Difference between revisions of "Beluchenko's p37"

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m (People like the Tolkien plural for loaf more)
(Loaf Rock: Rock lying 3 mi W of Biscoe Point, off the SW coast of Anvers Island in the Palmer Archipelago. Surveyed by the British Naval Hydrographic Survey Unit in 1956-57. So named by the UK Antarctic Place-names Committee (UK-APC) in 1958 because the rock is shaped like a flat loaf of bread. https://web.archive.org/web/20210602222037/https://geonames.usgs.gov/apex/f?p=gnispq:5:::NO::P5_ANTAR_ID:8947)
 
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|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B38/S2378
|rulemax          = B38/S2378
|rulespecial      = [[Conway's Game of Life|Conway's Life]]
|isorulemin      = B3/S23
|isorulemin      = B3/S23
|isorulemax      = B34c6c7c8/S234ce5er6ein78
|isorulemax      = B34c6c7c8/S234ce5er6ein78
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
|plaintext        = true
|synthesis        = 72
|synthesis        = 76
|synthesisRLE    = true
|synthesisRLE    = true
|apgcode          = xp37_y2gy033y733y0gzy02543y130aic0cia03y13452z66x88yj88x66zy23kl2yd2lk3zggx8b021yd120b8xggz11xggy484o0o48y4ggx11zy01243y13011x1103y13421zy733y733
|apgcode          = xp37_y2gy033y733y0gzy02543y130aic0cia03y13452z66x88yj88x66zy23kl2yd2lk3zggx8b021yd120b8xggz11xggy484o0o48y4ggx11zy01243y13011x1103y13421zy733y733
|pentadecathlonid = 124P37.1
|pentadecathlonid = 124P37.1
|animated        = yes
|animated        = yes
|viewerconfig    = #C [[ LOOP 37 GPS 18 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
|viewerconfig    = #C [[ LOOP 37 GPS 12 THUMBSIZE 3 ZOOM 15 WIDTH 610 HEIGHT 610 ]]
}}
}}
'''Beluchenko's p37''' is a [[period]] [[:Category:Oscillators with period 37|37]] [[oscillator]] consisting of 4 [[loaf|loaves]] and 8 blocks hassling 8 [[R-pentomino]]es. It was the first period 37 oscillator to be found, and was discovered by [[Nicolay Beluchenko]] on April 14, [[:Category:Patterns found in 2009|2009]].<ref>{{citeSummersPattern|name=all-osc|accessdate=December 15, 2009}}</ref> It was the only known unique period 37 oscillator until the discovery of [[132P37]] in March [[:Category:patterns found in 2010|2010]]. In terms of its [[:Category:patterns with 124 cells|124]] [[cell]]s, it currently smallest known period 37 oscillator. [[Adam P. Goucher]] noticed that two of these oscillators could interact non-trivially by hassling a [[beehive]] and a [[block]].
'''Beluchenko's p37''' (124P37) is a {{period|37}} [[oscillator]] consisting of 4 [[rock]] [[loaf|loaves]] and 8 [[block]]s hassling 8 [[R-pentomino]]es. It was the first period 37 oscillator to be found, and was discovered by [[Nicolay Beluchenko]] on April 14, {{year|2009}}.<ref>{{citeSummersPattern|name=all-osc|accessdate=December 15, 2009}}</ref> It was the only known unique period 37 oscillator until the discovery of [[132P37]] in March {{year|2010}} and was one of only two known before the discovery of [[58P37]] in {{year|2022}}. In terms of its {{cells|124|text=124 cells}}, it was also formerly the smallest known period 37 oscillator. [[Adam P. Goucher]] noticed that two of these oscillators could interact non-trivially by hassling a [[beehive]] and a [[block]].
 
This oscillator first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18222" />
About 1 in 7.6 billion eightfold symmetric soups with odd symmetry (D8_1) form a Beluchenko's p37. About 60% of them form as shown in the infobox, while almost all the rest form with ponds instead of loaves.
 
[[Matthias Merzenich]] found a 76-glider [[synthesis]] for this oscillator on July 12, 2009,<ref name="post710" /> and improved it to {{gliders|72|text=72 gliders}} on September 9, 2013.<ref name="post8966" />


==Image gallery==
==Gallery==
{|
{|style="margin:auto;width:300px;"
|-
|{{EmbedViewer
|[[Image:p37interaction.png|framed|left|Two copies of 124P37 hassling a beehive and a block<br/>{{JavaRLE|p37interaction}}]]
|pname        = beluchenkosp37shasslingbeehiveandblock
|viewerconfig = #C [[ GPS 18 THUMBSIZE 2 ZOOM 8 HEIGHT 550 WIDTH 620 AUTOSTART ]]
|position    = center
|caption      = Two copies of 124P37 hassling a beehive and a block
}}
|}
|}


==Also see==
==See also==
* [[Beluchenko's p51]]
* [[Beluchenko's p51]]
* [[Beluchenko's other p37]]


==References==
==References==
<references />
<references>
<ref name="post710">{{LinkForumThread
|format = ref
|title  = Glider syntheses
|p      = 710
|author = Matthias Merzenich
|date  = July 12, 2009
}}</ref>
<ref name="post8966">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 8966
|author = Matthias Merzenich
|date  = September 9, 2013
}}</ref>
<ref name="post18222">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 18222
|author = gameoflifeboy
|date  = March 24, 2015
}}</ref>
</references>


==External links==
==External links==
{{LinkLexicon|lex_b.htm#beluchenkosp37}}
* {{LinkLexicon|lex_b.htm#beluchenkosp37}}
{{LinkCatagolue|xp37_y2gy033y733y0gzy02543y130aic0cia03y13452z66x88yj88x66zy23kl2yd2lk3zggx8b021yd120b8xggz11xggy484o0o48y4ggx11zy01243y13011x1103y13421zy733y733|patternname=Beluchenko's p37}}
* {{LinkCatagolue|xp37_y2gy033y733y0gzy02543y130aic0cia03y13452z66x88yj88x66zy23kl2yd2lk3zggx8b021yd120b8xggz11xggy484o0o48y4ggx11zy01243y13011x1103y13421zy733y733|patternname=Beluchenko's p37}}
{{LinkPentadecathlonObject|124P37.1}}
* [https://catagolue.hatsya.com/census/b3s23/D8_1/xp37 All natural stator variants of Beluchenko's p37 (Catagolue)]
*[http://pentadecathlon.com/lifeNews/2009/04/new_oscillators_5.html New Oscillators] at Game of Life News
* {{LinkPentadecathlonObject|124P37.1}}
* {{LinkGoLNews|2009/04/new_oscillators_5.html|title=New Oscillators|date=April 14, 2009|author=Heinrich Koenig}}


{{Symmetry|full}}
{{Symmetry|full}}
{{seminatural}}
{{seminatural}}
[[Category:R-pentomino hasslers|037]]
__NOTOC__
__NOTOC__

Latest revision as of 08:32, 17 October 2023

Beluchenko's p37
#N 124P37 #O Nicolay Beluchenko #C The first period 37 oscillator to be found. Discovered in April 2009. #C www.conwaylife.com/wiki/index.php?title=124P37 x = 37, y = 37, rule = 23/3 11b2o11b2o11b$11b2o11b2o11b3$6bo23bo6b$5bobo5bo9bo5bobo5b$4bo2bo5bob2o 3b2obo5bo2bo4b$5b2o10bobo10b2o5b$15bobobobo15b$16bo3bo16b2$2o33b2o$2o 33b2o$5b2o23b2o5b2$6bobo19bobo6b$6bo2bo17bo2bo6b$7b2o19b2o7b2$7b2o19b 2o7b$6bo2bo17bo2bo6b$6bobo19bobo6b2$5b2o23b2o5b$2o33b2o$2o33b2o2$16bo 3bo16b$15bobobobo15b$5b2o10bobo10b2o5b$4bo2bo5bob2o3b2obo5bo2bo4b$5bob o5bo9bo5bobo5b$6bo23bo6b3$11b2o11b2o11b$11b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 37 GPS 12 THUMBSIZE 3 ZOOM 15 WIDTH 610 HEIGHT 610 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 124
Bounding box 37 × 37
Period 37
Mod 37
Heat 94.3
Volatility 0.94
Strict volatility 0.94
Discovered by Nicolay Beluchenko
Year of discovery 2009

Beluchenko's p37 (124P37) is a period-37 oscillator consisting of 4 rock loaves and 8 blocks hassling 8 R-pentominoes. It was the first period 37 oscillator to be found, and was discovered by Nicolay Beluchenko on April 14, 2009.[1] It was the only known unique period 37 oscillator until the discovery of 132P37 in March 2010 and was one of only two known before the discovery of 58P37 in 2022. In terms of its 124 cells, it was also formerly the smallest known period 37 oscillator. Adam P. Goucher noticed that two of these oscillators could interact non-trivially by hassling a beehive and a block.

This oscillator first appeared on Catagolue in March 2015.[2] About 1 in 7.6 billion eightfold symmetric soups with odd symmetry (D8_1) form a Beluchenko's p37. About 60% of them form as shown in the infobox, while almost all the rest form with ponds instead of loaves.

Matthias Merzenich found a 76-glider synthesis for this oscillator on July 12, 2009,[3] and improved it to 72 gliders on September 9, 2013.[4]

Gallery

x = 72, y = 44, rule = b3/s23 46b2o11b2o11b$46b2o11b2o11b3$41bo4b3o9b3o4bo6b$40bobo3bobo9bobo3bobo5b $39bo2bo21bo2bo4b$11b2o11b2o14b2o5bo2b2o3b2o2bo5b2o5b$11b2o11b2o25bo3b o16b$47bo3bo3bo3bo12b$48bo9bo13b$6bo23bo4b2o2b2o25b2o2b2o$5bobo4bo11bo 4bobo3b2o2bo2bobo17bobo2bo2b2o$4bo2bo4b2o9b2o4bo2bo6b2o4bo15bo4b2o4b$ 5b2o23b2o40b$13bo2bo3bo2bo18bo21bo7b$13bo2bo3bo2bo18b3o17b3o7b$14b3o3b 3o49b$2o33b2o35b$2o3b2o23b2o2bo2bo34b$6bob2o17b2obo4b2o5b3o17b3o7b$10b o15bo15bo21bo7b$10bo15bo45b$8b3o15b3o10b2o4bo15bo4b2o4b$35b2o2bo2bobo 17bobo2bo2b2o$35b2o2b2o25b2o2b2o$48bo9bo13b$8b3o15b3o18bo3bo3bo3bo12b$ 10bo15bo24bo3bo16b$10bo15bo13b2o5bo2b2o3b2o2bo5b2o5b$6bob2o17b2obo8bo 2bo21bo2bo4b$2o3b2o23b2o3b2o3bobo3bobo9bobo3bobo5b$2o33b2o4bo4b3o9b3o 4bo6b$14b3o3b3o49b$13bo2bo3bo2bo48b$13bo2bo3bo2bo22b2o11b2o11b$5b2o23b 2o14b2o11b2o11b$4bo2bo4b2o9b2o4bo2bo39b$5bobo4bo11bo4bobo40b$6bo23bo 41b3$11b2o11b2o46b$11b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 18 THUMBSIZE 2 ZOOM 8 HEIGHT 550 WIDTH 620 AUTOSTART ]]
Two copies of 124P37 hassling a beehive and a block
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. ↑ Jason Summers' all-osc pattern collection. Retrieved on December 15, 2009.
  2. ↑ gameoflifeboy (March 24, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. ↑ Matthias Merzenich (July 12, 2009). Glider syntheses (discussion thread) at the ConwayLife.com forums
  4. ↑ Matthias Merzenich (September 9, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Beluchenko%27s_p37&oldid=138786"