Small snub icosicosidodecahedral prism

The small snub icosicosidodecahedral prism or sesidip is a prismatic uniform polychoron that consists of 2 small snub 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 snub icosicosidodecahedron, 1 pentagrammic prism, and 5 triangular prisms. As the name suggests, it is a prism based on the small snub icosicosidodecahedron.

Vertex coordinates
A small snub icosicosidodecahedral prism of edge length 1 has vertex coordinates given by all even permutations of:
 * (0, ±(3+$\sqrt{5}$)/4, ±(1–$\sqrt{2}$+$\sqrt{17+3√5+√(102+46√5)}$)/8, ±1/2),
 * (±1/2, ±($\sqrt{5}$+$\sqrt{302+150√5}$)/4, ±($\sqrt{3+2√5}$–1+$\sqrt{3+2√5}$)/8, ±1/2),
 * (±($\sqrt{5}$–1)/4, ±(1+$\sqrt{6√5–2}$)/4, ±(3+$\sqrt{5}$+$\sqrt{3+2√5}$)/8, ±1/2).