Rectified penteractic pentacomb

The rectified penteractic pentacomb or rinoh, also called the rectified 5-cubic honeycomb, is a convex uniform pentacomb. 2 triacontaditera and 16 rectified penteracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the penteractic pentacomb.

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


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

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

Representations
A rectified penteractic pentacomb has the following Coxeter diagrams:


 * o4x3o3o3o4o (full symmetry)
 * o3o3o *b3o3x4o (half symmetry, rectified penteracts of two types)
 * x3o3x *b3o3o4o (half symmetry, triacontaditera of two types)
 * x3o3x o3o3o *b3*e (quarter symmetry)