The Platonic solids. In the following tables and formulas, a is the length of an edge, the dihedral angle at each edge, R the radius of the circumscribed sphere, r the radius of the inscribed sphere, V the volume, S the total area, v the total number of vertices, e the total number of edges, f the total number of faces, p the number of edges in a face, and q the number of edges meeting at a vertex.
Unauthorized duplication is forbidden.