Quasiprismatotruncated penteract

The quasiprismatotruncated penteract, or quiptin, is a nonconvex uniform polyteron. It consists of 80 octahedral prisms, 80 triangular-octagrammic duoprisms, 32 small rhombated pentachora, and 10 quasiprismatorhombated hexadecachora. 1 small rhombated pentachoron, 1 octahedral prism, 2 quasiprismatorhombated hexadecachora, and 2 triangular-octagrammic duoprisms join at each vertex. It is the quasiruncitruncation of the penteract.

Vertex coordinates
The vertices of a quasiprismatotruncated penteract of edge length 1 are given by all permutations of:
 * $$\left(±\frac{2\sqrt2-1}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12\right).$$

Related polytopes
The quasiprismatotruncated penteract is the colonel of a regiment of 7 members.