Ooh that's nifty! Is there any way to read a bit more about rigorous treatments of "Game of Life"? (Books on combinatorics I suspect?)
I suggest The Computational Beauty Of Nature by Gary William Flake, and then Cellular Automata by Andrew Ilachinski.
Thank you very much, I guess Conway wrote many articles about GoL. I am sorry I have no reference about them, maybe you can find some in the GoL wiki here http://conwaylife.com/w/index.php?title=Main_Page