Great hexadecafaceted prismatotesseractioctachoron

The great hexadecafaceted prismatotesseractioctachoron, or gahfipto, is a nonconvex uniform polychoron that consists of 8 quasirhombicuboctahedra, 8 cubes, and 32 triangular prisms. Three quasirhombicuboctahedra, one cube, and three triangular prisms join at each vertex.

It also has 16 tetrahedra and 24 cubes as pseudofacets.

It can be constructed as a blend of four quasirhombicuboctahedral prisms. In the process some of the cubical cells blend out. Alternatively, it can be thought of as a blend of four great cubicuboctahedral prisms. In the process the octagrammic prism side cells blend with the base great cubicuboctahedra to produce the quasirhombicuboctahedra.

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