Line crosser

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Line crosser
x = 1102, y = 1393, rule = B3/S23 463b2o$463bo$464bo$465bo$466bo$467bo$468bo$469bo$470bo$471bo$472bo$ 473bo$474bo$475bo$476bo$477bo$478bo$479bo$480bo$481bo$482bo$483bo$484b o$485bo$486bo$487bo$488bo$489bo$490bo$491bo$492bo$493bo$494bo$495bo$ 496bo$497bo$498bo$499bo$500bo$448b2o51bo$448bobo51bo$450bo4b2o46bo$ 446b4ob2o2bo2bo45bo$446bo2bobobobob2o46bo$449bobobobo50bo$450b2obobo 51bo$454bo53bo$509bo$440b2o68bo$441bo7b2o38bo21bo$441bobo5b2o38b3o20bo $442b2o48bo7b2o11bo$479b2o10b2o7b2o12bo$480bo34bo$480bobo33bo$470bo10b 2o34bo$468b3o47bo$467bo51bo$452b2o13b2o51bo$452bo68bo$453b3o66bo$456bo 66bo$453b2o2bo66bo$452bo2b2o68bo$452b2o16b2o54bo$470b2o23b2o30bo$495bo 13bobobobo12bo$496b3o9bob2ob2obo12bo$498bo9bo3bo3bo13bo$507b2o3bob2o 15bo$478bo3b2o29bo18bo$477bobo3bo27bobo19bo$473b2obobo3bo28b2o21bo$ 473b2obo4bo53bo$477b5obo52bo$469b2obob2obo4b2o53bo$469bob2obo2bob2o57b o$462b2o12b2obob3o55bo$462b2o19bo56bo$541bo$486b2o54bo$486bobo54bo$ 488bo4b2o49bo$484b4ob2o2bo2bo48bo$484bo2bobobobob2o49bo$487bobobobo53b o$488b2obobo54bo$492bo56bo$550bo$478b2o71bo$479bo7b2o38bo24bo$479bobo 5b2o38b3o23bo$480b2o48bo7b2o14bo$517b2o10b2o7b2o15bo$518bo37bo$518bobo 36bo$508bo10b2o37bo$506b3o50bo$505bo54bo$490b2o13b2o54bo$490bo71bo$ 491b3o69bo$494bo69bo$491b2o2bo69bo$490bo2b2o71bo$490b2o16b2o57bo$508b 2o23b2o33bo$533bo13bobobobo15bo$534b3o9bob2ob2obo15bo$536bo9bo3bo3bo 16bo$545b2o3bob2o18bo$516bo3b2o29bo21bo$515bobo3bo27bobo22bo$511b2obob o3bo28b2o24bo$511b2obo4bo56bo$515b5obo55bo$507b2obob2obo4b2o56bo$507bo b2obo2bob2o60bo$500b2o12b2obob3o58bo$500b2o19bo3b2o54bo$525bobo54bo$ 527bo4b2o49bo$523b4ob2o2bo2bo48bo$523bo2bobobobob2o49bo$526bobobobo53b o$527b2obobo54bo$531bo56bo$581bo7bo$517b2o60bobo8bo$518bo7b2o38bo13b2o 9bo$518bobo5b2o38b3o23bo$385b2o132b2o48bo7b2o14bo$385bobo168b2o10b2o7b 2o15bo$387bo4b2o163bo37bo$383b4ob2o2bo2bo161bobo36bo$383bo2bobobobob2o 151bo10b2o37bo$386bobobobo152b3o50bo$387b2obobo151bo54bo$391bo137b2o 13b2o54bo$529bo71bo$377b2o151b3o69bo$378bo7b2o65b2o78bo69bo$378bobo5b 2o17bo47bobo74b2o2bo69bo$379b2o22b3o49bo4b2o67bo2b2o71bo$402bo48b4ob2o 2bo2bo65b2o16b2o57bo$402b2o47bo2bobobobob2o83b2o23b2o33bo$454bobobobo 111bo13bobobobo15bo$455b2obobo112b3o9bob2ob2obo15bo$410b2o47bo115bo9bo 3bo3bo16bo$411bo172b2o3bob2o18bo$389b2o20bob2o30b2o74b2o32bo3b2o29bo 21bo$389bo13b2o4b3o2bo31bo7b2o65bobo30bobo3bo27bobo22bo$390b3o10b2o3bo 3b2o32bobo5b2o17bo49bo4b2o20b2obobo3bo28b2o24bo$392bo15b4o35b2o22b3o 45b4ob2o2bo2bo18b2obo4bo56bo$392bob2o15bo58bo48bo2bobobobob2o22b5obo 55bo$390b2obobo12b3o59b2o50bobobobo17b2obob2obo4b2o56bo$390bo2bo13bo 115b2obobo17bob2obo2bob2o60bo$392b2o14b5o114bo11b2o12b2obob3o58bo$412b o65b2o59b2o19bo2b2o55bo$410bo68bo33b2o48bobo55bo$410b2o45b2o20bob2o31b o7b2o41bo4b2o50bo$457bo13b2o4b3o2bo31bobo5b2o17bo19b4ob2o2bo2bo49bo$ 458b3o10b2o3bo3b2o33b2o22b3o19bo2bobobobob2o50bo$460bo15b4o58bo25bobob obo54bo$460bob2o15bo58b2o25b2obobo48bo6bo$458b2obobo12b3o90bo50bo6bo$ 458bo2bo13bo142b3o7bo$460b2o14b5o65b2o7b2o72bo$452bo27bo66bo8bo7b2o38b o25bo$452b3o23bo46b2o20bob2o5bobo5b2o38b3o24bo$455bo22b2o45bo13b2o4b3o 2bo6b2o48bo7b2o15bo$454b2o70b3o10b2o3bo3b2o44b2o10b2o7b2o16bo$528bo15b 4o47bo38bo$528bob2o15bo47bobo37bo$446b2o78b2obobo12b3o38bo10b2o38bo$ 446bo79bo2bo13bo39b3o51bo$443b2obo81b2o14b5o33bo55bo$443bo2b3o4b2o93bo 18b2o13b2o55bo$444b2o3bo3b2o91bo20bo72bo$446b4o96b2o20b3o70bo$446bo15b 2o107bo70bo$447b3o12bobo2b2o99b2o2bo70bo$450bo13bo2bo99bo2b2o72bo$445b 5o14b3o2bo97b2o16b2o58bo$445bo21b3o115b2o23b2o34bo$448b4o14bo143bo13bo bobobo16bo$442b2o4bo3bo13b2o143b3o9bob2ob2obo16bo$441bobo7b2o160bo9bo 3bo3bo17bo$435b2o4bo180b2o3bob2o19bo$433bo2bo2b2ob4o147bo3b2o29bo22bo$ 433b2obobobobo2bo123b2o21bobo3bo27bobo23bo$436bobobobo125bobo17b2obobo 3bo28b2o25bo$436bobob2o120b2o4bo19b2obo4bo57bo$349bo87bo18b2o102bo2bo 2b2ob4o19b5obo56bo$349b3o103bobo5b2o38bo56b2obobobobo2bo11b2obob2obo4b 2o57bo$352bo97b2o3bo7b2o38b3o57bobobobo14bob2obo2bob2o61bo$351b2o88b2o 7bo3b2o50bo56bobob2o8b2o12b2obob3o59bo$441b2o5bobo54b2o57bo12b2o19bo 60bo$448b2o18bo191bo$343b2o119b2obobo107b2o22b2o58bo$343bo119bobobobo 27b2o69b2o7bo23bobo58bo$340b2obo116bo2bobobobob2o24bo70b2o5bobo25bo4b 2o53bo$340bo2b3o4b2o108b4ob2o2bo2bo21b2obo77b2o22b4ob2o2bo2bo52bo$341b 2o3bo3b2o112bo4b2o23bo2b3o4b2o93bo2bobobobob2o53bo$343b4o115bobo30b2o 3bo3b2o96bobobobo57bo$343bo15b2o77b2o18b2o2b2o33b4o102b2obobo58bo$344b 3o12bobo2b2o73bo18bo9b2o27bo15b2o92bo60bo$312b2o33bo13bo2bo71b3o21bo8b o28b3o12bobo2b2o149bo$313bo28b5o14b3o2bo69bo2b3o14b5o6bo33bo13bo2bo74b 2o75bo$311bo30bo21b3o71bo2bo13bo11b5o14b2o8b5o14b3o2bo44b2o27bo7b2o38b o28bo$311b5o14b2o12bo18bo73b2o2bobo12b3o13bo13bo9bo21b3o45bo19b2o6bobo 5b2o38b3o27bo$316bo13bo12b2o18b2o21b2o54b2o15bo9b3o12bobo11bo18bo45b3o 20bo8b2o48bo7b2o18bo$313b3o12bobo56bo68b4o8bo15b2o11b2o18b2o44bo24bo 43b2o10b2o7b2o19bo$312bo15b2o55bo65b2o3bo3b2o6b4o96b2o14b5o44bo41bo$ 312b4o69b5o14b2o45b2o4b3o2bo3b2o3bo3b2o92bo13bo49bobo40bo$310b2o3bo3b 2o69bo13bo2bo51bob2o2bo2b3o4b2o92bobo12b3o36bo10b2o41bo$309bo2b3o4b2o 66b3o12bobob2o51bo5b2obo101b2o15bo33b3o54bo$309b2obo73bo15b2obo52b2o8b o115b4o32bo58bo$312bo40b2o31b4o15bo62b2o109b2o3bo3b2o15b2o13b2o58bo$ 312b2o38bobo5b2o22b2o3bo3b2o10b3o99b2o70b2o4b3o2bo14bo75bo$352bo7b2o 21bo2b3o4b2o13bo41b2o54bobo5b2o71bob2o15b3o73bo$351b2o30b2obo20b2o41bo 25b2o28bo7b2o71bo21bo69bo3bo$320b2o64bo64b3o23bo27b2o79b2o18b2o2bo69bo 3bo$267b2o52bo43bo20b2o65bo20b3o128bo2b2o63bo4b3o4bo$268bo49b3o40b2obo bo79b2o26bo44bo85b2o16b2o49b2o10bo$266bo51bo41bobobobo79b2o67b2obobo 57b2o43b2o23b2o23b2o12bo$266b5o14b2o70bo2bobobobob2o24b2o118bobobobo 57bo69bo13bobobobo19bo$271bo13bo71b4ob2o2bo2bo25bo115bo2bobobobob2o55b 3o67b3o9bob2ob2obo19bo$268b3o12bobo75bo4b2o24b3o22b2o92b4ob2o2bo2bo57b o69bo9bo3bo3bo20bo$267bo15b2o74bobo30bo17b2o5bobo95bo4b2o138b2o3bob2o 22bo$267b4o88b2o49b2o7bo93bobo115bo3b2o29bo25bo$265b2o3bo3b2o143b2o92b 2o115bobo3bo27bobo26bo$264bo2b3o4b2o350b2obobo3bo28b2o28bo$264b2obo 138bo219b2obo4bo60bo$267bo137bobob2o102b2o115b5obo59bo$267b2o136bobobo bo99bo2bo107b2obob2obo4b2o60bo$402b2obobobobo2bo78b2o14b5o108bob2obo2b ob2o40b2o22bo$273b2o127bo2bo2b2ob4o15b2o62bo13bo106b2o12b2obob3o36bobo 16bo6bo$273bo130b2o4bo19b2o62bobo12b3o103b2o19bo36bo19bo6bo$270b2obo3b 2o131bobo82b2o15bo159b2o17b3o7bo$268bo2bob2o2b2o132b2o96b4o189bo$268b 2obo174b2o56b2o3bo3b2o182b2o4bo$271bo5b2o167b2o56b2o4b3o2bo181bobo4bo$ 271b2o5bo233bob2o181bo7bo$276bo152b2o81bo193bo$276b2o150bo2bo79b2o194b o$401b2o25bo2bo276bo$402bo26b2o278bo$400bo102b2o171b2o32bo$400b5o14b2o 82bo173b2o32bo$405bo13bo84b3o169bo35bo$402b3o12bobo86bo76b2o128bo$401b o15b2o12b2o149bobo98b2o29bo$401b4o25bobo143b2o4bo99bobo30bo$399b2o3bo 3b2o20bo16b2o125bo2bo2b2ob4o97bo31bo$398bo2b3o4b2o19b2o16bobo124b2obob obobo2bo125b2o3bo$398b2obo47bo127bobobobo127b2o5bo$401bo47b2o126bobob 2o103b2o25bo5bo$401b2o175bo106bobo32bo$687bo33bo$591b2o105b2o10b2o10bo $409b2o171b2o7bo107bo10bobo10bo$410bo42b2o127b2o5bobo104b3o11bo13bo$ 407b3o43b2o134b2o105bo28bo$407bo318bo$727bo$416b2o19b2o289bo$417bo19b 2o22b2o266bo$417bobo42bo267bo$418b2o34b2o4bo270bo$453bo2bo3b5o14b2o98b 2o151bo$433b2o18bo2bo8bo13bo2bo97bo152bo$433b2o19b2o6b3o12bobob2o94b3o 154bo$461bo15b2obo96bo84b3o70bo$461b4o15bo183bo71bo$416b2o41b2o3bo3b2o 10b3o180bo73bo$416b2o5b2o33bo2b3o4b2o13bo254bo$423b2o33b2obo20b2o255bo $461bo278bo$429bo6b2o23b2o278bo$428bobo4bobo304bo$421b2o6bo5bo307bo$ 422bo11b2o33b2o273bo$419b3o48bo274bo$419bo47b3o22b2o119b2o131bo$467bo 17b2o5bobo118bo133bo$485b2o7bo120bo132bo$430b2o20b2o40b2o99b2o14b5o 133bo$430b2o20bobo141bo13bo139bo$454bo26bo114bobo12b3o137bo$454b2o24bo bob2o111b2o15bo25b2o110bo$446b2o32bobobobo124b4o24bobo111bo$446b2o29b 2obobobobo2bo116b2o3bo3b2o24bo98b2o12bo$477bo2bo2b2ob4o20b2o94b2o4b3o 2bo121b2o14bo$429b2o48b2o4bo25bo102bob2o123bo14bo$428bo2bo53bobo21bo 104bo142bo$428bo2bo54b2o21b5o14b2o83b2o133b2o8bo$429b2o83bo13bo2bo215b 2o10bo$511b3o12bobob2o217bo10bo$486bo23bo15b2obo75b2o154bo$484b3o23b4o 15bo75bo156bo$483bo24b2o3bo3b2o10b3o74b3o154bo$431b2o50b2o22bo2b3o4b2o 13bo75bo5b2o148bo$430bobo64b2o8b2obo20b2o82b2o148bo$430bo16b2o48bobo 10bo103bo151bo$429b2o16bobo27bo21bo4b2o4b2o255bo$449bo26bobo16b4ob2o2b o2bo114b2o144bo$449b2o18b2ob2o3bo17bo2bobobobob2o113bobo145bo$467bo2bo b2o24bobobobo13b2o103bo146bo$467b2o30b2obobo14bo251bo$480b2o21bo12b3o 22b2o229bo$472bo2bo4b2o34bo17b2o5bobo229bo$453b2o17b4o13b2o43b2o7bo83b 3o144bo$453b2o14bo20bo7b2o43b2o84bo145bo$469b5o11bo4bobo5b2o128bo147bo $473bo7b2obobo4b2o37bo238b2o6bo$416b2o19b2o32bo8bobobobo42bobob2o234bo bo6bo$417bo19b2o32b2o4bo2bobobobob2o39bobobobo233bo9bo$417bobo57b4ob2o 2bo2bo36b2obobobobo2bo241bo$418b2o34b2o25bo4b2o38bo2bo2b2ob4o93bo148bo $453bo2bo22bobo46b2o4bo97b2o148bo$433b2o18bo2bo22b2o53bobo60b3o31bobo 149bo$433b2o19b2o45b2o32b2o62bo4b3o177bo$501bo96bo7bo178bo$424b2o76b3o 100bo180bo$416b2o6b2o78bo282bo$416b2o370bo$452b2o335bo$452bobo76bo258b o$429bo6b2o16bo74b3o80b2o177bo$428bobo4bobo16b2o72bo82bobo178bo$421b2o 6bo5bo92b2o83bo179bo$422bo11b2o358bo$419b3o373bo$419bo116b2o258bo$537b o259bo$537bob2o72b2o183bo$430b2o97b2o4b3o2bo71bobo184bo$430b2o97b2o3bo 3b2o74bo185bo$534b4o132b2o129bo$520b2o15bo132bobo129bo$446b2o71bobo12b 3o40b2o93bo4b2o124bo$446b2o71bo13bo42bobo5b2o82b4ob2o2bo2bo123bo$518b 2o14b5o39bo4bobo82bo2bobobobob2o124bo$429b2o107bo46bo85bobobobo128bo$ 428bo2bo104bo135b2obobo129bo$428bo2bo104b2o138bo131bo$429b2o378bo$662b 2o146bo$475b2o186bo7b2o138bo$475bo115b3o69bobo5b2o139bo$432b2o39bobo 117bo70b2o147bo$431bobo39b2o117bo221bo$431bo383bo$430b2o15b2o9b2o178b 2o166b3o7bo$447bobo8b2o177bobo166bo10bo$449bo181b2o4bo169bo10bo$449b2o 141b3o34bo2bo2b2ob4o177bo$475b2o117bo34b2obobobobo2bo12b2o18b2o144bo$ 468b2o5b2o116bo38bobobobo16bo18bo146bo$468b2o162bobob2o15bo21b3o144bo$ 633bo19b5o14b3o2bo145bo$463bo194bo13bo2bo148bo$419bo42bobo181b2o7b3o 12bobo2b2o148bo$419b3o34b2o5bo6b2o165b2o7bo7bo15b2o154bo$422bo33bo13bo 166b2o5bobo7b4o169bo$421b2o14b2o15bobo14b3o170b2o6b2o3bo3b2o165bo$437b 2o15b2o17bo133b2o42bo2b3o4b2o166bo$607bo43b2obo175bo$605bobo46bo176bo$ 605b2o10bo36b2o176bo$617b3o213bo$620bo213bo$431b2o186b2o13b2o26b2o106b 2o11bo51bo$424b2o5bobo150b2o49bo27bo106b2o10bobo51bo$424b2o7bo150b2o 46b3o25b3o119bobo2b2o3bo44bo$433b2o196bo28bo120b2ob2o2bo2bobo12bo31bo$ 456b2o172bo2b2o150bobo3bobo10b3o32bo$420bo30b2o2bo2bo172b2o2bo145b2obo 2b4obo10bo36bo$419bobob2o11b2o13bobo2b2o158b2o16b2o145b2obobo3bo12b2o 36bo$419bobobobo9bobo16b2o160b2o167bobo3bo50bo$416b2obobobobo2bo6bo19b o330bobo3bo50bo$416bo2bo2b2ob4o5b2o16bo2bob2o328bo3b2o51bo$418b2o4bo 26bobob2obo386bo$424bobo25bobo15bo375bo$425b2o26bo2b2o12b3o131b2o3bo 237bo$454b2ob3o13bo130bo3bobo167b2o68bo$460bo11b2o131bo3bobob2o163b2o 69bo$454b2ob3o146bo4bob2o148b2o85bo$454b2obo136b2o8bob5o151bo2bo85bo$ 464b2o128b2o8b2o4bob2obob2o142bob2o87bo$446b2o16bo142b2obo2bob2obo142b o91bo$437b2o7b2o13b2obo133b2o4b3obob2o12b2o134b2o92bo$438bo22bo2b3o4b 2o124bobo4bo19b2o149b2o78bo$438bobo21b2o3bo3b2o118b2o4bo177bo80bo$439b 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28b2obo2bo16b2o12bo$500b3o29bob2obobo29b5o11bo$500bo35bobo34bo7b2obobo $533b2o2bo33bo8bobobobo$531b3ob2o34b2o4bo2bobobobob2o$530bo46b4ob2o2bo 2bo$531b3ob2o44bo4b2o$533bob2o42bobo$579b2o$543b2o$543b2o7b2o$552bo$ 550bobo$550b2o4$530b2o$530b2o4$565b2o$546bo18bo$545bobo19bo$545bo2bo 14b5o$546bobo13bo$544bobobobo12b3o$544b2o3b2o15bo$563b4o$558b2o3bo3b2o $558b2o4b3o2bo$566bob2o$566bo$565b2o2$540bo$538b3o16b2o$537bo19bo$537b 2o19b3o$560bo6$527b2o$526bobo5b2o$526bo7b2o$525b2o2$539bo$535b2obobo$ 534bobobobo$531bo2bobobobob2o$531b4ob2o2bo2bo$535bo4b2o$533bobo$533b2o 25$125b3o$127bo$126bo123$2o$b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 LOOP 10000 AUTOSTART Y -90 Z -2.2 WIDTH 600 HEIGHT 600 POPUPWIDTH 600 POPUPHEIGHT 600 PAUSE 2 PAUSE 2 X 95 Y -405 Z 4 PAUSE 2 T 450 GPS 60 PAUSE 2 PAUSE 4 X -325 Y 475 Z 2 PAUSE 2 T 4000 X 0 Y -90 Z -2.2 STEP 50 ]]
Pattern type Miscellaneous
Number of cells 13200
Bounding box 1021×1202
Discovered by Dave Greene
Year of discovery 2018

A line crosser is a pattern which is able to send a signal across an infinite diagonal line of live cells without destroying the line. David Bell built one such pattern in August 2006. It uses many synchronized one-shot period 44160 glider guns on both sides of the line.

An input glider can arrive at any multiple of 44160 generations to first cut the line, then send a glider through the gap, and finally mend the line while leaving an output glider on the other side.

In 2018, using variants of the reactions shown in line-cutting reaction and line-mending reaction, Dave Greene built a smaller stable line crosser that can accept gliders with any timing, as long as they are separated by 501 or more ticks.[1] The pattern shown in the infobox also contains two additional eaters near the diagonal line, which allow the pattern to serve as a line detection mechanism of a sort: a glider will only be sent northeast if a line is actually present in the key location.

References

  1. Dave Greene (September 9, 2018). Re: Stable line crosser challenge (COMPLETED) (discussion thread) at the ConwayLife.com forums

External links