Compound of four octahedra
|Compound of four octahedra|
|Convex hull||Nonuniform truncated cube|
|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).
Cartesian coordinates for the vertices of this compound are all the permutations of
- (±2, ±1, ±2)
- Compound of three octahedra
- Compound of five octahedra
- Compound of ten octahedra
- Compound of twenty octahedra
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (03): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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