Tumbler: Difference between revisions

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|position    = center
|position    = center
|viewerconfig = #C [[ GPS 14 THUMBSIZE 2 ZOOM 8 ]]
|viewerconfig = #C [[ GPS 14 THUMBSIZE 2 ZOOM 8 ]]
|caption      = Period-28 [[B-heptomino]] hassler;<ref name="post137087" /> a [[T-nosed p4]]<br>can substitute for the tumbler spark<br>
|caption      = Period-28 [[B-heptomino]] hassler;<ref name="post137087" /> a [[T-nosed p4]] can substitute for the tumbler spark
|apgcode      = xp28_yg69lqozyhk811zyegg8ozwgg0ggy634c63w61qk0kq16z685202586ws6jiczy7h1zy4ooh2zy415a96
|apgcode      = xp28_yg69lqozyhk811zyegg8ozwgg0ggy634c63w61qk0kq16z685202586ws6jiczy7h1zy4ooh2zy415a96
}}
}}
|-
|{{EmbedViewer
|{{EmbedViewer
|pname        = p70glidershuttle
|pname        = p70glidershuttle
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 35 THUMBSIZE 2 ZOOM 8 ]]
|viewerconfig = #C [[ GPS 35 THUMBSIZE 2 ZOOM 8 ]]
|caption      = Period-70 [[glider]] [[relay]]<ref name="post133722" /><br>
|caption      = Period-70 glider [[relay]]<ref name="post133722" />
|apgcode      = xp70_y3c88blg8k46p3zy532gh2in5la96zj9d0d9jy011w18nge2zzy4g88gw247zy32jgf0c80ccy0j9d0d9jzy3342t57aic8imggzy564311w56w1
|apgcode      = xp70_y3c88blg8k46p3zy532gh2in5la96zj9d0d9jy011w18nge2zzy4g88gw247zy32jgf0c80ccy0j9d0d9jzy3342t57aic8imggzy564311w56w1
}}
}}
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|position    = center
|position    = center
|viewerconfig = #C [[ GPS 56 THUMBSIZE 2 ]]
|viewerconfig = #C [[ GPS 56 THUMBSIZE 2 ]]
|caption      = Tumbler on [[Rich's p16]]<ref name="post80153" />, the smallest<br>known p112 oscillator by population<br>
|caption      = Tumbler on [[Rich's p16]]<ref name="post80153" />, the smallest known p112 oscillator by population
|apgcode      = xp112_om999e0e999mozx8kc0ck8zzw8if505fi8
|apgcode      = xp112_om999e0e999mozx8kc0ck8zzw8if505fi8
}}
}}
|}
|}


== [[List of common oscillators|Commonness]] ==
== Commonness ==
 
{{main|List of common oscillators}}
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>
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>


== [[Glider synthesis]] ==
== Glider synthesis ==


Before 2014, a tumbler takes at least 8 gliders to synthesize.<ref name="post4762" /> In August {{year|2014}}, [[Bob Shemyakin]] found a 4-glider [[component]] that converts a [[bi-block]] to a tumbler, resulting in a {{gliders|6}} synthesis.<ref name="post12917" /> Another one-step 6-glider [[recipe]] based on a random [[soup]] was found by [[Tanner Jacobi]] in November that year, which involves a [[honey farm]] [[predecessor]] being hit on three sides.<ref name="post14107" /> Later in January {{year|2020}}, the user also found a similar clean reaction arising from a [[Catagolue]]-based randomized {{gliders|5}} search.<ref name="post87363" />
Before 2014, at least 8 gliders were needed to synthesize the tumbler.<ref name="post4762" /> In August {{year|2014}}, [[Bob Shemyakin]] found a 4-glider [[component]] that converts a [[bi-block]] to a tumbler, resulting in a {{gliders|6}} synthesis.<ref name="post12917" /> Another one-step 6-glider [[recipe]] based on a random [[soup]] was found by [[Tanner Jacobi]] in November that year, which involves a [[honey farm]] [[predecessor]] being hit on three sides.<ref name="post14107" /> Later in January {{year|2020}}, the user also found a similar clean reaction arising from a [[Catagolue]]-based randomized {{gliders|5}} search.<ref name="post87363" />


== See also ==
== See also ==
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<ref name="post12917">{{LinkForumThread
<ref name="post12917">{{LinkForumThread
|format = ref
|format = ref
|p         = 12917
|p     = 12917
|title     = Re: Synthesising Oscillators
|title = Re: Synthesising Oscillators
|author = Bob Shemyakin
|author = Bob Shemyakin
|date   = August 16, 2014
|date   = August 16, 2014
}}</ref>
}}</ref>
<ref name="post14107">{{LinkForumThread
<ref name="post14107">{{LinkForumThread
Line 115: Line 116:
<ref name="post87363">{{LinkForumThread
<ref name="post87363">{{LinkForumThread
|format = ref
|format = ref
|p         = 87363
|p     = 87363
|title     = Re: Randomly enumerating glider syntheses
|title = Re: Randomly enumerating glider syntheses
|author = Hdjensofjfnen
|author = Hdjensofjfnen
|date     = January 12, 2020
|date   = January 12, 2020
}}</ref>
}}</ref>
</references>
</references>


== External links ==
== External links ==
{{LinkLexicon|lex_t.htm#tumbler}}
* {{LinkLexicon|lex_t.htm#tumbler}}
{{LinkCatagolue|xp14_j9d0d9j}}
* {{LinkCatagolue|xp14_j9d0d9j}}
{{LinkNiemiec|16/16tu.rle}}
* {{LinkNiemiec|16/16tu.rle}}
{{LinkPentadecathlonObject|16P14.1}}
* {{LinkPentadecathlonObject|16P14.1}}


{{Symmetry|orthogonal2|osc=flip}}
{{Symmetry|orthogonal2|osc=flip}}


__NOTOC__
__NOTOC__

Revision as of 22:50, 19 July 2022

Tumbler
bo5bob$obo3bobo$o2bobo2bo$2bo3bo2b$2b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 7 THUMBSIZE 2 HEIGHT 400 ]]
View animated image
View static image
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 | 0.88
Kinetic symmetry Unspecified
Discovered by George Collins
Year of discovery 1970

The tumbler is the smallest known and first discovered period-14 oscillator and was found by George Collins in 1970.[1] 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.

x = 39, y = 31, rule = B3/S23 16b3o$16bo3b2o$17b5o2$17b5o$16bo3b2o$4bo11b3o$2b2obo$bo$obo2bo$o2bo4b 2o4b2o$b2o4b2obo3bobo$16bo$14b3o4$22b3o$22bo$22bobo3bob2o4b2o$23b2o4b 2o4bo2bo$33bo2bobo$37bo$33bob2o$20b3o11bo$17b2o3bo$17b5o2$17b5o$17b2o 3bo$20b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 14 THUMBSIZE 2 ZOOM 8 ]]
Period-28 B-heptomino hassler;[2] a T-nosed p4 can substitute for the tumbler spark
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 38, y = 28, rule = B3/S23 26b3o$23b2o3bo$23b5o2$23b5o$23b2o3bo$26b3o$6b2o3bo22b2o$5bo2bo2b3o20bo $2o4bobo5bo16b2obo$o2b3obob4obo16bo2bob2o$b2o2bobo4b2o13b2o4bobobo$2bo 4bo2b2o14bo2bo2b2o$2bob2obo3bo14bo7bo$3bo7bo14bo3bob2obo$4b2o2bo2bo3bo 10b2o2bo4bo$obobo4b2o4bobo6b2o4bobo2b2o$2obo2bo8b2o6bob4obob3o2bo$3bob 2o16bo5bobo4b2o$3bo20b3o2bo2bo$2b2o22bo3b2o$11b3o$8b2o3bo$8b5o2$8b5o$ 8b2o3bo$11b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 35 THUMBSIZE 2 ZOOM 8 ]]
Period-70 glider relay[3]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 18, y = 13, rule = B3/S23 5b2o$4bo2bo$5bo2bo5b2o$bo6bo4bo$obo3bo2bo4bob2o$b2o3b3o6bobo2$b2o3b3o 6bobo$obo3bo2bo4bob2o$bo6bo4bo$5bo2bo5b2o$4bo2bo$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 56 THUMBSIZE 2 ]]
Tumbler on Rich's p16[4], the smallest known p112 oscillator by population
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Commonness

Main article: List of common oscillators

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]

Glider synthesis

Before 2014, at least 8 gliders were needed to synthesize the tumbler.[7] In August 2014, Bob Shemyakin found a 4-glider component that converts a bi-block to a tumbler, resulting in a 6-glider synthesis.[8] Another one-step 6-glider recipe based on a random soup was found by Tanner Jacobi in November that year, which involves a honey farm predecessor being hit on three sides.[9] Later in January 2020, the user also found a similar clean reaction arising from a Catagolue-based randomized 5-glider search.[10]

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ David Raucci (October 28, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ Matthias Merzenich (July 18, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. ↑ GUYTU6J (July 27, 2019). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  5. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  6. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  7. ↑ Heinrich Koenig (June 19, 2011). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
  8. ↑ Bob Shemyakin (August 16, 2014). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  9. ↑ Tanner Jacobi (November 3, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  10. ↑ Hdjensofjfnen (January 12, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums


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