Difference between revisions of "Beluchenko's p51"
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{{Oscillator|name= | {{Oscillator | ||
'''112P51''' is | |name = Beluchenko's p51 | ||
|pname = beluchenkosp51 | |||
|c = 112 | |||
|bx = 41 | |||
|by = 41 | |||
|p = 51 | |||
|m = 51 | |||
|h = 154.0 | |||
|v = 0.98 | |||
|sv = 0.98 | |||
|discoverer = Nicolay Beluchenko | |||
|discoveryear = 2009 | |||
|rulemin = B3/S23 | |||
|rulemax = B38/S23 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]] | |||
|isorulemin = B3/S23 | |||
|isorulemax = B38/S234c6i | |||
|synthesis = 43 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11 | |||
|niemiecid = 112p51-1 | |||
|pentadecathlonid = 112P51.1 | |||
|animated = true | |||
|viewerconfig = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]] | |||
}} | |||
'''Beluchenko's p51''' (or '''112P51''') is a {{period|51}} [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, {{year|2009}}.<ref name="jslife" /> It was the first non-trivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period {{period|3|brief}} and period {{period|17|brief}} oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. | |||
A {{gliders|76}} [[synthesis]] of this oscillator was found by [[Jason Summers]] and [[Matthias Merzenich]] in April {{year|2010}}.<ref name="jslife">{{CiteSummersPattern|name=jslife|accessdate=January 5, 2020}}</ref> This was improved to {{gliders|43|brief}} gliders by [[Chris Cain]] on January 5, {{year|2020}}.<ref name="post86974" /> | |||
Beluchenko's p51 first appeared on [[Catagolue]] in March {{year|2015}}.<ref name="post18307" /> | |||
==Image gallery== | ==Image gallery== | ||
{| | {| | ||
|- | |- | ||
|[[Image: | |[[Image:beluchenkosp51extended.png|framed|left|An extension of this oscillator<br />{{JavaRLE|beluchenkosp51extended|brief}}]] | ||
|} | |} | ||
==Also see== | |||
* [[Beluchenko's p37]] | |||
==References== | ==References== | ||
<references /> | <references> | ||
<ref name="post86974">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Synthesising Oscillators | |||
|p = 86974 | |||
|author = Chris Cain | |||
|date = January 5, 2020 | |||
}}</ref> | |||
<ref name="post18307">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Soup search results | |||
|p = 18307 | |||
|author = Richard Schank | |||
|date = March 27, 2015 | |||
}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
"[http://pentadecathlon.com/lifeNews/2009/03/new_oscillators_4.html New Oscillators]" at Game of Life News | {{LinkLexicon|lex_b.htm#beluchenkosp51}} | ||
{{LinkCatagolue|xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11|patternname=Beluchenko's p51}} | |||
{{LinkPentadecathlonObject|112P51.1}} | |||
* "[http://pentadecathlon.com/lifeNews/2009/03/new_oscillators_4.html New Oscillators]" at Game of Life News | |||
{{Symmetry|full}} | |||
{{seminatural}} | |||
__NOTOC__ |
Revision as of 18:52, 14 March 2020
Beluchenko's p51 | |||||||||||
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View static image | |||||||||||
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.
A 76-glider synthesis of this oscillator was found by Jason Summers and Matthias Merzenich in April 2010.[1] This was improved to 43 gliders by Chris Cain on January 5, 2020.[2]
Beluchenko's p51 first appeared on Catagolue in March 2015.[3]
Image gallery
Also see
References
- ↑ 1.0 1.1 Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
- ↑ Chris Cain (January 5, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Richard Schank (March 27, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
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 43 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
- Semi-natural periodic objects