
* Filtered search output should be displayed in an information window&lt;br /&gt;
* View (display) and selection possibility for the genres&lt;br /&gt;
* View (display) of the current title and interpret&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* View (display) for the interprets&lt;br /&gt;
* Colored distinction of the amount of titles through intervals&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The detail pannel stays clear until an artist or title is selected and afterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Durch Auswählen eines Genres, kann ein Interpret/Lied gewählt werden. Dies führt zur Anzeige der Details und zur Möglichkeit, das Lied abzuspielen. Beim Hinzufügen von Songs, kann sich auch die Farbe ändern.&lt;br /&gt;
&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8245</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8245"/>
		<updated>2005-11-22T21:04:22Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Which kinds of Visualisation should be used? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Which title is being played back at this very moment?&lt;br /&gt;
* Which interprets are avalible?&lt;br /&gt;
* Which titles are avalible?&lt;br /&gt;
* How many titles from a certain genre are avalible?&lt;br /&gt;
* Has the design been propertly developed?&lt;br /&gt;
* Is the View / Information shown user friendly and straightforward?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Search for genre and interpret&lt;br /&gt;
* Filtered search output should be displayed in an information window&lt;br /&gt;
* View (display) and selection possibility for the genres&lt;br /&gt;
* View (display) of the current title and interpret&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* View (display) for the interprets&lt;br /&gt;
* Colored distinction of the amount of titles through intervals&lt;br /&gt;
&lt;br /&gt;
The detail pannel stays clear until an artist or title is selected and afterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Durch Auswählen eines Genres, kann ein Interpret/Lied gewählt werden. Dies führt zur Anzeige der Details und zur Möglichkeit, das Lied abzuspielen. Beim Hinzufügen von Songs, kann sich auch die Farbe ändern.&lt;br /&gt;
&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8244</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8244"/>
		<updated>2005-11-22T21:00:31Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Questions that can be solved using this Visualisation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Which title is being played back at this very moment?&lt;br /&gt;
* Which interprets are avalible?&lt;br /&gt;
* Which titles are avalible?&lt;br /&gt;
* How many titles from a certain genre are avalible?&lt;br /&gt;
* Has the design been propertly developed?&lt;br /&gt;
* Is the View / Information shown user friendly and straightforward?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Durch Auswählen eines Genres, kann ein Interpret/Lied gewählt werden. Dies führt zur Anzeige der Details und zur Möglichkeit, das Lied abzuspielen. Beim Hinzufügen von Songs, kann sich auch die Farbe ändern.&lt;br /&gt;
&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8242</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8242"/>
		<updated>2005-11-22T20:57:49Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Which tasks should be solved? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
A solution should be found which can be suitable for young and old, but also for the power and &amp;quot;less&amp;quot;-listeners. The problem is that presentation mostly functions and in fact is very subjective. On the one side the user want&#039;t to have as much information as possible displayed, and on the other side one want&#039;t to see only the relevant data. &amp;lt;br&amp;gt;&lt;br /&gt;
A good compromise should be found and developed.&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
Durch Auswählen eines Genres, kann ein Interpret/Lied gewählt werden. Dies führt zur Anzeige der Details und zur Möglichkeit, das Lied abzuspielen. Beim Hinzufügen von Songs, kann sich auch die Farbe ändern.&lt;br /&gt;
&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8236</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8236"/>
		<updated>2005-11-22T20:54:37Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* What should be achieved with the Visualisation? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
Information should be displayed clearly and intuitinal. The user should have a clear view of the information, be able to orient him/herself, and always know that the information displayed is about a music sample.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
* Information über Liederanzahl/Genre&lt;br /&gt;
* Ausgabe der Informationen in den ID3 Tags&lt;br /&gt;
* Navigation in den einzelnen Fenstern mit Scrollbalken um mehr Details zu erfahren&lt;br /&gt;
* Ausgabe des gefilterten Suchergebnisses&lt;br /&gt;
* Player zum Abspielen des gewählten Liedes&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8233</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8233"/>
		<updated>2005-11-22T20:49:33Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Are there any known / often used Methods / Visualisation Techniques? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
&lt;br /&gt;
The most popular program for MP3 files is nowadays iTunes von Macintosh (Apple). This is mostly due to the big boom in the distribution of the iPod in the past few years. In order to manage the music archive, iTunes uses a XML (Extensible Markup Language). In this xml file, the metainformation is stored, independent from the proprietary audio format which e.g. use ID3 tags. The advantage is that the metainformation nevertheless can be edited, even if the audio files don&#039;t allow modificatoins to their tags. Besides iTunes contains a visualizer for different music genres and can encode (import) and decode (play-back) music in different audio formats, except for  music samples which is bought in the protected AAC-format.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
informationen sollen übersichtlich und intuitiv dargestellt werden. der user soll sich auf einen blick die zurechtfinden und wissen das es sich hierbei um information eines musik titels handelt.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
* Dimension &amp;quot;Interpret&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
* Dimension &amp;quot;Genre&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;Tabelle&amp;quot;&lt;br /&gt;
Informationen werden im Anzeigefenster als Tabelle angezeigt&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8229</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8229"/>
		<updated>2005-11-22T20:40:56Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* What are the characteristics of the target group? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Like we already mentined (2.1) the business with the music is spreading more and more towards the internet. So over the years there are going to be developed more and more solutions (e.g. for children, elders, amaurotics etc.) for the music market place. &lt;br /&gt;
The target group is going to expand over the years.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
Das wohlbekannteste und am weitersten verbreitete Programm für mp3 Dateien ist iTunes von Macintosh, nicht zuletzt aufgrund des regelrechten Booms von verkauften Ipods der letzen Jahre. iTunes verwenden zur Verwaltung der Musikbliothek eine XML Datei. In ihr sind die Metainformationen der Audiodateien abgelegt, unabhängig von den Metainformationen der proprietären Audioformate, die zum Beispiel ID3-Tags ablegen. Der Vorteil besteht darin, dass die Metainformationen trotzdem verändert werden können, wenn die Audiodateien das Modifizieren ihrer Tags nicht erlauben. iTunes beinhaltet außerdem einen Visualizer für verschiedene vorbelegte Musikgenres und kann Musik in verschiedenen Audioformaten importieren (enkodieren) sowie abspielen (dekodieren), außer bei gekaufter Musik, die im geschützten AAC-Format gekauft wird.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
informationen sollen übersichtlich und intuitiv dargestellt werden. der user soll sich auf einen blick die zurechtfinden und wissen das es sich hierbei um information eines musik titels handelt.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
* Dimension &amp;quot;MP3 Anzahl&amp;quot; --&amp;gt; visuelles Attribut &amp;quot;farbliches Viereck&amp;quot;&lt;br /&gt;
Die Anzahl der Lieder wird farblich gekennzeichnet, zB blau für 0-500 MP3s&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8225</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8225"/>
		<updated>2005-11-22T20:37:26Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Who should use this visualation technique? */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
&lt;br /&gt;
In the past years media is getting much smaller, much better in quality, and also provide more space for our data. If you convert conventional audio files from CDs to the MP3 Format, you can afford to have your whole music collection on one larger hard drive. The business within the musich industry is taking over the internet. You are either able to download song, or listen to them directly through streams. So your favorite song ist just a click away!&amp;lt;br&amp;gt;&lt;br /&gt;
Because of the fact that this new art of saving your songs, albums and so on, does not contain the usually shipped cd covers which were a very good visualisation of the audio you are listening to, it has become very important to find a good solution for the visualisation of your music archive. &amp;lt;br&amp;gt;&lt;br /&gt;
At this moment the target group are mostly the people who already use the MP3 format to store their audio data, but should expend soon to all the other music-lovers.&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Wie in Punkt 2.1 bereits erwähnt, wird sich der Handel mit der Musik immer mehr ins Internet verlagern. Somit werden stätig mehrere , bessere und user spezifischere (zb für Kinder, Pensionisten, Blinde, ...) Programme und Plattformen für den Musikmarkt entstehen. Die Zielgruppe wird sich somit continuierlich vergrößern.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
Das wohlbekannteste und am weitersten verbreitete Programm für mp3 Dateien ist iTunes von Macintosh, nicht zuletzt aufgrund des regelrechten Booms von verkauften Ipods der letzen Jahre. iTunes verwenden zur Verwaltung der Musikbliothek eine XML Datei. In ihr sind die Metainformationen der Audiodateien abgelegt, unabhängig von den Metainformationen der proprietären Audioformate, die zum Beispiel ID3-Tags ablegen. Der Vorteil besteht darin, dass die Metainformationen trotzdem verändert werden können, wenn die Audiodateien das Modifizieren ihrer Tags nicht erlauben. iTunes beinhaltet außerdem einen Visualizer für verschiedene vorbelegte Musikgenres und kann Musik in verschiedenen Audioformaten importieren (enkodieren) sowie abspielen (dekodieren), außer bei gekaufter Musik, die im geschützten AAC-Format gekauft wird.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
informationen sollen übersichtlich und intuitiv dargestellt werden. der user soll sich auf einen blick die zurechtfinden und wissen das es sich hierbei um information eines musik titels handelt.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
The detail pannel stays blanc until an artist or song is selected and anfterwards gets filled with all the information.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8220</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8220"/>
		<updated>2005-11-22T20:31:17Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Dataset Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
In the following Table, you can find the attributes which should be contained in a MP3 file. These attributes are 1-dimensional.&amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
Datenträger wurden in den letzten Jahren immer kleiner und besser und stellen mehr und mehr Speicherplatz zur Verfügung. In mp3 Format convertiert, passt heutzutage nahe zu jede Musiksammlung auf eine Festplatte. Das Geschäft mit der Musik spielt sich mehr und mehr im Internet, per download oder streaming der lieblings Songs. Da es bei dieser Art von Speicherung kein herkömmliches cover bzw booklet mehr gibt ist wird es immer wichtiger diese Flut an Daten gut verwaltet und visualisert dazustellen. Die Zielgruppe umfasst im moment nur die leute die bereits mp3 zum speichern ihrer Musikstücke verwenden, wird sich aber in einigen jahren auf nahe zu alle Musikliebhaber erweitern&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Wie in Punkt 2.1 bereits erwähnt, wird sich der Handel mit der Musik immer mehr ins Internet verlagern. Somit werden stätig mehrere , bessere und user spezifischere (zb für Kinder, Pensionisten, Blinde, ...) Programme und Plattformen für den Musikmarkt entstehen. Die Zielgruppe wird sich somit continuierlich vergrößern.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
Das wohlbekannteste und am weitersten verbreitete Programm für mp3 Dateien ist iTunes von Macintosh, nicht zuletzt aufgrund des regelrechten Booms von verkauften Ipods der letzen Jahre. iTunes verwenden zur Verwaltung der Musikbliothek eine XML Datei. In ihr sind die Metainformationen der Audiodateien abgelegt, unabhängig von den Metainformationen der proprietären Audioformate, die zum Beispiel ID3-Tags ablegen. Der Vorteil besteht darin, dass die Metainformationen trotzdem verändert werden können, wenn die Audiodateien das Modifizieren ihrer Tags nicht erlauben. iTunes beinhaltet außerdem einen Visualizer für verschiedene vorbelegte Musikgenres und kann Musik in verschiedenen Audioformaten importieren (enkodieren) sowie abspielen (dekodieren), außer bei gekaufter Musik, die im geschützten AAC-Format gekauft wird.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
informationen sollen übersichtlich und intuitiv dargestellt werden. der user soll sich auf einen blick die zurechtfinden und wissen das es sich hierbei um information eines musik titels handelt.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
Die Details wie Interpret, Album, Songtitel, usw werden erst angezeigt, wenn ein Interpret oder Song ausgewählt wurde, ansonsten ist das Anzeigenfenster leer.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8217</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Design</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Design&amp;diff=8217"/>
		<updated>2005-11-22T20:30:01Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Application Area Analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Topic ==&lt;br /&gt;
MP3 Archive Visualization&lt;br /&gt;
&lt;br /&gt;
== Description of the Application Area and given Dataset ==&lt;br /&gt;
&lt;br /&gt;
=== Application Area Analysis ===&lt;br /&gt;
The application area is the creation of a MP3 archive visualisation and its ID3 tags. This should contain information like the name of the artist, the year it came out, name of the album etc. &amp;lt;br&amp;gt;&lt;br /&gt;
ID3 tags store information within the MP3 files. Originally ID3 tags held just the basic text-only information about a music file. They had a standard size and standarized information.&amp;lt;br&amp;gt;&lt;br /&gt;
The most important and also special thing about this Project ist to create a useful visualisation, which can store lots of information in one place, without having to abstain from a user friendly interface.&lt;br /&gt;
&lt;br /&gt;
=== Dataset Analysis ===&lt;br /&gt;
&lt;br /&gt;
In der folgenden Tabelle sind die Attribute aufgelistet, die eine MP3 Datei enthält. Diese Attribute sind 1-dimensional. &amp;lt;br&amp;gt;&lt;br /&gt;
A MP3 file contains only attributes with data.&lt;br /&gt;
{|&lt;br /&gt;
|- style=&amp;quot;background:#e06113&amp;quot;&lt;br /&gt;
!Attribute&lt;br /&gt;
!Data type&lt;br /&gt;
!Description&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track&lt;br /&gt;
|Discreet&lt;br /&gt;
|Track Name&lt;br /&gt;
|-&lt;br /&gt;
|Artist&lt;br /&gt;
|Discreet&lt;br /&gt;
|Artist name&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Album&lt;br /&gt;
|Discreet&lt;br /&gt;
|Album name&lt;br /&gt;
|-&lt;br /&gt;
|Genre&lt;br /&gt;
|Nominal&lt;br /&gt;
|Type or category of music&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The track&#039;s position on a CD&lt;br /&gt;
|-&lt;br /&gt;
|Disc #&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The CD&#039;s position in relationship to other CDs in a series, such as a boxed set&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Track count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of tracks on the disc&lt;br /&gt;
|-&lt;br /&gt;
|Disc count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Total number of discs&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Composer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Composer of the track&lt;br /&gt;
|-&lt;br /&gt;
|Performer&lt;br /&gt;
|Discreet&lt;br /&gt;
|Performer of the Track&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Year&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The year the track was recorded&lt;br /&gt;
|-&lt;br /&gt;
|Size&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The file size&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Total time&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The total time of the song&lt;br /&gt;
|-&lt;br /&gt;
|Date added&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date when song was added to archive&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Play count&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Number of time the song was played&lt;br /&gt;
|-&lt;br /&gt;
|Play date&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Date of last play&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Bit rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Bit rate of song&lt;br /&gt;
|-&lt;br /&gt;
|BPM&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Beats per Minute&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Sample rate&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Sample rate of song&lt;br /&gt;
|- &lt;br /&gt;
|Location&lt;br /&gt;
|Discreet&lt;br /&gt;
|File location&lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Kind&lt;br /&gt;
|Nominal&lt;br /&gt;
|Kind of file&lt;br /&gt;
|-&lt;br /&gt;
|Rating&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Personal rating &lt;br /&gt;
|- style=&amp;quot;background:#fd8d48&amp;quot;&lt;br /&gt;
|Comments&lt;br /&gt;
|Ordinal&lt;br /&gt;
|Any comments you care to make about the track&lt;br /&gt;
|-&lt;br /&gt;
|Mood&lt;br /&gt;
|Ordinal&lt;br /&gt;
|The mood of the track&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Target Group Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Who should use this visualation technique? ===&lt;br /&gt;
Datenträger wurden in den letzten Jahren immer kleiner und besser und stellen mehr und mehr Speicherplatz zur Verfügung. In mp3 Format convertiert, passt heutzutage nahe zu jede Musiksammlung auf eine Festplatte. Das Geschäft mit der Musik spielt sich mehr und mehr im Internet, per download oder streaming der lieblings Songs. Da es bei dieser Art von Speicherung kein herkömmliches cover bzw booklet mehr gibt ist wird es immer wichtiger diese Flut an Daten gut verwaltet und visualisert dazustellen. Die Zielgruppe umfasst im moment nur die leute die bereits mp3 zum speichern ihrer Musikstücke verwenden, wird sich aber in einigen jahren auf nahe zu alle Musikliebhaber erweitern&lt;br /&gt;
&lt;br /&gt;
=== What are the characteristics of the target group? ===&lt;br /&gt;
Wie in Punkt 2.1 bereits erwähnt, wird sich der Handel mit der Musik immer mehr ins Internet verlagern. Somit werden stätig mehrere , bessere und user spezifischere (zb für Kinder, Pensionisten, Blinde, ...) Programme und Plattformen für den Musikmarkt entstehen. Die Zielgruppe wird sich somit continuierlich vergrößern.&lt;br /&gt;
&lt;br /&gt;
=== Are there any known / often used Methods / Visualisation Techniques? ===&lt;br /&gt;
Das wohlbekannteste und am weitersten verbreitete Programm für mp3 Dateien ist iTunes von Macintosh, nicht zuletzt aufgrund des regelrechten Booms von verkauften Ipods der letzen Jahre. iTunes verwenden zur Verwaltung der Musikbliothek eine XML Datei. In ihr sind die Metainformationen der Audiodateien abgelegt, unabhängig von den Metainformationen der proprietären Audioformate, die zum Beispiel ID3-Tags ablegen. Der Vorteil besteht darin, dass die Metainformationen trotzdem verändert werden können, wenn die Audiodateien das Modifizieren ihrer Tags nicht erlauben. iTunes beinhaltet außerdem einen Visualizer für verschiedene vorbelegte Musikgenres und kann Musik in verschiedenen Audioformaten importieren (enkodieren) sowie abspielen (dekodieren), außer bei gekaufter Musik, die im geschützten AAC-Format gekauft wird.&lt;br /&gt;
&lt;br /&gt;
== Purpose of the Visualisation ==&lt;br /&gt;
&lt;br /&gt;
=== What should be achieved with the Visualisation? ===&lt;br /&gt;
informationen sollen übersichtlich und intuitiv dargestellt werden. der user soll sich auf einen blick die zurechtfinden und wissen das es sich hierbei um information eines musik titels handelt.&lt;br /&gt;
&lt;br /&gt;
=== Which tasks should be solved? ===&lt;br /&gt;
Es soll möglichst ein Mittelweg gefunden werden das alle User ob jung oder alt viel oder wenig Hörer zufriedengestellt wird. Das Problem an daran ist das Dartstellung oft sehr subjectiv wirken bzw auch sind. Dem einen sind die Dargestellten Informationen zuviel den anderen zu ungenau. Es soll somit ein guter kompromis gefunden und umgesetzt werden&lt;br /&gt;
&lt;br /&gt;
=== Questions that can be solved using this Visualisation ===&lt;br /&gt;
&lt;br /&gt;
* Welcher Titel wird im Moment abgespielt?&lt;br /&gt;
* Welche Interpreten sind vorhanden?&lt;br /&gt;
* Welche Lieder sind vorhanden?&lt;br /&gt;
* Wieviel Rock,POP,etc Lieder sind vorhanden?&lt;br /&gt;
* Ist die Farbe gut eingesetzt?&lt;br /&gt;
* Sind die Informationen gut überschaubar?&lt;br /&gt;
&lt;br /&gt;
== Designproposal ==&lt;br /&gt;
&lt;br /&gt;
=== Which kinds of Visualisation should be used? ===&lt;br /&gt;
* Suchfenster für Genre &amp;amp; Interpret&lt;br /&gt;
* Gefilterte Suchergebnisse werden ausgegeben im Informationsfenster&lt;br /&gt;
* Anzeige und Auswahlfenster der Genres&lt;br /&gt;
* Playerfenster mit aktuell laufendem Lied und Interpreten&lt;br /&gt;
* Scrolling list up &amp;amp; down&lt;br /&gt;
* Anzeigefenster des Interpreten&lt;br /&gt;
* Farbliche Unterscheidung der Liederanzahl durch Intervalle&lt;br /&gt;
Die Details wie Interpret, Album, Songtitel, usw werden erst angezeigt, wenn ein Interpret oder Song ausgewählt wurde, ansonsten ist das Anzeigenfenster leer.&lt;br /&gt;
&lt;br /&gt;
=== Visual Mapping ===&lt;br /&gt;
&lt;br /&gt;
=== Description of Used Techniques / Applied Principles ===&lt;br /&gt;
&lt;br /&gt;
=== Possibilities of the Interaction ===&lt;br /&gt;
&lt;br /&gt;
=== Mockup(s) / Fake Screenshot(s) ===&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
http://www.dougscripts.com/itunes/itinfo/id3tags00.php &amp;lt;br&amp;gt;&lt;br /&gt;
http://home.real.com/product/help/rhapv3_ts/en/Track_Info_Edit.htm &amp;lt;br&amp;gt;&lt;br /&gt;
http://netzwelt.de/lexikon/ITunes.html&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7709</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7709"/>
		<updated>2005-11-03T22:48:00Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* References */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example II&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Year&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Corrections ==&lt;br /&gt;
&lt;br /&gt;
* The graph should be illustrated a lot simpler, even almost self-explanatory.&lt;br /&gt;
* The background pattern should be removed.&lt;br /&gt;
* The images(rabbit etc.) are unnecessary and should also be left out in the new version.&lt;br /&gt;
* Proportion of the single graphs should be consistent.&lt;br /&gt;
* The color of the graphs should differ.&lt;br /&gt;
* The axes should be clearly defined.&lt;br /&gt;
* The Caption for the graph should be clear and very well understandable.&lt;br /&gt;
* The user should be able to see the most important information on the first look.&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7708</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7708"/>
		<updated>2005-11-03T22:47:05Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Correction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example II&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Year&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Corrections ==&lt;br /&gt;
&lt;br /&gt;
* The graph should be illustrated a lot simpler, even almost self-explanatory.&lt;br /&gt;
* The background pattern should be removed.&lt;br /&gt;
* The images(rabbit etc.) are unnecessary and should also be left out in the new version.&lt;br /&gt;
* Proportion of the single graphs should be consistent.&lt;br /&gt;
* The color of the graphs should differ.&lt;br /&gt;
* The axes should be clearly defined.&lt;br /&gt;
* The Caption for the graph should be clear and very well understandable.&lt;br /&gt;
* The user should be able to see the most important information on the first look.&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7707</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7707"/>
		<updated>2005-11-03T22:46:59Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Incompleteness */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example II&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Year&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
* The graph should be illustrated a lot simpler, even almost self-explanatory.&lt;br /&gt;
* The background pattern should be removed.&lt;br /&gt;
* The images(rabbit etc.) are unnecessary and should also be left out in the new version.&lt;br /&gt;
* Proportion of the single graphs should be consistent.&lt;br /&gt;
* The color of the graphs should differ.&lt;br /&gt;
* The axes should be clearly defined.&lt;br /&gt;
* The Caption for the graph should be clear and very well understandable.&lt;br /&gt;
* The user should be able to see the most important information on the first look.&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7706</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7706"/>
		<updated>2005-11-03T22:45:01Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Correction */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example II&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Years&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
* The graph should be illustrated a lot simpler, even almost self-explanatory.&lt;br /&gt;
* The background pattern should be removed.&lt;br /&gt;
* The images(rabbit etc.) are unnecessary and should also be left out in the new version.&lt;br /&gt;
* Proportion of the single graphs should be consistent.&lt;br /&gt;
* The color of the graphs should differ.&lt;br /&gt;
* The axes should be clearly defined.&lt;br /&gt;
* The Caption for the graph should be clear and very well understandable.&lt;br /&gt;
* The user should be able to see the most important information on the first look.&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7504</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7504"/>
		<updated>2005-11-03T13:27:44Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Lie-Factor */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example II&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Years&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7502</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7502"/>
		<updated>2005-11-03T13:27:36Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Lie-Factor */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Example I&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Years&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7499</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7499"/>
		<updated>2005-11-03T13:27:13Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
Example I&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
=== Incompleteness ===&lt;br /&gt;
&lt;br /&gt;
A clear and understandable legend of the Elements is missing. &lt;br /&gt;
&lt;br /&gt;
The user can&#039;t clearly recognise if the chip speed is in MHz or GHz.&lt;br /&gt;
&lt;br /&gt;
The X-Axis should be labeled (&amp;quot;Years&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
The structure of the hints for the different stages should be consistent.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7492</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7492"/>
		<updated>2005-11-03T12:59:54Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Lie-Factor ===&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
Example I&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Chart-Junk ===&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
=== Color ===&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7491</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7491"/>
		<updated>2005-11-03T12:59:15Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Bad Data-ink ratio ===&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Lie-Factor&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
Example I&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Chart-Junk&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7490</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7490"/>
		<updated>2005-11-03T12:58:56Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Lie-Factor&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
Example I&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Chart-Junk&lt;br /&gt;
&lt;br /&gt;
The Illustrations are unnecessary, because they are nonserious.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7488</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7488"/>
		<updated>2005-11-03T12:52:02Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio&lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Lie-Factor&lt;br /&gt;
&lt;br /&gt;
The Y - Axis should start at zero, and the single graphs should be aligned accending.&lt;br /&gt;
&lt;br /&gt;
The X &amp;amp; Y - Axis is not proportionaly represented. &lt;br /&gt;
&lt;br /&gt;
Example I&lt;br /&gt;
&lt;br /&gt;
The two points on the average price scale &amp;quot;2.0&amp;quot; and &amp;quot;1.9&amp;quot; are on the same hight. This can not be real.&lt;br /&gt;
&lt;br /&gt;
Example II&lt;br /&gt;
&lt;br /&gt;
(Chip Speed) The distance between 66 MHz and 1100 MHz is just slightly smaller than between 1100 and 3000 MHz.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7486</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7486"/>
		<updated>2005-11-03T12:40:51Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: &lt;br /&gt;
&lt;br /&gt;
There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7485</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7485"/>
		<updated>2005-11-03T12:39:42Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. /n Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7484</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7484"/>
		<updated>2005-11-03T12:39:24Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer.&lt;br /&gt;
&lt;br /&gt;
  Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be   obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7483</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7483"/>
		<updated>2005-11-03T12:39:12Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer.&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7481</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7481"/>
		<updated>2005-11-03T12:39:03Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. &lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7480</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7480"/>
		<updated>2005-11-03T12:38:55Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer.&lt;br /&gt;
&lt;br /&gt;
Using nearly the same color for two different data sources (Units shipped &amp;amp; Chip speed) can be obscuring and misguiding.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7479</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7479"/>
		<updated>2005-11-03T12:36:21Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important or even warping to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer.&lt;br /&gt;
&lt;br /&gt;
*&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7478</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 2</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_2&amp;diff=7478"/>
		<updated>2005-11-03T12:34:08Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* Drawbacks */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Poor Graphic ==&lt;br /&gt;
[[Image:Few04tracking-trends.gif|none|thumb|450px|Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== Drawbacks ==&lt;br /&gt;
&lt;br /&gt;
* Bad Data-ink ratio: There are a couple of elements which are not important to the graph, like: the background pattern (image), the images showing the development. These just overload the graph, so without them, the graph would be a lot simpler, and clearer. And through this, we can also save a lot on the Ink.&lt;br /&gt;
&lt;br /&gt;
== Correction ==&lt;br /&gt;
&lt;br /&gt;
== Redesigned Graphic ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Tracking the Trends.png|none|thumb|450px|Incomplete: Better Graphic of Tracking the Trends]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7477</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7477"/>
		<updated>2005-11-03T12:03:39Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* GOLDEN RATIO IN GEOMETRY AND MATHEMATICS */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images&lt;br /&gt;
&lt;br /&gt;
[Obara] Samuel Obara, Golden Ratio in Art and Architecture, University of Georgia, http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
[Livio, 2002] Mario Livio, The golden ratio and aesthetics, November 2002, http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7476</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7476"/>
		<updated>2005-11-03T12:03:28Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* GOLDEN RATIO IN GEOMETRY AND MATHEMATICS */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci1213.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images&lt;br /&gt;
&lt;br /&gt;
[Obara] Samuel Obara, Golden Ratio in Art and Architecture, University of Georgia, http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
[Livio, 2002] Mario Livio, The golden ratio and aesthetics, November 2002, http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_1&amp;diff=7475</id>
		<title>Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 1</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Teaching:TUW_-_UE_InfoVis_WS_2005/06_-_Gruppe_09_-_Aufgabe_1&amp;diff=7475"/>
		<updated>2005-11-03T11:53:05Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Aufgabenstellung ==&lt;br /&gt;
[http://www.asgaard.tuwien.ac.at/~aigner/teaching/infovis_ue/infovis_ue_aufgabe1.html Beschreibung der Aufgabe 1]&lt;br /&gt;
=== Auszuarbeitende Designprinzipien ===&lt;br /&gt;
*&#039;&#039;&#039;[[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 1 - Color Coding / Color|Color Coding / Color]]&#039;&#039;&#039;&lt;br /&gt;
*&#039;&#039;&#039;[[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09 - Aufgabe 1 - Golden Ratio|Golden Ratio]]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7474</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7474"/>
		<updated>2005-11-03T11:51:47Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images&lt;br /&gt;
&lt;br /&gt;
[Obara] Samuel Obara, Golden Ratio in Art and Architecture, University of Georgia, http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
[Livio, 2002] Mario Livio, The golden ratio and aesthetics, November 2002, http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7473</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7473"/>
		<updated>2005-11-03T11:51:07Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Obara] Samuel Obara, Golden Ratio in Art and Architecture, University of Georgia, http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7472</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7472"/>
		<updated>2005-11-03T11:49:42Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7471</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7471"/>
		<updated>2005-11-03T11:49:23Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[Batterywholesaler] Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images/credit-cards.jpg&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7470</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7470"/>
		<updated>2005-11-03T11:48:51Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;[Batterywholesaler]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7469</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7469"/>
		<updated>2005-11-03T11:47:48Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7468</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7468"/>
		<updated>2005-11-03T11:47:30Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7467</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7467"/>
		<updated>2005-11-03T11:47:11Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7466</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7466"/>
		<updated>2005-11-03T11:46:52Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Dr Ron Knott, 1996-2005]&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[Dr Ron Knott, 1996-2005] Dr Ron Knott, Fibonacci Numbers and The Golden Section in Art, Architecture and Music, University of Surrey, 1996-2005,  http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7465</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7465"/>
		<updated>2005-11-03T11:43:17Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Brooker]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads.&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[Brooker] Carolyn Brooker, The Golden Ratio in the Arts,  University of Bath, http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7462</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7462"/>
		<updated>2005-11-03T11:39:28Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7461</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7461"/>
		<updated>2005-11-03T11:38:44Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: /* GOLDEN RATIO IN ART &amp;amp; DESIGN */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Pentagramm [9]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio, November 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7459</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7459"/>
		<updated>2005-11-03T11:37:33Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Pentagramm [9]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio; Nov. 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Pentagram, 2005] Wikipedia.org, Pentagram, 29.10.2005, http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7458</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7458"/>
		<updated>2005-11-03T11:36:42Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Pentagramm [9]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio; Nov. 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[9]. Wikipedia.org: Pentagramm&lt;br /&gt;
&lt;br /&gt;
* http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7457</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7457"/>
		<updated>2005-11-03T11:36:23Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, Golden Ratio, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Rectangle  [8]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Pentagramm [9]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio; Nov. 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{||&lt;br /&gt;
|[[Image:card.jpg]] &lt;br /&gt;
|valign=top|&lt;br /&gt;
Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==CONCLUSION==&lt;br /&gt;
&lt;br /&gt;
The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
==REFERENCES==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden Ratio, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
&lt;br /&gt;
[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
&lt;br /&gt;
[Wikipedia, Golden rectangle, 2005] Wikipedia.org, Golden rectangle, 24.10.2005, http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
&lt;br /&gt;
[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
&lt;br /&gt;
* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
&lt;br /&gt;
* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
&lt;br /&gt;
* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[6]. Credit Cards&lt;br /&gt;
&lt;br /&gt;
* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
&lt;br /&gt;
* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[9]. Wikipedia.org: Pentagramm&lt;br /&gt;
&lt;br /&gt;
* http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
&lt;br /&gt;
Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
	</entry>
	<entry>
		<id>https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7456</id>
		<title>Golden Ratio</title>
		<link rel="alternate" type="text/html" href="https://infovis-wiki.net/w/index.php?title=Golden_Ratio&amp;diff=7456"/>
		<updated>2005-11-03T11:34:00Z</updated>

		<summary type="html">&lt;p&gt;UE-InfoVis0506 0125255: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== GOLDEN RATIO ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
===DEFINITION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* In the Mathmatics the number 1.61803399 is the golden ratio. [Wikipedia, 2005]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* Two quantities are said to be in the golden ratio, if &amp;quot;the whole is to the larger as the larger is to the smaller&amp;quot; [Absoluteastronomy]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
* The golden ratio is sybolised by the Greek letter [[Image:Phi.png]] (phi) and also by the less know τ (tau).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===INTRODUCTION===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The use of the golden ratio can be found in many different fields. In mathematics, architecture,  geometry, science, biology, nature, art, design and many others. &lt;br /&gt;
&lt;br /&gt;
Other names of this word are as follows: the &#039;&#039;&#039;golden mean&#039;&#039;&#039;,&#039;&#039;&#039; golden section&#039;&#039;&#039;, &#039;&#039;&#039;golden number&#039;&#039;&#039;, &#039;&#039;&#039;divine proportion&#039;&#039;&#039; or &#039;&#039;&#039;sectio divina&#039;&#039;&#039;(golden Cut).&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===HISTORY===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The Golden ratio can be found as far back to the building of the Great Pyramid of Giza around  2560 BC. &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The actual discovery of the golden ratio can be lead back to the ancient Greeks and the Pythagoras. The greek mathematician Euclid of Alexandria (365BC - 300BC) mentioned the golden mean.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser...| Euclid of Alexandria(ca. 300BC)}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even Plato, the Greek Philosopher was occupied by the Golden ratio.&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN GEOMETRY AND MATHEMATICS===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Fibonacci introduced to us, the Fibonacci-Numbers:&lt;br /&gt;
&lt;br /&gt;
1,2,3,5,8,13,21,34,55,89,144,233,377,....&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Every number of this alignement equals to 0,168 if you divide it with the one before it, and 1,618 when you divide it with the number after it.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
These are the relationships between the larger and smaller numbers in the golden ratio.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below you can find an example of the Fibonacci-Numbers&lt;br /&gt;
&lt;br /&gt;
[[Image:fibonacci.jpg]]&lt;br /&gt;
&lt;br /&gt;
[Kaphammel, 2000]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Golden Ratio&#039;&#039;&#039; can also be found in different kinds of shapes. This goes on from the usual rechangle, through different kinds of triangles and to the very complicated shapes like the pentacle.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A rectanle is a Golden rectangle when the sides are in the 1:0,618 proportion. Below is an example of this kind of shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Golden_rectangle.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Rectangle  [8]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Another shape where the golden ratio can be found is the Pentagramm. This image below, illustrates the hidden golden ratio in this very special shape.&lt;br /&gt;
&lt;br /&gt;
[[Image:Pentagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Golden Pentagramm [9]&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
----&lt;br /&gt;
&lt;br /&gt;
===GOLDEN RATIO IN ART &amp;amp; DESIGN===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Since the beginning of ART &amp;amp; Design, the artist and designers used the golden ratio in order to manage and achieve beauty and balance in their creations.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{Quotation|... Many books claim that if you draw a rechtangle around the face of Leonardo da Vinci&#039;s Mona Lisa, the ratio of the height to width of the rectangle is equal to the Golden Ratio ...| Mario Livio; Nov. 2002}} &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
The evidence of the golden ratio was proved on many different creations, like the Aztek decorations below:&lt;br /&gt;
&lt;br /&gt;
[[Image:aztec.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The space between the two heads is exacly Phi times the width of the heads. [4]&#039;&#039;&#039;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The California Polytechnic State University is planing to build a new Engineering Plaza. This new construction is based on the Fibonacci numbers. The whole plan also bases on some shapes, which can be used to show the meaning of the golden ratio. The Designers of this new Plaza have chosen the Fibonacci series spiral, or also called the golden mean to design this new state of the art plaza. Below you can see, what the plaza should look like.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:polyplaza.jpg]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;California Polytechnic Engineering Plaza [5]&#039;&#039;&#039; &lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Even the mountainbike shown below, has the golden ratio built in. Take a look at the image, and the marked golden sections of the bike. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
[[Image:bike.jpg]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Mountainbike Trek Fuel 90 (belongs to Brian Agron of Fairfax)[5]&#039;&#039;&#039;&lt;br /&gt;
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So the use of the golden ratio can not only be found in ancient paintings and sculptures, but also in the stunning creations still to come.&lt;br /&gt;
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Did you know, that if you measure a credit-card, the outcome would be a perfect golden rectangle. This ofcourse shows, that the golden ratio is very well in use. Even if it comes to the proportions and masses of everyday things like credit cards. &#039;&#039;&#039;Credit Cards [6]&#039;&#039;&#039;&lt;br /&gt;
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==CONCLUSION==&lt;br /&gt;
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The very simple and suitable conclusion is that the Golden Ratio can be found everywhere. In probably any field you can think of. And in many, not all, but at least very many cases, the Golden Ratio is used to improve something. Some don&#039;t even know, that something they have created respects the laws of the Golden Ratio. This is kind of like the ancient egyptians, who probably used the Golden Ratio, but never thought of, and so never really discovered it.&lt;br /&gt;
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&#039;&#039;&#039;So look for it, maybe you can discover an ancient theory in something quite modern...&#039;&#039;&#039;&lt;br /&gt;
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==REFERENCES==&lt;br /&gt;
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[Wikipedia, 2005] Wikipedia.org, Golden Ratio, 19.10.2005, http://en.wikipedia.org/wiki/Golden_ratio&lt;br /&gt;
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[Absoluteastronomy] Absoluteastronomy, Golden Ratio, http://www.absoluteastronomy.com/encyclopedia/g/go/golden_ratio.htm&lt;br /&gt;
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[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage,  Braunschweig, 2000&lt;br /&gt;
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[3]. University of Georgia: Golden Ratio in Art and Architecture; Samuel Obara&lt;br /&gt;
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* http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html&lt;br /&gt;
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[4]. THE GOLDEN RATIO IN THE ARTS&lt;br /&gt;
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* http://students.bath.ac.uk/ma1caab/art.html&lt;br /&gt;
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[5]. Fibonacci Numbers and The Golden Section in Art, Architecture and Music&lt;br /&gt;
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* http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibInArt.html&lt;br /&gt;
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[6]. Credit Cards&lt;br /&gt;
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* http://www.batterywholesaler.co.uk/battery_images/&lt;br /&gt;
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[7]. Online Article: The golden ratio and aesthetics; by Mario Livio; November 2002&lt;br /&gt;
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* http://plus.maths.org/issue22/features/golden/&lt;br /&gt;
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[8]. Wikipedia.org: Golden Rectangle&lt;br /&gt;
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* http://en.wikipedia.org/wiki/Golden_rectangle&lt;br /&gt;
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[9]. Wikipedia.org: Pentagramm&lt;br /&gt;
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* http://en.wikipedia.org/wiki/Pentagram&lt;br /&gt;
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Back to [[Teaching:TUW - UE InfoVis WS 2005/06 - Gruppe 09|Group 09]]&lt;br /&gt;
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Back to [[Teaching:TUW - UE InfoVis WS 2005/06|Teaching:TUW - UE InfoVis WS 2005/06 ]]&lt;/div&gt;</summary>
		<author><name>UE-InfoVis0506 0125255</name></author>
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