Difference between revisions of "Beluchenko's p51"

	Beluchenko's p51
	<a href="/wiki/File:Beluchenkosp51.png" class="image" title="Beluchenko's p51 image"><img alt="Beluchenko's p51 image" src="/w/images/d/d2/Beluchenkosp51.png" decoding="async" width="165" height="165" /></a>
	<a href="/wiki/File:Beluchenkosp51.png" class="image" title="Beluchenko's p51 image"><img alt="Beluchenko's p51 image" src="/w/images/d/d2/Beluchenkosp51.png" decoding="async" width="165" height="165" /></a>
	View animated image
	View static image
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
Rules
Outer-totalistic rules	B3/S23 – B38/S23
# of rules	21 = 2
Isotropic rules	B3/S23 – B38/S234c6i
Glider synthesis
Fewest gliders	76†
Catagolue-generated RLE	synthesis
Uploaded synthesis RLE	beluchenkosp51_synth.rle
	†Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files
Plaintext	beluchenkosp51.cells
RLE	beluchenkosp51.rle
Identifiers
apgcode	xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11
Niemiec ID	112p51-1
Pentadecathlon ID	112P51.1

Revision as of 03:24, 13 January 2019

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

An extension of this oscillator
RLE: here

Also see

Beluchenko's p37

References

↑ Dean Hickerson's oscillator stamp collection.

External links

Beluchenko's p51 at the Life Lexicon

Beluchenko's p51 at Adam P. Goucher's Catagolue

112P51.1 at Heinrich Koenig's Game of Life Object Catalogs
"New Oscillators" at Game of Life News

[1] Dean Hickerson's oscillator stamp collection.

[1]

@@ Line 1: / Line 1: @@
-{{Oscillator|name=112P51|pname=112p51|p=51|bx=41|by=41|h=154.0|c=112|discoverer=Nicolay Beluchenko|discoveryear=2009|synthesis=76|synthesisRLE=true|animated=true|life105=true|life106=true|plaintext=true|rle=true}}
+{{Oscillator
-'''112P51''' is an unnamed [[period]]-[[:Category:Oscillators with period 51|51]] [[oscillator]] that was discovered by [[:Category:Patterns found by Nicolay Beluchenko|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.
+|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        = 76
+|synthesisRLE     = true
+|life105          = true
+|life106          = 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]] [[: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:112p51extended.png|framed|left|An extension of 112P51<br />{{JavaRLE|112p51extended|brief}}]]
+|[[Image:beluchenkosp51extended.png|framed|left|An extension of this oscillator<br />{{JavaRLE|beluchenkosp51extended|brief}}]]
 |}
+==Also see==
+* [[Beluchenko's p37]]
 ==References==
@@ Line 12: / Line 44: @@
 ==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}}
+__NOTOC__