| Compound of ten tetrahedra | |
|---|---|
| |
| Type | regular compound |
| Coxeter symbol | 2{5,3}[10{3,3}]2{3,5}[1] |
| Index | UC6, W25 |
| Elements (As a compound) |
10 tetrahedra: F = 40, E = 60, V = 20 |
| Dual compound | Self-dual |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | chiral tetrahedral (T) |
The compound of ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron or a compound. This compound was first described by Edmund Hess in 1876.
It can be seen as a faceting of a regular dodecahedron.
- ^ Regular polytopes, p.98