Compound of ten tetrahedra
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.
| Compound of ten tetrahedra | |
|---|---|
| Type | regular compound |
| Coxeter symbol | 2{5,3}[10{3,3}]2{3,5} |
| 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) |
It can be seen as a faceting of a regular dodecahedron.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.