# A 2-pire Map

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The four-color map theorem states that any map can be colored with four colors so that no two neighboring regions share a color. For a proof that four colors are necessary, consider a tetrahedron. If the faces are numbered 1 to 4, any two of these faces touch each other.

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Contributed by: Ed Pegg Jr (March 2011)

Open content licensed under CC BY-NC-SA

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"A 2-pire Map"

http://demonstrations.wolfram.com/A2PireMap/

Wolfram Demonstrations Project

Published: March 7 2011