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

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

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Page 1: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

Discovering Geometry

Inspiration is needed in

geometry, just as much as in

poetry. - Alksandr

Pushkin

Page 2: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

Geometry in Nature

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Page 3: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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Native American

Roman 12th Century

Turkish 16th Century Egyptian 15th Century

Islamic

Senegalese

World Culture Geometric Design

Page 4: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

THE ARTS

Jhane Barnes

Fashion DesignCommercial Art -

Corporate Logos

Visual Arts

Escher

Durer

Cultures - Islamic

Architecture

Poetry

Tiger! Tiger! Burning

bright

In the forests of the night

What immortal hand or eye

Could frame thy fearful symmetry?

-William Blake

Page 5: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

DGG

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Page 6: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

The beautiful has its place in mathematics for here are the triumphs of the creative imagination. - W. K. White

Page 7: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

Escher makes us question reality.

How can a mirror tilted upward reflect a street seen through a window on the opposite wall?

E

Page 8: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

Geometric Art

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

Page 9: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 10: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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M.C. Escher 1898-1972

The things I want to express are so beautiful and pure.

Page 11: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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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.

Page 12: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

Escher’s brain-teasing prints use interlocking shapes, transforming creatures, and impossible architectures to challenge the viewer's perceptions of reality.

Are you really sure that afloor can't also be a ceiling? - M. C. Escher

Page 13: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 14: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 15: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 16: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

 EuripedesMighty is geometry; joined with art, resistless.

Page 17: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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New Directions in Islamic Art

Page 18: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 19: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 20: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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

Page 21: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin
Page 22: Discovering Geometry Inspiration is needed in geometry, just as much as in poetry. - Alksandr Pushkin

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