Replicator: Difference between revisions

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Replicators occur naturally in some [[cellular automata]]. The best-known example is the replicator in [[HighLife]] (B36/S23). In the [[Replicator (CA)|Replicator]] rule (B1357/S1357) and [[Replicator 2]] rule (B1357/S02468), every pattern is a replicator. A single alive [[cell]] is a replicator in many B1 rules, including [[Gnarl]] (B1/S1).
Replicators occur naturally in some [[cellular automata]]. The best-known example is the replicator in [[HighLife]] (B36/S23). In the [[Replicator (CA)|Replicator]] rule (B1357/S1357) and [[Replicator 2]] rule (B1357/S02468), every pattern is a replicator. A single alive [[cell]] is a replicator in many B1 rules, including [[Gnarl]] (B1/S1).


There exists a replicator in any cellular automaton with a [[universal constructor]]. Therefore Life, which has a universal constructor, has replicators. A similar situation occurs for the rule [[B36/S235]].
There exists a replicator in any cellular automaton with a [[universal constructor]]. Therefore it had been known, that Life, which has a universal constructor, had replicators, before Dave Greene found an explicit example on November 23, 2013.<ref>{{Cite web|url=http://www.conwaylife.com/forums/viewtopic.php?f=2&t=1006&p=9901#p9901|title=Re: Geminoid Challenge|author=Dave Greene|date=November 23, 2013|accessdate=November 24, 2013}}</ref>
 
A universal constructor is known to exist also for [[B36/S235]].
 
==See Also==
* [[Gemini]]
 
==References==
<references/>


==External Links==
==External Links==
{{LinkWeisstein|Replicator.html}}
{{LinkWeisstein|Replicator.html}}
{{LinkLexicon|lex_r.htm#replicator}}
{{LinkLexicon|lex_r.htm#replicator}}

Revision as of 14:47, 24 November 2013

Replicator in HighLife
RLE: here

A replicator is any pattern that produces copies of itself.

Replicators occur naturally in some cellular automata. The best-known example is the replicator in HighLife (B36/S23). In the Replicator rule (B1357/S1357) and Replicator 2 rule (B1357/S02468), every pattern is a replicator. A single alive cell is a replicator in many B1 rules, including Gnarl (B1/S1).

There exists a replicator in any cellular automaton with a universal constructor. Therefore it had been known, that Life, which has a universal constructor, had replicators, before Dave Greene found an explicit example on November 23, 2013.[1]

A universal constructor is known to exist also for B36/S235.

See Also

References

  1. ↑ Dave Greene (November 23, 2013). "Re: Geminoid Challenge". Retrieved on November 24, 2013.

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