Small inverted retrosnub icosicosidodecahedral prism

The small inverted retrosnub icosicosidodecahedral prism or sirsiddip is a prismatic uniform polychoron that consists of 2 small inverted retrosnub icosicosidodecahedra, 12 pentagrammic prisms, and 40+60 triangular prisms (40 of which form compounds in the same hyperplane, with bases combining into hexagrams). Each vertex joins 1 small inverted retrosnub icosicosidodecahedron, 1 pentagrammic prism, and 5 triangular prisms. As the name suggests, it is a prism based on the small inverted retrosnub icosicosidodecahedron.

Vertex coordinates
A small inverted retrosnub icosicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of the first three coordinates of:
 * $$\left(0,\,±\frac{3-\sqrt{3+2\sqrt5}}{4},\,±\frac{\sqrt5-1+\sqrt{6\sqrt5-2}}{8},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±\frac{\sqrt{3+2\sqrt5}-\sqrt5}{4},\,±\frac{1-\sqrt5+\sqrt{6\sqrt5-2}}{8},\,±\frac12\right),$$
 * $$\left(±\frac{\sqrt5-1}{4},\,±\frac{\sqrt{3+2\sqrt5}-1}{4},\,±\frac{3+\sqrt5-\sqrt{6\sqrt5-2}}{8},\,±\frac12\right).$$