Truncated great faceted hexacosichoron

The truncated great faceted hexacosichoron, or tigfix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra and 120 truncated great icosahedra. One small stellated dodecahedron and five truncated great icosahedra join at each vertex. As the name suggests, it can be obtained by truncating the great faceted hexacosichoron.

Vertex coordinates
The vertices of a truncated great faceted hexacosichoron of edge length 1 are given by all even permutations of:
 * $$\left(0,\,±\frac12,\,±\frac{\sqrt5-1}{4},\,±\frac{5\sqrt5-7}{4}\right),$$
 * $$\left(0,\,±\frac12,\,±3\frac{\sqrt5-1}{4},\,±3\frac{3-\sqrt5}{4}\right),$$
 * $$\left(0,\,±1,\,±\frac{\sqrt5-1}{2},\,±(\sqrt5-2)\right),$$
 * $$\left(0,\,±\frac{5-\sqrt5}{4},\,±\frac{3\sqrt5-5}{4},\,±\frac{4-\sqrt5}{2}\right),$$
 * $$\left(0,\,±\frac{\sqrt5-2}{2},\,±\frac{7-3\sqrt5}{4},\,±\frac{7-\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±1,\,±\frac{3\sqrt5-5}{4},\,±\frac{7-3\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt5-1}{2},\,±3\frac{3-\sqrt5}{4},\,±\frac{5-\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±1,\,±\frac{\sqrt5-2}{2},\,±3\frac{3-\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±\frac{5-\sqrt5}{4},\,±3\frac{\sqrt5-1}{4},\,±\frac{7-3\sqrt5}{4}\right),$$
 * $$\left(±\frac{\sqrt5-1}{2},\,±\frac{\sqrt5-2}{2},\,±3\frac{\sqrt5-1}{4},\,±\frac{3\sqrt5-5}{4}\right).$$

Related polychora
The truncated great faceted hexacosichoron is the colonel of a two-member regiment that also includes the truncated grand hexacosichoron.