86P118

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86P118
x = 41, y = 48, rule = B3/S23 30bo$30bobo$29bobo$31bo3$28bo$27bobo$27bobo$28bo6$7b2o8bo$7bo8bobo13b 2o$5bobo2b3o4bo12bo2bo$4bobo4b3o16bobo$2o3bo24b3o$2o7$39b2o$8b3o24bo3b 2o$8bobo16b3o4bobo$7bo2bo12bo4b3o2bobo$7b2o13bobo8bo$23bo8b2o6$12bo$11b obo$11bobo$12bo3$9bo$9bobo$8bobo$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 620 WIDTH 600 THUMBSIZE 3 ZOOM 12 GPS 40 LOOP 118 ]]
Pattern type Oscillator
Number of cells 86
Bounding box 48 × 41
Period 118 (mod: 118)
Heat 82.3
Volatility 0.95 | 0.91
Kinetic symmetry .e
Discovered by Period1GliderGun
iNoMed
Year of discovery 2024

86P118 is a period-118 oscillator discovered by Period1GliderGun on July 25, 2024.[1] The partially completed engine for this oscillator was found by iNoMed. In terms of its population of 86 cells, it is the smallest known oscillator of this period. It consists of 2 eater 5s, 2 toads, 2 tubs, 2 beehives and 2 clocks hassling 2 centuries.

A 46-glider synthesis was found by Chris857 on the same day it was discovered.[2] The cost was lowered to 43 gliders by KtT on August 13, 2024,[3][4] and further lowered to 37 gliders on March 19, 2025.[5][6]

As a sparker

As the only engine-based p118, 86P118 is useful for creating oscillators with periods that are a multiple of 118.

x = 61, y = 109, rule = B3/S23 32b2o$32b2o3$31bo$30bobo$31bo$28b3o$28bo30bo$57b2o$30bo15b3o10b2o$30b 2o14bobo3b2o4bo$30b2o14b3o2bo2bo$31bo7bo12b2o$39bo3bo$44bo$29bo9b2o2b o$28bobo$29bo5b3o$35b2o$35b4o$37b2o$36b3o5bo$43bobo$30bo2b2o9bo$29bo$ 30bo3bo$20b2o12bo7bo$19bo2bo2b3o14b2o$15bo4b2o3bobo14b2o$13b2o10b3o15b o$15b2o$14bo30bo$43b3o$16bo25bo$16b3o22bobo$19bo22bo$18bo2bo$18b4o2b2o $16b2o3bo2b2o14b2o$15bo2bobo19b2o$15b2obobo$18bo$18b2o6$11bo$11b3o13b 3o17b2o$14bo11bo3bo16bo$13b2o11b2ob2o13b2obo$19b2o20bo4bo$16b2ob2o19b o4bo$14bobo23bo3b3o$13bobo25bo4b2o$13bo32bo$12b2o33b3o$49bo6$41b2o$42b o$42bob2o$19b2o18b4o2bo$19b2o14b3o5b2o$35b5ob2o$38b2o2bo$18bo22bo$17b obo22b3o$18bo25bo$15b3o$15bo30bo$44b2o$17bo15b3o10b2o$17b2o14bobo3b2o 4bo$17b2o14b3o2bo2bo$18bo7bo12b2o$26bo3bo$31bo$16bo9b2o2bo$15bobo$16b o5b3o$22b2o$22b4o$24b2o$23b3o5bo$30bobo$17bo2b2o9bo$16bo$17bo3bo$7b2o 12bo7bo$6bo2bo2b3o14b2o$2bo4b2o3bobo14b2o$2o10b3o15bo$2b2o$bo30bo$30b 3o$29bo$28bobo$29bo3$27b2o$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 4 GPS 60 ]]
p236 pi-heptomino shuttle, found by Period1GliderGun on November 14, 2024[7]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 98, y = 83, rule = B3/S23 69b2o$69b2o3$68bo$67bobo$68bo$65b3o$65bo14b3o12bo$80bo3bo10bobo$67b2o 12b2obo9bobo$66bo10bo3bo7b2o5bo$69bo7bo2b3o5bo2bo$67b2o11b2o3bo3b2o$ 81bob2o$81b3o$66bo14b2o$65bobo$66bo4$81bo$80bobo$65b2o14bo$64b3o$63b2o bo$57b2o3bo3b2o11b2o$56bo2bo5b3o2bo7bo$51bo5b2o7bo3bo10bo$51bobo9bob2o 12b2o$50bobo10bo3bo$52bo12b3o14bo$80b3o$79bo$78bobo$79bo3$55b2o20b2o$ 55bo2bo18b2o$55bo2bo$19b2o35bobo$19b2o36bo3$18bo8bo2bo$17bobo6bo$18bo 8bo4b2o$15b3o10bobob3o$15bo30bo$44b2o$17bo14b2o12b2o$17b2o11b3o6b2o4bo $17b2o11b3o5bo2bo$18bo11bo8b2o2$22b2ob2o5b2o$16bo5b2ob2o5b2o$15bobo6bo $16bo4$31bo$23bo6bobo$14b2o5b2ob2o5bo$14b2o5b2ob2o2$7b2o8bo11bo$6bo2bo 5b3o11b2o$2bo4b2o6b3o11b2o$2o12b2o14bo$2b2o$bo30bo$13b3obobo10b3o$14b 2o4bo8bo$21bo6bobo$17bo2bo8bo3$27b2o$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 4 GPS 60 ]]
p118 Herschel+glider shuttle and double-barreled glider gun, found by Caleb R. Hilton on January 26, 2025[8] based on a glider-supported version by Timelord Missionary the same day[9]
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Catagoluehere


LCM oscillators

The LCM oscillators below are the smallest known ones of their period by population while satisfying the condition that at least one cell oscillates at the full period.

x = 45, y = 48, rule = B3/S23 30bo$30bobo$29bobo$31bo3$28bo$27bobo$27bobo$28bo6$7b2o8bo$7bo8bobo13b 2o$5bobo2b3o4bo12bo2bo$4bobo4b3o16bobo9b2o$2o3bo24b3o8bo2bo$2o40bobo$ 40b2obo$40b3o$40b2o4$39b2o$8b3o24bo3b2o$8bobo16b3o4bobo$7bo2bo12bo4b3o 2bobo$7b2o13bobo8bo$23bo8b2o6$12bo$11bobo$11bobo$12bo3$9bo$9bobo$8bob o$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 400 ]]
100P236 with mold[10]
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RLE: here Plaintext: here
Catagoluehere

References

  1. Period1GliderGun (July 25, 2024). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Chris857 (July 25, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  3. KtT (August 13, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. shinjuku (#7568266619) (August 13, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. KtT (March 19, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. shinjuku (#9462019429) (March 19, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  7. Period1GliderGun (November 14, 2024). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. Caleb R. Hilton (January 26, 2025). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  9. Timelord Missionary (January 26, 2025). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  10. Period1GliderGun (July 25, 2024). Re: Smallest Known Oscillators to period 106 (and Beyond) (discussion thread) at the ConwayLife.com forums