The 5 regular polyhedra
A regular polyhedron is a solid bounded by identical faces which are regular
polygons.
It is possibile to build only 5 regular polyhedra:
the cube (6 squared faces),
the tetrahedron (4 triangular faces),
the octahedron (8 triangular faces),
the dodecahedron (12 pentagonal faces) and
the icosahedron (20 triangular faces).
A regular polyhedron is included into another if the centers are the same and all the
vertices of the first polyhedron lie on the surface of the second one.
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