# The infinite X in Conway's game of life

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?

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What kind of experimental evidence do you have for large finite approximations? – Joel David Hamkins Jun 4 '13 at 2:01

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