Beluchenko's p40
| Beluchenko's p40 | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 26 | ||||||||
| Bounding box | 17 × 20 | ||||||||
| Period | 40 (mod: 40) | ||||||||
| Heat | 25.6 | ||||||||
| Volatility | 0.98 | 0.98 | ||||||||
| Kinetic symmetry | .e | ||||||||
| Discovered by | Nicolay Beluchenko | ||||||||
| Year of discovery | 2009 | ||||||||
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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 Aleph.[5][6]
| An I-heptomino hassler based on Beluchenko’s p40 (click above to open LifeViewer) Catagolue: here |
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.
Construction
An 8-glider synthesis of Beluchenko's p40 was found by Carson Cheng in March 2023.[7][8] Before that, at least three different 10-glider syntheses were known (a synthesis with intermediate constellation xs20_66x696zzzy2696x66,[9] a synthesis with intermediate constellation xs10_25520oo,[10] and a single-step synthesis[10]). An earlier 30-glider synthesis can be found in Mark Niemiec's database.[11]
References
- ↑ Jason Summers' jslife pattern collection. Retrieved on June 25, 2009.
- ↑ praosylen (April 12, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Jason Summers' jslife pattern collection. Retrieved on December 16, 2020.
- ↑ praosylen (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Tanner Jacobi (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Aleph (December 16, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Carson Cheng (March 25, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4001104233) (March 25, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ xp40_33zxs48g69gvzx3021zy833 (archived copy)
- ↑ 10.0 10.1 shinjuku (#3962004812) (March 19, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ 2 Period-40 oscillators at Mark D. Niemiec's Life Page (download pattern file: lg/26p40-1.rle)
External links
- New Oscillators at Game of Life News. Posted by Heinrich Koenig on May 31, 2009.
- New Oscillators at Game of Life News. Posted by Heinrich Koenig on April 14, 2009.
- Beluchenko's p40 at Adam P. Goucher's Catagolue
- List of semi-natural Beluchenko's p40 stator variants (Catagolue)
- 26P40.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 26 cells
- Periodic objects with minimum population 26
- Patterns with 26 cells
- Patterns found by Nicolay Beluchenko
- Patterns found in 2009
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 40
- Oscillators with mod 40
- Oscillators with heat 25
- Oscillators with volatility 0.98
- Oscillators with strict volatility 0.98
- Oscillators with .e symmetry
- Sparkers
- Sparkers with period 40
- Obo sparkers
- Strong sparkers
- Domino sparkers
- Weak sparkers
- Semi-natural periodic objects