Pyritohedron

In geometry, a pyritohedron is an irregular dodecahedron with pyritohedral (T_h) symmetry. Like the regular dodecahedron, it has twelve identical pentagonal faces, with three meeting in each of the 20 vertices. However, the pentagons are not regular, and the structure has no fivefold symmetry axes. Its 30 edges are divided into two sets - containing 24 and 6 edges of the same length.