Compound of four octahedra
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| Compound of four octahedra | |
|---|---|
 |
|
| Type | Uniform compound |
| Index | UC12 |
| Convex hull | Nonuniform truncated cube |
| Polyhedra | 4 octahedra |
| Faces | 8+24 triangles |
| Edges | 48 |
| Vertices | 24 |
| Symmetry group | octahedral (Oh) |
| Subgroup restricting to one constituent | 3-fold antiprismatic (D3d) |
This uniform polyhedron compound is a symmetric arrangement of 4 octahedra, considered as triangular antiprisms. It can be constructed by superimposing four identical octahedra, and then rotating each by 60 degrees about a separate axis (that passes through the centres of two opposite octahedral faces).
[edit] Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the permutations of
- (±2, ±1, ±2)
[edit] References
- John Skilling, Uniform Compounds of Uniform Polyhedra, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 79, pp. 447-457, 1976.
