Medial invertipental trishecatonicosachoron

The medial invertipental trishecatonicosachoron, or mipathi, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 120 great icosicosidodecahedra, and 120 great icosidodecahedra. Two great dodecahedra, ten great icosicosidodecahedra, and five great icosidodecahedra join at each vertex.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the rectified great stellated hecatonicosachoron.