Difference between revisions of "Beluchenko's p51"

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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 ]]
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'''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.
'''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref name="jslife" /> 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" />
A {{gliders|76}} [[synthesis]] of this oscillator was found by [[Jason Summers]] and [[Matthias Merzenich]] in April {{year|2010}}.<ref name="jslife">{{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" />
 
Beluchenko's p51 first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18307" />


==Image gallery==
==Image gallery==
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|author = Chris Cain
|author = Chris Cain
|date  = January 5, 2020
|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>
</references>
</references>

Revision as of 18:52, 14 March 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.[1] This was improved to 43 gliders by Chris Cain on January 5, 2020.[2]

Beluchenko's p51 first appeared on Catagolue in March 2015.[3]

Image gallery

An extension of this oscillator
RLE: here

Also see

References

  1. ↑ 1.0 1.1 Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
  2. ↑ Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. ↑ Richard Schank (March 27, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

Retrieved from "https://conwaylife.com/w/index.php?title=Beluchenko%27s_p51&oldid=70095"