Skewverted prismatotristesseract

The skewverted prismatotristesseract, or kaviptit, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra, 8 small rhombihexahedra, 8 cuboctatruncated cuboctahedra, and 32 hexagonal prisms. One great rhombihexahedron, one small rhombihexahedron, two cuboctatruncated cuboctahedra, and two hexagonal prisms join at each vertex.

It can be constructed as a blend of four cuboctatruncated cuboctahedral prisms.

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