Small dispinosnub octishexacosichoron

The small dispinosnub octishexacosichoron, or sodnosox, 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), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 1200 small dodecicosahedra (forming 600 compounds of two), and 600 small rhombicosidodecahedra.

One small stellated dodecahedron and one great icosahedron (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, ten small dodecicosahedra (ten compounds), and five small rhombicosidodecahedra join at each vertex.

It can be obtained as the blend of 5 small capped dipentary tetrishecatonicosihexacosichora and 5 small dipentary hexacosihecatonicositrishecatonicosachora. 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.