Pentoad
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| 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 | ||||||||||
| Strict volatility | 0.65 | ||||||||||
| 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.
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.[2] 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.
goldenratio found a 10-glider synthesis of this oscillator on September 3, 2020.[3]
Image gallery
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See also
References
- ↑ Mark D. Niemiec. "Eater-bound Z-hexomino glider synthesis RLE file". Retrieved on April 28, 2009.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ goldenratio (September 3, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Pentoad at the Life Lexicon
- 20P5.9 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 20 cells
- Patterns with 20 cells
- Patterns found by Bill Gosper
- Patterns found in 1977
- Patterns that can be constructed with 10 gliders
- Oscillators
- Periodic objects with minimum population 20
- 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
