Small sphenoverted ditrigonal trishecatonicosachoron

The small sphenoverted ditrigonal trishecatonicosachoron, or swav ditathi, is a nonconvex uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra, 120 icosidodecahedra, and 120 great ditrigonal dodecicosidodecahedra. 1 icosidodecahedron, 2 quasitruncated small stellated dodecahedra, and 2 great ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates
Coordinates for the vertices of a small sphenoverted ditrigonal trishecatonicosachoron of edge length 1 are given by all permutations of: together with all even permutations of:
 * $$\left(0,\,0,\,±\frac{1+\sqrt5}{2},\,±2\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac{3-\sqrt5}{4},\,±\frac{1+\sqrt5}{4},\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac{3-\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,±1,\,±\frac{1+\sqrt5}{2},\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{1+\sqrt5}{4},\,±\frac{3\sqrt5-1}{4},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{3-\sqrt5}{4},\,±\frac{7+\sqrt5}{4},\,±\frac{\sqrt5}{2}\right),$$
 * $$\left(0,\,±\frac{\sqrt5-1}{4},\,±\frac{2+\sqrt5}{2},\,±\frac{3\sqrt5-1}{4}\right),$$
 * $$\left(0,\,±\frac12,\,±3\frac{1+\sqrt5}{4},\,±\frac{5-\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}{4},\,±\frac{1+3\sqrt5}{4},\,±\frac32\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac12,\,±\frac{1+3\sqrt5}{4},\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac12,\,±\frac{7+\sqrt5}{4},\,±1\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac{\sqrt5-1}{2},\,±\frac{2+\sqrt5}{2},\,±\frac{3+\sqrt5}{4}\right),$$
 * $$\left(±\frac{3-\sqrt5}{4},\,±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac32\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±\frac12,\,±\frac{\sqrt5-1}{2},\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±1,\,±\frac{5+\sqrt5}{4},\,±\frac32\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{2},\,±\frac{7+\sqrt5}{4},\,±\frac{1+\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{5-\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt5}{4},\,±2,\,±\frac{3+\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{3\sqrt5-1}{4},\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,±\frac{\sqrt5}{2},\,±\frac{5+\sqrt5}{4},\,±\frac{3+\sqrt5}{4}\right),$$
 * $$\left(±\frac{5-\sqrt5}{4},\,±\frac{1+\sqrt5}{4},\,±\frac{2+\sqrt5}{2},\,±1\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±1,\,±\frac{\sqrt5}{2},\,±\frac{1+3\sqrt5}{4}\right).$$

Related polychora
The small sphenoverted ditrigonal trishecatonicosachoron is the colonel of a regiment of 7 members. Its other members include the great retrosphenoverted trishecatonicosachoron, small hecatonicosidishecatonicosachoron, small retrotrishecatonicosachoron, small small dishecatonicosachoron, dishecatonicosintercepted ditrigonal dishecatonicosachoron, and small hecatonicosintercepted trishecatonicosachoron.