Compound of five great icosahedra

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Compound of five great icosahedra
UC53-5 great icosahedra.png
Type Uniform compound
IndexUC53
Polyhedra5 great icosahedra
Faces40+60 Triangles
Edges150
Vertices60
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.

Under the action of the symmetry group, the triangles in this compound decompose into two orbits: 40 of the triangles lie in coplanar pairs in icosahedral planes, while the other 60 lie in unique planes.

References