other 12-fold set, may be mapped onto a wider variety of convex polyhedra of greater symmetry (vertices: truncated tetrahedron , cuboctahedron , icosahedron ; edges: cube , octahedron ; faces: dodecahedron , ) as well as non-convex forms (edges: tetrahemihexahedron ; vertices: cubohemioctahedron , octahemioctahedron , great dodecahedron ; faces: octahemioctahedron