Small prismatohecatonicosachoron

The small prismatohecatonicosachoron, or sophi, is a nonconvex uniform polychoron that consists of 120 great dodecahedra and 720 pentagonal prisms. 2 great dodecahedra and 10 pentagonal prisms join at each vertex.

A double cover of this polychoron can be formed by expanding the cells of the great hecatonicosachoron outward.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.