Medial ditrigonary hecatonicosidishecatonicosachoron

The medial ditrigonary hecatonicosidishecatonicosachoron, or midthidy, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 icosidodecadodecahedra, and 120 great icosicosidodecahedra. Two small ditrigonary icosidodecahedra, six icosidodecadodecahedra, and six great icosicosidodecahedra join at each vertex.

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