User:AforAmpere/2x2

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Revision as of 22:34, 17 March 2024 by DroneBetter (talk | contribs) (complete even-symmetric c/6 and c/7 (the latter of which has a minpop of 42, as opposed to the previous minimum of 100 in the odd one), improve many other bounds, expand to include denominators up to 9)
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This page is an equivalent to the Spaceship Search Status Page, albeit for 2x2 instead of Life.

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 14 25 28[n 1]
(1,1)c/4 w ≤ 19
(1,0)c/5 9 15 16
(2,0)c/5 12 21 16
(1,0)c/6 9 15 16
(2,0)c/6 9 13 14
(1,0)c/7 8 13 16
(2,0)c/7 9 17[n 2] 18
(3,0)c/7 10 19 20
(1,0)c/8 5 9 10
(2,0)c/8 8 11 12
(3,0)c/8 9 17 18
(4,0)c/8 11 21 22
(1,0)c/9 6 11[n 3] 12
(2,0)c/9 6 11 12
(3,0)c/9 7 11 12
(4,0)c/9 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 = 424, y = 69, rule = B36/S125 7b3o13b3o14b5o8b5o10b3o9b3o9b6o9b4o6b4o8b3o12b3o12b4o12b4o13b6o8b4o6b4o11b3o8b4o3b4o3b3o10b3o6b3o3b3o9b3o4b4o4b4o8b5o8b3o6b3o5b4o3b4o4b3o6b3o2b3o8b4o17b4o$6b4ob3o5b3ob4o12b3o4b6o4b3o8b5o7b5o8bob2obo7bob4obo2bob4obo4bo5bo8bo5bo9b6o10b6o11bo2b2o2bo32b3o12bobo8b2o10b2o5b3o6b2obo5bob2o9bo2bo12bobobo11bo4bo7bo2bo5bo2bo3bo3b4o3bo13b2o2bo15bo2b2obo$4bob2obob3ob3ob3obob2obo9b3obo12bob3o11b2o5b2o12bob2obo28bo3bo3bo6bo3bo3bo41bo6bo8bo3bo5bo3bo20b3ob3ob3o3bo2bo2bo2bo2bo2bo3bo4bo3bob2o7b2obo2bo4b2o2b2o4bo7bobo11bo6bo8bobo3bobo6bo2bo2bo2bo5bobo4bobob4o13bobobo2b2o$3bo5bo3bob3obo3bo5bo7b3o3b4ob2ob4o3b3o31bob2obo7bo6bo2bo6bo2bo9bo4bo9bo5b2o6b2o6b2o6b2o9b8o9bob2o6bob2o7bo2bo2bo5b2o3b3o3b2o2bobobo2b2o2bobobo17bo3bo10bob2o2b2obo22b3o6b3o9bobo10b2o4b2o5bo5b3o6b2o15bo3bobo$4bobo3b3o3bo3b3o3bobo10bobobo2b6o2bobobo14bo3bo12bo8bo7b4o6b4o4bo2bo3bo2bo4bo2bo3bo2bo5b4o2b4o6b4o2b4o8b2o6b2o8b3obo5b3obo6b7o5b2o2b2ob2o2b2o5bo2bo2bo2bo8bobo5bo3bo3bo3bo5bobo6bobo4bo3bobobo3bo6bobo2bobo7bo9bo9b2o13b2ob2o5bobo12bo6b3o$2bo6bo13bo6bo9bo7b2o7bo9b5o3bo3b5o5b2o8b2o25bobo3bobo6bobo3bobo6b2o2b2o2b2o6b2o2b2o2b2o8bo8bo6bo3bob2o2bo3bob2o4b9o8b2ob2o6bo2bo8bo2bo2b3o3bo7b2o3b2o12bo2bo7bobo2bo3bo2bobo2bo2b2o4b2o2bo18bo2bobo2bobo2bo7bo2bo6bobo10b3o$bo4b4o13b4o4bo8bo2b4o4b4o2bo9bo2bo4bo4bo2bo7bo6bo8b2o8b2o8bo5bo8bo5bo7b2o2b2o2b2o6b2o2b2o2b2o7bobo6bobo11bo9bo4b2o3bo3b2o6b3ob3o23bobob2o2bo7bobo12bo6bo8bobo3bobo6b2ob6ob2o7bo2bo2bo4bo4bo4bo4bo8bo8b2o11b2o8b2o$2bobo3b5o7b5o3bobo7b2o2bo12bo2b2o8bo4bo3bo4bo8bo6bo7bo2bo6bo2bo4b2o9b2o2b2o9b2o5b2ob2ob2o8b2ob2ob2o12bo2bo10b2o3bo4b2o3bo4b2o3bo3b2o6b2o3b2o11bo2bo9b3obobo4bobobobobobo10b4o13b3o26bo3bobo3bo3bobo3b2o3bobo17b3o9bo4bo5b3o$2bob3ob2o2bo7bo2b2ob3obo6b4o6bo2bo6b4o6bobob2obobob2obobo7bobo2bobo7bo2bo6bo2bo4bo2bobobobo2bo2bo2bobobobo2bo3bobo6bobo4bobo6bobo5bo4bo2bo4bo9bo9bo5bo4bo4bo4bo2bo3bo2bo10b2o12bobo6bo2bo3bo2bo11b2o12b3ob3o24bob2o3b2obo8b4o20bo13bo5bo3bo2bo$3bobo2bob2o9b2obo2bobo6b5o2b4ob2ob4o2b5o4bo3bobo5bobo3bo7bob2obo8bo2bo6bo2bo6bo7bo6bo7bo9b4o12b4o8bo4bo4bo4bo6bo3bo5bo3bo2bobo3bo3bobo2bo3bo3bo3bo6bo6bo9b2o8bobo3bobo23bo2bo2bo2bo2bo6b2o4b2o9b2o3b2o6bo10bo15b4o7b4obo9bobo$b2o6b2o11b2o6b2o3b3obo4bo2b4o2bo4bob3o3bo2bobo7bobo2bo4bo4b2o4bo24b2o7b2o4b2o7b2o5b2o6b2o6b2o6b2o4b2obo10bob2o4b2o2bo5b2o2bo3b2o9b2o5b2o3b2o10bo4bo9b2o11bo3bo11bobo2bobo6b3o7b3o7bo4bo7bob2o2bo2b2obo29bo2bo8b3ob3o4b3o2bo$b3ob2o5bo7bo5b2ob3o8bo6b4o6bo9b5o7b5o5b2o8b2o20bo4b2o5b2o6b2o5b2o37bob2o8b2obo5bobo7bobo9b2ob2o6bobo2b3o2bobo8bo2bo25bo12bo3b2o3bo4bo3bo5bo3bo7bo2bo8bo5bo5bo31b2o9bo4b2o3b2o2bo$o4bo6bobobobobo6bo4bo13b6o19b2o5b2o40bobo21b3o41bo12bo11bo9bo18bobo2bo2bobo7b2o4b2o7bo12bo2bo2bo10b2o4b2o42bo5bo33b2o8b3o5b2o3bo$6bo3bo5bo5bo3bo21b2o39bo10bo55b3o4b3o6b3o4b3o27b3o7b3o6bo7bo5bo9bo26bo7b3o3b3o6bo2b2o4b2o2bo4bo9bo8bob2obo9bo2bobo2bo43bo6bob2o$obo9bo7bo9bobo11b2obo2bob2o17bo2bobo2bo8b2o10b2o15b3obo20bo2bo2bo8b3o2b3o8b3o2b3o9bo8bo9b2o8b2o7b2o5b2o10bo28b3o6b2obo5bob2o5bo2bo4bo2bo4b3o7b3o73b2o7bo$11b2o2bobo2b2o19b3o3bo2bo3b3o11bo4bo3bo4bo5b2o10b2o13bob2o2bo19bo7bo8bo4bo10bo4bo9bobo6bobo7bob2o6bob2o5b2o7b2o5b2obobob2o23b2o8bo5bo5bo6b3o4b3o6b2o7b2o9b4o11b2obob2o44bo6b2o$10b2o9b2o17bo4bob4obo4bo11b2obo5bob2o9bo6bo17b2obobo19bobo3bobo6bobo4bobo6bobo4bobo7bobo6bobo7b3obo5b3obo4b2o7b2o6b2o3b2o25bo2bo7b2obobob2o8bo8bo7bob2ob2obo10bo2bo12bo3bo43b2o5b4o$10b2o9b2o16bo5b2o4b2o5bo12bo7bo12bo4bo23bo18bobo5bobo5b3o4b3o6b3o4b3o7bobo6bobo8bobo7bobo6bo7bo5b3o5b3o24b2o10b2ob2o11b2o4b2o9bobobobo9b8o10b2ob2o38b2ob4o2b4ob2o$9b2o11b2o16bobobo8bobobo10bo3bo5bo3bo7b2o6b2o15b3obo23bo3bo9bo6bo8bo6bo28bobo7bobo19b5o3b5o35b2ob2o12b6o12bobo9b2o8b2o9b3o36b2o3bob2ob2obobo$8b4o9b4o13bobo4b3o2b3o4bobo8bo4bo3bo4bo6bo10bo14b5o21b3o3b3o6bobo4bobo6bobo4bobo7bo10bo41b2o3bo3b2o33b5ob5o9bob2obo10b3ob3o7bobobo2bobobo9b3o35bo2bo6b3o$8b5o7b5o10b3ob2o16b2ob3o4bo2bo2bo3bo2bo2bo4bo2b2o4b2o2bo14b2o37b2o8b2o4b2o8b2o8b2o4b2o10bobo7bobo25bo38bo2bo3bo2bo24bobo3bobo7bob2o2b2obo8b3ob3o32b2o4bo4b2o$11b2o7b2o15bo22bo10bo7bo9bo2b2o2b2o2bo15bo23bo9bo3b2obo2b2o2bob2o2b2obo2b2o2bob2o101bob2o5b2obo9b4o9bo9bo6b2o6b2o9bobobo31b3o4bo6bo$10bob2o5b2obo14bo2b2o14b2o2bo6bo2bo9bo2bo6bobo4bobo15bo26bo5bo5b2obobo2bobob2o2b2obobo2bobob2o5bo10bo19bo25bobo35bo13bo20b2o9b2o5b2o6b2o7bo3bo3bo30b2o5bo4bo$10bob2ob3ob2obo12bo26bo3bob2ob2o5b2ob2obo2bo2bo3b2o3bo2bo11b3o22b4o5b4o6bob2obo10bob2obo7b2o3bo4bo3b2o16bo64b2o3bo3bo3b2o8bo2bo8bo3bo3bo3bo6bo6bo8bo2bobo2bo28bobo7bobo2bo$13bob3obo15bo26bo2bo19bo4bo2b4o2bo15bo26bobobobo6b4o4b4o4b4o4b4o3bo3bobo4bobo3bo17bo23bobobo37bob2ob2obo9b2o4b2o9b3ob3o10bo4bo11b5o31b2o8bo3bo$11bo4bo4bo16b2o6b6o6b2o6bo2b3o7b3o2bo6bo6bo45bobo43bo8bo45bobobo39bo3bo10bo2b4o2bo8b2o3b2o6b2ob8ob2o9bo29b2o2b2o10bo$36b2obo5b8o5bob2o6bo3b2o3b2o3bo4b2o3bob2obo3b2o12bo23b3o2bobo2b3o4bobob2obobo6bobob2obobo7b2o8b2o43b3ob3o34bobobo3bobobo5b4o4b4o9b3o8b2o10b2o39bo2bobo11bo$39bobo2b4o2b4o2bobo13b2o3b2o9bo12bo12bobo22bobobobobobobo8b2o14b2o13bo6bo45bo2bo2bo34bo11bo6bo2bo2bo2bo8bob3obo5bo3b2ob2ob2o3bo5bo5bo27bob2o12bo$38bo3b2ob2o4b2ob2o3bo6bo3b2o7b2o3bo5bo8bo14bo25b3ob3ob3o6bobo2bobo8bobo2bobo6b3o2bo4bo2b3o42b5o40bobo15b2o13bo3bo6b2o2b3o2b3o2b2o5bob3obo28b2o11b2o$36b2o9bo2bo9b2o5bob4o5b4obo10b2o20bo26bobobo12b2o14b2o10bo3bo4bo3bo41bo7bo37b2ob2o12bo4bo12b3o8bob2ob4ob2obo6b2o3b2o26bo12b3o$35b3o22b3o6bo3bo3bo3bo9b8o43b2o3b2o9b2o2b2o10b2o2b2o9bobo6bobo45bobo58bo2bo13b3o8bo5b2o5bo6bob3obo35b6o$36bo8b2o4b2o8bo7bo3b2ob2o3bo9bobo2bobo45b3o11b6o10b6o9b3o6b3o90bo43b3o2bo2bo2b3o6b7o34bob2o2bo$35b3o6b3o4b3o6b3o9b3ob3o12bobo2bobo41bobo5bobo3b5ob2ob5o2b5ob2ob5o4b2o2bo4bo2b2o41b4ob4o36b2obob2o25b2obo3bob2o4bo5b2o5bo7b2ob2o34b3o2bo$35bobo3b5o6b5o3bobo5b2obo7bob2o7bo3b2o3bo45bo12bo4bo10bo4bo63bo2bobo2bo39bo15b4o9bo4bo4bo5bobo2b2o2bobo47bo$38bo20bo11bo7bo10b3o4b3o41b2obobob2o7b3o2b3o8b3o2b3o9bo8bo44bobobobo38bobobo13bo2bo10bo3bo3bo7bobo4bobo49bobo$37b3obo3bo6bo3bob3o10bo7bo9bo2bob2obo2bo39b2obo3bob2o3b6o2b6o2b6o2b6o7bobo2bobo45b3ob3o36bobo3bobo11bo2bo9bo9bo5bo10bo46bo2b2o$36b4o18b4o6b4o2bobo2b4o6b3o6b3o40b2obobob2o4b3o8b3o2b3o8b3o7bobo2bobo43b3o5b3o36b5o11bo6bo7bo9bo5b2o8b2o$36b4o5b2o4b2o5b4o6bobobob3obobobo5b2ob2o4b2ob2o39bo7bo5b2o8b2o4b2o8b2o9bo4bo44b2obo3bob2o36bo3bo10bobo4bobo9bo3bo8b2o8b2o$38b2o4b3o4b3o4b2o8bo3bobobobo3bo75b2o2b2o10b2o2b2o10b4o2b4o42b2obo3bob2o36bo3bo28bo5bo8bo8bo$38bobo3b3o4b3o3bobo10bo4bo4bo61bo5bo10bo2bo12bo2bo11b4o2b4o44bo5bo37b3ob3o13b2o11bo7bo8b2o4b2o$38bob2o4bo4bo4b2obo8bo2bo3bo3bo2bo58bobo3bobo8b6o10b6o11b2o4b2o46b5o54bobo4bobo24bob4obo$38bob2o2b2obo2bob2o2b2obo8b5o2bo2b5o59b2o3b2o8bo2b2o2bo8bo2b2o2bo11bo4bo44bob3ob3obo38bo15bo2bo26b2o2b2o2b2o$37bo22bo5bo2b2o4bo4b2o2bo71b2o6b2o6b2o6b2o59b6ob6o37bo13bo6bo25bo6bo$43bob2o4b2obo11b2o15b2o73bo4bo10bo4bo12bo4bo44bo9bo38bo14bo4bo26bo6bo$36b2o6bo2bo2bo2bo6b2o11b2ob2o77b4o4b4o4b4o4b4o8bobo2bobo92bo12b2o6b2o26b4o$43bo2b6o2bo11b2o5bobobo5b2o70b2o8b2o4b2o8b2o7bo2bo2bo2bo139bob2obo$38bo6bobo2bobo6bo11bo7bo76bobo4bobo6bobo4bobo10bo4bo140bo2b2o2bo$36b2o7bobo2bobo7b2o4b2o3bo7bo3b2o71bo8bo6bo8bo6bobo8bobo138bo2bo$35b3o5bo2bo4bo2bo5b3o93b2o6b2o6b2o6b2o5bo2bo8bo2bo$36bo8b2o4b2o8bo4b2o4b7o4b2o69b2o10b2o2b2o10b2o3bo3bo6bo3bo$35b3o4bo2bobo2bobo2bo4b3o4bo3b2o5b2o3bo74bo4bo10bo4bo$36bo5b3o8b3o5bo4b2o2b3obobob3o2b2o72b3o2b3o8b3o2b3o7b2o10b2o$43b2o8b2o12bo2b2o7b2o2bo70bobo8bobo2bobo8bobo3bobob2ob2ob2obobo$43b3o6b3o12bob4ob3ob4obo70bo3bo4bo3bo2bo3bo4bo3bo3bobo4b2o4bobo$43b3o6b3o18b5o77b2ob6ob2o4b2ob6ob2o3b5o3b2o3b5o$43b2o8b2o104b4o12b4o7b2o3b2o4b2o3b2o$71bo2bobo2bo110b2obo2bob2o$70b3o5b3o75b3ob2ob3o6b3ob2ob3o9bo6bo$72b7o77b2obo2bob2o6b2obo2bob2o$72b2o3b2o77bo3b2o3bo6bo3b2o3bo$157bob4obo8bob4obo$75bo79bo2b6o2bo4bo2b6o2bo$156bob2o2b2obo6bob2o2b2obo$159bo2bo12bo2bo$156b3o4b3o6b3o4b3o$156b2o6b2o6b2o6b2o$157bo6bo8bo6bo$156b3o4b3o6b2o6b2o$157bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 3430 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)

Notes

  1. ↑ was found by Josh Ball on November 5, 2015[2], width 26 has been disproven with qfind but it crashes at 28, so not guaranteed to be of minimal length, but is of minimal width so counts as a green
  2. ↑ 17*183 partial
    2b2ob2o3b2ob2o$2b2o3bobo3b2o$2b3o7b3o$4bob2ob2obo$4b2o5b2o2$4bo7bo$4b2obobob2o$2bo11bo$bo2bobobobobo2bo$6bo3bo$3bobobobobobo$3b3o5b3o$2bob9obo2$2bo11bo$3b2o7b2o$5b2obob2o$4bo7bo$3bo2b5o2bo$4bo2bobo2bo$5b3ob3o$5b2o3b2o$4b2o5b2o$3bo9bo$3bo9bo$b2o3bo3bo3b2o$
    3ob2obobob2ob3o$4bo7bo$2bo11bo$2b2obo5bob2o$bo2b9o2bo$o3b3obob3o3bo$4b2ob3ob2o$7b3o$7b3o$7b3o$3b2o3bo3b2o$3bob2o3b2obo$4bobo3bobo$2bobo2bobo2bobo$2bobobo3bobobo$5bo5bo$2bo11bo$7b3o2$5bo5bo$6bo3bo$5bo2bo2bo$4bo2bobo2bo$3b2ob2ob2ob2o$6bobobo$2bo3b2ob2o3bo$2b
    2o9b2o$6b2ob2o$8bo$7bobo$4b3o3b3o$4bobo3bobo$4bo2bobo2bo$5b7o2$4bobobobobo$3b2o7b2o$2bo5bo5bo$obo3bo3bo3bobo$2bo11bo$2obo9bob2o$3b2o7b2o$3b3o5b3o$6b2ob2o3$3b3o5b3o$3b2o7b2o$2b2o3b3o3b2o$2b2o2bo3bo2b2o$7b3o$4bobo3bobo$3b3o2bo2b3o$3bobo5bobo$2bo2bo5bo2bo$bo
    2b3o3b3o2bo$o2bo2bo3bo2bo2bo$bo13bo2$obo11bobo$bob2o7b2obo$bo3bo5bo3bo$4b2o5b2o$3b2obo3bob2o$2bobob2ob2obobo$4b3o3b3o$4bo2bobo2bo$3bobobobobobo$3b2obo3bob2o$6b5o$5bo5bo2$5bo5bo$4bobo3bobo$4b2o5b2o2$7b3o2$5b2o3b2o$7bobo$4bo7bo$3bo4bo4bo$3b2o2b3o2b2o$8bo$7b
    3o$4b3obob3o$3bo2bo3bo2bo$5bo5bo$b2o11b2o$b3o9b3o$bo2bo2bobo2bo2bo$2b2ob3ob3ob2o$4b2o2bo2b2o$4b3o3b3o$5b2o3b2o$5b2o3b2o$6bo3bo$5b2o3b2o$5b2o3b2o$3bo9bo$6b2ob2o$2bo2b3ob3o2bo$bo2bob2ob2obo2bo$bobo3b3o3bobo$2b2o3b3o3b2o$4bob2ob2obo$4b3o3b3o$6bo3bo$4b3o3b3o$
    3b2ob2ob2ob2o$3b5ob5o$2bob4ob4obo$4bo2bobo2bo$5bo2bo2bo$3bo3bobo3bo$4bobo3bobo2$4bob5obo$6b2ob2o$4b4ob4o$2bob3o3b3obo$2bobobobobobobo$4b9o$3b2o7b2o$2b2ob2o3b2ob2o$2b3o2bobo2b3o$4bobo3bobo2$6bobobo2$6bo3bo$2b2obo5bob2o$8bo$2b2o4bo4b2o$bo2bobobobobo2bo$o2b3o
    b3ob3o2bo$4o9b4o$bob2o7b2obo$5b2o3b2o$2b2o3bobo3b2o$bo3bobobobo3bo$o3b4ob4o3bo$4bobo3bobo$bo2b2o5b2o2bo$2b3o7b3o$4bob2ob2obo$4bo7bo$3bo4bo4bo$bo2bo2bobo2bo2bo$bobo3bobo3bobo$2b2obobobobob2o$2bo11bo$3b2o2b3o2b2o$2bo2b7o2bo$o2b2obobobob2o2bo$ob5o3b5obo!
    seems promising
  3. ↑ 11*70 partial
    4bobo$3bo3bo$3bobobo$3b2ob2o$5bo$3b2ob2o$bobo3bobo$2bobobobo$4bobo$4bobo$3bo3bo$2b2o3b2o$3b5o2$3b5o$2bo5bo2$4bobo2$3bo3bo$3bobob
    o$3bobobo$3bobobo$5bo$2bo2bo2bo$2bo5bo$3obobob3o$obo5bobo$3bo3bo$b2o5b2o$2b2o3b2o$3b5o$3bo3bo$5bo$2b2o3b2o$2bob3obo$3bo3bo$4bobo
    $bobo3bobo$ob2obob2obo$3bo3bo$2b2o3b2o2$4bobo$b4ob4o2$2bo5bo2$2b2obob2o$bo2b3o2bo$2o7b2o$3bo3bo2$5bo$2o7b2o$b4ob4o$4b3o$bo2b3o2b
    o$3bobobo$3bobobo$bobo3bobo$3ob3ob3o$4b3o$2bo2bo2bo$obo5bobo$bob2ob2obo2$2bo5bo$b3o3b3o$b9o!
    longest of all symmetries

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 2.3 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

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