| bgcolor=#e7dcc3 colspan=2 | Compound of five great icosahedra | |
|---|---|---|
| align=center colspan=2 | ||
| Type | Uniform compound | |
| Index | UC53 | |
| Polyhedra | 5 great icosahedra | |
| Faces | 40+60 Triangles | |
| Edges | 150 | |
| Vertices | 60 | |
| 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.