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(Not just any such pattern, though -- a still life also means that it doesn't change when you evolve it according to Life rules.)
by dvgrn 4y ago
(Not just any such pattern, though -- a still life also means that it doesn't change when you evolve it according to Life rules.)
- OscarCunningham 4y agoAlso we can only do the strict still lives (i.e. those which are connected https://conwaylife.com/wiki/Still_life#Strict_still_lifes https://conwaylife.com/wiki/Still_life#Strict_still_lifes). We can't necessarily put down a 10-cell still life and an 11-cell still life near to each other.
- dvgrn 4y agoHeh, not necessarily, that's true, in the sense that all the possible arrangements haven't been tested and shown to be constructible. On the other hand, pseudo-still-life and quasi-still-life arrangements are much easier to construct on average than strict still lifes with the same number of cells. I think the consensus is that someone could figure out how to construct any given stable 21-bit configuration. The non-strict cases are just a bit too numerous and not interesting enough, so nobody has gone through and formally checked them off the list.