Compound of five cuboctahedra

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+$\sqrt{5}$)/2 is the golden ratio (sometimes written φ).