R-turner: Difference between revisions
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|mcps = 8 | |mcps = 8 | ||
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|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 48 ]] | |viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 48 ]] | ||
}} | }} | ||
The '''R-turner''' is an evolutionary sequence in [[Conway's Game of Life]]. Its name was proposed by [[David Raucci]] on July 2nd, 2021.<ref name="post132936" /> An early post on the forums by Extrementhusiast from 2009 recognized it as a methuselah | The '''R-turner''' is an evolutionary sequence in [[Conway's Game of Life]]. Its name was proposed by [[David Raucci]] on July 2nd, {{year|2021}}.<ref name="post132936" /> An early post on the ConwayLife forums by [[Extrementhusiast]] from {{year|2009}} recognized it as a methuselah,<ref name="post1010" /> but it wasn't until mid-to-late 2021 that it started to get significant attention. | ||
==Commonness== | == Commonness == | ||
According to [[Simon Ekström]]'s census of small evolving patterns,<ref name="post38773" /> the R-turner is the 18th most common qualifying sequence, appearing 28314 times with a relative frequency of 0.046. This makes it less common than the [[U-turner]] and H' (generation 22 of the [[Herschel]]), but more common than the original [[diehard]] and the object hassled in [[Jason's p22]]. | |||
==Evolution== | == Evolution == | ||
Initially, the R-turner moves like the [[Dove]], spreading out in a southwest direction, leaving behind an [[angel]] at generation 44 that evolves into a blinker | Initially, the R-turner moves like the [[Dove]], spreading out in a southwest direction before moving downward, leaving behind an [[angel]] at generation 44 that evolves into a blinker. At generation 92 an [[R-pentomino]] and another angel forms. The R-pentomino evolves, becoming a [[B-heptomino]] and some debris that is tamed by the blinker left by the second angel. It stabilizes at generation 268, leaving behind 3 [[blinker]]s, 5 [[block]]s, 2 [[glider]]s, and a [[ship]]. | ||
==="R-turner without its first blinker"=== | === "R-turner without its first blinker" === | ||
"R-turner without its first blinker" refers to the following pattern, which appears at generation 64 of the R-turner's evolution: | "R-turner without its first blinker" refers to the following pattern, which appears at generation 64 of the R-turner's evolution: | ||
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It evolves into a [[LoM]] that is quickly perturbed by a [[banana spark]], which becomes an R-pentomino and an angel, ultimately stabilizing at generation 204. Although most of them form via R-turners, it can form in other ways, such as in [[112P57]] and in the [[p60 B-heptomino hassler]]. | It evolves into a [[LoM]] that is quickly perturbed by a [[banana spark]], which becomes an R-pentomino and an angel, ultimately stabilizing at generation 204. Although most of them form via R-turners, it can form in other ways, such as in [[112P57]] and in the [[p60 B-heptomino hassler]]. | ||
== | == Use in conduits == | ||
The R-turner has appeared as an intermediate in some [[conduit]]s, usually | The R-turner has appeared as an intermediate in some [[conduit]]s, usually alongside a still life that it collides with ([[CBx37C]], CL26R, HB56B). Some R-turner accepting conduits have been found,<ref name="post140075" /> though little has been done overall in exploring the R-turner's usefulness in conduits thus far. | ||
{{EmbedViewer | {{EmbedViewer | ||
| | |pname = cbx37cconduit | ||
|viewerconfig = #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 18 GPS 10 STOP 15 ]] | |viewerconfig = #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 18 GPS 10 STOP 15 ]] | ||
|position = center | |position = center | ||
|caption = an example of the R-turner as | |caption = an example of the R-turner as a conduit intermediate | ||
|style = width:300px; | |style = width:300px; | ||
}} | }} | ||
==Images== | {{EmbedViewer | ||
|rle = 2o$2o4$14b2o$16bo$12bo2bo$12b3o9$17b2o$17bo$18b3o$20bo! | |||
|viewerconfig = #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ]] | |||
|position = center | |||
|caption = an R-turner to R-pentomino conduit | |||
|style = width:300px; | |||
}} | |||
== Images == | |||
{| | {| | ||
|[[ | |[[File:R-turner ash.png|thumb|center|300px|R-turner at generation 268]] | ||
|} | |} | ||
==See also== | == See also == | ||
* [[List of common evolutionary sequences]] | * [[List of common evolutionary sequences]] | ||
* [[U-turner]] | * [[U-turner]] | ||
==References== | == References == | ||
<references> | <references> | ||
<ref name="post1010">{{LinkForumThread | <ref name="post1010">{{LinkForumThread | ||
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|p = 1010 | |p = 1010 | ||
|title = Help needed with synthesizing my methuselah | |title = Help needed with synthesizing my methuselah | ||
|author = | |author = Martin Grant | ||
|date = August 28, 2009 | |date = August 28, 2009 | ||
}}</ref> | }}</ref> | ||
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|p = 132936 | |p = 132936 | ||
|title = Re: Thread For Your Naming Proposals of Unnamed Patterns | |title = Re: Thread For Your Naming Proposals of Unnamed Patterns | ||
|author = | |author = David Raucci | ||
|date = July 2, 2021 | |date = July 2, 2021 | ||
}}</ref> | }}</ref> | ||
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|p = 140075 | |p = 140075 | ||
|title = Re: Random posts 2 | |title = Re: Random posts 2 | ||
|author = | |author = Lucy D'Agostino | ||
|date = January 10th, 2022 | |date = January 10th, 2022 | ||
}}</ref> | |||
<ref name="post38773">{{LinkForumThread | |||
|format = ref | |||
|title = Census of small evolving patterns | |||
|p = 38773 | |||
|author = simeks | |||
|date = December 28, 2016 | |||
}}</ref> | }}</ref> | ||
</references> | </references> | ||
Latest revision as of 08:55, 29 March 2025
| R-turner | |||||||||
| View static image | |||||||||
| Pattern type | Methuselah | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 8 | ||||||||
| Bounding box | 5 × 4 | ||||||||
| MCPS | 8 | ||||||||
| Lifespan | 268 generations | ||||||||
| Final population | 45 | ||||||||
| L/I | 33.5 | ||||||||
| F/I | 5.6 | ||||||||
| F/L | 0.168 | ||||||||
| L/MCPS | 33.5 | ||||||||
| Static symmetry | C1 | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
| |||||||||
| |||||||||
| |||||||||
The R-turner is an evolutionary sequence in Conway's Game of Life. Its name was proposed by David Raucci on July 2nd, 2021.[1] An early post on the ConwayLife forums by Extrementhusiast from 2009 recognized it as a methuselah,[2] but it wasn't until mid-to-late 2021 that it started to get significant attention.
Commonness
According to Simon Ekström's census of small evolving patterns,[3] the R-turner is the 18th most common qualifying sequence, appearing 28314 times with a relative frequency of 0.046. This makes it less common than the U-turner and H' (generation 22 of the Herschel), but more common than the original diehard and the object hassled in Jason's p22.
Evolution
Initially, the R-turner moves like the Dove, spreading out in a southwest direction before moving downward, leaving behind an angel at generation 44 that evolves into a blinker. At generation 92 an R-pentomino and another angel forms. The R-pentomino evolves, becoming a B-heptomino and some debris that is tamed by the blinker left by the second angel. It stabilizes at generation 268, leaving behind 3 blinkers, 5 blocks, 2 gliders, and a ship.
"R-turner without its first blinker"
"R-turner without its first blinker" refers to the following pattern, which appears at generation 64 of the R-turner's evolution:
| (click above to open LifeViewer) RLE: here Plaintext: here |
It evolves into a LoM that is quickly perturbed by a banana spark, which becomes an R-pentomino and an angel, ultimately stabilizing at generation 204. Although most of them form via R-turners, it can form in other ways, such as in 112P57 and in the p60 B-heptomino hassler.
Use in conduits
The R-turner has appeared as an intermediate in some conduits, usually alongside a still life that it collides with (CBx37C, CL26R, HB56B). Some R-turner accepting conduits have been found,[4] though little has been done overall in exploring the R-turner's usefulness in conduits thus far.
| an example of the R-turner as a conduit intermediate (click above to open LifeViewer) RLE: here Plaintext: here |
| an R-turner to R-pentomino conduit (click above to open LifeViewer) |
Images
 |
See also
References
- ↑ David Raucci (July 2, 2021). Re: Thread For Your Naming Proposals of Unnamed Patterns (discussion thread) at the ConwayLife.com forums
- ↑ Martin Grant (August 28, 2009). Help needed with synthesizing my methuselah (discussion thread) at the ConwayLife.com forums
- ↑ simeks (December 28, 2016). Census of small evolving patterns (discussion thread) at the ConwayLife.com forums
- ↑ Lucy D'Agostino (January 10th, 2022). Re: Random posts 2 (discussion thread) at the ConwayLife.com forums