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 refers to any glider gun which emits a period 14 glider stream, which is the smallest possible period for a glider gun since successive gliders cannot be closer than 14 generations apart. 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 by means of glider injection gates. 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:

x = 440, y = 307, rule = B3/S23 77bobbobbo79bobbobbo53bo$74bobb7o76bobb7o51bobo$74b3o83b3o51bo5bobo$ 78boboo82boobo36boo7b3o3bobbo11boo$76b3o3bo79b3obobo35boo6bo3bo3bobo 11boo$75bo4bobo78bo3bobbo45bo6bobo$74bob5oboo76boboobooboo41bo5bo5bo$ 74bobo5bo77bobo3bobo42bo5bo$73boobb3obbo76boobb4obo43bo3bo$75boboboob oo77bobobobboo43b3o$64bo10bobobobo68bo10bobo3bo37bo28boo$64b3o7boobobo bo68b3o7boobo3bo36b3o27bo$67bo8bo4boboo68bo8bobooboboo33b3o18boo5bobo$ 66boo8boboboobbo67boo8bobb3obbo52bobbo5boo$75boo5boo77boobo3boo14boo 16boo3boo13bo$69bo4bo3b4o73bo5bobb4o17bo16boo3boo13bo$68bobo3boobo3bo 72bobo6bo3bo17bobo8bo25bo$64boobboo4bo3b3o69boobboo5bobb3o19boo7boo26b obbo$64boo9boobo71boo9boobo29boo4boo3bo19boo$76bo85bo30b3o4boobbobo25b oo$76bobo83bobo29boo4boobbobo25boo$77boo84boo30boo8bo10boo$72bo78boo 43bo20bo$64boo4bobo79boo105boo$65boo4boo78bo62boo14boo19bo8bo$64bo149b oobboo31b3o6bobo6bobo$162bo55boo34bo6boo6bo3bo$163bo89boo18bo7bo$161b 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Jason Summers' p14 gun (click above to open LifeViewer) RLE: here Plaintext: here

Further improvements followed by redesigning the gun with a different base period. Karel Suhajda built a smaller gun in February 2004, shown in the infobox, which operates at a base period of 70 and uses Herschel sources to manufacture the lightweight spaceships for the injection gates. 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.:

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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 2o2bo3bo2b2o4bobo66bobo83bo$139b2obo3bob2o7bo46bo102bob3o$140b2o5b2o 54bobo91bo3b2o3b2o2b2o$141bo5bo135bo12bobo2bo4b2o2b2o$166bo32b2o35b2o 45b3o10bobo4bo$57b3o105bo32bobo35bo17b2o30bo10bob5o6b2o$56b4o105b3o30b o4b2o28b2obo17bo30b2o12bo6bo4bo27b2o5b2o$49b2o4b2o3b4o76b2o5b2o49b3obo 2bo24bo4bo19bo11bo30bo3b2o2bo4bo27b2o5b2o$49b2o3b2o2b2ob3o76b2o5b2o40b 2o10bob2o25bo23b2o9b3o29bo3bobo4bobo16b2o$56b4o128bobo13bo17b4o7bo30bo 32b2o3bo24bobo$188bo13b2o17b3o3bo36b2o10b2o49bo10b3o5b3o$110b2o75b2o 31bobo5bo47bo44b2o15bobo5bobo$109bobo108b2obo4b2o44bobo44b2o15bo2bo3bo 2bo$56b4o43b2o4bo113b3o2b2o23b3o18b2o63b2o5b2o$49b2o3b2o2b2ob3o37bo2bo 2b2ob4o39b3o67b2o26bob3o84b2o3b2o$49b2o4b2o3b4o37b2obobobobo2bo39b4o 68bo24bo48b2o$56b4o11b2o5b2o24bobobobo38b4o3b2o4b2o43b2o40b2o47b3o15b 2o$57b3o11b2o5b2o24bobob2o39b3ob2o2b2o3b2o44b2o26bobo11b2o42b2o4bo15b 2o$105bo47b4o37b2o11bo29b2o12bo42bo2b2o21b2o$195bo41bo32b2o3bo19b2o23b 2o17b2o5b2o$118b2o75bobo29b2o41b2ob2ob2o18bo42b2o5b2o$72bo5bo39bo77b2o 28b2o42bo7bo$71b2o5b2o36bobo34b4o71bo40b2o6bo7b2o27b2o$70b2obo3bob2o 28bo6b2o31b3ob2o2b2o3b2o35b2o59b2o8b2o2b2o9b2o11b2o14b2o$54bo14b2o2bo 3bo2b2o26bobo38b4o3b2o4b2o36b2o59bo8b2o2b2o22bo$52b2o15b2ob2o3b2ob2o5b 2o18b2ob2o41b4o10b2o32b3o54b3o38b3o$53b2o14b2ob2o3b2ob2o6bo18bo2bo42b 3o11bo17b2o14b3o54bo42bo22b2o$71bo7bo8bobo17b2o55bobo17bo6b2o6bo122bob o$71b2o5b2o9b2o74b2o19bo6bo131bo$71b2o5b2o105b2o6bobo3bo3bobo$62bo8b2o 5b2o26b2o86b2o7b2o$62b2o29b2o12bo54bo37b2ob2o$38b2o21bobo29bobo8b3o44b 2o8b2o39bo$30bob2o3b3o53b3o8bo46b2o7bo2b2o42b2o$30b2obo2b2ob2ob2o116b 2o4bo40bobo44bo34bo$36bo2bob3o56bo63b3o19b3o20bo45b2o33bo$36b3ob2obo 42b2o13b2o62b2o18b5o19b2o43b2o7b2o5b2o16b3o$86b2o12b2o83bobo57bo16bobo 5bobo$87bo3bob3o148b2o$86bo3b6o148bobo$38b3o44bo6bo30b3o78b2o59b2ob2o$ 39bo2b2o42b5o32bo15b2o5b2o56bo61bobo$40b3o81bo14b2o5b2o41b2o14b3o57b2o b2o$41bo46b5o97bo16bo14bobo39b2o3b2o$87bo6bo92b3o6bo28bo36b2obo3bob2o 33b3o$88bo3b6o40b3o5b3o13b2o23bo7bobo27bo37b2o5b2o36bo$89bo3bob3o40bob 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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