Beluchenko's p51

112P51
#N 112P51 #O Nicolay Beluchenko #C The first true period 51 oscillator found. Discovered in March 2009. #C www.conwaylife.com/wiki/index.php?title=112P51 x = 37, y = 37, rule = 23/3 15b2o3b2o15b3$6b2o21b2o6b$6b2o21b2o6b2$3b2o27b2o3b$3b2o9b2o5b2o9b2o3b$ 9b3ob2o7b2ob3o9b$8bobo15bobo8b$8b2o17b2o8b$8bo19bo8b2$8bo19bo8b$7b2o 19b2o7b$o6bo21bo6bo$o35bo4$o35bo$o6bo21bo6bo$7b2o19b2o7b$8bo19bo8b2$8b o19bo8b$8b2o17b2o8b$8bobo15bobo8b$9b3ob2o7b2ob3o9b$3b2o9b2o5b2o9b2o3b$ 3b2o27b2o3b2$6b2o21b2o6b$6b2o21b2o6b3$15b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 51 GPS 25 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
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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
Rules Outer-totalistic rules B3/S23 – B38/S23 # of rules 21 = 2
Glider synthesis Fewest gliders 76† Catagolue-generated RLE synthesis Uploaded synthesis RLE 112p51_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 112p51.cells RLE 112p51.rle
Identifiers apgcode xp51_oo033wgwgggy1gggwgw330oozy04e9130111y11110319e4zy077yf77zy0ooyfoozy09t40gy9g04t9z660gg01310333y133301310gg066zx11yh11 Niemiec ID 112p51-1 Pentadecathlon ID 112P51.1

112P51, also called Beluchenko's p51, is a period-51 oscillator that was discovered by Nicolay Beluchenko on February 17, 2009. 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

File:112p51extended.png An extension of 112P51 RLE: here

External links

• Beluchenko's p51 at Adam P. Goucher's Catagolue
• "New Oscillators" at Game of Life News