Compound of two great icosahedra

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

• VRML model: [1]

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