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Compound of five tetrahedra | |
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Type | Regular compound |
Coxeter symbol | {5,3}[5{3,3}] {3,5}[1] |
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) |
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.
It can be seen as a faceting of a regular dodecahedron.