love this phrase: "naturally constructed" numbers, suggesting that the numbers we use every day are themselves computational conveniences, and possibly that another number construction could be useful at other scales.
I thought maybe this was a reference to constructivist mathematics, to refer to only this numbers that are algorithmic and exclude numbers we know exist in ℝ but have to be proven to exist using the axiom of choice.
maybe, probably, it was. But the idea that a measure of one of these rules can be interpreted as a number sparked my imagination.
I have to say also that interpreting the grid as space itself, and color of the square as the presence or absence of a particle is pretty compelling. When I think of it that way, then the proportion of each color matters a lot, as it would be the way equilibrium is expressed.