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…
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…
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…
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…
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…
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…