Inverted quasiprismatodishexadecachoron

The inverted quasiprismatodishexadecachoron, or iquipadah, is a nonconvex uniform polychoron that consists of 16 regular tetrahedra, 24 triangular prisms, 16 cubes, and 8 octagonal prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 2 octagonal prisms meet at each vertex. It can be created by blending a small disprismatotesseractihexadecachoron with an octagonal diorthoprism.

Vertex coordinates
Coordinates for the vertices of an inverted quasiprismatodishexadecachoron with edge length 1 are given by all permutations of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12,\,±\frac12\right).$$