This uniform polyhedron compound is a composition of 10 truncated tetrahedra, formed by truncating each of the tetrahedra in the compound of 10 tetrahedra. It also results from composing the two enantiomers of the compound of 5 truncated tetrahedra. It could also be called a truncated icosicosahedron.
Cartesian coordinates for the vertices of this compound are all the even permutations of
where ÃÂ = (1+)/2 is the golden ratio (sometimes written ÃÂ).