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The Golden Ratio in Art and Architecture. Pythagoras and the Golden Ratio.
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Pythagoras and the Golden Ratio • Pythagoras was especially interested in the golden section, and proved that it was the basis for the proportions of the human figure. He showed that the human body is built with each part in a definite golden proportion to all the other parts. • Pythagoras' discoveries of the proportions of the human figure had a tremendous effect on Greek art. Every part of their major buildings, down to the smallest detail of decoration, was constructed upon this proportion. http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm
The Golden Ratio • The Golden Ratio is 1.618033988749895... and referred to as Phi (ϕ) • Phi is the ratio of the line segments that result when a line is divided in one very special and unique way. • The ratio of the length of the entire line (A)to the length of larger line segment (B) is the same as • The ratio of the length of the larger line segment (B)to the length of the smaller line segment (C). • In other words, C:B = B:A http://www.goldennumber.net/neophite.htm
The Great Pyramid, Giza Photo Courtesy of: http://www.bbc.co.uk
The Great Pyramid: Golden Ratio Photo Courtesy of http://britton.disted.camosun.bc.ca/goldslide/gold02.gif
Parthenon, Greece Photo Courtesy of: http://milan.milanovic.org/math/english/golden/Golden_files/parthenonPhi.gif
U.N. BUILDING Photo Courtesy of: http://library.thinkquest.org/trio/TTQ05063/un.gif
Activities • Find more examples of the Golden Ratio in art and architecture. Post these to the “Golden Ratio” discussion board. • A golden rectangle has a short side of length 100. What is the length of the longer side? Show your work in the “Golden Ratio” discussion board. 100