Great prismated penteract

The great prismated penteract, or gippin, also called the runcicantitruncated 5-cube, is a convex uniform polyteron. It consists of 80 truncated tetrahedral prisms, 80 triangular-octagonal duoprisms, 32 great rhombated pentachora, and 10 great disprismatotesseractihexadecachora. 2 great disprismatotesseractihexadecachora, 1 great rhombated pentachoron, 1 truncated tetrahedral prism, and 1 triangular-octagonal duoprism join at each vertex. As the name suggests, it is the runcicantitruncation of the penteract.

Vertex coordinates
The vertices of a great prismated penteract of edge length 1 are given by all permutations of:
 * (±(1+3$\sqrt{2}$)/2, ±(1+3$\sqrt{3}$)/2, ±(1+2$\sqrt{2+√2}$)/2, ±(1+$\sqrt{51+18√2}$)/2, ±1/2)