Polar facetopental hexacosidishecatonicosachoron

The polar facetopental hecatonicosachoron, or lifpixady, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 600 truncated tetrahedra. Five dodecadodecahedra, 10 small ditrigonal dodecicosidodecahedra, and 10 truncated tetrahedra meet each vertex.

Vertex coordinates
The vertices of a polar facetopental hecatonicosachoron 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).