bgcolor=#e7dcc3 colspan=2 | Compound of five great dodecahedra | |
---|---|---|
align=center colspan=2 | ||
Type | Uniform compound | |
Index | UC49 | |
Polyhedra | 5 great dodecahedra | |
Faces | 60 pentagons | |
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 two small stellated dodecahedra, and the compound of five small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive.