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−√2), ±√2, ±(2−√2)) (±φ, ±(φ−1−φ−1√2), ±(2φ−1−φ√2)) (±1, ±(φ−2+φ−1√2), ±(φ2−φ√2)) (±(1−√2), ±(−φ−2+√2), ±(φ2−√2)) (±(φ−φ√2), ±(−φ−1), ±(2φ−1−φ−1√2))where φ = (1+√5)/2 is the golden ratio.
References
Compound of five stellated truncated hexahedra Wikipedia(Text) CC BY-SA