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Compound of five truncated tetrahedra : ウィキペディア英語版 | Compound of five truncated tetrahedra
This uniform polyhedron compound is a composition of 5 truncated tetrahedra, formed by truncating each of the tetrahedra in the compound of 5 tetrahedra. A far-enough truncation creates the Compound of five octahedra. Its convex hull is a nonuniform Snub dodecahedron. == Cartesian coordinates == Cartesian coordinates for the vertices of this compound are all the cyclic permutations of : (±1, ±1, ±3) : (±τ−1, ±(−τ−2), ±2τ) : (±τ, ±(−2τ−1), ±τ2) : (±τ2, ±(−τ−2), ±2) : (±(2τ−1), ±1, ±(2τ−1)) with an even number of minuses in the choices for '±', where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
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