Medial ditrigonary trishecatonicosachoron

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

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