Compound of five tetrahedra
The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron. It was first described by Edmund Hess in 1876.
| Compound of five tetrahedra | |
|---|---|
| Type | Regular compound |
| Coxeter symbol | {5,3}[5{3,3}] {3,5} |
| Index | UC5, W24 |
| Elements (As a compound) | 5 tetrahedra: F = 20, E = 30, V = 20 |
| Dual compound | Self-dual |
| Symmetry group | chiral icosahedral (I) |
| Subgroup restricting to one constituent | chiral tetrahedral (T) |
It can be seen as a faceting of a regular dodecahedron.
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