yes you are right the question was ambiguous. WHat I was really looking for is if there is a way to physically derive PI out of some basic cellular automata operations. that does not necessarily have to involve circles etc. much less so about representing digits of PI itself. just that an pattern that evolves into ever more accurate values of pi (or a quantity derived from pi). this definitly must not be encoded or somehow preprogrammed into the GoL's initial condition. In fact I dont even care if the evolution rules of standard GoL are followed. just that SOME set of rules automatically produce PI-derivative.
the reason it would be cool is because then we've taken a most fundamental geometric constant and derived it from purely graph update type of mechanics. if you could do that then likely you can do a whole set of other things like physical laws.
the reason it would be cool is because then we've taken a most fundamental geometric constant and derived it from purely graph update type of mechanics. if you could do that then likely you can do a whole set of other things like physical laws.