- Compound of two great icosahedra
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Compound of two great icosahedra Type Uniform compound Index UC52 Polyhedra 2 great icosahedra Faces 16+24 triangles Edges 60 Vertices 24 Symmetry group octahedral (Oh) Subgroup restricting to one constituent pyritohedral (Th) This uniform polyhedron compound is a composition of 2 great icosahedra, in the same arrangement as in the compound of 2 icosahedra.
The triangles in this compound decompose into two orbits under action of the symmetry group: 16 of the triangles lie in coplanar pairs in octahedral planes, while the other 24 lie in unique planes.
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554.
External links
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