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[3] | 17[4] | 18[4][5] | 19[4] | 17 | 18[5] |
| (2,1)c/6 | 15[1] | - | - | - | - | - |
| (3,0)c/6 | 18[6] | 21 | 28 | 21 | - | - |
| (1,0)c/7 | 10[7][8] | 19[8] | 22[9] | 21[7][8] | - | - |
| (1,1)c/7 | 9 | - | - | - | - | - |
| (2,0)c/7 | 11[10][11] | 23[4] | 18 | 23[11] | - | - |
| (2,1)c/7 | 11[12] | - | - | - | - | - |
| (3,0)c/7 | 14[13] | 29[14] | 28[13] | 31[13] | - | - |
| (1,0)c/8 | 10[15] | 19[16] | 18[17] | 21[15] | - | - |
| (1,1)c/8 | 7 | - | - | - | - | - |
| (2,0)c/8 | 9[4] | 15[4][18] | 18[4][18] | 17[4][18] | 13 | 14 |
| (2,1)c/8 | 8 | - | - | - | - | - |
| (2,2)c/8 | 8 | - | - | - | - | - |
| (3,0)c/8 | 11[12] | 21[12] | 22[19] | 23[12] | - | - |
| (3,1)c/8 | 12[12] | - | - | - | - | - |
| (4,0)c/8 | 11[4] | 17[4] | 20[4] | 19[4] | 17 | 20[4] |
| (1,0)c/9 | 8[20] | 15[20] | 16[20] | 15[21] | - | - |
| (1,1)c/9 | 6 | - | - | - | - | - |
| (2,0)c/9 | 8[22] | 15[23] | 16[21] | 17[22] | - | - |
| (2,1)c/9 | 7 | - | - | - | - | - |
| (2,2)c/9 | 7 | - | - | - | - | - |
| (3,0)c/9 | 11[24] | 17[4] | 16[3] | 17[4] | - | - |
| (3,1)c/9 | 8 | - | - | - | - | - |
| (4,0)c/9 | 11[13] | 21[13] | 22[25] | 23[13] | - | - |
| (1,0)c/10 | 6[26] | 11[26] | 10 | 13[26] | - | - |
| (1,1)c/10 | 7 | - | - | - | - | - |
| (2,0)c/10 | 6 | 11 | 12 | 13 | 13[25] | 14[25] |
| (2,1)c/10 | 6 | - | - | - | - | - |
| (2,2)c/10 | 6 | - | - | - | - | - |
| (3,0)c/10 | 9[27] | 17[28] | 18[27] | 17[29] | - | - |
| (3,1)c/10 | 7 | - | - | - | - | - |
| (3,2)c/10 | 8 | - | - | - | - | - |
| (4,0)c/10 | 10[3] | 15[4] | 22[30] | 21[4] | 15[31] | 16[31] |
| (4,1)c/10 | 8 | - | - | - | - | - |
| (5,0)c/10 | 11[3] | 19[4] | 22[3] | 19[4] | - | - |
| (1,0)c/11 | 6[32] | 9[32] | 10[32] | 11[32] | - | - |
| (1,1)c/11 | ? | - | - | - | - | - |
| (2,0)c/11 | 6[26] | 11[26] | 12[26] | 13[26] | - | - |
| (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[33] | 17[33] | 18[33] | 19[33] | - | - |
| (4,1)c/11 | ? | - | - | - | - | - |
| (5,0)c/11 | 10[33] | 19[33] | 20[33] | 21[33] | - | - |
| (2,0)c/12 | ? | ? | ? | ? | 9[34] | ? |
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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$587bo2bo2bo2bo168b3ob2o3b2ob3o$585b4o6b4o85bo5bo3bo5bo60bo21bo$583b2o 2bo8bo2b2o82bobo3bo5bo3bobo60bobob5o3b5obobo$582bo3bo10bo3bo80bo2bo3b 2o3b2o3bo2bo59bo3bo2b2o3b2o2bo3bo$582bo4bo8bo4bo80bo2b2o3bo3bo3b2o2bo 59bo3b3o7b3o3bo$582bo4b2o6b2o4bo160bo4bo9bo4bo$583b2o2bo8bo2b2o165b3o 7b3o$583b2obo10bob2o164bo2b2o5b2o2bo$768b2o5b2o$764b2o4bo3bo4b2o$583b 2o14b2o162bo3bo3bobo3bo3bo$582bo2bo12bo2bo158b2ob3obobobobobobob3ob2o$ 582bo2bo12bo2bo157bo5b2o4bobo4b2o5bo$583b2o14b2o157bo4b2o15b2o4bo$758b 3o8bo5bo8b3o$767b2o7b2o$322bo445bo2bobo2bo$321bobo436bo8b2o3b2o8bo$ 320bo3bo437bo6bo5bo6bo$321b3o434bo3b2o17b2o3bo$759bo25bo$319b2o3b2o 434b2o2bo15bo2b2o$316b2o3bobo3b2o430bo3bo17bo3bo$316b2o3bobo3b2o432b2o bo15bob2o$314b2o5bobo5b2o427bo2bo2b2o13b2o2bo2bo$318b2obobob2o432b2obo 3b2o9b2o3bob2o$44bo269bo6bobo6bo428b2o2b2ob2o9b2ob2o2b2o$43bobo271b2o 2bobo2b2o437b3o9b3o$42bo2bo269bo2bobo3bobo2bo435bo13bo$43b2o270b2o11b 2o434bob2o9b2obo$315b2o11b2o436bo11bo$39bo5bo272bo7bo440bo9bo$38bobo3b o273b3o3b3o439bo11bo$37bo2bo3b2o274bo3bo440b2ob2o5b2ob2o$37bo2b2o3bo 271b2obo3bob2o440b2o5b2o$319b2o3b2o440bo2bo5bo2bo$319bobobobo438bo15bo $768b2o5b2o$319bo2bo2bo438bob2o9b2obo$320b2ob2o$319b2o3b2o440b3o7b3o$ 765b3o9b3o$318bo2b3o2bo437bo3b4ob4o3bo$317b11o438b4obobob4o$317b2obo3b ob2o437b2obo2bobo2bob2o$765b2obo2bobo2bob2o$768bob2ob2obo$770bo3bo$ 769bo5bo2$764b3o11b3o$765bo13bo$765bo13bo$763bobo13bobo$764bo15bo11$ 123bo5bo$122b3o3b3o228bo5bo$121b2obo2b2obo227b3o3b3o$121b3o3b3o227bo2b o3bo2bo$122b2o4b2o226b3o7b3o$127bo229bobo5bobo$123bobob2obo228b2o3b2o$ 123bo2bobo226bo4bo3bo4bo$127bo232bo3bo$126b2o227b2o3bo3bo3b2o$124bo2bo 229bo2bo3bo2bo$124bo234bo5bo364bo3bo73b3o3b3o$124bo3bo601bo3bo73bo2bob o2bo$123b5obo232bo366bobobobo71bo3bobo3bo$123bob2o2b2o229b2ob2o444bobo bobo$122bo5b3o597bo7bo72bo5bo$126bo233b2ob2o360bob2o2bobo2b2obo69b2o3b 2o$123bo3bo231bo2bo2bo359bobo2b2ob2o2bobo70b2ob2o$122bo3bo232bobobobo 358bob2obobobobob2obo69b2ob2o$122bo2b2o230b2o3bo3b2o441bo5bo$121bo235b 2ob5ob2o362bo3bo70b3o9b3o$122bo2bo234b2ob2o439bo2b2o7b2o2bo$123bobo 231bobo5bobo358b2ob2o3b2ob2o65bo15bo$358bobo3bobo359b2o9b2o69bo7bo$ 123bo4b3o229b2ob2o364b2o3b2o69bo2bo7bo2bo$125bo2bo2bo228b2ob2o365bo3bo 70bobo9bobo$122b2o4bo600bo5bo69b2o11b2o$121bo3bo2bo233bo365bobo3bobo 66bo3b3o5b3o3bo$126bobo233bo364b4o3b4o65bo5bo5bo5bo$121b2o2bo234bobobo 361bo2bo5bo2bo69b2o5b2o$123b2o3b3o228b2o3b2o360bob2o5b2obo66bo5bobo5bo $127b3o598bo7bo71bob2ob2obo$126b2o229bo9bo360b2o5b2o70bo3bobo3bo$124bo 5b2o225bo9bo441b2o3b2o$124bobo3b2o226bo7bo363bo3bo73b3o3b3o$125bobo 232bo3bo364bo5bo72bobo3bobo$729bo5bo71bo9bo$808bobo3bobo$123b3o603b2o 3b2o73bo5bo$729bobobobo74bo3bo$730b2ob2o73b4ob4o$731bobo74bo7bo$731bob o75bo5bo$728b2obobob2o72bo5bo$728b2obobob2o$727bo3bobo3bo68b3ob2ob2ob 3o$726b3ob2ob2ob3o66bo3b2o3b2o3bo$726b2o9b2o65bo2bo2bo3bo2bo2bo$726b3o 7b3o65b2o3b2o3b2o3b2o$726bo2bo5bo2bo65bob5o3b5obo$724b2o3b2o3b2o3b2o 69b2ob2o$725b2ob3o3b3ob2o64b5o7b5o$726bo2bo5bo2bo64b4ob2o5b2ob4o$727bo 2bo3bo2bo65b3o3b2o3b2o3b3o$727b2ob2ob2ob2o70bob2ob2obo$729bobobobo74b 2ob2o$725bobo2bo3bo2bobo67bobo5bobo$725bo2bo7bo2bo66bob2o5b2obo$729bo 5bo69b2o2bo5bo2b2o$804b2o13b2o$728bobo3bobo70bo2b2ob2o2bo$730bo3bo69b 2o4b2ob2o4b2o$728bobo3bobo73bo3bo$727bo2bo3bo2bo69b4o3b4o$728bo7bo69bo 4bobo4bo$729bo5bo70bob2obobob2obo$805b2ob2obobob2ob2o$724b2o2b2o5b2o2b 2o63b3o11b3o$724b3o3bo3bo3b3o65bo11bo$727b4o3b4o68bo11bo$726bo4bobo4bo 65b3o11b3o$727bo2bo3bo2bo69b3o5b3o$727bo9bo70b2o5b2o2$807b3o5b3o$807b 2o7b2o$809bo5bo$808b2obobob2o$807bo9bo$807bo3bobo3bo2$807b3o5b3o$806bo 11bo$807bobo5bobo$805bo2bobo3bobo2bo$805b4obo3bob4o$804bo3bob2ob2obo3b o$804bo2b2o7b2o2bo$803b2obo3b2ob2o3bob2o$806bob2obobob2obo$803b5obo5bo b5o$803bo6bo3bo6bo$808bo7bo$807bo2bo3bo2bo$811bobo$811bobo$808b2obobob 2o$808bo2bobo2bo$808bo2bobo2bo2$807b2o7b2o$807b2o7b2o$807b2o7b2o3$806b o2bo5bo2bo46$808bo7bo$807b3o5b3o$807bo2bo3bo2bo$808b2obobob2o$804bo3b 2obobob2o3bo$803bobo5bobo5bobo$802b2ob2o3b2ob2o3b2ob2o$803bo7bobo7bo$ 803bo7bobo7bo$803bo2bo3b2ob2o3bo2bo$804bo15bo$808b3o3b3o$806b2obo5bob 2o$809bo5bo$809b2o3b2o$810b2ob2o2$807bo3bobo3bo2$809bobobobo$809bobobo bo$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.
- ↑ praosylen (May 13, 2017). "Re: Spaceship Discussion Thread". Retrieved on May 24, 2017.
- ↑ 3.0 3.1 3.2 3.3 3.4 Matthias Merzenich (April 14, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 4.00 4.01 4.02 4.03 4.04 4.05 4.06 4.07 4.08 4.09 4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.17 4.18 Matthias Merzenich (March 17, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 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.
- ↑ 7.0 7.1 Tim Coe (June 11, 2016). "Re: Spaceship Discussion Thread". Retrieved on June 11, 2016.
- ↑ 8.0 8.1 8.2 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.
- ↑ 11.0 11.1 Matthias Merzenich (April 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 12.0 12.1 12.2 12.3 12.4 Checked with knight2.c
- ↑ 13.0 13.1 13.2 13.3 13.4 13.5 Tim Coe (April 17, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 17, 2016.
- ↑ Checked by Paul Tooke with gfind
- ↑ 15.0 15.1 Matthias Merzenich (November 29, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (February 25, 2020). Re: Help me finish this c/8 search (discussion thread) at the ConwayLife.com forums
- ↑ 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.
- ↑ Tanner Jacobi (December 3, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
- ↑ 20.0 20.1 20.2 AforAmpere (November 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
- ↑ 21.0 21.1 praosylen (December 27, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 27, 2016.
- ↑ 22.0 22.1 praosylen (December 28, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 29, 2016.
- ↑ praosylen (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
- ↑ 25.0 25.1 25.2 Tim Coe (March 1, 2016). "Re: Spaceship Discussion Thread". Retrieved on March 24, 2016.
- ↑ 26.0 26.1 26.2 26.3 26.4 26.5 26.6 praosylen (January 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on January 16, 2017.
- ↑ 27.0 27.1 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.
- ↑ Matthias Merzenich (April 19, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ 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 praosylen (December 25, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 25, 2016.
- ↑ 33.0 33.1 33.2 33.3 33.4 33.5 33.6 33.7 Matthias Merzenich (May 5, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Ivan Fomichev using gfind under OS X 10.9.5