Compound of five cuboctahedra

In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry I_h. It could also be called the anticosicosahedron.

Cartesian coordinates

Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
where τ = /2 is the golden ratio.

Construction

The compound of 5 cuboctahedra could be made by the rectification of the compound of five cubes or compound of five octahedra. It could also be formed by the expansion of the compound of five or ten tetrahedra.