Tumbler

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.

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

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]

gollark: Minoteaur *is* searchable, but not via this.
gollark: The adjacency list on my test sample, which was not a reasonable webpage length, was only 70k thingies.
gollark: I can totally see this being useful if I have vast quantities of integers which need to be highly compactly represented, but the quantities aren't *that* vast.
gollark: No, it has it in a separate module.
gollark: It also ships a "fuse filter" thing, which is apparently based on similar principles but mildly more compact, except construction can fail, and according to their empirical testing it needs over 100000 keys to have a decent chance of not failing, and the only explanation is a link to an incomprehensible paper on properties of hypergraphs.

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. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  5. Bob Shemyakin (August 16, 2014). "Re: Synthesising Oscillators". Retrieved on May 15, 2019.
  6. Hdjensofjfnen (January 12, 2020). "Re: Randomly enumerating glider syntheses". Retrieved on January 12, 2020.
  • 16P14.1 at Heinrich Koenig's Game of Life Object Catalogs
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