The Platonic Solids,The five perfect regular polyhedra each is composed
of the same regular polygons and each has the same number of faces meeting
at each point. They are the icosahedron ,the dodecahedron, the cube, the
octahedron and the tetrahedron.
The Catalan Solidsare a transformation of the Archimedians . Each
point in the Archimedian is represented by a face which has an edge for
each of the faces around the original point.