Compound of five nonconvex great rhombicuboctahedra

Compound of five nonconvex great rhombicuboctahedra
Type	Uniform compound
Index	UC67
Polyhedra	5 nonconvex great 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 nonconvex great rhombicuboctahedra, in the same arrangement (i.e. sharing vertices with) 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, Bibcode:1976MPCPS..79..447S, doi:10.1017/S0305004100052440, MR   0397554 .