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This uniform polyhedron compound is a symmetric arrangement of 6 decagrammic prisms, 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/√5), ±2τ−1, ±√(τ−1/√5))(±(√(τ/√5)+τ−2), ±1, ±(√(τ−1/√5)−τ−1))(±(√(τ/√5)−τ−1), ±τ−2, ±(√(τ−1/√5)+1))(±(√(τ/√5)+τ−1), ±τ−2, ±(√(τ−1/√5)−1))(±(√(τ/√5)−τ−2), ±1, ±(√(τ−1/√5)+τ−1))where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
Compound of six decagrammic prisms Wikipedia(Text) CC BY-SA