56P27

56P27
x = 30, y = 30, rule = B3/S23 15b2o$15b2o5$13b2o$14b2o$10bo4bo$10bo3bo$10b2o7b3o$19bo2$2o21bo$2o5b2o 11bob2o$6b2obo11b2o5b2o$6bo21b2o2$10bo$8b3o7b2o$15bo3bo$14bo4bo$14b2o$ 15b2o5$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 27 THUMBSIZE 3 GPS 6 ZOOM 16 HEIGHT 640 WIDTH 640 ]]
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Pattern type	Oscillator
Number of cells	56
Bounding box	30×30
Period	27
Mod	27
Heat	51.3
Volatility	0.98
Strict volatility	0.98
Discovered by	Nicolay Beluchenko
Year of discovery	2010
Rules Outer-totalistic rules B3/S23 – B38/S2378 Important rules Conway Life # of rules 23 = 8 Isotropic rules B3/S23 – B34ci5acj6ci8/S234c5e6ein78
Glider synthesis Fewest gliders 20† Catagolue-generated RLE 56p27_synth.rle Uploaded synthesis RLE 56p27_synth.rle †Can be constructed with 16 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 56p27.cells RLE 56p27.rle
Identifiers apgcode xp27_y9330gzyb1789azy08q987yfooz33yfs2ib2zy6ai2sgzy910oo

56P27 is an unnamed period-27 oscillator discovered by Nicolay Beluchenko on May 11, 2010. In terms of its 56 cells, it is currently the smallest known period 27 oscillator. It gives dot sparks, allowing for the construction of non-trivial higher-period oscillators as seen in the following section.

It first appeared semi-naturally in October 2017, in a symmetric soup submitted to Catagolue by Apple Bottom.

A 52-glider synthesis for this oscillator was found by Martin Grant in 2013, which was reduced to 20 gliders by 2718281828 in November 2017.

On January 29, 2022, David Raucci used 56P27 with a block removed to create the period-27 glider gun.

LCM oscillators

The oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.

x = 34, y = 30, rule = B3/S23 19b2o$19b2o$2b2o$2bobo$6b2o9bo$3bo2bo8bob2o$6b2o6bo2bo$bobobo2bo8bo$3b 2o2b2o5b3o$ob2o$bo23bobo$25bo2bo$25bo$4b2o20b4o$4b2o22bo$9bo22b2o$8b4o 20b2o$12bo$9bo2bo$10bobo2$21b3o$20bo$20bo2bo$19b2obo$20bo3$17b2o$17b2o ! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 LOOP 108 ZOOM 12 HEIGHT 450 ]] p108 with 22P4.3 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here	x = 35, y = 30, rule = B3/S23 15b2o$15b2o5$13b3o$13bobo$15bo$9b2o9bo$10b2o7b2o$19bo2$2o20b2o$2o4b3o 14bo$6bo14b3o4b2o$6b2o20b2o2$10bo$9b2o7b2o$9bo9b2o$14bo$14bobo$14b3o 10bo4bo$25b2ob4ob2o$27bo4bo3$13b2o$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 LOOP 135 ZOOM 12 HEIGHT 450 ]] p135 with pentadecathlon (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here	x = 42, y = 36, rule = B3/S23 15b2o$15bobo$16b3o$17b2o$13bo2b2o$13b4o$14bo$10bo$9b2o8bo$12bo4bobobo$ 8b2ob2o4bo3b2o$2b2o8bo4bobo$b4o4b3o6b3o$obob2o18b2o$2o3bo17b2o$5b2o17b o3b2o$4b2o18b2obobo$9b3o6b3o4b4o$10bobo4bo8b2o3b2o$7b2o3bo4b2ob2o8bo2b o$8bobobo4bo10bo$10bo8b2o6bo$19bo6bo5bo$15bo11b2o5b2o$13b4o15b3obo$12b 2o2bo16b2obo$11b2o22bo$11b3o18bo$12bobo16bob2o$13b2o16bob3o$32b2o5b2o$ 35bo5bo$40bo$39bo$34bo2bo$35b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]] p189 with 32P21 (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here
x = 30, y = 37, rule = B3/S23 26b2o2$25bo3bo$24bo4bo$23bobobo$22bobobo$20bo4bo$15b2o3bo3bo$15bo2bo$ 22b2o2$13bo4bo$13bo2b2o$13b2o$9b2o$9b3o6bobo$8bo3bo8b2o$11b3o2b2o3b2o$ bo2bo3bo3bo4bobobo$5bo4b2o6b3o$o4bo4bo8bo3b3o$2o21bo$6bo21b2o$4b3o3bo 8bo4bo4bo$9b3o6b2o4bo$8bobobo4bo3bo3bo2bo$7b2o3b2o2b3o$7b2o8bo3bo$9bob o6b3o$19b2o$15b2o$12b2o2bo$11bo4bo3$11bo2bo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]] p216 with figure eight (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here	x = 30, y = 40, rule = B3/S23 16b2o4b2o$16bo5b2o$17bo$16b2o2b4o$14bo2bobo4bo$14b2o3bob4o$18bo2bo3b2o $18bo2bob2o2bo$22bobob2o$20bobobo$15b2o3bo3bo$15bo2bo3b2o3$13bo4bo$13b o2b2o$13b2o$9b2o$9b3o6bobo$8bo3bo8b2o$11b3o2b2o3b2o$bo2bo3bo3bo4bobobo $5bo4b2o6b3o$o4bo4bo8bo3b3o$2o21bo$6bo21b2o$4b3o3bo8bo4bo4bo$9b3o6b2o 4bo$8bobobo4bo3bo3bo2bo$7b2o3b2o2b3o$7b2o8bo3bo$9bobo6b3o$19b2o$15b2o$ 12b2o2bo$11bo4bo3$11bo2bo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 11 HEIGHT 450 ]] p297 with p11 domino sparker (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

See also

• 94P27.1
• 123P27.1
• Merzenich's p64

External links

• 56P27 at Adam P. Goucher's Catagolue