Tumbler: Difference between revisions
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|position = center | |position = center | ||
|viewerconfig = #C [[ GPS 14 THUMBSIZE 2 ]] | |viewerconfig = #C [[ GPS 14 THUMBSIZE 2 ]] | ||
|caption = Period 28<ref name="post137087" /><br/> | |caption = Period 28;<ref name="post137087" /> note that a [[T-nosed p4]] can substitute for the tumbler spark<br/> | ||
|apgcode = xp28_yg69lqozyhk811zyegg8ozwgg0ggy634c63w61qk0kq16z685202586ws6jiczy7h1zy4ooh2zy415a96 | |||
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|viewerconfig = #C [[ GPS 35 THUMBSIZE 2 ]] | |viewerconfig = #C [[ GPS 35 THUMBSIZE 2 ]] | ||
|caption = Period 70<ref name="post133722" /><br/> | |caption = Period 70<ref name="post133722" /><br/> | ||
|apgcode = xp70_y3c88blg8k46p3zy532gh2in5la96zj9d0d9jy011w18nge2zzy4g88gw247zy32jgf0c80ccy0j9d0d9jzy3342t57aic8imggzy564311w56w1 | |||
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|viewerconfig = #C [[ GPS 56 THUMBSIZE 2 ]] | |viewerconfig = #C [[ GPS 56 THUMBSIZE 2 ]] | ||
|caption = Tumbler on [[Rich's p16]], the smallest<br/>known p112 oscillator by population<br/> | |caption = Tumbler on [[Rich's p16]], the smallest<br/>known p112 oscillator by population<br/> | ||
|apgcode = xp112_om999e0e999mozx8kc0ck8zzw8if505fi8 | |||
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Revision as of 05:21, 5 March 2022
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 16 | ||||||||
| Bounding box | 9 × 7 | ||||||||
| Frequency class | 29.9 | ||||||||
| Period | 14 (mod: 7) | ||||||||
| Heat | 10.3 | ||||||||
| Volatility | 1.00 | 0.88 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | George Collins | ||||||||
| Year of discovery | 1970 | ||||||||
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The tumbler is the smallest known and first discovered period-14 oscillator and was found by George Collins in 1970.[1][2] It was the only known period 14 oscillator until the discovery of 44P14 on April 21, 1997.
Use as a sparker
The tumbler has a few, but very few, applications where it can act as a weak sparker. In most cases, the tumbler is not the only thing that works, but it can be useful to reduce the population.
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Tumbler is about the twenty-eighth most common naturally-occurring oscillator in Achim Flammenkamp's census, being less common than octagon 2 and unix but more common than tub test tube baby.[5] On Catagolue, it is the only known period 14 oscillator to have occurred naturally.[6]
In August 2014, Bob Shemyakin found a 6-glider synthesis[7] for a tumbler. In January 2020 Tanner Jacobi found a cheaper recipe with a Catagolue-based randomized 5-glider search.[8]
See also
References
- ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ David Raucci (October 28, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (July 18, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
- ↑ Bob Shemyakin (August 16, 2014). "Re: Synthesising Oscillators". Retrieved on May 15, 2019.
- ↑ Hdjensofjfnen (January 12, 2020). "Re: Randomly enumerating glider syntheses". Retrieved on January 12, 2020.
External links
- Tumbler at the Life Lexicon
- 16P14.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Oscillators with 16 cells
- Periodic objects with minimum population 16
- Patterns with 16 cells
- Patterns found by George Collins
- Patterns found in 1970
- Patterns that can be constructed with 5 gliders
- Oscillators
- Oscillators with period 14
- Oscillators with mod 7
- Oscillators with heat 10
- Oscillators with volatility 1.00
- Oscillators with strict volatility 0.88
- Patterns with bilateral orthogonal symmetry
- Flipping oscillators