Beluchenko's p40

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Beluchenko's p40
x = 17, y = 14, rule = B3/S23 2o8b2o$2o7bo$12bo$8b2obo$8b2o5$7b2o$5bob2o$4bo$7bo7b2o$5b2o8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 40 GPS 8 THUMBSIZE 2 ]]
Pattern type Oscillator
Number of cells 26
Bounding box 17×20
Period 40
Mod 40
Heat 25.6
Volatility 0.98
Strict volatility 0.98
Discovered by Nicolay Beluchenko
Year of discovery 2009

Beluchenko's p40 is a period-40 oscillator discovered by Nicolay Beluchenko on March 4, 2009.[1] In terms of its 26 cells, it is the smallest known period 40 oscillator. Blocks can be shared: the same block can be hassled with two copies of the oscillator at a displacement of half the period (or other nearby timings). The shared block is hassled with a displacement of one period.

This oscillator first appeared semi-naturally in April 2016.[2]

Two or four copies can hassle a blinker at p40 or p80, and four copies can hassle a blinker at p160.[3] In December 2020, praosylen discovered that two copies of it and two additional blocks can hassle an I-heptomino and two other blocks[4] based on reactions found by Tanner Jacobi and wwei23.[5][6]

Sparking capabilities

The obvious spark that the object emits is an obo spark, which has very high clearance. Sometimes, it can be backed up one or two generations for a domino spark (two-cell leading edge) or a more complex spark, but this doesn't always work, as it's not a simple domino.

21 generations after the obo generation (labeled generation 20 in the LifeViewer in the infobox), there is a two-cell leading edge in a completely different location from the obo spark. Despite being attached to the rest of the oscillator, it can be used as functionally equivalent to a plain domino spark, although with lower clearance.

References

  1. Jason Summers' jslife pattern collection. Retrieved on June 25, 2009.
  2. praosylen (April 12, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. Jason Summers' jslife pattern collection. Retrieved on December 16, 2020.
  4. praosylen (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. Tanner Jacobi (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. "wwei23" (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums

External links

  • 26P40.1 at Heinrich Koenig's Game of Life Object Catalogs