Related Polytopes and Tesellations
The, Coxeter group generates 15 permutations of uniform tessellations, 9 with unique symmetry and 8 with unique geometry. The expanded cubic honeycomb is geometrically identical to the cubic honeycomb.
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It is related to the regular 4-polytope tesseract, Schläfli symbol {4,3,3}, which exists in 4-space, and only has 3 cubes around each edge. It's also related to the order-5 cubic honeycomb, Schläfli symbol {4,3,5}, of hyperbolic space with 5 cubes around each edge.
Read more about this topic: Cubic Honeycomb
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