6 Dec
2011
6 Dec
'11
1:02 a.m.
Good point. Now let me make a feeble attempt to rescue the Adam & Eve question.
Consider those patterns each having an infinite sequence of ancestors.
Is there a starting pattern for which every one of these eventually appears somewhere among its descendants?
That is a ludicrously difficult question to solve; it may even be undecidable. For the special case where 'pattern having an infinite sequence of ancestors' is replaced with 'pattern with a finite well-spaced glider synthesis', the answer is yes. Sincerely, Adam P. Goucher