58P37

58P37
x = 27, y = 24, rule = B3/S23 8bo$8b3o14b2o$11bo13bo$10b2o11bobo$23b2o$15b2o$15b3o$14bo2bo$15b2o$2o $bo$bobo19b2o$2b2o19bobo$25bo$25b2o$10b2o$9bo2bo$9b3o$10b2o$2b2o$bobo 11b2o$bo13bo$2o14b3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 3 ZOOM 15 GPS 9 LOOP 37 ]]
View static image
Pattern type	Oscillator
Number of cells	58
Bounding box	27 × 24
Period	37
Mod	37
Heat	24
Volatility	0.85
Strict volatility	0.85
Discovered by	Luke Kiernan
Year of discovery	2022
Rules Outer-totalistic rules B3/S23 – B38/S238 # of rules 22 = 4 Isotropic rules B3-y/S23-cy – B34ce5ce6cn8/S234c5ejk6ei7e8
Glider synthesis Fewest gliders 23† Catagolue-generated RLE synthesis †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext 58p37.cells RLE 58p37.rle
Identifiers apgcode xp37_y432acy7oge2zggy84bb6z0346yf62sgzwggy16dd2z4701y7354c

58P37 (or p37 R-pentomino hassler) is a period-37 oscillator found by Luke Kiernan on June 24, 2022 via a symmetric CatForce search, and the smallest known oscillator of this period. It led to the construction of the first glider gun with true period 37, consisting of one copy of 58P37 and one copy of Beluchenko's other p37 stabilizing a p37 reaction found by goldenratio in December 2021. It was quickly found that Beluchenko's oscillator could also be replaced by 58P37, leading to the form shown below.

x = 55, y = 45, rule = B3/S23 36bo$36b3o14b2o$39bo13bo$38b2o11bobo$51b2o3$45b3o$47bo$28b2o14bo2bo$ 29bo14b3o$29bobo19b2o$30b2o19bobo$36b3o14bo$35bo2bo14b2o$35bo$35b3o4$ 19b2o22b2o$8bo11bo22bo$8b3o9bobo21b3o$11bo9b2o9bo13bo$10b2o19bobo$30bo 3bo$12b3o15bo3bo$12bo17bo3bo$12bo18bobo3b2o$13b2obo15bo4bobo$2o14b2o 21bo$bo37b2o$bobo19b2o$2b2o19bobo$25bo$9b2o14b2o$10bob2o23bo$14bo23b2o $14bo22b2o$12b3o$2b2o$bobo11b2o$bo13bo$2o14b3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 WIDTH 500 HEIGHT 500 THUMBSIZE 2 ZOOM 8 GPS 9 KILLGLIDERS AUTOSTART ]]

Period-37 glider gun (click above to open LifeViewer) RLE: here Plaintext: here

Glider synthesis

Carson Cheng found a 26-glider synthesis of this oscillator on the day after its discovery. Chris857 lowered the cost to 25 gliders in May 2023, to 24 gliders in July 2023, and then to 23 gliders on January 8, 2024.

Gallery

x = 33, y = 25, rule = B3/S23 14bo$14b3o14b2o$17bo13bo$16b2o11bobo$29b2o2$23bo$24bo$24b2o$6b2o15b2o$ 7bo14b2o$7bobo19b2o$8b2o19bobo$15b2o14bo$14b2o15b2o$13b2o$14bo$5b2o8bo $5b2o2$6bo14b2o$5bobo13bo$2o2bo2bo14b3o$2obo20bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]

SKOP 222 (37x6), min. pop. 67 (click above to open LifeViewer) RLE: here Plaintext: here

x = 29, y = 27, rule = B3/S23 10bo$10b3o14b2o$13bo13bo$12b2o11bobo$25b2o2$19bo$20bo$20b2o$2b2o15b2o $3bo14b2o$3bobo19b2o$4b2o19bobo$11b2o14bo$10b2o15b2o$9b2o$10bo$b2o8bo $o2bo$3bo$3bo13b2o$2obo13bo$2o16b3o$20bo2$b2o$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]

SKOP 296 (37x8), min. pop. 66 (click above to open LifeViewer) RLE: here Plaintext: here

External links

• 58P37 at Adam P. Goucher's Catagolue