Caterer on 44P7.2
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It has been suggested that this article or section be merged into 44P7.2 due to the following reason: not sure how this is notable, aside from historically; this information could easily fit as a note on either article (Discuss) |
| Caterer on 44P7.2 | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 56 | ||||||||
| Bounding box | 19 × 16 | ||||||||
| Period | 21 (mod: 21) | ||||||||
| Heat | 20.5 | ||||||||
| Volatility | 0.49 | 0.01 | ||||||||
| Kinetic symmetry | n | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Caterer on 44P7.2 is a period-21 oscillator composed of a caterer and the unnamed 44P7.2. In terms of its 56 cells, it was the smallest known non-trivial period 21 oscillator until the discovery of caterer on 42P7.1, although jam on 44P7.2 (shown in the "Gallery" section below) has a smaller bounding box.
Despite being composed of two oscillators of smaller periods (p3 and p7 respectively), this oscillator is considered non-trivial because it has a single cell that is alive in generation 14 and is dead in its other 20 phases.
A 133-glider synthesis of this oscillator was found in 2021,[1][2] later reduced to 131 gliders.[3]
Gallery
| Jam on 44P7.2 with a smaller bounding box of 17 × 16 (click above to open LifeViewer) RLE: here Plaintext: here |
See also
References
- ↑ GUYTU6J (May 31, 2021). Re: Synthesising Caterer-based Oscillators (Cont'd) (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#1307200437) (June 1, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.; synthesis-costs-2021-06-05/xp21 (archived copy)
- ↑ shinjuku (#1539695062) (August 27, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.; synthesis-costs-2021-09-05/xp21 (archived copy), synthesis-costs-2021-08-25/xp21 (archived copy)
External links
- Caterer on 44P7.2 at Adam P. Goucher's Catagolue
- 56P21.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 56 cells
- Periodic objects with minimum population 56
- Patterns with 56 cells
- Patterns that can be constructed with between 100 and 199 gliders
- Oscillators
- Oscillators with period 21
- Oscillators with mod 21
- Oscillators with heat 20
- Oscillators with volatility 0.49
- Oscillators with strict volatility 0.01
- Oscillators with n symmetry
- Least-common-multiple oscillators