Bitruncated tesseractic tetracomb

The bitruncated tesseractic tetracomb, or batitit, is a convex uniform tetracomb. 2 truncated hexadecachora and 4 tesseractihexadecachora join at each vertex of this tessellation. As the name suggests, it is the bitruncation of the tesseractic tetracomb.

Vertex coordinates
The vertices of a bitruncated cubic honeycomb of edge length 1 are given by all permutations of:


 * $$\left(2\sqrt2i,\,±\frac{\sqrt2}{2}+2\sqrt2j,\,\sqrt2+2\sqrt2k,\,\sqrt2+2\sqrt2l\right),$$

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

Representations
A bitruncated tesseractic tetracomb has the following Coxeter diagrams:


 * o4x3x3o4o (full symmetry)
 * o3x3o *b3x4o (half symmetry, rectangular scalene verf)
 * x3x3x *b3o4o (half symmetry, square pyramidal pyramid verf)
 * x3x3x *b3o *b3o (quarter symmetry, rectangular pyramidal pyramid verf)