Difference between revisions of "Beluchenko's p51"
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'''Beluchenko's p51''' is a [[period]]-[[:Category:Oscillators with period 51|51]] [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, [[:Category:Patterns found in 2009|2009]].<ref>{{CiteHickersonOscillators}}</ref> It was the first non-trivial period-51 oscillator to be found, all previously known period-51 oscillators being made up of disjoint period-[[:Category:Oscillators with period 3|3]] and period-[[:Category:Oscillators with period 17|17]] oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. | '''Beluchenko's p51''' or '''112P51''' is a [[period]]-[[:Category:Oscillators with period 51|51]] [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, [[:Category:Patterns found in 2009|2009]].<ref>{{CiteHickersonOscillators}}</ref> It was the first non-trivial period-51 oscillator to be found, all previously known period-51 oscillators being made up of disjoint period-[[:Category:Oscillators with period 3|3]] and period-[[:Category:Oscillators with period 17|17]] oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. | ||
==Image gallery== | ==Image gallery== |
Revision as of 06:12, 23 December 2018
Beluchenko's p51 | |||||||||||
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Pattern type | Oscillator | ||||||||||
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Number of cells | 112 | ||||||||||
Bounding box | 41 × 41 | ||||||||||
Period | 51 | ||||||||||
Mod | 51 | ||||||||||
Heat | 154.0 | ||||||||||
Volatility | 0.98 | ||||||||||
Strict volatility | 0.98 | ||||||||||
Discovered by | Nicolay Beluchenko | ||||||||||
Year of discovery | 2009 | ||||||||||
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Beluchenko's p51 or 112P51 is a period-51 oscillator that was discovered by Nicolay Beluchenko on February 17, 2009.[1] It was the first non-trivial period-51 oscillator to be found, all previously known period-51 oscillators being made up of disjoint period-3 and period-17 oscillators. It can be extended diagonally by making copies of itself share two blocks as shown below.
Image gallery
Also see
References
External links
- Beluchenko's p51 at the Life Lexicon
- 112P51.1 at Heinrich Koenig's Game of Life Object Catalogs
- "New Oscillators" at Game of Life News
Categories:
- Patterns
- Oscillators with between 110 and 119 cells
- Periodic objects with minimum population between 110 and 119
- Patterns with between 110 and 119 cells
- Patterns found by Nicolay Beluchenko
- Patterns found in 2009
- Patterns that can be constructed with between 70 and 79 gliders
- Oscillators
- Oscillators with period 51
- Oscillators with mod 51
- Oscillators with heat between 150 and 159
- Oscillators with volatility 0.98
- Oscillators with strict volatility 0.98
- Patterns with complete square symmetry