Great tesseractifaceted cubitesseractihexadecachoron

The great tesseractifaceted cubitesseractihexadecachoron, or gittifcoth, is a nonconvex uniform polychoron that consists of 8 quasirhombicuboctahedra, 16 tetrahedra, and 24 cubes. Three quasirhombicuboctahedra, one tetrahedron, and three cubes join at each vertex.

It also has 8 cubes and 32 triangular prisms as pseudofacets.

It can be constructed as a blend of a compound of four great cubicuboctahedral prisms.

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