Difference between revisions of "Beluchenko's p51"
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rulemin = B3/S23  rulemin = B3/S23  
rulemax = B38/S23  rulemax = B38/S23  
+  rulespecial = [[Conway's Game of LifeConway Life]]  
+  isorulemin = B3/S23  
+  isorulemax = B38/S234c6i  
synthesis = 76  synthesis = 76  
synthesisRLE = true  synthesisRLE = true  
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−  
plaintext = true  plaintext = true  
rle = true  rle = true  
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viewerconfig = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]  viewerconfig = #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]  
}}  }}  
−  '''Beluchenko's p51''' or '''112P51''' is a [[period]]  +  '''Beluchenko's p51''' (or '''112P51''') is a [[period]] [[:Category:Oscillators with period 5151]] [[oscillator]] that was discovered by [[Nicolay Beluchenko]] on February 17, [[:Category:Patterns found in 20092009]].<ref>{{CiteHickersonOscillators}}</ref> It was the first nontrivial period 51 oscillator to be found, all previously known period 51 oscillators being made up of disjoint period [[:Category:Oscillators with period 33]] and period [[:Category:Oscillators with period 1717]] oscillators. It can be extended diagonally by making copies of itself share two [[block]]s as shown below. 
==Image gallery==  ==Image gallery==  
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{{Symmetryfull}}  {{Symmetryfull}}  
+  {{seminatural}}  
__NOTOC__  __NOTOC__ 
Revision as of 00:49, 8 June 2019
Beluchenko's p51  
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Pattern type  Oscillator  

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  
 
 
 

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 nontrivial 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 112 cells
 Patterns with 112 cells
 Patterns found by Nicolay Beluchenko
 Patterns found in 2009
 Patterns that can be constructed with 76 gliders
 Oscillators
 Periodic objects with minimum population 112
 Oscillators with period 51
 Oscillators with mod 51
 Oscillators with heat 154
 Oscillators with volatility 0.98
 Oscillators with strict volatility 0.98
 Patterns with complete square symmetry
 Seminatural periodic objects