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This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic antiprisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
(±(τ+√τ−1), ±τ−1, ±(−1+√τ)) (±√τ−1, ±2, ±√τ) (±(−τ+√τ−1), ±τ−1, ±(1+√τ)) (±(−1+√τ−1), ±(−τ), ±(τ−1+√τ)) (±(1+√τ−1), ±(−τ), ±(−τ−1+√τ))with an even number of minuses in the '±' choices, where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
Compound of six pentagrammic antiprisms Wikipedia(Text) CC BY-SA