2-engine Cordership

The 2-engine Cordership is a c/12 diagonal spaceship that was discovered by Aidan F. Pierce on December 31, 2017.[1] It is the Cordership that uses the fewest number of switch engines known to be possible, as well as the smallest Cordership in terms of population, and the smallest engineered spaceship.

2-engine Cordership
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Pattern type Spaceship
Family Cordership
Number of cells 100
Bounding box 41×48
Direction Diagonal
Period 96
Mod 96
Speed c/12
Speed (unsimplified) 8c/96
Heat 110.4
Discovered by Aidan F. Pierce
Year of discovery 2017

The 2-engine Cordership was voted the Pattern of the Year 2017 on ConwayLife.com.[2]

Reactions

Dave Greene noted that the 2-engine Cordership, like its 3-engine counterpart, can be stopped by a single glider from behind without releasing any gliders or other spaceships,[3] and updated Martin Grant's Model D Heisenburp device for the 2-engine Cordership.[3]

Dave Greene, Blinkerspawn and Matthias Merzenich noted that the 2-engine Cordership can be eaten by a constellation of two eaters and three blocks:[3]

<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>x = 83, y = 86, rule = B3/S23 19b2o$19b4o$19bob2o2$20bo$19b2o$19b3o$21bo$33b2o$33b2o7$36bo$35b2o$34b o3bo$35b2o2bo$40bo$37bobo$38bo$38bo$38b2o$38b2o3$13bo10bo$12b5o5bob2o 11bo$11bo10bo3bo9bo$12b2o8b3obo9b2o$13b2o9b2o12bo$2o13bo21b3o$2o35b3o 7$8b2o$8b2o11b2o$19b2o2bo$24bo3bo$18bo5bo3bo$19bo2b2o3bobo$20b3o5bo47b 2o$28bo47b2o20$79b2o$79bo$80b3o$82bo5$39b2o$39b2o4$66b2o$66bo$67b3o$ 47b2o20bo$47b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME 6 THUMBNAIL THUMBSIZE 2 ZOOM 6 HEIGHT 600 WIDTH 600 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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2-engine Cordership eater
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RLE: here Plaintext: here

gmc_nxtman pointed out that the 2-engine Cordership can reflect a glider 180 degrees, while preserving its mod-4 timing, resulting in an updated version of glider loop.[4]

Synthesis and seeds

Dave Greene found a 13-glider synthesis of the 2-engine Cordership on the day of its discovery,[5] which Luka Okanishi improved to 9 gliders.[6]

Two-glider seeds using as few as 9 still lifes and one-glider seeds using 15 still lifes are known.[7][8]

<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html> #N 2-engine Cordership, slow salvo construction of 1-glider seed #O Dave Greene, 2018 #C http://conwaylife.com/forums/viewtopic.php?p=57674#p57674 #C http://conwaylife.com/wiki/2-engine_Cordership x = 761, y = 777, rule = B3/S23 2o$2o4$3o$o$bo9$11b3o$11bo$12bo8$13b2o$12b2o$14bo5$13b3o$13bo$14bo$31b 3o$31bo$32bo39$75b2o$74b2o$76bo2$80b2o$79b2o$81bo11$59b2o29b2o$58b2o 29b2o$60bo30bo11$99b2o$98b2o$100bo$113b2o$112b2o$114bo21$144b2o$119b2o 22b2o$118b2o25bo$120bo$113b2o$112b2o$114bo8$128b2o$127b2o$129bo3$117b 2o$116b2o$118bo24b2o$142b2o$144bo2$133b2o$132b2o$134bo7$155b2o$154b2o$ 156bo10$165b3o$165bo$166bo4$165b2o$164b2o$166bo8b2o$174b2o$176bo13$ 193b2o$192b2o$194bo2$196b3o$196bo$197bo8$209b3o$209bo$210bo4$217b3o$ 217bo$218bo2$207b3o$207bo$208bo23b3o$232bo$213b3o17bo$213bo$214bo$203b 2o$202b2o$204bo29b3o$234bo$224b3o8bo$224bo$225bo$236b2o$214b2o19b2o$ 213b2o22bo$215bo8$240b2o$230b2o7b2o$229b2o10bo$231bo11$228b2o$227b2o$ 229bo14$246b2o$245b2o$247bo36$266b3o$266bo$267bo8$279b3o$279bo$280bo5$ 294b3o$294bo$295bo3$291b2o$290b2o$292bo21$319b3o$319bo$320bo9$313b3o$ 313bo$314bo14b3o$329bo$330bo3$320b3o$320bo$321bo2$338b3o$338bo$339bo5$ 353b3o$353bo$354bo9$378b2o$377b2o$365b3o11bo$365bo$366bo8$380b3o$380bo $381bo5$374b3o$374bo$375bo2$392b3o$369b2o21bo$368b2o23bo$370bo6$384b2o $383b2o$385bo7$376b2o$375b2o$377bo$413b2o$412b2o$414bo$417b3o$417bo$ 418bo2$414b2o$413b2o$415bo3$470b2o$393b2o74b2o$392b2o77bo$394bo5$427b 3o$427bo$428bo3$479b2o$438b2o38b2o$437b2o41bo$439bo2$442b2o$441b2o$ 443bo3$495b2o$490b2o2b2o$489b2o5bo$491bo10$517b2o$516b2o$518bo13$512b 3o$512bo$513bo3$434b3o93b2o$434bo94b2o4b2o$435bo95bo2b2o$536bo4$507b3o $507bo$508bo3$502b2o$501b2o$503bo5$463b2o$462b2o52b3o$464bo51bo$517bo 9$528b3o$528bo$529bo$521b2o$483b3o34b2o$483bo38bo$484bo3$488b2o$487b2o $489bo44b2o$482b2o49b2o10b2o6b3o$481b2o52bo8b2o7bo$483bo62bo7bo8$498b 2o$497b2o$499bo7b2o$506b2o$508bo48b3o$557bo7b3o$558bo6bo$566bo2$572b2o $571b2o$573bo2$519b2o$518b2o66b3o$520bo56b2o7bo$530b2o44b2o9bo$529b2o 47bo$531bo2$579b3o$579bo26b2o$580bo24b2o$607bo5$605b3o$605bo$554b2o50b o$553b2o$555bo6$618b3o$618bo$619bo6$621b3o$621bo$622bo$629b3o$629bo$ 567b2o61bo$566b2o$568bo55b3o$624bo$625bo3$566b2o$565b2o$567bo2$645b3o$ 645bo$646bo3b3o$650bo$651bo12$670b3o$670bo$671bo125$758b2o$758bobo$ 758bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME 6 THUMBNAIL THUMBSIZE 2 AUTOSTART X -375 Y -375 ZOOM 6 LOOP 5000 ]] #C [[ PAUSE 2 LINEAR ZOOM WIDTH 600 HEIGHT 600 ]] #C [[ T 500 ]] #C [[ T 1000 X -200 Y -200 Z -1 STEP 5 ]] #C [[ T 3000 X -350 Y -350 Z 4 LINEAR ZOOM ]] #C [[ T 3200 X -380 Y -380 Z 8 LINEAR ZOOM ]] #C [[ T 4000 X -425 Y -425 ]]<html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html>
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Slow salvo construction of a one-glider seed (click above to open LifeViewer)
RLE: here Plaintext: here

Uses

David Bell built a log(t) growth from four 2-engine Corderships,[9] and a 4-engine Cordership rake from two adjacent 2-engine Corderships,[10] both on January 3rd, 2018. 2718281828, Dave Greene and Chris Cain posted glider syntheses for this rake on January 7th, allowing for the construction of breeders.[11][12][13]

Bell further built two different period 96 c/12 forward rakes, one using the the 4-engine rake, along with the 2-engine Cordership and an older 3-engine block puffer,[14] the other using a new Cordership boat and block puffer, two 2-engine Corderships, and a sideways rake, both on January 6th, 2018.[14] He also built a different Cordership made from a two-engine boat puffer and a 2-engine Cordership that contains a glider which can escape if the boat is deleted by a sideways or forward glider.[14]

Chris Cain updated the infinite glider hotel to use the 2-engine Cordership on January 3rd, 2018.[15]

'Entity Valkyrie' built an 714×501 2-engine Cordership gun on January 6, 2018, using Luka Okanishi's 9-glider synthesis;[16] BlinkerSpawn noted that this gun could be compacted to 385×253 using the quadri-Snark.[17] Dave Greene built an unrelated period-556 2-engine Cordership gun on January 7th, 2018.[18][19] 'Entity Valkyrie' built a different gun using a boat keeper reaction on January 10, 2018.[20]

Aidan F. Pierce combined the 2-engine Cordership with an additional switch engine to obtain various puffers.[21]

Toward the end of 2018, Adam P. Goucher added a "0-degree" slow-salvo synthesis of a 2-engine Cordership to slmake, to allow more efficient long elbow pushes to be automatically compiled in self-constructing spaceship recipes.[22]

gollark: https://pastebin.com/ZfhJz6n4
gollark: Hold on.
gollark: Why don't you?
gollark: My prediction was based on predicted travel time of laser from current distance multiplied by current velocity.
gollark: https://cdn.discordapp.com/attachments/198130613759246337/542458356166819849/cNMlGWN.jpg

References
  1. Aidan F. Pierce (December 31, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Dave Greene (February 19, 2018). Re: Pattern of the Year 2017 -- votes (discussion thread) at the ConwayLife.com forums
  3. Dave Greene (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. gmc_nxtman (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. Dave Greene (December 31, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. Luka Okanishi (AbhpzTa) (December 31, 2017). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. Dave Greene (January 1, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. Dave Greene (March 10, 2018). Re: Thread For Synthesisable Spaceship Guns (discussion thread) at the ConwayLife.com forums
  9. David Bell (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  10. David Bell (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  11. 2718281828 (January 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  12. Dave Greene (January 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  13. Chris Cain (January 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  14. David Bell (January 6, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  15. Chris Cain (January 3, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  16. Entity Valkyrie (January 6, 2018). Guns Discussion Thread (discussion thread) at the ConwayLife.com forums
  17. BlinkerSpawn (January 6, 2018). Re: Guns Discussion Thread (discussion thread) at the ConwayLife.com forums
  18. Dave Greene (January 7, 2018). Re: Guns Discussion Thread (discussion thread) at the ConwayLife.com forums
  19. Dave Greene (January 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  20. Entity Valkyrie (January 10, 2018). Re: Small Spaceship Syntheses (discussion thread) at the ConwayLife.com forums
  21. Aidan F. Pierce (January 7, 2018). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  22. Adam P. Goucher (September 23, 2018). Re: Slow-salvo recipes (discussion thread) at the ConwayLife.com forums
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