The Golden Ratio in Art and Architecture

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The Golden Ratio inArt and Architecture
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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/jbgo
ldslide.htm
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The Golden Ratio

• The Golden Ratio is 1.618033988749895... and
  referred to as Phi (?)
• 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, CB BA

http//www.goldennumber.net/neophite.htm
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The Great Pyramid, Giza
Photo Courtesy of http//www.bbc.co.uk
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The Great Pyramid Golden Ratio
Photo Courtesy of http//britton.disted.camosun.bc
.ca/goldslide/gold02.gif
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Parthenon, Greece
Photo Courtesy of http//milan.milanovic.org/mat
h/english/golden/Golden_files/parthenonPhi.gif
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U.N. BUILDING
Photo Courtesy of http//library.thinkquest.org/t
rio/TTQ05063/un.gif
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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.

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