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Compound of five truncated cubes

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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.

Cartesian coordinates

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

(±(2+√2), ±√2, ±(2+√2))(±τ, ±(τ−1−1√2), ±(2τ−1+τ√2))(±1, ±(τ−2−τ−1√2), ±(τ2+τ√2))(±(1+√2), ±(−τ−2−√2), ±(τ2+√2))(±(τ+τ√2), ±(−τ−1), ±(2τ−1+τ−1√2))

where τ = (1+√5)/2 is the golden ratio (sometimes written φ).

References

Compound of five truncated cubes Wikipedia


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