Small snubspinosnub heptishexacosichoron

The small snubspinosnub heptishexacosichoron, or sosenshex, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 great dodecahedra (some of which lie in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 2400 cuboctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 octahemioctahedra (forming 120 icosidisicosahedra), 600 small ditrigonal dodecicosidodecahedra, 600 rhombidodecadodecahedra, 600 truncated icosahedra, and 600 small rhombidodecahedra.

One great icosahedron, two great dodecahedra (two compounds), four cuboctahedra and four cubohemioctahedra (eight compounds), one octahemioctahedron (one compound), five small ditrigonal dodecicosidodecahedra, five rhombidodecadodecahedra, five truncated icosahedra, and five small rhombidodecahedra join at each vertex.

It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosidishecatonicosachora and 5 small spinobased dipentary hexacositrishecatonicosachora. In the process, some of the cuboctahedron and cubohemioctahedron cells blend out.

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