Compound of five great icosahedraTypeUniform compoundIndexUC53Polyhedra5 great icosahedraFaces40+60 TrianglesEdges150Vertices60Symmetry groupicosahedral (Ih)Subgroup restricting to one constituentpyritohedral (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.
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