| bgcolor=#e7dcc3 colspan=2 | Compound of five small stellated dodecahedra | |
|---|---|---|
| align=center colspan=2 | ||
| Type | Uniform compound | |
| Index | UC51 | |
| Polyhedra | 5 small stellated dodecahedra | |
| Faces | 60 pentagrams | |
| Edges | 150 | |
| Vertices | 60 | |
| Symmetry group | icosahedral (Ih) | |
| Subgroup restricting to one constituent | pyritohedral (Th) |
It is one of only five polyhedral compounds (along with the compound of six tetrahedra, the compound of two great dodecahedra, the compound of five great dodecahedra, and the compound of two small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive.