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 [[ 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] (also known by its systematic name 282P6H2V1, and alternatively called seahorse) is a (2,1)c/6 spaceship found by Adam P. Goucher on March 6, 2018 using his ikpx search program. It is based on a partial found by Tomas Rokicki, which makes up about 62% of the ship,[1] and which was itself an independent rediscovery of roughly half of a partial found by Josh Ball in April 2017.[2] Sir Robin is the first elementary knightship in Conway's Game of Life. Sir Robin can also be considered the "Minstrel 0".

A scientific paper describing the method used to find the ship is forthcoming.[3]

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 [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 THUMBSIZE 2 WIDTH 640 HEIGHT 560 GPS 6 ]]
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Synthesis

No glider synthesis for Sir Robin exists as of March 10, 2018; 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.

Reactions

Martin Grant constructed a Sir Robin eater with a repeat time of 557 on March 8, 2018:[4]

#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 [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
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Tagalongs

Tagalongs and other extensions of Sir Robin are dubbed minstrels[note 2]. There are nine known ways in which Sir Robin can be extended by attaching minstrels:

x = 415, y = 146, rule = B3/S23 3b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o$3bo2bo36bo2bo36bo2bo 36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo36bo2bo$3bob2ob2o33bob2ob2o 33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o33bob2ob2o 33bob2ob2o$2b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o7b2o29b2o 7b2o29b2o7b2o29b2o7b2o29b2o7b2o$bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo 28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo28bo5bo4bo$bo5bob2o 3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo 26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo26bo5bob2o3bo$o5bo3bobobo25bo5b o3bobobo25bo5bo3bobobo25bo5bo3bobobo25bo5bo3bobobo25bo5bo3bobobo25bo5b o3bobobo25bo5bo3bobobo25bo5bo3bobobo25bo5bo3bobobo$o4b2o3bobobo25bo4b 2o3bobobo25bo4b2o3bobobo25bo4b2o3bobobo25bo4b2o3bobobo25bo4b2o3bobobo 25bo4b2o3bobobo25bo4b2o3bobobo25bo4b2o3bobobo25bo4b2o3bobobo$bo3bo3bo 31bo3bo3bo31bo3bo3bo31bo3bo3bo31bo3bo3bo31bo3bo3bo31bo3bo3bo31bo3bo3bo 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2o38b2o41bobobo35bobobo35bobobo35bobobo$158b2o38b2o2b3o33b2o2b3o36bo3b o35bo3bo35bo3bo35bo3bo$204b2o36b3o39b2obo36b2obo36b2obo36b2obo$205bo 37bobo38bo3bo35bo3bo35bo3bo35bo3bo$207bo35b3obo36b2ob4o33b2ob4o33b2ob 4o33b2ob4o$203bo4bo37bo$209bo36bo3bo32bo6bo32bo6bo32bo6bo32bo6bo$203bo 4bo2b2o32bobob2o33b2obobo34b2obobo34b2obobo34b2obobo$202b2ob3o3bo34b5o 33b2o38b2o38b2o38b2o$204bob2o75b2o38b2o38b2o38b2o$202bobob2o74b3ob2o 34b3ob2o34b3ob2o34b3ob2o$203bo3b2o72b2o4bo33b2o4bo33b2o4bo33b2o4bo$ 206b2o74b2o2b3o33b2o2b3o33b2o2b3o33b2o2b3o$207b2o74bo2b2o35bo2b2o35bo 2b2o35bo2b2o$206bo73bo2bo2b2o32bo2bo2b2o32bo2bo2b2o32bo2bo2b2o$205bo2b o76b3o37b3o37b3o37b3o$205bo78bo39bo39bo39bo$204bo3bo75bo3b2o34bo3b2o 34bo3b2o34bo3b2o$205b2ob2o72b2o4b3o31b2o4b3o31b2o4b3o31b2o4b3o$206bobo 79b3o37b3o37b3o37b3o$202b3o3bo79b3o37b3o37b3o37b3o$202b2o3b2o80bo39bo 3bo35bo3b2o34bo$204b2obob2o77bo39bo3b3o33bo3b2o34bo$206bo125b2o2bo36b 2o32bobo$203bo129bo3bo36b2ob2o31b3o$203bo130bobo38bob2o28bo$333bo2bo2b 3o32bo3b2o26b6obo$332bo2b2o37bobo3bo25bobob3obo$331bo4b5o$331bo2bob3o 36b2o$332bo46bo$334bobo42bo$335b2o$336bo$335b3o2$333b2o$336b3o$332bo2b o$332bo2bo$332bo5bo$331b2ob2obobo$331b2ob2o3bo$332b2obo$333bob2obo! #C [[ THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ X -10 Y -60 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 [[ 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 [[ 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 [[ 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 [[ 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 [[ COLOR LABEL Yellow LABELSIZE 20 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 [[ COLOR LABEL Magenta LABELSIZE 18 LABELALPHA .65 ]] #C [[ LABEL 247 115 3.5 "wandering\nminstrel" ]] #C [[ LABEL 378 135 3.5 "wandering\nminstrel" ]] #C [[ COLOR LABEL Cyan LABELSIZE 18 LABELALPHA .70 ]] #C [[ LABEL 411 134 3.5 "featherweight\nminstrel" ]] #C [[ WIDTH 960 HEIGHT 560 POPUPWIDTH 960 POPUPHEIGHT 560 ZOOM 2 THUMBSIZE 2 AUTOSTART ]]
In order to expand and view annotations: (click above to open LifeViewer)

The complete spaceships are named Minstrel 0 (Sir Robin) through to Minstrel 9, in order of discovery. The indecomposable tagalongs are given the following names:

  • 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

The Ragged minstrel is a bit like a middleweight one, but the sparks are on the other side.

History

The first tagalong, Minstrel 1, was discovered by Adam P. Goucher on July 15, 2018, after resuming the original ikpx search.[5]

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.[6]

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.[7]

On July 20, 2018, Goldtiger997 built a stable circuit that can accept any of Minstrel 0 through to Minstrel 3,[8] 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[9]. Two days later, Goldtiger997 updated the previous minstrel remover/detector to accept any of the known tagalongs including the composite Minstrel 4.[10]

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. Dave Greene assembled existing components to discover two new spaceships, Minstrels 7 and 8. Minstrel 9 followed shortly after, on the 18th January.

Minstrel arithmetic

By pure coincidence, 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

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)

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.[11]

#C All known (2,1)c/6 technology in existence as of 19 January 2019 #C Knightwave rediscovered by Kiho Park, original discoverer unknown #C Components by Adam P. Goucher #C Connections by Dave Greene, Matthias Merzenich, and Entity Valkyrie 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$54b2obo30bo$56bob3ob2o24b5o$54bo 2bo29bo$53b2obo2bobo25b2ob2o$53b2o2b3o26bo4b2o$54bo2bo2bobo23bobo$54b 2obob2o2b2o20b2o$56bob3o24b2ob3ob2o$62b3o20b2o4bo3bo$63b2o21b2o5bo2bo$ 92bo$55b2o6bo2bo26b2o2bo$55b2obo4b4o25b5o$56b2o3b5o24bo$56bo3b2o$56b2o 4bo27b2o$56bo4b2o26b2o5b3o$54b5o2bo2bo24b2ob3o2b2o$57bo5b2o26bobo$56b 2o6bob3o26bob2o$57bo4b2o3b2o22bo3bob2o$60b4o27bo3bobo$63b3o25bo5bo$64b o4bo21bo3bob2o$64b7o21bo$67bob2o22b3o$63b3o3b2o$66bo5bo20bo$63b2ob3o2b o21bo4bo$62b2o3b2ob2o21bob2ob2o$62bobo2bobobobo25b2o$63b2ob5o3bo22b2ob obo$63b2o3bo2bobo24b2o3bo$64bo2bo30bo3b2o$4bo60bo36bo$3b3o58b3o33bo3bo $2b2o2b2o55bo36bo3bo$3bob3o55bob3o36b2o$2b3ob3o2b2o55bo32b2o2b3o$bo6bo bob2o48bo6bo31bo2bobo$2o4b5o50b2obo3bo32bo$2o3b3o2bo3b2o48bob2o33bo7bo $2o3b2o2b2o54b3o34b3o3bo$3o2bo3b2o2bo54b2o33b2o4bob2o$2bobobobobob2o 47b4o4bo34b3o3b2obo$8b2o2b2o48b5obobo31bo2bo5bobo$7bo9bo44bo6bo33b2o$ 12b2obo2bo50bo2bo35b2o$11b2o4bo51bo2bo33bobo$10bobobo2b2o48b6o32bo$9b 2obo4bo47bob2obo37bo$15bo2bo46bo7bo34bo$12b2obob2o46bo4b3obo27b2o4bo3b o$11bobo2b2o48bo3bobo29bo4bo3b3o$10b2o3bo3bo46b2o4bobo25bo3b2o$10b2ob 6o48b2obob2o23b2o3bo8bo3bo$12b5obo49bob5o22bo16b3o$18bob2o44bob2o2bo 22bo3b2o10bo6bo$12bo5bob2o47bo22b2o3bo13bo2bo3bo$12bo6b3o44bo4bo2bo17b o18bo3b2obo$12bo8b3o43bo3b2o17bo3b2o19b2o$16b2o3bo49bo15b2o3bo19b2ob2o $11bo3b2o52b2o16bo27b2o$11b3ob2obo49b2o4bo10bo3b2o20b2o2b2o$11bo2b3o2b o49bo3bobo6b2o3bo21b2ob2o$17bo2bo48bo2bo3b2o4bo26b2o$12bobo3bo3b2o48bo bo5bo3b2o24bobo$12bobo7bobo54bo2bo28b3o$12bobo4b2obo51b2obo33bo2bo$21b o54bo3bo31b2o2bo$76b2o33bo3bob2o$20bo2b2o52bob2o31bo2bo$20b2obo2bo86b 6o$19bo5bobo49bo$20b3o5bo50b2ob2o$79bo2b2o$18b3obobo3bo88bobo$17b2o6bo 50bo2bo5bo30b2ob3o$17b2ob3o3b2obo47b2o5b4o27bobo$19bo2bo3b2obo49bo4b2o b2o25b3o4bo$19b2obo91bo6b2o$20b2o59bo33bo4bo$19bo2bo60b4o34b2o$20b3o 60bobo$19bo3bo58bo2bo$21bo61bo$18b2ob2o2bo57bo$17bobo5bo57bobo2bo$17bo 5bo53b3o3bob3obo$18b7o52bo2bo5bo2bo$18bo6bo51bobo7bob3o$18b4ob3o46b3o 15bobo$18b2o6bo45bo2bo13bo3bo$20b5ob2o44bobo12bob2o2b2o$20b2obo3bo39b 3o17bob6o$24bob2o39bo2bo17b2obo$23b3ob3o37bobo$22b2o4bo33b3o23bo$21bob 4obo33bo2bo20b2obobobo$20b2o3b2ob2o32bobo21bo4b2o$23bo2bobo28b3o26bo4b o$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 [[ 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 50 65 6 "Sir Robin" ]] #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)

Currently, the grammar of known (2,1)c/6 spaceships can be completely classified. In particular, every known (2,1)c/6 spaceship is either:

  • Minstrel n (for some n between 0 and 9), or
  • A horizontal sequence of two or more spaceships, each of the above form, with adjacent spaceships joined by 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). The leftmost spaceship in the 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. Elementary knightship (discussion thread) at the ConwayLife.com forums
  2. Josh Ball. Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Adam P. Goucher. Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  4. Martin Grant. Re: Elementary knightship (discussion thread) at the ConwayLife.com forums
  5. Adam P. Goucher. Minstrel (discussion thread) at the ConwayLife.com forums
  6. Dave Greene. Re: Minstrel (discussion thread) at the ConwayLife.com forums
  7. Adam P. Goucher. Re: Minstrel (discussion thread) at the ConwayLife.com forums
  8. Goldtiger997. Re: Minstrel (discussion thread) at the ConwayLife.com forums
  9. Entity Valkyrie. Re: Minstrel (discussion thread) at the ConwayLife.com forums
  10. Goldtiger997. Re: Minstrel (discussion thread) at the ConwayLife.com forums
  11. PHPBB12345. Re: Elementary knightship (discussion thread) at the ConwayLife.com forums

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