Prismatotruncated penteract

The prismatotruncated penteract, or pattin, also called the runcitruncated 5-cube, is a convex uniform polyteron. It consists of 80 octahedral prisms, 80 triangular-octagonal duoprisms, 32 small rhombated pentachora, and 10 prismatorhombated hexadecachora. 1 small rhombated pentachoron, 1 octahedral prism, 2 prismatorhombated hexadecachora, and 2 triangular-octagonal duoprisms join at each vertex. As the name suggests, it is the runcitruncation of the penteract.

Vertex coordinates
The vertices of a prismatotruncated penteract of edge length 1 are given by all permutations of:
 * (±(1+2$\sqrt{2}$)/2, ±(1+2$\sqrt{2+√2}$)/2, ±(1+$\sqrt{25+12√2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2)