Beluchenko's p51

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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 ]]
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 on April 20, 2010.[2] This was improved to 43 gliders by Chris Cain on January 5, 2020.[3]

Beluchenko's p51 first appeared on Catagolue in March 2015.[4]

Image gallery

An extension of this oscillator
RLE: here

Also see


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

External links