User:AforAmpere/2x2

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Revision as of 20:49, 31 October 2023 by DroneBetter (talk | contribs) (add some more upper bounds from the explicit examples, note diagonal width convention that seemed to be used on page's creation (though I'm not sure how it differentiates between even and odd symmetry for diagonal spaceships), add RLE embed and references)
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Known spaceships by width

The majority of spaceships shown are from LaundryPizza03's updated version of David Eppstein's glider database.[1]

Velocity Asymmetric Odd-symmetric Even-symmetric
(1,0)c/2 14 27 < w ≤ 33 28
(1,0)c/3 8 13 14
(1,1)c/3 14 21 29
(1,0)c/4 8 13 16
(2,0)c/4 w ≤ 28
(1,1)c/4 w ≤ 19
(1,0)c/5 w ≤ 15
(2,0)c/5 w ≤ 16
(1,0)c/6 w ≤ 15
(2,0)c/6 w ≤ 18
(1,0)c/7 w ≤ 13

Note by DroneBetter: From the previously-included (1,1)c/3 entry, it appears that unlike LifeWiki:Spaceship Search Status Page (which considers the maximum orthogonal width of the pattern itself), this pages measures diagonal spaceships by the number of cells in an orthogonal ray through the footprint left in their wake (corresponding with half-diagonals of width perpendicular to travel direction). The other diagonal speeds are measured accordingly.

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Spaceships of speed c/2, 2c/4,[2] 2c/5, c/3, 2c/6,[2] c/4, c/5, c/6,[2] c/7,[3] (1,1)c/8, (1,1)c/4 and (1,1)c/3.
(click above to open LifeViewer)

References

  1. LaundryPizza03 (March 1, 2022). Re: Spaceships in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
  2. 2.0 2.1 2.2 velcrorex (November 5, 2015). Re: 2x2 (discussion thread) at the ConwayLife.com forums
  3. lordlouckster (July 16, 2022). Re: 2x2 (discussion thread) at the ConwayLife.com forums