4-engine Cordership

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4-engine Cordership
46bo29b$46bo29b$48bo5bo21b$47bo6bobo19b$46bo3bo2bo22b$47bo2bobob2o20b$ 52bob2o20b$66b2o8b$66b2o8b7$74b2o$74b2o$55b2o3bo15b$53b3o4b2o14b$48b3o bo8b2o13b$52bobo2b5o14b$53bo3b3o16b3$40bo35b$40bo7bo27b$40bo5b3o27b$ 39b2o3bobo29b$45bo2bo27b$44bo2b2o27b10$27bo48b$24b4o48b4$27bobo46b$28b o47b$2o2bo21b2o48b$3bobo20bo2bo46b$2bo16bo5b2ob2o46b$19bo56b$4b2o13bo 56b2$5b2o12b2o55b$4bo13bo2bo54b$2b2ob2o11bobo55b$5b2o10b2o57b$3bo13bo 58b$20b2o54b$20b2o54b$20b2o54b$17b2obo55b$18b3o55b$19bo56b4$7b2o67b$7b 2o67b7$15b2o59b$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 8 X 3 Y 3 TRACKLOOP 96 -1/12 -1/12 THUMBSIZE 2 GPS 12 HEIGHT 750 WIDTH 750 ]]
View static image
Pattern type Spaceship
Family Cordership
Number of cells 134
Bounding box 76 × 76
Direction Diagonal
Period 96 (mod: 96)
Speed c/12 | 8c/96
Heat 178.0
Kinetic symmetry /
Discovered by David Bell
Year of discovery 2005

A 4-engine Cordership is a c/12 diagonal spaceship, specifically a Cordership consisting of four switch engines. Shown in the infobox is the first example that was discovered by David Bell on July 9, 2005;[1] a variety of other designs were found years later by different people.

Bell's original version

David Bell's original version has a minimum population of 134 cells, which made it once the smallest known Cordership until it was superseded by the 2-engine Cordership. David Bell used this spaceship to create a small sawtooth, sawtooth 260.[2] It can also be used to stabilize switchwave by pulling apart the two halves and inserting an arbitrary number of switch engines.

A slight modification of this Cordership that is asymmetric, with a minimum population of 136 cells, is also quite well-known and displayed below.

x = 77, y = 74, rule = B3/S23 48bo$48bo7bo$48bo5b3o$47b2o3bobo$53bo2bo$52bo2b2o$67b2o$67b2o7$75b2o$ 75b2o$56b2o3b2o$50bo3b4o3bobo$50bob2o2bo2bo3bo$50bob2o4bo3b2o$54bo3bo$ 59bo3$40b3o6bo$41b2o3b2obo$40b2o5bobo$45b3obo$48b2o9$27bo$24b4o4$27bob o$28bo$2o2bo21b2o$3bobo20bo2bo$2bo16bo5b2ob2o$19bo$4b2o13bo2$5b2o12b2o $4bo13bo2bo$2b2ob2o11bobo$5b2o10b2o$3bo13bo$20b2o$20b2o$20b2o$17b2obo$ 18b3o$19bo4$7b2o$7b2o7$15b2o$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 AUTOSTART X 4 Y 4 TRACKLOOP 96 -1/12 -1/12 THUMBSIZE 2 GPS 12 HEIGHT 750 WIDTH 750 ]]
David Bell's asymmetric 77 × 74 136-cell variant
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Simkin's extensible version

In November 2014, Michael Simkin reported that two copies of a 2-engine puffer can be lined up to create an alternative 4-engine Cordership.[3] As the front half drops a block every 96 generations and the back half simply removes it while suppressing its own block, this design is extensible. A cis and a trans isomer with respect to the line blocks are shown below to the left.

The front and back halves of the Cordership can be produced by identical glider constructions, which was used in Goldtiger997's stable glider to 4-engine cordership converter in September 2017.[4] Adam P. Goucher replaced two Snarks with semi-Snarks as toggle circuit, so that for every input of the converter only one of two alternate halves is activated, and then connected the device to a sqrtgun, whose output stream has increasing gaps between successive gliders; the result is a "gun" that fires infinite distinct Corderships.[5]

#N extensible 4-engine Cordership #O Michael Simkin, 5 November 2014 #C http://www.conwaylife.com/forums/viewtopic.php?p=14135#p14135 x = 302, y = 137, rule = B3/S23 28bo$27bobo$26b2ob2o$3b3o20b2ob2o123bo$2bo3bo18b3o125bobo$bo4bo18b3o3b o12b2o106b2ob2o$o3bo20b3o4bo11b2o83b3o20b2ob2o$o2bob3o18b2o5bo94bo3bo 18b3o$o7bo17b3o98bo4bo18b3o3bo12b2o$2bo3bobo18b2o97bo3bo20b3o4bo11b2o$ 2bo3bob2o18b2o96bo2bob3o18b2o5bo$4b3ob2o33b2o81bo7bo17b3o$20b2o106bo3b obo18b2o$20b2o6bo14b3o6b2o74bo3bob2o18b2o$27b3o13bobo6b2o76b3ob2o33b2o $26bo3bo115b2o$4b2o24b2o13bo100b2o6bo14b3o6b2o$4b2o23b2o13b2o107b3o13b obo6b2o$5bo38b2o106bo3bo$130b2o24b2o13bo$5bo22b2o13b2o85b2o23b2o13b2o$ 28b2o13b3o85bo38b2o$41b3o$3bo5b3o21b3o5bo89bo22b2o13b2o$3bo7bo142b2o 13b3o$3bo5bobo10b2o16b3o124b3o$9b2o10bo2bo15bo88bo5b3o21b3o5bo$20bo3bo 15b3o86bo7bo$22b2o35b2o68bo5bobo10b2o16b3o$59b2o74b2o10bo2bo15bo$16bo 129bo3bo15b3o$14b2o132b2o35b2o$8b2o2b2o5bo165b2o$8b2o4b2o126bo$18bo 121b2o$15b4o115b2o2b2o5bo$14bobo50b2o65b2o4b2o$13bo2b2obo47b2o75bo$14b o4bo121b4o$15bo124bobo50b2o$16bo2bo119bo2b2obo47b2o$16b2o122bo4bo$141b o$142bo2bo$75b2o65b2o$75b2o2$201b2o$201b2o4$83b2o$83b2o2$209b2o$209b2o 4$91b2o$91b2o2$217b2o$217b2o2$268bo$267bobo$99b2o165bo3bo$99b2o166bobo $268bo14b3o$225b2o55bo3bo$225b2o41b4o10b3o2bo$267bo4bo9bo3bo$269bo13b 3o$266bo3bo2bo9b2o7b2o$107b2o157bob3obo19b2o$107b2o158b3obo2$233b2o$ 233b2o50bo$282b5o$281bo$297bo$115b2o165bo3bo9bob2o$115b2o166b3o12b3o$ 289b2o4b3o3bo$241b2o29b2o14bo2bo4b5o$241b2o29b2o13bo5bo5bo$286bo2b2o$ 285b2ob2ob3o$114b3o142b3o15b2o6bo2bo$113bo3bo5b2o133bo17b4o5bob2o$112b o4bo5b2o132bo4b2o11bo4bo5b2o$111bo3bo140bo3bo9bobobo2bo2b2o$111bo2bob 3o130b2o5bo2bo4bo4bo2bobo4b2o$111bo7bo129b2o5bo3bo3bo3bo4bo3b3o$113bo 3bobo137b2obob3o4bo4b2obo$113bo3bob2o139bo11bo$115b3ob2o140b4o6b2o$ 263b2o$88bo6b2o185b3o$87bobo3bo3bo$86bo3bobo3b2o18bo140b2o$87bobo2bobo b2o17bobo139b2o$88bo3bo2b2o17bo$92bo4bo21bo$93bo2bo10b2o5b2o2b2o$95bo 11b2o7bo$114b2obo$113bo3bo$112bo$111b2obob2o$111b2o3bo$112bo2b2o$113b 3o$102bo11bo$91b3o7bo2bo16bo$90bobob2o5bo3bo15bo$90bobob2o5bo3bo15bo$ 90bo3bo5b2o3bo4b3o$91bobo7bo2bo4b2o2bo$92bo15bo3b2o$107bo2b3o$106bo2b 2o$106bo2bo$107bo2bo$95b2o13bo$95b2o11bobo2$106bo$104bob2o$103bo2b2o$ 104b2obo$104b2ob2o$105bobo$106bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 12 ZOOM 2 WIDTH 640 HEIGHT 400 TRACKLOOP 96 -1/12 -1/12 ]]
Two versions of Michael Simkin's extensible 4-engine Cordership
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 960, y = 981, rule = B3/S23 490b2o$490bobo$492bo4b2o$488b4ob2o2bo2bo$488bo2bobobobob2o$491bobobobo $492b2obobo$496bo2$482b2o$483bo7b2o$483bobo5b2o$484b2o6$511bo$494b2o 15b3o$494bo19bo$495b3o15bobo$497bo15bobo$514bo5$529b2o$529b2o4$509b2o$ 508bobo$508bo$507b2o7b2o$516b2o2$524b2obo$524b2ob3o$530bo$524b2ob3o$ 523bo2b2o$522bobo$504bo16bobob2obo$504b3o15bo2bob2o$507bo17bo$506b2o 16b2o$521bobo2b2o$521b2o2bo2bo$473b2o51b2o$472bobo$466b2o4bo$464bo2bo 2b2ob4o44b2o$464b2obobobobo2bo24b2o18bo$467bobobobo28bo16bobo2b2o$467b obob2o29bobo14b2o3bobo$468bo34b2o21bo4b2o$522b4ob2o2bo2bo$481b2o34b2o 3bo2bobobobob2o$472b2o7bo35b2o6bobobobo$472b2o5bobo44b2obobo$479b2o49b o$535bo$516b2o17b3o$517bo7b2o11bo$501b2o14bobo5b2o10bobo$500bobo15b2o 17bobo$500bo37bo$469b2o28b2o7b2o$470bo37b2o$467b3o$467bo$553b2o$528b2o 23b2o$528bo$529b3o$531bo$531bob2o$529b2obobo$529bo2bo$440bo90b2o7b2o$ 438b3o99b2o$437bo$436bobo59bo49b2obo$436bobo59b3o47b2ob3o$437bo63bo52b o$500b2o46b2ob3o$547bo2b2o$546bobo$528bo16bobob2obo$421b2o105b3o15bo2b ob2o$421b2o108bo17bo$530b2o16b2o$545bobo2b2o$545b2o2bo2bo$441b2o47bo 59b2o$441bobo46b3o27b2o$443bo49bo26b2o$434b2o7b2o47bo52b2o$434b2o56b2o 31b2o18bo$490b2o2bo31bo16bobo2b2o$354b2o11bo56bob2o61bo2b3o31bobo14b2o 3bobo$354b2o10bobo53b3ob2o62bo36b2o21bo4b2o$366bobo2b2o3bo44bo69b4o6b 2o3b2o38b4ob2o2bo2bo$365b2ob2o2bo2bobo6b2o36b3ob2o65bo7b2o3b2o33b2o3bo 2bobobobob2o$369bobo3bobo6b2o38b2o2bo66bo45b2o6bobobobo$365b2obo2b4obo 50bobo64b2o54b2obobo$365b2obobo3bo48bob2obobo16bo106bo$369bobo3bo47b2o bo2bo15b3o$370bobo3bo49bo17bo95b2o$371bo3b2o49b2o16b2o95bo7b2o$424b2o 2bobo94b2o14bobo5b2o$423bo2bo2b2o67b2o24bobo15b2o$424b2o71bobo24bo$ 362b2o127b2o4bo25b2o7b2o$362b2o125bo2bo2b2ob4o30b2o38bo$347b2o77b2o61b 2obobobobo2bo68b3o$346bo2bo44bo32bo64bobobobo70bo$345bob2o44bobo31bobo 62bobob2o71b2o$345bo48bo33b2o63bo58b2o$344b2o142bo63bo$359b2o125b3o17b 2o45b3o21b2o$359bo85b2o38bo11b2o7bo48bo22bo$360b3o65b2o15b2o37bobo10b 2o5bobo71bob2o$362bo10b2o52bobo54bobo17b2o64b2o4b3o2bo$372bobo52bo57bo 84b2o3bo3b2o$372bo24bo28b2o147b4o$371b2o22b3o163b2o15bo$394bo165bobo 12b3o$395bo126bo37bo13bo$394b2o49b2o22b2o51b3o34b2o14b5o$393bo52bo22b 2o23b2o29bo53bo$394b2o50bobo46bo28b2o51bo$395bo51b2o43b3o82b2o$395bobo 94bo$396b2o91b2obo$432b2o55bobob2o$432b2o57bo2bo$416b2o64b2o7b2o$416b 2o64b2o2$472bob2o$470b3ob2o68b2o$450bo18bo74b2o$448b3o19b3ob2o$447bo 24b2o2bo$448bo26bobo$447b2o3b2o17bob2obobo16bo$401b2o46b2o2bo17b2obo2b o15b3o$401b2o44b2o2b2o21bo17bo$448bobo23b2o16b2o$447bo2bo21b2o2bobo$ 448b2o21bo2bo2b2o50b2o$472b2o55b2o$381b2o11bo139bo$381b2o10bobo136b3o$ 393bobo2b2o3bo70b2o55bo$392b2ob2o2bo2bobo70bo54bobo$396bobo3bobo70bobo 52bobo$392b2obo2b4obo17b2o53b2o53bo$392b2obobo3bo19bo$396bobo3bo19b3o$ 397bobo3bo20bo68b2o$398bo3b2o72b2o15b2o$475bobo37b2o$475bo39b2o$474b2o $389b2o$389b2o$374b2o159b2o$373bo2bo116b2o40bobo$372bob2o118bo42bo$ 372bo121bobo31b2o7b2o$371b2o122b2o31b2o$386b2o9b2o21b2o$386bo9bobo21b 2o96bob2o$387b3o6bo17b2o64b2o34b3ob2o$389bo5b2o17b2o64b2o33bo$516b3ob 2o$518b2o2bo$416b2o103bobo$409b2o5b2o99bob2obobo16bo$409b2o106b2obo2bo 15b3o$498bo21bo17bo$496b3o21b2o16b2o$415b2o11bo14bo51bo22b2o2bobo$415b 2o10bobo12bobo51bo20bo2bo2b2o$427bobo2b2o3bo4b2o51b2o3b2o16b2o$426b2ob 2o2bo2bobo58b2o2bo$430bobo3bobo56b2o2b2o$426b2obo2b4obo3bo9bo44bobo21b 2o$426b2obobo3bo5b3o5b3o43bo2bo22bo$430bobo3bo7bo3bo47b2o23bobo$431bob o3bo5b2o3b2o72b2o$432bo3b2o2$461b2o76b2o$461b2o59b2o15b2o$423b2o96bobo $423b2o96bo$408b2o110b2o$407bo2bo$406bob2o$406bo$405b2o132b2o$420b2o 118bo$420bo119bobo$421b3o117b2o$423bo10b2o$433bobo11b2o6bo$433bo13b2o 6b3o68b2o$432b2o24bo11bobobobo49b2o$457b2o10bob2ob2obo$469bo3bo3bo$ 468b2o3bob2o$474bo$472bobo$472b2o70bo$542b3o$541bo$542bo$541b2o3b2o$ 543b2o2bo$541b2o2b2o$381b2o159bobo$382bo158bo2bo$380bo161b2o$380b5o14b 2o$385bo13bo$382b3o12bobo$381bo15b2o$381b4o$379b2o3bo3b2o$353b2o23bo2b 3o4b2o$353bobo22b2obo$355bo4b2o19bo$269bo81b4ob2o2bo2bo17b2o$269b3o31b 2o46bo2bobobobob2o$272bo31bo49bobobobo$271b2o29bo52b2obobo28b2o$302b5o 14b2o36bo30bo$307bo13bo65b3o$263b2o39b3o12bobo23b2o40bo40b2o$263bo39bo 15b2o25bo7b2o73bo$260b2obo39b4o39bobo5b2o73bob2o$260bo2b3o4b2o29b2o3bo 3b2o35b2o78bobobo$261b2o3bo3b2o28bo2b3o4b2o73bo37b2o2b2o2bo$263b4o33b 2obo81b3o35b2o6b3o$263bo15b2o22bo84bo45bo$264b3o12bobo21b2o70bo11b2o 11b2o31b2o$267bo13bo91b3o24b2o$262b5o14b2o89bo$262bo48b2o44b2o13b2o$ 264bo47bo44bo$263b2o44b3o46b3o$309bo51bo116b2o11bo14bo$358b2o2bo115b2o 10bobo12bobo$357bo2b2o128bobo2b2o3bo4b2o$357b2o16b2o112b2ob2o2bo2bobo$ 375b2o34b2o80bobo3bobo$410bobo76b2obo2b4obo3bo9bo$410bo78b2obobo3bo5b 3o5b3o$354b2o53b2o82bobo3bo7bo3bo$311bo42b2o28bo3b2o104bobo3bo5b2o3b2o $311b3o69bobo3bo27b2o49b2o25bo3b2o$314bo67bobo3bo29bo49b2o$301bo11b2o 11b2o50b2obobo3bo12b2o13b3o106b2o$299b3o24b2o50b2obo2b4obo10bo14bo7b2o 99b2o$298bo83bobo3bobo10b3o19b2o4b2o55b2o$298b2o78b2ob2o2bo2bobo12bo 24bobo37b2o16b2o$283b2o94bobo2b2o3bo38bo39bo2b2o$284bo82b2o10bobo45b2o 40b2o2bo$284bob2o79b2o11bo91bo$285bo2bo180b3o$286b2o166b2o12bo$301b2o 151b2o12b2o13b2o$301b2o34b2o144bo$336bobo145b3o$336bo149bo10b2o$335b2o 159bobo11b2o6bo$310bo3b2o180bo13b2o6b3o$309bobo3bo179b2o24bo11bobobobo $308bobo3bo143b2o60b2o10bob2ob2obo$304b2obobo3bo12b2o129bobo5b2o11b2o 52bo3bo3bo$304b2obo2b4obo10bo130bo7b2o11bobo50b2o3bob2o$308bobo3bobo 10b3o9b2o4b2o109b2o22bo4b2o50bo$304b2ob2o2bo2bobo12bo9bobo2bo2bo128b4o b2o2bo2bo46bobo$305bobo2b2o3bo24bo4bobo122bo5bo2bobobobob2o46b2o$293b 2o10bobo38bo119b2obobo7bobobobo$293b2o11bo158bobobobo8b2obobo$462bo2bo bobobob2o9bo$462b4ob2o2bob2o$466bo4bo$464bobo3b2o7b2o$463bobob2o2bobo 5b2o$463bobo2b2o2b2o$409b2o51b2ob2o$409bobo$411bo4b2o$407b4ob2o2bo2bo$ 407bo2bobobobob2o$410bobobobo$411b2obobo65b2o$415bo66bo$483b3o$401b2o 82bo$402bo7b2o$402bobo5b2o$403b2o3$149b2o$150bo$148bo302b2o$148b5o14b 2o283bo$153bo13bo245b2o35bo$150b3o12bobo245bo36b5o14b2o104b2o$149bo15b 2o247b3o38bo13bo105bobo$149b4o263bo35b3o12bobo107bo$147b2o3bo3b2o293bo 15b2o102b2o3bob2o$146bo2b3o4b2o293b4o117bo3bo3bo$146b2obo299b2o3bo3b2o 100b2o10bob2ob2obo$149bo298bo2b3o4b2o75b2o24bo11bobobobo$149b2o234b2o 61b2obo84bo13b2o6b3o$386bo64bo84bobo11b2o6bo$384bo66b2o23b2o48bo10b2o$ 157b2o225b5o14b2o71b2o46b3o$158bo195b2o11bo21bo13bo119bo$155b3o196b2o 10bobo17b3o12bobo55b2o62b2o$155bo210bobo2b2o3bo8bo15b2o57bo47b2o$365b 2ob2o2bo2bobo7b4o68b3o28b2o19bo$369bobo3bobo5b2o3bo3b2o63bo4b2o24b2o7b 2o10bob2o$365b2obo2b4obo5bo2b3o4b2o69bo33bo12bo2bo$365b2obobo3bo7b2obo 77bobo29bobo13b2o$369bobo3bo9bo67bo10b2o29b2o29b2o$370bobo3bo3bo4b2o 34bo29b3o51bo20b2o$371bo3b2o3b3o37bobo8b2o17bo52b3o58b2o$383bo36bobo9b o17b2o50bo61b2o$382b2o9b2o23b3ob2o7bo3b2o65b2o$386b2o6bo22bo13b2o3bo 98bo3b2o$362b2o22b2o3b3o24b3ob2o9bo2bob2o94bobo3bo5b2o3b2o$362b2o27bo 28bob2o9bo3bo2bo46bo22b2o21bobo3bo7bo3bo$347b2o82bob2o3b2o46bobob2o19b o17b2obobo3bo5b3o5b3o$346bo2bo81b2o2bo17b2o29b3obobo20bob2o14b2obo2b4o bo3bo9bo$345bob2o85b2o17b2o28bo3bo4bo10b2o4b3o2bo18bobo3bobo$345bo138b 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2o3bo3b2o244b2obobobobo2bo$206b2o10b2o43b2o45b2o61bo74b2o4b3o2bo243bo 2bo2b2ob4o$203b3o2bo54b2o45b2o7b2o51bobob2o78bob2o245b2o4bo$202bo3b2o 111bo52bobobobo77bo254bobo$203bo2bo110bobo49b2obobobobo2bo73b2o255b2o$ 204bobo71b2o37b2o50bo2bo2b2ob4o114b2o$205bo21bo49bobo91b2o4bo118bo$ 225b3o49bo99bobo17b2o48b2o48bo$224bo51b2o100b2o8b2o7b2o29bo18bo40b2o6b 2o$224b2o71b2o90bo36b3o19b3o37b2o$297b2o90bobo33bo24bo45b2o$390b2o33b 2o69b2o22b2o$202b2o19b2o32b2o261b2o$202b2o19b2o33bo219b2o$258bobo218bo $259b2o15b2o35bo93b2o70bobo39b2o$276b2o34bobo91bobo71b2o38bo2bo$307bo 4bobo91bo113bobo$305b3o5bo91b2o8b2o101bobobobo$205b2o52b2o43bo9b3o97bo bo5b2o93bobobobobo$206bo51bobo43b2o10bo97bo7b2o94bo2bo2bo$203b3o52bo 42bo111b2o104b2ob2o$203bo53b2o41bobo83b2o132bobo$300b2o85bo39bo92bobo 34b2o$210b2o102b2o71bobo33b2obobo92bo36bo$211bo43b2o36b2o19bo73b2o15b 2o15bobobobo129bobo$208b3o43bo2bo2b2o31bobo16bobo90b2o12bo2bobobobob2o 127b2o16b2o$208bo46b2o2bobo32b2o16b2o105b4ob2o2bo2bo146bo$257b2o16b2o 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60bo134bo19bo$212bo55bo11b2o7bo194b2o16bo2bob2o$211b2o56b3o17b2o90b2o 118bobob2obo$271bo109b2o119bobo$276bo226bo2b2o$275bobob2o223b2ob3o$ 236b2o37bobobobo35b2o191bo$231b2o2bo2bo33b2obobobobo2bo4b2o25bobo5b2o 178b2ob3o$231bobo2b2o34bo2bo2b2ob4o3bo2bo2b2o20bo7b2o71bo106b2obo$216b 2o16b2o38b2o4bo8b2o2bobo13b2o4b2o79bobo$217bo17bo44bobo8b2o16bobo84bob o97b2o$214b3o15bo2bob2o42b2o8bo19bo17bo67bo89b2o7b2o$214bo16bobob2obo 49b2obo2bo16b2o12b2obobo67b3o87bo95b2o$232bobo53bob2obobo28bobobobo69b o87bobo84b2o7b2o$233bo2b2o54bobo26bo2bobobobob2o155b2o85bo$234b2ob3o 49b2o2bo27b4ob2o2bo2bo242bobo$240bo46b3ob2o32bo4b2o245b2o$234b2ob3o46b o36bobo$234b2obo49b3ob2o30b2o184b2o$289bob2o216b2o84b2o$226b2o367bo$ 217b2o7b2o71b2o292bobo$174b2o42bo80b2o7b2o283b2o$156bo17b2o42bobo87bo 119bo$154bobo47b2o13b2o85bobo119b3o63bo$145bo7bobo11b2o35bo101b2o123bo 61bobo83b2o$144b2o6bo2bo11b2o23bobo7bobo225b2o61bobo82bobo$143b2o4b2o 2bobo36bo2bo6b2o290bo83bo$133b2o7b3o4b2o3bobo26b2o10b2o42b2o250b3o83b 2o$115b2o16b2o8b2o4b2o5bo26b2o8bo3b2o40b2o45b2o203bo$115b2o27b2o42b2o 5b2o89b2o$145bo29bo11bo4bo2bo$129b2o26bo16b3o15bobo407b2o$129b2o27bo 14b5o262b2o155b2o2bo2bo$120b2o3bo6b2o10bo11b3o13b2o3b2o26b2o17bo208b2o 5bobo154bobo2b2o$120bobo3bo5b3o7bobo41bo18bobo15bobo76bo130b2o7bo139b 2o16b2o$121b5o6b2o6b2o44b3o16bo17bobo75bobo138b2o139bo17bo$115bo6b3o4b 2o9b2o47bo34bo76bobo276b3o15bo2bob2o$114b3o12b2o9b2o32b3o11b2o31b3o4b 2o72bo126bo150bo16bobob2obo$113b5o24bobo7b2o20b3o44bo6b2o73b3o122bobob 2o164bobo$112bobobobo13bo11bo7bobo10bo139bo122bobobobo164bo2b2o$112b2o 3b2o13bobo19bo8bobo11bo247b2obobobobo2bo162b2ob3o37bo$132b2o20b2o8b2o 10bobo232b2o12bo2bo2b2ob4o168bo34b3o$175bo3bo10b3o219bo14b2o4bo166b2ob 3o34bo$115bo60b3o10b2ob2o218bobo18bobo164b2obo36b2o$114bobo57b2o3b2o8b 2ob2o219b2o19b2o$113b2obo52b2o18b5o398b2o$98b2o13b3o9bo43b2o17b2o3b2o 388b2o7b2o$98b2o12bo2bo8bo9b2o92bo355bo$112b3o9b3o8bo91b3o354bobo$111b o3bo19bobo8b2o66bo11b5o354b2o$110bo5bo19b2o7b3o64b3o10b2o3b2o398b2o$ 111bo3bo5bo20bob2o9b2o5bo48bo14b5o398bobo5b2o$112b3o7bo19bo2bo4bo5bo4b o49b2o13bo3bo398bo7b2o$120b3o19bob2o5bo9b3o24b2o37bobo375b2o21b2o$145b 3o3bo3bo7bo25bo38bo203bo172b2o$146b2o5bo22b2o8b3o19b3o220bobo208bo$ 142bo24bo8b2o8bo21b3o19b2o199bobo204b2obobo$143bo19b2o2b2ob3o34bo3bo 18bo199b2ob3o201bobobobo$96b5o40b3o19b2o4b4o28bobo2bo5bo18b3o202bo197b o2bobobobob2o$95bob3obo65b2o32b2o4bo3bo21bo196b2ob3o154bo43b4ob2o2bo2b o$96bo3bo9b2o8bo81bo5b3o219b2obo155bobo46bo4b2o$97b3o11bo3b3ob2o2b2o 464bobo44bobo$98bo9b3o4b4o4b2o33b2o19b2o232b2o175bo45b2o$108bo10b2o38b o19bo233b2o172b3o$159bobo6b2o7bobo36bo370bo$160b3o5bobo6b2o37b2o$96bo 39bo10bo14b3o6bo43bobo$96bo15b2o23bo8bo15bo2bo2bo2bo292bo$95bobo5bo4b 2obo2bob2o17b3o8b3o14b2o6bo34b2o205b2o47b3o$94b2ob2o2bobo4b2o2bo4bo50b obo36bo204bobo46bo$93bo5bo2b2o9bo45b3o6b2o34b3o205bo35b2o11b2o11bo$96b o17bobo44bo42bo206b2o35b2o24b3o$93b2o3b2o60bo316bo$476b2o$491b2o$96bo 26bo17b2o348bo$95bobo25b3o15b2o345b2obo$95bobo28bo360bo2bo$96bo28b2o 361b2o$98b3o372b2o$98b3o9b2o325b2o34b2o$97bo3bo9b2o324bobo$96bo5bo7bo 328bo$97bo3bo322bo14b2o$98b3o267bo51bo2bobob2ob2o28b2o3bo$170b2o196b3o 49b4obob2obo29bo3bobo$169bo2b2o197bo52b2o5bo29bo3bobo$103bo21b2o3b2o 37b2ob2o196b2o50bo3bob3o17b2o12bo3bobob2o$103b2o64b2ob2o248b2ob2obo20b o10bob4o2bob2o$102bobo21bo3bo40bo274b3o10bobo3bobo$127b3o105b2o209bo 12bobo2bo2b2ob2o$127b3o105bo224bo3b2o2bobo$225b2o6bobo232bobo10b2o$ 169bo54bobo5b3o234bo11b2o$145bo21bobo44b2o7bo6b3o16b2o129b2o$117b2o27b 2o20b2o44b2o7bo2bo2bo2bo16b2o122b2o5bobo$101bo15b2o8b2o16b2o76bo6b2o 141b2o7bo$100b3o14b2o8b2o95bobo155b2o$99b5o13bo40bo22b2o42b2o$98bobobo bo11bobo36b4o22b2o186bo$98b2o3b2o11bobo10b3o22b4o210bobob2o$117bo13bo 3b2o17bo2bo210bobobobo$130bo4b2o17b4o207b2obobobobo2bo$101bo46b2o5b4o 6b2o198bo2bo2b2ob4o$100bobo11b2o3b2o26bobo8bo6bobo81bo117b2o4bo$100bob o11bobobobo3b2o8b3o10bo19bo80b3o122bobo$101bo13b5o4b2o8b2o9b3o19b2o78b 5o122b2o$101b2o13b3o18b2o5bo101b2o3b2o$101b2o14bo18b3o5b2o101b5o$101b 2o32bobo56b2o51bo3bo$135b2o57bobo20bobo28bobo$152b2o40bo22b2o30bo$131b 2o8b3o8b2o64bo$131bobo6b2ob2o106b2o$131bo8b2ob2o99b2o5bo$140b5o100b2o 5b3o$118b3o18b2o3b2o5b3o90bo9bo$117b2ob2o29b3o$117b2ob2o28bo3bo$117b5o 17bo9bo5bo$116b2o3b2o14b2obo9bo3bo$140bo10b3o2$137bob2o$139bo2bo13bo$ 117b2o21bobo13b2o$155bobo3$119b2o$119b2o18b3o25b2o$138bo3bo23b2o$137bo 5bo24bo$138bo3bo11bo$139b3o11b3o$139b3o10b5o$151bobobobo$151b2o3b2o17b o$174b2o$139b2o33bobo$139b2o13bo32bobo$153bobo31b2o$153bobo32bo$154bo$ 153b2o59b2o$153b2o27b2o31b2o$153b2o26b2o22b2o7bo$183bo21bo$193b2o8bobo $191bo3bo7b2o$182bo7bo5bo$182bobo4b2obo3bo$171b2o12b2o3bo5bo$171b2o12b 2o4bo3bo$185b2o6b2o$182bobo25b2o$182bo27b2o3$199b2o8b2o$200b2o7b2obo$ 199bo12bo27b2o$212bo27b2o$209bo2bo$210b2o2$192bo$192b2o14b2o$180bobo8b obo14bobo$180bo3bo23bo$170b2o12bo10b2o$170b2o8bo4bo7bo2bo24b2o$184bo7b o28bobo$180bo3bo7bo18bo4b2o4b3o$180bobo9bo17bobob2o2bo4b3o$193bo2bo12b o3bob3o4b3o$195b2o12bo3bob2o4bobo6b2o$209bo3b2o6b2o7bobo$210bobo19bo$ 211bo20b2o6$448bo$446b3o$445bo$445b2o3$439bo$438bobo$431b2ob2o3bo$429b o2bob2o$429b2o$442b2o$434bo2bo4b2o$434b4o$431bo$431b5o11bo$435bo7b2obo bo$433bo8bobobobo$433b2o4bo2bobobobob2o$439b4ob2o2bo2bo$443bo4b2o$441b obo$441b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 WIDTH 1200 HEIGHT 900 ZOOM 0.75 ]]
Infinite Cordership gun
(click above to open LifeViewer)
RLE: here Plaintext: here

Smaller versions

In September 2020, various smaller 4-engine Corderships were found by Ian07 in an apgsearch-based diagonal-symmetric search.[6] Most notably, one of the results has only 108 cells in its minimum phase, much smaller than Bell's original version.[7] The search also found 4-in-a-row Cordership that has a period of 192 instead of the usual 96.

x = 77, y = 77, rule = B3/S23 51bo$50bobo$50bobo$50bo2bo$51bobo$54bo$53b2o$53bo13b2o$67b2o3$51bo$50bobo$52b o$52bo$52bo22b2o$75b2o$53bo$37bo11b2ob3o$36b3o12b3ob2o$54bo$36b3o$37b2ob2o$ 39bo2$59bo$59bo$59bo9$19bobo$18b2ob2o$19bob2o$23bo$22bo$22bo8$18bo$b3o8bo5bo$ o3bo6bo7bo$b2o9b4o2b2o$3b2ob2o9b3o$5b2o11bobo$19bo$19bo3$25b3o8$7b2o$7b2o7$ 15b2o$15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 X 4 Y 4 TRACKLOOP 96 -1/12 -1/12 THUMBSIZE 2 GPS 12 HEIGHT 750 WIDTH 750 ]]
108-cell 4-engine Cordership
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

An analysis of the 108-cell Cordership reveals that the inner two and outer two switch engines have some degree of temporal independence from each other. The reason is that the inner exhaust from the outer engines create a block that is then hit by the inner engines' outer exhaust, making a blinker that then gets hit with the outer engines' outer exhaust (as well as a block from the outer engines' outer exhaust) to create another block; this is then destroyed by the outer exhaust from the outer switch engines. Each new object only needs to form in time to get converted into the next object/nothing, and this allows for variability in timing. In addition, there is also a small degree of spatial independence. The inner engines' inner exhaust cancel out via the same interaction as in switchwave, said exhaust still cancels out if the halves are put one cell farther away from each other than usual. As a result, there are many variations of this Cordership.

See also

References

  1. ↑ Jason Summers' jslife pattern collection. Retrieved on October 28, 2020.
  2. ↑ New Sawtooth Patterns at Game of Life News. Posted by Dave Greene on August 10, 2005.
  3. ↑ Michael Simkin (November 5, 2014). Four engine extendable Cordership (discussion thread) at the ConwayLife.com forums
  4. ↑ Goldtiger997 (September 18, 2017). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
  5. ↑ Adam P. Goucher (January 22, 2018). Re: Stable signal converters (discussion thread) at the ConwayLife.com forums
  6. ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on December 12, 2020.
  7. ↑ Ian07 (December 7, 2020). Message in #cgol on the Conwaylife Lounge Discord server
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