The interesting bit is that the best "math theory" we have for describing the behavior of this system is not much better than just running the simulation. In theory, the system should be "simple" in the sense that it has a low information entropy, as evidenced by its simple rules. And yet, we can't yet derive high-order epiphenomena from the low-order description without the rather brutish, informal, and inexact tactic of cranking through the rules and watching what happens. In short, it's interesting because it does look like it could "describable with some math theory" but so far said math theory has not been found.
