Grand quasirhombic prismatotesseract

The grand quasirhombic prismatotesseract, or gaqript, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 24 octagrammic prisms. Two great rhombihexahedra and four octagrammic prisms join at each vertex.

It can be constructed as a blend of a compound of three octagrammic duoprisms.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the sphenoverted tesseractitesseractihexadecachoron.