I have looked into creating multiple dimensional honeycombs, and I can't find an algorithm or methodology for 3 or more dimensions. Is there a general algorithm or heuristic that can be used?
2026-03-25 06:04:57.1774418697
Is there an algorithm to design 3 and n dimensional honeycombs or tessellations?
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Partial answer.
For three dimensions if you want all cells to be identical see here: http://mathworld.wolfram.com/Space-FillingPolyhedron.html
Without that restriction you can build the tetrahedral - octahedral truss, and perhaps others.
In higher dimensions you can make a prism of any space filler in a lower dimension.
I am sure the problem has been studied in general in higher dimensions. I doubt there's an algorithm.