Compound of five octahemioctahedra

Compound of five octahemioctahedra
Compound of five octahemioctahedra
UC61-5 octahemioctahedra.png
Type Uniform compound
Index UC61
Polyhedra 5 octahemioctahedra
Faces 40 triangles, 20 hexagons
Edges 120
Vertices 60
Symmetry group icosahedral (Ih)
Subgroup restricting to one constituent pyritohedral (Th)

In geometry, this uniform polyhedron compound is a composition of 5 octahemioctahedra, in the same vertex arrangement as in the compound of 5 cuboctahedra.

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .