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== [[Glider synthesis]] ==
== [[Glider synthesis]] ==
In August 2014, Bob Shemyakin found a 6-glider synthesis<ref>{{cite web|url=https://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 [[Tanner Jacobi]] found a cheaper recipe with 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>
In August 2014, Bob Shemyakin found a 6-glider synthesis<ref>{{cite web|url=https://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 [[Tanner Jacobi]] found a cheaper recipe with a [[Catagolue]]-based randomized 5-glider search.<ref>{{cite web|url=https://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 ==

Revision as of 04:22, 3 February 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 ]]
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][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.

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 ]]
Period 28[3]
(click above to open LifeViewer)
RLE: here Plaintext: 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 ]]
Period 70[4]
(click above to open LifeViewer)
RLE: here Plaintext: 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, the smallest known p112 oscillator by population

(click above to open LifeViewer)
RLE: here Plaintext: here

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

  1. "Class 2 Objects Catalog". Retrieved on April 11, 2009.
  2. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. David Raucci (October 28, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Matthias Merzenich (July 18, 2021). Re: Oscillator Discussion Thread (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. Bob Shemyakin (August 16, 2014). "Re: Synthesising Oscillators". Retrieved on May 15, 2019.
  8. Hdjensofjfnen (January 12, 2020). "Re: Randomly enumerating glider syntheses". Retrieved on January 12, 2020.