Great dispinosnub prismatodisnub heptishexacosichoron

The great dispinosnub prismatodisnub heptishexacosichoron, or gedanspidshex, 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), 600 great dodecahedra, 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great icosicosidodecahedra and 600 great ditrigonal dodecicosidodecahedra (forming 600 compounds of one of each), 600 great rhombidodecahedra, 600 icosidodecadodecahedra, and 6000 triangular prisms.

One great icosahedron and one small stellated dodecahedron (two compounds), one great dodecahedron, eight cubohemioctahedra (eight compounds), five great icosicosidodecahedra and five great ditrigonal dodecicosidodecahedra (ten compounds), five great rhombidodecahedra, five icosidodecadodecahedra, and five triangular prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary hecatonicosihexacositrishecatonicosachora and 5 great capped dipentary prismatodishecatonicosihexacosihecatonicosachora. In the process, some of the cubohemioctahedron cells blend out.

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