Grand ditrigonary hecatonicosihexacosihecatonicosihecatonicosachoron

The grand ditrigonary hecatonicosihexacosihecatonicosihecatonicosachoron, or gadthixhihy, is a nonconvex uniform polychoron that consists of 120 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 600 octahemioctahedra. Six rhombidodecadodecahedra, six great ditrigonal dodecicosidodecahedra, six small icosicosidodecahedra, and six octahemioctahedra join at each vertex.

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