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Stereographic Projection (Geometry and the Imagination)

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Visit this site: http://geom.math.uiuc.edu/docs/education/institute91/handouts/node33.html

Author:Conway, Doyle, Gilman, Thurston; The Geometry Center
Description: Let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat piece of paper or a plane. Whenever one projects a higher dimensional object onto a lower dimensional object, some type of distortion must occur. There are a number of different ways to project and each projection preserves some things and distorts others. An algebraic and a geometric proof that stereographic projection preserves circles and angles.

Levels: High School (9-12), College
Languages: English
Resource Types: Lesson Plans and Activities
Math Topics: Higher-Dimensional Geometry, Elliptic & Spherical Geometry

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