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 18 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 # of rules 23 = 8 Isotropic rules B3/S23 – B34ci5acj6ci8/S234c5e6ein78
Glider synthesis Fewest gliders 20† Catagolue-generated RLE synthesis Uploaded synthesis RLE 56p27_synth.rle †Can be constructed with 15 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 LCM oscillators as seen below.

It first appeared semi-naturally in October 2017, in a symmetric soup submitted to Catagolue by Apple Bottom. Approximately 1 in 10 billion even fourfold rotationally symmetric soups (C4_4) form a 56P27.

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 satisfying the condition that at least one cell oscillates at the full period.

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 ]]

68P135 with pentadecathlon (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

x = 42, y = 36, rule = B3/S23 15b2o$15b2o3$13bo$11b3o$10bo2bo$9bob2o$11b2o$22bo$23bo$21b2obo$21b2obo $2o21b3o$2o$28b2o$4b3o21b2o$5bob2o$5bob2o22b2o$6bo24b2o$7bo$17b2o8bo$ 17b2obo5bobo$16bo2bo7bo3b2o$16b3o$16bo14b2o2b2o$31b2obo2bo$30bo2bob2o$ 13b2o16b2o2b2o$13b2o$35b2o3bo$39bobo$40bo2$35b2o$35b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 54 THUMBSIZE 2 ZOOM 10 HEIGHT 450 ]]

88P189 with 32P21 (click above to open LifeViewer) 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 10 HEIGHT 450 ]]

97P297 with p11 domino sparker (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here

See also

• 94P27.1
• 123P27.1
• Merzenich's p64
• Beluchenko's other p37

External links

• 56P27 at Adam P. Goucher's Catagolue