Compound of two icosahedra
|Compound of two icosahedra|
|Symmetry group||octahedral (Oh)|
|Subgroup restricting to one constituent||pyritohedral (Th)|
Nonuniform and uniform truncated octahedra. The first shares its vertex arrangement with this compound.
Cartesian coordinates for the vertices of this compound are all the permutations of
- (±1, 0, ±τ)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
Compound of two dodecahedra
The dual compound has two dodecahedra as pyritohedrons in dual positions:
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79 (3): 447–457, doi:10.1017/S0305004100052440, MR 0397554.
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