Replicator (cellular automaton)

In cellular automata, a replicator is a pattern that produces copies of itself.

The evolution of the replicator in Highlife.

In the one-dimensional Rule 90 cellular automaton, every pattern is a replicator.[1] The same is true in the life-like cellular automaton rule Replicator (B1357/S1357).[2][3]

Highlife (B36/S23) rule has a simple replicator.[2]

On November 23, 2013, Dave Greene built the first pattern that "replicates" itself in Conway's Game of Life (B3/S23); however, this pattern is not considered a replicator, as the parent pattern is destroyed in the process of replication. Thus, the pattern is better referred to as a "linear propagator", or spaceship. [4]

References
  1. Waksman, Abraham (1969), "A model of replication", Journal of the ACM, 16 (1): 178–188, doi:10.1145/321495.321509
  2. Wójtowicz, Mirek, Cellular Automaton Rules Lexicon — Family: Life, Mirek's Cellebration.
  3. Wuensche, Andrew (2011), "16.10 The game-of-Life and other Life-like rules – rcode", Exploring Discrete Dynamics: The DDLAB manual, Luniver Press, pp. 145–146, ISBN 978-1-905986-31-6.
  4. "Geminoid Challenge". Conwaylife.com. Retrieved 2015-06-25.
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