Great tritrigonary prismatohecatonicositrishecatonicosachoron

The great tritrigonary prismatohecatonicositrishecatonicosachoron, or getit phithi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 720 decagrammic prisms, and 120 great quasitruncated icosidodecahedra. One ditrigonary dodecadodecahedron, three quasirhombicosidodecahedra, three great icosicosidodecahedra, six decagrammic prisms, and six great quasitruncated icosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.