Coloring Polyhedra with Four Colors

This Demonstration provides exercises of coloring polyhedra with four colors. A proper coloring of a polyhedron

P

colors the faces of

P

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).

Antiprisms can be colored by two colors.

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