David Hilbert
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| David Hilbert | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 122 | ||||||||
| Bounding box | 33 × 26 | ||||||||
| Period | 23 (mod: 23) | ||||||||
| Heat | 34.6 | ||||||||
| Volatility | 0.71 | 0.71 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Luka Okanishi Aidan F. Pierce | ||||||||
| Year of discovery | 2019 | ||||||||
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David Hilbert[1][note 1] (or 122P23) was the first period-23 oscillator to be discovered. It was found by Luka Okanishi on November 24, 2019[2] based on a partial result by Aidan F. Pierce.[1] It consists of two copies of an engine, itself consisting of a B-heptomino being hassled by two unusual catalysts and a block, supported by a known period-agnostic beehive shuttle mechanism (seen in, for example, an extension of the carnival shuttle). There are several isomers known (including trans- versions and different phase offsets), with the one pictured having minimum population and bounding box. A 101-glider synthesis for one of these variants[3] was posted by Goldtiger997 on December 29.[4]
Notes
- ↑ Named after German mathematician David Hilbert in reference to his 23 problems.
References
- ↑ 1.0 1.1 Luka Okanishi (November 25, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Luka Okanishi (November 24, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher. "xp23_y2c9b8ozy031130gy0ggy2o8b9czxggw65532w11ggy339e0o8goz62470s4gy433xahh3x23zy2d5k46y233w59ddiwgzy311y964k5d11zyk11". Catagolue. Retrieved on December 29, 2019.
- ↑ Goldtiger997 (December 29, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
Categories:
- Patterns
- Oscillators with between 120 and 129 cells
- Periodic objects with minimum population between 120 and 129
- Patterns with between 120 and 129 cells
- Patterns found by Luka Okanishi
- Patterns found by Aidan F. Pierce
- Patterns found in 2019
- Patterns that can be constructed with between 100 and 199 gliders
- Oscillators
- Oscillators with period 23
- Prime-period oscillators
- Oscillators with mod 23
- Oscillators with heat 34
- Oscillators with volatility 0.71
- Oscillators with strict volatility 0.71
- Unnamed periodic objects