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This uniform polyhedron compound is a symmetric arrangement of 10 hexagonal prisms, aligned with the axes of three-fold rotational symmetry of an icosahedron.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
(±√3, ±(τ−1−τ√3), ±(τ+τ−1√3)) (±2√3, ±τ−1, ±τ) (±(1+√3), ±(1−τ√3), ±(1+τ−1√3)) (±(τ−τ−1√3), ±√3, ±(τ−1+τ√3)) (±(1−τ−1√3), ±(1−√3), ±(1+τ√3))where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
Compound of ten hexagonal prisms Wikipedia(Text) CC BY-SA