User:DerDieDasDemDenDes/Sylvani's Spaceship Search Status Page

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Conventions

The tables below give the minimum orthogonal width and height of the envelope of a spaceship of the specified type. This is found by simulating a period-p spaceship for p iterations, with the initial phase chosen to minimise the width or height.

For types where the minimum is known, references point to the proof of minimality rather than the discovery of the ship possessing it. A stamp collection of minimum-width ships is given below the table.

Symmetry considered is in the line parallel to a spaceship's direction of motion.

Seeds Group (B2/S-B25678/S5678) (WIP)

B2/S long-thin (Seeds)

B2c means gutters must be at least 3 cells wide always to be preserves, meaning all gutter spaceships comprised of noninteracting parts; it is omitted.

Velocity Asymmetric Odd-symmetric Even-symmetric Odd glide-symmetric Even glide-symmetric
(1,0)c/1 4 w ≤ 11[1] 4 - -
(1,0)c/2 30(LLSSS)[2][3] 39(LLSSS) 46 - -
(2,0)c/2 - - - - -
(1,0)c/4 24

Strobing Group (B0/S-B012345678/S01234567) (WIP)

B012-e3aj/S2aei3ijq4y5an7e long-thin (Twinkle)

Velocity Asymmetric Odd-symmetric Even-symmetric Gutter Odd glide-symmetric Even glide-symmetric
(1,0)c/4 19 23[4] 24
(1,1)c/4 10 < w 13 < w ≤ 17 12
(1,0)c/6 6 11 < w[5] 10 < w -
(2,0)c/6 20
(1,1)c/6 18 25 - -
(2,0)c/8 15
(1,1)c/20 - - - - 10 -

sylvie's collection is [6]

References

  1. May be impossible without B3i?
  2. Matthias Merzenich (January 26th, 2025). Re: Seeds (discussion thread) at the ConwayLife.com forums
  3. easy to verify no w29a by searching back-to-front in LLSSS
  4. see also w25o, which remains shortest until beaten by w29o
  5. technically (depending on one's definitions) there is one at w11o, however it is infinite
  6. bo3bo$o3bobo14bo$5bo30b2o2b2o$bo33bob4obo9bo$2bo31bo2b4o2bo7bobo$18bo2bo13bob4obo9bo$19b2o!