Discovering Geometry

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Discovering Geometry

• Inspiration is needed in
  geometry, just as much as in poetry.
  
  - Alksandr Pushkin

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Geometry in Nature
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World Culture Geometric Design
Islamic
Native American
Senegalese
Turkish 16th Century
Egyptian 15th Century
Roman 12th Century
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THE ARTS
Architecture
Cultures - Islamic
Tiger! Tiger! Burning bright In the
forests of the night What immortal hand or
eye Could frame thy fearful symmetry?
-William Blake
Poetry
Visual Arts
Tiger! Tiger! burning brigh / In the forests of
the night, / What immortal hand or eye / Could
frame thy fearful symmetry? William Blake quotet
Escher
Fashion Design
Durer
Commercial Art - Corporate Logos
Jhane Barnes
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DGG E EOO M E T R
Y D E
OO R A R T ?
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The beautiful has its place in mathematics for
here are the triumphs of the creative
imagination.
- W. K. White
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Escher makes us question reality. How can a
mirror tilted upward reflect a street seen
through a window on the opposite wall?
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Geometric Art

• The pure mathematical visual delight of
  lines, curves and surfaces.

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The things I want to express are so beautiful
and pure.
M.C. Escher 1898-1972
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Though this print appears to be quite realistic,
it represents an impossible structure. While
this imaginary construction exists on paper,the
lithograph Waterfall reminds us that nothing is
really as it seems.
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Eschers brain-teasing prints use interlocking
shapes, transforming creatures, and impossible
architectures to challenge the viewer's
perceptions of reality.
Are you really sure that a floor can't also be a
ceiling? - M. C. Escher
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Mighty is geometry joined with art, resistless.
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New Directions in Islamic Art
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Chapter O Objectives

• Discover geometry in nature, art and world
  cultures
• Discover the characteristics of reflectional and
  rotational symmetry
• Develop observational and visual thinking skills
• Create a variety of designs with compass and
  straightedge
• Encounter tesselations

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