LifeWiki:Spaceship Search Status Page

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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.

This table assumes horizontal symmetry and does not account for diagonal symmetry for diagonal spaceships.

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] 11[33] 12[33] 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[34] 17[34] 18[34] 19[34] - -
(4,1)c/11 ? - - - - -
(5,0)c/11 10[34] 19[34] 20[34] 21[34] - -
(2,0)c/12 ? ? ? ? 9[35] ?
[[:RLE:Known spaceships by width]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Ships

(click above to open LifeViewer)
RLE: here Plaintext: here

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. ↑ 1.0 1.1 Tim Coe (December 18, 2015). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on December 18, 2015.
  2. ↑ praosylen (May 13, 2017). "Re: Spaceship Discussion Thread". Retrieved on May 24, 2017.
  3. ↑ 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. ↑ 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. ↑ 5.0 5.1 Tim Coe (April 13, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 13, 2016.
  6. ↑ Tim Coe (January 30, 2016). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on January 30, 2016.
  7. ↑ 7.0 7.1 Tim Coe (June 11, 2016). "Re: Spaceship Discussion Thread". Retrieved on June 11, 2016.
  8. ↑ 8.0 8.1 8.2 Matthias Merzenich (December 24, 2016). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  9. ↑ Matthias Merzenich (June 14, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
  10. ↑ Tomas Rokicki (March 1, 2018). "Re: Spaceship Discussion Thread". Retrieved on March 3, 2018.
  11. ↑ 11.0 11.1 Matthias Merzenich (April 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  12. ↑ 12.0 12.1 12.2 12.3 12.4 Checked with knight2.c
  13. ↑ 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.
  14. ↑ Checked by Paul Tooke with gfind
  15. ↑ 15.0 15.1 Matthias Merzenich (November 29, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  16. ↑ Matthias Merzenich (February 25, 2020). Re: Help me finish this c/8 search (discussion thread) at the ConwayLife.com forums
  17. ↑ Arie Paap (March 19, 2017). "Re: Spaceship Discussion Thread". Retrieved on May 24, 2017.
  18. ↑ 18.0 18.1 18.2 Tim Coe (April 21, 2016). "Re: Spaceship Discussion Thread". Retrieved on April 21, 2016.
  19. ↑ Tanner Jacobi (December 3, 2015). Re: 3c/7 othogonal and 2c/9 diagonal spaceships (discussion thread) at the ConwayLife.com forums
  20. ↑ 20.0 20.1 20.2 AforAmpere (November 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
  21. ↑ 21.0 21.1 praosylen (December 27, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 27, 2016.
  22. ↑ 22.0 22.1 praosylen (December 28, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 29, 2016.
  23. ↑ praosylen (December 25, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 25, 2016.
  24. ↑ Matthias Merzenich (March 26, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  25. ↑ 25.0 25.1 25.2 Tim Coe (March 1, 2016). "Re: Spaceship Discussion Thread". Retrieved on March 24, 2016.
  26. ↑ 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. ↑ 27.0 27.1 AforAmpere (November 13, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
  28. ↑ AforAmpere (December 10, 2017). "Re: Spaceship Discussion Thread". Retrieved on December 10, 2017.
  29. ↑ AforAmpere (November 5, 2017). "Re: Spaceship Discussion Thread". Retrieved on November 20, 2017.
  30. ↑ Matthias Merzenich (April 19, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  31. ↑ 31.0 31.1 Tim Coe (February 1, 2016). "Re: 3c/7 othogonal and 2c/9 diagonal spaceships". Retrieved on March 5, 2016.
  32. ↑ 32.0 32.1 praosylen (December 25, 2016). "Re: Spaceship Discussion Thread". Retrieved on December 25, 2016.
  33. ↑ 33.0 33.1 lordlouckster (July 13, 2022). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  34. ↑ 34.0 34.1 34.2 34.3 34.4 34.5 34.6 34.7 Matthias Merzenich (May 5, 2021). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums
  35. ↑ Ivan Fomichev using gfind under OS X 10.9.5
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