Small disnub snub heptishexacosipentishecatonicosachoron

The small disnub snub heptishexacosipentishecatonicosachoron, or sidsoshexphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra and 600 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 1200 icosahedra (forming 600 snub disoctahedra), 4800 cuboctahedra (forming 2400 compounds of two), 600 small rhombidodecahedra, 600 rhombidodecadodecahedra, 600 truncated icosahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

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

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

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