https://www.youtube.com/watch?v=ahXIMUkSXX0
Although her target audience is probably a bit younger than the people here, I still thought someone may find it interesting, especially if they hadn't thought about it much.
Edit: Also, if you have kids interested in math and these kinds of things, they may be interested in some of the other videos on her channel. She has a interesting way of presenting ideas on a few topics.
"Make new honeycomb cells at the edge of the honeycomb."
"Don't get more than 10 cells from the old honeycomb."
There you go, a 10-cell-wide spiral.
https://www.researchgate.net/publication/282924880_Comb_Arch...
I don’t think there was any intention of trying to describe a comprehensive rule set in this thread.
Part of feels like, so what? If we figured out a mathematical model that described the phenomenon, what then?
It's like the way that any time we do something that looks like AI, it's "not real AI" because we understand how it works.
There are two (at least) modes of relating to the world, one is a disassociated analytical stance, the "objective" observer, the other is an associated experiential stance, the "subjective" observer. The former leads to science while the latter leads to mysticism. Like the wave/particle models of light, each both gives something and takes something away.
If mathematical models are starting to bore you it's possible you're getting ready to explore subjective reality? (E.g. go to an aquarium and really look at a jellyfish.)
That said, I can imagine that understanding the behavior of social insects, generally, might have practical implications in designing swarm robot behavior.