Replicator: Difference between revisions

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A '''replicator''' is any pattern that produces copies of itself.
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 (CA)|Replicator]] rule (B1357/S1357), every pattern is a replicator. A single alive [[cell]] is a replicator in [[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. No concrete examples are known, however. A similar situation occurs for the rule [[B36/S235]].
There exists a replicator in any cellular automaton with a [[universal constructor]]. Therefore Life, which has a universal constructor, has replicators. No concrete examples are known, however. A similar situation occurs for the rule [[B36/S235]].

Revision as of 05:31, 17 February 2010

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 Life, which has a universal constructor, has replicators. No concrete examples are known, however. A similar situation occurs for the rule B36/S235.

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