Small sphenoverted hexacosidishecatonicosachoron

The small sphenoverted hexacosidishecatonicosachoron, or swavixady, is a nonconvex uniform polychoron that consists of 600 truncated tetrahedra, 120 great icosidodecahedra, and 120 small icosicosidodecahedra. 1 great icosidodecahedron, 2 truncated tetrahedra, and 2 small icosicosidodecahedra join at each vertex.

Vertex coordinates
Coordinates for the vertices of a small sphenoverted hexacosidishecatonicosachoron of edge length 1 are given by all permutations of: together with all even permutations of:
 * $$\left(0,\,0,\,±(1+\sqrt5),\,±\frac{\sqrt5-1}{2}\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{4},\,±\frac{1+3\sqrt5}{4},\,±\frac{1+3\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{2+\sqrt5}{2},\,±\frac{5-\sqrt5}{4},\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{3+\sqrt5}{4},\,±\frac{9+\sqrt5}{4},\,±\frac{5+3\sqrt5}{4}\right),$$
 * $$\left(0,\,±\frac{5+3\sqrt5}{4},\,±\frac{3\sqrt5-1}{4},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{5+\sqrt5}{4},\,±\frac32,\,±\frac{7+\sqrt5}{4}\right),$$
 * $$\left(±\frac{2+\sqrt5}{2},\,±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{3\sqrt5-1}{4}\right),$$
 * $$\left(±\frac{2+\sqrt5}{2},\,±1,\,±\frac{3-\sqrt5}{4},\,±\frac{7+\sqrt5}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac12,\,±\frac{3\sqrt5-1}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac32,\,±\frac{3-\sqrt5}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{5+3\sqrt5}{4},\,±\frac{5-\sqrt5}{4},\,±\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac12,\,±\frac{9+\sqrt5}{4},\,±1\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{\sqrt5-1}{4},\,±\frac{1+3\sqrt5}{4},\,±\frac{7+\sqrt5}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{2},\,±\frac12,\,±\frac{1+3\sqrt5}{4},\,±\frac{3-\sqrt5}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{2},\,±\frac12,\,±\frac{5-\sqrt5}{4},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(±\frac{3+\sqrt5}{2},\,±\frac{1+\sqrt5}{2},\,±\frac{\sqrt5-1}{2},\,±1\right),$$
 * $$\left(±\frac{5+3\sqrt5}{4},\,±1,\,±\frac{\sqrt5}{2},\,±\frac{3-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt5}{2},\,±\frac{9+\sqrt5}{4},\,±\frac{\sqrt5-1}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{4},\,±(\sqrt5-1),\,±\frac{3-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±3\frac{1+\sqrt5}{4},\,±\frac{1+3\sqrt5}{4},\,±1\right),$$
 * $$\left(±\frac{1+\sqrt5}{2},\,±\frac{5+\sqrt5}{4},\,±\frac{\sqrt5}{2},\,±\frac{1+3\sqrt5}{4}\right),$$
 * $$\left(±\frac{1+\sqrt5}{2},\,±\frac{\sqrt5-1}{4},\,±3\frac{1+\sqrt5}{4},\,±\frac32\right).$$

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