Compound of five truncated cubes

This uniform polyhedron compound is a composition of 5 truncated cubes, formed by truncating each of the cubes in the compound of 5 cubes.

Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of


 * (±(2+$\sqrt{2}$), ±$\sqrt{2}$, ±(2+$\sqrt{2}$))
 * (±τ, ±(τ−1+τ−1$\sqrt{2}$), ±(2τ−1+τ$\sqrt{2}$))
 * (±1, ±(τ−2−τ−1$\sqrt{2}$), ±(τ2+τ$\sqrt{2}$))
 * (±(1+$\sqrt{2}$), ±(−τ−2−$\sqrt{2}$), ±(τ2+$\sqrt{2}$))
 * (±(τ+τ$\sqrt{2}$), ±(−τ−1), ±(2τ−1+τ−1$\sqrt{2}$))

where τ = (1+$\sqrt{5}$)/2 is the golden ratio (sometimes written φ).