90P51

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90P51
x = 25, y = 20, rule = B3/S23 11b2o5bo$11bo4b2obo$6bob2obo2b2o3bo$6b2obob2o3bo2bob2o$9bo5bo2b2obo2bo $o8b2ob2o3bo5b2o$3o10bobob2o$3bo5b2obo2b2o3bo$2bo6b2obobo3b3o$3bo9bo2b 2o$6b2o6b2o2bo$6b2o9b2o2$7b2o$7b2o$11bo$4b2o6bo$5bo5bo$2b3o7b3o$2bo11b o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 3 GPS 4 ZOOM 22 HEIGHT 600 WIDTH 600 ]]
Pattern type Oscillator
Number of cells 90
Bounding box 25×20
Period 51
Mod 51
Heat 28.16
Volatility 0.57
Strict volatility 0.01
Discovered by Matthias Merzenich
Adam P. Goucher
Year of discovery 2014

90P51 is the smallest known period-51 oscillator. It consists of a honey thieves variant interacting with an unnamed period 3 oscillator. The p3 eater 2 variant was originally found by Noam Elkies on July 24, 2000 and used to construct 134P39.1,[1] while Adam P. Goucher[2] and Matthias Merzenich[3] discovered in September 2014 that it could be combined with honey thieves to produce a p51 oscillator. The p3 portion of this oscillator was later reduced by two cells in July 2021, with one-cell reductions each by James Pascua and Matthias Merzenich.[4]

References

  1. Matthias Merzenich (July 13, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Adam P. Goucher (September 12, 2014). Re: New p17 and other billiard tables (discussion thread) at the ConwayLife.com forums
  3. Matthias Merzenich (September 13, 2014). Re: New p17 and other billiard tables (discussion thread) at the ConwayLife.com forums
  4. Matthias Merzenich (July 12, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links