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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).
References
Compound of five truncated tetrahedra Wikipedia(Text) CC BY-SA