Prismatotruncated tesseractic tetracomb

The prismatotruncated tesseractic tetracomb or potatit, also called the runcitruncated tesseractic tetracomb is a convex uniform tetracomb. 1 rectified icositetrachoron, 2 prismatorhombated hexadecachora, 2 square-octagonal duoprisms, and 1 cuboctahedral prism join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the tesseractic tetracomb.

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


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

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

Representations
A prismatotruncated tesseractic tetracomb has the following Coxeter diagrams:


 * x4x3o3x4o (full symmetry)
 * x3o3x *b3x4x (half symmetry)