Small dispinosnub prismatodisnub heptishexacosichoron

The small dispinosnub prismatodisnub heptishexacosichoron, or sedanspidshex, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 small icosicosidodecahedra and 600 small ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 small rhombidodecahedra, 600 icosidodecadodecahedra, and 6000 triangular prisms.

One small stellated dodecahedron, one icosahedron and one great dodecahedron (two compounds), eight cubohemioctahedra (eight compounds), five small icosicosidodecahedra and five small ditrigonal dodecicosidodecahedra (ten compounds), five small rhombidodecahedra, five icosidodecadodecahedra, and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosihexacositrishecatonicosachora and 5 small based dipentary prismatodishecatonicosihexacosihecatonicosachora. 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.