Rectified hexeractic hexacomb

The rectified hexeractic hexacomb or raxh, also called the rectified 6-cubic honeycomb, is a convex uniform hexacomb. 2 hexacontatetrapeta and 32 rectified hexeracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the hexeractic hexacomb.

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


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

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

Representations
A rectified hexeractic pentacomb has the following Coxeter diagrams:


 * o4x3o3o3o3o4o (full symmetry)
 * o3o3o *b3o3o3x4o (half symmetry, rectified hexeracts of two types)
 * x3o3x *b3o3o3o4o (half symmetry, hexacontatetrapeta of two types)
 * x3o3x o3o3o *b3o3*e (quarter symmetry)