User:AforAmpere/2x2

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Revision as of 17:04, 23 February 2024 by DroneBetter (talk | contribs) (add lower bounds and results found with qfind for the orthogonal speeds, including very nice 36-cell width-9 c/5, update the LifeViewer embed (I am not sure of spaceships' uniqueness at a given width because attempting to complete large searches causes my computer to play a square wave very loudly in my headphones and crash, and I don't think I can get much further (without zsh killing it) in my present RAM))
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Known spaceships by width

The majority of spaceships shown as upper bounds 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 12 23 24 < w ≤ 28
(1,1)c/4 w ≤ 19
(1,0)c/5 9 15 16
(2,0)c/5 11 21 16
(1,0)c/6 8 15 14
(2,0)c/6 9 13 14
(1,0)c/7 7 13 14
(2,0)c/7 8 15 16
(3,0)c/7 10 19 20

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.

x = 382, y = 69, rule = B36/S125 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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 3100 HEIGHT 600 ZOOM 8 ]]
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

External links