What about any live cell with more than *two* live neighbors dies (as an example of slightly more "social distancing" ? I seem to recall that Wolfram did a catalogue of a number of different variations; I don't recall if varying this rule was in his catalog. I could imagine different definitions of "neighborhood", different #'s of dimensions, non-orthogonal axes (e.g., hex), etc. In some of these variations, there may be zero 'nearest' neighbors, but the "interaction field" might extend a further distance. At 11:34 AM 5/10/2020, Cris Moore via math-fun wrote:
in fact, Life Without Death (i.e. Life but where nothing ever turns off) is a pretty fun CA rule, which can do a fair amount of computation: http://tuvalu.santafe.edu/~moore/pubs/griff.html
- cris
On May 10, 2020, at 12:30 PM, Tom Karzes <karzes@sonic.net> wrote: Well, you need *some* rule that kills off cells. Otherwise once a cell becomes live it remains live forever, so there would be no motion (e.g. gliders), only spreading.
Tom
Henry Baker writes:
According to wikipedia,
"3. Any live cell with more than three live neighbors dies, as if by overpopulation."
In retrospect, this appears to be a "social distancing" rule.
In various generalizations of "Life" -- e.g., with different sets of rules, on different grid patterns -- e.g., hex, etc. -- are there other interesting versions of "Life" with (and without) "social distancing" rules?