Small rhombated hecatonicosachoric prism

The small rhombated hecatonicosachoric prism or srahip is a prismatic uniform polyteron that consists of 2 small rhombated hecatonicosachora, 120 small rhombicosidodecahedral prisms, 600 octahedral prisms, and 1200 triangular-square duoprisms. 1 small rhombated hecatonicosachoron, 2 small rhombicosidodecahedral prisms, 1 octahedral prism, and 2 triangular-square duoprisms join at each vertex. As the name suggests, it is a prism based on the small rhombated hecatonicosachoron, which also makes it a convex segmentoteron.

Vertex coordinates
Coordinates for the vertices of a small rhombated hecatonicosachoric prism of edge length 1 are given by all permutations of the first four coordinates of: together with all even permutations of the first four coordinates of:
 * $$\left(0,\,0,\,±(2+\sqrt5),\,±(3+\sqrt5),\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}{2},\,±3\frac{2+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac12,\,±\frac{5+2\sqrt5}{2},\,±\frac{5+2\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}{2},\,±\frac{3+\sqrt5}{2},\,±(2+\sqrt5),\,±(2+\sqrt5),\,±\frac12\right),$$
 * $$\left(±\frac{2+\sqrt5}{2},\,±\frac{2+\sqrt5}{2},\,±\frac{3+2\sqrt5}{2},\,±\frac{5+2\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(0,\,±\frac12,\,±\frac{13+5\sqrt5}{4},\,±\frac{5+3\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}{4},\,±\frac{11+5\sqrt5}{4},\,±\frac{3+2\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{3+\sqrt5}{4},\,±3\frac{2+\sqrt5}{2},\,±\frac{5+\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{2+\sqrt5}{2},\,±\frac{9+5\sqrt5}{4},\,±3\frac{3+\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{9+5\sqrt5}{4},\,±(2+\sqrt5),\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{3+\sqrt5}{4},\,±\frac{13+5\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{1+\sqrt5}{2},\,±\frac{11+5\sqrt5}{4},\,±\frac{7+3\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{7+3\sqrt5}{4},\,±(2+\sqrt5),\,±3\frac{3+\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±3\frac{2+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac{5+2\sqrt5}{2},\,±3\frac{3+\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{13+5\sqrt5}{4},\,±\frac{2+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{5+\sqrt5}{4},\,±\frac{5+2\sqrt5}{2},\,±(2+\sqrt5),\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{2+\sqrt5}{2},\,±(3+\sqrt5),\,±\frac{7+3\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{7+3\sqrt5}{4},\,±\frac{3+2\sqrt5}{2},\,±(2+\sqrt5),\,±\frac12\right),$$
 * $$\left(±\frac{1+\sqrt5}{2},\,±\frac{5+3\sqrt5}{4},\,±\frac{5+2\sqrt5}{2},\,±\frac{7+3\sqrt5}{4},\,±\frac12\right),$$
 * $$\left(±\frac{5+\sqrt5}{4},\,±\frac{2+\sqrt5}{2},\,±\frac{11+5\sqrt5}{4},\,±\frac{3+\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac{2+\sqrt5}{2},\,±\frac{3+\sqrt5}{2},\,±\frac{5+3\sqrt5}{4},\,±\frac{9+5\sqrt5}{4},\,±\frac12\right).$$