Great quasiprismatodishexadecachoron

The great quasiprismatodishexadecachoron, or gaquipadah, is a nonconvex uniform polychoron consisting of 16 regular tetrahedra, 24 triangular prisms, 16 cubes, and 8 octagrammic prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 2 octagrammic prisms meet each vertex. It can be created by blending a quasidisprismatotesseractihexadecachoron with an octagrammic diorthoprism.

Vertex coordinates
Coordinates for the vertices of an inverted quasiprismatodishexadecachoron with edge length 1 are given by all permutations of:
 * $$\left(±\frac{\sqrt{2}-1}{2},\,±\frac12,\,±\frac12,\,±\frac12\right)$$.