Difference between revisions of "Beluchenko's p51"

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{{Oscillator
{{Oscillator
|name            = 112P51
|name            = Beluchenko's p51
|pname            = 112p51
|pname            = beluchenkosp51
|c                = 112
|c                = 112
|bx              = 41
|bx              = 41
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|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B38/S23
|rulemax          = B38/S23
|synthesis        = 76
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3/S23
|isorulemax      = B38/S234c6i
|synthesis        = 43
|synthesisRLE    = true
|synthesisRLE    = true
|life105          = true
|life106          = true
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
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|viewerconfig    = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
|viewerconfig    = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
}}
}}
'''Beluchenko's p51''', also called '''112P51''', is a [[period]]-[[:Category:Oscillators with period 51|51]] [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, [[:Category:Patterns found in 2009|2009]].<ref>{{CiteHickersonOscillators}}</ref> It was the first non-trivial period-51 oscillator to be found, all previously known period-51 oscillators being made up of disjoint period-[[:Category:Oscillators with period 3|3]] and period-[[:Category:Oscillators with period 17|17]] oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below.
'''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref>{{CiteHickersonOscillators}}</ref> It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period {{period|3|brief}} and period {{period|17|brief}} oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below.
 
A {{gliders|76}} [[synthesis]] of this oscillator was found by Jason Summers and Matthias Merzenich in April {{year|2010}}.<ref>{{CiteSummersPattern|name=jslife|accessdate=January 5, 2020}}</ref> This was improved to {{gliders|43|brief}} gliders by [[Chris Cain]] on January 5, {{year|2020}}.<ref name="post86974" />


==Image gallery==
==Image gallery==
{|
{|
|-
|-
|[[Image:112p51extended.png|framed|left|An extension of 112P51<br />{{JavaRLE|112p51extended|brief}}]]
|[[Image:beluchenkosp51extended.png|framed|left|An extension of this oscillator<br />{{JavaRLE|beluchenkosp51extended|brief}}]]
|}
|}


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==References==
==References==
<references />
<references>
<ref name="post86974">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 86974
|author = Chris Cain
|date  = January 5, 2020
}}</ref>
</references>


==External links==
==External links==
{{LinkLexicon|lex_b.htm#beluchenkosp51}}
{{LinkLexicon|lex_b.htm#beluchenkosp51}}
{{LinkCatagolue|xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11|patternname=Beluchenko's p51}}
{{LinkCatagolue|xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11|patternname=Beluchenko's p51}}
{{LinkPentadecathlonObject|112P51.1}}
* "[http://pentadecathlon.com/lifeNews/2009/03/new_oscillators_4.html New Oscillators]" at Game of Life News
* "[http://pentadecathlon.com/lifeNews/2009/03/new_oscillators_4.html New Oscillators]" at Game of Life News


{{Symmetry|full}}
{{Symmetry|full}}
{{seminatural}}
__NOTOC__
__NOTOC__

Revision as of 16:52, 5 January 2020

Beluchenko's p51
x = 31, y = 31, rule = B3/S23 3b2o21b2o$3b2o21b2o2$2o27b2o$2o5bo2b3o5b3o2bo5b2o$6b3ob3o5b3ob3o$5bo2bo13bo2b o$4b2o19b2o$5b2o17b2o2$4b2o19b2o$4b2o19b2o$4b2o19b2o6$4b2o19b2o$4b2o19b2o$4b 2o19b2o2$5b2o17b2o$4b2o19b2o$5bo2bo13bo2bo$6b3ob3o5b3ob3o$2o5bo2b3o5b3o2bo5b 2o$2o27b2o2$3b2o21b2o$3b2o21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 112
Bounding box 41 × 41
Period 51
Mod 51
Heat 154.0
Volatility 0.98
Strict volatility 0.98
Discovered by Nicolay Beluchenko
Year of discovery 2009

Beluchenko's p51 (or 112P51) is a period-51 oscillator that was discovered by Nicolay Beluchenko on February 17, 2009.[1] It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period 3 and period 17 oscillators. It can be extended diagonally by making copies of itself share two blocks as shown below.

A 76-glider synthesis of this oscillator was found by Jason Summers and Matthias Merzenich in April 2010.[2] This was improved to 43 gliders by Chris Cain on January 5, 2020.[3]

Image gallery

An extension of this oscillator
RLE: here

Also see

References

  1. ↑ Dean Hickerson's oscillator stamp collection.
  2. ↑ Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
  3. ↑ Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Beluchenko%27s_p51&oldid=67872"