- Compound of five cuboctahedra
-
Compound of five cuboctahedra 
Type Uniform compound Index UC59 Polyhedra 5 cuboctahedra Faces 40 triangles, 30 squares Edges 120 Vertices 60 Symmetry group icosahedral (Ih) Subgroup restricting to one constituent pyritohedral (Th) In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry Ih.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
- (±2, 0, ±2)
- (±τ, ±τ−1, ±(2τ−1))
- (±1, ±τ−2, ±τ2)
where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
- Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554.
This polyhedron-related article is a stub. You can help Wikipedia by expanding it.
