Platonic Solids

53 52 archImedean SymmetrIeS The diagrams below show the rotation symmetries of the Archimedean Solids and the two Rhombic Archimedean Duals. Of the Platonic Solids only the cube can fill space with copies of itself and leave no gaps. The only other purely Platonic space filling combines tetrahedra and octahedra. One Archimedean Solid, the truncated octahedron, and one Archimedean Dual, the rhombic dodecahedron, are also space filling polyhedra. threedImenSIonal teSSellatIonS