Compound of five great icosahedra
Compound of five great icosahedra | |
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Type | Uniform compound |
Index | UC53 |
Polyhedra | 5 great icosahedra |
Faces | 40+60 Triangles |
Edges | 150 |
Vertices | 60 |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | pyritohedral (Th) |
This uniform polyhedron compound is a composition of 5 great icosahedra, in the same arrangement as in the compound of 5 icosahedra.
The triangles in this compound decompose into two orbits under action of the symmetry group: 40 of the triangles lie in coplanar pairs in icosahedral planes, while the other 60 lie in unique planes.
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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