LifeWiki:Spaceship Search Status Page
Known spaceships by width
The table below gives the minimum width of the envelope for spaceships of the specified type. For types where the minimum width is known, references point to the proof of minimality rather than the discovery of the minimum-width ship. A stamp collection of minimum-width ships is given below the table.
| Velocity | Asymmetric | Odd-symmetric | Even-symmetric | Gutter | Odd glide-symmetric | Even glide-symmetric |
|---|---|---|---|---|---|---|
| (1,0)c/2 | 21 | 21 | 28 | 21 | - | - |
| (1,0)c/3 | 12 | 15 | 12 | 17 | - | - |
| (1,0)c/4 | 10 | 13 | 16 | 17 | - | - |
| (1,1)c/4 | 3 | - | - | - | - | - |
| (2,0)c/4 | 5 | 11 | 12 | 11 | 5 | 12 |
| (1,0)c/5 | 11 | 19 | 18 | 19 | - | - |
| (1,1)c/5 | 13[1] | - | - | - | - | - |
| (2,0)c/5 | 10 | 15 | 18 | 15 | - | - |
| (1,0)c/6 | 12[2] | 19 | 18 | 21 | - | - |
| (1,1)c/6 | 10 | - | - | - | - | - |
| (2,0)c/6 | 12 | 17[3] | 18[4][3] | 19[3] | 17 | 18[4] |
| (2,1)c/6 | 15[1] | - | - | - | - | - |
| (3,0)c/6 | 18[5] | 21 | 28 | 21 | - | - |
| (1,0)c/7 | 10[6][7] | 19[7] | 22[8] | 21[6][7] | - | - |
| (1,1)c/7 | 9 | - | - | - | - | - |
| (2,0)c/7 | 11[9] | 23[3] | 18 | 21[3] | - | - |
| (2,1)c/7 | 11[10] | - | - | - | - | - |
| (3,0)c/7 | 17[11] | 29[12][13] | 30[11] | 31[14] | - | - |
| (1,0)c/8 | 9[15] | 17[16] | 18[17] | 19[15] | - | - |
| (1,1)c/8 | 7 | - | - | - | - | - |
| (2,0)c/8 | 9[3] | 15[18][3] | 16[18][3] | 17[18][3] | 13 | 14 |
| (2,1)c/8 | 8 | - | - | - | - | - |
| (2,2)c/8 | 8 | - | - | - | - | - |
| (3,0)c/8 | 11[10] | 23[19] | 24[20] | 23[10] | - | - |
| (3,1)c/8 | 12[10] | - | - | - | - | - |
| (4,0)c/8 | 11[3] | 17[3] | 20[3] | 19[3] | 17 | 20[3] |
| (1,0)c/9 | 8[21] | 15[21] | 16[21] | 15[22] | - | - |
| (1,1)c/9 | 6 | - | - | - | - | - |
| (2,0)c/9 | 8[23] | 15[24] | 16[22] | 17[23] | - | - |
| (2,1)c/9 | 7 | - | - | - | - | - |
| (2,2)c/9 | 7 | - | - | - | - | - |
| (3,0)c/9 | 11[25] | 17[3] | 14[3] | 17[3] | - | - |
| (3,1)c/9 | 8 | - | - | - | - | - |
| (4,0)c/9 | 11[14] | 21[14] | 22[26] | 23[14] | - | - |
| (1,0)c/10 | 6[27] | 11[27] | 10 | 13[27] | - | - |
| (1,1)c/10 | 7 | - | - | - | - | - |
| (2,0)c/10 | 6 | 11 | 12 | 13 | 13[26] | 14[26] |
| (2,1)c/10 | 6 | - | - | - | - | - |
| (2,2)c/10 | 6 | - | - | - | - | - |
| (3,0)c/10 | 9[28] | 17[29] | 18[28] | 17[30] | - | - |
| (3,1)c/10 | 7 | - | - | - | - | - |
| (3,2)c/10 | 8 | - | - | - | - | - |
| (4,0)c/10 | 9[3] | 15[3] | 16[3] | 21[3] | 15[31] | 16[31] |
| (4,1)c/10 | 8 | - | - | - | - | - |
| (5,0)c/10 | 10[3] | 19[3] | 20[3] | 19[3] | - | - |
| (1,0)c/11 | 6[32] | 9[32] | 10[32] | 11[32] | - | - |
| (1,1)c/11 | ? | - | - | - | - | - |
| (2,0)c/11 | 6[27] | 11[27] | 12[27] | 13[27] | - | - |
| (2,1)c/11 | ? | - | - | - | - | - |
| (2,2)c/11 | ? | - | - | - | - | - |
| (3,0)c/11 | 6 | 11 | 12 | 13 | - | - |
| (3,1)c/11 | ? | - | - | - | - | - |
| (3,2)c/11 | ? | - | - | - | - | - |
| (4,0)c/11 | 9 | 17[33] | 18[33] | 19[33] | - | - |
| (4,1)c/11 | ? | - | - | - | - | - |
| (5,0)c/11 | 10 | 19[34] | 20[33] | 21[33] | - | - |
| (2,0)c/12 | ? | ? | ? | ? | 9[35] | ? |
x = 1122, y = 633, rule = B3/S23 39b3ob3o193b3ob3o209b3o2b4o2b3o220b3ob3o215b3o153b3o4b3o$38bo2bobo2bo 191bo2bobo2bo207bo3bob4obo3bo218bo2bobo2bo213bo2bo153bo2bo3bo2bo$37bo 3bobo3bo189bo3bobo3bo205bo6bo2bo6bo216bo3bobo3bo215bo153bo6bo$37bo9bo 189bo9bo205bo3b2o6b2o3bo216bo9bo215bo153bo6bo$39bo5bo193bo5bo209bo12bo 220bo5bo214bobo155bobo4bobo$36bobo7bobo187bobo7bobo203bobo14bobo214bob o7bobo$35b2obob2ob2obob2o185b2obob2ob2obob2o201b2obob2o8b2obob2o212b2o bob2ob2obob2o$34bobobo2bobo2bobobo183bobobo2bobo2bobobo199bobobob2o8b 2obobobo210bobobo2bobo2bobobo$33b2obo4bobo4bob2o181b2obo4bobo4bob2o 197b2o3bo2bo8bo2bo3b2o208b2obo4bobo4bob2o$32bo3bob2obobob2obo3bo179bo 3bob2obobob2obo3bo195bo3bobo2b2o6b2o2bobo3bo206bo3bob2obobob2obo3bo$ 36bo4bobo4bo187bo4bobo4bo202bo20bo213bo4bobo4bo$32b2o3bo2bo3bo2bo3b2o 179b2o3bo2bo3bo2bo3b2o195b2o24b2o206b2o3bo2bo3bo2bo3b2o9$912bo158b2o$ 911bobo153b2obo2bob2o$910bo3bo152b2o6b2o$911b3o153bobo4bobo$1069b2o2b 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2bo407bo3bo4bo3bo$38bo2bo416b3o2b3o221bo2bo3bo2bo412bo2bo$240b2ob2o 210bo4bo2bo4bo217bo11bo412b2o$39b2ob2o196bo3bo210bo4bo2bo4bo219b2o5b2o 411bobo2bobo$38bo2b3o195b2o3b2o210bo10bo640bo6bo$39bo199b2o3b2o212b2o 4b2o222b2o5b2o213bo3bo32bo5bo155b2o2b2o$41b2o416bob2obo224bo5bo214bo3b o31b3o3b3o152b2o6b2o$38b2obob2o414b6o444bobobobo29b2obo3bob2o150b3obo 2bob3o$41bo2bo413bo6bo223b2o3b2o249bob2o3b2obo149b2o2bo4bo2b2o$43b2o 413bo2b2o2bo443bobobobo27b2o2b7o2b2o146bo2bo8bo2bo$40bo2bo414bo6bo445b obo32bob5obo149bo2b2o6b2o2bo$42bo416b2o2b2o443bobo3bobo28bo4bo4bo146bo 3bo10bo3bo$39b2o3bo414b2o2b2o443bobo3bobo185bo3b3o6b3o3bo$43b2o863bo2b 3o2bo25b3o11b3o145bo14bo$41b2obo900b2o7b2o146bo2bo12bo2bo$907b2o7b2o 24b3o11b3o143bob2o12b2obo$43b3o861bo9bo24b2ob2o7b2ob2o144b3o12b3o$42b 4o862bo7bo27bo5bo5bo$41bo2bo862b2ob5ob2o27bo3b3o3bo$43bo864bo2bobo2bo 31b5o150b2o14b2o$43bo865bobobobo28bo11bo146bo16bo$40b2o903b4o3b4o146bo bo14bobo$40b3o867b2ob2o33b2ob2o153bo4b2o4bo$41bo868bo3bo34b3o154b2ob2o 2b2ob2o$42bo866b2o3b2o31b2obob2o150b4o8b4o$42b2o198bo36bo5bo623b2o3b2o 29b2obobobob2o147b2o2b2obo2bob2o2b2o$242bo35b3o3b3o658b2ob2ob2ob2o146b o18bo$43bo198bo34bo2bo3bo2bo621b2o3b2o28bo2bo5bo2bo148b2o2bo4bo2b2o$ 41b2o195bo3bo3bo29b3o7b3o619bo2bobo2bo26b2o3bo3bo3b2o144b2o16b2o$235bo bob2obob2obobo27bobo5bobo623bobo30bo11bo149b2o8b2o$234b2obobob3obobob 2o28b2o3b2o622bo2bobo2bo31b2ob2o153b3o6b3o$233bo3bo9bo3bo23bo4bo3bo4bo 617b2ob2ob2ob2o28b3o2bo155b3o4b3o$233bobobob2o3b2obobobo28bo3bo622b4ob ob4o29b3ob3o155bo4bo$237b2obo3bob2o27b2o3bo3bo3b2o621b3o32b2o2b4o153bo 2bo2bo2bo$234b2obo9bob2o26bo2bo3bo2bo624bo195bobo2bobo$237b2o2bobo2b2o 31bo5bo175b2o32bo12bo177bo11bo30bo5bo210b2o157b2obo6bob2o$237bobobobob obo213b2o31bobo10bobo174b2obobo5bobob2o27b3o3b3o175bo33b2o5bo152bo2bo 4bo2b2o$239bobobobo213bob2obo28b2ob2o8b2ob2o176bob2o3b2obo29bo2bo3bo2b o173b4o31b2o3b2obo149bobo3bo3bo3b2o$239bobobobo211b3o4b3o26b2o14b2o 173b2obo3bobo3bob2o25b3o7b3o170b2o3b2o29b2o4bo2b2o147b2o5bo$239bobobob 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$38bobo3bo273b3o3b3o439bo11bo$37bo2bo3b2o274bo3bo440b2ob2o5b2ob2o$37bo 2b2o3bo271b2obo3bob2o440b2o5b2o$319b2o3b2o440bo2bo5bo2bo$319bobobobo 438bo15bo$768b2o5b2o$319bo2bo2bo438bob2o9b2obo$320b2ob2o$319b2o3b2o 440b3o7b3o$765b3o9b3o$318bo2b3o2bo437bo3b4ob4o3bo$317b11o438b4obobob4o $317b2obo3bob2o437b2obo2bobo2bob2o$765b2obo2bobo2bob2o$768bob2ob2obo$ 770bo3bo$769bo5bo2$764b3o11b3o$765bo13bo$765bo13bo$763bobo13bobo$764bo 15bo11$123bo5bo$122b3o3b3o228bo5bo$121b2obo2b2obo227b3o3b3o$121b3o3b3o 227bo2bo3bo2bo$122b2o4b2o226b3o7b3o$127bo229bobo5bobo$123bobob2obo228b 2o3b2o$123bo2bobo226bo4bo3bo4bo$127bo232bo3bo$126b2o227b2o3bo3bo3b2o$ 124bo2bo229bo2bo3bo2bo$124bo234bo5bo364bo3bo73b3o3b3o$124bo3bo601bo3bo 73bo2bobo2bo$123b5obo232bo366bobobobo71bo3bobo3bo$123bob2o2b2o229b2ob 2o444bobobobo$122bo5b3o597bo7bo72bo5bo$126bo233b2ob2o360bob2o2bobo2b2o bo69b2o3b2o$123bo3bo231bo2bo2bo359bobo2b2ob2o2bobo70b2ob2o$122bo3bo 232bobobobo358bob2obobobobob2obo69b2ob2o$122bo2b2o230b2o3bo3b2o441bo5b o$121bo235b2ob5ob2o362bo3bo70b3o9b3o$122bo2bo234b2ob2o439bo2b2o7b2o2bo $123bobo231bobo5bobo358b2ob2o3b2ob2o65bo15bo$358bobo3bobo359b2o9b2o69b o7bo$123bo4b3o229b2ob2o364b2o3b2o69bo2bo7bo2bo$125bo2bo2bo228b2ob2o 365bo3bo70bobo9bobo$122b2o4bo600bo5bo69b2o11b2o$121bo3bo2bo233bo365bob o3bobo66bo3b3o5b3o3bo$126bobo233bo364b4o3b4o65bo5bo5bo5bo$121b2o2bo 234bobobo361bo2bo5bo2bo69b2o5b2o$123b2o3b3o228b2o3b2o360bob2o5b2obo66b o5bobo5bo$127b3o598bo7bo71bob2ob2obo$126b2o229bo9bo360b2o5b2o70bo3bobo 3bo$124bo5b2o225bo9bo441b2o3b2o$124bobo3b2o226bo7bo363bo3bo73b3o3b3o$ 125bobo232bo3bo364bo5bo72bobo3bobo$729bo5bo71bo9bo$808bobo3bobo$123b3o 603b2o3b2o73bo5bo$729bobobobo74bo3bo$730b2ob2o73b4ob4o$731bobo74bo7bo$ 731bobo75bo5bo$728b2obobob2o72bo5bo$728b2obobob2o$727bo3bobo3bo68b3ob 2ob2ob3o$726b3ob2ob2ob3o66bo3b2o3b2o3bo$726b2o9b2o65bo2bo2bo3bo2bo2bo$ 726b3o7b3o65b2o3b2o3b2o3b2o$726bo2bo5bo2bo65bob5o3b5obo$724b2o3b2o3b2o 3b2o69b2ob2o$725b2ob3o3b3ob2o64b5o7b5o$726bo2bo5bo2bo64b4ob2o5b2ob4o$ 727bo2bo3bo2bo65b3o3b2o3b2o3b3o$727b2ob2ob2ob2o70bob2ob2obo$729bobobob o74b2ob2o$725bobo2bo3bo2bobo67bobo5bobo$725bo2bo7bo2bo66bob2o5b2obo$ 729bo5bo69b2o2bo5bo2b2o$804b2o13b2o$728bobo3bobo70bo2b2ob2o2bo$730bo3b o69b2o4b2ob2o4b2o$728bobo3bobo73bo3bo$727bo2bo3bo2bo69b4o3b4o$728bo7bo 69bo4bobo4bo$729bo5bo70bob2obobob2obo$805b2ob2obobob2ob2o$724b2o2b2o5b 2o2b2o63b3o11b3o$724b3o3bo3bo3b3o65bo11bo$727b4o3b4o68bo11bo$726bo4bob o4bo65b3o11b3o$727bo2bo3bo2bo69b3o5b3o$727bo9bo70b2o5b2o2$807b3o5b3o$ 807b2o7b2o$809bo5bo$808b2obobob2o$807bo9bo$807bo3bobo3bo2$807b3o5b3o$ 806bo11bo$807bobo5bobo$805bo2bobo3bobo2bo$805b4obo3bob4o$804bo3bob2ob 2obo3bo$804bo2b2o7b2o2bo$803b2obo3b2ob2o3bob2o$806bob2obobob2obo$803b 5obo5bob5o$803bo6bo3bo6bo$808bo7bo$807bo2bo3bo2bo$811bobo$811bobo$808b 2obobob2o$808bo2bobo2bo$808bo2bobo2bo2$807b2o7b2o$807b2o7b2o$807b2o7b 2o3$806bo2bo5bo2bo46$808bo7bo$807b3o5b3o$807bo2bo3bo2bo$808b2obobob2o$ 804bo3b2obobob2o3bo$803bobo5bobo5bobo$802b2ob2o3b2ob2o3b2ob2o$803bo7bo bo7bo$803bo7bobo7bo$803bo2bo3b2ob2o3bo2bo$804bo15bo$808b3o3b3o$806b2ob o5bob2o$809bo5bo$809b2o3b2o$810b2ob2o2$807bo3bobo3bo2$809bobobobo$809b obobobo$810b2ob2o$810bo3bo!
Known spaceships by height
| Velocity | minimum height |
|---|---|
| (1,0)c/2 | 8 |
| (1,0)c/3 | 5 |
| (1,0)c/4 | 8 |
| (2,0)c/4 | 6 |
| (1,0)c/5 | 8 |
| (2,0)c/5 | 11 |
| (1,0)c/6 | 9 |
| (2,0)c/6 | 7 |
| (3,0)c/6 | 9 |
| (1,0)c/7 | 8 |
| (2,0)c/7 | 8 |
| (3,0)c/7 | 7 |
All results checked by Matthias Merzenich using WLS.
x = 65, y = 70, rule = B3/S23 6bo17bo$5b3o15b3o$3b2ob3o13b3ob2o$4bo2bob2o4bo4b2obo2bo$b2obo4bobob2ob 2obobo4bob2o$b2obobo2bobo7bobo2bobob2o$bo8b3obobob3o8bo$2o7b2o9b2o7b2o 13$15bo$8b2ob3ob3o$8b2o4bo2b2ob2o$7bo2bob2o3bo2b2o$19bo2bo16$3bo53bo$ 3bo7b3o11b3o28b3o$2bobo4b2o5b3o36b2obo$9b5ob5o4bo2bo27b3o$7bobo2bo2bo 3bo5bo30b2o$3b6o3bo2b2o4b6o$4b2o6bobo2b2o3bo$14bo6bo13$11bo7bo33bo$5b 2obobob2o3b2obobob2o26b3o$2b3obob3o9b3obob3o22bo3bo$2bo3bobo5bobo5bobo 3bo22b2ob2o5bo$6b2o6bobo6b2o36b2o$3b2o9bobo9b2o22b4obo5bob2o$3b2ob2o 15b2ob2o23bo2bo2b3o2bo$7bo15bo33b3o$61bo$61bob2o!
See also
References
- ↑ 1.0 1.1 Tim Coe (December 18, 2015). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on December 18, 2015.
- ↑ Aidan F. Pierce (May 13, 2017). "Re: Spaceship Discussion Thread". Retrieved on May 24, 2017.
- ↑ 3.00 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 Matthias Merzenich (March 17, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 4.0 4.1 Tim Coe (April 13, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 13, 2016.
- ↑ Tim Coe (January 30, 2016). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on January 30, 2016.
- ↑ 6.0 6.1 Tim Coe (June 11, 2016). "Re: Spaceship Discussion Thread". Retrieved on June 11, 2016.
- ↑ 7.0 7.1 7.2 Matthias Merzenich (December 24, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (June 14, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
- ↑ Tomas Rokicki (March 1, 2018). "Re: Spaceship Discussion Thread". Retrieved on March 3, 2018.
- ↑ 10.0 10.1 10.2 10.3 Checked with knight2.c
- ↑ 11.0 11.1 AforAmpere (December 21, 2020). "Re: Spaceship Discussion Thread". Retrieved on December 21, 2020.
- ↑ Checked by Paul Tooke with gfind
- ↑ Andrew J. Wade (January 1, 2020). "Re: Spaceship Discussion Thread". Retrieved on January 6, 2020.
- ↑ 14.0 14.1 14.2 14.3 Tim Coe (April 17, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 17, 2016.
- ↑ 15.0 15.1 Arie Paap (January 16, 2017). "Re: Spaceship Discussion Thread". Retrieved on January 16, 2017.
- ↑ Arie Paap (March 16, 2017). "Re: Spaceship Discussion Thread". Retrieved on March 16, 2017.
- ↑ Arie Paap (March 19, 2017). "Re: Spaceship Discussion Thread". Retrieved on May 24, 2017.
- ↑ 18.0 18.1 18.2 Tim Coe (April 21, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 21, 2016.
- ↑ AforAmpere (January 9, 2020). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ AforAmpere (January 6, 2020). "Re: Spaceship Discussion Thread". Retrieved on January 6, 2020.
- ↑ 21.0 21.1 21.2 AforAmpere (November 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
- ↑ 22.0 22.1 Aidan F. Pierce (December 27, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 27, 2016.
- ↑ 23.0 23.1 Aidan F. Pierce (December 28, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 29, 2016.
- ↑ Aidan F. Pierce (December 25, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 25, 2016.
- ↑ Matthias Merzenich (March 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 26.0 26.1 26.2 Tim Coe (March 1, 2016). "Re: Spaceship Discussion Thread". Retrieved on March 24, 2016.
- ↑ 27.0 27.1 27.2 27.3 27.4 27.5 27.6 Aidan F. Pierce (January 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on January 16, 2017.
- ↑ 28.0 28.1 AforAmpere (November 13, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
- ↑ AforAmpere (December 10, 2017). "Re: Spaceship Discussion Thread". Retrieved on December 10, 2017.
- ↑ AforAmpere (November 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
- ↑ 31.0 31.1 Tim Coe (February 1, 2016). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on March 5, 2016.
- ↑ 32.0 32.1 32.2 32.3 Aidan F. Pierce (December 25, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 25, 2016.
- ↑ 33.0 33.1 33.2 33.3 33.4 Andrew J. Wade (January 8, 2020). "Re: Spaceship Discussion Thread". Retrieved on January 8, 2020.
- ↑ Andrew J. Wade (January 5, 2020). "Re: Spaceship Discussion Thread". Retrieved on January 6, 2020.
- ↑ Ivan Fomichev using gfind under OS X 10.9.5