Compound of five great icosahedra
|Compound of five great icosahedra|
|Polyhedra||5 great icosahedra|
|Symmetry group||icosahedral (Ih)|
|Subgroup restricting to one constituent||pyritohedral (Th)|
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.
- 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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