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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The first color selected in a column is the one that applies.

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Contributed by: Izidor Hafner (November 2014)
Open content licensed under CC BY-NC-SA


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