Mathematician
Jump to navigation
Jump to search
| Mathematician | |||||||||||||
| View animated image | |||||||||||||
| View static image | |||||||||||||
| Pattern type | Oscillator | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Billiard table | ||||||||||||
| Number of cells | 35 | ||||||||||||
| Bounding box | 9 × 11 | ||||||||||||
| Period | 5 (mod: 5) | ||||||||||||
| Heat | 3.2 | ||||||||||||
| Volatility | 0.20 | 0.20 | ||||||||||||
| Kinetic symmetry | n | ||||||||||||
| Discovered by | David Buckingham | ||||||||||||
| Year of discovery | 1972 | ||||||||||||
| |||||||||||||
| |||||||||||||
| |||||||||||||
| |||||||||||||
The mathematician is a period-5 oscillator that was found in 1972 by David Buckingham.[1][2] A stator variant of it first appeared semi-naturally in April 2016.[3]
A 99-glider synthesis of this oscillator was found by Inferno on August 2, 2021 based on a final step posted by iNoMed.[4] Over the next few days, this was reduced by iNoMed, wwei23, MathAndCode, Tanner Jacobi, and Martin Grant to 28 gliders.[5][6]
Mathematician is by far the period-5 oscillator with the most seminatural stator variants in twofold reflectional odd symmetry, with the only other one coming close being heart which only relies on symmetry to form an induction coil rather than as part of the rotor.
See also
References
- ↑ Robert Wainwright (October 1972). Lifeline, vol 6, page 3.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Dongook Lee (April 6, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (August 2, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ iNoMed (August 3, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Martin Grant (August 4, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Mathematician at the Life Lexicon
- 35P5.4 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 35 cells
- Periodic objects with minimum population 35
- Patterns with 35 cells
- Patterns found by David Buckingham
- Patterns found in 1972
- Patterns that can be constructed with 28 gliders
- Patterns that can be constructed with 24 gliders
- Oscillators
- Billiard tables
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 3
- Oscillators with volatility 0.20
- Oscillators with strict volatility 0.20
- Oscillators with n symmetry