Compound of ten tetrahedra | |
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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.