Celliprismatotruncated tesseractic tetracomb

The celliprismatotruncated tesseractic tetracomb or captatit, also called the steriruncitruncated tesseractic tetracomb is a convex uniform tetracomb. 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 2 octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steriruncitruncation of the tesseractic tetracomb.

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


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

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