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Compound of five octahedra
Polyhedral compound / From Wikipedia, the free encyclopedia
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The compound of five octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund Hess in 1876. It is unique among the regular compounds for not having a regular convex hull.
Compound of five octahedra | |
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![]() (see here for a 3D model) | |
Type | Regular compound |
Index | UC17, W23 |
Coxeter symbol | [5{3,4}]2{3,5}[1] |
Elements (As a compound) | 5 octahedra: F = 40, E = 60, V = 30 |
Dual compound | Compound of five cubes |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | pyritohedral (Th) |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Small-icosiicosahedron-in-icosidodecahedron.png/640px-Small-icosiicosahedron-in-icosidodecahedron.png)