I’ve been always wondering, with all this variety, can the Game of Life model such a simple process as a circular wave? I can’t find anything about that.
"It is possible to build a pattern that acts like a finite state machine connected to two counters. This has the same computational power as a universal Turing machine, so the Game of Life is theoretically as powerful as any computer with unlimited memory and no time constraints: it is Turing complete."
