In geometry, this uniform polyhedron compound is a composition of 5 cuboctahedra. It has icosahedral symmetry I<sub>h</sub>. It could also be called the anticosicosahedron.
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
where ÃÂ = (1+)/2 is the golden ratio (sometimes written ÃÂ).
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.