Small snubretrosnub hexishexacosichoron

The small snubretrosnub hexishexacosichoron, or sosershox, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (some of which lie in the same hyperplanes, forming 600 small retrosnub disoctahedra), 1200 icosahedra (forming 600 snub disoctahedra), 2400 octahemioctahedra and 2400 cuboctahedra (forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 small rhombidodecahedra, and 600 small dodecicosahedra.

Two great icosahedra (two compounds), two icosahedra (two compounds), four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five small rhombidodecahedra, and five small dodecicosahedra join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary dishecatonicosihexacosihecatonicosachora. In the process, some of the octahemioctahedron and cuboctahedron cells blend out.

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