# Coloring Polyhedra Given by Map Projections

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This Demonstration provides exercises of coloring polyhedra given by map projections using four colors. A proper coloring of a polyhedron colors the faces of so that no two faces that meet along an edge have the same color. According to the four-color theorem, four colors suffice for a planar map or a simply connected polyhedron (one where any closed path on the surface can be contracted to a point).

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Contributed by: Izidor Hafner (November 2014)

Open content licensed under CC BY-NC-SA

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"Coloring Polyhedra Given by Map Projections"

http://demonstrations.wolfram.com/ColoringPolyhedraGivenByMapProjections/

Wolfram Demonstrations Project

Published: November 10 2014