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This uniform polyhedron compound is a symmetric arrangement of 6 decagonal 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−1/√5), ±2τ, ±√(τ/√5))(±(√(τ−1/√5)−τ2), ±1, ±(√(τ/√5)+τ))(±(√(τ−1/√5)−τ), ±τ2, ±(√(τ/√5)+1))(±(√(τ−1/√5)+τ), ±τ2, ±(√(τ/√5)−1))(±(√(τ−1/√5)+τ2), ±1, ±(√(τ/√5)−τ))where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
Compound of six decagonal prisms Wikipedia(Text) CC BY-SA