Small invertipental trishecatonicosachoron

The small invertipental trishecatonicosachoron, or sipathi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 dodecadodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two great icosahedra, five dodecadodecahedra, and ten small ditrigonal dodecicosidodecahedra meet at each vertex.

It is in the regiment of the rectified great hecatonicosachoron.

It is superficially identical to the small intercepted invertipental trishecatonicosachoron, differing only internally.