Quadratic replicator: Difference between revisions
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{{Glossary}} | {{Glossary}} | ||
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 | 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 until late 2021, 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 2-state range-1 [[Moore neighborhood]] CA rule, either isotropic or anisotropic (excluding rules that include birth with zero neighbors). | 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). | ||
==DOGun SaGaQR== | |||
On November 29, 2021<!--UTC-->, Pavgran found a quadratic replicator that is significantly smaller than the 0E0P metacell, although it is still quite large. It can run in Golly with 30 GB of memory. The repeat time is 3×2<sup>23</sup>.<ref name="post138191"/> | |||
==References== | |||
<references> | |||
<ref name="post138191">{{LinkForumThread | |||
|format = ref | |||
|title = Meet DOGun SaGaQR! | |||
|p = 138191 | |||
|author = Pavgran | |||
|date = November 29, 2021 | |||
}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
{{LinkLexicon|lex_q.htm#quadraticreplicator}} | {{LinkLexicon|lex_q.htm#quadraticreplicator}} | ||
Revision as of 17:16, 5 January 2022
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 until late 2021, 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).
DOGun SaGaQR
On November 29, 2021, Pavgran found a quadratic replicator that is significantly smaller than the 0E0P metacell, although it is still quite large. It can run in Golly with 30 GB of memory. The repeat time is 3×223.[1]
References
- ↑ Pavgran (November 29, 2021). Meet DOGun SaGaQR! (discussion thread) at the ConwayLife.com forums
External links
- Quadratic replicator at the Life Lexicon