I had long assumed that openmp gcc command in fact uses Clang albeit named misleadingly
as such, having used Homebrew, I am now able to compile qfind
all links included are to the minimal spaceship found (first outputted, only minimal by bounding box, not population), however (where a table cell is split) the second subrow excludes members of a subset of the symmetry and those comprised of two smaller noninteracting spaceships, choosing the first nontrivial output instead to maximise information content
note that alike its gfind qfind is restricted to orthogonal searches, however it is very fast at them
you may add your own results (disproofs for lower bounds and spaceship examples for upper), however I think (to avoid confusion) I would like others to include citations of forum posts in which they explicitly state their results, so that those uncited can be attributed to me by default without having to go through the page's history
no gutter column is included for rules that are not gutter-preserving
thank you very dearly to ascendantDreamweaver for using a 48-core computer with 512GB of RAM to which they had access, for increasing logical widths for 2c/5 and 3c/7 to 12 in the first three rules (most notably finding the thinnest (and currently smallest known) 2c/5 and 2c/7 in B36/S245)
(I like the name a lot for some reason)
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
(1,0)c/2
6
13
14
(1,0)c/3
6
11 [n 1] 6
6
(1,0)c/4
4
9
10
12
(2,0)c/4
7
13
14
(1,0)c/5
8
11
12
(2,0)c/5
12
19
20
(1,0)c/6
9
13
14
(2,0)c/6
7
11
10
(3,0)c/6
7
13
14
(1,0)c/7
9[n 2]
13
14
(2,0)c/7
11 [n 3] 17 [n 4] 16
(3,0)c/7
12
23
24
(1,0)c/8
6
11
12
(2,0)c/8
7
9
12
(3,0)c/8
9
17
18
(4,0)c/8
7
13
14
(1,0)c/9
5
9
10
(2,0)c/9
6
11
12
(3,0)c/9
7
11
12
(4,0)c/9
9
17
18
(1,0)c/10
5
9
10
(2,0)c/10
6
11
12
(3,0)c/10
7
13
14
(4,0)c/10
8
15
16
(5,0)c/10
7
13
14
(1,0)c/11
5
9
10
(2,0)c/11
6
11
12[n 5]
(3,0)c/11
7
11
12
(4,0)c/11
8
15
14[n 6]
(5,0)c/11
9
17
18
(1,0)c/12
5
9
10
(2,0)c/12
5
9
10
(3,0)c/12
5
9
10
(4,0)c/12
6
9
10
(5,0)c/12
7
13
14
(6,0)c/12
7
13
14
(4,0)c/14
5
9
12
I found the 4c/14 with ikpx2 as a new speed before performing qfind searches up to width 10 that proved its minimality, then found the true-period 2c/7's
I also found a (1,1)c/5 , (2,1)c/5 and (1,1)c/6 with ikpx2, each the first of its velocity as well, also shown in this table in spite of nonminimal width
x = 797, y = 182, rule = B36/S245
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#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 WIDTH 3220 HEIGHT 742 ZOOM 4 ]]
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all partials for c/2 seem to be single-row irrespective of period, I conjecture there are no c/2's in this rule
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
Gutter-preserving
(1,0)c/3
11
21
22
23
20 (JLS)
(1,0)c/4
11
17
22
17
(1,0)c/5
10 < w ≤ 18
19
20 < w ≤ 24
21
(2,0)c/5
12
25 [n 7] 24 < w ≤ 34
25
(1,0)c/6
10
17 < w ≤ 21
18
19
(2,0)c/6
10
19
20
21
(1,0)c/7
8
13
14
15
(2,0)c/7
9
17
18
19
(3,0)c/7
12
23
24
25
(1,0)c/8
7
13
14
15
(2,0)c/8
8 < w ≤ 10
17 [n 7] 16
17
(3,0)c/8
10
19
20
21
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
(1,0)c/3
11
style="background: #ffa0a0;" | 21
style="background: #ffa0a0;" | 22
13 (JLS)
(1,0)c/4
10
15
16
(1,0)c/5
9
17
18
(2,0)c/5
10
17
20
(1,0)c/6
9
15
16
(2,0)c/6
10
19
20
(1,0)c/7
8
13
14
(2,0)c/7
9
17
18
(3,0)c/7
11
21
20
(1,0)c/8
7
11
12
(2,0)c/8
8 < w ≤ 10
13
14
(3,0)c/8
10
19
20
(3,0)c/15
4
9
8
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
Gutter-preserving
(1,0)c/3
11
21
22
23
(1,0)c/4
10
17
22
17
(1,0)c/5
10
19
20 < w ≤ 24
21
(2,0)c/5
12
25 [n 7] 24 < w ≤ 34
25
(1,0)c/6
10
17 < w ≤ 21
18
19
(2,0)c/6
10
19
20
21
(1,0)c/7
8
13
14
15
(2,0)c/7
9
17
18
19
(3,0)c/7
12
23
24
25
(1,0)c/8
7
13
14
15
(2,0)c/8
8 < w ≤ 10
17 [n 7] 16
17
(3,0)c/8
10
19
20
21
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
(1,0)c/2
12
23
24
(1,0)c/3
10
21
22
(1,0)c/4
10
19
20
(2,0)c/4
11
21
22
(1,0)c/5
9
17
18
(2,0)c/5
10
19
20
(1,0)c/6
8
15
16
(2,0)c/6
10 < w ≤ 15
21
20
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
Gutter-preserving
(1,0)c/2
11
11
24
11
15
24
(1,0)c/3
11
11
20
11
11
17
(1,0)c/4
9
9
16
13
(2,0)c/4
5
11
12
11
14
13
(1,0)c/5
8
17
18
17
20
19
(2,0)c/5
11
19
20 < w ≤ 26
21
(1,0)c/6
10
17
18
19
(2,0)c/6
10
17
20
19
(3,0)c/6
10
15
20
19
(1,0)c/7
8
15
16
17
(2,0)c/7
9
17
18
19
(3,0)c/7
10
19
20
21
(1,0)c/8
7
13
14
15
(2,0)c/8
8
15
16
17
(3,0)c/8
10
19
20
21
(4,0)c/8
7
11
14
13
x = 495, y = 70, rule = B34kz5e7c8/S23-a4ityz5k
76bo9b3o6b3o5b3o3b3o5b3o5b3o5b3o11b3o5b3o4b3o3b3o4b3o4b3o4b3o3b3o7b3o14b3o6b3o3b3o8b3ob3o13b3o2b3o7b3o7b3o9b3o2b3o13b3ob3o11b3o7b3o8b3o2b3o9b3ob3o10b3o6b3o11b3o4b3o7b3o5b3o7b3o10b3o8b3o3b3o$6b3o5b3ob3o5b3o5b3o5b3o14b3o5bo7b3o8bobo6bobo4bo2bo3bo2bo3bo2bo5bo2bo4bob4o5b4obo5bo2bo3bo2bobo2bo4bo2bo2bo2bo3bo2bo3bo2bo6bob2o12b2obo6bob2ob2obo7b2obobob2o11bo8bo5bo2b3o3b3o2bo7bo8bo11b2obobob2o11bo9bo11b4o13bobo13bo8bo13bo4bo2b2o5b2o2bo3bo2b2o5bo2b2o8b2o2bo4bo3bo5bo3bo$6bo2bo3bo2bobo2bo3bo2bo5bo2bo3bo2bo14bo2bo3b3o4bo2bo2bo6bob2o4b2obo6b2o3b2o4bo3bob3obo3bo2b2o2bo2bo3bo2bo2b2o4bob2o3b2o5b2o4bo8bo5b2o3b2o8bo2b2ob2o4b2ob2o2bo5b2o2bobo2b2o4b2obo5bob2o8b2o8b2o5bo3b2ob2o3bo7b2o8b2o8b2obo5bob2o27bo2bob2obo2bo5bo2bo3bo2bo21bo7bo7bo2bo7bo2bo3bo2bo6bo2bo10bo2bo2b3o13b3o$2b3obo3bobo3bobo3bobo3bob3obo3bobo3bob3o6b3obo3bob2obo4b3ob3o5bobob2o2b2obobo6bo3bo5bo2b2obobob2o2bo2bobobo3bobo3bobobo3bo7bo7bo6bo4bo8bo3bo9b3o4b2o2b2o4b3o5bobo5bobo2b2obobo5bobob2o3b4obob4obob4o7bobo9b4obob4obob4o3b2obobo5bobob2o4b2o3b2o3b2o3b2o4b3o6b3o5b3o5b3o6b2o3b2o5bo2bo7bo2bo4b2o3bo3bo3b2o3b2o3bo4b2o3bo6bo3b2o4bo13bo$bo2bob2o2bobo2b2ob2o2bobo2b2obobob2o2bobo2b2obo2bo4bo2bob2o2bob3o5bobobobo6bo3bo2bo3bo4bo9bo4b2o2bobo2b2o6bobobobobobobobo17bo21bo9bo7bob2o3bo2bo3b2obo24bo5bo8bo3b2o2b2o2b2o3bo3b2o2bobo2b2o5bo3b2o2b2o2b2o3bo8bo5bo9bo2bo2bo3bo2bo2bo2b2o12b2ob2o11b2o4bo2bo2bo8bo7bo9b2o7b2o7b2o8b2o10b2o6bo2bo7bo2bo$o3bo2b2o5b2o3b2o5b2o2bobo2b2o5b2o2bo3bo2bo3bo2b2o4bobo17bobobo2bobobo6bo5bo5bobo2bobo2bobo5bob2o2bobo2b2obo15b5o21bo5bo10b4o2bo2bo2b4o22b2o2b2ob2o2b2o5bo3bo8bo3bo6b2ob2o8bo3bo8bo3bo5b2o2b2ob2o2b2o7bo3bo5bo3bo5bo10bo5bo9bo5b2o5b2o4bobo9bobo5b3o7b3o5b3o7b3o10b3o5bo4b2ob2o4bo$o2b2o2bobo3bobo3bobo3bobo2bobo2bobo3bobo2b2o2bo2bo2b2o2bobo24b2ob4ob2o7bo5bo7bob2ob2obo6b2ob2ob2ob2ob2ob2o40bo5bo10bo14bo20bob3o2bobo2b3obo3bo2b2o8b2o2bo5b2o3b2o7bo2b2o8b2o2bo3bob3o2bobo2b3obo58bo7bo23bo3b3ob3o3bo3bo3b3o3bo3b3o4b3o3bo4bo5bobo5bo$2b2o23bob2ob2obo11b2o6b2o29b5o2b5o5b2o5b2o5bobobobobobo6bob2ob2ob2ob2obo15bo3bo20b2o5b2o7b2o3b4o2b4o3b2o19bo5bobo5bo25bo2bo3bo2bo27bo5bobo5bo4b2obobob2ob2obobob2o34bo2b2obob2o2bo2bo2bo7bo2bo4bo13bo3bo9bo16bo4b2o2bobobobo2b2o$bobo22bobobobobobo10bobo4bobo29b2o8b2o5b2o5b2o5bob2o3b2obo7b3o7b3o16bo3bo20b2o5b2o7b2obo5b2o5bob2o21b2o7b2o8bo12bo5bo2bo3bo2bo7bo12bo8b2o7b2o9bobo7bobo40b2obob2o5b2obo7bob2o53b3ob2obobob2ob3o$26bob2o3b2obo9b2o8b2o45bo7bo7bo5bo9b2o9b2o16b2ob2o20bo7bo7b2o2b2obo4bob2o2b2o20b2o9b2o25bo3bo3bo3bo27b2o9b2o7b2ob2o5b2ob2o37bobo2bo2bobo5b2o7b2o19bo5bo13b2o4b2o9b2o4bobo4b2o$28bo5bo10bo2bo6bo2bo28b3o4b3o5bo2b2ob2o2bo6bo5bo10bo9bo19bo21bo2b2ob2o2bo10b3o6b3o62b3o7b3o7b2o8b2o30bo9bo40bo7bo6bo9bo19b2o3b2o31bo2bobobobo2bo$28bo5bo9b2o12b2o28bo6bo6b3obobob3o5bobo3bobo7b3o9b3o14b7o18b3obobob3o47bo9bo29bo5bo9bobo8bobo8bo9bo60b2o7b2o5b2o7b2o20b2ob2o15bo4bo11b4obobob4o$27bobo3bobo6b2obob2o6b2obob2o41b2obobob2o8bo3bo13b3ob3o17b2o5b2o18b2obobob2o10b4o6b4o24bo9bo26bo2bo5bo2bo6bob2o6b2obo8bo9bo7b2o3b2o3b2o3b2o37b4ob4o6bo9bo21bobo14bobo4bobo9b2obobobobob2o$27bobo3bobo7bobo12bobo41bo3bobo3bo7b2ob2o13bobobobo17b2ob3ob2o17bo3bobo3bo7b3o12b3o20bo13bo23b2o3bo3bo3b2o3bo3bobo4bobo3bo4bo13bo6bo3bo5bo3bo38bobo3bobo7b4ob4o21bo3bo12bo3bo2bo3bo9bo3bobo3bo$41b3obobo8bobob3o39bo2bo3bo2bo8bobo14bobobobo18b2obob2o18bo2bo3bo2bo6b2o16b2o20bo11bo25b4obobob4o4bo3b3o4b3o3bo5bo11bo5b4ob4ob4ob4o40bo11bo2bobo2bo18b2o2bobo2b2o8b2o2b2o2b2o2b2o7bobob2ob2obobo$40bo8bo4bo8bo39b3o3b3o8bo3bo15bobo21b5o20b3o3b3o7b2o16b2o21bo9bo26bo4bobo4bo6b2obobo2bobob2o8bo9bo59b2o9b2o7b2ob2o19bo11bo7b3o2bo2bo2b3o5bobo2b2o3b2o2bobo$44b4ob2o2b2ob4o44b2o3b2o7b2o5b2o63b2o3b2o8b2o16b2o58bo11bo11bo2bo34bo9bo37b2o3bobobo3b2o6bo3bo18bo6bo6bo25bo5bo3bo5bo$42bo3b3obo2bob3o3bo44bobo9bo7bo38b3o24bobo9bo20bo20b2o7b2o26bob2o5b2obo11bo2bo12b3o7b3o57b2o11b2o4b2obobob2o17bo11bo8bo10bo$49b2o2b2o48bob2ob2obo6bo7bo62bob2ob2obo9bo14bo60b4ob3ob4o9bo6bo11b2o7b2o8bo52b2o5b2o7b2obobob2o18b3o5b3o9bo10bo6b2ob2o7b2ob2o$47bob2o2b2obo44b2o2b2ob2o2b2o4b2obobob2o60b2o2b2ob2o2b2o3bo22bo18bo11bo27bo7bo12bo4bo11bo11bo8bo10bo40b2o5b2o9b2ob2o20bo2bo3bo2bo9bo10bo$101bo4bobo4bo8bo64bo4bobo4bo3b2ob2o14b2ob2o19b3o5b3o49b2o2b2o9b2o13b2o5bobo50bo7bo7bo7bo19b3o3b3o$121b3o79bobobo14bobobo21b2o3b2o50bob4obo8b2ob2ob2ob2ob2ob2o5bob2o48bo9bo7bo5bo20b3o3b3o$103bo2bobo2bo10bo66bo2bobo2bo5bo22bo22bo3bo35bo15bo6bo9b4o2bobo2b4o10bo45b2o11b2o4b3o3b3o$104bobobobo9bobobo65bobobobo7bobo16bobo19b3o2bobo2b3o29b2ob2o14bob2obo12bo3bobo3bo9b5o46b3o5b3o7b2o3b2o$104b3ob3o8b7o64b3ob3o9b2o14b2o20bob3o5b3obo28b2ob2o13b3o2b3o12bo7bo12bobo44b2o11b2o$103b2obobob2o7b2obob2o63b2obobob2o5bob2o16b2obo17bobob3ob3obobo27bobobobo12b2o4b2o11bo9bo60bo2bo3bo2bo5bo2bo3bo2bo$106bobo10bobobobo63bob2ob2obo4b2obo18bob2o15b2o4bobobo4b2o26bo5bo30b6ob6o57bo13bo7bobo$105b2ob2o8bo2bobo2bo63bobobobo6bobo18bobo16bo15bo26bo5bo33bobobobo61b2ob2o3b2ob2o5b4ob4o$105bo3bo80bobobobo6b3obo14bob3o17bo13bo28b2ob2o31bob2obobob2obo58b3obo3bob3o8bobo$103b3o3b3o77bo2bobo2bo6bobo16bobo58b2o2bobo2b2o29b2o2bobo2b2o61b2o5b2o5bo2bobobobo2bo$103bo2bobo2bo79b2ob2o8b2o18b2o58b5ob5o31bobobobo64bo5bo5bo3bobobobo3bo$103bo7bo80bobo9bo2bo14bo2bo56b2o4bobo4b2o25b3obobobobob3o58b11o3bobo2bo3bo2bobo$191b2ob2o11bo14bo58bo3b4ob4o3bo97bob7obo6bo7bo$105bo3bo95b3o14b3o56b2ob2o2bobo2b2ob2o23bo6bobo6bo62bo8bo2bo7bo2bo$285b4ob4o27bo2bobobobobobo2bo74bo7bo$207bo14bo62bo7bo27bo3b2obobob2o3bo$206b3o12b3o64b3o35bobobobo77b3o7b3o$205b5o10b5o62b5o36bobo82bo5bo$206b3o12b3o100bo3bobo3bo76bo9bo$206bobo12bobo63bo3bo31b2ob3ob3ob2o$323b2o9b2o75b2ob2ob2ob2o$207bo14bo62b3o3b3o29b2o9b2o74bo4bobo4bo$207b3o10b3o62bo3bo3bo29b2o9b2o73bo2b2obobob2o2bo$209bobo6bobo64bo2b3o2bo29b5o3b5o$207b5o6b5o62b2o5b2o29bo2b3ob3o2bo74bo11bo$207bo14bo64b5o29b2o2b2obobob2o2b2o$208b5o4b5o66bobo30b3ob2o5b2ob3o70b2o13b2o$208b2o2bo4bo2b2o99b2o13b2o71b2o11b2o$212b2o2b2o195b3ob3o$213bo2bo195b2obobob2o$412b2obobob2o$214b2o197b3ob3o$408b3ob2obobob2ob3o$411bob3ob3obo$410bobob2ob2obobo$409b6o3b6o$408bo5bo3bo5bo$408bobo11bobo$409b2o11b2o$410bo2b2o3b2o2bo$409bob2o2bobo2b2obo$409bobo3bobo3bobo$410b4obobob4o$411bobobobobobo$412b2obobob2o$413bobobobo$412b2obobob2o$411b2ob2ob2ob2o$412b2obobob2o$413b3ob3o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 WIDTH 2030 HEIGHT 350 ZOOM 4 ]]
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c/2 up to width 14 reports no partial results are found in any symmetry
Velocity
Asymmetric
Odd-symmetric
Even-symmetric
(1,0)c/3
13
19 [n 8] 20
15 [1] (JLS)
(1,0)c/4
10
21 [n 9] 20
(1,0)c/5
9
15
14
(2,0)c/5
12
23
24
(1,0)c/6
10
19
20[n 10]
(2,0)c/6
10
19
20
(1,0)c/7
9
15
16
(2,0)c/7
10
19
20
(3,0)c/7
11
21
22
(1,0)c/8
7
13
14
(2,0)c/8
8
15
16
(3,0)c/8
11
19
20
notes
↑ non-monotonic!
↑ 9*654 partial4b3o$3bob3o$4bo$3bo3b2o$4b2o$6b3o$3b2obo$2bob2obo$2bob2o$5obo$3o3bo$2bob3o$3bob2o$b2ob2o$o2b3o$3b3o$2bobo$bob3o$4b2obo$5b3o$5bobo$o2b4o$b2o2bo$bobo2$2b3o$3bo$2bob3o$5b2o$7bo$5bobo3$3b ↑ found by the dreamweaver, who specified that it is not guaranteedly minimal-length for a width-11 since the search split and only one branch was necessary to search to find it, but shows that 11 is the minimum10 (10*65 ) partial5bobo$5b3o$4bob2o$2b4o2bo$2b4o$6bobo$9bo$5bobo$4b4o$3bobobo$3b2o$5bobo$5b4o$4bobo$4b2obobo$4b2o$4b5o$3b2o$4bo3bo$2b2ob4o$2bobob2o$3bobobo$3b2o$2b2
↑ this spaceship (with a forked tail) is in fact shorter, but higher-population↑ 12*70 partial5b2o$4b4o$5b2o$4bo2bo$4bo2bo$3b6o$2b2o4b2o$3b6o$3b2o2b2o$3b6o$4b4o2$4b4o$4bo2bo$5b2o$3b6o$4bo2bo$4bo2bo$4b4o$4bo2bo$4bo2bo$5b2o$4b ↑ 12*48 partial4b4o$2b8o$4b4o$b2obo2bob2o$3bo4bo$3bob2obo$2b2o4b2o$2b2o4b2o$3b2o2b2o$4bo2bo$3b6o$5b2o$2bo6bo$2o8b2o$bobo4bobo2$3b2o2b2o$b2o6b2o$2bo6bo$3bo4bo$bo3b2o3bo2$2o8b2o$12o$b10o$2b2o4b2o$ 14*54 6b2o$4b2o2b2o$3b8o$3bobo2bobo$3b2o4b2o$4b6o$4b6o$4b2o2b2o$4b2o2b2o$5b4o$5b4o$4bo4bo$2b3o4b3o$2b2o6b2o$2b3o4b3o$3b2o4b2o$3b3o2b3o2$3bo6bo$b2obo4bob2o$b4o4b4o$2ob2o ↑ 7.0 7.1 7.2 7.3 not guaranteed to be of minimal height since my laptop can only disprove 23, 25 causes segfault, will have to use other computer
↑ this one has a smaller population but a backspark that increases its bounding box↑ not sure of minimality of length
↑ 20*46 partial7b6o$5bob2o2b2obo$3bobob6obobo$bob3ob6ob3obo$bob14obo$ob4obob2obob4obo$b5ob6ob5o$b18o$b4obo6bob4o$3b3o8b3o$bobobo8bobobo$bob3o8b3obo$2b2o5b2o5b2o other such tables alike this