3-engine Cordership

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3-engine Cordership
31b3o24b$32bo25b$32bo2bo22b$32bo2bo22b$33bobo22b$48b2o8b$48b2o8b3$32bo 25b$31bobo24b$32bo25b$49bo8b$48bo7b2o$30b4o22b2o$30b2o3bo10bo11b$31bo 4bo9bobo9b$33bob2o10bo10b$34bo23b3$42bobob2o10b$25bo16bobo13b$24b3o17b o2bo10b$43bo3bo10b$24b3o16b4o2b2o7b$25b2ob2o14bo5b2o6b$27bo21bo8b3$b3o 54b$2bo55b$2bo2bo52b$2bo2bo52b$3bobo52b$18b2o38b$18b2o38b$24bo33b$23b 3o32b$2bo19b2ob2o31b$bobo18bobo33b$2bo19bo35b3$4o54b$2o3bo13bo38b$bo4b o11bobo37b$3bob2o11bo39b$4bo15b2o36b$21bo36b$18b3o37b$19b2o37b$16bo41b $16b2o40b$16b2o40b$6b2o6b2o42b$6b2o4b2o44b$12b2obo42b$14b2o42b5$14b2o 42b$14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ ZOOM 8 TRACKLOOP 96 -1/12 -1/12 THUMBSIZE 2 GPS 12 HEIGHT 640 WIDTH 640 ]]
Pattern type Spaceship
Family Cordership
Number of cells 149
Bounding box 58 × 65
Direction Diagonal
Period 96
Mod 48
Speed c/12
Speed (unsimplified) 8c/96
Heat 156.1
Discovered by Paul Tooke
Year of discovery 2004

A 3-engine Cordership is a c/12 diagonal spaceship, specifically a Cordership consisting of three switch engines. Shown in the infobox is the first example that was discovered by Paul Tooke on January 12, 2004. It was the only known Cordership of this type until September 15, 2020, when wwei23 discovered several new ones with different timings between three engines.[1] The rest of this article only deals with Tooke's original 3-engine Cordership.

It was once the Cordership that used the fewest number of known possible switch engines, although the 4-engine Cordership is smaller in terms of minimum population. Later, both were surpassed by 2-engine Cordership in 2017.

Reactions

As found by Jason Summers, the 3-engine Cordership can easily be destroyed by three eater 1s and four blocks, as shown to the left below. David Bell discovered in 2005 that the 3-engine Cordership can turn a lightweight spaceship 90 degrees with a spark similar to the one from twin bees shuttle, as shown to the right.[2]

x = 87, y = 95, rule = B3/S23 46b2o$25bo20b2o$25b3o$28bo$27b2o4$54b2o$54b2o15$18bo$18b3o$21bo$20b2o 3$60b3o$61bo$61bo2bo$b2o58bo2bo$2bo59bobo$2bobo72b2o$3b2o72b2o3$61bo$ 60bobo$61bo$78bo$77bo7b2o$59b4o22b2o$59b2o3bo10bo$60bo4bo9bobo$62bob2o 10bo$63bo3$71bobob2o$54bo16bobo$53b3o17bo2bo$2o70bo3bo$2o51b3o16b4o2b 2o$54b2ob2o14bo5b2o$56bo21bo3$30b3o$31bo$8b2o21bo2bo$8b2o21bo2bo$32bob o$47b2o$47b2o$53bo$52b3o$31bo19b2ob2o$30bobo18bobo$31bo19bo3$29b4o$29b 2o3bo13bo$30bo4bo11bobo$32bob2o11bo$33bo15b2o$50bo$47b3o$48b2o$45bo$ 45b2o$45b2o$35b2o6b2o$35b2o4b2o$41b2obo$43b2o5$43b2o$43b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 4 HEIGHT 450 ]]
3-engine Cordership eater using eater 1s and blocks (click above to open LifeViewer)
RLE: here Plaintext: here
x = 63, y = 68, rule = B3/S23 36b3o$37bo$37bo2bo$37bo2bo$38bobo$53b2o$53b2o3$37bo$36bobo$37bo$54bo$ 53bo7b2o$35b4o22b2o$35b2o3bo10bo$36bo4bo9bobo$38bob2o10bo$39bo3$47bobo b2o$30bo16bobo$29b3o17bo2bo$48bo3bo$29b3o16b4o2b2o$30b2ob2o14bo5b2o$ 32bo21bo3$6b3o$7bo$7bo2bo$7bo2bo$8bobo$23b2o$23b2o$29bo$28b3o$7bo19b2o b2o$6bobo18bobo$7bo19bo3$5b4o$5b2o3bo13bo$6bo4bo11bobo$8bob2o11bo$9bo 15b2o$26bo$23b3o$24b2o$21bo$21b2o$21b2o$11b2o6b2o$11b2o4b2o$17b2obo$ 19b2o5$19b2o$b2o16b2o$4o$2ob2o$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 4 ]]
3-engine Cordership about to reflect a lightweight spaceship by 90 degrees
(click above to open LifeViewer)
RLE: here Plaintext: here

The spark from 3-engine Cordership can also reflect a glider, which was used in the original 269-cell form of sawtooth 260.

Synthesis and related constructions

A 15-glider synthesis was found early on and used in several constructions, including a period-690 gun (based on period-690 glider gun) and a period-240 c/2 orthogonal rake, both of which were published on January 19, 2004.

x = 279, y = 258, rule = B3/S23 115bo$106bo8b2o$105bobo2b2o4b2o$105bobo2b2o4b3o7b2o$106bo3b2o4b2o8b2o$ 115b2o62b2o$115bo63b2o$23b2o78b2o3b2o$23b2o78b2o3b2o2$105b3o116b2o$24b o80b3o115bobo$23bobo80bo23b2o90bo6b2o$22bo3bo86b2o14b2ob2o6b2o80bo2bo 2bo2bob2o$22b5o86b2o15bo2bo6b2o37bo42bo6b2o2b2o$21b2o3b2o102bo2bo44b3o 31b3o8bobo28b2o$22b5o73bobo28b2o44b5o42b2o28b2o$23b3o74bo3bo71b2o3b2o 29bobo$24bo65b2o12bo9b3ob3o10b2o78b5o$90b2o8bo4bo7bob2ob2obo8bo2bo27b 2o47b2o3b2o$104bo7b2o7b2o7bo2bo6b2o2b2o14b2ob2o6b2o37b2o3b2o$41b2o57bo 3bo8bob2ob2obo7b2ob2o6b2o2b2o15bo2bo6b2o5b3o73bo$31b2o7bobo15b2o40bobo 11b3ob3o9b2o29bo2bo13b3o46b2o2bobo20bo$31b2o6b2obo15b2o102b2o19b2o28bo 6b2o4b3obo3bo12b2o4bobo$40b2o141b2o26b2o7b2o3b2o6bo13b2o3b2ob2o$17b2o 22bo120b2o14b2o6b2o6b2o30bob5o18bo5bo$17bobo141bo2bo12bo2bo5b3o5b2o11b o2bo16b3o24bo$8b3ob2o4b3o20bo102b2o15bo2bo13b2o6b2o17bobo2bo40b2o3b2o$ 8b4o2bo4b3o18b2o102b2o14b2ob2o18b2o12b2o4b2o9bo12b3o33b2o$12b2o4b3o18b 2obo15b2o101b2o20b2o12b2o4b2o6bo14bob5o30bobo$17bobo20bobo15b2o143b2o 8b2o10b2o6bo13b2o5bo3b2o4b3o$17b2o22b2o162bobo18b3obo3bo12b2o4bob3o2bo 4b3o$207bo19b2o2bobo19bob2ob2o4b3o$186b2o66bo8bobo$186b2o75b2o$53b2o$ 54bo$54bobo8b2o119b3o$20b2o5b2o26b2o6bo2bo7bo111b3o70b2o$20b2o5b2o33bo 7b2o3bo177bo5b2o$62bo6bo5bo176b3o$62bo7b5o176bo3bo14bo$63bo2bo117b2o3b 2o60b2ob2o13b3o$65b2o118b5o78b5o$76b2o108b3o63b3o12b2o3b2o$77bo109bo 64b3o13b5o$77bobo8b2o84bo93bo3bo$78b2o7b3o83bobo93bobo$84bob2o9b2o73bo b2o94bo$84bo2bo4bo5bo67b2o3b2ob2o$84bob2o5bo72b2o4bob2o$87b3o3bo3bo75b obo70bo7b2ob2o10b2o$88b2o5bo78bo48b2o19b3o7b2ob2o10b2o$223bo19bo10b2ob 2o$210bo10bobo19b2o7bob2ob2obo$19b2obo3bob2o66b2o111bobo9b2o29b3o3b3o$ 19bo2bo3bo2bo67bo83b2o19b2o3b2o3bo40bo5bo$20b3o3b3o68bobo10bo69bo2bo 18b2o3b2o3bo27b3o$98b2o9b4o67bo7bo18b2o3bo27b3o$108b2obobo3b2o61bo2bo 3bobo19bobo27bo3bo$107b3obo2bo2b2o61b2ob2ob2ob2o19bo27bo5bo$108b2obobo 70bobo52bo3bo$109b4o70b2ob2o52b3o$110bo$130bo$20b2o108b3o119b2o5b2o$ 20b2o111bo118b2o5b2o$132b2o47b3o3b3o$180bo9bo$180bo3bobo3bo$14b2o165b 3o3b3o$14bobo165bo5bo$9b2o6bo223b2o$5b2obo2bo2bo2bo116b3o104b2o$5b2o2b 2o6bo115bo3bo$14bobo8b3o$14b2o116bo5bo$25bobo104b2o3b2o$24b5o$23b2o3b 2o$23b2o3b2o105bo92bo$134bobo89b3o$134bobo88bo$26bo109bo44b2o5b2o35b2o $27b2o107bo44b2o5b2o$133bo2bo86bo$29bo104b2o86b3o$221bo3bo$25bo2bo194b o$25b2o193bo5bo$220bo5bo$221bo3bo$222b3o4$228bo2bo$231bo7b3o23bo$227bo 9bo4bo21bobo$227b2o8bo5bo19bob2o$233bo8bo19b2ob2o10b2o$52b2o14bo7b2o 145b2o5b2o8b2o21bob2o10b2o$51bobo13b2o6bo2bo12b2o130b2o39bobo$50bo6b2o 7bo8bo2b2o11b2o137b2o8b2o23bo$41b2o7bo2bo2bo2bo7b2obo4bo2bo154bo8bo$ 41b2o7bo6b2o9b3o6bo149b2o8bo5bo10b2o$51bobo173bo9bo4bo11b2o$52b2o14b3o 6bo153bo7b3o19b3o$65bob2obo4bo2bo18b2o129bo2bo28b2ob2o$56b3o5bo10bo2b 2o11b2o4bobo160b2ob2o$56b3o5bo3bo6bo2bo12b2o5b3o159b5o$11b2o42bo3bo5b 4o7b2o21b2o158b2o3b2o$10bobo13b3o5b4o12b2o2bo5bo38b2o$9b3o4b2o8bo7b2ob o12b2o3bo3bo37bobo$2o6b3o4bo2bo7b2obo7bo18b3o39bo$2o7b3o4b2o10b2o5b2o$ 10bobo247b2o$11b2o15b2o5b2o58b2o3b2o$16bo9b2obo7bo57b2o3b2o$15bobo5b4o 7b2obo12b2o$14bo3bo4b6o5b4o12b2o45b3o162b2o$14b5o67bo10b3o162b2o$13b2o 3b2o66b2o10bo$14b5o58b2o2b2o4b2o$15b3o38b2o19b2o2b2o4b3o$16bo39b2o23b 2o4b2o$86b2o$86bo4$92b2o$74b2o16b2o$74b2o$15b2o$15b2o2$93bo5bo$92b3o3b 3o$91bo2b2ob2o2bo$91bo3bobo3bo$93bobobobo$72b2obob2o$90b2ob2o3b2ob2o$ 72bo5bo13bo7bo$63b2o$63b2o8b2ob2o$54b2o3bo6b2o7bo$54bobo3bo5b3o$55b5o 6b2o$56b3o4b2o$63b2o4$51b2o16b2o$51b2o16b2o$75b3o$74bo3bo13b2o5b2o$74b 2ob2o13b2o5b2o2$74b2ob2o$76bo$148bo$147bobo$147b2obo$69bo7bo69b2ob2o3b 2o$49b2o3b2o12bo2bo3bo2bo68b2obo4b2o$40bobo8b3o18bobo61b2o9bobo$40bo2b o6bo3bo17bobo60bobo10bo$31b2o10b2o6bobo18bobo60bo$31b2o8bo3b2o5bo15bo 2bo3bo2bo55b2o$36b2o5b2o24b3o3b3o$35bo4bo2bo$40bobo4$46b2o5bo$27b2o17b 2o4b3o$27b2o22b2ob2o2$50bobobobo12b2o5b2o$69b2o5b2o$51b2ob2o61bo$51b2o b2o60bobo$53bo60b2o3bo$114b2o3bo9b2o$28bo85b2o3bo9b2o$27b3o80b2o4bobo$ 26b5o78bobo5bo$25b2o3b2o77bo$20bo87b2o$19bobo$7b2o10b2obo$7b2o10b2ob2o 3b3o15b2obo3bob2o$19b2obo4b3o15bo2bo3bo2bo$19bobo24b3o3b3o$20bo4$22b2o 4b3o$22b2o3bo3bo$27b2ob2o$28bobo15b2o5b2o39bo$46b2o5b2o39b4o$28bobo64b 4o$27b2ob2o63bo2bo5b2o$27bo3bo63b4o5b2o$28b3o54b2o7b4o$84bobo7bo$84bo$ 83b2o6$21b3o5b3o$21bo2b2ob2o2bo$22b3o3b3o$23bo5bo$63bobo$63bo2bo$66b2o $64bo3b2o4b2o$66b2o6b2o$55b2o6bo2bo$22b2o5b2o23bobo6bobo$22b2o5b2o23bo $53b2o3$37bo3bo$21b2o13bobobobo8b4o$21bobo10b2o2bobo2b2o6bo2b2o6b2o$ 16b2o6bo9b2o7b2o7bo2b2o5b2o$12b2obo2bo2bo2bo9b2o2bobo2b2o7bo2bo$12b2o 2b2o6bo11bobobobo10b2o$21bobo13bo3bo$21b2o30b2o$52bo2bo$35b2o15bo2b2o 5b2o$35b2o14bo2b2o6b2o$51b4o4$27b3o$26bo3bo$25bo5bo5bobo$26bo3bo4bo3bo $27b3o5bo12b2o$27b3o4bo4bo8b2o$35bo$35bo3bo$37bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 2 THUMBSIZE 2 HEIGHT 600 WIDTH 600 ]]
Period-690 3-engine Cordership gun by Paul Tooke[3] (click above to open LifeViewer)
RLE: here Plaintext: here
x = 461, y = 424, rule = B3/S23 142b2o$126b2o13b2ob2o$125b4o13b4o$124b2ob2o14b2o$125b2o$147bo$146b3o$ 130bo11bo3b2obo$128b4o10bo6bo$127bob5o14bo6bo$126b2o6bo18b2o$127b3obo 3bo18b2o$128b3o3bo$133bo$160bo5b2o$126b2o30b2o5b2ob3o$125b4o4b4o22b2o 5b5o$124b2ob2o4bo3bo3bo2bo22b3o$125b2o6bo6bo$134bo2bo2bo3bo20bo$140b4o 9b2o8b2o$146b3o5b2o8b2o$146b2ob2o6b3o$146b3o5b2o$140b4o9b2o$140bo3bo$ 140bo$141bo2bo$159bo2bo$158bo$158bo3bo$100b2o56b4o$99b4o68bo$98b2ob2o 68bo$82b2o15b2o58b3o3bo$81b2ob2o72b5o2bo7bo$82b4o71b2ob4obo7bo$83b2o 73b2o$103bo$97b2o3b3o$85b3o9b3ob5o$84b2o3bo9b3o8bobo$83b2o2bobo9b3o8b 2o46b4o$84bo5bo9bo10bo46bo3bo$85b2o2bo11bo56bo$89bo34b3o32bo2bo$87bo 27bobo5b5o$91bo2bo20b2o5b2ob3o$82b2o6bo25bo6b2o$81b2ob2o4bo3bo$82b4o4b 4o3b4o$83b2o12bo3bo9bo8bobo$97bo11b2o9b2o14bo$98bo2bo2b2o5b3o7bo12bo3b o$103b3o6b3o18bo$98bo2bo2b2o5b3o19bo4bo$97bo11b2o22b5o$97bo3bo9bo$97b 4o2$115b2o$114b2ob2o$115b4o17b2o$116b2o17b3o$117bo18b2o$115bo3bo2b2o 13bobo$114bo5bob2o14b2o$114bo5b4o$114b6o2$130b2o46bo2bo$129b2ob2o43bo$ 130b4o5b2o36bo3bo$131b2o5b2ob4o15b4o13b4o$139b6o15bo3bo$140b4o16bo$ 161bo2bo$181b3o$165bo10bobobo3bo$163b3o10bo7bo27bobo10bo$162bo3bo15b2o 5bo22b2o9b2o$162bo4b3o19bobo21bo10b2o$162b2obob3o8bo10b2o$164bo3b2o34b o$165bobo34bo3bo$194bo6bo$194bobo4bo4bo$160b4o5b2o23b2o5b5o$160bo3bo3b 2ob2o4b2o$160bo8b4o3b4o$161bo2bo5b2o3b2ob2o9bo9bo$176b2o11bo9bobo$182b obo4b2o2bo5b2o$181b2o2bo7bo$182bobo4b2o2bo$176b2o11bo$175b2ob2o9bo$ 176b4o$177b2o$68b2o125b2o$66bo4bo122b4o$65bo127b2ob2o$57bo2bo4bo5bo68b o2bo50b2o$56bo8b6o68bo64bo$56bo3bo78bo3bo59bobo$56b4o62b4o13b4o55b2o2b 2ob3o6bo$42b4o76bo3bo66b12ob2o6bobo$41b7o4b2o68bo70bo7bo2bo9b2o$40b2ob 3ob2o2bobo69bo2bo66bo6b2o3b2o$41b2o3b2o2bo2b2o93bo45bo$50bo2bo73b2o19b obo45b2o$44b2o4bobo72b5o18b2o$42bo8bo72bo4bo2b3obo63b2o$41bo82bo2b3o3b o3b2o60b4o$41bo3bo78b2o2bo7bobo14bo44b2ob2o$41b4o81b2o7b2obo14bobo10bo 32b2o$25b2o109b2o15b2o9bo3bo$24b4o108bo26bo$23b2ob2o135bo4bo$24b2o5b2o b3o85b4o5b2o25bo4b5o$30bo5b2o84bo3bo3b2ob2o4b2o17bobo$29b2o7bo10bo72bo 8b4o3b4o16b2o$30bo5b2o9bo2bo72bo2bo5b2o3b2ob2o9bo$24b2o5b2ob3o10b2o89b 2o11bo11b2o$9bo2bo5b2o3b2ob2o116bobo4b2o2bo7b2o$8bo8b4o3b4o115b2o2bo7b o18b2o$8bo3bo3b2ob2o4b2o16b2o99bobo4b2o2bo17b2ob3o$8b4o5b2o24bobo3b5o 84b2o11bo22b5o$43bo5bo4bo82b2ob2o9bo23b3o$49bo88b4o$50bo3bo21b2o61b2o$ 19b2o17b2o12bo22b2ob4o73b4o$10b3o7b2o16bobo26b2o7b6o73bo3bo14b2o$10bo 6bo2bo17bo27b2ob2o6b4o74bo19b2o$10bobo6bo34b2o11b4o85bo17bo$11b2o3b2o 34bo15b2o88b2o$33b2o16bo6bo103b3o$33bo17bo8bo94b2o3b2o3bo$9bo2bo20bo 17b8obo93b2ob3obo2bo$8bo22b2o23b2o97b9o108bobo10bo$8bo3bo143b4o112b2o 9b2o$8b4o13b4o118bo22b4o99bo10b2o$25bo3bo22b2o94b2o20bo3bo$25bo25b2ob 2o91b2o21bo8b6o$26bo2bo22b4o115bo2bo4bo5bo$35bo2bo14b2o124bo$34bo28b2o 115bo4bo$34bo3bo7bo15b2o118b2o$34b4o4bo3b3o15bo$40b2o5b2o$40b3o6bo8bo$ 40b2o5b2o9b2o$34b4o4bo3b3o9b2o$28bo2bo2bo3bo7bo$19b2o6bo6bo$18b2ob2o4b o3bo3bo2bo22b3o$19b4o4b4o22b2o5b5o$20b2o30b2o5b2ob3o$54bo5b2o$27bo$22b 3o3bo78b2o$21b3obo3bo18b2o56bobo$20b2o6bo18b2o59bo156bo$21bob5o14bo6bo 215bobo$22b4o10bo6bo75bo21bo123b2o$24bo11bo3b2obo74b2o22bo131bo$40b3o 75bobo19b3o131bobo$41bo10b3o219b2o$19b2o30b5o$18b2ob2o14b2o11b2ob3o$ 19b4o13b4o11b2o$20b2o13b2ob2o$36b2o17b2o$54b3o31b4o$55b2o2b2o26b9o$59b 2o25b2ob3obo2bo$50b2o3bo31b2o3b2o3bo$49b2ob4obo36b3o$50b7o33b2o$51b2o 35bo15bo$87bo15bobo$37b4o46bo3bo13bo$36b7o44b4o13bo$35b2ob3ob3o$36b2o 3b2obo$69b4o$39b2o28bo3bo$37bo31bo7bo$36bo33bo2bo2b7o$36bo3bo34b2ob3o 2bo10bo$36b4o30bo2bo2b7o9b3o$49bo19bo7bo15bobo$48b2o5b2o12bo3bo$18b4o 26bobo3b4o4b4o3b4o$18bo3bo10bo19b2ob2o4bo3bo22bo$18bo7b2o4bobo19b2o6bo 25b2o5b2o$19bo2bo2b4o3bo2b2o26bo2bo21bobo3b2ob3o$24b2o3bo5bob2o56b5o$ 19bo2bo2b4o3bo2b2o59b3o$18bo7b2o4bobo29b2o18bo247bobo10bo$4b2o12bo3bo 10bo22b2o7bo17b2o247b2o9b2o$3b4o4b4o3b4o17bo15b2o5bo2bo17bobo241bo5bo 10b2o$2b2ob2o4bo3bo22b2o16b2o4b3o263b2o$3b2o6bo26bobo3b2o11bo3b2o15bo 248b2o$12bo2bo27b2ob3o29bo$44b5o27bobo$16b2o16bo10b3o7b2o20bo$6b2o8b2o 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Period-240 3-engine Cordership rake by Jason Summers[4] (click above to open LifeViewer)
RLE: here Plaintext: here

In 2009, Dave Greene discovered a glider synthesis for upgrading a switch engine to a wing, which can be repeated to form the complete Cordership. Adam P. Goucher then built a Herschel conduit to convert a glider into a 3-engine Cordership.[5]

In March 2017, thanks to Luka Okanishi's discovery of a three-glider synthesis for a switch engine, the minimal recipe for a 3-engine Cordership was reduced to 11 gliders.

See also

References

  1. wwei23 (September 15, 2020). Re: Thread For Your Unsure Discoveries (discussion thread) at the ConwayLife.com forums
  2. New Compact Corderships at Game of Life News. Posted by Dave Greene on June 18, 2005.
  3. Patterns/Life/Guns/p690-PT-Cordership-gun.rle from Golly's pattern collection
  4. Patterns/Life/Rakes/c2-Cordership-rake.rle from Golly's pattern collection
  5. "First complete glider-to-Cordership converter". Dave Greene (February 7, 2009). Retrieved on June 15, 2009.

External links