Small hecatonicosafaceted prismatohecatonicosihexacosichoron

The small hecatonicosafaceted prismatohecatonicosihexacosichoron, or shif phix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagonal prisms, and 120 small rhombicosidodecahedra. One tetrahedron, three pentagonal prisms, and three small rhombicosidodecahedra join at each vertex.

It also has 120 dodecadodecahedra and 1200 triangular prisms as pseudofacets.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the small disprismatohexacosihecatonicosachoron.