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In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry Ih.
Cartesian coordinates
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
(±2, 0, ±2)(±τ, ±τ−1, ±(2τ−1))(±1, ±τ−2, ±τ2)where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
References
Compound of five cuboctahedra Wikipedia(Text) CC BY-SA