Small snubretrosnub heptishexacosichoron

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

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

It can be obtained as the blend of 5 small dipentary hecatonicosihexacosidishecatonicosachora and 5 small dipentary trishecatonicosihecatonicosihexacosichora. 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.