Great quasiprismated penteract

The great quasiprismated penteract, or gaquapan, is a nonconvex uniform polyteron. It consists of 80 truncated tetrahedral prisms, 80 triangular-octagrammic duoprisms, 32 great rhombated pentachora, and 10 great quasidisprismatotesseractihexadecachora. 2 great quasidisprismatotesseractihexadecachora, 1 great rhombated pentachoron, 1 truncated tetrahedral prism, and 1 triangular-octagrammic duoprism join at each vertex. It is the quasiruncicantitruncation of the penteract.

Vertex coordinates
The vertices of a great quasiprismated penteract of edge length 1 are given by all permutations of:
 * $$\left(±\frac{3\sqrt2-1}{2},\,±\frac{3\sqrt2-1}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12\right).$$