Compound of five small rhombihexahedra

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)

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.

3D model of a compound of five small rhombihexahedra

References

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  • 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.