Small diretrosnub prismatosnub dishexacosipentishexacosichoron

The small diretrosnub prismatosnub dishexacosipentishexacosichoron, or sadersposid xopex, is a nonconvex uniform polychoron that consists of 1200 icosahedra (falling into pairs into the same hyperplane, forming 600 snub disoctahedra), 600 great icosahedra and 600 small stellated dodecahedra (also compounding into 600 compound of one icosahedron and one great dodecahedron), 4800 octahemioctahedra (forming 2400 compound of two octahemioctahedra), 600 small dodecicosahedra, 600 truncated icosahedra, 600 small rhombicosidodecahedra, and 3600 pentagrammic prisms.

Two icosahedra (two compounds), one great icosahedron and one small stellated dodecahedron (two compounds), eight octahemioctahedra (eight compounds), five small dodecicosahedra, five truncated icosahedra, five small rhombicosidodecahedra, and five pentagrammic prisms join at each vertex.

This polychoron can be obtained as the blend of 5 small dipentary dishecatonicosihexacosihecatonicosachora and 5 small dipentary tetrishecatonicosiprismatohexacosichora. In the process some of the octahemioctahedra blend out fully, while the other cells compound as noted above.

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