Kok's galaxy
| Kok's galaxy | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 28 | ||||||||
| Bounding box | 13 × 13 | ||||||||
| Period | 8 | ||||||||
| Mod | 8 | ||||||||
| Heat | 39 | ||||||||
| Volatility | 1.00 | ||||||||
| Strict volatility | 1.00 | ||||||||
| Discovered by | Jan Kok | ||||||||
| Year of discovery | 1971 | ||||||||
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Kok's galaxy is a volatility-1 period-8 oscillator found by Jan Kok in 1971.[1][2]
Kok's galaxy serves as the logo of Golly.
Uses in catalysis
Kok's galaxy is one of the strongest p8 sparkers of its size, and is notable for allowing a reaction found by Dave Buckingham and simplified by Bill Gosper that converts a pi heptomino to a heavyweight spaceship when paired with a boat:
| A p48 HWSS gun using Kok's galaxy and two period-48 glider guns (click above to open LifeViewer) RLE: here Plaintext: here |
The period-856 glider gun uses four, which serve as sparkers and also delete gliders.
Glider synthesis
In September 2003 Jason Summers found a 12-glider synthesis of this oscillator.[3] An 11-glider synthesis was found by chris_c in May 2016.[4] On December 23, 2022, Chris857 found a 10-glider synthesis for the oscillator based on an occurrence in a symmetric soup.[5] Several previously known 11-glider recipes work via perturbing a constellation of two beehives using eight gliders.[6] On December 11, 2023, Carson Cheng found two 8-glider syntheses for Kok's galaxy.[7][8]
| 8G synthesis[7][8] (click above to open LifeViewer) |
| 10G synthesis[5] (click above to open LifeViewer) |
| 11G synthesis[4] (click above to open LifeViewer) |
| 12G synthesis[9] (click above to open LifeViewer) |
Occurrence
- See also: List of common oscillators
Kok's galaxy is still yet to occur naturally, but Catagolue has a dedicated badge which will be given out to anyone who discovers one. In odd-width 90° rotationally symmetric soups (C4_1), about 1 in 100000 soups will form a Kok's galaxy in the centre, and in 180° ones (C2_1), about 1 in 230 million soups.
See also
References
- ↑ Robert Wainwright (September 1971). Lifeline, vol 3, page 4.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jason Summers' jslife pattern collection.
- ↑ 4.0 4.1 chris_c (May 31, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 Chris857 (December 23, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Dave Greene (February 2, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ 7.0 7.1 Carson Cheng (December 11, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ 8.0 8.1 shinjuku (#5724508693) (December 10, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ jslife-20121230/synthesis/make-osc-p008+.lif
External links
- Kok's galaxy at the Life Lexicon
- Kok's galaxy at Adam P. Goucher's Catagolue
- 20 period 8 oscillators 26 bits and larger at Mark D. Niemiec's Life Page (download pattern file: lg/28gy.rle)
- 28P8.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 28 cells
- Periodic objects with minimum population 28
- Patterns with 28 cells
- Patterns found by Jan Kok
- Patterns found in 1971
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 8
- Oscillators with mod 8
- Oscillators with heat 39
- Oscillators with volatility 1.00
- Oscillators with strict volatility 1.00
- Patterns with 90-degree rotation symmetry
- Sparkers
- Sparkers with period 8
- Dot sparkers
- Strong sparkers
- Semi-natural periodic objects