Medial ditrigonary tetrishecatonicosachoron

The medial ditrigonary tetrishecatonicosachoron, or midtuthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 120 rhombicosahedra. Two ditrigonary dodecadodecahedra, six great ditrigonal dodecicosidodecahedra, six small 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.