Английская Википедия:Compound of five stellated truncated hexahedra
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| Compound of five stellated truncated hexahedra | |
|---|---|
| Файл:UC58-5 quasitruncated hexahedra.png | |
| Type | Uniform compound |
| Index | UC58 |
| Polyhedra | 5 stellated truncated hexahedra |
| Faces | 40 triangles, 30 octagrams |
| Edges | 180 |
| Vertices | 120 |
| Symmetry group | icosahedral (Ih) |
| Subgroup restricting to one constituent | pyritohedral (Th) |
This uniform polyhedron compound is a composition of 5 stellated truncated hexahedra, formed by star-truncating each of the cubes in the compound of 5 cubes.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
- (±(2−Шаблон:Radic), ±Шаблон:Radic, ±(2−Шаблон:Radic))
- (±φ, ±(φ−1−φ−1Шаблон:Radic), ±(2φ−1−φШаблон:Radic))
- (±1, ±(φ−2+φ−1Шаблон:Radic), ±(φ2−φШаблон:Radic))
- (±(1−Шаблон:Radic), ±(−φ−2+Шаблон:Radic), ±(φ2−Шаблон:Radic))
- (±(φ−φШаблон:Radic), ±(−φ−1), ±(2φ−1−φ−1Шаблон:Radic))
where φ = (1+Шаблон:Radic)/2 is the golden ratio.
References
