| bgcolor=#e7dcc3 colspan=2 | Compound of two great icosahedra | |
|---|---|---|
| align=center colspan=2 | ||
| 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) |
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.
The great icosahedron, as a uniform retrosnub tetrahedron, is similar to these snub-pair compounds: compound of two icosahedra, compound of two snub cubes and compound of two snub dodecahedra.