The **cubic honeycomb** is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron.

It is a self-dual tessellation with Schläfli symbol {4,3,4}. It is part of a multidimensional family of hypercube honeycombs, with Schläfli symbols of the form {4,3,...,3,4}, starting with the square tiling, {4,4} in the plane.

It is one of 28 uniform honeycombs using convex uniform polyhedral cells.

Read more about Cubic Honeycomb: Uniform Colorings, Related Polytopes and Tesellations

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**Cubic Honeycomb**- Related Polytopes and Tesellations

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—Merle Colby, U.S. public relief program (1935-1943)