Compound of twenty octahedra
| Compound of twenty octahedra | |
|---|---|
| Type | Uniform compound |
| Index | UC14 |
| Polyhedra | 20 octahedra |
| Faces | 40+120 triangles |
| Edges | 240 |
| Vertices | 60 |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | 6-fold improper rotation (S6) |
The compound of twenty octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 20 octahedra (considered as triangular antiprisms). It is a special case of the compound of 20 octahedra with rotational freedom, in which pairs of octahedral vertices coincide.