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|f            = 45
|f            = 45
|mcps        = 8
|mcps        = 8
|symmetry    = C1
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulemax      = B3/S23
|rulemax      = B3/S23
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|synthesis    = 3
|synthesis    = 3
|rle          = true
|rle          = true
|plaintext    = true
|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 with the proposed name "familiar fours", as all [[familiar fours]] appear somewhere within the evolutionary sequence,<ref name="post1010" /> but this name would have caused confusion with the actual familiar fours so it was not adopted.
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 ==
On [[Simon Ekström]]'s [[List of common evolutionary sequences]], the R-turner is less common than the [[U-turner]] and H' (generation 22 of the [[Herschel]]), but is more common than the original [[diehard]] and the object hassled in [[Jason's p22]]. More specifically, it appears 28314 times on the list, with a relative frequency of 0.046.
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]] at generation 48. At generation 92 an [[R-pentomino]] and another angel forms, causing the "direction" of the R-turner's evolution to reverse. The R-pentomino goes on, becoming a [[B-heptomino]] while its debris is tamed by the blinker. It stabilizes at generation 268, leaving behind 3 blinkers, 5 [[block]]s, 2 [[glider]]s, and a [[ship]].
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:


Line 36: Line 38:
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]].


==In conduits==
== Use in conduits ==
The R-turner has appeared as an intermediate in some [[conduit]]s, usually with an accompanying still life that it collides with (CBx37C, CL26R, HB56B). Some R-turner accepting conduits have been found, though not much has been done in exploring the R-turner's use as a conduit intermediate thus far.
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
|rle          = 5b2ob2o$6bob2o$6bo$5b2o7$b3o$3bo$ob2o$2o5b2o$7bobo$9bo$9b2o!
|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 an intermediate, here with CBx37C
|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 ==
{|
{|
|[[Image:r-turner_ash.png|center|thumb|300px|R-turner at generation 268]]
|[[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
Line 62: Line 72:
|p      = 1010
|p      = 1010
|title  = Help needed with synthesizing my methuselah
|title  = Help needed with synthesizing my methuselah
|author = Extrementhusiast
|author = Martin Grant
|date  = August 28, 2009
|date  = August 28, 2009
}}</ref>
}}</ref>
Line 69: Line 79:
|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 = hotdogPi
|author = David Raucci
|date  = July 2, 2021
|date  = July 2, 2021
}}</ref>
<ref name="post140075">{{LinkForumThread
|format = ref
|p      = 140075
|title  = Re: Random posts 2
|author = Lucy D'Agostino
|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
x = 5, y = 4, rule = B3/S23 2b2o$4bo$o2bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 48 ]]
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:

x = 4, y = 6, rule = B3/S23 b2o$2obo$3bo$3bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 WIDTH 600 THUMBSIZE 2 ZOOM 24 GPS 10 ]]
(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.

x = 11, y = 17, rule = B3/S23 5b2ob2o$6bob2o$6bo$5b2o7$b3o$3bo$ob2o$2o5b2o$7bobo$9bo$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ZOOM 18 GPS 10 STOP 15 ]]
an example of the R-turner as a conduit intermediate
(click above to open LifeViewer)
RLE: here Plaintext: here
2o$2o4$14b2o$16bo$12bo2bo$12b3o9$17b2o$17bo$18b3o$20bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 600 THUMBSIZE 2 ]]
an R-turner to R-pentomino conduit
(click above to open LifeViewer)

Images

R-turner at generation 268

See also

References

  1. ↑ David Raucci (July 2, 2021). Re: Thread For Your Naming Proposals of Unnamed Patterns (discussion thread) at the ConwayLife.com forums
  2. ↑ Martin Grant (August 28, 2009). Help needed with synthesizing my methuselah (discussion thread) at the ConwayLife.com forums
  3. ↑ simeks (December 28, 2016). Census of small evolving patterns (discussion thread) at the ConwayLife.com forums
  4. ↑ Lucy D'Agostino (January 10th, 2022). Re: Random posts 2 (discussion thread) at the ConwayLife.com forums
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