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The Golden Ratio in Art and Architecture

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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 ... – PowerPoint PPT presentation

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Title: The Golden Ratio in Art and Architecture


1
The Golden Ratio inArt and Architecture
2
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
3
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
4
The Great Pyramid, Giza
Photo Courtesy of http//www.bbc.co.uk
5
The Great Pyramid Golden Ratio
Photo Courtesy of http//britton.disted.camosun.bc
.ca/goldslide/gold02.gif
6
Parthenon, Greece
Photo Courtesy of http//milan.milanovic.org/mat
h/english/golden/Golden_files/parthenonPhi.gif
7
U.N. BUILDING
Photo Courtesy of http//library.thinkquest.org/t
rio/TTQ05063/un.gif
8
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
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