Stereographic Projection (Geometry and the Imagination)
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|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|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|
|Resource Types:||Lesson Plans and Activities|
|Math Topics:||Higher-Dimensional Geometry, Elliptic & Spherical Geometry|
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