Great omnifacetopental trishecatonicosachoron

The great omnifacetopental triakishecatonicosachoron, or gofapathi, is a nonconvex uniform polychoron consisting of 120 icosidodecahedra, 120 truncated great dodecahedra, and 120 small icosicosidodecahedra. Five icosidodecahedra, 10 truncated great dodecahedra, and 10 small icosicosidodecahedra form each of its vertices.

Vertex coordinates
The vertices of a great omnifacetopental triakishecatonicosachoron of edge length 1 are given by all permutations of: along with even permutations of:
 * (0, 0, ±1, ±(1+$\sqrt{5}$)/2),
 * (±($\sqrt{5}$–1)/4, ±($\sqrt{(5+√5)/2}$–1)/4, ±(3+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4),
 * (0, ±($\sqrt{5}$–1)/4, ±1/2, ±(5+$\sqrt{5}$)/4),
 * (0, ±(1+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/4, ±$\sqrt{5}$/2),
 * (±($\sqrt{5}$–1)/4, ±1/2, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{5}$)/4),
 * (±1/2, ±(1+$\sqrt{5}$)/4, ±1, ±(3+$\sqrt{5}$)/4).