In Conway's game of life, take the initial position to be two infinite diagonal lines of live cells, with a single cell in common. Does this thing converge to a stable configuration? I.e., is the state of each cell (or finite region) eventually periodic?

  • 5
    $\begingroup$ What kind of experimental evidence do you have for large finite approximations? $\endgroup$ Jun 4, 2013 at 2:01

1 Answer 1


What I get from an X of size $11121\times11121$ at just around the point where information travels to the tips.

Even from Xs ten times as long, there is Methuselah-like ebbing and flowing of debris near the center amid a pool of still lifes and blinkers still thousands of generations on.

Just going from experience working on the Busy Beaver of 5, I would imagine this question might be enormously difficult to settle, owing to the globally fractal and locally random nature of the picture.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy