Small snubretrosnub prismatodisnub dishexacosidishexacosichoron

The small snubretrosnub prismatodisnub dishexacosidishexacosichoron, or sosirspid sadixdax, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra, 2400 octahemioctahedra and 2400 cuboctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of one of each), 600 cubohemioctahedra (forming 120 great antirhombicosahedra), 600 truncated icosahedra, 600 small dodecicosidodecahedra, and 6000 triangular prisms.

One great icosahedron, one icosahedron, four octahemioctahedra and four cuboctahedra (eight compounds), one cubohemioctahedron (one compound), five truncated icosahedra, five small dodecicosidodecahedra, and five triangular prisms join at each vertex.

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