Ditrigonary hexacosidishecatonicosachoron

The ditrigonary hexacosidishecatonicosichoron, or dittixdy, is a nonconvex uniform polychoron that consists of 600 regular octahedra, 120 great icosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. 3 octahedra, 120 great icosidodecahedra, and 6 small ditrigonal dodecicosidodecahedra meet each of its 1200 vertices.

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