Prismatorhombated penteract

The prismatorhombated penteract, or prin, also called the runcicantellated 5-cube, is a convex uniform polyteron. It consists of 80 triangular-square duoprisms, 80 truncated tetrahedral prisms, 32 decachora, and 10 prismatorhombated tesseracts. 2 prismatorhombated tesseracts, 1 decachoron, 1 triangular-square duoprism, and 2 truncated tetrahedral prisms join at each vertex. As the name suggests, it is the runcicantellation of the penteract.

The prismatorhombated penteract contains the vertices of a great rhombated tesseractic prism.

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