Pentoad: Difference between revisions
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'''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{cite web|url=http://codercontest.com/mniemiec/20et2z.rle|title=Eater-bound Z-hexomino glider synthesis RLE file|author=Mark D. Niemiec|accessdate=April 28, 2009}}</ref>) is a {{period|5}} [[oscillator]] that was found by [[Bill Gosper]] in June {{year|1977}}. It consists of a [[Z-hexomino]] that is stabilized by two [[eater 1]]s. | '''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{cite web|url=http://codercontest.com/mniemiec/20et2z.rle|title=Eater-bound Z-hexomino glider synthesis RLE file|author=Mark D. Niemiec|accessdate=April 28, 2009}}</ref>) is a {{period|5}} [[oscillator]] that was found by [[Bill Gosper]] in June {{year|1977}}. It consists of a [[Z-hexomino]] that is stabilized by two [[eater 1]]s. | ||
It was discovered by Scott Kim that this oscillator is extensible by moving one of the eaters diagonally away by four [[cell]]s and inserting another Z-hexomino in the gap. 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. | It was discovered by Scott Kim that this oscillator is extensible by moving one of the eaters diagonally away by four [[cell]]s and inserting another Z-hexomino in the gap.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> 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. | ||
==Image gallery== | ==Image gallery== | ||
Revision as of 15:52, 14 March 2020
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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.
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.
Image gallery
 Download RLE: click here |
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.
External links
- Pentoad at the Life Lexicon
- 20P5.9 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- 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 12 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