Cellirhombated tesseractic tetracomb

The cellirhombated tesseractic tetracomb or cartit, also called the stericantellated tesseractic tetracomb is a convex uniform tetracomb. 2 small rhombated tesseracts, 4 small rhombicuboctahedral prisms, and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the stericantellation of the tesseractic tetracomb.

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


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

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