Penteractic pentacomb

The penteractic pentacomb or penth, also called the penteractic honeycomb or 5-cubic honeycomb, is the only regular pentacomb or tessellation of 5D Euclidean space. 4 penteracts join at each cell, and 32 join at each vertex of this honeycomb. It is the 5D hypercubic honeycomb.

Vertex coordinates
The vertices of a penteractic pentacomb of edge length 1 are given by (i, j, k, l, m), where i, j, k, l, m are integers.