Endemic

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An object is said to be endemic to a rule if it can only exist in that rule, i.e. if no change in the rule's birth and survival conditions supports the object.[1] The term is understood to be relative to a certain class of cellular automata, e.g. outer-totalistic Life-like cellular automata or isotropic non-totalistic cellular automata.

The only rule in which isotropically-endemic still lifes can exist is the identity function (namely B/S012345678), and such patterns' evolution in one iteration uniquely determines the rule being simulated. The smallest such pattern known is 77 cells.[2]

See also

References

  1. Rhombic (November 18, 2017). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
  2. toroidalet (December 26, 2023). Re: Endemic periodic patterns and still lifes (discussion thread) at the ConwayLife.com forums

External links