Caterer on 44P7.2
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| 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 | Unspecified | ||||||||
| 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.
Generation 14 reveals the single cell with period 21 (in green)
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)
- ↑ synthesis-costs-2021-09-05/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
- Least-common-multiple oscillators