Quadratic replicator: Difference between revisions
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A '''quadratic replicator''' is any pattern that fills all or part of the Life plane by making copies of itself in a nonlinear way. Small quadratic replicators are known in other [[semi-totalistic|Life-like]] rules, but as of 2020 no small example has been found in Conway's Life. | A '''quadratic replicator''' is any pattern that fills all or part of the Life plane by making copies of itself in a nonlinear way. Small quadratic replicators are known in other [[semi-totalistic|Life-like]] rules, but as of 2020 no small example has been found in Conway's Life. | ||
In {{year|2018}} [[Adam P. Goucher]] completed the [[0E0P metacell]], a very large engineered pattern that is capable of quadratic growth along with many other growth rates, via its ability to emulate arbitrary patterns in any range- | In {{year|2018}} [[Adam P. Goucher]] completed the [[0E0P metacell]], a very large engineered pattern that is capable of quadratic growth along with many other growth rates, via its ability to emulate arbitrary patterns in any 2-state range-1 [[Moore neighborhood]] CA rule, either isotropic or anisotropic (excluding rules that include birth with zero neighbors). | ||
==External links== | ==External links== | ||
{{LinkLexicon|lex_q.htm#quadraticreplicator}} | {{LinkLexicon|lex_q.htm#quadraticreplicator}} | ||
Revision as of 18:53, 24 July 2020
A quadratic replicator is any pattern that fills all or part of the Life plane by making copies of itself in a nonlinear way. Small quadratic replicators are known in other Life-like rules, but as of 2020 no small example has been found in Conway's Life.
In 2018 Adam P. Goucher completed the 0E0P metacell, a very large engineered pattern that is capable of quadratic growth along with many other growth rates, via its ability to emulate arbitrary patterns in any 2-state range-1 Moore neighborhood CA rule, either isotropic or anisotropic (excluding rules that include birth with zero neighbors).
External links
- Quadratic replicator at the Life Lexicon