Period-52 glider gun

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Period-52 glider gun
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Pattern type Gun
Number of cells 7056
Bounding box 309×298
Period 52
Barrels 1
Discovered by Dave Greene
Matthias Merzenich
Adam P. Goucher
Chris Cain
Year of discovery 2018

Period-52 glider gun is the first true period 52 gun to be discovered. The first construction was completed by Dave Greene in 2018.

In April 2016, Matthias Merzenich first had the idea that a Herschel track composed of Fx77 conduits could be overclocked at period 52. The difficulty arises in that the first natural glider emitted by one Herschel soon collides into the next Herschel. Merzenich suggested that the first natural glider could be eaten dependently by a glider shuttle, and eventually found a suitable one using JavaLifeSearch. This led to the construction of a Herschel track, but with no means of inserting a Herschel:

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10b2obobo5bo7b2o$13bobob4o$10b3o2bobobo$10bo4bo5bo$16b6o2$16b2obo$16bo b2o! #C [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 WIDTH 960 HEIGHT 480 ZOOM 4 GPS 40 LOOP 52 ]]
Glider shuttles delete first natural gliders to stabilise the track (click above to open LifeViewer)

Two years later, Jormungant found a stable 2G-to-H which can operate at p52. With a third glider to suppress the first natural glider, this is compatible with Merzenich's track. Unfortunately, this can radiate at most three gliders, two of which are on very close lanes. Adam P. Goucher was able to assemble these into a p52 emu; this is less interesting than a gun as p52 oscillators are already known.

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4b3o$117bobo18bo2bobo2bo$117b2o19b2o4b3o$126b2o11bo2b2o$127bo13bobob2o $124b3o11bo3bo2bo$124bo14b2ob2obo$144bo! #C [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 720 HEIGHT 720 ZOOM 1 GPS 24 ]]
Period-52 emu (click above to open LifeViewer)

For several months, there was no further progress, until Matthias Merzenich demonstrated that a period-4 bumper could almost be used to liberate an extra glider from the conduit. After careful use of JavaLifeSearch, he was able to find a suitably modified sparker and construct an over-unity component:

x = 211, y = 161, rule = B3/S23 209b2o$208bobo$210bo3$17bo$15bobo$16b2o6$196b2o$195bobo$197bo2$bo$2bo 27bo$3o25bobo$29b2o2$130b2obo$130bob2o2$128b6o$128bo5bo4bo43b2o$130bob obo2b3o42bobo$129b4obobo47bo$119b2o7bo5bobob2o$14bo103bo2bo5bo2b3obo2b obo$15bo27bo74bobobo3bob2obobob2o$13b3o25bobo75bobobo2bo2bobobo3b2o$ 42b2o77bo2bob2obo4b2o3bo$120bo2b2o4b2obobob2obo$120bo4b2obo5bobobo$ 117b2obob2o3b2ob3o3bo$115b3obob2ob2o4bo4bobo$114bo4bobo2bob3obob2obobo $115b4o4bo4bobobo2bobob2obo27b2o$113bobo2bobobo7bo6bobob2o26bobo$112bo bo5bob2o5bobo2bo2bo33bo$111bobo5b2obo6bobo3bobo2b3o$27bo83bo10b2o2b2ob 4ob2obobo2bo$28bo27bo53b2o7b2o6bobo7bo2bo$26b3o25bobo46b2ob2o10bobob2o 2bo3b4o4bob2o$55b2o47bobo2bo8bo2bo5b3o5b4o3bo$104bobo2bobo3b2obo2b3o6b o4bo4b2o$102b2o2b3o2bo2bo2bob2o6b2o2bobob2ob2o$103bobo4b2o3bobobo8bobo b4obobo$102bo2b2o3bob4obobo2b2o3bo2b3o3b3o$103b2o3b2ob2o4bob2o3bobob2o 7bo$104bob2o6b2obo3b2obobo3bo3b2o5b2o14b2o$104bo2bobo2bobobob2o5bobobo b3o5bo2bo13bobo$103b2obo2bo2bo3bo2b2ob3o2bob2obo4b3obo16bo$104bob2ob2o bobo2bo3b2o4bo5bo2bo4b2o$40bo62bo7bo2b2ob6o5b8o2b2o$41bo27bo32bob5o3bo 3bo5bob2o5bo3bobobob2o$39b3o25bobo32bo3bob4ob2obo2b2o4b5o3bo5bobo$68b 2o30b3o7bo2bob2obo4bo5bo2bo4bobo2bo$99bo6bob2o2bo5b2o2bob2ob2o3bo7b2o$ 99b2o4bo2b2o8bo7b2o2b3o3b4o$101bo6bobo8b6o4bob2o6bo$99b2o2bobobobo5b2o 3bobo2b5obo3b2o$100bob2obo5bo3b2o3bo2bo12b2o$100bobo2bob3obo8b2obob4ob ob3ob2o6b2o$99b2obobo6bo8bo2bobo11bo5bobo$99bo3bob2ob2o5b3o3bo3bobo4b 3obo8bo$100b2obo2bob2o3bo4bo2bo3bobobo4bo$53bo47bob2o3b2o2bo5bo2bo3b2o 4bo3bo$54bo27bo18bobobobobo2bo9b2obo2b2o5bo$52b3o25bobo17b2obobo2b2o3b o2bo6bobobo3b2obo28b2o$81b2o20bo4bo5b3o6bobo2bo34b2o$103bo4bo15b2o3bo$ 104b2o46bo$105bo24b3o19b3o8b2o$93bo8b3o24bo2bo10bo11bo8b2o$93b3o6bo28b obo9b3o8b2o5bo2bo$96bo33bob3o11bo13bo4bo$79b2o14b2o11b2o11bo5b2o3b3o 10b2o17b3o$79bo28b2o9bob2o4b2o21bo8bo6bo$71b2o3b2obo19b3o16b2obo5b2o2b o16b4o8bo5bo$66bo4bo4bobo18b2o21bo8b3o15b2o3b2o7bo3bo$67bo4b3obo20b2ob ob2o25b3o18bo3bo6b2o$65b3o6bob2o19b4o2bo46bo3bo$98bo4bo29bo16bo2b2o$ 99b4o29b3o13bo3bo$84bob2o11b2o31b2obo31bo$83bo3bo43b2o2b2o6bo24bo$82bo 3bo33b2o10b4o7bo14b2o6b3o$83bobo35bo10b3o12bo10bo$118b3o24bo13b3o$118b o6b2o18b3o5b2o6bo17bo$73b2o50bobo25bobo21bobo$72bobo37bo10bobob3o26bo 21b2o$74bo23b2o13b2o8b2o5bo23b2obob2o$97bobo12b2o15bo3bo16b4o3b2obo$ 78b2obo8b2ob2o3bo4b3o22bo3bo2bo12bo2bo3b2o$78b2ob3o7bobobob3o2bo3bo12b 2o7bob2obo2bo10bo2bo2b3ob3o$84bo5bo2bobo2b2o18bo2bo4b2ob3obo13b2o5b2o 3bo$78b2ob3o6bob2o5b2o2b3o12bobo3bo2bo3bobo6b2o5b3o5b4o21bo$79bobo5b2o bobob2obo5b2o14bo4b2obob5o6b2o5b3o4bo4b3o19bo$79bobo5b2ob2o8bobo2bo19b ob2o6b2o10b3o4b2o2bo2bo17b3o$80bo9bo9bo22bo4bo8bo9b2o10b2o$90bobo10b2o 18b2o2b3o3b4o3b2o5bo$91b2o7b2o7bo7b3o5bobo4b2ob2o3b2o3bobobo42bo$60b2o 47bobo11b2o2bo2b4obo9b2obobo39bobo$59bobo47b2o5bobo5bobob2o18bobo40b2o $61bo54bo2bo4bobobob2o5bo10b2o$113b2obob2o3b2o2bobob3o4bobobo$112bo4b 3o4bo4bo4b3o2b3obo$115bo6bo2b3o7bo7bo$111bo5bo3bob2o3bo2b2ob2o3b4o$ 111b2obob2o3bobo2bo4bo7bo53bo$111b2obo5b2obob2obo2bo3b4o2b2o51bo$110b 2o2b2o5bobo4bobobo5bob2o50b3o$111bo6bo2bobob2o4bob2obobo4bo$111bo6b3o 2bo4bob2o7b5o$96bo24b3obo3bobob6o66bo$47b2o47bobo11b2o8bo4bob3o4b2o3b 3o61bobo$46bobo47b2o21bob4o5b2ob2o3bo2bo62b2o$48bo61bobo7bo4b3obo3bo5b o$111bo9bobobobo3bob2o5b4o$110bo11b2ob2o2bo4b3o6bo$108bobo18b5o3bo2b3o $107bo10b2o2b2o2b3o7bo2bo$108bo2bo6bo2bo2bobob7ob3obo65bo$110b2o7b2obo 3bo2bobo2b3ob2o2b2o63bo$122b2ob2o6bo9bo61b3o$119b3o2bo4b4obobo5bo$118b o3b2obo8b3ob2o2b2o$83bo34bobo2bobob5obo2b2o2bobo$34b2o47bobo33b3o10b2o bo3bo2bo$33bobo47b2o40bo2b3o3b2obobobo$35bo82bob2o3bob2o2b2o4bo2bo$ 118b2obo3bob2o2bob2obo6bo$129bobo2bobo2b5o$124bo2bob2obobobobo$124bobo bo3bobo2bobobo$126bobo3bo2bobo2b2o$118b2o2b2o5b2obo3b2o$118bo2bo5b2o2b o$119bob2o2b2o3bo$120bo3b6o$70bo47bobob2o3b2o$21b2o47bobo45b2obobo2bo 2bo$20bobo47b2o49bob3o3bo2bo$22bo98bo7bobobo$119bob3obo3bo2bobo$118bob o6bo2bobobo$118bobob2o3bob2ob2o$119bobobobobo$121bob3obo2b4o$118bo2b2o 2bob3o4bo$118b3o3bo3bob2obo$122b7o2bob2o$120b2o7b2o3bo$57bo62bo2bob2ob o2b3o$8b2o47bobo62b2obob2o2bo$7bobo47b2o$9bo! #C [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART THUMBSIZE 2 WIDTH 640 HEIGHT 640 ZOOM 4 GPS 40 LOOP 52 ]]
Three glider streams are converted to four, but two are too close: (click above to open LifeViewer)

By itself, this is not sufficient for a gun, as separating the two output streams is nontrivial. Adam P. Goucher commented that it could be composed with a quarter-emu to produce a Herschel instead, and that it might be possible to use that output Herschel to reflect one of the streams from another copy of the mechanism. Chris Cain succeeded in demonstrating the possibility of this:

x = 414, y = 400, rule = B3/S23 158bo$157b2o$157bobo9$261b2o$260bobo$171bo90bo$170b2o$170bobo$270b2o$ 270bo$268bobo$267bobo$263b2o2bo$263b2o2bo2bo$270bo$269bo$248b2o20b3o$ 247bobo14bo7bo$184bo64bo13bobo$183b2o78bo2bo$183bobo73bo4b2o$259b2o$ 258bobo$268b2o$268bobo$270bo$270b2o3$235b2o$234bobo$197bo38bo$196b2o$ 196bobo47bo$211b2o33b2o$211bo33bobo$213bo$193b2o14b5o$194bo13bo$194bob o12b3o$195b2o15bo$209b4o$204b2o3bo3b2o7b2o$198bo5b2o4b3o2bo5bobo$198b 2o12bob2o7bo$197bobo12bo$211b2o20bo$233b2o$232bobo$203b2o$203bo$204b3o $206bo3$209b2o$185bo22bobo$185b2o23bo$184bobo$220bo$220b2o$219bobo7$ 196b2o$172bo22bobo$172b2o23bo$171bobo$207bo$207b2o$206bobo7$183b2o$ 159bo22bobo$159b2o23bo$158bobo$194bo$194b2o$193bobo3$94b2obo$94bob2o2$ 92b6o$92bo3bobo4bo66b2o$94bo2b2o2b3o42bo22bobo$93b3o2bobo45b2o23bo$83b 2o7bo3bobobob2o41bobo$82bo2bo5bo2bo3bo2bobo77bo$82bobobo3bob2obobob2o 80b2o$83bobobo2bo2bobobo3b2o77bobo$85bo2bob2obob2ob2o3bo$84b2ob2o4b2ob obob2obo$84bobo2b2obo5bobobo$81b2obob2o3b2ob5obo$79b3obo4b2o4bo2bobobo $78bo4bobo2bob3obo2bobobo$79b4ob2o6bobobob2obob2obo50b2o$77bobo2bobob 2o6bob2o2b2obob2o26bo22bobo$76bobo5bo8bobob2o2bo31b2o23bo$75bobo5b2obo 6bo2bo4bo2b3o25bobo$75bo9b2o3b2obo2b4obobo2bo61bo$74b2o7b2obo4bobo2bo 2b3o2bo63b2o$67b2ob2o2bo7bobob2o2bo3b3obo3bob2o61bobo242bo$68bobo2b3o 6bo8b3o6b3o3bo28bo276b2o$68bobo3b2o3b2obo3b2o6bo4bo4b2o28bobo3b2o269bo bo$66b2o2b2o6bo2bob2ob2o3b2obo4bo2b2o29bo2bo3bo$67bobo2b3o4bobobob2o5b o3b3o2bobo30b2ob2obo$66bo2b4obob4obobo2b2o3bo2b3o3b2o33bobobo$67b2o3bo 3bo4bob2o3bobob2o37bo3b2o$68bob2o6b2obo3b4obo3bo3b3o4b2o23bobob3o7b2o$ 68bo2bobo2bobobob2o2bo2bobobobobo5bo2bo13bo10bo11bobo$67b2obo2b4o3bo2b obob2o2bob2o2bo2b4obo14b2o23bo$68bob2o2bobobo2bo9bo13b2o12bobo7b3ob2ob o$67bo10b2ob5o6b6o2bob2o25b2obobo20bo$66bob4o4bo3bo3bob2obo8b2o3bob2o 22bo2bo22b2o$66bo3bob2obob2obo2b2o4b5o3bobobobobo24bobo21bobo242bo$64b 3o5bo2bobob2obo3b2o5bo3b3obobo2bo292b2o$63bo7b2o9bo5b2obo4bob3o3b2o23b 3o266bobo$63b2o4b2obo2bo6bo3bo3b2o3bo4b4o$65bo3b2obo10b2o2b2o5b2o7bo$ 63b2o2bobobob2o4b2o4bo2b6obo2b3o28bo$64bob2obobo7b2o6bo6bo5bo$64bobo2b 7o8b3o2b4ob5obo31b2o$63b2obobo5b2o9bobobo2bo2bo3b2o6bo24bo$63bo3bob4o 6b2o5b2obob3o2bo2b2o6b2o20b3o$64b2obo2bobo6b2o5b2obo2b2ob2obo7bobo21bo $65bob2o3bo13bo2bo5b4o43bo$65bobo4bo2bo10b2obo2b2o3b2o25b2o16b2o$64b2o bob2o3bo4b3o5bobobob4obo24bobo15bobo242bo$9b2o56bob4o6bo7bobo2b3o28bo 262b2o$8bob3obo14bo37bo2b2o8bo7b2o32b2o261bobo$8bo4b2o12b3o38b2o$7b2ob obo13bo42bo$10b2ob3o10b2o29bo8b3o26bo11bo34b2o$7b3o3b3o41b3o6bo27b3o 10b3o31b2o$7bo2b2o3b2o6b2o35bo19bo2bo13bo12bo18bobo11bo$8bobo3b3o5bob 2o17b2o14b2o11b2o5b2o3bo8b3ob2o10b2o11b2o9bobo$5b3o2b2o3b2o5bo2bo17bo 28b2o6bo3bo7bo3b2o24b2o11bo$5bo2b2o3b3o7b3o9b2o3b2obo36bo3bo8bo35bo3bo bo$6bo3b2ob3o7b2o10bo4bobo19b2o16bo2bo9bobo16b3o14bob2o$7b2obobo23b3ob o20bo2bo16bo30bob2o$8bo4b2o5bo17bob2o5bo16b2o47bob2o27bo228bo$8bob3obo 3b2o26bobo10bo3b2o48bobo27b2o228b2o$9b2o8b2o28bo8bo4bo33b2o9bo4b2o28bo 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Six glider streams are converted to seven: (click above to open LifeViewer)

Due to colour constraints and the fact that every known reflector is colour-preserving (apart from the long-forgotten p4 CC cenark), Dave Greene used two copies of the over-unity component to yield a symmetric two-barreled gun. Further optimisations followed, including simplifying it to a one-barreled variant. Finally, Adam P. Goucher employed the use of cenarks to result in an even more compact construction, which Chris Cain further optimised using period-4 bouncers to result in the form shown in the infobox.

See also