Tumbler
| Tumbler | |||||||||
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| Pattern type | Oscillator | ||||||||
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| 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] 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.
| 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 |
| Tumbler on Rich's p16,[4] the smallest known p112 oscillator by population (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Occurrence
- See also: 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 thirty-first most common oscillator and 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, Tanner Jacobi also found a similar clean reaction arising from a Catagolue-based randomized 5-glider search.[10]
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ David Raucci (October 28, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (July 18, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ GUYTU6J (July 27, 2019). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
- ↑ 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.
- ↑ Heinrich Koenig (June 19, 2011). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Bob Shemyakin (August 16, 2014). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Tanner Jacobi (November 3, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Hdjensofjfnen (January 12, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
External links
- Tumbler at the Life Lexicon
- Tumbler at Adam P. Goucher's Catagolue
- The 108 sixteen-bit oscillators at Mark D. Niemiec's Life Page (download pattern file: 16/16tu.rle)
- 16P14.1 at Heinrich Koenig's Game of Life Object Catalogs
- 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