Number-conserving cellular automata can be thought as simulating particle systems, like grains of sand or cars in a street.

I have just placed a text about one-dimensional number-conserving cellular automata into the arXiv (https://arxiv.org/abs/2308.00060). It is a kind of sequel to an earlier paper, in which I had derived a general construction scheme for all such automata. But a lot of things are still unknown, and the theory of such automata looks quite interesting. In my new paper I prove some new theorems, describe how to simulate the automata on a computer and how to find interesting rules, and I show images of a few rules I have fond this way. Comments are welcome!

#CellularAutomata #NumberConservation