Small disnub snub pentishecatonicosiheptishexacosichoron

The small disnub snub pentishecatonicosiheptishexacosichoron, or sidsosphiheex, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 600 great dodecahedra, 4800 cuboctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra and 600 small icosicosidodecahedra (forming 600 compounds of one of each), 600 small rhombidodecahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron and one small stellated dodecahedron (two compounds), one great dodecahedron, eight cuboctahedra (eight compounds), five rhombidodecadodecahedra, five small ditrigonal dodecicosidodecahedra and five small icosicosidodecahedra (ten compounds), five small rhombidodecahedra, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosidishecatonicosachora and 5 small dipentary dishecatonicosidishexacosihecatonicosachora.

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