Truncated small ditrigonary hexacosihecatonicosachoron

The truncated small ditrigonary hexacosihecatonicosachoron, or tissidtixhi, is a nonconvex uniform polychoron that consists of 600 truncated tetrahedra, 120 small ditrigonary icosidodecahedra, and 120 truncated great icosahedra. 1 small ditrigonary icosidodecahedron, 3 truncated great icosahedra, and 3 truncated tetrahedra join at each vertex. As the name suggests, it can be obtained by truncating the small ditrigonary hexacosihecatonicosachoron.

Vertex coordinates
The vertices of a truncated small ditrigonary hexacosihecatonicosachoron of edge length 1 are all permutations of: along with the even permutations of:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac52\right),$$
 * $$\left(±1,\,±1,\,±1,\,±2\right),$$
 * $$\left(±\frac12,\,±\frac32,\,±\frac32,\,±\frac32\right),$$
 * $$\left(0,\,±\frac{\sqrt5-2}{2},\,±\frac{1+3\sqrt5}{4},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{\sqrt5-1}{4},\,±\frac{1+\sqrt5}{4},\,±\frac52\right),$$
 * $$\left(0,\,±\frac12,\,±3\frac{\sqrt5-1}{4},\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{\sqrt5-1}{2},\,±\frac{1+\sqrt5}{2},\,±2\right),$$
 * $$\left(0,\,±\frac{5-\sqrt5}{4},\,±\frac{3\sqrt5-1}{4},\,±\frac{2+\sqrt5}{2}\right),$$
 * $$\left(±\frac{\sqrt5-2}{2},\,±\frac{\sqrt5-1}{4},\,±1,\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-2}{2},\,±\frac12,\,±\frac32,\,±\frac{2+\sqrt5}{2}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±\frac{3\sqrt5-1}{4},\,±\frac{1+\sqrt5}{2},\,±\frac32\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{2},\,±3\frac{1+\sqrt5}{4},\,±\frac{5-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±3\frac{\sqrt5-1}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±1,\,±\frac{3\sqrt5-1}{4},\,±\frac{1+3\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,±\frac{1+\sqrt5}{4},\,±\frac32,\,±\frac{1+3\sqrt5}{4}\right),$$
 * $$\left(±\frac{5-\sqrt5}{4},\,±1,\,±\frac32,\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±3\frac{\sqrt5-1}{4},\,±\frac{2+\sqrt5}{2},\,±1\right),$$

Related polychora
The truncated small ditrigonary hexacosihecatonicosachoron is the colonel of a regiment that also includes the truncated ditrigonary dishecatonicosachoron and the truncated great ditrigonary hexacosihecatonicosachoron. This regiment also includes the truncated dodecahedronary hexacosichoron, a compound of 25 truncated icositetrachora.