74P127

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74P127
x = 38, y = 39, rule = B3/S23 13bo$13b3o$16bo$15b2o3$7b2o20bo$7b2o8b3o8bobo$17b3o9bo$17bo$20bo2$17b 5o$19bo2b2o$21b2o$21bo14b2o$36b2o6$2o$2o14bo$15b2o$14b2o2bo$16b5o2$17b o$20bo$8bo9b3o$7bobo8b3o8b2o$8bo20b2o3$21b2o$21bo$22b3o$24bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 127 GPS 12 THUMBSIZE 2 HEIGHT 600 WIDTH 600 ZOOM 14 ]]
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Pattern type Oscillator
Number of cells 74
Bounding box 38 × 39
Period 127 (mod: 127)
Heat 61.6
Volatility 0.96 | 0.96
Kinetic symmetry .e
Discovered by Luke Kiernan
Year of discovery 2022

74P127 (also known as p127 century hassler) is a period-127 oscillator found by Luke Kiernan on July 2, 2022 using a symmetric variant of CatForce.[1] It is the first known prime-period oscillator above period 47 that does not rely on glider or signal loops.[2]

As noted by vivi, this oscillator can be extended into a wick in multiple different ways, including two different beehive-hassling reactions.[3]

x = 106, y = 45, rule = B3/S23 47bo44bo$47b3o40b3o$50bo38bo$49b2o38b2o3$13bo27b2o54b2o$13b3o25b2o54b 2o$16bo$15b2o37b2o28b2o$52b2obo28bob2o$52bo34bo$7b2o43b3o30b3o$7b2o2$ 20b2o$18b2obo$18bo$18b3o4$104b2o$104b2o3$51b3o32b3o$53bo32bo$2o48bob2o 32b2obo$2o48b2o36b2o$97bo$63b2o10b2o19bobo$17b3o43b2o10b2o20bo$19bo$16b ob2o$16b2o37b2o26b2o$8bo46bo28bo$7bobo19b2o25b3o22b3o$8bo20b2o27bo22b o3$21b2o$21bo$22b3o$24bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 6 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 127 ]]
Wick form
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A 28-glider synthesis of this oscillator was found on the day of its discovery.[4] A 24-glider synthesis of 74P127 was found by KtT on December 11, 2023.[5][6] On December 12, 2023, Chris857 lowered the cost to 20 gliders.[7][8]

LCM oscillators

The LCM 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.[9] The oscillators are shown with visible envelope to highlight interactions between components.

x = 39, y = 39, rule = B3/S23 25bo$4bo18b3o$4bo17bo$4bo17b2o$3b2o$bo$o4bo3bo10bo9b2o$o7bobo8b2o9b2o$ 2b3o4bo7b2o$15b2o2bo$19bo2bo$21bo$15bobo3bo$16b3o4bo2$b2o$b2o6$37b2o$ 37b2o2$16bo4b3o$18bo3bobo$18bo$17bo2bo$20bo2b2o$21b2o7bo$8b2o9b2o8bobo $8b2o9bo10bo3$16b2o$17bo$14b3o$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 381 ]]
86P381 with caterer
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RLE: here Plaintext: here
Catagolue: here
x = 41, y = 39, rule = B3/S23 27bo$25b3o$24bo$24b2o3$4bo6bo10bo9b2o$2b2obo4bobo8b2o9b2o$bo9bo7b2o$ob o2bo11b2o2bo$o2bo17bo2bo$b2o20bo$17bobo3bo$18b3o4bo2$3b2o$3b2o6$39b2o$ 39b2o2$18bo4b3o$20bo3bobo$20bo$19bo2bo$22bo2b2o$23b2o7bo$10b2o9b2o8bob o$10b2o9bo10bo3$18b2o$19bo$16b3o$16bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 508 ]]
86P508 with mold
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 39, y = 40, rule = B3/S23 10b2o$11bo13bo$8b2o13b3o$22bo$6bobo13b2o2$4bobo$9bo10bo9b2o$2bobo3bobo 8b2o9b2o$2bo6bo7b2o$o14b2o2bo$2o17bo2bo$21bo$15bobo3bo$16b3o4bo2$b2o$b 2o6$37b2o$37b2o2$16bo4b3o$18bo3bobo$18bo$17bo2bo$20bo2b2o$21b2o7bo$8b 2o9b2o8bobo$8b2o9bo10bo3$16b2o$17bo$14b3o$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 635 ]]
89P635 with pseudo-barberpole
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RLE: here Plaintext: here
Catagolue: here
x = 42, y = 39, rule = B3/S23 28bo$b2o23b3o$b2o22bo$25b2o$bo$obo$o2bo2b2o4bo10bo9b2o$4bob2o3bobo8b2o 9b2o$2b2o8bo7b2o$18b2o2bo$22bo2bo$24bo$18bobo3bo$19b3o4bo2$4b2o$4b2o6$ 40b2o$40b2o2$19bo4b3o$21bo3bobo$21bo$20bo2bo$23bo2b2o$24b2o7bo$11b2o9b 2o8bobo$11b2o9bo10bo3$19b2o$20bo$17b3o$17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 762 ]]
90P762 with unix
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RLE: here Plaintext: here
Catagolue: here
x = 43, y = 44, rule = B3/S23 5b2o$2o2bo$2o2bo$4b2o$7bo$3bobobo21bo$2b2o3bo19b3o$bo3b2o19bo$bobobo 20b2o$bo$3b2o$4bo2b2o4bo10bo9b2o$4bo2b2o3bobo8b2o9b2o$2b2o9bo7b2o$19b 2o2bo$23bo2bo$25bo$19bobo3bo$20b3o4bo2$5b2o$5b2o6$41b2o$41b2o2$20bo4b 3o$22bo3bobo$22bo$21bo2bo$24bo2b2o$25b2o7bo$12b2o9b2o8bobo$12b2o9bo10b o3$20b2o$21bo$18b3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 500 THEME Book STARTFROM 889 ]]
108P889 with 34P7
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RLE: here Plaintext: here
Catagolue: here
x = 43, y = 39, rule = B3/S23 29bo$27b3o$26bo$26b2o$2o$2obo$4bo8bo10bo9b2o$bo10bobo8b2o9b2o$2bob2o7b o7b2o$4b2o13b2o2bo$23bo2bo$25bo$19bobo3bo$20b3o4bo2$5b2o$5b2o6$41b2o$ 41b2o2$20bo4b3o$22bo3bobo$22bo$21bo2bo$24bo2b2o$25b2o7bo$12b2o9b2o8bob o$12b2o9bo10bo3$20b2o$21bo$18b3o$18bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 440 THEME Book STARTFROM 1016 ]]
86P1016 with figure eight
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RLE: here Plaintext: here
Catagolue: here
x = 38, y = 42, rule = B3/S23 2bo$2bo$bobo$2bo21bo$2bo19b3o$2bo18bo$2bo18b2o$bobo$2bo$2bo5bo10bo9b2o $7bobo8b2o9b2o$8bo7b2o$14b2o2bo$18bo2bo$20bo$14bobo3bo$15b3o4bo2$2o$2o 6$36b2o$36b2o2$15bo4b3o$17bo3bobo$17bo$16bo2bo$19bo2b2o$20b2o7bo$7b2o 9b2o8bobo$7b2o9bo10bo3$15b2o$16bo$13b3o$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 HEIGHT 500 Y -2 THEME Book STARTFROM 1905 ]]
86P1905 with pentadecathlon
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RLE: here Plaintext: here
Catagolue: here
x = 58, y = 39, rule = B3/S23 25b2o17bo$25bo16b3o$7b3o13bobo15bo$6bo3bo8bo3b2o16b2o$5bo4bo6b2obo$6bo b2o6bo4bo$2b2o3bo8bo3bo7bo10bo9b2o$bobo13b3o7bobo8b2o9b2o$bo26bo7b2o$ 2o32b2o2bo$38bo2bo$40bo$34bobo3bo$35b3o4bo2$20b2o$20b2o6$56b2o$56b2o2$ 35bo4b3o$37bo3bobo$37bo$36bo2bo$39bo2b2o$40b2o7bo$27b2o9b2o8bobo$27b2o 9bo10bo3$35b2o$36bo$33b3o$33bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 10 THUMBSIZE 2 WIDTH 640 HEIGHT 500 THEME Book STARTFROM 2794 ]]
110P2794 with Jason's p22
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RLE: here Plaintext: here
Catagolue: here


References

  1. ↑ cvojan (July 2, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ David Raucci (July 2, 2022). Message in #cgol on the Conwaylife Lounge Discord server
  3. ↑ vivi (July 2, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. ↑ Carson Cheng (June 28, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. ↑ KtT (December 11, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ shinjuku (#5724508693) (December 11, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  7. ↑ Chris857 (December 12, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  8. ↑ shinjuku (#5730405418) (December 12, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  9. ↑ Skopje repository (July 22, 2023)
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