Compound of five stellated truncated hexahedra

This uniform polyhedron compound is a composition of 5 stellated truncated hexahedra, formed by star-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−$\sqrt{2}$))
 * (±φ, ±(φ−1−φ−1$\sqrt{2}$), ±(2φ−1−φ$\sqrt{2}$))
 * (±1, ±(φ−2+φ−1$\sqrt{2}$), ±(φ2−φ$\sqrt{2}$))
 * (±(1−$\sqrt{2}$), ±(−φ−2+$\sqrt{2}$), ±(φ2−$\sqrt{2}$))
 * (±(φ−φ$\sqrt{2}$), ±(−φ−1), ±(2φ−1−φ−1$\sqrt{2}$))

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