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Compound of five truncated cubes

This uniform polyhedron compound is a composition of 5 truncated cubes, formed by truncating each of the cubes in the compound of 5 cubes. It is also called the truncated rhombihedron.

Cartesian coordinates

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

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

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

References

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