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LongLife rule
Rulestring 5/345
Rule integer 16440
Character Stable
Black/white reversal B01245678/S012678

LongLife (also Long Life) is a Life-like cellular automaton in which cells survive from one generation to the next if they have 5 neighbours, and are born if they have 3, 4, or 5 neighbours. The rule has been studied by Andrew Trevorrow.

LongLife is characterized by abundant natural high-period oscillators, composed of alternating rows, that appear to be unable to escape their bounding diamond. There are no known spaceships in LongLife, but the rule is on David Eppstein's "most-wanted" list.[1]

The "White Whale", an example of a period-160,000,346 oscillator in LongLife given by Andrew Trevorrow.


  1. David Eppstein. "Most Wanted". Which "Life"-Like Systems Have Gliders?. Retrieved on 2016-09-29.

External links

  • LongLife at Adam P. Goucher's Catagolue
  • LongLife at David Eppstein's Glider Database