Tumbler

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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
Strict volatility 0.88
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
Catagoluehere
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
Catagoluehere
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
Catagoluehere

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.[5] On Catagolue, it is the only known period 14 oscillator to have occurred naturally.[6]

Glider synthesis

Before 2014, a tumbler takes at least 8 gliders to synthesize.[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

External links

  • 16P14.1 at Heinrich Koenig's Game of Life Object Catalogs