Difference between revisions of "Tumbler"
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|rulemax = B378/S023678 | |rulemax = B378/S023678 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |rulespecial = [[Conway's Game of Life|Conway Life]] | ||
|synthesis = | |isorulemin = B3-cky/S23-ceky | ||
|isorulemax = B2n34aektwz5-ijqr6-ik78/S0234-ajkr5-y678 | |||
|synthesis = 5 | |||
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|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 HEIGHT 400 ]] | |viewerconfig = #C [[ GPS 7 THUMBSIZE 2 HEIGHT 400 ]] | ||
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The '''tumbler''' is the smallest known and first discovered | The '''tumbler''' is the smallest known and first discovered {{period|14}} [[oscillator]] and was found by [[George Collins]] in {{year|1970}}.<ref>{{cite web|url=http://pentadecathlon.com/objects/class2/class2.php?part=1 |title=Class 2 Objects Catalog |accessdate=April 11, 2009}}</ref><ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It was the only known period 14 oscillator until the discovery of [[44P14]] on April 21, {{year|1997}}. | ||
==[[List of common oscillators|Commonness]]== | ==[[List of common oscillators|Commonness]]== | ||
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]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> | 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]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> On [[Catagolue]], it is the only known period 14 oscillator to have occurred naturally.<ref>{{citeCatagolueStats|October 27, 2018}}</ref> | ||
==Synthesis== | ==Synthesis== | ||
In | In August 2014, Bob Shemyakin found a 6-glider synthesis<ref>{{cite web|url=http://conwaylife.com/forums/viewtopic.php?p=12917#p12917|title=Re: Synthesising Oscillators|date=August 16, 2014|accessdate=May 15, 2019|author=Bob Shemyakin}}</ref> for a tumbler. In January 2020 a cheaper recipe was found by a [[Catagolue]]-based randomized 5-glider search.<ref>{{cite web|url=https://www.conwaylife.com/forums/viewtopic.php?p=87363#p87363|title=Re: Randomly enumerating glider syntheses|date=January 12, 2020|accessdate=January 12, 2020|author=Hdjensofjfnen}}</ref> | ||
==See also== | ==See also== | ||
* [[Rich's p16]] | * [[Rich's p16]] | ||
* [[ | * [[34P14 shuttle]] | ||
==References== | ==References== | ||
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{{LinkLexicon|lex_t.htm#tumbler}} | {{LinkLexicon|lex_t.htm#tumbler}} | ||
{{LinkCatagolue|xp14_j9d0d9j}} | {{LinkCatagolue|xp14_j9d0d9j}} | ||
{{LinkPentadecathlonObject|16P14.1}} | |||
{{Symmetry|orthogonal2|osc=flip}} | {{Symmetry|orthogonal2|osc=flip}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 16:44, 14 March 2020
| Tumbler | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 16 | ||||||||
| Bounding box | 9 × 7 | ||||||||
| Frequency class | 29.9 | ||||||||
| Period | 14 | ||||||||
| Mod | 7 | ||||||||
| Heat | 10.3 | ||||||||
| Volatility | 1.00 | ||||||||
| Strict volatility | 0.88 | ||||||||
| 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.
Commonness
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.[3] On Catagolue, it is the only known period 14 oscillator to have occurred naturally.[4]
Synthesis
In August 2014, Bob Shemyakin found a 6-glider synthesis[5] for a tumbler. In January 2020 a cheaper recipe was found by a Catagolue-based randomized 5-glider search.[6]
See also
References
- ↑ "Class 2 Objects Catalog". Retrieved on April 11, 2009.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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