Period-68 glider gun

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A period-68 glider gun is any glider gun that emits gliders with period 68.

Herschel loops

Many of first known guns above period 62 were built using Herschel track technology. The glider gun shown below[1] uses two instances of Fx153, two instances of L156 and two instances of p4 Lx65 to make a 748-tick Herschel loop with 11 signals in the loop.

In August 2021, the true period 68 gun was reduced to the bounding box 100 × 76 by replacing the eater 3 and the p4 sparker.[2][3]

#C https://entropymine.com/jason/life/#collections #C dpguns/guns1j-20121211.zip #C p00068.lif x = 102, y = 78, rule = B3/S23 81b2obobo$37bo14b2o27b2ob2obo$35b3o14bo24b2o8b3o4bo$34bo18b3o6b2o13bo 3b5o4bo2bobo$34b2o19bo6b2o11bobo2bo4b6o3bo$75b2o3bob2o$11bo69b2obob3o 3b5o$11b3o69bo5bo2bo4bo$14bo13bo2bo28bo23bo3b2o5bo2bob2o$4b2o7b2o12bo 3b2o22bo4bo24bo9b2obob2o$5bo21bo3bo19b2o2b2o4bo10bo3bo15bo5bo$5bob2o 18bo3bo12b2o5bo4bo3bo10b3obo2bo12bobo4bob2o$6bo21bo2bo12b2o6b2o17bobob o15bo2bo2b2ob2o$10bo19bo22b3o21bo14b2o$8bo68b2o$10bo2b2o56bo3bobo$12bo 2bo59bobo$10bo3bo$10bo36b2o$2bo7bobo13b2o20bo24b2o3bo$bobo7bo14bo20bo 13b2o3b2o5bo3bobo$2bo14b2o8b3o17b2o13bo3bo7bo3b2o10bobo$17bo11bo29b3o 5b3o5bo13bo2bo$18b3o38bo9bo3bob5o8b2o3bo$20bo51bobo4bo13bo$73bo2b2obob 2o$4b2o68b2obo2bobo5b3o2bo$3bobo72bobo11b2o$3bo75b2o8b3o$2b2o85b3o$13b 2o3b2obo$9bob4o3bob2o$7b2o2b2o$9b3o$15bo81b2o$12bobo82bo$12b2o84b3o$8b 3o2b2o85bo$8b2o3b2o$8bo$bo6b2obo$b3o5b3o$4bo5bo$3b2o84b2o$4b3o82b2o$5b 2o83bo$5bobo72b2obo6b3o$80bob2o5bo2bo$89b2obo5b2o$21b2o75bo$21bobo72bo bo$19bobo2bob2o68b2o$19b2obob2o2bo62b2o$22bo4bobo51bo6b5o$22b5obo3bo9b o38b3o6bo$26bo5b3o5b3o29bo11bo5bo$22b2o3bo7bo3bo13b2o17b3o8b2o5b3o6bo$ 22bobo3bo5b2o3b2o13bo20bo13bobo2bo3bobo$23bo3b2o24bo20b2o12bob5o4bo$ 53b2o20b2ob2obo7b2o2b2o$11b2o23b3o37b2obo2bo6bo$11b2o23bo2bo36bo5bo$ 16b3o16bo3bo38bobo2b2o$18bo16b4o15bo22b2obo3bo$8bo9bo17bo17bo23bobobob o$2ob2o2bobo4bo2bo36b3o24b3o$2obo3bo2bo28b2o15b2o$3bo2b4o28b3o16b2o12b obo$2obob3o30bo2bo14b2o13b2o14b2o$2obo2bo5b2o2b2o19bo34bo14bo$4bo4bo2b obobo2bo16bo51b3o$5b5o3bo6bo15bo4bo48bo10bo$17b3obo3b2o72bobo$7bo3b5o 5bo2bobo11bo2bo4bo19b2o32b2o$6bobo2bo4b5o3bo13b2o6b3o18bo$7bo4b3o8b2o 24bo14b3o$14bob2ob2o27b2o14bo$15bobob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 8 WIDTH 940 HEIGHT 740 THEME Book GPS 34 STARTFROM 86 ]]
A Herschel loop-based gun with bounding box 102 × 78. This gun was later reduced to 100 × 76 in August 2021[2][3]
(click above to open LifeViewer)
RLE: here Plaintext: here

Syringe based designs

Smaller syringe-based pseudo period guns were found in 2016-2018.

  • April 2016:[4] a gun with bounding box 114 × 63
  • October 2016:[5] a gun with bounding box 120 × 59
  • December 2017:[6][7] reduction to 120 × 58
  • June 2018:[8][9] reduction to 118 × 57
#C https://github.com/ceebo/glider_guns/commit/ace7af0ab3cf2cd936a82d2db6b625e12a595513 x = 114, y = 63, rule = B3/S23 75b2o$74bobo$16b2o55b3o14bo$15bo2bo54b2o13b3o$15bo15bo18b2o24b2o9bo$ 15bo13b3o17bobo23b3o9b2o$15bob2o9bo14b2o4bo$17b2o9b2o11bo2bo2b2ob4o29b o$41b2obobobobo2bo21b2o5bobo$44bobobobo24b2o4bo2bo$16b2o3b2obo19bobob 2o32b2o$16b2o2b3ob3o18bo$20b2obobo42b2o5b2o$22b3o33b2o9bo5bobo$22b3o 24b2o7bo10bobo5bo26b2o$49b2o5bobo11b2o2bo3bo24bobo$56b2o16bo3b2o22bo2b ob2obo$73bo5bo20b3obobobob3o$74bo4bo19bo4bobobo4bo$70bo7bo21bob2ob3ob 2obo$b2o71bobo23b2obo5bob2o$2bo65b3obo29bo2bobo2bo$2bobo47b3o12bob2o 29bo11bo$3b2o41b2o4bo14b2obo29bo2b2o3b2o2bo$47bo5bo11bob3o31bo2b5o2bo$ 44b3o$7b2o35bo22bo$6bo2bo25b2o$7bobo18b2o4bo2bo$8bo19b2o5bobo67bo$36bo 67bobo$104bo2bo$28b3o9b2o63b2o$6b3o20b2o9bo$4b7o15b2o13b3ob2o51bo$b2ob 2obob2ob2o12b3o14bobo52b2o9b2o$2bob2o3b2obo14bobo15bo42bo8bobo9bobo$bo bo7bobo14b2o15b3o38b3o22bo$bo2bobobobo2bo19b2o13bo36bo25b2o$2ob2ob3ob 2ob2o17bobo12b2o11b2o23b2o$o4bo3bo4bo17bo15b3o9b2o$b3obobobob3o17b2o 16bobo7b2o$3bob2obo2bo37bob2obo3b2o$8bobo6b2o31bo3b2o2bobo$8b2o8bo8bob o23bob2o3b2o35bo$18bob2o6b2o26b2o2bo36bo$19bo2bo5bo28b3o37bobo$20b2o 36bo40b2o$35b2o49b3o8bo2bo$35b2o35b2o15bo8bo$73bo12bo11bo2bo11bo$70b3o 6bob2o4b4o10bo9bobo$70bo6b3ob2o17bo11b2o$45b2ob2o26bo24b3o$43bobo3bo 27b3ob2o20bo$42bobo3bo12b2o16bobo$38b2obobo3bo13bobo15bobo$38b2obo2b4o bo13bo16bo10b2o$42bobo3bobo12b2o26bo$38b2ob2o2bo2bobo41b3o$39bobo2b2o 3bo44bo$27b2o10bobo$27b2o11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 6 WIDTH 800 HEIGHT 450 THEME Book GPS 34 STARTFROM 234 ]]
A 114 × 63 gun (April 2016)[4]
(click above to open LifeViewer)
RLE: here Plaintext: here
#C https://github.com/ceebo/glider_guns/commit/d504b133003c8c9fd74d36627d033f9bac8a2227 x = 118, y = 57, rule = B3/S23 73b2o14bo5bob2obo2bo2b2o3b2o$64bo9bo7bo6b3o3b2obob4o2bobobobo$64b3o7bo b2o2b3o9bo6bo4b2o2bobo$67bo7bo3bo11b2o7b3ob5o2bo2b2o$66b2o12bo21bo3b2o 4bo2bo$77b3o16bo8bo2b7o$19b2o50bo23bobo11bo$11bo7bo9bo40bobo22bo2bo2bo 2bo5b2ob2o$11b3o3bobo7b3o40bo2bo3b2o17b2o4b2o6b2ob2o$14bob3o7bo44b2o4b 2o$13bob2o9b2o$13bo2bo$22bo62bo$21bobo59b3o5b2o$14bo2bo2bo2bo58bo7bobo 23b2o$15b2o4b2o59b2o8bo23bo$114bobo$114b2o3$60b2o48b2o4b2o$61b2o46bo2b o3bo$2o38bo19bo11b2o35bobo5bo$bo27b2o7b3o30bobo5b2o29bo5b2o$bobo25bobo 5bo33bo7b2o34bo$2b2o25bo7b2o31b2o42bob2o$114bobo$84bo24b2o2b2obo$2o4b 2o72b2obobo23b2o2bo2b2o$bo3bo2bo70bobobobo2b2o23b2o$o5bobo64bo2bo2bobo bobobobo$2o5bo63b3o2b4ob2o2bobo24bo3b2o$2bo67bo9bo4bob2o23bo4bo$2obo 53b2o11b2o6bobo3b2o2bo5bo16b2ob3o$bobo53b2o19b2o6bo6bo16bobobo$bob2o2b 2o77b2o5b3o13bo2bo2b2o$2o2bo2b2o58b2o40b2obobo2bo$3b2o14bo6bo7bo31bo2b o30b2o10bo3b2o$20bo4bo3b2o2b3o29b2o33bo8b2obo$2o3bo12b3o4bo6bob2o30b2o 3bo25b2obo8b2obobo$o4bo20bo5b2ob2o30bo4bo23bo2bo13b2o$b3ob2o23bobo37b 3o24b2o$3bobobo22bobo49b2o$b2o2bo2bo21b2o14b2o34b2o$o2bobob2o37bobo$2o 3bo42bo$5bob2o39b2o$3bobob2o23b2obo33b2o3bo$3b2o25b2obobo33bo3bobo$33b 3o20b2o12bo3bobo$30b3o22bobo13bo3bobob2o$55bo13bob4o2bob2o$54b2o12bobo 3bobo$68bobo2bo2b2ob2o$36bo32bo3b2o2bobo$37bo39bobo10b2o$35b3o40bo11b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 6 WIDTH 800 HEIGHT 450 THEME Book GPS 34 STARTFROM 192 ]]
A 118 × 57 gun (June 2018)[9]
(click above to open LifeViewer)
RLE: here Plaintext: here


2021

In November 2021, a true period gun with bounding box 80 × 71 was built,[10][11] using a recently discovered p4 G-to-H.[12] The gun was quickly reduced to 79 × 69[13] and then to 79 × 68.[14]

#C https://gitlab.com/hatsya/open-source/catagolue/-/jobs/1827020206 x = 79, y = 68, rule = B3/S23 40bo10b2o$39bobobob2obobobo8bo2b2ob2o$39b2o2bo3b2obo4bo4bobo2bobo$47bo 2b2o3b3obo2b2obobo$42b2o2b2o2bob2obo5bo3bob2o$33b2o7b2o2bo5b2o5bo2b2o 2bo$25bo3bo4bo8bob3ob2o3b2o6b3obo$21bo2b2ob3o5bo9b2o7b2ob2o5bob2o$20bo bo3bobo5b2o10bobobobobo4bob4o3bo$21bo3b3o17b2obobo7b2obo3bob2o$17bo28b obo2b5obobob2o2bo$16bobo2bo2b2o18bob2ob2o5b2obobo4b3o$15bo2b7o19b2o4bo b3o5b2ob3o2bo$16b2o5b2o22b2obo2bo8bo4bo$18bo29bob2o3bo6bob3o$18bobo27b o5b2o7b2o$19bo29b3o$16b3o32bo$16bo4$21bo43bo$19b2o38b2o3bobo$20b2o38bo 3bo2bo$51b3o6bob2ob2o$25bob2o22bo9bobo$2o21b3obobo22bo9b3o4bo$bo20bo3b o2bo34b2o2bobo$bobo17bob2obobo36bobo2bo$2b2o17bobobobo37bo$20b2o3bo39b o4bo$19bo2bobobo38bo4b3o$2o4bo11bob2o5bo39b3o$bo4b2o9bo2bob2o2b2o42bo$ o6b2o8b2o3bo47bo$2o68b2o$2bo11bo7bo14b2o3bo$2obo8bobo5b2o10b2o4bo2bobo 26b2o$bobo9b2o7bo8bo2bobo4bobo26b2o$bob2ob3o13b2o8b3ob5obo25b2ob2o$2o 3b4o15b8o3bo4bo27b3o$3b3o18b6o2bo2bobo3bo26b2ob2o$3b2o20b4o2b2o3bobo3b o27b2o$2o35bo3b2o28bo$o3bo22bo28bo$b3obo19bo28b3o18b2o$5bo19b3o2bo22bo 21bobo$b3obo2bo9bobo2bo3bo3bo21b2o22bo$o4bob2o15bo6bo45b2o$2o2b2o23b3o 18bo15b2o$5bob2o7bo6bo26bo14b2o2bo$3bobob2o6bob2o6b4o25bo10b2o2b2o$3b 2o10bo7b3o2bo25b2o10bo2bo$14b2o7bo30b3o8bob2o$22b2obo28b2o10b2o$22b2o 26b2ob2o11bo$20bo2bo27b3o$20b4o16b2o10bo$41bo$20b2o16b3o6bob2o17b2o$ 20b2o16bo6b3ob2o17bo$44bo24b3o$45b3ob2o20bo$47bobo$47bobo$48bo8b2o$57b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 8 WIDTH 720 HEIGHT 620 THEME Book GPS 17 AUTOSTART KILLGLIDERS ]]
A 79 × 68 p68 glider gun[14] using a p4 G-to-H
(click above to open LifeViewer)
RLE: here Plaintext: here

2022

In September 2022, a new smaller (57 × 39) true period 68 glider gun not relying on glider loops or Herschel track technology was found,[15] reduced to 56 × 35 on the same day.[16][17] This new gun is based on a p68 lumps of muck hassler discovered on September 8, 2022.[18]

x = 41, y = 37, rule = B3/S23 25b2o$26bobo$18b2o3bo5bo$18b2o3b2o3bo2$24bobo$7bo11b2o4bo$6bobo9bo2bo$ 7bo10bobo$19bo3$35b2o$35b2o2$16b3o$9b2o3b2o2bo$2o6bo5bo2b2o$2o12b3o7b 3o12b2o$22b2o2bo5bo6b2o$22bo2b2o3b2o$22b3o2$4b2o$4b2o3$21bo$20bobo10bo $19bo2bo9bobo$15bo4b2o11bo$14bobo2$12bo3b2o3b2o$11bo5bo3b2o$12bobo$14b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 600 HEIGHT 400 THEME Book GPS 34 STARTFROM 68 ]]
A p68 lumps of muck hassler[18]
(click above to open LifeViewer)
RLE: here Plaintext: here
#C https://gitlab.com/hatsya/open-source/catagolue/-/jobs/3000752250 x = 56, y = 35, rule = B3/S23 25b2o$18b2o3bo2bo10bo$18b2o3b2o10b3o$23b3o8bo$25bo7bobo$7bo11b2o4bobob o2b3obo3b2o$6bobo8b2o2bo6b2ob4ob3o2bo$7bo18bo3b2o7b2o$16bo9bob2o5b2o2b o$16bo2bo6bobo6bobobo6bo$9bo4bo23bo5b3o4b2o$9bo3bobo3bo23bo3b2o2bobo$ 9bo5b4o24b3o3bobobo$9b2o36b2obobo$9b2o34bo4bo$42bo2bo3bo2bo$2o3b3o37bo 3bo$2o43bo3bo$33b3o5bo3bo3bo4b2o$41bo3bo3bo4b2o$30b2o13bo3bo$30b2o13bo 3bo$4b2o16b4o5bo10bo2bo3bo2bo$4b2o6bo8bo3bobo3bo13bo4bo$11bobo12bo4bo 15b2obobo$9b3o2bo6bo2bo18b3o3bobobo$4bo3bo3bobo9bo18bo3b2o2bobo$4b2o2b o2b2ob2o17bo10b3o4b2o$bo2b2o3b2o2bo5bo2b2o8bobo11bo$b3o2bo2b2o2b2o5b2o 11bo$6bo3bo4bo26bo$3b3o9b3o25b2o$3bo12b2o3b2o19b2o$14bo2bo3b2o$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 8 WIDTH 600 HEIGHT 400 THEME Book GPS 17 AUTOSTART KILLGLIDERS ]]
A p68 glider gun without glider loops or Herschel tracks[17]
(click above to open LifeViewer)
RLE: here Plaintext: here


2023

On March 6, 2023, iNoMed discovered[19] and Matthias Merzenich slightly reduced[20] a record-breaking small period-68 gun based on a new oscillator by Mitchell Riley.[21] The active region is the same one as in the 3c/7 wave.

x = 36, y = 33, rule = B3/S23 19b2o$19bo$11b2o3b2obo$11bo4bobo$12b3obo11b2o$14bob2o10bo$26bobo$26b2o 3$19bo$17b2ob2o$17bo4bo$22bo$21b2o11b2o$2b2o14b3o13bo$bobo28bobo$bo13b 3o14b2o$2o11b2o$13bo$13bo4bo$14b2ob2o$16bo3$8b2o$7bobo$7bo10b2obo$6b2o 11bob3o$17bobo4bo$16bob2o3b2o$16bo$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 HEIGHT 400 THEME Book GPS 34 STARTFROM 68 ]]
90P68[21][23]
(click above to open LifeViewer)
Catagolue: here
#C https://conwaylife.com/forums/viewtopic.php?p=158651#p158651 x = 39, y = 33, rule = B3/S23 15b2o$16bo$16bob2o3b2o$17bobo4bo$6b2o11bob3o10b2ob2o$7bo10b2obo13bobo$ 7bobo23bobo2bo$8b2o22b3ob3o$32b2o$13b3o16bo2bob2o$22b2o11bo2bo$11b2o2b ob2o2b4o8bobobo$10bobobo4b2o4bo8b2ob2o$9b5o5bo2b4o8bo$2o6b6o12b2o7b4o$ bo5b2o2b2o2bo3bobo4bobo9bo$bobo3bo5bo2b4o2bo5bo8bo$2b2o3bobo4bobo3bo2b 2o2b2o8b2o$8b2o12b6o$10b4o2bo5b5o$10bo4b2o4bobobo$11b4o2b2obo2b2o$12b 2o$20b3o15bo$36bobo$26b2o9b2o$26bobo$14bob2o10bo$12b3obo11b2o$11bo4bob o$11b2o3b2obo$19bo$19b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ MAXGRIDSIZE 9 THUMBSIZE 2 ZOOM 8 HEIGHT 400 THEME Book GPS 17 AUTOSTART KILLGLIDERS ]]
A p68 glider gun with bounding box 39 × 33[20]
(click above to open LifeViewer)
RLE: here Plaintext: here


See also

References

  1. ↑ guns1j-20121211.zip/p00068.lif
  2. ↑ 2.0 2.1 Matthias Merzenich (August 29, 2021). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ 3.0 3.1 shinjuku (#1545666642) (August 30, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  4. ↑ 4.0 4.1 "ceebo/glider_guns@ace7af0" (April 13, 2016).
  5. ↑ "ceebo/glider_guns@c8a8e5f" (October 9, 2016).
  6. ↑ Tanner Jacobi (December 15, 2017). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  7. ↑ "ceebo/glider_guns@2613fae" (December 25, 2017).
  8. ↑ Matthias Merzenich (June 3, 2018). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  9. ↑ 9.0 9.1 "ceebo/glider_guns@d504b13" (November 4, 2018).
  10. ↑ Tanner Jacobi (November 25, 2021). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  11. ↑ shinjuku (#1821893015) (November 26, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  12. ↑ EvinZL (November 25, 2021). Re: The Hunting of the Periodic Herschel Conduits (discussion thread) at the ConwayLife.com forums (and several other posts in the same thread)
  13. ↑ iNoMed (November 25, 2021). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  14. ↑ 14.0 14.1 shinjuku (#1827020206) (November 29, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  15. ↑ David Raucci (September 8, 2022). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  16. ↑ iNoMed (September 8, 2022). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  17. ↑ 17.0 17.1 shinjuku (#3000752250) (September 8, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  18. ↑ 18.0 18.1 David Raucci (September 8, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  19. ↑ iNoMed (March 6, 2023). Re: Gun Discussion Thread (discussion thread) at the ConwayLife.com forums
  20. ↑ 20.0 20.1 Matthias Merzenich (March 6, 2023). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  21. ↑ 21.0 21.1 Mitchell Riley (March 6, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  22. ↑ shinjuku (#3878775721) (March 6, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  23. ↑ There is also a variant 92P68 (Catagolue: here)[22]
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