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

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Presentation transcript:

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

Geometry in Nature

Native American Roman 12th Century Turkish 16th Century Egyptian 15th Century Islamic Senegalese World Culture Geometric Design

THE ARTS Jhane Barnes Fashion Design Commercial Art - Corporate Logos Visual Arts Escher Durer Cultures - Islamic Architecture Poetry Tiger! Tiger! burning brigh / In the forests of the night, / What immortal hand or eye / Could frame thy fearful symmetry?” William Blake quotet Tiger! Tiger! Burning bright In the forests of the night What immortal hand or eye Could frame thy fearful symmetry? -William Blake

DGG E EOO M E T R Y D E O OORART?OORART?

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

Escher makes us question reality. How can a mirror tilted upward reflect a street seen through a window on the opposite wall? E

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

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

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.

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 a floor can't also be a ceiling? - M. C. Escher

Euripedes Mighty is geometry; joined with art, resistless.

New Directions in Islamic Art

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