Great short article. I haven't looked deeply into the math behind this yet, but this looks to be a preprint [0]. It doesn't appear they're looking directly at

Great short article. I haven't looked deeply into the math behind this yet, but this looks to be a preprint [0]. It doesn't appear they're looking directly at the Space Groups as a way to reduce out any symmetries or repetitions that may occur (thus generalizing simplifications of the problem "space"), but it would be interesting to see whether those structures apply or not. I say this as someone who writes software to apply the Space Groups and describe the Voronoi cells around points (or groups of points) distributed through them, so I'm familiar with the "uncanny" ways effects propagate. [1] I'm also not a mathematician (just a lowly architect), so I'm way out of my depth here. But it's fascinating and as someone looking at paths across these generated honeycombs, this result bears more investigation for me as well. [0] https://arxiv.org/pdf/2303.14605.pdf https://arxiv.org/pdf/2303.14605.pdf [1] If you know a mathematician who might be interested in collaborating on this kind work, ping me. This is ongoing work, and as I said I'm out of my depth mathematically. But have run into some interesting properties that don't seem that deeply investigated which may bear deeper study by an actual expert.