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Compound of ten hexagonal prisms

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

(±, ±(τ<sup>−1</sup>−τ), ±(τ+τ<sup>−1</sup>))
(±2, ±τ<sup>−1</sup>, ±τ)
(±(1+), ±(1−τ), ±(1+τ<sup>−1</sup>))
(±(τ−τ<sup>−1</sup>), ±, ±(τ<sup>−1</sup>+τ))
(±(1−τ<sup>−1</sup>), ±(1−), ±(1+τ))

where τ = (1+)/2 is the golden ratio (sometimes written φ).

References

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