Stereographic Projection of Platonic Solids

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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

[more]

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.

[less]

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


Snapshots


Details

Reference

[1] J. Leys, E. Ghys, and A. Alvarez. "Dimensions." (Jul 17, 2012) www.dimensions-math.org/Dim_reg_E.htm.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send