Pentoad: Difference between revisions
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revert - undiscussed merge with loss of information from https://conwaylife.com/w/index.php?title=Pentoad_2&oldid=103789 https://conwaylife.com/w/index.php?title=Pentoad_1H2&oldid=114362 Tag: Manual revert |
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|viewerconfig = #C [[ GPS 2 ZOOM 16 LOOP 5 ]] | |viewerconfig = #C [[ GPS 2 ZOOM 16 LOOP 5 ]] | ||
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'''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{ | '''Pentoad''' (or '''eater-bound Z-hexomino'''<ref>{{LinkNiemiec|20et2z.rle|title=Eater-bound Z-hexomino glider synthesis RLE file|nobullet=nobullet}}</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.<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. | 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. | ||
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{{EmbedViewer | {{EmbedViewer | ||
|pname = pentoadwithtwohexominoes | |pname = pentoadwithtwohexominoes | ||
|viewerconfig = #C [[ THUMBSIZE 2 GPS 2 AUTOSTART ]] | |||
|position = center | |position = center | ||
|caption = Pentoad with two Z-hexominoes | |||
|caption = Pentoad with two Z-hexominoes | |style = width:360px; | ||
}} | }} | ||
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==External links== | ==External links== | ||
{{LinkLexicon|filename=lex_p.htm#pentoad}} | * {{LinkLexicon|filename=lex_p.htm#pentoad}} | ||
{{LinkCatagolue|xp5_y4ca23zwgg3226z6221}} | * {{LinkCatagolue|xp5_y4ca23zwgg3226z6221}} | ||
{{LinkPentadecathlonObject|20P5.9}} | * {{LinkPentadecathlonObject|20P5.9}} | ||
{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
{{seminatural}} | {{seminatural}} | ||
__NOTOC__ | __NOTOC__ | ||
Revision as of 09:46, 26 August 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.
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]
Gallery
| Pentoad with two Z-hexominoes (click above to open LifeViewer) RLE: here Plaintext: here |
See also
References
- ↑ Eater-bound Z-hexomino glider synthesis RLE file at Mark D. Niemiec's Life Page
- ↑ 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
- Pentoad at Adam P. Goucher's Catagolue
- 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 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