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andrewthehacker

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andrewthehacker
·4 年前·議論
NOTE: The central patch which settled the conjecture is a chunk of an infinite repetitive configuration composed of 2x2 "blocks" and S-looking shapes "snakes". Given that the block-square pattern is somewhat well known in CGOL, it's likely that multiple people have created still configurations with the conjectured property without realizing it at the time.
andrewthehacker
·4 年前·議論
Plenty of patterns are stable (in fact, infinitely many), but what we didn't have before today is a stable pattern which cannot be constructed from scratch. This is such a pattern, because the patch in the middle must have existed since Generation 0 and therefore is unable to be formed just from emptiness - "if it isn't there it won't be".
andrewthehacker
·4 年前·議論
The purpose of the cells in yellow is to turn the patch relevant to this discussion into a still life: it's already got the property of "must exist in gen N-1 if it is in gen N" without those yellows, but this serves to keep it from destabilizing instantly.