Compound of five small cubicuboctahedra

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Compound of five small cubicuboctahedra
UC64-5 small cubicuboctahedra.png
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)

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


  • 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 .