Stereographic Projection of Platonic Solids

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This Demonstration shows the stereographic projection of the five Platonic solids.


To understand stereographic projection, imagine that on top of the unit sphere there is a light and that the sphere is sitting on a plane. Any point on the surface of the sphere casts a shadow onto this plane, which is called the stereographic projection of the point. Now take a Platonic solid and blow up its edges until they lie on the sphere's surface. The stereographic projection of the Platonic solid is the shadow these lines cast onto the plane.


Contributed by: Emile Okada (July 2012)
(Mathematica Summer Camp 2012)
Open content licensed under CC BY-NC-SA




[1] J. Leys, E. Ghys, and A. Alvarez. "Dimensions." (Jul 17, 2012)

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