Celliprismated triacontaditeron

The celliprismated triacontaditeron, or capt, also called the steritruncated 5-cube, is a convex uniform polyteron. It consists of 80 tetrahedral prisms, 80 triangular-octagonal duoprisms, 40 truncated cubic prisms, 10 truncated tesseracts, and 32 small prismatodecachora. One small prismatodecachoron, 1 truncated tesseract, 1 tetrahedral prism, 3 truncated cubic prisms, and 3 triangular-octagonal duoprisms join at each vertex. As the name suggests, it is the steritruncation of the penteract.

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