Grand ditrigonary tetrishecatonicosachoron

The grand ditrigonary tetrishecatonicosachoron, or gadtuthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, and 120 rhombicosahedra. Two ditrigonary dodecadodecahedra, six small ditrigonal dodecicosidodecahedra, six great icosicosidodecahedra, and six rhombicosahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.