Golden Ratio - Revision history

Ipodsoft at 04:53, 22 November 2012

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			'''Source(s):''' [http://www.downloadranking.com Golden Ratio calculation tool]

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94.23.1.18: /* REFERENCES */

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REFERENCES

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	~~==REFERENCES==~~		I am. But you're confusing the deerins with that word. They don't understand what a consensus is or isn't or how they come to exist.Besides, don't you know that every scientific organization is made up of weak-kneed scientists who are spreading fairytales and that leftist alarmists like to tell them to small children to frighten them.You know Like Bigfoot.Dax sigh You know nothing of science. Look up "falsifiability". Besides that, if you want to use legalese, you have the burden of proof since you are the one crying foul. If you initiate a case (such as AGW is a socialist plot to implement the NWO), you are considered the plaintiff and assume the burden of proof. In other words, YOU need to back up YOUR claims as scientists already back up theirs in the scientific literature I'm sorry richie, but not a single one of your examples is relevant to the question. Though when you use the Einstein quote, you may want practice some introspection.You may also want to stop plagiarizing. It's illegal, you know?_

	~~[Livio, 2002] Mario Livio~~. ~~The Golden Ratio: The Story of Phi, The World~~'~~s most Astonishing Number~~. ~~Broadway Books, New York, 2002~~

	~~[Summerson, 1963] John Summerson~~. ~~Heavenly Mansions: And Other Essays on Architecture. Norton~~, ~~New York, 1963, p~~.37

	~~[Joyce, 1997] David E~~.~~Joyce~~. ~~Euclid Elements Book 6, Definition 3~~. ~~Retrieved at: November 6, 2009.''[http://aleph0.clarku.edu/~djoyce/java/elements/toc.html Elements]''~~

	~~[Kaphammel~~, ~~2000] Günther Kahammel~~, ~~Der goldene Schnitt, 1~~. ~~Auflage,~~ ~~Braunschweig~~, ~~2000~~

	~~[Obara, 2000] Samuel Obara. Golden Ratio in Art~~ and ~~Architectue. The University~~ of ~~Georgia~~. ~~Retrieved at: November 6, 2009. http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html~~

	~~[Knott~~, ~~2009] Ron Knott. Fibonacci Numbers and The Golden Section~~ in ~~Art~~, ~~Architecture and Music~~. ~~Retrieved at: November 6~~, ~~2009~~. ~~http://www~~.~~maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html~~

	~~[Wikipedia~~, ~~2009a] Wikipedia.org, Golden Ratio, Created at: October 19, 2005. Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_ratio~~

	~~[Wikipedia, 2009b] Wikipedia.org, Golden rectangle, Created at: Ocotober 24, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_rectangle~~

	~~[Wikipedia, 2009c] Wikipedia.org, Pentagram, Created at: 29 October, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Pentagram~~
	~~[[Category:Glossary]]~~

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	[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html		[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html

			[Wikipedia, 2005a] Wikipedia.org, Golden Ratio, Created at: October 19, 2005. Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_ratio

			[Wikipedia, 2005b] Wikipedia.org, Golden rectangle, Created at: Ocotober 24, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_rectangle

			[Wikipedia, 2005c] Wikipedia.org, Pentagram, Created at: 29 October, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Pentagram
	[[Category:Glossary]]		[[Category:Glossary]]

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	[[Image:golden-ratio-graphical.png\|right\|thumb\|upright\|]]		[[Image:golden-ratio-graphical.png\|right\|thumb\|upright\|]]
	~~[Joyce, 1997]~~
	The history of the golden ration at least goes back to the ancient greeks, Pythagoras and his followers. The greek mathematician Euclid of Alexandria (365BC - 300BC) first mentioned the '''golden mean''':		The history of the golden ration at least goes back to the ancient greeks, Pythagoras and his followers. The greek mathematician Euclid of Alexandria (365BC - 300BC) first mentioned the '''golden mean'''[Joyce, 1997]:

	{{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)}}		{{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)}}

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	[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000		[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000

	[Obara, 2000] Samuel Obara. Golden Ratio in Art and Architectue. The University of Georgia. Retrieved at: November 6, 2009.~~''[~~http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html~~]''~~		[Obara, 2000] Samuel Obara. Golden Ratio in Art and Architectue. The University of Georgia. Retrieved at: November 6, 2009. http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html

	[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009.~~''[~~http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html~~]''~~		[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html

	[[Category:Glossary]]		[[Category:Glossary]]

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	[[Image:cards.jpg\|120px]]		[[Image:cards.jpg\|120px]]
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	\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.~~[Brooker]~~\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.		\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.
	\|}		\|}

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	[[Image:cards.jpg\|120px]]		[[Image:cards.jpg\|120px]]
	\|- align=center		\|- align=center
	\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.~~[Batterywholesaler]~~		\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.
	\|}		\|}

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	[[Image:polyplaza.jpg\|120px]]		[[Image:polyplaza.jpg\|120px]]
	\|- align=center		\|- align=center
	\| The Great Pyramid has proportions designed according to golden ratio.[~~Samuel~~ Obara]\|\| Even in proportions of Parthenon you can find golden spiral consisting of golden rectangles.[~~Samuel~~ Obara]\|\| 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.[Dr Knott, ~~1996-2005~~]		\| The Great Pyramid has proportions designed according to golden ratio.[Obara, 2000]\|\| Even in proportions of Parthenon you can find golden spiral consisting of golden rectangles.[Obara, 2000]\|\| 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.[Knott, 2009]
	\|}		\|}

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	[Summerson, 1963] John Summerson. Heavenly Mansions: And Other Essays on Architecture. Norton, New York, 1963, p.37		[Summerson, 1963] John Summerson. Heavenly Mansions: And Other Essays on Architecture. Norton, New York, 1963, p.37

	[Joyce, 1997] ~~Davic~~ E.Joyce. Euclid Elements Book 6, Definition 3. Retrieved at: November 6, 2009.''[http://aleph0.clarku.edu/~djoyce/java/elements/toc.html Elements]''		[Joyce, 1997] David E.Joyce. Euclid Elements Book 6, Definition 3. Retrieved at: November 6, 2009.''[http://aleph0.clarku.edu/~djoyce/java/elements/toc.html Elements]''

	[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000		[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000

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	[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000		[Kaphammel, 2000] Günther Kahammel, Der goldene Schnitt, 1. Auflage, Braunschweig, 2000

	[~~Brooker~~] ~~Carolyn Brooker, The~~ Golden Ratio in ~~the Arts,~~ University of ~~Bath~~, http://~~students~~.~~bath~~.ac.uk/~~ma1caab~~/~~art~~.html		[Obara, 2000] Samuel Obara. Golden Ratio in Art and Architectue. The University of Georgia. Retrieved at: November 6, 2009.''[http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html]''

	[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		[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009.''[http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html]''

	~~[Batterywholesaler~~] ~~Batterywholesaler, Credit Cards, http://www.batterywholesaler.co.uk/battery_images~~

	~~[Samuel 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~~

	~~[Livio, 2002] Mario Livio, The golden ratio and aesthetics, November 2002, http://plus.maths.org/issue22/features/golden/~~

	~~[Samuel Obara]http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Obara/Emat6690/Golden%20Ratio/golden.html~~

	[[Category:Glossary]]		[[Category:Glossary]]

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	[[Image:~~card~~.jpg\|120px]]		[[Image:cards.jpg\|120px]]
	\|- align=center		\|- align=center
	\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.[Batterywholesaler]		\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.[Batterywholesaler]

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	\| style="border:1px solid;"\|		\| style="border:1px solid;"\|
	[[Image:~~card~~.jpg\|120px]]		[[Image:cards.jpg\|120px]]
	\|- align=center		\|- align=center
	\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.[Batterywholesaler]		\| In Mona-Liza painting you can find many golden rectangles that together create golden spiral.\|\| The space between the two heads is exacly Phi times the width of the heads.[Brooker]\|\| if you measure a credit-card, the outcome would be a perfect golden rectangle.[Batterywholesaler]

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	----		----
	===DEFINITION===		===DEFINITION===
	The '''golden ratio''' is an irrational mathematical constant with the approximated value of 1.6180339887. It is the relation between two quantities, where the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. [Wikipedia, ~~Golden Ratio, 2009~~]		The '''golden ratio''' is an irrational mathematical constant with the approximated value of 1.6180339887. It is the relation between two quantities, where the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. [Wikipedia, 2009a]

	This mathematical proportion is often recognized as 'aesthetically pleasing', thus it is often found in many different fields like mathematics, architecture, geometry, science, biology, nature, art and design.[Livio, 2002]		This mathematical proportion is often recognized as 'aesthetically pleasing', thus it is often found in many different fields like mathematics, architecture, geometry, science, biology, nature, art and design.[Livio, 2002]
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	===GEOMETRY AND MATHEMATICS===		===GEOMETRY AND MATHEMATICS===

	Fibonacci introduced a sequence of numbers, today called the '''Fibonacci Numbers''', which is often found in natural sciences. By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two [Wikipedia, ~~Golden Ratio, 2009~~] .		Fibonacci introduced a sequence of numbers, today called the '''Fibonacci Numbers''', which is often found in natural sciences. By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two [Wikipedia, 2009a] .

	1,2,3,5,8,13,21,34,55,89,144,233,377,....		1,2,3,5,8,13,21,34,55,89,144,233,377,....
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	[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html		[Knott, 2009] Ron Knott. Fibonacci Numbers and The Golden Section in Art, Architecture and Music. Retrieved at: November 6, 2009. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibInArt.html

	[Wikipedia, ~~2005a~~] Wikipedia.org, Golden Ratio, Created at: October 19, 2005. Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_ratio		[Wikipedia, 2009a] Wikipedia.org, Golden Ratio, Created at: October 19, 2005. Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_ratio

	[Wikipedia, ~~2005b~~] Wikipedia.org, Golden rectangle, Created at: Ocotober 24, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_rectangle		[Wikipedia, 2009b] Wikipedia.org, Golden rectangle, Created at: Ocotober 24, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Golden_rectangle

	[Wikipedia, ~~2005c~~] Wikipedia.org, Pentagram, Created at: 29 October, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Pentagram		[Wikipedia, 2009c] Wikipedia.org, Pentagram, Created at: 29 October, 2005, Retrieved at: November 6, 2009. http://en.wikipedia.org/wiki/Pentagram
	[[Category:Glossary]]		[[Category:Glossary]]