The octeractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 8-space.
It is an analog of the square tiling of the plane, the cubic honeycomb of 3-space.
There are many different Wythoff constructions of this honeycomb. The most symmetric form is regular, with Schläfli symbol {}. Another form has two alternating hypercube facets (like a checkerboard) with Schläfli symbol {}. The lowest symmetry Wythoff construction has 256 types of facets around each vertex and a prismatic product Schläfli symbol {}8.
