Difference between revisions of "Beluchenko's p51"

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{{Oscillator|name=112P51|pname=112p51|p=51|bx=41|by=41|h=154.0|c=112|discoverer=Nicolay Beluchenko|discoveryear=2009|synthesis=76|synthesisRLE=true|animated=true|life105=true|life106=true|plaintext=true|rle=true|v=0.98}}
{{Oscillator
'''112P51''' is an unnamed [[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.
|name             = Beluchenko's p51
|pname           = beluchenkosp51
|c                = 112
|bx               = 41
|by               = 41
|p                = 51
|m                = 51
|h               = 154.0
|v                = 0.98
|sv              = 0.98
|discoverer       = Nicolay Beluchenko
|discoveryear     = 2009
|rulemin          = B3/S23
|rulemax          = B38/S23
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3/S23
|isorulemax      = B38/S234c6i
|synthesis       = 43
|synthesisRLE     = true
|plaintext        = true
|rle              = true
|apgcode          = xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11
|niemiecid        = 112p51-1
|pentadecathlonid = 112P51.1
|animated        = true
|viewerconfig    = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
}}
'''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref name="jslife">{{CiteSummersPattern|name=jslife|accessdate=January 5, 2020}}</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|3}} and {{period|17}} oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below.


==Image gallery==
Beluchenko's p51 first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18307" />
{|
About 1 in 2.9 billion eightfold symmetric soups with odd symmetry (D8_1) form a Beluchenko's p51.
 
A 76-glider [[synthesis]] of this oscillator was found by [[Jason Summers]] and [[Matthias Merzenich]] on April 20, {{year|2010}}.<ref name="post2195" /> This was improved to {{gliders|43|text=43 gliders}} by [[Chris Cain]] on January 5, {{year|2020}}.<ref name="post86974" />
 
On November 8, {{year|2018}}, [[2718281828]] found that two p51s can hassle a beehive, creating a p102.<ref name="post65484" />
 
==Gallery==
{|style="margin:auto;width:360px;"
|-
|-
|[[Image:112p51extended.png|framed|left|An extension of 112P51<br />{{JavaRLE|112p51extended|brief}}]]
|{{EmbedViewer
|pname = beluchenkosp51extended
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 AUTOSTART GPS 25 ZOOM 5 HEIGHT 400 ]]
|caption      = An extension of this oscillator
}}
|-
|{{EmbedViewer
|pname = two112p51hasslesahive
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 AUTOSTART GPS 25 ZOOM 5 HEIGHT 400 ]]
|caption      = Two of these oscillators hassling a beehive
}}
|}
|}
==See also==
* [[Beluchenko's p37]]


==References==
==References==
<references />
<references>
<ref name="post2195">{{LinkForumThread
|format = ref
|title  = Re: Glider synthesis discussion
|p      = 2195
|author = Matthias Merzenich
|date  = April 20, 2010
}}</ref>
<ref name="post86974">{{LinkForumThread
|format = ref
|title  = Re: Synthesising Oscillators
|p      = 86974
|author = Chris Cain
|date  = January 5, 2020
}}</ref>
<ref name="post18307">{{LinkForumThread
|format = ref
|title  = Re: Soup search results
|p      = 18307
|author = Richard Schank
|date  = March 27, 2015
}}</ref>
<ref name="post65484">
{{LinkForumThread
|format = ref
|title  = Re: Oscillator Discussion Thread
|p      = 65484
|author = 2718281828
|date  = November 8, 2018
}}</ref>
</references>


==External links==
==External links==
"[http://pentadecathlon.com/lifeNews/2009/03/new_oscillators_4.html New Oscillators]" at Game of Life News
* {{LinkLexicon|lex_b.htm#beluchenkosp51}}
* {{LinkCatagolue|xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11|patternname=Beluchenko's p51}}
* {{LinkPentadecathlonObject|112P51.1}}
* {{LinkGoLNews|2009/03/new_oscillators_4.html|title=New Oscillators|date=March 16, 2009|author=Heinrich Koenig}}


[[Category:Patterns with D4 symmetry]]
{{Symmetry|full}}
{{seminatural}}
__NOTOC__

Latest revision as of 21:38, 17 October 2022

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.

Beluchenko's p51 first appeared on Catagolue in March 2015.[2] About 1 in 2.9 billion eightfold symmetric soups with odd symmetry (D8_1) form a Beluchenko's p51.

A 76-glider synthesis of this oscillator was found by Jason Summers and Matthias Merzenich on April 20, 2010.[3] This was improved to 43 gliders by Chris Cain on January 5, 2020.[4]

On November 8, 2018, 2718281828 found that two p51s can hassle a beehive, creating a p102.[5]

Gallery

x = 64, y = 64, rule = B3/S23 15b2o3b2o3$6b2o21b2o$6b2o21b2o2$3b2o27b2o$3b2o9b2o5b2o9b2o$9b3ob2o7b2o b3o$8bobo15bobo$8b2o17b2o$8bo19bo2$8bo19bo$7b2o19b2o$o6bo21bo6bo$o35bo 4$o35bo$o6bo21bo6bo$7b2o19b2o$8bo19bo2$8bo19bo10bo9bo$8b2o17b2o10b2o7b 2o$8bobo15bobo8b5o5b5o$9b3ob2o7b2ob3o14bo3bo$3b2o9b2o5b2o9b2o7b3ob3o7b 2o$3b2o27b2o2b2o3b2o3b2o3b2o2b2o$38bo2b3ob3o2bo$6b2o21b2o6b2o2bo5bo2b 2o6b2o$6b2o21b2o8b2o7b2o8b2o$39b3o5b3o$40bo7bo$15b2o3b2o8bo8b2ob2ob2ob 2o8bo$27bo2bobo6b2ob2ob2ob2o6bobo2bo$27bo3b2o8bo5bo8b2o3bo$25b3o5b2ob 2o13b2ob2o5b3o$26b2o5b5o13b5o5b2o$27bob4obo3bo11bo3bob4obo$28b4o4b2o 13b2o4b4o$29bobo4b2o13b2o4bobo2$29bobo4b2o13b2o4bobo$28b4o4b2o13b2o4b 4o$27bob4obo3bo11bo3bob4obo$26b2o5b5o13b5o5b2o$25b3o5b2ob2o13b2ob2o5b 3o$27bo3b2o8bo5bo8b2o3bo$27bo2bobo6b2ob2ob2ob2o6bobo2bo$30bo8b2ob2ob2o b2o8bo$40bo7bo$39b3o5b3o$29b2o8b2o7b2o8b2o$29b2o6b2o2bo5bo2b2o6b2o$38b o2b3ob3o2bo$32b2o2b2o3b2o3b2o3b2o2b2o$32b2o7b3ob3o7b2o$42bo3bo$37b5o5b 5o$39b2o7b2o$39bo9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART GPS 25 ZOOM 5 HEIGHT 400 ]]
An extension of this oscillator
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 87, y = 55, rule = B3/S23 5$58bo11bo$52b2o3bob2o7b2obo3b2o$52b2o5b2o7b2o5b2o$57bob2o7b2obo$49b2o 6b2o11b2o6b2o$49b2o6b2o3bo3bo3b2o6b2o$61b3ob3o$63bobo2$49bob3o21b3obo$ 12bo11bo23bo3b2o21b2o3bo$6b2o3bob2o7b2obo3b2o18b3o25b3o$6b2o5b2o7b2o5b 2o18b3o25b3o$11bob2o7b2obo28bo19bo$3b2o6b2o11b2o6b2o19b2o19b2o$3b2o6b 2o3bo3bo3b2o6b2o20b2o17b2o$15b3ob3o$17bobo34b2o17b2o$53b2o19b2o$3bob3o 21b3obo20bo19bo$2bo3b2o21b2o3bo6bo7b3o25b3o$3b3o25b3o6bobo6b3o25b3o$3b 3o25b3o6bobo5bo3b2o21b2o3bo$8bo19bo12bo7bob3o21b3obo$7b2o19b2o$8b2o17b 2o34bobo$61b3ob3o$8b2o17b2o20b2o6b2o3bo3bo3b2o6b2o$7b2o19b2o19b2o6b2o 11b2o6b2o$8bo19bo28bob2o7b2obo$3b3o25b3o18b2o5b2o7b2o5b2o$3b3o25b3o18b 2o3bob2o7b2obo3b2o$2bo3b2o21b2o3bo23bo11bo$3bob3o21b3obo2$17bobo$15b3o b3o$3b2o6b2o3bo3bo3b2o6b2o$3b2o6b2o11b2o6b2o$11bob2o7b2obo$6b2o5b2o7b 2o5b2o$6b2o3bob2o7b2obo3b2o$12bo11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 AUTOSTART GPS 25 ZOOM 5 HEIGHT 400 ]]
Two of these oscillators hassling a beehive
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. ↑ Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
  2. ↑ Richard Schank (March 27, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. ↑ Matthias Merzenich (April 20, 2010). Re: Glider synthesis discussion (discussion thread) at the ConwayLife.com forums
  4. ↑ Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ 2718281828 (November 8, 2018). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Beluchenko%27s_p51&oldid=116563"