Sir Robin

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Sir Robin
#N Sir Robin #O Adam P. Goucher, Tom Rokicki; 2018 #C The first elementary knightship to be found in Conway's Game of Life. #C http://conwaylife.com/wiki/282P6H2V1 x = 31, y = 79, rule = B3/S23 4b2o$4bo2bo$4bo3bo$6b3o$2b2o6b4o$2bob2o4b4o$bo4bo6b3o$2b4o4b2o3bo$o9b 2o$bo3bo$6b3o2b2o2bo$2b2o7bo4bo$13bob2o$10b2o6bo$11b2ob3obo$10b2o3bo2b o$10bobo2b2o$10bo2bobobo$10b3o6bo$11bobobo3bo$14b2obobo$11bo6b3o2$11bo 9bo$11bo3bo6bo$12bo5b5o$12b3o$16b2o$13b3o2bo$11bob3obo$10bo3bo2bo$11bo 4b2ob3o$13b4obo4b2o$13bob4o4b2o$19bo$20bo2b2o$20b2o$21b5o$25b2o$19b3o 6bo$20bobo3bobo$19bo3bo3bo$19bo3b2o$18bo6bob3o$19b2o3bo3b2o$20b4o2bo2b o$22b2o3bo$21bo$21b2obo$20bo$19b5o$19bo4bo$18b3ob3o$18bob5o$18bo$20bo$ 16bo4b4o$20b4ob2o$17b3o4bo$24bobo$28bo$24bo2b2o$25b3o$22b2o$21b3o5bo$ 24b2o2bobo$21bo2b3obobo$22b2obo2bo$24bobo2b2o$26b2o$22b3o4bo$22b3o4bo$ 23b2o3b3o$24b2ob2o$25b2o$25bo2$24b2o$26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ TRACKLOOP 6 -1/6 -1/3 THUMBSIZE 2 HEIGHT 480 ZOOM 4 GPS 12 ]]
Pattern type Spaceship
Number of cells 282
Bounding box 31×79
Direction Oblique
Slope 2
Period 6
Mod 6
Speed (2,1)c/6
Speed (unsimplified) (2,1)c/6
Heat 271
Discovered by Adam P. Goucher
Tomas Rokicki
Year of discovery 2018

Sir Robin[note 1] is a (2,1)c/6 spaceship found by Adam P. Goucher on March 6, 2018 using his ikpx search program.

Sir Robin is also known by its systematic name 282P6H2V1, and is alternatively called seahorse or Minstrel 0 / M0 (see Tagalongs below). It is based on a partial found by Tomas Rokicki, which makes up about 62% of the ship,[1] and roughly half of which was itself an independent rediscovery of a partial found by Josh Ball in April 2017.[2] Sir Robin is the first elementary knightship in Conway's Game of Life. A scientific paper describing the method used to find the ship is forthcoming.[3]

Sir Robin was voted on the ConwayLife.com forums as Pattern of the Year 2018.[4]

Partials

Josh Ball's original partial from April 2017 is shown below:

#O Josh Ball, April 2017 #C Knightship partial, later independently rediscovered in extended form by Tom Rokicki #C and developed into a true elementary knightship, Sir Robin, by Adam P. Goucher. #C http://conwaylife.com/wiki/Partial_result #C http://conwaylife.com/wiki/Sir_Robin x = 26, y = 31, rule = B3/S23 4b3o$3bo2b2o$3bo4bo2$3b3o3b2ob3o$b2obobo4bob2o$3bo2bo4bo2b2o$o2bo8bo$o 4bo2b2o2bo2bo$bob3o2b2o3b2o$3b2obob2obo3bo$9b2ob3o$9bo5bo$12b3o2b3o$ 15bob2o$10b2obo3b3o$10b2o2bo2b2o$12b4o3bo$13b2obo2bo$11b2obobobo$14bo$ 11bo7b2o$12b2o5b2o$14b2obo$16b3o2bobo$16b2o3bo$17bo$18b5obo$19b2o2b3o$ 19b2o4bo$23b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 THUMBSIZE 2 WIDTH 640 HEIGHT 560 GPS 6 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Synthesis

No glider synthesis for Sir Robin exists as of July 2019; finding a synthesis is considered a challenging task at best, due to the large size of the ship, and the amount of space dust it contains. A fake 87-glider synthesis (actually a clever LifeViewer loop) was posted by Dave Greene on April Fools' Day 2018.[5]

Reactions

Martin Grant constructed a Sir Robin eater with a repeat time of 557 on March 8, 2018:[6]

#N Sir Robin eater #O Martin Grant; March 2018 #C Eater for Sir Robin (but not his minstrels), repeat time 557. #C http://conwaylife.com/wiki/Sir_Robin #C http://www.conwaylife.com/forums/viewtopic.php?p=57499#p57499 x = 176, y = 354, rule = B3/S23 67b2o$67bobo$69bo4b2o$44b2o19b4ob2o2bo2bo$44bobo18bo2bobobobob2o$46bo 4b2o15bobobobo$42b4ob2o2bo2bo14b2obobo$42bo2bobobobob2o18bo$45bobobobo $46b2obobo7b2o$50bo9bo7b2o$60bobo5b2o$36b2o23b2o$37bo7b2o$37bobo5b2o$ 38b2o$27b2o$26bo2bo3b2o$26bobo3bobo$27bob4obob2o33b2o22bo$29bo4bo2bo 33bo3bo17b3o$28bo3b2obo36b4o16bo$27bo3bobob2o11b2o42b2o$27b2o3bo15bo 21b4o$49b3o17bo3bo$21b2o28bo17b2o29b2o$22bo78bo$22bobo76bob2o$23b2o52b 2o14b2o4b3o2bo$78bo14b2o3bo3b2o$78bob2o16b4o$70b2o4b3o2bo2b2o15bo$70b 2o3bo3bobobobo12b3o$75b4o2bobo13bo$61b2o15bobo2bo14b5o$60bobo12b3o2bob o19bo$60bo13bo5b2o18bo$59b2o14b5o20b2o$79bo$77bo$77b2o9$63bo$63b3o$66b o$65b2o2$24b2o$23bobo$23bo$22b2o2$75b2o$68b2o5bobo$58b2o8b2o7bo$58bo 18b2o$56bobo$56b2o6bo$63bobob2o$63bobobobo$60b2obobobobo2bo$60bo2bo2b 2ob4o$62b2o4bo$68bobo$69b2o4$9bo$9b3o$12bo$11b2o14b2o$26bobo$26bo$3b2o 20b2o$3bo$2obo$o2b3o4b2o$b2o3bo3b2o$3b4o$3bo15b2o$4b3o12bobo$7bo13bo 34b2o$2b5o14b2o33bo2bo$2bo53bo3bo$4bo53b3o$3b2o28b2o19b2o6b4o$33b2o19b ob2o4b4o$53bo4bo6b3o$54b4o4b2o3bo$52bo9b2o$53bo3bo$35bo22b3o2b2o2bo$ 33b3o18b2o7bo4bo$32bo32bob2o$32b2o28b2o6bo$63b2ob3obo$62b2o3bo2bo$62bo bo2b2o$62bo2bobobo$62b3o6bo$63bobobo3bo$22b2o42b2obobo$21bobo5b2o32bo 6b3o$21bo7b2o$20b2o41bo9bo$63bo3bo6bo$34bo29bo5b5o$30b2obobo28b3o$29bo bobobo32b2o$26bo2bobobobob2o26b3o2bo$26b4ob2o2bo2bo24bob3obo$30bo4b2o 25bo3bo2bo$28bobo32bo4b2ob3o$28b2o35b4obo4b2o$65bob4o4b2o$71bo$72bo2b 2o$72b2o$73b5o$77b2o$71b3o6bo$72bobo3bobo$71bo3bo3bo$71bo3b2o$70bo6bob 3o$71b2o3bo3b2o$72b4o2bo2bo$74b2o3bo$73bo$73b2obo$72bo$71b5o$71bo4bo$ 70b3ob3o$70bob5o$70bo$72bo$68bo4b4o$72b4ob2o$69b3o4bo$76bobo$80bo$76bo 2b2o$77b3o$74b2o$73b3o5bo$76b2o2bobo$73bo2b3obobo$74b2obo2bo$76bobo2b 2o$78b2o$74b3o4bo$74b3o4bo$75b2o3b3o$76b2ob2o$77b2o$77bo2$76b2o$78bo 108$149b2o$148b2o$150b2obo$148bo3b3ob2o$147b6ob2o2bo$146b2ob2o4bo$146b o4bo6bobo$146b5o4b3o2bo$146b3obo4b2o$151b2o2bobo$147bo3b2o3b2o$152bo3b o2bobo$155b3o2b3o$155b2obo$157bob3ob2o$155bo2bo$154b2obo2bobo$154b2o2b 3o$155bo2bo2bobo$155b2obob2o2b2o$157bob3o$163b3o$164b2o2$156b2o6bo2bo$ 156b2obo4b4o$157b2o3b5o$157bo3b2o$157b2o4bo$157bo4b2o$155b5o2bo2bo$ 158bo5b2o$157b2o6bob3o$158bo4b2o3b2o$161b4o$164b3o$165bo4bo$165b7o$ 168bob2o$164b3o3b2o$167bo5bo$164b2ob3o2bo$163b2o3b2ob2o$163bobo2bobobo bo$164b2ob5o3bo$164b2o3bo2bobo$165bo2bo$166bo$165b3o$164bo$164bob3o$ 169bo$163bo6bo$162b2obo3bo$165bob2o$166b3o$169b2o$162b4o4bo$163b5obobo $163bo6bo$170bo2bo$170bo2bo$168b6o$166bob2obo$166bo7bo$166bo4b3obo$ 167bo3bobo$167b2o4bobo$168b2obob2o$169bob5o$167bob2o2bo$170bo$167bo4bo 2bo$168bo3b2o$172bo$170b2o$169b2o$170bo$170bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Tagalongs

Tagalongs of Sir Robin are dubbed minstrels[note 2]. There are many ways in which Sir Robin can be extended by attaching minstrels:

x = 798, y = 202, rule = B3/S23 3b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o 37b3o37b3o37bo39bo39b3o$3bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo 2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo39bo 39bo36bo2bo$3bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob 2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob 2o33bob2ob2o33bob2ob2o33bob2ob2o38b2o38b2o33bob2ob2o$2b2o7b2o29b2o7b2o 29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b 2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29bo8b2o29bo8b 2o29b2o7b2o$bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo 28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo 28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo39bo39bo5bo4bo$bo5bob2o3bo26bo5bob2o 3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo 26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo 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636bo27bo3bo120bob2o$633b2obo30b2o121b2ob2o$635b2obo26b2o123b2o2bo$ 635bo2bo151bo$637b3o147b2o2bo2bo$634b3o149b2o3bo2bo$633bobo150b2o5b3o$ 633bo153b3obo2b2o$788bo$634bo2bo150bo2b3o$634b3o152bo2bo$637b2o$632b3o b2o155b2o$635b3o155b2o$631bo3b2o155b2obo$632bobo$792b2o2b2o$792bobo$ 792bo2b2o$796bo$793b2obo$795bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ X -23 Y -43 TRACKLOOP 6000 -1/6 -2/6 LABELANGLE 70 AUTOSTART GPS 6 ]] #C [[ LABEL -5 -40 1 "Minstrel 0\n(Sir Robin)" ]] #C [[ COLOR LABEL Red LABEL 30 -40 1 "Minstrel 1" ]] #C [[ COLOR LABEL Orange LABEL 70 -40 1 "Minstrel 2" ]] #C [[ COLOR LABEL Yellow LABEL 110 -40 1 "Minstrel 3" ]] #C [[ COLOR LABEL Green LABEL 150 -40 1 "Minstrel 4" ]] #C [[ COLOR LABEL Blue LABEL 190 -40 1 "Minstrel 5" ]] #C [[ COLOR LABEL Brown LABEL 240 -40 1 "Minstrel 6" ]] #C [[ COLOR LABEL Purple LABEL 280 -40 1 "Minstrel 7" ]] #C [[ COLOR LABEL Pink LABEL 320 -40 1 "Minstrel 8" ]] #C [[ COLOR LABEL Violet LABEL 360 -40 1 "Minstrel 9" ]] #C [[ COLOR LABEL Gray LABEL 400 -40 1 "Minstrel 10" ]] #C [[ COLOR LABEL Cyan LABEL 440 -40 1 "Minstrel 11" ]] #C [[ COLOR LABEL Magenta LABEL 480 -40 1 "Minstrel 12" ]] #C [[ COLOR LABEL Beige LABEL 520 -40 1 "Minstrel 13" ]] #C [[ COLOR LABEL Maroon LABEL 560 -40 1 "Minstrel 14" ]] #C [[ COLOR LABEL Silver LABEL 600 -40 1 "Minstrel 15" ]] #C [[ COLOR LABEL Chartreuse LABEL 720 -40 1 "Minstrel 18" ]] #C [[ LABELANGLE 0 LABELALPHA .75 LABELSIZE 32 COLOR LABEL SpringGreen ]] #C [[ LABEL 20 35 3 "M0" ]] #C [[ LABEL 60 35 3 "M0" ]] #C [[ LABEL 100 35 3 "M0" ]] #C [[ LABEL 140 35 3 "M0" ]] #C [[ LABEL 180 35 3 "M0" ]] #C [[ LABEL 220 35 3 "M0" ]] #C [[ LABEL 260 35 3 "M0" ]] #C [[ LABEL 300 35 3 "M0" ]] #C [[ LABEL 340 35 3 "M0" ]] #C [[ LABEL 380 35 3 "M0" ]] #C [[ LABEL 420 35 3 "M0" ]] #C [[ LABEL 460 35 3 "M0" ]] #C [[ LABEL 500 35 3 "M0" ]] #C [[ LABEL 540 35 3 "M0" ]] #C [[ LABEL 580 35 3 "M0" ]] #C [[ LABEL 620 35 3 "M0" ]] #C [[ LABEL 740 35 3 "M0" ]] #C [[ COLOR LABEL Red LABELSIZE 24 LABELALPHA .5 ]] #C [[ LABEL 73 84 3.5 "errant\nminstrel" ]] #C [[ LABEL 206 109 3.5 "errant\nminstrel" ]] #C [[ LABEL 335 129 3.5 "errant\nminstrel" ]] #C [[ LABEL 513 84 3.5 "errant\nminstrel" ]] #C [[ LABEL 646 109 3.5 "errant\nminstrel" ]] #C [[ LABEL 775 129 3.5 "errant\nminstrel" ]] #C [[ COLOR LABEL SkyBlue LABELSIZE 24 LABELALPHA .6 ]] #C [[ LABEL 113 82 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 275 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 315 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 355 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 395 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 555 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 595 85 3.5 "lightweight\nminstrel" ]] #C [[ LABEL 755 85 3.5 "lightweight\nminstrel" ]] #C [[ COLOR LABEL LawnGreen LABELSIZE 24 LABELALPHA .45 ]] #C [[ LABEL 153 82 3.5 "heavyweight\nminstrel" ]] #C [[ LABEL 193 82 3.5 "heavyweight\nminstrel" ]] #C [[ LABEL 233 82 3.5 "heavyweight\nminstrel" ]] #C [[ LABEL 435 85 3.5 "heavyweight\nminstrel" ]] #C [[ LABEL 475 85 3.5 "heavyweight\nminstrel" ]] #C [[ LABEL 635 85 3.5 "heavyweight\nminstrel" ]] #C [[ COLOR LABEL Gold LABELSIZE 24 LABELALPHA .55 ]] #C [[ LABEL 285 110 3.5 "ragged\nminstrel" ]] #C [[ LABEL 325 110 3.5 "ragged\nminstrel" ]] #C [[ LABEL 365 110 3.5 "ragged\nminstrel" ]] #C [[ LABEL 405 110 3.5 "ragged\nminstrel" ]] #C [[ LABEL 565 110 3.5 "ragged\nminstrel" ]] #C [[ LABEL 605 105 3.5 "ragged\nminstrel" ]] #C [[ LABEL 765 110 3.5 "ragged\nminstrel" ]] #C [[ COLOR LABEL Magenta LABELSIZE 20 LABELALPHA .65 ]] #C [[ LABEL 247 115 3.5 "wandering\nminstrel" ]] #C [[ LABEL 378 135 3.5 "wandering\nminstrel" ]] #C [[ LABEL 486 102 3.5 "wandering\nminstrel" ]] #C [[ LABEL 615 123 3.5 "wandering\nminstrel" ]] #C [[ COLOR LABEL Silver LABELSIZE 20 LABELALPHA .70 ]] #C [[ LABEL 411 134 3.5 "featherweight\nminstrel" ]] #C [[ COLOR LABEL Bisque LABELSIZE 20 LABELALPHA .70 ]] #C [[ LABEL 445 110 3.5 "pi\nminstrel" ]] #C [[ LABEL 575 129 3.5 "pi\nminstrel" ]] #C [[ COLOR LABEL Blue LABELSIZE 20 LABELALPHA .60 ]] #C [[ LABEL 500 140 3.5 "connecting\nminstrel" ]] #C [[ LABEL 630 160 3.5 "connecting\nminstrel" ]] #C [[ COLOR LABEL Violet LABELSIZE 20 LABELALPHA .60 ]] #C [[ LABEL 520 120 3.5 "fountain\nminstrel" ]] #C [[ LABEL 650 140 3.5 "fountain\nminstrel" ]] #C [[ LABEL 780 160 3.5 "fountain\nminstrel" ]] #C [[ WIDTH 1700 HEIGHT 580 POPUPWIDTH 1700 POPUPHEIGHT 580 ZOOM 2 THUMBSIZE 2 AUTOSTART ]]
In order to expand and view annotations: (click above to open LifeViewer)
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The complete spaceships are named Minstrel 0 (Sir Robin) through to Minstrel 15 and Minstrel 18, agreeing with order of discovery up to Minstrel 10 and departing slightly thereafter. The elementary components are given the following names:

  • Sir Robin := Minstrel 0
  • Errant minstrel := Minstrel 1 - Minstrel 0
  • Lightweight minstrel := Minstrel 2 - Minstrel 0
  • Heavyweight minstrel := Minstrel 3 - Minstrel 0
  • Wandering minstrel := Minstrel 5 - Minstrel 3
  • Ragged minstrel := Minstrel 6 - Minstrel 2
  • Featherweight minstrel := Minstrel 9 - Minstrel 6
  • Pi minstrel := Minstrel 10 - Minstrel 3
  • Connecting minstrel := Minstrel 11 - Minstrel 5
  • Fountain minstrel := Minstrel 12 - Minstrel 1

Several of these "elementary minstrels" are not technically true tagalongs, because they slightly modify the trailing sparks on the spaceship to which they attach.

History

The first tagalong, Minstrel 1, was discovered by Adam P. Goucher on July 15, 2018, after resuming the original ikpx search.[7]

Dave Greene modified Martin Grant's Sir Robin eater to act as a Minstrel 1 detector the same day, which removes the errant minstrel to yield the original Sir Robin.[8]

On July 19, 2018, Adam P. Goucher found a second and third minstrel, dubbed Minstrel 2 and Minstrel 3, that follow Sir Robin more closely. The lightweight and heavyweight minstrels are not true tagalongs because they change the evolution of the Sir Robin itself.[9]

On July 20, 2018, Goldtiger997 built a stable circuit that can accept any of Minstrel 0 through to Minstrel 3,[10] emitting a glider in one of four directions (depending on the input spaceship) along with an unadorned Sir Robin travelling along the original path. When the original input is a Sir Robin, this circuit is a Heisenburp; otherwise, it is a downconverter. The circuit was later optimised by including a bend in the 2c/3 signal wire, among other bounding-box reductions.

On Christmas Day in 2018, Entity Valkyrie discovered that the heavyweight and errant can be composed, yielding Minstrel 4[11]. Two days later, Goldtiger997 updated the previous minstrel remover/detector to accept any of the known tagalongs including the composite Minstrel 4.[12]

On December 31, 2018, Adam P. Goucher resumed the ikpx search and another Minstrel 3 tagalong was found, dubbed Minstrel 5. Again, Goldtiger997's minstrel remover/detector was updated to accept the newest spaceship.

The following month a further tagalong, Minstrel 6, was discovered by the ikpx search program, and was added to existing components to produce two new spaceships, Minstrels 7 and 8. Minstrel 9 followed shortly after, on the 18th January, and another "pi minstrel" tagalong was discovered on the 21st of January which created Minstrels 10 and 13. A longer tagalong discovered in early February produced Minstrels 11 and 14 in the same way, and also enabled much simpler branching knightships. The following day a tagalong to the errant minstrel was discovered, yielding Minstrels 12, 15, and 18.

Minstrel arithmetic

Due to increasingly large liberties taken with the initial chronological numbering (beginning with the dicovery of minstrel 13), the relationships between these spaceships can be encapsulated by 'minstrel arithmetic': the observation that integer 'weights' can be assigned to Sir Robin and its indecomposable tagalongs such that the sum of the weights of the components of Minstrel n is exactly n:

  • Sir Robin: 0
  • Errant minstrel: 1
  • Lightweight minstrel: 2
  • Heavyweight minstrel: 3
  • Wandering minstrel: 2
  • Ragged minstrel: 4
  • Featherweight minstrel: 3
  • Pi minstrel: 7
  • Connecting minstrel: 6
  • Fountain minstrel: 11

In particular, we have:

  • Minstrel 0 = 0 (Sir Robin)
  • Minstrel 1 = 0 + 1 (Sir Robin + errant minstrel)
  • Minstrel 2 = 0 + 2 (Sir Robin + lightweight minstrel)
  • Minstrel 3 = 0 + 3 (Sir Robin + heavyweight minstrel)
  • Minstrel 4 = 0 + 3 + 1 (Sir Robin + heavyweight minstrel + errant minstrel)
  • Minstrel 5 = 0 + 3 + 2 (Sir Robin + heavyweight minstrel + wandering minstrel)
  • Minstrel 6 = 0 + 2 + 4 (Sir Robin + lightweight minstrel + ragged minstrel)
  • Minstrel 7 = 0 + 2 + 4 + 1 (Sir Robin + lightweight minstrel + ragged minstrel + errant minstrel)
  • Minstrel 8 = 0 + 2 + 4 + 2 (Sir Robin + lightweight minstrel + ragged minstrel + wandering minstrel)
  • Minstrel 9 = 0 + 2 + 4 + 3 (Sir Robin + lightweight minstrel + ragged minstrel + featherweight minstrel)
  • Minstrel 10 = 0 + 3 + 7 (Sir Robin + heavyweight minstrel + pi minstrel)
  • Minstrel 11 = 0 + 3 + 2 + 6 (Sir Robin + heavyweight minstrel + wandering minstrel + connecting minstrel)
  • Minstrel 12 = 0 + 1 + 11 (Sir Robin + errant minstrel + fountain minstrel)
  • Minstrel 13 = 0 + 2 + 4 + 7 (Sir Robin + lightweight minstrel + ragged minstrel + pi minstrel)
  • Minstrel 14 = 0 + 2 + 4 + 2 + 6 (Sir Robin + lightweight minstrel + ragged minstrel + wandering minstrel + connecting minstrel)
  • Minstrel 15 = 0 + 3 + 1 + 11 (Sir Robin + heavyweight minstrel + errant minstrel + fountain minstrel)
  • Minstrel 18 = 0 + 2 + 4 + 1 + 11 (Sir Robin + lightweight minstrel + ragged minstrel + errant minstrel + fountain minstrel)

Other spaceships

The lightweight minstrel is also capable of supporting both ends of knightwave, as noted by Matthias Merzenich. The heavyweight minstrel can support the left end in the same manner.[13]

#C All known (2,1)c/6 technology in existence as of 30 January 2019 #C Knightwave rediscovered by Kiho Park, original discoverer unknown #C Components by Adam P. Goucher. Additional connections by Dave #C Greene, Matthias Merzenich, Entity Valkyrie, and Hdjensofjfnen. x = 123, y = 195, rule = B3/S23 73bo$72b4o$71bo2b2o$75bo$71bo5bo3bo$70b4o4b3obo$70bo3bo4bo$69bob3o5bo 2b2o$72bo6b5o$68b4obo2b2o2bobo$70b2o2bo5b4o$70b2o3bo3bo3bo$79b5o$77b3o 3bo2bo$81b3obobo$79bo$78b3obo4bo$78bo4b3o$79b2o3b2obo$79bo4b4o$80bobo 2bo$79b3obo3bo$80b2o5b2o$80b3o3b2obo$80b3o3b2o2bo$80bo2bo3bob2o$81bo$ 81bo3bo$84b2o$79b3ob3o$79b2obo$79b2o3bo3bo$81b4obob2obo$81bo3b2ob5o$ 89bo$88b2ob2o$48b2o39b3o$47b2o43bo$49b2obo35bo4b2o$47bo3b3ob2o31bo5b3o $46b6ob2o2bo30bo5b3o$45b2ob2o4bo34b3o$45bo4bo6bobo27b5o$45b5o4b3o2bo 27bo5bob2o$45b3obo4b2o30bob2ob4ob2o$50b2o2bobo37bo$46bo3b2o3b2o32bo2bo 2b2o$51bo3bo2bobo29b2o$54b3o2b3o28b3o$33b2o19b2obo30bo$32b2o22bob3ob2o 24b5o$34b2obo16bo2bo29bo$32bo3b3ob2o11b2obo2bobo25b2ob2o$31b6ob2o2bo 10b2o2b3o26bo4b2o$30b2ob2o4bo14bo2bo2bobo23bobo$30bo4bo6bobo9b2obob2o 2b2o20b2o$30b5o4b3o2bo11bob3o24b2ob3ob2o$30b3obo4b2o21b3o20b2o4bo3bo$ 35b2o2bobo21b2o21b2o5bo2bo$31bo3b2o3b2o50bo$36bo3bo2bobo9b2o6bo2bo26b 2o2bo$39b3o2b3o8b2obo4b4o25b5o$39b2obo13b2o3b5o24bo$41bob3ob2o7bo3b2o$ 39bo2bo13b2o4bo27b2o$38b2obo2bobo9bo4b2o26b2o5b3o$38b2o2b3o9b5o2bo2bo 24b2ob3o2b2o$39bo2bo2bobo9bo5b2o26bobo$39b2obob2o2b2o6b2o6bob3o26bob2o $41bob3o11bo4b2o3b2o22bo3bob2o$47b3o10b4o27bo3bobo$48b2o13b3o25bo5bo$ 64bo4bo21bo3bob2o$40b2o6bo2bo12b7o21bo$40b2obo4b4o15bob2o22b3o$41b2o3b 5o12b3o3b2o$41bo3b2o19bo5bo20bo$41b2o4bo15b2ob3o2bo21bo4bo$41bo4b2o14b 2o3b2ob2o21bob2ob2o$39b5o2bo2bo12bobo2bobobobo25b2o$42bo5b2o13b2ob5o3b o22b2obobo$41b2o6bob3o9b2o3bo2bobo24b2o3bo$42bo4b2o3b2o10bo2bo30bo3b2o $4bo40b4o16bo36bo$3b3o42b3o13b3o33bo3bo$2b2o2b2o41bo4bo8bo36bo3bo$3bob 3o41b7o7bob3o36b2o$2b3ob3o2b2o39bob2o12bo32b2o2b3o$bo6bobob2o34b3o3b2o 6bo6bo31bo2bobo$2o4b5o40bo5bo3b2obo3bo32bo$2o3b3o2bo3b2o32b2ob3o2bo7bo b2o33bo7bo$2o3b2o2b2o36b2o3b2ob2o8b3o34b3o3bo$3o2bo3b2o2bo33bobo2bobob ob2o8b2o33b2o4bob2o$2bobobobobob2o34b2ob5o5b4o4bo34b3o3b2obo$8b2o2b2o 34b2o3bo2bobo3b5obobo31bo2bo5bobo$7bo9bo31bo2bo9bo6bo33b2o$12b2obo2bo 31bo18bo2bo35b2o$11b2o4bo31b3o17bo2bo33bobo$10bobobo2b2o29bo18b6o32bo$ 9b2obo4bo30bob3o12bob2obo37bo$15bo2bo34bo11bo7bo34bo$12b2obob2o28bo6bo 10bo4b3obo27b2o4bo3bo$11bobo2b2o28b2obo3bo12bo3bobo29bo4bo3b3o$10b2o3b o3bo29bob2o13b2o4bobo25bo3b2o$10b2ob6o31b3o14b2obob2o23b2o3bo8bo3bo$ 12b5obo34b2o13bob5o22bo16b3o$18bob2o24b4o4bo11bob2o2bo22bo3b2o10bo6bo$ 12bo5bob2o25b5obobo13bo22b2o3bo13bo2bo3bo$12bo6b3o25bo6bo11bo4bo2bo17b o18bo3b2obo$12bo8b3o30bo2bo9bo3b2o17bo3b2o19b2o$16b2o3bo32bo2bo13bo15b 2o3bo19b2ob2o$11bo3b2o35b6o11b2o16bo27b2o$11b3ob2obo31bob2obo12b2o4bo 10bo3b2o20b2o2b2o$11bo2b3o2bo30bo7bo10bo3bobo6b2o3bo21b2ob2o$17bo2bo 29bo4b3obo9bo2bo3b2o4bo26b2o$12bobo3bo3b2o27bo3bobo14bobo5bo3b2o24bobo $12bobo7bobo26b2o4bobo19bo2bo28b3o$12bobo4b2obo29b2obob2o15b2obo33bo2b o$21bo31bob5o16bo3bo31b2o2bo$51bob2o2bo18b2o33bo3bob2o$20bo2b2o29bo22b ob2o31bo2bo$20b2obo2bo24bo4bo2bo53b6o$19bo5bobo24bo3b2o19bo$20b3o5bo 27bo22b2ob2o$54b2o23bo2b2o$18b3obobo3bo24b2o62bobo$17b2o6bo28bo21bo2bo 5bo30b2ob3o$17b2ob3o3b2obo24bo22b2o5b4o27bobo$19bo2bo3b2obo49bo4b2ob2o 25b3o4bo$19b2obo91bo6b2o$20b2o59bo33bo4bo$19bo2bo60b4o34b2o$20b3o60bob o$19bo3bo58bo2bo$21bo61bo$18b2ob2o2bo57bo$17bobo5bo57bobo2bo$17bo5bo 53b3o3bob3obo$18b7o52bo2bo5bo2bo$18bo6bo51bobo7bob3o$18b4ob3o46b3o15bo bo$18b2o6bo45bo2bo13bo3bo$20b5ob2o44bobo12bob2o2b2o$20b2obo3bo39b3o17b ob6o$24bob2o39bo2bo17b2obo$23b3ob3o37bobo$22b2o4bo33b3o23bo$21bob4obo 33bo2bo20b2obobobo$20b2o3b2ob2o32bobo21bo4b2o$23bo2bobo28b3o26bo4bo$ 24bobob2o27bo2bo24b2o3bo$24bobo30bobo25b2o3bo$24bob2o24b3o30b2o2b2o$ 24bo2bo24bo2bo30b2o4bo$23bo2b2o24bobo31b2o5bo$23bo2bobo18b3o37bo5bo$ 24bo3bo18bo2bo42bo$29bo17bobo38bo4bo$28bo13b3o44bo3bo4bo$24b4o14bo2bo 45b2o3b2o$24bo4b2o11bobo52bo2bo$25bo6bo4b3o58b3o$28bo3bo4bo2bo57b3o$ 28bo3bo4bobo63b2o$29bob2o64b3o4b2o$31b2o63b3ob2o2bobo$31bo2b2o59b2o4bo bo$32bo2bo61bo$32bo67bo$34bo63b3o$34bob3o$34bo4bo60bo$34bo4bo59b3o$34b 7o57bob2o$33bobo61b2o2b2o$35bo4b5o52b2o$33b3o7b2o52bobo$40b2o54bob2o$ 39b4o53bob2ob3o$38bo2b2o53bo4bobo$37bo58b2o2b3o$37bo60bob2o$37bo2bo$ 37bo$37bo2bo$37bo5bo$38b2o2bobo$45bo$45b2o$43bobo$44bob2o$45b3ob2o$45b o5bo$46b2o2bo$47b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ TRACKLOOP 6 -1/6 -1/3 THUMBSIZE 2 WIDTH 600 HEIGHT 800 ZOOM 4 GPS 6 AUTOSTART ]] #C [[ LABELALPHA .75 LABELANGLE 70 LABELSIZE 32 COLOR LABEL SpringGreen ]] #C [[ LABEL 75 35 6 "Sir Robin" ]] #C [[ LABEL 53 68 6 "Two Sir Robins" ]] #C [[ LABEL 5 115 6 "Sir Robin" ]] #C [[ LABELANGLE 331 COLOR LABEL Orange ]] #C [[ LABEL 55 145 6 "knightwave" ]] #C [[ LABEL 91 104 6 "knightwave" ]] #C [[ LABELANGLE 0 COLOR LABEL Red ]] #C [[ LABEL 100 170 6 "errant\nminstrel" ]] #C [[ COLOR LABEL SkyBlue ]] #C [[ LABEL 105 85 6 "lightweight\nminstrel" ]] #C [[ LABEL 75 120 6 "lightweight\nminstrel" ]] #C [[ COLOR LABEL LawnGreen ]] #C [[ LABEL 38 175 6 "heavyweight\nminstrel" ]] #C [[ COLOR LABEL Yellow ]] #C [[ LABEL 90 145 6 "ragged\nminstrel" ]] #C [[ LABEL 114 110 6 "ragged\nminstrel" ]] #C [[ COLOR LABEL Magenta ]] #C [[ LABEL 46 188 6 "wandering\nminstrel" ]] #C [[ COLOR LABEL Cyan ]] #C [[ LABEL 115 125 6 "featherweight\nminstrel" ]]
Knightwave supported between Minstrel 9 (upper right),
Minstrel 7 (center), and Minstrel 5 (lower left)
(click above to open LifeViewer)
RLE: here Plaintext: here

If direct connections to the left and right sides of Sir Robin spaceships are included, (2,1)c/6 technology now allows branching spaceships, since it is possible to make connections in three directions from a single spaceship. The known direct connection between two Sir Robin spaceships makes a slightly steeper angle than a knightwave -- (15, -13) instead of (5, -3). This means that any added branch on the left side (as in the example shown above) runs out of space after six direct connections have been made. However, direct-connection branches on the right eventually allow additional three-way branch points to be connected.[14] The "connecting minstrel" enables another type of branching-spaceship connection with much more clearance.[15]

Thus every known (2,1)c/6 spaceship is either:

  • Minstrel n (for some n between 0 and 15, as well as 18), or
  • A sequence of two or more spaceships, each of the above form, with adjacent spaceships joined by one of three types of connections:
  1. a horizontal segment of knightwave containing any sufficiently large number of repeating components (where 'sufficiently large' is such that the two knightships do not interact, i.e. 3 units), or
  2. a direct diagonal connection between two Sir Robin spaceships, changing the position of one cell along the connected edge for a single tick (compare the right edges of the two directly connected Sir Robins at T=0 in the example above), or
  3. a connection between the tail of Minstrel 14 and the direct-connection point on any Minstrel 0 to 15 (or 18), or
  • a branching spaceship consisting of multiple connected sequences as described above.

The leftmost spaceship in a knightwave sequence must contain either a lightweight or heavyweight minstrel, and the remaining spaceships must all contain lightweight minstrels.

Notes

  1. The name is in reference to Sir Robin, the knight who "bravely ran away", from Monty Python's movie Monty Python and the Holy Grail.
  2. "Minstrel", like "Sir Robin", is a reference to Monty Python's movie Monty Python and the Holy Grail.

References

  1. Adam P. Goucher (2018-03-06). Elementary knightship (discussion thread) at the ConwayLife.com forums
  2. Josh Ball (2017-04-08). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Adam P. Goucher (2018-03-07). Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  4. Oscar Cunningham (January 23, 2019). Re: Pattern of the Year 2018 competition: Voting (discussion thread) at the ConwayLife.com forums
  5. Dave Greene (April 1, 2018). Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  6. Martin Grant (2018-03-08). Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  7. Adam P. Goucher (2018-07-15). Minstrel (discussion thread) at the ConwayLife.com forums
  8. Dave Greene (2018-07-15). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  9. Adam P. Goucher (2018-07-19). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  10. Goldtiger997 (2018-12-27). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  11. Entity Valkyrie (2018-12-27). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  12. Goldtiger997 (2018-12-27). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  13. PHPBB12345 (2018-12-27). Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  14. Dave Greene (2019-01-30). Re: Minstrel (discussion thread) at the ConwayLife.com forums
  15. Dave Greene (2019-01-31). Re: Minstrel (discussion thread) at the ConwayLife.com forums

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