Compound of five small cubicuboctahedra

This uniform polyhedron compound is a composition of 5 small cubicuboctahedra, in the same vertex arrangement as the compound of 5 small rhombicuboctahedra.

Compound of five small cubicuboctahedra
Type	Uniform compound
Index	UC64
Polyhedra	5 small cubicuboctahedra
Faces	40 triangles, 30 squares, 30 octagons
Edges	240
Vertices	120
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

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.