Small intercepted invertipental trishecatonicosachoron

The small intercepted invertipental trishecatonicosachoron, or snipathi, is a nonconvex uniform polychoron composed of 120 great icosahedra, 120 dodecadodecahedra, and 120 small icosicosidodecahedra. Two great icosahedra, 5 dodecadodecahedra, and 10 small icosicosidodecahedra meet each vertex.

It is superficially identical to the small invertipental trishecatonicosachoron, differing only internally.

Vertex coordinates
The vertices of a small intercepted invertipental trishecatonicosachoron 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).