Gray counter: Difference between revisions
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|symmetry = +c | |||
|discoveryear = 1971 | |discoveryear = 1971 | ||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
Revision as of 10:24, 6 August 2024
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| Pattern type | Oscillator | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Muttering moat | ||||||||||||||
| Billiard table | |||||||||||||||
| Number of cells | 26 | ||||||||||||||
| Bounding box | 13 × 9 | ||||||||||||||
| Period | 4 (mod: 4) | ||||||||||||||
| Heat | 2 | ||||||||||||||
| Volatility | 0.13 | 0.13 | ||||||||||||||
| Kinetic symmetry | +c | ||||||||||||||
| Discovered by | Unknown | ||||||||||||||
| Year of discovery | 1971 | ||||||||||||||
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Gray counter is a period-4 oscillator that was found in 1971.[1] The interior rotor simulates a cycle through the Gray codes from 0 to 3.
The 5-cell long sides of the main part of the stator require induction coils: the option with the smallest population (as well as the highest symmetry) uses two tubs as pictured. A smaller bounding box may be reached using snakes or bi-blocks.
A 26-glider synthesis is known for a stator variant of this oscillator in which one of the tubs is replaced with a boat. Additionally, another variant is known which occurred naturally on October 31, 2015, in a soup submitted to Catagolue by Tomas Rokicki.[2] GUYTU6J found an 11-glider synthesis for the latter variant based on this soup on March 14, 2020.[3]
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Adam P. Goucher (November 3, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (March 14, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Gray code at Wikipedia
- Gray counter at the Life Lexicon
- Gray counter at Adam P. Goucher's Catagolue
- 26P4.3 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 26 cells
- Periodic objects with minimum population 26
- Patterns with 26 cells
- Patterns found in 1971
- Patterns that can be constructed with 27 gliders
- Patterns that can be constructed with 11 gliders
- Oscillators
- Muttering moats
- Billiard tables
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 2
- Oscillators with volatility 0.13
- Oscillators with strict volatility 0.13
- Oscillators with +c symmetry
- Patterns with rectangular orthogonal symmetry
- Semi-natural periodic objects