Medial retroditetrahedronary trishecatonicosachoron

The medial retroditetrahedronary trishecatonicosachoron, or mardatathi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great stellated dodecahedra, and 120 dodecadodecahedra. Four great ditrigonary icosidodecahedra, four great stellated dodecahedra, and six dodecadodecahedra join at each vertex.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.