Mold on fire-spitting
| Mold on fire-spitting | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 31 | ||||||||
| Bounding box | 15 × 8 | ||||||||
| Period | 12 (mod: 12) | ||||||||
| Heat | 21 | ||||||||
| Volatility | 0.68 | 0.06 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Period1GliderGun | ||||||||
| Year of discovery | 2023 | ||||||||
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Mold on fire-spitting is a period-12 oscillator composed of a mold and a fire-spitting. Although it is composed of two oscillators of smaller periods (p3 and p4 respectively), it is considered non-trivial, because it has three cells that oscillate with the full period. In terms of its minimum population of 31 cells it is the smallest known non-trivial period 12 oscillator, surpassing dinner table (33 cells) and caterer on 21P4.1 (33 cells) (Catagolue: here),[1] although the trivial mold on candlefrobra contains only 24 cells.
Although the two oscillators have been known since 1988 and 2003, the observation they could be combined to make an LCM oscillator was not made until 2023.[2]
A 43-glider synthesis for mold on fire-spitting was completed within a day after discovery.[3]
There exists another orientation of the mold that produces the same spark and ties the minimal population, though it leads to a bounding box of 130 instead of 120.[2]
See also
References
- ↑ Carson Cheng (October 29, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
- ↑ 2.0 2.1 Period1GliderGun (May 18, 2023). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#4316884423) (May 19, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
- Patterns
- Oscillators with 31 cells
- Periodic objects with minimum population 31
- Patterns with 31 cells
- Patterns found by Period1GliderGun
- Patterns found in 2023
- Patterns that can be constructed with 43 gliders
- Oscillators
- Oscillators with period 12
- Oscillators with mod 12
- Oscillators with heat 21
- Oscillators with volatility 0.68
- Oscillators with strict volatility 0.06
- Least-common-multiple oscillators
- Patterns discovered by pseudonymous users