Compound of five great cubicuboctahedra

Compound of five great cubicuboctahedra
Type	Uniform compound
Index	UC65
Polyhedra	5 great cubicuboctahedra
Faces	40 triangles, 30 squares, 30 octagrams
Edges	240
Vertices	120
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

This uniform polyhedron compound is a composition of 5 great cubicuboctahedra, in the same arrangement as the compound of 5 truncated cubes.

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 .