Omnifacetopental prismatohexacosihecatonicosachoron

The omnifacetopental prismatohexacosihecatonicosachoron, or ofpipixhi, is a nonconvex uniform polychoron that consists of 600 octahedra, 720 pentagrammic prisms, and 120 great dodecicosidodecahedra. Five octahedra, ten pentagrammic prisms, and ten great dodecicosidodecahedra join at each vertex.

It also has great complex icosidodecahedra and great icosidodecahedra+decagrams as exotic pseudofacets.

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