Minimal Coloring of Platonic Solids

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

A minimal coloring of a polyhedron is a coloring of its faces so that no two faces meeting along an edge have the same color, and the number of colors used is minimal. This Demonstration shows minimal colorings of the five Platonic solids that you can view either in 3D or as a 2D net. Sometimes the orientation reverses when blue and yellow faces are swapped. The icosahedron has a red and a blue triangle that can be swapped (see snapshots 2 and 3).

Contributed by: Jenna Pew and Theodore S. Erickson  (July 2014)
(Wheeling Jesuit University)
Open content licensed under CC BY-NC-SA


Snapshots


Details

detailSectionParagraph


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