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]

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

Also see

References

  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 ConwayLife.com forums
  3. Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. Richard Schank (March 27, 2015). Re: Soup search results (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