Small icosicosidodecahedral prism

The small icosicosidodecahedral prism or siidip is a prismatic uniform polychoron that consists of 2 small icosicosidodecahedra, 12 pentagrammic prisms, 20 triangular prisms, and 20 hexagonal prisms. Each vertex joins 1 small icosicosidodecahedron, 1 pentagrammic prism, 1 triangular prism, and 2 hexagonal prisms. As the name suggests, it is a prism based on the small icosicosidodecahedron.

Vertex coordinates
The vertices of a small icosicosidodecahedral prism of edge length 1 are given by all even permutations of the first three coordinates of:
 * $$\left(±\frac12,\,±\frac{1+\sqrt5}{4},\,±\frac{\sqrt5-1}{2},\,±\frac12\right),$$
 * $$\left(0,\,±\frac{3+\sqrt5}{4},\,±\frac{\sqrt5}{2},\,±\frac12\right),$$
 * $$\left(±\frac12,\,±1,\,±\frac{3+\sqrt5}{4},\,±\frac12\right).$$