# An Infinitely Colorable Set of 3D Regions

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Suppose that if two regions touch, then they should have different colors. How many colors suffice? In the plane, four colors are sufficient. In 3D, the set of regions shown requires an infinite number of colors.

Contributed by: Jon Perry (March 2011)

Open content licensed under CC BY-NC-SA

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"An Infinitely Colorable Set of 3D Regions"

http://demonstrations.wolfram.com/AnInfinitelyColorableSetOf3DRegions/

Wolfram Demonstrations Project

Published: March 7 2011