Birectified hexeractic hexacomb

The birectified hexeractic hexacomb or braxh, also called the birectified 6-cubic honeycomb, is a convex uniform hexacomb. 4 rectified hexacontatetrapeta and 16 birectified hexeracts join at each vertex of this tessellation. As the name suggests, it is the birectification of the hexeractic pentacomb. It is also the rectified demihexeractic pentacomb.

Vertex coordinates
The vertices of a birectified hexeractic hexacomb of edge length 1 are given by all permutations of:


 * $$\left(\sqrt2i,\,\sqrt2j,\,±\frac{\sqrt2}{2}+\sqrt2k,\,±\frac{\sqrt2}{2}+\sqrt2l,\,±\frac{\sqrt2}{2}+\sqrt2m,\,±\frac{\sqrt2}{2}+\sqrt2n\right),$$

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

Representations
A birectified hexeractic pentacomb has the following Coxeter diagrams:


 * o4o3x3o3o3o4o (full symmetry)
 * o3o3o *b3o3x3o4o (half symmetry, birectified hexeracts of two types)
 * o3x3o *b3o3o3o4o (half symmetry, rectified hexacontatetrapeta of two types)
 * o3x3o o3o3o *b3o3*e (quarter symmetry)