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 evenpermutations of the first three coordinates of:
 * (±1/2, ±(1+$\sqrt{3}$)/4, ±($\sqrt{5}$–1)/2, ±1/2)
 * (0, ±(3+$\sqrt{3}$)/4, ±$\sqrt{2}$/2, ±1/2)
 * (±1/2, ±1, ±(3+$\sqrt{(19+3√5)/8}$)/4, ±1/2)