Period-14 glider gun

Period-14 glider gun
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View static image
Pattern type	Gun
Number of cells	8519
Bounding box	385 × 337
Period	70
Barrels	1
Discovered by	Karel Suhajda
Year of discovery	2004
Rules Outer-totalistic rules B3/S23 only # of rules 20 = 1 Isotropic rules B3/S23 – B3/S234c
Pattern files RLE period14glidergun.rle

Period-14 glider gun is a pseudo-period 14 gun discovered by Karel Suhajda. It has the smallest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. The actual period of the gun is 70.

More generally, this term may refer to any glider gun which emits a period 14 glider stream. There is no known true-period p14 glider gun, and finding a small direct example is well beyond current search algorithms' abilities. The first pseudo-period 14 gun was built by Dietrich Leithner on 26th November 1994, which interleaved 15 streams of period 210. Leithner subsequently optimised the gun in both 1995 and 1996, the latter of which has a bounding box of 695-by-689. Dean Hickerson moved several of the period-210 guns to shrink the bounding box to 528-by-522. Jason Summers reduced this to 440-by-307 on 28th November 2001 by injecting the gliders in a different order and bending the gun in the middle by means of p7 bouncers.

Further improvements followed by redesigning the gun with a different base period. Following Suhajda's p70-based gun in February 2004, Chris Cain discovered a period-84 Herschel source in April 2016 that facilitated a smaller gun of base period 84. Several incremental improvements followed, for example by the use of the 34P14 shuttle or the period-28 glider gun. The final version at this base period was 236-by-213, built by Adam P. Goucher in December 2020.

Tanner Jacobi created a smaller (224-by-206) gun at a base period of 28, also in December 2020, using seven copies of the p28 glider gun in total (three to drive each of two LWSS guns which inject gliders into the stream produced by the first gun).

A smaller period-14 gun was discovered by Jacobi and reduced by Goucher on August 18, 2021 using p21 B-heptomino hasslers both as a period-21 gun and as a sparker to convert gliders to LWSSes. The true period of that gun is 42.:

x = 159, y = 151, rule = B3/S23 65b2o$53b2o4bo2bo2bo$26bo27bo2b6o4bo$26b3o10b2o13bobo6b4obo4b2o$14b2o 13bo8bo2bo11b2o2bob3o4bobo4bo74bobo$14bo13b2o8bobobo11bobob2ob2o2b2obo bo3b3o66b2o2bob2o2bo$16bo20b2obobo11bob2o3bo3bob2ob4o2bo66bo3bo3b3o$ 15b4o12bo4bo4bob2o8b2o2bobob4o4bo4bobobobo63b3ob2o$14bo4bo10bobo3b2obo bo2bo10bobob2o4b3o3b3obob2ob3o63bobob2o$14b5obo5b2o2b2o4bo3b2o2bob2o7b o2bo3b3o2b2ob2o3bo7bo67bo$12b2o4bobo5b2o9b2o2bob2o2bo6b2o3b3o2bo10bob 2ob3o23b2o39bob2o$11bo2bo5b2o16bobobo2b2o14bo14bobobo25bobo9b2o5b2o20b o3b3o$11b2obobobo2bo16bob5o32bo29bo9bo2bo3bo2bo21b2o2bo$14bo2bob3o17bo 4bo93bob2o8bobo$14b2obo3bo18b4o18bo13bo7b2ob2o31bo3bo13b2o2bob2ob2obob 2o$16bobob2o20bo19bo3b2o2bo5b2o7bobo21bo8bo7bo14b2obobo3bo2bo$16bobobo 4b2o9bo7bo16bo2bob3obo7bo8bo20bo2bo6b2o5b2o11b3o3bobo4b2o$17bo2bo5b2o 9bo5b2o18bob3obo2bo3b2o6bo2bob2o21bo8bobo14bo2b4ob5o$12b2o4b2o5bo9b3o 25bo2b2o3bo4bo6b3obobo22bo4bo2b2ob2o2bo6bobobobo4bo4bo$6bob2obobo41b2o 14bo10bo3b2obo19b3o4bobo2bobo2bobo3b3ob2obob3obob3o$6b2obobobob2o37bob o26b2o3bo8bo3bo14bo2bobobobo2bo2bo7bo3b2ob2o$10bo2bo2bo3b2o32bo30b3o5b o2bobobobo2bo14bo3bo7b3ob2obo$13b2o4bobo31b2o10bo19bo7bobo2bobo2bobo4b 3o21bobobo$12b2o7bo43b2o27bo2b2ob2o2bo4bo27bo19b2o$13bo11b2o5b2o23b2o 39bobo8bo33b2o11bobo$14bo10b2o5b2o23b2ob3o2bobo8bobo16b2o5b2o6bo2bo6b 2o4b2ob2o10b2o5bo8bo$9b2o50bo5bo7bo7bo11bo7bo8bo7bo6bobo10bob6o2bo2b2o $8bobo15bo5bo14bo14b5o8bo6b2o13bo3bo16bobo6bo11b2o10bob3o$8bo17b2o3b2o 12bobo27bo2bo3bobo33b2o4b2obo2bo9b3obo10b2o$7b2o9bo7bobobobo13b2o14b5o 8b3o16bo2bo3bo2bo10bo9bobob3o9b2o2bo2b6obo$17b3o8bobo30bo5bo27b2o5b2o 4bobo4b2o8bob2o3bo14bo5b2o$3b2o11b2obo8bobo26b2ob3o2bobo40b2o4bobo9bo 3b2o19b2o$bo3bo17b2obobobobob2o21b2o50bo5bo11b3o$2obobo2b2o14bo3bobo3b o30b2o45bo2b2obo10bo8bobo7b2o$5bobo3bo14b2o3b2o32bo46b2obobobob2o14bo 10b2o$5bobobob2o56b2o32bo11bobob2obo14bo11bo3bob3o$3bobobo8bob2o49bo 33bobo3b2o4b2o20bo2bo7bo3b6o$3b2o2bo8b3o38bo9bobo14b2o7b2o8b2o3bo2bo 25b3o7bo6bo$3bo3bobo7bo40bo8b2o15bo7b2o14bobobo35b5o$8b2o46b3o27bo7bo 12b2obobo16b2o$2b2o5bo75b4o17bo4bob2o15b2o16b5o$2b2o41b2o16b2o19bo4bo 16b2obobo2bo14bo17bo6bo$9b2o35bo15bo2bo18bobobobo15bo3b2o2bob2o30bo3b 6o$9b2o35bobo13bobo17b2o4bobo16b2o2bob2o2bo31bo3bob3o$14b2o31b2o14bo 17bo2b2o4b2o9b2o5bobobo2b2o31b2o$bo2bo2bo7bo6bo58b2obo2bobo2bo4b2o2b2o 5bob5o33b2o$b7o2bob3o5b3o32bobo16bobo7bo2bo3b3o2bobo10bo4bo$8b3obo6bo 31b2ob3o8b2o10bo6b2obobo2bo4bo12b4o$3b2obo12b2o29bo2b2obo7b4o9bo8bobob 2o20bo$2bo3b3o15b2o5b2o9b2o7bobo9bobo2bo5bo2bo8bobobo8b2o2b2o9bo4bo$2b obo4bo14b2o5b2o10bob2o5bo10b2o2bobo5b3o9bo2bo8bo3bobo7b2o4b2o$b2o2bob 2obo6bo27b3o20bobo17b2o3b2o5b3o2bo12bobo$2bobo3bobo5b3o26bobo22b2o21bo bob3o5b2o$2bob2obo2b2o3bo2b2o4b3o3b3o11b2ob2o20b3o24b2o2bo$b2o4bobo5bo 3bo2bo4bobo4bo9b2o2bo3b2o8bo5bobo29bo35bobo$3bobobobo7bobo7bobo14b2o4b o2bo6bobo5b2o26b4ob2o36bo$3bobobob2o10bo3bobobobo3bo12bobobo8b2o33bo2b obobob2o32bo$2obo4bo5b2ob2o3bo2bobobobo2bo49b2o8b2o2b2obobob2o29bo2bo$ 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o2bobob2o2b2obo6bo6bo5b2o2bo$17bo16bobo5b3obob3o14b2ob4o23b2ob2o2b2o2b o7bo2b2o5bo6bo$34bo9bobobo18bo9bo18bo4bo2b2o3b2o4bob2o4b6ob2o$63b3obob o5b3o18bobobo2bo5bo13b2o4bo$21b2o22b3o14bo2bo2b2o4bo10b2o6bo3b2ob4o8bo 14b2o$21b2o38bobobo8b2o9b2o7bo4bo7b5ob2o$22bo3bob3o30bobob2o25b3o4bobo 5bo2bob2o9b2o$21bo3b6o15bo12b2obobo3bo3bo12b4o11b2o6b2o15bo5bo$20bo6bo 17bobo11bo2bo2b2obo2bobo10bo4bo7bo12bo4b2o7bo2b2o3bo$21b5o19b2o9b2obob obo4bo3b2o2b2o5bobobobo5bobo10b2o5bo7bo3bo4bo$39bo9b2o5bo2b2o2bob2o9b 2o5bobo4b2o4b2o10bo7b3o3bo2bo3bobo$21b5o13b2o8bobo5b2o3bo2bo16b2o4b2o 2bo16bo8bo4b4o$20bo6bo10bobo3b2o5bo7b2ob2obo8bo6bo2bobo2bob2o15b2o$21b o3b6o13b2o5b2o6bo4bo8b2o5b3o3bo2bo33b4o$22bo3bob3o29b4o9bobo5bo2bobob 2o32bo2bo3bobo$21b2o38bo20b2obobo16bo18bo3bo4bo3bobo$21b2o10b3o5bo17bo 23bobobo14bobo19bo2b2o3bo6bo$10b2o23bo4b3o16b2o22bo2bo16b2o20bo5bo7bo$ 10bobo11b2o8bo4bobobo34b3o3b2o4b2o15bo15b2o11bo2bo$11bo8bo5b2o9b3o3b3o 32bo11bobob2obo10bo28b3o$14b2o2bo2b6obo7bo3bobo3bo16bo15bo7b2obobobob 2o8b3o$13b3obo10b2o6bob2o4b2obob2o12bobo21bo2bo2bo$12b2o10bob3o8bo2b3o 4bob2o12b2o24b2o$13bob6o2bo2b2o5b2o3b2o5bobo36b2o4b2o$14b2o5bo12bo5bo 2bo3bo22b2o5b2o4b2o5bo$16b2o12bobo7b4ob2o23b2o5b2o6bo3bo24bo$30bo2b4o 7bo48b2o20bo$19b2o9b2o4bo5bobo26bo5bo15bobo17b3o$19b2o13b2o6b2o27b2o3b 2o8bo8bo$11b3obo3bo7b2o4bo37bobobobo9b2o6b2o21bo$11b6o3bo7bo5b2o17bo 19bobo8b2o30bobo$14bo6bo3b3o7bo16bo20bobo10bo30b2o$16b5o4bo8bo17b3o13b 2obobobobob2o4bo$34b2o33bo3bobo3bo4b4o6b2o3b2o$16b5o50b2o3b2o6b4o4bo3b obo3bo$14bo6bo10bo53bo4b2obobobobob2o$11b6o3bo11b3o50bo10bobo26bo12bob o$11b3obo3bo9bo5bo50b2o8bobo24bobo11bo$19b2o8b6obo46b2o9bobobobo23b2o 11bo12b2o$19b2o13bobo48bo8b2o3b2o27bo8bo2bo10bo$29b2o2bo2b2o56bo5bo28b o7b3o9bo$29bobo2b2o6bo84b3o17b4o$24bo8bobo6bobo37bo10b2o5b2o44bo4bo$ 23bobo8bo7b2o37bobo9b2o5b2o43bob5o$23bobo55b2o62bo2bo3b2o$22b2ob2o117b 2obob3o2bo$135bo11bobobob2o$22b2ob2o14b2o40b2o40b2o9bo4b2o2b2obo2bo$ 23bobobo2b3o7b4o19b2o17b4o19b2o17b4o6b3o9bobob2o$17b2ob3o3bo3bobo7b2ob 2o16b2ob2o16b2ob2o16b2ob2o16b2ob2o15b2obobo$18bobo2b3o4bobo9b2o17b4o 19b2o17b4o19b2o11bo5bobobo$17bo2bobo39b2o40b2o31bobo5bo2bo$17bobobobo 114b2o6b2o$18b2obobo9bo108bo$9b2o10bob2o6bobo109bo$9bobo6b4o9bobo107b 3o$11bo5bo4b2o2b2o3bo98b5o$11b2o2bo4b2o106b3obob3o9bo$9b2o3bo4bo3b2o4b 3o8b2o3b2o80bo4bo4bo6bobo$8bo2b2obo3bo2bobo8b3o3b3obobob3o77bob2obo2b 2obo7b2o$9bobo2bo4bo3bo13bo2bobobobo2bo76bobo3b2o2bo12bo$8b2o2bobob4ob 2o9bo3bo3bobobobo3bo74b2obo2bo2b2o14bo$10bob2obo4bo9bobo9bobo78bo2bobo 4bo14b3o$10bo4bob2obo9bobo4bo4bobo4bo73b2o2b2ob4o$9b2o4b2ob2o10bo8b3o 3b3o81bo23bo$129bobo19bobo$130b2o20b2o$28bo10b2o5b2o108bo$27bobo9b2o5b 2o109bo$27b2o126b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 14 HEIGHT 640 WIDTH 640 LOOP 84 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 ]]

Former smallest pseudo-period p14 gun (click above to open LifeViewer) RLE: here Plaintext: here

The smallest period-14 gun known to date was found by iNoMed (with slight improvements by Goucher and Jacobi) on February 14, 2022, based on a smaller p28 gun found by James Pascua the same day, and therefore has a true period of 28. Jacobi's version has a 119-by-95 bounding box.

x = 110, y = 84, rule = B3/S23 27b2o3b2o4b2o$27bo4bo6bo15b2o36b2o$20bo7b3obo6bobo13bobo22b3o11bo5bobo $20bo2bo6bobob2o4b2o2b2o35b2o9bobob2obob2o2bo$15b2o3bo2bo7bob2o10bo33b o2b2o2bobob5o2bobo3b3o$15bo4bo3bo5b2o4bo6b2o19b2o13b2o3bobo8bobo2b2o$ 16b2o2bo2bo2b3o2b6o6b3o3bo7b2o5bo2bo16bo4bo5bob2obob2o$18b2o4b7o14b2ob 2o11b2obob2o11b2o12bo2bobo5bo$16b2ob2o11bobo10b2o14b2obobo3bo9bo9bo7bo 2b2obo$15bo2bobo12b2o4b2o7b2o15bob4o9bobo7b2o6bo3b3ob2o$15b2o2bo19bobo 5b3o2b2o3bo6bobo14b2o6b2obo5bob2o4bo$37bobo2bo5b2obo2bobobo3b3o2b2o19b 5o8bo3bo2bo$26bo3bo6b2obobo3b3o2bo7bo2b3o3bo32bobo2b3o$27b3obo8bob2o2b 3o3bobobo2bob2o5bobo12bobo16bob2o$22bo5bo4bobo4bo3bobo6bo3b2o2b3o5b2o 12b2o18bo2bo$5b2o11b3obo5bobo4bo5b3obo15b2o21bo3b5o12b2o$6bo11b4o8bo4b o8bobob2o14b2o3b2o17bob2o$4bo17b3o2bob3o2bo8b2obob2o6bo4b2ob2o4bo18b2o 7b2o$4b5ob2o3b2o5b2o4bo3bo10bo2bo7bobo4bo3b3o2bob2o16bo7bo$bo6bobo4bo 29b2o8b2o9b3obo2bo10b2obo6b2o3b3o$b6o4b3obo35b2o12bo2bob2o4bobo5b2o5bo 2b2o5bo$13bobob2o5b2o7b3o6bo9bo12b2obo7b2o7bo2bo4bo$3bo10bo2bo6bobo13b obo6b3o16bo8bo6bob2ob2ob6o$3b2o3bo10bobo6b5o8b2o6bo18b2o11b2o3bo10bo$ 6bob2ob2ob6ob7o2b4o29bo17bo10bo2bo$7bo2bo4bo11b2o3b3o2b2o22bobo27bobob 2o$6b2o5bo2b2o5b3obo10bo23b2o15b6o4b3obo$6b2obo6b2o4bobobobo7b2o31bo2b obo4bo6bobo5b3o$10bo11bo3bob3o5b3o10bo19bo12b5ob2o6bo$20bobo3bo4bo6b2o 7bobo19b2o11bo4bo3bo$11b3o6b2o3b2o3b2o6bo9b2o19bobobo10bobo2b3o$10bo3b o24b3o28bo12b2ob3o$9bo5bo25bo26bobo18bo6b2o3b2o$b2o6bo5bo53b2o17b2o6bo 4bo2b2o$b2o6bo5bo65bo15b3obo3bo$10bo3bo41bo23b2o8b3o6bobobo$11b3o6bobo 31bobo23bobo6bo10bo2b2o$21b2o32b2o18bo13b2o3bo10bo$14bo6bo53b3o14bob2o b2ob6o$7b2o6bob2o59bo14bo2bo4bo$7b2o2bo5b2o56b2obo13b2o5bo2b2o$9bo4bo 2bo50bobo4bobob2o7bo3b2obo6b2o$5b6ob2ob2obo44bo7bo5bo3bo5b2o7bo$5bo10b o3b2o5bobo31bobo7bo4b2o2b2o5bobo$7bo2bo10bo6b2o32b2o4bo2bo3b3o$6b2obob o16bo40b3o3b3o2b4o16b3o$9bob3o4b6o51b3o2bo2bo9bob2obo4bo4b2o$9bo4bobo 6bo51b2obo2bobob2o6bo3bobo3bo4b2o$8b2o3b2ob5o14b2o12b2o12b2o11b3ob2o2b o2bo5bo4bob2obo$20bo12b2ob2o9b2ob2o9b2ob2o4bo5b2o4bobo2bo6b3o$18bo14b 4o10b4o10b4o3bobo7bob2o2bob2ob2o$18b2o14b2o12b2o12b2o5b2o9b2o2bo3bobo$ 73bo7b2obo3bo11bo$23b3o38bo9bo4b3o2bobobo4b2o11b2o$25bo15bo15b2ob2o3bo 6b3o4b2o3bob2o5b2o2bo5bo2b2o$24bo16b3o10bobobobo5bo17bo10bo4bo4bo$44bo 7b3obobo2b3obob2o8bo4bo3b2o3b6ob2ob2ob6o$33b3o7b2o6bo4bob3o5b2obo5bobo 5b2obobo2bo17bo$7b2o18b2o4bo18b3obo4b4o4bo6b2o7bo2bo4bo2bo7bo2bo$4b2o 2b3o16bo6bo11b2o6bobob3o3b5o11bo4bobo4b2obobo2bo2bobob2o$3bob2o4bo4b3o 5b2obo16bob2o7bob2o2b2o18bo4bo8bob7obo$3bo6b2o6bo5b2obob2o13b2ob3o6bo 3bo2b4o12b3o13bo9bo$2ob4o10bo8b2obo2bo15b2o3b3ob4o2bo2bo29b6o3b2o$obo 4bo12bo8bob2o18bob2o29bo13bo2bo$2bo2b3o12bo3bo4bo10b3o5bob5o2b2o5bo17b obo$2b2o2bo13bo2b2o3b2o10bo6b2ob3o4b2o3b3o18b2o$2o3b3o14b3o16bo19bo25b o$bo4b2o5b3o6b2o4b2o31b2o25bo$bob2obo5bob2o6b2o3bobo28bo27b3o$2bobobo 5bo3bo5bo4bo22b2o2bo4b2o7b2o$4b3o6b2obo5bobob2o21b2obob2o4bo5bo2bo21bo $4b3o6b3o7b3o21b2o3bobo3b3o4bob2o20bobo$2b2ob2o14bobo2b4o17bo3b2obob2o 6bobo2b3o18b2o$2b2o2bo13bo2bobo3bo18bo3bo2b2o7bo3bo2bo22bo$6bo13b2obob 2o17b2o15bob2o4bo25bo$2b4o17bo2bo16bobo15b2o4bob2o22b3o$2bo2b2o16b2o 18bo18b3ob2o$4bo2bo10b2o22b2o10b3obo4bobobo30bo$4o2b2o10bobo26bo4b5obo b2obob2o29bobo$o5bob2o10bo21b2o2bobobo2bobo2bobo2b2o32b2o$3b2obob2o10b 2o20bo7bobobob2o2bobo3b3o$3bo2bo37bob2o9bob2obob2o2bo$5b2o36b2o10bobo 5bobo$56b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 14 HEIGHT 640 WIDTH 640 LOOP 84 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 4 ]]

Current smallest pseudo-period p14 gun (click above to open LifeViewer) RLE: here Plaintext: here

The essential mechanism used by many of these guns is demonstrated in the gun in glider injection gate:

x = 382, y = 374, rule = B3/S23 198b3o$197b4o$190b2o4b2o3b4o$190b2o3b2o2b2ob3o$197b4o4$197b4o$190b2o3b 2o2b2ob3o$190b2o4b2o3b4o85b3o$197b4o85b2o2bo2bo5b2o$198b3o85b2o2b2ob2o 4b2o$292bobo4$292bobo$205b2o79b2o2b2ob2o4b2o$204b2o80b2o2bo2bo5b2o$ 206bo63b2o5b2o11b3o$270b2o5b2o3$287b2o$288b2o$188bo82b2o3b2o9bo$186b2o 7b2o73b2o5b2o$187b2o6b2o5b2o65bo2bo3bo2bo$202b2o65bobo5bobo$166b2o101b 3o5b3o$167bo$166bo23bo9b2o$166b2o20bo11b2o68b2o5b2o$188b2o16b2o62b2o5b 2o$197bo8b2o15bo$192b3o3b2o22b2o13b2o5b2o$167bo26bo4bo22bobo12b2o5b2o 70b2obo$166bob2o22b2o2bo2bo105bo10bob2o$166bob2o28bo107b2o$167bo2b3o 24bo107b2o2b2o$172bo64b2o5b2o63b2o$170bobo10bo52b2obo3bob2o47b2o$170b 2o11bobo52b2o3b2o48b2o$183b2o54b2ob2o51bo$240bobo$188b2ob2o46b2ob2o65b 3o$186bo2bobobo115bo$186b2obo2bo16b2o99bo$140b2o5b2o40bo19bo26bobo5bob o$140b2o5b2o40b2o16bobo27b2o5b2o$140b2o5b2o38b2o2bobo13b2o$140bo7bo37b o2bo2b2o$138b2ob2o3b2ob2o36b2o36bo$138b2ob2o3b2ob2o5b2o67b2o82bo$138b 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THUMBLAUNCH ]] #C [[ AUTOSTART GPS 28 HEIGHT 800 WIDTH 800 LOOP 70 THUMBLAUNCH THUMBSIZE 2 THEME 6 ZOOM 2 ]]

An example usage of the glider injection gate in a period-14 glider gun that also uses the 34P14 shuttle (click above to open LifeViewer) RLE: here Plaintext: here

Image gallery

External links

• p14 gun at the Life Lexicon