Compound of five small rhombihexahedra

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

Compound of five small rhombihexahedra
Type	Uniform compound
Index	UC63
Polyhedra	5 small rhombihexahedra
Faces	60 squares, 30 octagons
Edges	240
Vertices	120
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

3D model of a compound of five small rhombihexahedra

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.