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Compound of ten tetrahedra
From Wikipedia, the free encyclopedia
| Compound of ten tetrahedra | |
|---|---|
 |
|
| Type | stellation and compound |
| Polyhedra | 10 tetrahedra |
| Faces | 40 triangles |
| Edges | 60 |
| Vertices | 20 |
| Dual | Self-dual |
| Symmetry group | icosahedral (Ih) |
This polyhedron can be seen as either a polyhedral stellation or a compound. This compound was first described by Edmund Hess in 1876.
Contents |
It can also be seen as the compound of ten tetrahedra with icosahedral symmetry (Ih). It is one of five regular compounds constructed from identical Platonic solids.
It shares the same vertex arrangement as a dodecahedron.
The compound of five tetrahedra represents two chiral halves of this compound.
This polyhedron is a stellation of the icosahedron, and given as Wenninger model index 25.
The stellation facets for construction are:
- Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-52-109859-9.
