Platonic Solids using Four Color Theorem (May 23 - 26)

We explored the five Platonic Solids discovered by Plato in 400 BC.  Each of these polyhedra, the Tetrahedron, Hexahedron, Octahedron, Dodecahedron, and Icosahedron, have congruent regular faces. They are the only polyhedra known that have vertices that are spaced equidistant from each other if inscribed in a sphere.

Incidentally, certain math foundations are offering $1 million to the mathematician who discovers a sixth such solid.

We built these solids using the rules of coloring maps: no adjacent edges may be the same color.

The children should use the attached sheets to create their own solids and maybe discover the sixth Platonic.