Small diretrosnub prismatodisnub hexishexacosichoron

The small diretrosnub prismatodisnub hexishexacosichoron, or saderspidshax, 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 icosahedra, 4800 octahemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra, 600 icosidodecadodecahedra, 600 small rhombicosidodecahedra, and 6000 triangular prisms.

One great icosahedron and one small stellated dodecahedron (two compounds), one icosahedron, eight octahemioctahedra (eight compounds), five small dodecicosahedra, five icosidodecadodecahedra, five small rhombicosidodecahedra, and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosihecatonicosachora and 5 small capped dipentary trishecatonicosiprismatohexacosichora.

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