Compound of five small cubicuboctahedra
{{Short description|Polyhedral compound}}
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!bgcolor=#e7dcc3 colspan=2|Compound of five small cubicuboctahedra | |
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| bgcolor=#e7dcc3|Type | Uniform compound |
| bgcolor=#e7dcc3|Index | UC64 |
| bgcolor=#e7dcc3|Polyhedra | 5 small cubicuboctahedra |
| bgcolor=#e7dcc3|Faces | 40 triangles, 30 squares, 30 octagons |
| bgcolor=#e7dcc3|Edges | 240 |
| bgcolor=#e7dcc3|Vertices | 120 |
| bgcolor=#e7dcc3|Symmetry group | icosahedral (Ih) |
| bgcolor=#e7dcc3|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.
References
- {{citation|first=John|last=Skilling|title=Uniform Compounds of Uniform Polyhedra|journal=Mathematical Proceedings of the Cambridge Philosophical Society|volume=79|pages=447–457|year=1976|doi=10.1017/S0305004100052440|mr=0397554|issue=3}}.
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