Compound of five nonconvex great rhombicuboctahedra
TypeUniform compound
IndexUC67
Polyhedra5 nonconvex great rhombicuboctahedra
Faces40 triangles, 30+60 squares
Edges240
Vertices120
Symmetry groupIcosahedral (Ih)
Subgroup restricting to one constituentPyritohedral (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, doi:10.1017/S0305004100052440, MR 0397554.


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