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Compound of five tetrahedra
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| Compound of five tetrahedra | |
|---|---|
| |
| 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.
- ^ Coxeter 1973, p. 98.
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Durchdringung von fünf Tetraedern German Kombinaĵo de 5 kvaredroj EO Compuesto de cinco tetraedros Spanish Cinque tetraedri nel dodecaedro Italian Composto de cinco tetraedros Portuguese Compus de cinci tetraedre Romanian Соединение пяти тетраэдров Russian Sestav petih tetraedrov SL З'єднання п'яти тетраедрів Ukrainian 五複合正四面體 Chinese
