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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“The near explains the far. The drop is a small ocean. A man is related to all nature. This perception of the worth of the vulgar is fruitful in discoveries. Goethe, in this very thing the most modern of the moderns, has shown us, as none ever did, the genius of the ancients.”
—Ralph Waldo Emerson (1803–1882)