isaackuo, Truncated Octahedron tiling
You know cubes tile space. You may know rhombic dodecahedrons tile space. But did you know truncated octahedrons tile space?
https://en.wikipedia.org/wiki/Bitruncated_cubic_honeycomb
Each cell has 14 neighbors, either (2,0,0) away or (1,1,1) away. These are almost the same distance away (only 15% different).
One advantage is that it works intuitively with cube facings - you can move directly in the 6 cube directions.
Another advantage is it maps well to graph paper ...
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