58P37

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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 | 0.85
Kinetic symmetry .e
Discovered by Luke Kiernan
Year of discovery 2022

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.[1] It led to the construction of the first glider gun with true period 37,[2] consisting of one copy of 58P37 and one copy of Beluchenko's other p37 stabilizing a p37 reaction found by goldenratio in December 2021.[3] It was quickly found that Beluchenko's oscillator could also be replaced by 58P37, leading to the form shown below.[4]

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
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RLE: here Plaintext: here

Glider synthesis

Carson Cheng found a 26-glider synthesis of this oscillator on the day after its discovery.[5] Chris857 lowered the cost to 25 gliders in May 2023,[6][7] to 24 gliders in July 2023,[8][9] and then to 23 gliders on January 8, 2024.[10][11]

LCM Oscillators

If one of two eaters is uncapped, as with the period-37 gun, a block is produced. By deleting this block, LCM oscillators can be made. In the event that the block deletion doesn't work (here for SKOP 185 and SKOP 592), there is a duoplet spark that can work instead.


x = 27, y = 29, rule = B3/S23 14b2o4b2o$14bobo2bobo$16bo2bo$15bo4bo$15b2o2b2o$8bo8b2o$8b3o14b2o$11b o13bo$10b2o11bobo$23b2o$15b2o$15b3o$14bo2bo$15b2o$2o$bo$bobo19b2o$2b2o 19bobo$25bo$25b2o$10b2o$9bo2bo$9b3o$10b2o$2b2o$bobo11b2o$bo13bo$2o14b 3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 185 (37x5), min. pop. 76
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Catagolue: here
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
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RLE: here Plaintext: here
Catagolue: here
x = 40, y = 26, rule = B3/S23 21bo$21b3o14b2o$24bo13bo$23b2o11bobo$36b2o2$30bo$31bo$31b2o$13b2o15b2o $14bo14b2o$14bobo19b2o$15b2o19bobo$22b2o14bo$21b2o15b2o$20b2o$21bo$6b o5b2o8bo$7bo4bo2bo$2b2o2bo$bo2bobob2o18b2o$o4b2o2b2o4bo12bo$6b2obobo2b o14b3o$9bo2b2o17bo$o2bo4bo$2b2o5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 259 (37x7), min. pop. 85
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Catagolue: 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[12]
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RLE: here Plaintext: here
Catagolue: here
x = 35, y = 29, rule = B3/S23 16bo$16b3o14b2o$19bo13bo$18b2o11bobo$31b2o2$25bo$26bo$26b2o$8b2o15b2o $9bo14b2o$9bobo19b2o$10b2o19bobo$17b2o14bo$16b2o15b2o$15b2o$16bo$b2o4b 2o8bo$bobo3b2o$3bo$3b2o18b2o$b2o3b2o15bo$o2bob2ob2o14b3o$b2o3bob2o16b o$3b3o6bo$3bo2bob5o$4bobobo$5bo4bo$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 333 (37x9), min. pop. 93
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Catagolue: here
x = 39, y = 30, rule = B3/S23 20bo$20b3o14b2o$23bo13bo$22b2o11bobo$35b2o2$29bo$30bo$30b2o$12b2o15b2o $13bo14b2o$6bo6bobo19b2o$7b2o5b2o19bobo$5b2o14b2o14bo$7bo12b2o15b2o$19b 2o$2bo17bo$obo4b2o2b2o8bo$bobo2bobo2b2o$bo4b2o$12bo14b2o$11bobo2bo10b o$6b2o2bobo4b2o9b3o$6b2obobo3b2o13bo$10bo6bo2$12bo$10bobo$11bobo$11bo ! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 370 (37x10), min. pop. 97
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Catagolue: here
x = 36, y = 26, rule = B3/S23 17bo$17b3o14b2o$20bo13bo$19b2o11bobo$32b2o2$26bo$27bo$27b2o$9b2o15b2o $10bo14b2o$10bobo19b2o$7bo3b2o19bobo$6bobo9b2o14bo$7bo9b2o15b2o$16b2o $5b5o7bo$4bo4bo8bo$3bob2o$3bobobo$2obo3b2o15b2o$2obobo18bo$4bo5b2o13b 3o$10bobo14bo$12bo$12b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 407 (37x11), min. pop. 85
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Catagolue: here
x = 36, y = 34, rule = B3/S23 17bo$17b3o14b2o$20bo13bo$19b2o11bobo$32b2o2$26bo$27bo$27b2o$9b2o15b2o $10bo14b2o$10bobo19b2o$11b2o19bobo$18b2o14bo$17b2o15b2o$16b2o$17bo$9b 2o7bo$9b2o2$4bo2bo16b2o$bo6bo15bo$o7bo16b3o$bob2o3bo6b2o10bo$5b3o7b2o $10b3o$9bo3bo$9bo$9bo$10bo2bo$10bo2$10bobo$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 481 (37x13), min. pop. 85
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Catagolue: here
x = 37, y = 28, rule = B3/S23 18bo$18b3o14b2o$21bo13bo$20b2o11bobo$33b2o2$27bo$28bo$28b2o$10b2o15b2o $11bo14b2o$11bobo19b2o$12b2o19bobo$b2o5b2o9b2o14bo$b2o5b2o8b2o15b2o$17b 2o$18bo$bo7bo9bo$3o5b3o$o9bo$b3o3b3o15b2o$25bo$4bobo19b3o$28bo3$b2o5b 2o$b2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 ]]
SKOP 518 (37x14), min. pop. 85
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Catagolue: here
x = 27, y = 37, 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$18bo2$3b2o3b3o$3b2o3b3o2bo$8b2o2bobo$13bo3$7b2o$ 7b2obo$11bo$8bo$9bob2o$11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 6 ]]
SKOP 592 (37x16), min. pop. 86
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Catagolue: here


References

  1. ↑ cvojan (June 24, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ iNoMed (June 24, 2022). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ goldenratio (December 22, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. ↑ iNoMed (June 25, 2022). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  5. ↑ Carson Cheng (June 17, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ Chris857 (May 14, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ shinjuku (#4320345430) (May 21, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  8. ↑ Chris857 (July 7, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  9. ↑ shinjuku (#4617187174) (July 8, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  10. ↑ Chris857 (January 5, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  11. ↑ shinjuku (#5879995773) (January 8, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  12. ↑ Matthias Merzenich (June 25, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums


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