Small dispinosnub snub prismatodisnub hexishexacosipentishecatonicosachoron

The small dispinosnub snub prismatodisnub hexishexacosipentishecatonicosachoron, or sadinsospid shoxphi, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra and 600 great icosahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 great dodecahedra and 600 icosahedra (forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 small dodecicosahedra, 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra), and 6000 triangular prisms.

One small stellated dodecahedron and one great icosahedron (two compounds), one great dodecahedron and one icosahedron (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five small dodecicosahedra, five truncated tetrahedra (one compound, four single), and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 small capped dipentary tetrishecatonicosihexacosichora and 5 small dipentary prismatodishexacosidishecatonicosachora. In the process, some of the cubohemioctahedron cells blend out.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.