Stereographic Projection (Geometry and the Imagination)
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http://geom.math.uiuc.edu/docs/education/institute91/handouts/node33.html  


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 (912), College 
Languages:  English 
Resource Types:  Lesson Plans and Activities 
Math Topics:  HigherDimensional Geometry, Elliptic & Spherical Geometry 
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