Compound of five rhombicuboctahedra

Compound of five rhombicuboctahedra
Type	Uniform compound
Index	UC62
Polyhedra	5 rhombicuboctahedra
Faces	40 triangles, 30+60 squares
Edges	240
Vertices	120
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

This uniform polyhedron compound is a composition of 5 rhombicuboctahedra, in the same vertex arrangement (i.e. sharing vertices with) the compound of 5 stellated truncated hexahedra.

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.