Self-complementary: Difference between revisions
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==Examples== | ==Examples== | ||
{{Main|List of self-complementary rules}} | <!-- {{Main|List of self-complementary rules}} ---> | ||
The most well-known and well-investigated self-complementary rule is [[Day & Night]] (B3678/S34678). | The most well-known and well-investigated self-complementary rule is [[Day & Night]] (B3678/S34678). | ||
Revision as of 21:51, 1 July 2016
A (totalistic) rule is said to be self-complementary if it remains unchanged under black/white reversal, i.e. if a pattern composed of live cells in a dead universe behaves the same as an equivalent pattern composed of dead cells in a live universe.
A self-complementary rule's birth conditions completely determine its survival conditions, and vice versa, but no other constraints exist; as such there are 29 = 512 distinct self-complementary totalistic rules.
Examples
The most well-known and well-investigated self-complementary rule is Day & Night (B3678/S34678).