15 Dec
2013
15 Dec
'13
9:59 a.m.
On the usual 2D integer grid with 0/1 binary state on each grid point, there are exactly 262144=2^18 possible cellular automaton rules of the form MyNewState = F(MyOldState, NumberOfNeighborsWhichAre1) based on each grid point regarded as having 8 neighbors, any number 0-8 of which can be in state 1. One could, I suppose, try to classify all 262144 trying to find the small fraction among such rules which are "interesting." LIFE and the new rule Lunnon just pointed out (if I understand it aright), are interesting. -- Warren D. Smith http://RangeVoting.org