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Compound of five stellated truncated hexahedra

This uniform polyhedron compound is a composition of 5 stellated truncated hexahedra, formed by star-truncating each of the cubes in the compound of 5 cubes.

Cartesian coordinates

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of

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

where φ = (1+)/2 is the golden ratio.

References

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