Great diretrosnub prismatodisnub hexishexacosichoron

The great diretrosnub prismatodisnub hexishexacosichoron, or gaderspidshax, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 icosahedra and 600 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 compounds of one of each), 4800 octahemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 600 icosidodecadodecahedra, 600 quasirhombicosidodecahedra, and 6000 triangular prisms.

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

It can be obtained as the blend of 5 great dipentary dishecatonicosihexacosihecatonicosachora and 5 great based dipentary trishecatonicosiprismatohexacosichora. In the process, some of the octahemioctahedron cells blend out.

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