Celliprismated tesseractic tetracomb

The celliprismated tesseractic tetracomb or capotat, also called the cellitruncated tesseractic tetracomb or steritruncated tesseractic tetracomb is a convex uniform tetracomb. 1 truncated tesseract, 1 small disprismatotesseractihexadecachoron, 1 tesseract, 3 truncated cubic prisms, and 3 square-octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steritruncation of the tesseractic tetracomb.

Vertex coordinates
The vertices of a celliprismated tesseractic tetracomb of edge length 1 are given by all permutations of:


 * $$\left(±\frac12+(2+\sqrt2)i,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)j,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)k,\,±\frac{1+\sqrt2}{2}+(2+\sqrt2)l\right),$$

Where i, j, k, and l range over the integers.