Compound of two snub cubes
|Compound of two snub cubes|
|Polyhedra||2 snub cubes|
|Symmetry group||octahedral (Oh)|
|Subgroup restricting to one constituent||chiral octahedral (O)|
The vertex arrangement of this compound is shared by a convex nonuniform truncated cuboctahedron, having rectangular faces, alongside irregular hexagons and octagons, each alternating with two edge lengths.
- (±1, ±ξ, ±1/ξ)
where ξ is the real solution to
which can be written
or approximately 0.543689. ξ is the reciprocal of the tribonacci constant.
Equally, the tribonacci constant, t, just like the snub cube, can compute the coordinates as:
- (±1, ±t, ±1/)
This compound can be seen as the union of the two chiral alternations of a truncated cuboctahedron:
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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