Pentoad: Difference between revisions
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DroneBetter (talk | contribs) m Add use as component of sparker from catforce_stdin (not sure about this one's notability either but I think it has a lot of soul) |
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|caption = '''pentoad 1H2''' | |caption = '''pentoad 1H2''' | ||
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==== Use as component ==== | |||
The pentoad 2 reaction can also support an oscillator in place of its block, that is the basis for an unnamed 61-cell low-clearance [[heavyweight volcano]] variant. | |||
{{EmbedViewer | |||
|rle = x = 18, y = 20, rule = B3/S23 | |||
o$3o$3bo$2b2o2$4b2obo$4bo2bo$4bob2o$10b2o$8b2obo$8bo2$4b2o2bo2bo2b2o$4bobo6bo | |||
bo$6b2o4b2o$2b5ob4ob5o$2bo14bo$5b3ob2ob3o$4bo2b6o2bo$4b2o2b4o2b2o! | |||
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | |||
|position = center | |||
|caption = '''pentoad 1H2''' supporting volcano | |||
|apgcode = xp5_32aczy07147gg8ozy0c4og5w4go4czw31pl5cpttpc5lp13 | |||
}} | }} | ||
Revision as of 23:11, 10 December 2022
| Pentoad | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 20 | ||||||||
| Bounding box | 13 × 12 | ||||||||
| Period | 5 (mod: 5) | ||||||||
| Heat | 8.8 | ||||||||
| Volatility | 0.65 | 0.65 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Bill Gosper | ||||||||
| Year of discovery | 1977 | ||||||||
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Pentoad (or eater-bound Z-hexomino[1]) is a period-5 oscillator that was found by Bill Gosper in June 1977. It consists of a Z-hexomino that is stabilized by two eater 1s.
goldenratio found a 10-glider synthesis of this oscillator on September 3, 2020.[2]
Variants
Extension
It was discovered by Scott Kim that this oscillator is extensible by moving one of the eaters diagonally away by four cells and inserting another Z-hexomino in the gap.[3] A pentoad constructed in this way with n Z-hexominoes has 14 + 6n cells and heat 8.8 + 6.4n. The pentoad with two Z-hexominoes is shown below.
| Pentoad with two Z-hexominoes (click above to open LifeViewer) RLE: here Plaintext: here |
Pentoad 2
Pentoad 2 is a period-5 oscillator that hassles a Z-hexomino with pairs of a block and a century predecessor instead of eaters.
It is shown as the second pattern in the sixth row of Jason Summers' main period 5 collection. It is extensible as well.
A 16-glider synthesis was found by Jeremy Tan on March 19, 2019,[4] which was later improved to 12 gliders by Goldtiger997.[5]
This oscillator first appeared semi-naturally in September 2016.[6]
| pentoad 2 (click above to open LifeViewer) RLE: here Plaintext: here |
Pentoad 1H2
Pentoad 1H2 is a period-5 oscillator that is a hybrid of pentoad and pentoad 2. It is extensible in a similar manner. The '1' and '2' in the name refer to the types of pentoad ends in the pattern. The 'H' refers to the one hexomino in middle.[citation needed]
Mark Niemiec found a 19-glider synthesis for this oscillator on August 29, 2013,[7] which MathAndCode improved to 13 gliders on January 17, 2021.[8]
| pentoad 1H2 (click above to open LifeViewer) RLE: here Plaintext: here |
Use as component
The pentoad 2 reaction can also support an oscillator in place of its block, that is the basis for an unnamed 61-cell low-clearance heavyweight volcano variant.
| pentoad 1H2 supporting volcano (click above to open LifeViewer) Catagolue: here |
See also
References
- ↑ Mark D. Niemiec. "Eater-bound Z-hexomino glider synthesis RLE file". Retrieved on April 28, 2009.
- ↑ goldenratio (September 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Jeremy Tan (March 19, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Goldtiger997 (April 1, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Apple Bottom (September 11, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Mark Niemiec (August 31, 2013). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ MathAndCode (January 17, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Pentoad at the Life Lexicon
- Pentoad at Adam P. Goucher's Catagolue
- 20P5.9 at Heinrich Koenig's Game of Life Object Catalogs
- Pentoad 2 at Adam P. Goucher's Catagolue
- Pentoad 2 at Heinrich Koenig's Game of Life Object Catalogs
- Pentoad 1H2 at Adam P. Goucher's Catagolue
- Pentoad 1H2 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 20 cells
- Periodic objects with minimum population 20
- Patterns with 20 cells
- Patterns found by Bill Gosper
- Patterns found in 1977
- Patterns that can be constructed with 10 gliders
- Oscillators
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 8
- Oscillators with volatility 0.65
- Oscillators with strict volatility 0.65
- Patterns with 180-degree rotation symmetry
- Semi-natural periodic objects