User:DroneBetter/qfind results

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I had long assumed that openmp was simply not yet supported on macOS until I learned that the gcc command in fact uses Clang albeit named misleadingly

as such, having used Homebrew, I am now able to compile qfind, and finally create tables of bounds upon spaceship widths (which I will do here :-)

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 qfind is restricted to orthogonal searches, however it is very fast at them

however, its gfind ancestor of yore is usually used for diagonal and glide-symmetric searches; inputs to find glide-symmetric spaceships are in logical (halved) period rather than actual, this table uses actual for consistency with others

you may add your own results (disproofs for lower bounds and spaceship examples for upper), however (to avoid confusion) I would like others to include citations of forum posts in which they explicitly state their results, so that authorship can be determined without having to go through the page's history; I also sometimes look for old coinciding discoveries that occurred before this table's beginning to cite

no gutter column is included for rules that are not gutter-preserving, even if sometimes spaceships within them happen to be

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 four rules (except for B36/S12, in which 2c/5's are small enough that I managed on my own)

unless stated otherwise,

  • all results labelled as JLS are due to wwei23

non-orthogonal spaceships are of course found with other programs, widths are measured with the scheme of a line of cells parallel to the diirection of movement replacing a column (ie. half-diagonals (1√2-units) for diagonal spaceships, 1√5-units for knightships)[1]

per dreamweaver, ikpx2 (upon moving onto the next width) is exhaustive (and in fact a negative result means slightly more than with other programs, since it allows slices to be joined at an offset), however note that it is incapable of symmetry-reduced odd-period diagonal searches

per Merzenich, LLSSS always finds the shortest possible spaceship in a given search, equivalently to running qfind with -h 0 at all times

sqrtulous rules

(I like the name a lot for some reason)

ascendantDreamweaver did the searches that led to finding the asymmetrical 2c/5 and 2c/7, as well as obtaining the present best lower bounds for 3c/7, 3c/8 (except for the 3c/8 even, which they found!), 2c/9 asymmetric, 4c/9, 5c/10 asymmetric and 5c/11

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 6 13 14
(1,0)c/3 6 11[n 1][n 2] 6
6
(1,1)c/3 13[n 3] 13[n 4]
(1,0)c/4 4 9 10
12
(2,0)c/4 7[n 5] 13[n 6] 14[n 7] 13 (gfind)[n 8] 14[n 9]
(gfind)
(1,1)c/4 10[n 10] 17[n 11] 12[n 12]
(1,0)c/5 8[n 13] 11[n 14] 12[n 15]
(2,0)c/5 12[n 16] 19[n 17] 20[n 18]
(1,1)c/5 12[n 19] 15[n 20]
(2,1)c/5 w ≤ 67
16 horizontally
(LLSSS)
(1,0)c/6 9 13 14[n 21]
(2,0)c/6 7[n 22] 11[n 23] 10 11 (gfind) 12 (gfind)
(3,0)c/6 7 13 14
(1,1)c/6 11[n 24] 17[n 25] 16[n 26]
(2,2)c/6 10 (gfind)
11 (rlifesrc)
12 (LLSSS)

13[n 27]

13 20 (gfind)
(2,1)c/6 w ≤ 58[9]
(1,0)c/7 9[n 28] 13 14
(2,0)c/7 11[n 29] 17 16[n 30]
(3,0)c/7 12
13 (LLSSS)
23 24
(1,1)c/7 7 7
6
(2,2)c/7 8 (gfind)
12 (ikpx2,LLSSS)
13 (rlifesrc)[n 31]
15 (gfind)
23 (rlifesrc)[n 32]
(1,0)c/8 7[n 33] 13[n 34] 14[n 35]
(2,0)c/8 7 9[n 36]

12

9[n 37]
(gfind)
10[n 38]
(gfind)
(3,0)c/8 10[n 39] 19[n 40] 20
(4,0)c/8 7 13 14 13 (gfind) 14 (gfind)
(1,1)c/8 7 (gfind)
9 (rlifesrc)
11 (gfind)
13 (rlifesrc)
12[n 41]
(2,2)c/8 6 (gfind)
8 (LLSSS)
11 (gfind)
13 (LLSSS)
15 (rlifesrc) 10 (gfind)
(1,0)c/9 7[n 42] 11[n 43] 12[n 44]
(2,0)c/9 8[n 45] 15[n 46] 16[n 47]
(3,0)c/9 7 11 12
(4,0)c/9 12 23[n 48] 24[n 49]
(1,1)c/9 4 (gfind)
5 (rlifesrc)
7 (gfind)
9 (rlifesrc)
(2,2)c/9 5 (gfind)
9 (rlifesrc)
9 (gfind)
15 (rlifesrc)
(3,3)c/9 6 (gfind)
10 (LLSSS)
11 (gfind)
(1,0)c/10 6 11[n 50] 12[n 51]
(2,0)c/10 7[n 52] 11 12 9 (gfind) 10 (gfind)
(3,0)c/10 8 13 14
(4,0)c/10 9 17 18 11 (gfind)
13 (rlifesrc)[n 53]
12 (gfind)
(5,0)c/10 8 13 14
(1,1)c/10 5 (gfind) 7 (gfind) 8 (gfind)
10 (rlifesrc)
(3,3)c/10 6 (gfind) 11 (gfind) 10 (gfind)
18 (rlifesrc)
(1,0)c/11 5 9 10
(2,0)c/11 6 11 12[n 54]
(3,0)c/11 7 13[n 55] 12
(4,0)c/11 9 15 16[n 56]
(5,0)c/11 11 19[n 57] 20[n 58]
(1,0)c/12 5 9 10
(2,0)c/12 5 9 10 7 (gfind) 6 (gfind)
(3,0)c/12 5 9 10
(4,0)c/12 6 9 10 7 (gfind) 8 (gfind)
(5,0)c/12 8 15 16
(6,0)c/12 7 13 14 11 (gfind) 12 (gfind)
(2,0)c/14 4 7 8 5 (gfind) 6 (gfind)
(4,0)c/14 5 9 12 7 (gfind) 6 (gfind)
(6,0)c/14 7 13 14 9 (gfind) 8 (gfind)
(7,0)c/14 6 < w ≤ 10 11 12
(3,0)c/15 4 7 8
(5,0)c/15 5 9 10
(4,0)c/16 4 7 8 5 (gfind) 6 (gfind)
(6,0)c/16 6 9 10 7 (gfind) 6
(8,0)c/16 6 11 12 7 (gfind) 8 (gfind)
(10,0)c/20 5 < w ≤ 10 9 10 7 (gfind) 6 (gfind)
(4,0)c/23 3 5 6 < w ≤ 10
(26,0)c/52 w ≤ 17

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

by height:

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 4 3 < w ≤ 8 3 < w ≤ 7
(1,0)c/3 7 6 < w ≤ 11[n 59] 6 < w ≤ 11
(1,1)c/3 13
14 (LLSSS)[n 60]
13
14 < h ≤ 16 (LLSSS)
13
(1,0)c/4 6 7 6
(2,0)c/4 5[n 61] < h ≤ 12
(1,1)c/4 10[n 62] 10 10
(1,0)c/5 6 6 6
(2,0)c/5 7 7 7
(3,0)c/7 7 7 7

B368/S245 (Move/Morley)

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 6 13 14
(1,0)c/3 6 11 6
(1,1)c/3 14[n 63] (gfind) 17 (gfind)
(1,0)c/4 4 9 10
12
(2,0)c/4 7[n 64] 13 14 13 (gfind) 14[n 9] (gfind)
(1,1)c/4 10 (gfind) 17 (gfind) 12 (gfind)
(1,0)c/5 8 13 14
(2,0)c/5 12 (LLSSS) 19 22[n 65]
(1,1)c/5 11 [n 66] 15[5] (gfind)
(2,1)c/5 w ≤ 50[12]
(1,0)c/6 9 13 14[n 21]
(2,0)c/6 7[n 67] 11 10 11 (gfind) 10[n 38] (gfind)
(3,0)c/6 7 13 14[13]
(1,1)c/6 8 (gfind)
9 (rlifesrc)
17[13] 16[n 68]
(2,2)c/6 11 < w ≤ 13[n 69]
(rlifesrc)
12 (LLSSS)
17[n 69]
(rlifesrc)
17[n 70] 18 (gfind)
(2,1)c/6 w ≤ 40
(1,0)c/7 8 15 14
(2,0)c/7 10 17 18[n 71]
(3,0)c/7 12
13 (LLSSS)
21
23 (LLSSS)[n 72]
22[n 73]
(1,1)c/7 7 7 (gfind)
6 (gfind)
(2,2)c/7 8 (gfind)
12 (ikpx2)
15 (gfind)
21 (rlifesrc)
(1,0)c/8 7 13 14
(2,0)c/8 7 11 12 7 (gfind) 8 (gfind)
(3,0)c/8 10 19 20
(4,0)c/8 7 13 14 13 (gfind) 12 (gfind)
(1,1)c/8 5 (gfind)
6 (ikpx2)
9 (gfind)
11 (ikpx2)
8 (gfind)
12 (ikpx2)
(1,0)c/9 5 9 10
(2,0)c/9 8 13 14
(3,0)c/9 6 9 10
(4,0)c/9 11 21 22
(1,0)c/10 5 7[n 38] 8
(2,0)c/10 6 9 10 7 (gfind) 8 (gfind)
(3,0)c/10 7 13 14
(4,0)c/10 8 13 14 11 (gfind) 12 (gfind)
(5,0)c/10 7 11 12

the flocks

thank you to Lapintra/TrollDu13EtDu14/Lapin Acharné for finding a surprisingly small 2c/8 in apgsearch,[15] which works in all three rules and has been proven to be minimal-width by ascendantDreamweaver

the dreamweaver also increased c/5 to logical width 11 (except in B36/S12, where my laptop's 10 was sufficient in odd and even, and they have not done asymmetrical yet), 4c/9 to 11 and 2c/8 even (in which none were known previously) to 18, 16 (found), and 18, respectively

B3/S12 (Flock)

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 Symmetric Gutter-preserving Glide-symmetric
odd even odd even
(1,0)c/3 38 (LLSSS)[n 74] 21
39 (JLS)[17]
47 (ikpx2)[18]
22
40 (JLS)[17]
48 (ikpx2)[18]
71[19]
(1,0)c/4 11 17 22 17
13 (JLS)[18]
(1,1)c/4 24 (LLSSS)[n 75] 25 (gfind)
33 (ikpx2)
35 (rlifesrc)
41 < w ≤ 45 (LLSSS)
47 (LLSSS) 36 (ikpx2)
(1,0)c/5 11 < w ≤ 18
14 (LLSSS)[n 76]
21 24[n 69] 23
(2,0)c/5 14 (LLSSS)[n 77] 25[n 78] 24 < w ≤ 34
26 (rlifesrc)
28 (LLSSS)
25
23
(1,1)c/5 11 (gfind)
20 (ikpx2)
21 (gfind)
27 (rlifesrc)
33 (LLSSS)
23 (gfind)
(1,0)c/6 10 17 < w ≤ 21 18 19
(2,0)c/6 10
11 (rlifesrc)
16 (LLSSS)
19
31 (LLSSS)
20 21 17 (gfind)
21 (rlifesrc)
29 (LLSSS)
18 (gfind)
20 (rlifesrc)
(1,1)c/6 9 (gfind)
11 (ikpx2)
12 (LLSSS)
17 (gfind)
21 (ikpx2)
19 (gfind)
21 (ikpx2)
16 (gfind)
24 (ikpx2)
(1,0)c/7 9 17[n 79][n 80] 18[n 81] 19[n 82]
(2,0)c/7 10 19 20 21
(3,0)c/7 12
20 (LLSSS)
23 24 25
(1,1)c/7 8 (gfind)
9 (rlifesrc)
11 (ikpx2)
13 (gfind)
17 (rlifesrc)
15 (gfind)
(1,0)c/8 7 13 14 15
(2,0)c/8 10[n 69] 17[n 69] 18 17 17[n 83] 12 (gfind)
14 (rlifesrc)
(3,0)c/8 10
16 (LLSSS)
19
27 (LLSSS)
20 21
(1,1)c/8 7 (gfind)
9 (rlifesrc)
13 (gfind)
17 (rlifesrc)
15 (gfind) 12 (gfind)
16 (rlifesrc)
(2,2)c/8 8 (gfind)
11 (rlifesrc)
15 (gfind)
19 (rlifesrc) < w ≤ 33
21 23 (rlifesrc) 14 (gfind)
(1,0)c/9 7 11 12 13
(2,0)c/9 8 13 14 15
(3,0)c/9 9 17 18 19
(4,0)c/9 11 21 22 23

B36/S12 (HighFlock)

see also User:AforAmpere/2x2 for B36/S125
Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/3 11 21 22
14 (JLS)[20] 29 (JLS) 30 (JLS)
(1,0)c/4 10 15 16
(1,1)c/4 19
(rlifesrc,LLSSS)
33 (rlifesrc) 26[n 84]
(1,0)c/5 10[n 85] < w ≤ 14
11 (gfind,[21] LLSSS[n 86])
19 20
(2,0)c/5 11[n 87] 17[n 88] 20[n 89]
(1,1)c/5 11 (gfind)
15 (rlifesrc)
17 (ikpx2)
18 (LLSSS)
21 (gfind)
27 (rlifesrc)
(1,0)c/6 10[n 90] 19 18
(2,0)c/6 10 < w ≤ 15
13 (LLSSS)
19 20 17 (gfind)
19 (rlifesrc)
18 (gfind)
(1,1)c/6 9 (gfind)
11 (ikpx2)
15 (rlifesrc)
15 (gfind)
21 (ikpx2)
23 (rlifesrc)
24 (ikpx2)
(1,0)c/7 9 17[n 91] 18[n 92]
(2,0)c/7 10 19 20[n 93]
(3,0)c/7 12
18 (LLSSS)
23
35 (LLSSS)
24
36 (LLSSS)
(1,1)c/7 13 (rlifesrc) 21 (rlifesrc)
(1,0)c/8 7 11 12
(2,0)c/8 10[n 69] 17 16[n 94] 13 (gfind) 12 (gfind)
14 (rlifesrc)[n 95]
(3,0)c/8 10
13 (LLSSS)
19 20
(1,1)c/8 6 (gfind)
9 (rlifesrc)
11 (gfind)
13 (rlifesrc)
12 (gfind)
(2,2)c/8 8 (gfind)
11 (rlifesrc)
21 23 (gfind) 14 (gfind)
(1,0)c/9 6 11 12
(2,0)c/9 8 13 14
(3,0)c/9 9 15 16
(4,0)c/9 11 21 22
(1,1)c/9 9 (rlifesrc) 15 (rlifesrc)
(1,0)c/10 6 11 12
(2,0)c/10 6 11 12 9 (gfind) 8 (gfind)
(3,0)c/10 7 13 14
(4,0)c/10 8[n 38] 17[n 38] 18[n 38] 13 (gfind) 8[n 38]
8 < w ≤ 19 17 18
(3,0)c/15 4 9 8
(12,0)c/30 5 < w ≤ 24 7 6 5 4
Velocity Asymmetric Symmetric Gutter-preserving Glide-symmetric
odd even odd even
(1,0)c/2 ∞ (LLSSS)[23]
(1,0)c/3 38 (LLSSS)[n 96]
20 (JLS)
23 (ikpx2)
25L (LLSSS)
21
27 (JLS)
45 (ikpx2)
69,47L (LLSSS)
22
28 (JLS)
46 (ikpx2)
48L (LLSSS)
71[19] (LLSSS)
(1,0)c/4 11 17 22 17
13 (gfind)[24]
(2,0)c/4 ∞ (LLSSS)[23]
(1,1)c/4 21 (rlifesrc)
22 < w ≤ 24 (LLSSS)
33 47 (LLSSS) 36 (rlifesrc)
(1,0)c/5 11
13 (gfind)[25]
21 24[n 69] 23
(2,0)c/5 14 (LLSSS)[n 77] 25[n 78] 24 < w ≤ 34
28 (LLSSS)
25
(1,1)c/5 11 (gfind)
18 (LLSSS)
19 (rlifesrc)
21 (gfind)
33 (rlifesrc)
23 (gfind)
(1,0)c/6 10 17 < w ≤ 21 18 19
(2,0)c/6 10 19 20 21 17 (gfind) 18 (gfind)
(3,0)c/6 ∞ (LLSSS)[23]
(1,1)c/6 9 (gfind)
11 (ikpx2)
17 (gfind)
21 (ikpx2)
19 (gfind)
21 (ikpx2)
16 (gfind)
24 (ikpx2)
(1,0)c/7 9 15[n 80] 16 17
(2,0)c/7 10 19 20 21
(3,0)c/7 12 23 24 25
(1,1)c/7 8 (gfind)
9 (rlifesrc)
13 (gfind)
17 (rlifesrc)
15 (gfind)
(1,0)c/8 7 13 14 15
(2,0)c/8 10[n 69] 17[n 69] 18 17 17[n 83] 12
14 (rlifesrc)
(3,0)c/8 10 19 20 21
(2,2)c/8 7 (gfind)
11 (rlifesrc)
13 (gfind)
19 (rlifesrc)
21 12 (gfind)
(4,0)c/9 11 21 22 23

B34/S35 (Dance)

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 7 7 18
(1,0)c/3 10 13[n 97] 20
(1,1)c/3 13[n 98] 15[n 99]
(1,0)c/4 12 15 14
(2,0)c/4 8 11 10 9 10
(1,1)c/4 16
(LLSSS,rlifesrc)
23[n 100] 22[n 101]
(1,0)c/5 7[n 102] 13 14
(2,0)c/5 12
17,13L (LLSSS)
27 (LLSSS) 24
28,26L (LLSSS)
(1,1)c/5 10 (gfind)[n 103] 11 (gfind)
(2,1)c/5 30 (ikpx2)
(1,0)c/6 8
8L (LLSSS)
15 < w ≤ 19[26] 16
(2,0)c/6 6 13[n 104] 14 13 14
(3,0)c/6 10 13[n 38] 18
(1,1)c/6 8 (gfind)
11 (rlifesrc)
13 (gfind)
19 (rlifesrc)
18
(2,1)c/6 15 < w ≤ 20[n 105]
(1,0)c/7 8[n 106] 13 8
(2,0)c/7 10 19 20
(3,0)c/7 12 23 24
(1,1)c/7 7 (gfind)
9 (rlifesrc)
13
(2,2)c/7 8 (gfind)
15 (rlifesrc)
13 (gfind)
25 (rlifesrc)

INTs

thank you to the dreamweaver once more for improving the 2c/5 and 3c/7 bounds (and thereby finding the surprisingly small 2c/5 asymmetrical)

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 12
22 (ikpx2)
23 (rlifesrc)
42,38L (LLSSS)
23
43 (ikpx2)
87 (LLSSS)
24
44 (ikpx2)
(1,0)c/3 10 23[n 107] 22
(1,0)c/4 14 (LLSSS)[n 108] 19 26 (LLSSS)
(2,0)c/4 12
15 (rlifesrc)
31 (LLSSS)
47 (LLSSS) 50 (LLSSS) 37[n 109]
(LLSSS)
40 (LLSSS)
(1,1)c/4 21 (ikpx2)
30 (LLSSS)
41 (ikpx2)
43 (rlifesrc)
57 (LLSSS)
46 (LLSSS)
(1,0)c/5 11[n 110] 21 22
(2,0)c/5 11 23[n 111] 24[n 112]
(1,1)c/5 19 (rlifesrc) 33 (rlifesrc)
(1,0)c/6 10 19 20
(2,0)c/6 11 < w ≤ 15 21 22
(1,1)c/6 13 (ikpx2)
15 (rlifesrc)
25 (ikpx2)
27 (rlifesrc)
26 (ikpx2)
(1,0)c/7 7
8 (rlifesrc)
13 14
(2,0)c/7 10 17 18
(3,0)c/7 12
16 (LLSSS)
21
31 (LLSSS)
22
(1,1)c/7 13 (rlifesrc) 23 (rlifesrc)

B34kz5e7c8/S23-a4ityz5k (yujh rule :-)

Velocity Asymmetric Symmetric Gutter-preserving Glide-symmetric
odd even odd even
(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 5 10
10[n 113] 14 13
(1,0)c/5 8 17 18 17
20 19
(2,0)c/5 16 (LLSSS)[n 114] 27 (LLSSS) 26[n 115] 27 (LLSSS)
(1,1)c/5 17[n 116] 27 (rlifesrc) 27 (LLSSS)
(1,0)c/6 10 17 18 19
(2,0)c/6 10 17 20 19 11 20[n 69]
(3,0)c/6 10 15 20 19
(1,1)c/6 14 (rlifesrc)[n 117] 13 (ikpx2)
21 (rlifesrc)
23 (rlifesrc) 14 (ikpx2)
(1,0)c/7 9 15 16 17
(2,0)c/7 9
10 (LLSSS)
17
19 (LLSSS)[n 118]
18
20 (LLSSS)[n 119]
19
(3,0)c/7 10
11 (rlifesrc)
16 (LLSSS)
19
31 (LLSSS)[n 120]
20
30 (LLSSS)[n 121]
21
(1,1)c/7 13 (rlifesrc) 23 (rlifesrc) (rlifesrc)
(1,0)c/8 7 13 14 15
(2,0)c/8 8 15 16 17 9 14[n 122]
(3,0)c/8 10
11 (LLSSS)[n 123]
19 20 21
(4,0)c/8 7 11 14 13 11[n 124] 10
(1,1)c/8 7 (ikpx2)
9 (rlifesrc)
13 (ikpx2)
17 (rlifesrc)
13 (ikpx2) 14 (ikpx2)
(3,0)c/9 8 < w ≤ 17 13 16 15
(5,0)c/10 8 15 < w ≤ 21 16 15
(6,0)c/12 7 11 14 13
(7,0)c/14 6 11 < w ≤ 19 12 13
(11,0)c/22 5 7 < w ≤ 17 8 9
(12,0)c/24 4 7 < w ≤ 21 8 < w ≤ 24 9
(10,0)c/26 4 < w ≤ 7 7 8 9
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 ]]
(click above to open LifeViewer)


self-complementaries

for B3678/S34678 (Day & Night), see AforAmpere's page

B35678/S4678 (Holstein)

c/2 reports no partial results are found in any symmetry

Velocity Asymmetric Symmetric Glide-symmetric
odd even odd even
(1,0)c/2 14
28 (gfind)
60 (ikpx2)
∞ (LLSSS)[23]
27
55 (gfind)
119 (ikpx2)
28
56 (gfind)
120 (ikpx2)
(1,0)c/3 15[n 125] 19[n 126] 20[n 127]
(1,1)c/3 20 (gfind)
60 (ikpx2)
∞ (LLSSS)
37 (gfind)
(1,0)c/4 11
16 (rlifesrc)
21[n 128] 26[n 69]
(1,1)c/4 15 (gfind)
27 (rlifesrc)
43 (ikpx2)
66 (LLSSS)
29 (gfind)
41 (rlifesrc)
85 (ikpx2)
28 (gfind)
40 (rlifesrc)
86 (ikpx2)
(1,0)c/5 11 15 14
(2,0)c/5 12
48 (ikpx2)
128,64L (LLSSS)
23
95 (ikpx2)
24
96 (ikpx2)
(1,1)c/5 15 (rlifesrc)
< w ≤
19[n 129] (ikpx2)
25[n 130] (rlifesrc)
(1,0)c/6 10
11 (rlifesrc)
21[n 131] 20[n 132]
(2,0)c/6 11 19 20 19 20
(1,1)c/6 8 (gfind)
13 (ikpx2)
15 (rlifesrc)
15 (gfind)
25 (ikpx2)
27 (rlifesrc)
16 (gfind)
24 (rlifesrc)
26 (ikpx2)
(1,0)c/7 9 15 16
(2,0)c/7 10 19 20
(3,0)c/7 12
15 (ikpx2)
25 (LLSSS)
21
29 (ikpx2)
22
30 (ikpx2)
(1,1)c/7 13 (rlifesrc) 19 (rlifesrc)[n 133]
(1,0)c/8 8 13 14
(2,0)c/8 8
9 (rlifesrc)
15 16 11 (gfind)
19 (rlifesrc)
12 (gfind)
18 (rlifesrc)
(3,0)c/8 11
12 (ikpx2)

17 (LLSSS)
19
23 (ikpx2)
20
24 (ikpx2)
(1,0)c/9 8 15 16
(2,0)c/9 9 17 18
(3,0)c/9 10 17 18
(4,0)c/9 12 21 22

B3578/S24678 (Geology)

Velocity Asymmetric Symmetric Gutter-preserving Glide-symmetric
odd even odd even
(1,0)c/2 7 11 10 11
(1,0)c/3 7 11 10 13
(1,1)c/3 9 (gfind)[n 134] 17 (gfind)[n 135] 19 (gfind)
(1,0)c/4 7 11 12 13
(2,0)c/4 7[n 136] 11 10 11 9 (gfind) 10 (gfind)
(1,1)c/4 10 (gfind) 13 (gfind)[n 137] 17 (gfind) 12 (gfind)
(1,0)c/5 8 11 12 13[n 38]
(2,0)c/5 10 13 16[n 138] 19
(1,1)c/5 8 (gfind)
9 (rlifesrc)[n 139]
10 (LLSSS)
13 (gfind) 17 (gfind)
(2,1)c/5 w ≤ 38[30]
(1,0)c/6 7 11 10 15
15
(2,0)c/6 7 11 10 13 9 (gfind) 10 (gfind)
(3,0)c/6 7 11 10 13
(1,1)c/6 7 (gfind)
9 (rlifesrc)
13[n 69] (rlifesrc) 13 (gfind) 12 (gfind)[n 140]
(2,2)c/6 9 (gfind) 17 17 (gfind) 17[n 69][n 141]
(rlifesrc)
16 (gfind)
(1,0)c/7 8[n 142] 11[31] 12 15[32]
(2,0)c/7 9[n 143] 13 14[33] 19
(3,0)c/7 11[n 144] 17[34] 20 21
(1,1)c/7 6 (gfind)
7 (rlifesrc)
13 (gfind) 13 (gfind)
(2,2)c/7 11 (rlifesrc) 15 (rlifesrc)
(1,0)c/8 6 9 10 11
(2,0)c/8 6 9 10 13 9 (gfind) 10 (gfind)
(3,0)c/8 9 15 16 19
(4,0)c/8 7 11 10 11 11 (gfind) 10 (gfind)
(1,1)c/8 4 (ikpx2)
7 (rlifesrc)
7 (ikpx2)
11 (rlifesrc)
8 (ikpx2)
(1,0)c/9 6 9 10 11
(2,0)c/9 7 11 12 13
(3,0)c/9 6 9 10 13
(4,0)c/9 11 19[n 145] 20[n 146] 21[n 147]
(2,0)c/10 5 9 10 11 9 (gfind) 8 (gfind)
(5,0)c/10 7 11 10 13
(4,0)c/11 7 13 12 13
(6,0)c/12 6 11 10 13 7 (gfind) 10 (gfind)


notes

collapsed due to considerable length
  1. ↑ 84 cells; shortest at width 13 is 127 and at 15 is 56
  2. ↑ non-monotonic!
  3. ↑ [2] found a 71-cell version, gfind found a 68-cell
    at width 14, the shortest is 72 cells, and at width 15, gfind seems to return the width-13 result
    LLSSS's logical width 12 (with floating rows) found a 67-cell w13a
  4. ↑ first found in [2], 106 cells, shortest at width 15 is 84 cells, at 17 is 78, at 19 and 21 is 60, at 23, 25 and 27 is 82
  5. ↑ 62 cells, smallest at width 8 is 26 cells
  6. ↑ h19, 65 cells
    smallest at width 15 is h16, also 65 cells
    at w15, a h15, 61 cells
  7. ↑ 70 cells, there is a longer but smaller w14 which is 58
  8. ↑ 100 cells; shortest at width 15 is 66 (or if you'd prefer one which isn't an odd-symmetric with phase-shifted p4 backends, 83)
  9. ↑ 9.0 9.1 though this is shortest, it is 71 cells, and this spaceship is 58
    for Move, this one (91 cells) is nontrivial
  10. ↑ first found in [2], also the first spaceship to be found in a width-10 or 11 gfind search
  11. ↑ first found in [2], 107 cells, shortest at width 19 and 21 is this 46-cell one
    at 17 × 17, the 46-cell one is also the smallest by bounding box, although not uniquely! a 5858s rlifesrc search also yields this 86-cell one
  12. ↑ 60 cells, shortest at width 14 and 16 is this 62-cell one, at 18 and 20 is this 54-cell one
  13. ↑ is confirmed shortest by LLSSS in 2984s
  14. ↑ 113 cells, shortest at width 13 is the same, at 15 is 69 cells
  15. ↑ shortest w14e is tied between this 170-celler and this 206-celler, then at w16e is this 108-celler
  16. ↑ 208 cells; ascertained shortest by LLSSS, with which I also did a w13a search, finding only the same w12a; w14a crashes at 54.73GB RAM used on my laptop
    Darcy Li got her paws on a computer with 1TB of RAM, upon which LLSSS showed the shortest w14a is this thing at 209 cells
    however, llsss-recentering-wao found a 158-cell w16a at floating logical width 12
  17. ↑ shortestness ascertained by LLSSS; 441 cells, whereas a longer w19o with a thinner backend submitted by JMM to b36s245/qfind_stdin on 2024-06-02 is only 380
    shortest w21o is 343, shortest w23o is 255
  18. ↑ 712 cells, verified shortest by LLSSS
    LLSSS search at logical width 10 (using floating rows) found a much shorter backend, for a 452-cell w22e
    however, this is not minimal! shortest w22e is 352 cells
    shortest w24e is 306
  19. ↑ 373 cells, found in [3] and verified minimal-width in [2]
    note that the smallest known is 146 cells at width 17[4]
    a close competitor is the shortest at llsss-recentering-wao logical width 10, a 154-cell w22a
  20. ↑ 184 cells, found in [5] then proven minimal in [6], gfind agrees
    gfind reports the same spaceship for width 17
    Note the smallest known symmetrical one is a 152-cell width-19 found by May13[7]
    none exist in 13 × 13 per 5132s rlifesrc search, none in 14 × 14 per 43837s, none in 15 × 15 per 273675s
  21. ↑ 21.0 21.1 112 cells, note that this alternative backend is marginally longer but matches population
    in a haul on 2024-02-14, JMM found a 74-cell w16e
  22. ↑ 71 cells, width 8 reduces to 61 cells
  23. ↑ 171 cells, width 13 reduces to 142 cells, 15 to 107
  24. ↑ w10a disproven in 19074s LLSSS search (longest partial)
    no w11a in 88 × 88 (with frontend phase constraints), per 248736s rlifesrc search; first w11a known (94 × 95, 287 cells) was found in 44976s, then this one (87 × 88) in 71222s; complete 89 × 89 rlifesrc search (finding it as the only result) took 273421s
  25. ↑ minimal bounding box for a w17s (68 × 68, none in 67 × 67 per 17914s rlifesrc)
    note there is a much smaller w19s (15 × 15 and minpop 61, however it is not smaller than the 64-cell w18glide by all metrics; its averagepop exceeds that one's maxpop)
  26. ↑ width 14 was disproven with gfind
    the first w16glide (at 718 cells) was found in [4], and the likely minimal (shown in the table), at 351 cells, was in [8] by my dearest yujh, who also found a 64-cell w18glide (which also bears a cool tagalong, which forms the only other w18glide in 32 × 32)
  27. ↑ 244 cells; in personal correspondence, LuveelVoom found for me a 176-cell w15s
  28. ↑ 9*654 partial
    4b3o$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
    2o$2b4o$5bo$2b2o2bo$2bobo$3b2o$4b2o$3b2obo$3bo3bo$2bobo2bo$2b3obo$4bobo$3bob2o$4bo2$6bobo$5b3o$8bo$2b3ob3o$3b3o$2bo3bo$2b2obo$5bobo$2o2bo2$2b6o$4bob2o$bo$bo$2b3o$5b2o$3b4o$3b2obo$4b3o
    $6bo$4b3o$5bo$2bo$b2o$2b2o$o2b2o2$2obo$2bo2bo$bob3obo$4bobo$5b2o$5bo$6bo$4bo$4bo$2b2o$2b2obo$bo2b2o$b3o$5b3o$2ob2obobo$3o2bobo$2b6o$2b2o2b3o$2bo2bobo$o2b3o2bo$o2b3obo$b5o2bo$obo3bo$4b
    o2bo$3b3o$4b3o$2b3o$bob2o$2bob2o$2bob2o$2bobobo$b2obo$b2o2b2o$b3o$2bo$2bobo$bo3bo$3bo$3b3o$6bo$5b3o$4b2obo$o2bob2o$b2o$2bobo2$bo$2bo$2b3o$2bobo$3b3o$4b2o$5bo$4bo$5b2o$3b4o$2bob4o$3bo2
    b2o$3bobo$3bo$3bob2o$5bo$3b2o$3bobo$5b2o2$6bo2$4bob2o$3bo$4b2o$3bo2bo$2bo2b2o$3b3o$4b2o2$4bo2bo$5b2o$3bo3bo$2b2o$2bo$3bobo$2b4o$2bo2bo$b3obo$bo2bo$3bo2b2o$3bo2bo$4b4o$4bo$5bo$bo2bo$2b
    3o$bo2b2o$bo2bobo$2b4o$b3o$6bo$6bo$5bo$5b2o$5bobo$6b3o$7bo$3b4o$b2o$b2o$2bob2o$2bo$o$2o2$2b2o$2bo$3b5o$6bo$6bo$2bo3bo$b2obo$bobobo$2b2obo2$b2obo$4bo$3bo$bo2b2o$3b2o2bo$3b2obo$3bo2$2b2
    o$3bo$3bo$b2o$b2o$2bobo2$5b3o$7bo$4b2o$4bo$4bobo2$2b2o3b2o$2bob4o$4bo$4b2o$bo$3o$o2b2o$3bo$bo2$2b3o$3b2o$2bo$2bobo$4bo2$3b2o$3b3o$3bob2o$3bo$4b2o$3b3o$3b3o$2bob2o$5b2o$b3o$b4o$7bo$5bo
    b2o$b2o3b3o$obo$obo2bo2bo$7bo$7bo2$5b2o2$6bo$4bo$2b3o$2bobo$2bo4bo$3bo2b2o$3bo$3bo$6bo$5bo$2b3o$2bobob2o$bob2obo$2obob2o$2o3bo$5bo$2b4o$2bob3o$2bo$4bo$2bo$4bobo$bobobo$4b3o$4bo2bo$3b5
    o$4bobo$4b2o$5b2o$4b2o$4bo$6bo$3b2o2bo$4b2obo$5o$3bo2bo$4obo$2b4o$bo$3bobo$4b2o$3b3o$3bo3bo$6b2o$6bo$4bo$2b3o$b3o$3bobo$5bo$7bo$5b2o$3b3obo$5b2o$2bobo$2b2o2bo$4bo2$3bobo$5b2o$4b2o$4b3
    o$4b2o$4bo2$2bobo$3b2o$b2o$2o2bob2o$o2b2o2bo$bo3bo$6bo$7b2o2$5b3o2$3b2o$2bo$2b3o$3b2obo$3bobo3$3b2o$3b2o2bo$3bo2b3o$2bob3obo$4bo$3b2o$b3o$2b3o3$2b3o$2b3o$2bo3bo$2bobobo$3b2o$bob2o$obo
    $4bobo$2bo$3b4o$3b2obo2$4b2o$3bo2bo$4bob2o$4bobo$3b2ob2o$4bob2o$4b2obo$4bo$4bobo$3b3obo$4b3o$3bo$5b2o$4b3o$4bo$bo2b2o$2o4bo$b4o$obo2bo$b2o$2bo3b2o$2b5o$2b2o3bo$5b2o$5bo$7bo$5b2o$5bo$5
    bobo$4bob2o$3b3obo$2b3obo$2bob2obo$bob2ob2o$2b4obo$6bo$3bo$4bo$4b2obo$5bobo2$4bobo$5b2o2$4b2o$4bo$3b2o$4bo2$4b2o$3b3obo$3bo2b2o$3bobo$3bobobo$4bo2bo$4bo2bo$5b2o$3b2o2b2o$4b2o2bo$4bob2
    o$5b3o$5b3o$5b2o$6bobo$3b2ob2o2$6b2o$5b4o$6b2o$5b3o$3b2obo$b3obo$b4o$2b2o2bo$2bo$bo4bo$4b3o3$3b3o2$3bo$2b2o$b2obo$bo2bobo$2b3obo2$2bob3o$4b2o$5b2o3$2bo$2ob2o$bobo$o3bo$bobo$3bo$2bobo$
    2b4o$3b5o$3bo3b2o$5bobo$6bobo$6bo$3b2o$3bobo$2b3obo$4b2obo$b4ob2o2$4bo$2bob3o$2b6o$2b2obobo$3b3ob2o$3b2o2bo$2bo4bo$2b2o$bo2b2o$2b2obo$bo2$2bo$2b4o$bo3bo$4b2o$4b3o$5b2o$5b2o$6bo$2bob2o
    $3b2obo$3bob2o$3b2o$3b2o$2b2o$3bo$2bobo$bo$2b2o$3bo$bo$2bo$2b4o$2bo2bo$b2ob2o$bo2bo$3o2b2o$bobo$bo2b3o$b4o$ob3o$3o2b2o$b2ob2o$2b2o2bo$2b2o$2ob3o$2bob2o$2bob2o$3b4o$4bo$2b3o2$2b4o$3bo$
    3bob3o$3b2o3bo$5bobo$6bo$3b2o2bo$2bobo$3bo2$4b2o$3b2o$3b2o$3bo$bo2bo$bo2bo$3o$bo$ob4o$4b2o$b3obo$3b2o$2bob2o$3b3o$2bo3bo$2b4o$4b3o$bo$o2bo$ob2o$4b2o$5bo$2b2o$5b3o$4bo2bo$3b4o$bo2bo$b3
    o$2o2b2o$2o2bo$3bo2bo$b2obo$o2bo$5b2o$6b2o$2b4o$3bobo$4bo$3bo$5bo$5b2o$5b2o$5bob2o$7b2o$6bo$6bo2$3bob2o$3bo3bo$5o2b2o$bo2b2o$o2bobo$2b3o$3bo3bo$3bobo$3b2o$3b2obo2$b4obo$b2obo$3bo$3bo$
    4bobo$4b2ob2o2$3b3obo$3bob3o$5b2o$4b3o$4b3o$3b2ob2o$6bo$4b3o$5bo$3b3o$3b3obo$4b3obo$4bobo$2bob3o$3bobo$3b4o$2bob2o$2b6o$2b2o2bo$7b2o$3bo3bo$2bob2obo$3bob2obo$3b2ob3o$5b2o$4b2o$2b2o$3b
    ob2o$3o2b2o$b4ob2o$2obob2o$2b2o$2bo2bo$5o$bob5o$bob5o$bobobo$ob4o$4bobo$b5o$b2o2bo$3bobobo$5bobo$4bob2o$2bobobo$2b2o$2b2o$bo4b2o$4b2o2bo$3b5o$2b2obobo$2bobo2b2o$o5b3o$3b2obo$2ob2o2bo!
  29. ↑ 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 minimum
    shares frontend with the longest width-10 (10*65) partial
    5bobo$5b3o$4bob2o$2b4o2bo$2b4o$6bobo$9bo$5bobo$4b4o$3bobobo$3b2o$5bobo$5b4o$4bobo$4b2obobo$4b2o$4b5o$3b2o$4bo3bo$2b2ob4o$2bobob2o$3bobobo$3b2o$2b2
    obo$b2o2b2o$7bo$3bo$2bo3b3o$2bob2obobo$2bobobob2o$4b2o2bo$6b4o$4b2obo$4b3o$5b2o2$3b2obo$2bo3b3o$3b2obobo$3b2obobo$3b2obobo$o2b5o$7b2o$2b3o2bo$2bo4
    bo$3bo3bo$3b2o2b2o$2bo2b3obo$b2obo$b2obo$o4bo$b2ob2o$3b5o$b4obo$bo2bo2bo$9o$bob4obo$2bo2bo2b2o$2bo2bobo$5bo3bo$2bobo$bobo$b3o2b4o$2obobob2o$3b4obo!
  30. ↑ 506 cells; was first found by lordlouckster in [10] then width was determined minimal in [4]
    this spaceship (with a forked tail) is in fact shorter, but 534 cells
    at w18e, shortest is only 502 cells, but second-shortest is 462 (and shares a frontend with the w16e)
  31. ↑ largest partial in 33536s:
    ..oooo.
    ..oo..o.
    oo.oo.oo.
    ooo...oo..
    o.o..o.....
    o...o..o....
    .ooo.........
     .oo.o.o......
      .....oo.o....
       ....oo..oo...
        ....o..o...o.
         ....ooooo.o..
          ....ooooooo..
           ..o.o....o...
            ..o.ooo...o..
             ...oo.....oo.
              ....o.o......
               ....oo..oo...
                ....o..o.....
                 .............
                  ..oo....o....
                   ....ooooo..oo
                    ...o.o.oooo..
                     .ooo.oo.oo...
                      .....oo.oo...
                       ..o.....oo..o
                        ..oo..oooooo.
                         ......o.o....
                          ..........oo.
                           .....o.oo..o.
                            ....ooooo....
                             ...oo.o......
                              ...ooo..ooo..
                               .....o.o.....
                                ...ooo.oo....
                                 .......oo....
                                  .....o.ooo...
                                   ....ooooo....
                                    ..oo.o.o.....
                                     .oooo.o.o....
                                      ....o..oo....
                                       .oooo....o...
                                        .oo..ooo.....
                                         ...o..o.o....
                                          .ooo..oo..o..
                                           ..o..oo..oo..
                                            .oooo.o..oo..
                                             ....o..oo.o..
                                              ..ooo.o.oo...
                                               ..o.ooooo....
                                                o..o.oooo....
                                                 ..oo...o.o...
                                                  ..ooo..o.oo..
                                                   .....ooo.ooo.
                                                    ...o...ooo...
                                                     ......o.o.o..
                                                      ..oo..ooo....
                                                       .....oo.oo...
                                                        .o.....o..o..
                                                         o.o.oo...o...
                                                          ..oo....o.oo.
                                                           ..ooooo.oo...
                                                            o...oo...o.o.
                                                             oooo....ooo..
                                                              .o.o..o..o..o
                                                               oo...oo..ooo.
                                                                .oooo...?????
                                                                 o...o.?????
                                                                  ...o.????
                                                                   ..o????
                                                                    o????
                                                                     ???
  32. ↑ largest partial in 108129s:
    .oo.........
    ooooo........
    ooo.oo.oo.....
    .o.o.ooooo.oo..
    .oo..o.....oo...
    ..ooo..oo.o..o...
    ...o...oooooo..o..
    ..oo.oo...o...o.o..
    ..oo.oo....oooooo...
    ...o..o....ooooo.....
    .....ooo....o...o..o..
    ...oo.o.oo...o.oo.ooo..
     ..oo.o.ooo....oo....o..
      ...o..oo.o...o....oo...
       ....ooo......oo.oo.oo..
        ..o.oo.ooo...o.o.o...o.
         ..oo.ooo.o...oo.o.o....
          ........oo...o...oo.o..
           ....o....o....oo..o..o.
            ..oo..oooo..o....oooo..
             ..o.oo....o.o..o....oo.
              ..oo.oo.o.o...oo.oooo..
               ...o...o....o...o..o...
                ..o.oo....oo..o......o.
                 ....o..oo..oooo..oooo..
                  .o..oo.o..o.ooo....o.o.
                   ..o.o...ooooo........oo
                    ...o.oo.ooooo...ooo.o..
                     .oo.o...o.ooo..oo.o.o..
                      ..oo......oo..o.ooooo..
                       .ooo.o......o..o.o.o...
                        ....o.....ooo..o..oo.o.
                         ...o..ooo.o.o.o..oooo..
                          .ooo.oo...o.o.o.o.oo...
                           ....o.oo..o.o..o...o...
                            .o..oo.oo.o...o.o......
                             .oo.oo..o.......ooo....
                              o.oo..........o.o......
                               ..ooooooo.....ooo.oo..o
                                ...oo........o..oooo.o.
                                 ...oo.o.o..o..oo...ooo.
                                  .ooo..o.oo..o..ooo.ooo.
                                   ...o.ooo..ooo..oo...o..
                                    ....o.o.o.oo.o.o.o.....
                                     ......oo...o....oo.....
                                      ....oo.o.o..o..o.oo....
                                       ...oo.oo..o...o..oo....
                                        ...o.ooo.....o.oo...o..
                                         ...o...........o.oo.o..
                                          oooo.ooooo...ooo.ooo...
                                           .oo..o........oooo.....
                                            .oo..o.o.o.o.ooo.o.ooo.
                                             ....ooooo..ooooooooooo.
                                              ....o..oooo...o........
                                               .....o.ooo..oo...oo....
                                                ....ooooo.o.ooo.ooo.o.o
                                                 ..o.oo.oooo.o...o..oo.o
                                                  ..oo.oo..oo.oooo.......
                                                   .....o..o.o...o...oo.oo
                                                    ...oo....o..o....ooooo.
                                                     ..oo.oo.o.ooo..ooo..o..
                                                      .oo.ooooo.o.ooooo...ooo
                                                       .o..o.....o..o..o.o????
                                                        .........o.oooo...???
                                                         ..oo...oooo..o.oo??
                                                          ..o.oooo.o..?????
                                                           o..oooo.oo?????
                                                            o..o..o..????
                                                             .oo....o???
                                                              ooo.o.o??
                                                               ..o????
                                                                .o???
                                                                 o??
                                                                  ?
  33. ↑ 7*39 partial
    2b4o$2b4o3$4b2o$4bo2$b3o$bobo$3b3o$2b2obo$2bobo2$bobobo$2b2o2$bobo$obobo$bobo$o$3bo$3b2o$4bo
    $3b3o$o3bo$bobobo$3o3bo$2bo$bo2b2o$b2o2$b2ob2o$3o3bo$bob3o$bob2o$bobob2o$b2ob2o$2bo2bo$3b2o!
  34. ↑ 13*143 partial
    2bo7bo$b3obobob3o$ob4ob4obo$5bobo$4b2ob2o$4bo3bo$5bobo$4b5o$2b3o3b3o$3bobobobo$3b2obob2o$bob2o3b2obo$4bo3bo$4bo3bo$3b2o3b2o$5bobo$3b2o3b2o$2b2o5b2o$3
    b2obob2o$2bo2b3o2bo$4b2ob2o3$3b2obob2o$4bo3bo$3bobobobo$3b2o3b2o$4bobobo$3bo5bo$4bo3bo$4b5o2$5b3o$4b2ob2o$4b2ob2o$4b2ob2o$2bob2ob2obo$2bo3bo3bo$3bobo
    bobo$2b2o5b2o$2b2ob3ob2o$b4obob4o$3b7o$bo2bobobo2bo$b5ob5o$2b3o3b3o$3b2o3b2o$bob2o3b2obo$2bobo3bobo$6bo$4bobobo$3bob3obo$3bo2bo2bo$2bobo3bobo$2bobobo
    bobo$bo9bo$o2b2o3b2o2bo$2b2obobob2o$3b2o3b2o3$2b2o5b2o$bob2o3b2obo$2b3o3b3o$b2ob2ob2ob2o$4b5o$5b3o$3bobobobo$b2o3bo3b2o$b11o$bo3bobo3bo2$4bo3bo$4bo3b
    o$3bo2bo2bo$3bo5bo$4bobobo$2b2obobob2o$2bobo3bobo$b3obobob3o$3obobobob3o$bo3b3o3bo$2bobo3bobo2$3bo5bo$4b2ob2o$6bo2$2b3o3b3o$2b2o2bo2b2o$b4obob4o$bo3b
    obo3bo$3b3ob3o$4bo3bo$3b2obob2o$6bo$3bobobobo$5bobo$3bo5bo$4b2ob2o$2b9o$b3o5b3o$3bo5bo2$5bobo$3ob5ob3o$b2o7b2o$bob2o3b2obo$2o9b2o$b4obob4o$6bo$3bo5bo
    $5b3o$b2o3bo3b2o$ob4ob4obo$4ob3ob4o$bo3bobo3bo$2b3obob3o$6bo$5bobo$3b3ob3o$2bobo3bobo$b2obo3bob2o$5bobo$2b3o3b3o$4bobobo$3b2o3b2o$2bobo3bobo$2bob2ob2
    obo$2obo2bo2bob2o$b2obobobob2o$2obo2bo2bob2o$2bo2b3o2bo$b4o3b4o$4bo3bo$bo2b5o2bo$b2o2bobo2b2o$2b9o$3bo5bo$5b3o$obobo3bobobo$2obobobobob2o$bobob3obobo!
  35. ↑ 14*194 partial
    6b2o$5bo2bo$4bo4bo$6b2o$6b2o2$3b3o2b3o$4b6o$4bob2obo$3b2o4b2o$3b2ob2ob2o$5bo2bo$3b3o2b3o$3b3o2b3o$5bo2bo$4b2o2b2o2$3b2ob2ob2o$6b2o$5b4o$5b4o2$4bo4
    bo$3bo2b2o2bo$4bo4bo$4bo4bo$6b2o$5b4o2$4bo4bo$2b2obo2bob2o$2bob2o2b2obo$5bo2bo$2b3ob2ob3o$2b2o2b2o2b2o$3b2ob2ob2o$b2o8b2o$5b4o$3b8o$3bobo2bobo$3b2
    o4b2o$3b8o$2bo8bo$2b3o4b3o$4bob2obo$4b2o2b2o$4b2o2b2o$4b2o2b2o$6b2o$5bo2bo$4bo4bo$4bo4bo$3bo6bo$5b4o$4b6o2$3bo2b2o2bo$4bob2obo$4b2o2b2o$3bobo2bobo
    $3b2o4b2o$2b2o2b2o2b2o$4bo4bo$3b3o2b3o$o2bo6bo2bo$b3o2b2o2b3o$bob2ob2ob2obo$6b2o$4bo4bo$2bo8bo$2b4o2b4o$b2o2bo2bo2b2o$3b3o2b3o$3bobo2bobo$2b3ob2ob
    3o$4bob2obo$4bo4bo2$6b2o$4bo4bo$3b2o4b2o$3b2ob2ob2o$5b4o$5b4o$4b2o2b2o$2bobo4bobo$6b2o$3bo2b2o2bo$4bob2obo$4bo4bo$4bo4bo$6b2o2$5bo2bo$3b3o2b3o$2b3
    ob2ob3o$2bobo4bobo$4b6o$4b6o$4bo4bo$4bo4bo2$3bo6bo$bob2ob2ob2obo$3b3o2b3o$bo3b4o3bo$2bobo4bobo$2bo8bo$6b2o$5bo2bo$2bo3b2o3bo$3b8o$4b2o2b2o$4bob2ob
    o2$4b2o2b2o$4b2o2b2o$4b2o2b2o2$2bob2o2b2obo$3bo6bo$2bobob2obobo$6b2o$3b2o4b2o$3b3o2b3o$3b2o4b2o$4b2o2b2o$5b4o$3bob4obo$4b2o2b2o$2b3o4b3o$3b3o2b3o$
    bob3o2b3obo$2bo2bo2bo2bo$3bob4obo$3b8o$6b2o$3bo6bo$6b2o$2b10o$3b2ob2ob2o$2bo3b2o3bo$4b6o$3b2o4b2o$4bo4bo$3b2o4b2o$3b2o4b2o$3bob4obo$3bobo2bobo$3b2
    o4b2o$3b2ob2ob2o$3b2ob2ob2o$2b2ob4ob2o$2b3o4b3o$3bob4obo$2bobob2obobo$b2o8b2o$2bobo4bobo2$2bobob2obobo$b2o8b2o$2b3o4b3o$2b2o6b2o2$3bob4obo$2bo2b4o
    2bo$2b2o6b2o$b2o8b2o$2bob2o2b2obo$3bo6bo$b4o4b4o$2b2o2b2o2b2o$o3b6o3bo$o2b2o4b2o2bo$bo3b4o3bo$2o4b2o4b2o$bobo2b2o2bobo$4bob2obo$3b2ob2ob2o$4b2o2b2
    o$2b2o6b2o$3b2ob2ob2o$bobobo2bobobo$obo2bo2bo2bobo$b3o2b2o2b3o$o2bo6bo2bo$2bo2bo2bo2bo$3b3o2b3o$bo2b6o2bo$b3o6b3o$b2o8b2o$2b2ob4ob2o$4b6o$3bob4obo!
  36. ↑ 99 cells
    same result for width 11
    smallest at width 13 seems to be 109 cells
  37. ↑ 96 cells, less short but smaller is 90 cells
  38. ↑ 38.0 38.1 38.2 38.3 38.4 38.5 38.6 38.7 38.8 unique thinnest
  39. ↑ 10*30 partial
    5b2o$4b3o$7b2o$4b3obo$4bo3bo$5b3o$7bo$6bo$3bo3b2o$3b2o$3b6o$4bobob2o$5b5o$4bo$5bo$3b5o$2bobo3bo$5b2
    o2bo$b2o2bo$2b2o2bo$obobo$3obobo$b2obob2o$o2b6o$b2ob2o2b2o$2bo4b2o$bob3ob2o$2b2o3bobo$3b3o3bo$ob2o!
  40. ↑ 19*86 partial
    b4o9b4o$2b2o11b2o$2bobo9bobo$b5o7b5o$4bo9bo$b2o13b2o$bobo11bobo$2bob2o7b2obo$3b
    obo2b3o2bobo$3b3o7b3o$3b2o9b2o$3bob2o5b2obo$8b3o$9bo$7bobobo$5b2o2bo2b2o$5bo2b3
    o2bo$4bo2bo3bo2bo$4bob2o3b2obo$3bob2ob3ob2obo$6b7o$8bobo$3bo2bob3obo2bo$3b4obob
    ob4o$4b3o5b3o$4b2ob2ob2ob2o$6b2o3b2o$6b2o3b2o$6b3ob3o$5bobo3bobo$4bo2b5o2bo$4b2
    o7b2o$3b3o7b3o$4b5ob5o$6bob3obo$4bo2bobobo2bo$4b2obobobob2o$3bobo2b3o2bobo$4b4o
    bob4o$4b2obo3bob2o$3b2o2bo3bo2b2o$3bob3o3b3obo$4b2o7b2o$4b2ob2ob2ob2o$6b2o3b2o$
    4b2o2bobo2b2o$4bo9bo$4bobo5bobo$5b2o5b2o$3b3o2bobo2b3o$2bo2b2o5b2o2bo$3bo3bo3bo
    3bo$2o3bo7bo3b2o$bo3b2o5b2o3bo$2ob3o7b3ob2o$bob3o3bo3b3obo$b3obobobobobob3o$2bo
    4bobobo4bo$2b4o3bo3b4o$2b3o9b3o$4b5ob5o$2b2o3bo3bo3b2o$2bo2b4ob4o2bo$bobob2obob
    ob2obobo$3bobob5obobo$bobo2bobobobo2bobo$o2bobo2bobo2bobo2bo$b2o2bo3bo3bo2b2o$2
    o4bobobobo4b2o$ob2o2b2obob2o2b2obo$6b7o$4b3o5b3o$4b2o7b2o$4b5ob5o$2bo3bobobobo3
    bo$4bo2b5o2bo$b4obo5bob4o$4bo2bobobo2bo$bo3bobo3bobo3bo$b2obobob3obobob2o$b2obo
    b3ob3obob2o$b2o2b3o3b3o2b2o$2bob2o3bo3b2obo$4b2o2b3o2b2o$b3o11b3o$3bo3bo3bo3bo!
  41. ↑ found by ikpx2, disproof of lower widths by gfind
  42. ↑ 7*51 partial
    3b2o$3bo2bo$bo2bo$2b3obo$2o2b2o$o$b2o$bo$bob2o$2bobo$4bo2$3bobo$3b3o$4bo$3b2o$2b2o$2bo$bo2$bobo$o3bo$bobobo$o3bo$2b2o$2b2o$2b
    o$4b2o$b3ob2o$2b3obo$2b3o$bobobo$2bo$2b3o$2b3o$4bo$4bo$3bobo$b2o$ob2o$3bo$4b2o$4ob2o$7o$2bo$2bob2o$2bo$2b5o$2b5o$b2ob2o$o4bo!
  43. ↑ 11*61 partial
    3b2ob2o$2b3ob3o$2b3ob3o$2b2o3b2o$2bobobobo$3bobobo$3b2ob2o$3b5o$3bo3bo$b3obob3o$b3o3b3o$2bo5bo$2b2o3b2o$bobo3bobo2$4b3o$4bobo$4b3o$4bobo$4bobo$4b3o
    $5bo$5bo$2bob3obo$2b2o3b2o$2b7o$5bo$4b3o$3bobobo$4b3o$2b2obob2o$2bobobobo$4bobo$2bob3obo$3b5o$2bob3obo$b2o5b2o$4bobo$2b2o3b2o$4b3o$2b2obob2o$bobo3b
    obo$2bobobobo$b3o3b3o$3b2ob2o$4bobo$5bo2$b3obob3o$b3o3b3o$4bobo$3b2ob2o$bo7bo$o3bobo3bo$b4ob4o$4b3o$2bobobobo$5bo$bo2b3o2bo$2obobobob2o$b2obobob2o!
  44. ↑ 12*91 partial
    5b2o$5b2o$4bo2bo$5b2o$4b4o$3bo4bo$4bo2bo$3b6o2$2b2o4b2o$2bobo2bobo$b2ob4ob2o$b2o6b2o$b2o6b2o$3b6o$3b6o2$5b2o$3bo4bo$3bo4bo$2bobo2
    bobo$2bobo2bobo$5b2o$3b2o2b2o$2o8b2o$b3o4b3o$b2o6b2o$2o3b2o3b2o$2b8o$bo8bo2$4b4o$5b2o$4b4o2$4bo2bo$4b4o$3bob2obo$2bo2b2o2bo$b2o2b
    2o2b2o$5b2o$3b2o2b2o$2bobo2bobo2$2b2o4b2o$3b6o$b2ob4ob2o$2bobo2bobo$bob2o2b2obo$4b4o3$2bob4obo$bob6obo$b2ob4ob2o$b3ob2ob3o$3b2o2b
    2o$b4o2b4o$3b2o2b2o$4bo2bo$4bo2bo$b4o2b4o$bo8bo2$o4b2o4bo$2b8o$3b6o$2o2b4o2b2o$o10bo$b3o4b3o$b3o4b3o$5b2o$2b8o$2b2o4b2o$3b2o2b2o$
    5o2b5o$ob2o4b2obo$3b6o$2bobo2bobo$3b2o2b2o$4bo2bo$2b2o4b2o$3b2o2b2o$4bo2bo2$3bob2obo$2b2o4b2o$4bo2bo$2bobo2bobo$4ob2ob4o$o4b2o4bo!
  45. ↑ 8*51 partial
    3b2o$3b2o$2bo2bo$2b4o3$b2o2b2o$2bo2bo$ob4obo2$bo4bo$b6o$bo4bo$2b4o$2b4o$2b4o2$3b2o$3b3o$b2o3bo$2bobobo$3bob2o$2b2obo$2bob2o$4b2o$2bo2bo2$2b
    5o$bob2o$2ob2o$2bobo$2b4o2$b2o2b2o$bo2b3o$2bobo$3bo3bo$bo2b2obo$bob3o$2b3o$3b2o$2bo$b3o$4b2o$2bo2bo$2b2ob2o$2b3ob2o$2bob4o$bo3bo$b3obo$6bo!
  46. ↑ 15*168 partial
    2b2o7b2o$bo2bo5bo2bo$o4bo3bo4bo2$5bo3bo$4b3ob3o$4b3ob3o$2bo9bo$2b4o3b4o$3b2ob3ob2o$6b3o$5bobob
    o$5b5o$4b2o3b2o$4b2o3b2o$4b2o3b2o$4bo5bo$6b3o$3bobo3bobo$4b2o3b2o$3bo7bo$4bob3obo$5b5o$6bobo2$
    6bobo$5b2ob2o$2o3b2ob2o3b2o$2b2obo3bob2o$3ob7ob3o$2b11o$2bo2b2ob2o2bo$5bobobo$6bobo2$5b2ob2o2$
    7bo$6b3o$4b7o$5b2ob2o$5b2ob2o$5b2ob2o$5bo3bo$4bobobobo$4bo2bo2bo$7bo$7bo$4bob3obo$3b2o5b2o$6b3
    o$7bo$b3o2b3o2b3o$bo11bo$3b9o$b2ob2obob2ob2o$b2obobobobob2o$2bo2bo3bo2bo$3bo3bo3bo$4b7o$3b2ob3
    ob2o$b2obo5bob2o$2b2ob5ob2o$bobo2b3o2bobo$5b5o$5bobobo$2bob7obo$2bo2b2ob2o2bo$3b3o3b3o2$3b2o5b
    2o$5bobobo$5b2ob2o$3b3o3b3o$3bo7bo$3bo7bo$4b2o3b2o$4b2o3b2o$3bo3bo3bo$b2o2bo3bo2b2o$2bobo5bobo
    $2bobo2bo2bobo$4bo5bo$2b2o7b2o$3bo7bo$4b2obob2o$3bob2ob2obo$2bo2bobobo2bo$2bo9bo$bobo3bo3bobo$
    b3o7b3o$bobo3bo3bobo$5bo3bo$4bob3obo$5bo3bo$6bobo$2b3o5b3o$2b2obo3bob2o$bo11bo$3bobo3bobo$4b2o
    3b2o$3b4ob4o$2b3obobob3o$2b2obo3bob2o$2bo9bo$6bobo$4b3ob3o$2b2ob2ob2ob2o$2b3o2bo2b3o$b6ob6o$bo
    bo2b3o2bobo$2bo9bo$2bo9bo$bobo7bobo$o13bo$bob2o5b2obo$3bo7bo$4o7b4o$2bo9bo$2bob2o3b2obo$bob2o5
    b2obo$2bo9bo$2bobobobobobo$3bobo3bobo$3b9o2$2bob3ob3obo$2bo4bo4bo$3bo7bo$2o11b2o$ob4o3b4obo$bo
    11bo$2b11o$bo3b2ob2o3bo$2b4o3b4o$2bo2bo3bo2bo$b2o3bobo3b2o$bo2bobobobo2bo$2bobo5bobo$b3o7b3o$3
    b3o3b3o$5b2ob2o$3bobo3bobo$2b2o7b2o$3b2obobob2o$2bob7obo$2b2o2b3o2b2o$4b2o3b2o$2bo3bobo3bo$3b2
    o5b2o$2bob2obob2obo$2bob7obo$2b2o7b2o$bo11bo$5bo3bo$6b3o$2b3obobob3o$3b2o5b2o$b2obo5bob2o$b2o2
    b5o2b2o$b2o2bo3bo2b2o2$3obo5bob3o$b4o2bo2b4o$o3b2o3b2o3bo$o3bobobobo3bo$3bo2bobo2bo$4ob5ob4o!

    13*71 partial
    b3o5b3o$o2bobobobo2bo$obobo3bobobo$b2obo3bob2o$3b3ob3o$3b3ob3o2$5b3o$4b2ob2o$4b5o$4bo3bo$4bobobo$5bobo$2bob2ob2obo$2bo2bobo2bo$2bob
    2ob2obo$2bobo3bobo$3b2o3b2o$2b9o$bo2b5o2bo$2b2o5b2o$bo2bo3bo2bo$bob2o3b2obo$bobo5bobo$3obo3bob3o$bobo2bo2bobo$2b2o2bo2b2o$2b2obobob
    2o$2bo2b3o2bo$4bo3bo$4b2ob2o$b3o5b3o$2b2o5b2o$2b2o5b2o$2bo7bo$4bo3bo$3b3ob3o$4bo3bo$3bo2bo2bo$5bobo2$3b2o3b2o$2b4ob4o$4b5o$3b3ob3o$
    b3o5b3o$2bo2b3o2bo$b2o3bo3b2o$2bob2ob2obo$3b2obob2o$2bo3bo3bo$2b2o5b2o$bobob3obobo$2b2o2bo2b2o$b3o2bo2b3o$4b5o$2b4ob4o$b2ob5ob2o$b2
    ob2ob2ob2o$o2bobobobo2bo$2b2o2bo2b2o$b2obo3bob2o$b3o5b3o$bobo2bo2bobo$3bo2bo2bo$2b4ob4o$bo9bo$bo9bo$b2o2bobo2b2o$2o4bo4b2o$4b2ob2o!
  47. ↑ 16*286 partial
    3b2o6b2o$2b4o4b4o$3b2o6b2o$2bo2bo4bo2bo$3b2o6b2o$7b2o$5b6o$5b6o$4bo6bo$4bo6bo$2bob3o2b3obo$b4o6b4o$3b
    3o4b3o$3b2o2b2o2b2o$b2o2b6o2b2o$3b2o6b2o$2bo3bo2bo3bo$4bo2b2o2bo$3bo8bo$2b2obob2obob2o$bob4o2b4obo$ob
    2o8b2obo$bo12bo$4bo6bo$3b3o4b3o$2bob3o2b3obo$4bobo2bobo$6bo2bo$5bo4bo$5bo4bo$2bo2bob2obo2bo$bob4o2b4o
    bo$bo2bobo2bobo2bo$4bo6bo$3b2obo2bob2o$5bo4bo2$4b3o2b3o$3bo8bo$2bo10bo$2bo2bo4bo2bo$2bo2bo4bo2bo$2bob
    o6bobo$5bob2obo$5b6o$6bo2bo$6bo2bo$6b4o$6b4o$6b4o2$5b2o2b2o2$5bob2obo$4b2o4b2o$3b4o2b4o$2o4b4o4b2o$4o
    bob2obob4o$2bobo2b2o2bobo$6b4o$2bob2ob2ob2obo$3bo3b2o3bo$3bo3b2o3bo$3bo2b4o2bo$2b2o8b2o$2bob2o4b2obo$
    3bobob2obobo$3bo3b2o3bo$3bo2bo2bo2bo$7b2o$6bo2bo$7b2o$6b4o$6bo2bo$4b2o4b2o$7b2o$6bo2bo2$6bo2bo$7b2o$4
    b2ob2ob2o$4b8o$3b3ob2ob3o$3bo8bo$5b6o$4bob4obo$7b2o$4b2o4b2o$6bo2bo$6b4o$5bo4bo$5b6o$5b6o$4bo6bo$4b2o
    4b2o$3bobo4bobo$3b3o4b3o$4bo6bo$2b2o2bo2bo2b2o$bo12bo$b2o10b2o2$3b3o4b3o$3b3o4b3o$3b3o4b3o$3b2o6b2o$2
    b3ob4ob3o$3b10o$4b2o4b2o$4bob4obo$5b6o$2bo2b6o2bo$b4o6b4o$2bobobo2bobobo$2bob2o4b2obo$2o3bob2obo3b2o$
    3obobo2bobob3o$3bobo4bobo$3bo8bo$3b2o6b2o$3b3o4b3o$4b2ob2ob2o$4bob4obo2$4bobo2bobo$2b3ob4ob3o$2b2ob2o
    2b2ob2o$3bo8bo$2b2ob2o2b2ob2o$5b2o2b2o$4bo2b2o2bo$4b2ob2ob2o$2bobo2b2o2bobo$2bobob4obobo$2b2obob2obob
    2o$6b4o$b3ob6ob3o$3bobob2obobo$4bobo2bobo$4bo6bo$4bobo2bobo$5b2o2b2o$6b4o2$6b4o2$5bob2obo$5b2o2b2o$5b
    2o2b2o$7b2o$4bo6bo$6b4o$6b4o$7b2o$7b2o$4bo6bo$4bo6bo$7b2o$5b2o2b2o$5bo4bo$3b10o$3b10o$4bo2b2o2bo$5b2o
    2b2o$5b2o2b2o$5b2o2b2o2$4b2o4b2o2$3bo8bo$4b3o2b3o$2b2obo4bob2o$3bo2bo2bo2bo2$2bobo6bobo$2b4o4b4o$3bob
    o4bobo$2bo2bo4bo2bo$2bo2bo4bo2bo$2bobo6bobo$3bo8bo$3b2o6b2o$5bo4bo$2b4o4b4o$2b2o8b2o$3b2o6b2o$2bobo6b
    obo$5bo4bo$4b3o2b3o$3b3o4b3o$2b3o2b2o2b3o$3b2o6b2o$4bo6bo$3bobob2obobo$3bobob2obobo$b14o$5bob2obo$bob
    obo4bobobo$bob3o4b3obo$obob2o4b2obobo$3b10o$3bo2b4o2bo$4bobo2bobo$3bob6obo$5bob2obo$7b2o$6bo2bo$3bo3b
    2o3bo$3b3ob2ob3o$3b3o4b3o$5bo4bo$b2o10b2o$b2o10b2o$3b3o4b3o$3b2o6b2o$3bobo4bobo$5bo4bo$2bob8obo$b4ob4
    ob4o$4bo6bo$7b2o$5bo4bo$2bob3o2b3obo$3bo3b2o3bo$3bo8bo$2bob8obo$2b3obo2bob3o$2b3ob4ob3o$5b6o$4b2o4b2o
    $6b4o$3b2obo2bob2o$4bo2b2o2bo$7b2o$2b3o2b2o2b3o$2bobobo2bobobo$2b4ob2ob4o$2b3o2b2o2b3o$2b3o2b2o2b3o$b
    ob3o4b3obo$3b3o4b3o$7b2o2$4b2ob2ob2o$2b5o2b5o$2bo2bo4bo2bo$3b2o6b2o$2bobob4obobo$3b3o4b3o$4bo6bo$5b2o
    2b2o$5b2o2b2o$3bobob2obobo$3b2o2b2o2b2o$3b2ob4ob2o$3bobob2obobo$b4o6b4o$2b2o2bo2bo2b2o$b2obobo2bobob2
    o$2bo2bob2obo2bo$2bob2ob2ob2obo$3bo8bo$6b4o$4bo2b2o2bo$3b2o2b2o2b2o$2bob8obo$4obo4bob4o$4bo6bo$bob3o4
    b3obo$2bob2ob2ob2obo$5bob2obo$4bobo2bobo$3bo8bo$2b3o2b2o2b3o$3b2ob4ob2o$2b5o2b5o$b4ob4ob4o$b3o2bo2bo2
    b3o$3b3o4b3o$2b3obo2bob3o$3bobo4bobo$3bobob2obobo$bo2bobo2bobo2bo$2b2o3b2o3b2o$o6b2o6bo$b2o3bo2bo3b2o!

    14*98 partial
    6b2o$5b4o3$5bo2bo$4bo4bo$4bo4bo$6b2o$4b2o2b2o$3bo2b2o2bo$4bob2obo$4b2o2b2o$4b2o2b2o$5bo2bo2$4b2o2b2o$5bo2bo$4b2o2b2o$3bo6bo$3bob4obo$3b2o4b2o$
    6b2o$4b6o$4bo4bo$2b3ob2ob3o$3bob4obo$2b3o4b3o$b4o4b4o$2b2o6b2o$2bo8bo$obobo4bobobo$3b3o2b3o$2bo3b2o3bo$4b6o$3bo6bo$3b2o4b2o$4b2o2b2o2$4bob2obo
    $5b4o$4b6o$6b2o$2bo3b2o3bo$2b3o4b3o$bo3bo2bo3bo$bo2b2o2b2o2bo$2o10b2o$b2o3b2o3b2o$3bo6bo$3b8o$5bo2bo$4bob2obo$3bo2b2o2bo$2bob2o2b2obo$2b3ob2ob
    3o$3bo6bo$2b4o2b4o$4b2o2b2o$2bobob2obobo$b3o2b2o2b3o2$2bobo4bobo$4b2o2b2o$4bob2obo$4bo4bo$5bo2bo$3bob4obo$3bo6bo2$2bo2bo2bo2bo$6b2o$2b2obo2bob
    2o$3bob4obo$o2bob4obo2bo$b2ob2o2b2ob2o$4b2o2b2o$4b6o$2b3ob2ob3o$b3obo2bob3o$2b2obo2bob2o$b2obo4bob2o$3bobo2bobo$bobobo2bobobo$5bo2bo$2o2b6o2b2
    o$3bobo2bobo$5bo2bo$bob3o2b3obo$b2o3b2o3b2o$o4bo2bo4bo$3o2b4o2b3o$2bo3b2o3bo$3b2o4b2o$6b2o$3b2ob2ob2o$bo4b2o4bo$2o2bob2obo2b2o$o2bo2b2o2bo2bo!
  48. ↑ 23*60 partial
    10bobo$8b2obob2o$7b2obobob2o$6bob2obob2obo$6bo3bobo3bo$5b3o2bobo2b3o$5bob2obobob2obo$5b4o5b4o$8bob3obo$4bob2
    o3bo3b2obo$7bobobobobo$3bob4ob3ob4obo$3b2o3bo5bo3b2o$2b3o3b3ob3o3b3o$5bo2bobobobo2bo$5bo3b2ob2o3bo$5bo2bobob
    obo2bo$5bob2ob3ob2obo$4b3obob3obob3o$3b3o3bobobo3b3o$2bob2ob2o2bo2b2ob2obo$bob2ob3o5b3ob2obo$o3bo4b5o4bo3bo$
    b2o2bo2bo5bo2bo2b2o$2bo4bob2ob2obo4bo$2bo5bo5bo5bo$2b5o9b5o$4b3ob7ob3o$3bo5b5o5bo$3b3o2bo5bo2b3o$7bo3bo3bo$2
    b6ob2ob2ob6o$10b3o$3bo15bo$2bob2obo2b3o2bob2obo$3bo2b3o5b3o2bo$10bobo$4bob3obobob3obo$6bobo5bobo$7bob2ob2obo
    $3b3ob2ob3ob2ob3o$2b2o2b2ob5ob2o2b2o$6bobo5bobo$3b3o2bo2bo2bo2b3o$3bobo3bobobo3bobo$3bo3b2o2bo2b2o3bo$2bo3b2
    obobobob2o3bo$2b5o4bo4b5o$7bo3bo3bo$b4o3bobobobo3b4o$bo5b2ob3ob2o5bo$2bo2bo3bo3bo3bo2bo$3bobo5bo5bobo$o4b2ob
    3ob3ob2o4bo$3o4b2ob3ob2o4b3o$2bo3bo2b2ob2o2bo3bo$10b3o$bob4o2bo3bo2b4obo$2bobo13bobo$b2o2bob2ob3ob2obo2b2o!
  49. ↑ 24*140 partial
    7bo2b4o2bo$6b2ob6ob2o$5b2obo6bob2o$5b5ob2ob5o$5bo2b2ob2ob2o2bo$8b2o4b2o$6b2ob2o2b2ob2o$6b2ob2
    o2b2ob2o$5b2ob2ob2ob2ob2o$4bob2obob2obob2obo$4b3obo6bob3o$5b5o4b5o$7b4o2b4o$4b5obo2bob5o$3bob
    o2b2o4b2o2bobo$4bo2bo8bo2bo$3bobo12bobo$3b5obo4bob5o$4b2obo8bob2o$2b2obobo8bobob2o$3b2ob3o6b3
    ob2o$7b3o4b3o$7b2o6b2o$5b5o4b5o$3b2ob2o8b2ob2o$3bob5o4b5obo$7b2o6b2o$5b2obo6bob2o$4b4o8b4o$2b
    2o3bo8bo3b2o$3b2o4b6o4b2o$2b7ob4ob7o$3bo2bo3bo2bo3bo2bo$5bo3b2o2b2o3bo$5bobo2bo2bo2bobo$4bob4
    ob2ob4obo$10bo2bo$6bobobo2bobobo$7b3ob2ob3o$8b3o2b3o$5b2o2b2o2b2o2b2o$5bo4b4o4bo$6bo3bo2bo3bo
    $6b2ob2o2b2ob2o$4b2o4bo2bo4b2o$5b2obo2b2o2bob2o$2bobo3bo6bo3bobo$9bo4bo$b2o2b3o8b3o2b2o$2bobo
    2bobob2obobo2bobo$4b3o3bo2bo3b3o$3o3bob8obo3b3o$4b4o8b4o$5b2o10b2o$2b2o2b3ob4ob3o2b2o$bobo4bo
    2b2o2bo4bobo$b2o6bob2obo6b2o$2bo6b2o2b2o6bo$2bobo2bo8bo2bobo$3b2o4b2o2b2o4b2o$3b2o2b4o2b4o2b2
    o$2bobo2bo2bo2bo2bo2bobo$2bobo2bobo4bobo2bobo$3bo4bo6bo4bo$4bo4b6o4bo$2bo3b2o3b2o3b2o3bo$3bo4
    b3o2b3o4bo$bob4obo6bob4obo$bo20bo$2b2o4bo6bo4b2o$4bob3o6b3obo$4b5o6b5o$4b2o2bobo2bobo2b2o$6bo
    bobo2bobobo$3bo4bo2b2o2bo4bo$5bo2bobo2bobo2bo$5b3o8b3o$4bo2b3ob2ob3o2bo$3b2o4b6o4b2o$3bob6o2b
    6obo$6bobo6bobo$3b2o3b3o2b3o3b2o$3bob5o4b5obo$3b2ob2o8b2ob2o$2b3o14b3o$b2ob2obo8bob2ob2o$2bob
    2ob2o6b2ob2obo$2bo2bobo8bobo2bo$b2obo3bo6bo3bob2o$bobo16bobo$o3bob2o8b2obo3bo$bo5bo8bo5bo$3bo
    b2o10b2obo$bo2b2obo8bob2o2bo$2b3o2bo8bo2b3o$bo2bo2b2ob4ob2o2bo2bo$5bob3o4b3obo$2bo7b4o7bo$b2o
    4b2o6b2o4b2o$o2bo3b2o6b2o3bo2bo$6bob3o2b3obo$2bo3bo2bob2obo2bo3bo$2b2o2b4ob2ob4o2b2o$3bo2bo10
    bo2bo$2bo2bob10obo2bo$3b3o2bo2b2o2bo2b3o$b2o2bo2bo6bo2bo2b2o$bobobob3ob2ob3obobobo$6bobo2b2o2
    bobo$8bob4obo$3b2ob2o8b2ob2o$b3o2b2ob2o2b2ob2o2b3o$3o3bo4b2o4bo3b3o$bo2b4obo4bob4o2bo$3b2o2bo
    bob2obobo2b2o$bobobo2b2o4b2o2bobobo$3b2o2b4o2b4o2b2o$2b2o2bo10bo2b2o$2bo2b2o2b2o2b2o2b2o2bo$b
    3o4bobo2bobo4b3o$2b2obo12bob2o$b2o2bo4bo2bo4bo2b2o$bobob2obobo2bobob2obobo$3b5o3b2o3b5o$b6obo
    bo2bobob6o$3bo2b2o2bo2bo2b2o2bo$3bobobo3b2o3bobobo$2bobo2b2ob4ob2o2bobo$2b2o2b2obo4bob2o2b2o$
    3b2ob4o4b4ob2o$3bo4b3o2b3o4bo$2b2o2b3o6b3o2b2o$4bo14bo$4b3o3b4o3b3o$6bobobo2bobobo$2bobo3b2ob
    2ob2o3bobo$2bo4bobob2obobo4bo$bobobo5b2o5bobobo$o5bobo2b2o2bobo5bo$obobob2o2bo2bo2b2obobobo!
  50. ↑ 11*101 partial
    3bo3bo$3b5o$2b2obob2o$3bobobo$2bobobobo$3bo3bo$4bobo$4b3o$3obobob3o$4bobo$4b3o2$3bobobo$3b5o$4bobo$3bo3bo$3b2ob2o2$4b3
    o$5bo$3b5o$3b5o$3bo3bo$bobo3bobo$2b2o3b2o$b3obob3o$b4ob4o$4bobo2$5bo$2bo5bo$2b2obob2o$bob5obo$4bobo$bo2b3o2bo$2b2obob2
    o$bob2ob2obo$b4ob4o$bo7bo$bobo3bobo$3bo3bo$3b2ob2o$3b2ob2o$4bobo$5bo2$4b3o$3bo3bo$2b2o3b2o$2b3ob3o$3b2ob2o$4bobo$3bo3b
    o$3bo3bo$4bobo$3b5o$5bo$2bo2bo2bo$3b2ob2o$2b2o3b2o$2bo5bo$3b2ob2o$3b2ob2o$3b5o$3b5o$4bobo$b3obob3o$2b2obob2o$2bobobobo
    $ob2o3b2obo$obo5bobo$4bobo$3bo3bo$5bo$2b3ob3o$2b2o3b2o$2bo5bo$bo3bo3bo$2b7o$2b7o$3b5o$4bobo2$3bo3bo$2b7o$bobobobobo$b9
    o$2b3ob3o$b2o5b2o$5bo$bo7bo$2o2bobo2b2o$bo2b3o2bo$2b7o$bo7bo$2ob2ob2ob2o$bobo3bobo$b2obobob2o$o3b3o3bo$bo3bo3bo$4bobo!
  51. ↑ 12*120 partial
    4b4o$5b2o$4bo2bo$2b2o4b2o$3bo4bo$2bo6bo$b2o6b2o$b10o2$3bo4bo$4bo2bo$2b3o2b3o$3bob2obo$2bo6bo$3b2o2b2o$3
    bo4bo$bo8bo$4b4o$b2obo2bob2o$2bobo2bobo$bobob2obobo2$o4b2o4bo$bo2bo2bo2bo$2b2ob2ob2o$4b4o2$3b6o$3b2o2b2
    o$4ob2ob4o$o2b2o2b2o2bo$b10o$ob3o2b3obo2$2b2o4b2o$bob2o2b2obo$bo8bo$4bo2bo$3b2o2b2o$4bo2bo$2b2o4b2o$b4o
    2b4o$o2b6o2bo$2o2b4o2b2o$bob6obo$2bo6bo$3bo4bo2$3b2o2b2o$3b2o2b2o$3b2o2b2o$4bo2bo$3bo4bo$4b4o$3bo4bo$3b
    ob2obo$3b2o2b2o$3b2o2b2o$5b2o$4bo2bo$4b4o$2b3o2b3o$3bob2obo$3b6o$3b6o$b4o2b4o2$2bobo2bobo$2bo2b2o2bo$2b
    8o$b2o6b2o$2bob4obo$4b4o2$bo8bo$ob8obo$3bo4bo$4bo2bo$4bo2bo$5b2o$4bo2bo$2bo2b2o2bo$3b2o2b2o$3b6o$3b2o2b
    2o$2b8o$bo8bo$obobo2bobobo$bobo4bobo$bo2bo2bo2bo$2b2o4b2o$2b3o2b3o$3b2o2b2o$2b8o$2bobo2bobo$b2o6b2o$b2o
    6b2o$bob6obo$4bo2bo$3b2o2b2o$2bob4obo$3bo4bo$bob2o2b2obo$bo3b2o3bo$bo2b4o2bo$bo2b4o2bo$2bo6bo2$2bobo2bo
    bo$b10o$2b3o2b3o$bo8bo$bo2b4o2bo$bo2bo2bo2bo$b4o2b4o$2obo4bob2o$obob4obobo$bo2bo2bo2bo$12o$b2o2b2o2b2o!
  52. ↑ 7*34 partial
    4b2o$3b4o2$5b2o$5bo$5bo$3bo$2b3o$2b4o$3bo2$2bo$ob2o$bo2b3o$2o$4bo$5bo$2b2obo$5b2o$3
    b2obo$3b3o$2bob2o$3bo$3b2o$2b3o$5o$o2b2o$b2o2bo$bob3o$3b2o$2bobo$2bo3bo$bo$ob2ob2o!
  53. ↑ 13 × 34 partial
    .....oo......$
    ....oooo.....$
    ......oo.....$
    ....o.o.oo...$
    ...oooooo..o.$
    ....ooo...oo.$
    .oooo..o.oo..$
    .o.oo.o.o.o..$
    .o.....o..oo.$
    ...ooo.oo..o.$
    .oo.o.ooo..o.$
    .oo.o..o.oo..$
    .......o.....$
    ..o...o.o.o..$
    ....o.oooo.o.$
    ....o.o..oo..$
    .ooooo.o..o..$
    .ooo...o.o.o.$
    ..o.o..oo.oo.$
    .o.oo.ooooo..$
    o.......o.oo.$
    ..o.o.ooo.oo.$
    ...o..oo...o.$
    ..o..o..oo...$
    ..o..o.o.oo..$
    ..o.....oo.o.$
    .o.ooo....oo.$
    o....o.o..oo.$
    .o....o....oo$
    ooo.o..ooo...$
    ...oo..o..ooo$
    oo..oo..o..oo$
    ..o.o........$
    oo.oooooo..!
  54. ↑ 12*70 partial
    5b2o$4b4o$5b2o$4bo2bo$4bo2bo$3b6o$2b2o4b2o$3b6o$3b2o2b2o$3b6o$4b4o2$4b4o$4bo2bo$5b2o$3b6o$4bo2bo$4bo2bo$4b4o$4bo2bo$4bo2bo$5b2o$4b
    4o$4b4o$bobo4bobo$3bo4bo$b3o4b3o$2b2o4b2o$b2o6b2o$ob3o2b3obo$b2o2b2o2b2o$12o$2b8o$3b6o2$2b2o4b2o$bobo4bobo$2ob2o2b2ob2o$bo2bo2bo2b
    o$b3o4b3o$b2obo2bob2o$3b2o2b2o$3bob2obo$2bo2b2o2bo$5b2o$2b8o$4bo2bo$5b2o$b2obo2bob2o$2bo6bo$3bob2obo$3bo4bo$2bo2b2o2bo$4bo2bo2$3b2
    o2b2o$3bob2obo$5b2o2$2b8o$bo3b2o3bo$bo3b2o3bo$bo2bo2bo2bo$2bo2b2o2bo$2bo2b2o2bo$b4o2b4o$b2obo2bob2o$b2obo2bob2o$2bob4obo$3bob2obo!
  55. ↑ 13*61 partial
    b4o3b4o$b4o3b4o$2b2o5b2o$bob2o3b2obo$bo3bobo3bo$2bo2bobo2bo$3b3ob3o$b2o7b2o$b4o3b4o$2bo7bo$2b
    2o5b2o$bo2bo3bo2bo$bo2b2ob2o2bo$bo4bo4bo$b5ob5o$4b2ob2o$4bo3bo$3b2o3b2o$3bo5bo$4b2ob2o$5b3o$4
    bobobo$3b2obob2o$4b2ob2o$3b2obob2o$2bob2ob2obo$3bo5bo$2bo2bobo2bo$b3obobob3o$3b2o3b2o$bo3bobo
    3bo2$3bo5bo$b2obo3bob2o$b2ob2ob2ob2o$b2ob2ob2ob2o$b3o5b3o$3bo5bo$4bo3bo$bo2bo3bo2bo$2b2o5b2o2
    $2bob5obo$b3ob3ob3o$3bo5bo$2b4ob4o$3bobobobo$bo2b5o2bo$5bobo$b2ob2ob2ob2o$5bobo$2b2o2bo2b2o$b
    4obob4o$2bob5obo$3ob5ob3o$2obob3obob2o$bo2b5o2bo$2b4ob4o$b2ob5ob2o$bobo2bo2bobo$ob2obobob2obo!
  56. ↑ 12*48 partial
    4b4o$2b8o$4b4o$b2obo2bob2o$3bo4bo$3bob2obo$2b2o4b2o$2b2o4b2o$3b2o2b2o$4bo2bo$3b6o$5b2o$2bo6bo$2o8b2o$bobo4bobo2$3b2o2b2o$b2o6b2o$2bo6bo$3bo4bo$bo3b2o3bo2$2o8b2o$12o$b10o$2b2o4b2o$
    3bo4bo$4b4o$4bo2bo$2b2ob2ob2o$2bo6bo$3bob2obo$ob2o4b2obo$ob3o2b3obo$b10o$2bo2b2o2bo$2obob2obob2o$b4o2b4o$bob6obo$5b2o$bo8bo$3bob2obo$2b2o4b2o$5o2b5o$4o4b4o$bo3b2o3bo$3b6o$b2o6b2o!

    14*54
    6b2o$4b2o2b2o$3b8o$3bobo2bobo$3b2o4b2o$4b6o$4b6o$4b2o2b2o$4b2o2b2o$5b4o$5b4o$4bo4bo$2b3o4b3o$2b2o6b2o$2b3o4b3o$3b2o4b2o$3b3o2b3o2$3bo6bo$b2obo4bob2o$b4o4b4o$2ob2o
    4b2ob2o$2b3o4b3o$2bo2b4o2bo$3bo2b2o2bo$2bo2bo2bo2bo$4b6o$bo4b2o4bo$5bo2bo$3b3o2b3o$4b2o2b2o$4bo4bo$2bo2bo2bo2bo$2bo2bo2bo2bo$2bo2bo2bo2bo$2b2obo2bob2o$5b4o$3bo6bo
    $4b2o2b2o$2b2obo2bob2o$bobob4obobo$bo4b2o4bo$b5o2b5o$4bob2obo$3b2ob2ob2o$2b3o4b3o$3b3o2b3o$2ob8ob2o$o3b2o2b2o3bo$2bob2o2b2obo$2bo2b4o2bo$3bo2b2o2bo$o12bo$bob8obo!

    16*70
    6b4o$4b8o$6b4o$3b2obo2bob2o$5bo4bo$5bob2obo$4b2o4b2o$4b2o4b2o$5b2o2b2o$6bo2bo$5b6o$7b2o$4bo6bo$2b2o8b2o$3bobo4bobo2$
    5b2o2b2o$4bo6bo$3b2o6b2o$3b2o6b2o$2bo2b2o2b2o2bo$b2o2b2o2b2o2b2o$3b3ob2ob3o$7b2o$3b2o2b2o2b2o$3b3ob2ob3o$3b2o6b2o$3b
    obo4bobo$3b3o4b3o$2bobob4obobo$3bob2o2b2obo$5b6o$4bo6bo$3bo3b2o3bo$2b2o2bo2bo2b2o$4b3o2b3o$3b2o6b2o$3b3ob2ob3o$7b2o$
    4b2o4b2o$3bo2bo2bo2bo$3b2o2b2o2b2o$5b2o2b2o$4bo2b2o2bo$5b6o$4b3o2b3o$bob2obo2bob2obo$o3bobo2bobo3bo$2o3bob2obo3b2o$2
    b3o2b2o2b3o$4b3o2b3o$3bo2bo2bo2bo$3bob2o2b2obo$2bob8obo$b2o3bo2bo3b2o$b2o4b2o4b2o$bo2b2o4b2o2bo$bobobob2obobobo$2b2o
    8b2o$5bo4bo$b2o3b4o3b2o$2b12o$b4o6b4o$ob3o6b3obo$3b2o6b2o$b2o3bo2bo3b2o$b14o$b2o2b6o2b2o$2b2obo4bob2o$2bob2ob2ob2obo!
  57. ↑ 19*47 partial
    2b15o$b4o4bo4b4o$5b2obobob2o$b2obob2o3b2obob2o$2b2o2b2o3b2o2b2o$bo4b3ob3o4bo$4bobob3obobo$6bob3obo$bobo2b3ob3o2bobo$b3obo2bobo2bob3o$b2o2bobo3bobo2b2o$3bob
    2o5b2obo$6b3ob3o$5bobo3bobo$2bo2bo2bobo2bo2bo$bo2bobo5bobo2bo$b2ob2o7b2ob2o$b4ob7ob4o$bob2obob3obob2obo$2bo6bo6bo$b2ob11ob2o$bo2bo9bo2bo$3b2ob7ob2o$b3o2b2o
    3b2o2b3o$bo2bobo5bobo2bo$b2o2bobo3bobo2b2o$b2o5bobo5b2o$3bo2bobobobo2bo$bob5o3b5obo$7bo3bo$2o4bo5bo4b2o$b3o11b3o$bo3bob2ob2obo3bo$bob2o2bo3bo2b2obo$2bo3bo5b
    o3bo$b3obo7bob3o$b3o11b3o$2bo4bo3bo4bo$7ob3ob7o$bob4o5b4obo$2ob5o3b5ob2o$5bobo3bobo$3b2o3bobo3b2o$3b3o2bobo2b3o$3bob2o2bo2b2obo$3b3o2bobo2b3o$3o3b3ob3o3b3o!
  58. ↑ 20*30 partial
    8b4o$6b8o$5b3o4b3o$8bo2bo$3bo3bob2obo3bo$4b2o2bo2bo2b2o$2b2o2bo2b2o2bo2b2o$2b2ob2obo2bob2ob
    2o$3bob10obo$3bo3bo4bo3bo$3bobo2bo2bo2bobo$5bo8bo$5b3ob2ob3o$5b4o2b4o$5bobo4bobo$7b6o$6bo6b
    o$2b3ob3o2b3ob3o$4bob2ob2ob2obo$b3ob3ob2ob3ob3o$bob3o8b3obo$2b2o2b2o4b2o2b2o$5b2o6b2o$3bobo
    bo4bobobo$b3obobob2obobob3o$bo2bo3bo2bo3bo2bo$o5bobo2bobo5bo2$ob3obo6bob3obo$bo4b3o2b3o4bo!
  59. ↑ if h=8, w>31
  60. ↑ 219-cell h14a partial found in 2584s
  61. ↑ if h=6, w>32; if h=7, w>24; if h=8, w>18; if h=9, w>16
  62. ↑ via LLSSS in 1815s; widest partial:
                      .
                     ...
                    .....
                   .......
                  .........
                 ...........
                .............
               ...............
              ........***......
             ..........****....
            .......***.*......
           ........*.........
          ........*.***.....
         ......**...*......
        .....***..*.......
       .....***..*.......
      ......*....*......
     .......***........
    .....*.*...*......
    ....**....**.....
     .**..****......
      .***.........
       ***........
        .........
         .*.....
          *....
           ...
            .
  63. ↑ tied for minimal population (170) is this backend variant
  64. ↑ although shortest, it is 62 cells, a longer one is 61
  65. ↑ first found in [11] and rediscovered with gfind
    disproven up to 20 with both qfind and gfind
  66. ↑ found with rlifesrc, confirmed no w10a's with gfind; however note that under ikpx2's staggered-rows metric, this spaceship is of minimal width 10
    bounding box 72 × 72 < bb ≤ 78 × 78
  67. ↑ 70 cells, though there is a different midsection joint that makes it 74 cells
  68. ↑ found by yujh with rlifesrc (they say it's probably minimal), after preceding width disproven by me
    their 64-cell w18glide from [8] also works in here
  69. ↑ 69.00 69.01 69.02 69.03 69.04 69.05 69.06 69.07 69.08 69.09 69.10 69.11 69.12 though preceding width has been disproven, this was not found in an exhaustive search so is not guaranteed to be of minimal height
  70. ↑ smallest w17glide by bounding box, although this one has a larger interesting (p6) region and lower minpop
  71. ↑ was first found in [14], is smallest w18e at 274 cells (with second-smallest being 316)
  72. ↑ took 9322s, longest partial
  73. ↑ 914 cells, second shortest is 1166
  74. ↑ from [16]; this is also the shortest w39a. shortest height unknown but exceeds 18, per LLSSS search by Darcy Li;
                    *
                   * *
               * *
               * *  **
               **  ***
             *  *   *
            **   * *
           *      *

          ** *
          *
          *   ***
           **

            *  *
            *
          ***
             *
          *  **
          *  *
        **** **
       *      ***
      *    *       *
        *  *         *
     **   *     *** **
     *   *      *  **
     *  *        * *
        *  * *   * *
      **          *
        * **   *  **
        * **   *  ***
          * *  *  ***
       *** *    *  *
       *    **
       * *     *
      *    * **
      ** *   *
     * *   *
    **    *
     *  *** *
    </ref>
  75. ↑ w23a disproven by rlifesrc, w24a found by LLSSS
  76. ↑ took 31551s; see 14 × 47 longest partial
  77. ↑ 77.0 77.1 this is also the shortest at w15a and also at LLSSS floating width 14 (thinnest possible) and 15
    minimum height >9
  78. ↑ 78.0 78.1 is also shortest up to w37o
  79. ↑ 17*49 partial
    7b3o$6bo3bo$6bo3bo$4bob5obo$4bobo3bobo2$6b2ob2o$3bo9bo$3bo2b2ob2o2bo$5bobobobo$5b2o3b2o$4b3o3b3o3$7bobo$8bo$8bo$5b3ob3o2$4b4ob4o$3b4o
    3b4o$4b2o5b2o$8bo$7bobo$7bobo$3bobo5bobo$3bobo5bobo$3b2o7b2o$6b2ob2o$4bo2bobo2bo$5bobobobo$2bo11bo$b3o9b3o2$b3o9b3o$2b3o2b3o2b3o$b2o
    bo2bobo2bob2o$3obo2b3o2bob3o$4bo2bobo2bo$7b3o$5bo5bo$4b2o5b2o$2bobo2b3o2bobo$bo5b3o5bo$b3o9b3o$ob3ob2ob2ob3obo2$2bo2b2o3b2o2bo$o15bo!
  80. ↑ 80.0 80.1 15*44 partial
    6b3o$5bo3bo$5bo3bo$3bob5obo$3bobo3bobo2$5b2ob2o$2bo9bo$2bo2b2ob2o2bo$4bobobobo$4b2o3b2o
    $3b3o3b3o3$6bobo$7bo$7bo$4b3ob3o2$3b4ob4o$2b4o3b4o$3b2o5b2o$7bo$6bobo$6bobo$2bobo5bobo
    $2bobo5bobo$2b2o7b2o$5b2ob2o$3bo2bobo2bo$4bobobobo$bo11bo$3o9b3o2$3o9b3o$2b2ob2ob2ob2o$
    2bo3bobo3bo$obo2b2ob2o2bobo$3ob2o3b2ob3o$3bobo3bobo$3bo3bo3bo$3bo3bo3bo$7bo$2bobo5bobo!
  81. ↑ 16*34 partial (becomes width-18 on generation 2)
    b2o10b2o$2o12b2o$4bo6bo$5bo4bo3$b5o4b5o$2b2ob6ob2o$6bo2bo$3bo2bo2bo2bo$3bo2bo2bo2bo2$5b2o2b2o$5b2o2b2o$4b2o4b2o$3bo8bo$2bo10bo$2b2obo4bob2o$2bo3b
    4o3bo$o2b3o4b3o2bo$o4bob2obo4bo2$2o2bo6bo2b2o$3o10b3o$2bo2bo4bo2bo$bo2b2o4b2o2bo$4bobo2bobo$o14bo$2o12b2o$o5b4o5bo$b5o4b5o$bo12bo$5bo4bo$b5o4b5o!
  82. ↑ 19*42 partial
    2b2o11b2o$bo15bo$5bo7bo$5bo7bo$2b5o5b5o$3bo11bo$2o2b3o5b3o2b2o$8bobo$bobo4bobo4bobo$5b3o3b3o$5bobo3bobo$5bo7bo$
    8bobo$3b3o7b3o$5bo2bobo2bo$4bo2bo3bo2bo$6bo5bo$6bo5bo$4b2o2bobo2b2o$7b2ob2o$3bo3bo3bo3bo$2b3obobobobob3o$3bo2bo
    bobobo2bo2$bobo11bobo$4b3o5b3o$bobobob2ob2obobobo$3bo2bo5bo2bo$3bo2bo5bo2bo$6bo5bo$2bobo9bobo$7bo3bo$bo3bo2bobo
    2bo3bo$2bob2o7b2obo$6bo5bo$5b2obobob2o$4bo3bobo3bo$3b2obo5bob2o$3bo4bobo4bo$2bo3bobobobo3bo$b2o13b2o$ob6o3b6obo!
  83. ↑ 83.0 83.1 came from ikpx2 results, not guaranteed minimal-length in the slightest
    longest w15 (15 × 22) partial from rlifesrc:
    6b3o$5bo2bo$4bo2b2ob2o$2bo3bo$5b2o5bo$bo5b2o3bo$b2ob2o4b4o$3obo2bo$bo3b4o$4b3o$3bobobo2bob2o$2obobo
    5bobo$3bo3bob2o2bo$o2b2obo3bo$3b4o3bo$2b3obo$7bo2b3o$b3o3bo3bo$7b2obo$b3obob2o2bo$7bobobo$b3o5bo3bo!
  84. ↑ w24glide disproven with gfind, this was found at logical width 13 by ikpx2 but rlifesrc shows it is smallest by bounding box among all up to w32glide as well; no w34glides in 26 × 26
  85. ↑ 10*32 partial
    4b2o$4bo2bo$5bo2bo$4bo$3b2obobo$3bo$3b2o2bo$3bo$4bo2bo$5b2o2$2b3o$bo2b5o$b4o3bo$2b2obo2bo$3bobo$2bo
    2b2o$bo4bo2$bo2b2obo$5bobo$2b5o$bo$b3obo2b2o$4bo$o3bo$2b2o2bo$3b2o2b2o$bo6bo$2bo3b2o$2b3o$bo3bo2bo!
  86. ↑ took 3439s; see 11 × 88 partial
  87. ↑ for all 2c/5s, h>9
  88. ↑ seemingly first found in [22]
  89. ↑ 202 cells, shortest w22e only 120
  90. ↑ 10*42 partial
    4bo2b2o$3bob2obo$2bo2b3o$5b2o$5bo$4bo2$3b4o$3o$2bo$5bob2o$3b2obobo$7bo$2b3obo$2b5o$b3o2bo$4b2o$6bo$6bo$3bo2bo$3bo2bo$5b3
    o$2bo3bo$2bobo$7bo$3bobo2bo$4b2o$3b2ob2o$3bo5bo$3bo4bo$5bo$2bo$2bo$6b2o$3b3o$3bo3bo$6b3o$2bo6bo$3b5obo$2b2o4bo$b9o$o6b3o!
  91. ↑ 17*48 partial
    5b3ob3o$4b2o5b2o$3bo3bobo3bo$2bo11bo$5bo5bo$bo2bo7bo2bo$bo2bo7bo2bo$bo13bo$bo3bo5bo3bo$4bobo3bobo2$7bobo$7bobo$8bo$5bob3obo$
    6bobobo$2bo4b3o4bo$bo13bo$4bo7bo$bob2obo3bob2obo$2bobo7bobo$4bo3bo3bo$4bo7bo$b2obo7bob2o$4b2o5b2o$2o2bo7bo2b2o$obo2bob3obo2b
    obo$b4o3bo3b4o$2b3o2b3o2b3o$4bo7bo$4bo3bo3bo$2bobo2b3o2bobo2$6b5o$2bo3bobobo3bo$bob2o7b2obo$2bob2ob3ob2obo$3bobo2bo2bobo$o2b
    o3b3o3bo2bo$2o2bo7bo2b2o$b2o2bo5bo2b2o$obo3b2ob2o3bobo$2o3b2o3b2o3b2o$2b2obo5bob2o$b3ob3ob3ob3o$2bo11bo$bo3bo5bo3bo$b3o9b3o!
  92. ↑ 18*41 partial
    3b2o8b2o$2bo12bo$b4o8b4o$bo14bo$5bo6bo$3bo2bo4bo2bo$3bob2o4b2obo$3b2obo4bob2o$4b3o4b3o$5bo6bo2$3
    b3o6b3o$3b5o2b5o2$obo4bo2bo4bobo$ob3obo4bob3obo$3b3o6b3o2$4b3o4b3o$6bo4bo$3bo3b4o3bo$2bo12bo$3b3
    obo2bob3o$3bo10bo$2b2o10b2o$bo14bo$2bo3bo4bo3bo$6b2o2b2o$3obo8bob3o$b2o2b3o2b3o2b2o$6bob2obo$4bo
    3b2o3bo$5bo6bo$5b8o$4b2o6b2o$3b2obo4bob2o$3bobo6bobo$3bobo6bobo$3b3o6b3o$5bo2b2o2bo$2bo4bo2bo4bo!
  93. ↑ 20*62 partial
    8b4o$7b6o$6b2o4b2o$7bo4bo$7bo4bo$7bob2obo$9b2o$5bo8bo$5b2o6b2o$5bo3b2o3bo2$9b2o$6b2o4b2o$4bo10bo$4bo10bo2$8bo2bo$6bobo2bob
    o$7b2o2b2o$4b2o8b2o$5bo3b2o3bo$5bo3b2o3bo$3bo12bo$2bo14bo2$bo2b4o4b4o2bo$4b2obo4bob2o$4bo3b4o3bo$bobobob6obobobo$5bobob2ob
    obo$7bo4bo$3bo3bo4bo3bo$4bo10bo$5bo2b4o2bo$6bo6bo$7bo4bo$7bo4bo$7bo4bo2$3b2o3bo2bo3b2o$2bo2b3o4b3o2bo$6bo6bo$2bo4bo4bo4bo$
    2bo4bo4bo4bo$7bo4bo$2bo3bo6bo3bo$b5obo4bob5o$2b2o2b2o4b2o2b2o$3b4o6b4o$b3o2bo6bo2b3o$ob2obo8bob2obo$2o7b2o7b2o$3bo2bo6bo2b
    o$2b2o3bo4bo3b2o$2bob2o2bo2bo2b2obo$2bobob2ob2ob2obobo$3b5o4b5o$4bo10bo$4bo3b4o3bo$3b2o2b2o2b2o2b2o$bo3bo8bo3bo$bo7b2o7bo!
  94. ↑ there is also a width-18 version which has the same backend as the w17o (and as such can be considered its even variant)
  95. ↑ 14 × 49 partial
    ..ooo....ooo..$oo.o......o.oo$..o..o..o..o..$oo..oo..oo..oo$...o..oo..o...$.o..........o.$..............$.o..o....o..o.$....oo..oo....$.....o..oo..
    ..$...oo......o..$.o........oo..$.oooo.....o...$..ooo.........$.....o........$......o.ooo...$.......o..o...$.......o.o....$.......ooo....$....oo.oo
    .....$...o..o.......$...o.....o....$...o..o.ooo...$...ooooo......$....o.o.......$.....oo.......$......o..o....$..............$..ooo.o...oo..$.oo..o
    o...o.o.$ooooo..ooooo.o$oo.....oo.....$........o.o...$....o...o.....$.ooooo.o...oo.$.o..o.o...o...$...........oo.$..o..oo..o.oo.$...o..o...oo..$...
    o..ooo.ooo.$o.o......o.ooo$.o...o.....o..$....o...o.....$..o...o..oo..o$..ooooo..o.oo.$.o...o........$oo.o...o.....o$....oo..oo....$ooo??????...oo!
  96. ↑ found in [16] for ordinary flock, polyglottal to pedestrian, confirmed by another LLSSS search
  97. ↑ 118 cells; shortest at w15o and w17o is 88 cells, at 19 is 55 cells
  98. ↑ 69 cells; also shortest w14a, though shortest w16as are 83-cell thing and 84-cell middleweightier version thereof, 75-cell w18a, 73-cell w19a (which is also shortest w20a)
  99. ↑ 21 × 21; not smallest by bounding box! beaten by 20 × 20 (tied by four w29s's, smallest among them being 99 cells)
  100. ↑ w21s disproven with gfind, w23s found by rlifesrc
    proven shortest w25s as well by LLSSS
    note the shortest w33gutter (thinnest possible) is 2204 cells
  101. ↑ 298 cells, not known to be shortest; shortest at w24glide is 113 cells, and shortest at 26 (and 28) is 72 cells
  102. ↑ 117 cells, next shortest is 166
  103. ↑ per LLSSS, the w11o is also the shortest w12a
  104. ↑ second shortest nontrivial is not a tagalong
  105. ↑ first found in [27]; also orthogonal width exceeds 11, per LLSSS search (longest partial)
  106. ↑ ignoring the exceedingly short even one, this is not unique! here are two other (backends have reflections)
  107. ↑ one of only three possible w23o's, the other two being it with outward-pointing feet and a bowlegged variant
  108. ↑ w13a doesn't actually terminate in LLSSS, due to the infinite spaceship formed by concatenating 3o3b2o$obo2bob2o$3o3b3o2$b5o2bo$b2o3b4o$4bob2o2bo$5bo3b2o$9bo2$3b2o3b3o$2b2obo2bobo$2b3o3b3o2$2bo2b5o$b4o3b2o$o2b2obo$2o3bo$bo! to itself, but LLSSS does prove that this is unique by showing it's its own only continuation
    shortest height possible is 12 cells, achieved by this h12a found by LLSSS and also this h12e from manual inspection of partials
  109. ↑ also has another version with back-centre reflected
  110. ↑ 10*33 partial
    5bo$4bobo$5bo$5bo$5bo$4bo2bo2$5bob2o$5bobobo$6b3o$6b2o$5bo$4b2o$4b2o$4bo2bo$4bo2bo$7bo$3bob3o$3b
    obobo$3b3o2bo$4b2o$4bobo$3bo2bo$3bo2bo$2b2o$2b2o3bo$2bobob2o$2b4o$bobobo2bo$o4bo2bo$5o3bo2$o8bo!

    looks alike the Statue of Liberty
  111. ↑ the only other at this width has the w11a's reflected
    longest partial is a 23*35 attempted tagalong
    2b3o13b3o$bo2bob3o5b3obo2bo$b2obobo2bo3bo2bobob2o$obobobob2
    o3b2obobobobo$2bobobobobobobobobobo$b3o2bobo5bobo2b3o$7b3o3
    b3o4$4b3o9b3o$3bo2b2o7b2o2bo$3b4o9b4o$2b2o15b2o$b3o2bobo5bo
    bo2b3o$bobob4o5b4obobo$b7o7b7o$3b2o13b2o2$5b3o7b3o$5bo11bo$
    4bo13bo$3b2o2bo7bo2b2o$3bo2bo9bo2bo$4bo2bo7bo2bo$5bob2o5b2o
    bo$6bob2o3b2obo$5bo2bo2bo2bo2bo$8bobobobo$4bo6bo6bo$4bo3bo5
    bo3bo$5b5o3b5o$3b2obo3b3o3bob2o$3b4obobobobob4o$6bobo5bobo!
  112. ↑ the only other at this width has the w11a's reflected
    longest partial is a 24*40 attempted tagalong
    3bo16bo$2b3o2bo8bo2b3o$b2obob3o6b3obob2o$o3bobob2o4b2obobo3bo$b2obobo3bo2bo3bobob2o$b2obobob2o4b2obobob2o$6bob2o4b2obo$2bo18bo$8bo6bo$2bo18bo$5bo2bo6bo2bo$4b4o8b4o$3b
    2o14b2o$2bo5bo6bo5bo$2bo4bo8bo4bo$b2o2b4o6b4o2b2o$bob2o14b2obo$4bo4bo4bo4bo$8bo6bo$5b2o10b2o$6b2o8b2o$6b2o8b2o$3b4o10b4o$3bo2bo10bo2bo$4bo2bo8bo2bo$5bo2bo6bo2bo$2bobo
    b3o6b3obobo$2bo2bobo8bobo2bo$2bob3ob2o4b2ob3obo$5b2o3bo2bo3b2o$5b2o4b2o4b2o$5b4o2b2o2b4o$7b3ob2ob3o$8b2o4b2o$8b2o4b2o$4b3obo6bob3o$5bo12bo$6bo10bo$7b10o$b6o3bo2bo3b6o!
  113. ↑ has an exceedingly small tagalong, a larger one comprised of a deformed spaceship and a weird greyshippy one
  114. ↑ 181 cells, shortest w17a is 193
  115. ↑ found initially with ikpx2, verified with LLSSS
    242 cells, shortest w28e is 312, shortest w30e is 244
  116. ↑ attempting w16a on LLSSS crashed my laptop; however, LuveelVoom was able to disprove it (longest partial) in 16597s
  117. ↑ alternative backend for the smaller w14glide; note that this one produces a dot spark with pretty good clearance. None besides these exist in 17 × 17
  118. ↑ longest partial is 19 × 41
  119. ↑ longest partial is 20 × 35
  120. ↑ longest partial is 31 × 52
  121. ↑ longest partial is 30 × 37
  122. ↑ 14*31 partial
    b2o11b$o3b3o3b3ob$o2b5obo3bo$b2o2bo2bo3bob$3b5o6b$5bob2o5b$3bo3b2ob2o2b$3b2o4bo4b$3bob2obo5b$6b2ob4ob$bo4b6o
    2b$b4o3bo5b$14b$2b2o2bo2b2obob$bo3bo4bo3b$b7ob2o3b$4bo2bob2ob2o$3b4ob3obob$7bo6b$6bo3bo3b$b2o4b4o3b$3bob2o3b
    2o2b$4bo2bo6b$b3ob2ob2o4b$2b4o2bo5b$2b2o6bo3b$2bob2o4bo3b$2bo3b2ob2o3b$4bo2b3obo2b$4bo2bo3b2ob$bo4?3o2b2ob!
  123. ↑ took 17209s, longest partial is surprisingly long
  124. ↑ this tagalong can also attach to the tagalong of the alien LWSS variant
  125. ↑ 179 cells; found in [28]; this is smallest known by population, but shortest is 187 cells
    qfind, JLS and LLSSS have all disproven w14a.
    shortest w16a is 177 cells, w17a is 125, w18a is 130, w19a is 137
  126. ↑ 235 cells; this one has minpop 218 but a backspark that increases its bounding box
    shortest at w21o is 127 cells, at w23o is 165 cells, at w25o and w27o is 133 cells, w29o is 84 cells (which is the first in a series of wave-carriers)
  127. ↑ ; at w22e, shortest is 66 cells and also height 8 (the shortest possible), among which it is also the thinnest asymmetric spaceship!
  128. ↑ is 439 cells and 59 cells long (the latter being tied by its 440-cell backend variant)
    beaten in population by a 204-cell asymmetrical backend variant of itself (by me) and a 299-cell w23o (first found by enlistment of dreamweaver's cluster, although now LLSSS is capable of doing it on my laptop), 344-cell w25o
    first known was Glider 21345 in the original glider.db
  129. ↑ minimal bounding box
  130. ↑ unique smallest bounding box; has a pronged tail variant, which has a slight variation carrying a cool strictly volatile thing
  131. ↑ 21 × 63 partial
  132. ↑ 20 × 46 partial
    7b6o$5bob2o2b2obo$3bobob6obobo$bob3ob6ob3obo$bob14obo$ob4obob2obob4obo$b5ob6ob5o$b18o$b4obo6bob4o$3b3o8b3o$bobobo8bobobo$bob3o8b3obo$2b2o5b2o5b2o
    $ob5o2b2o2b5obo$obobobobo2bobobobobo$2bobobob4obobobo$4bob8obo$2b5ob4ob5o$2bobob2o4b2obobo$3b5ob2ob5o$2b5o6b5o$2bob4o4b4obo$4b2o8b2o$2b3obobo2bo
    bob3o$3b4o2b2o2b4o$b8o2b8o$4bobob4obobo$3b4ob4ob4o$bob2obob4obob2obo$bob14obo$bob5o4b5obo$4b4o4b4o$b7o4b7o$4bo2b2o2b2o2bo$2b3obo6bob3o$4bobo6bob
    o$2b2o12b2o$2b16o$2bobo2b2o2b2o2bobo$2bo2bobob2obobo2bo$4b2ob6ob2o$b2o3b3o2b3o3b2o$2b4o3b2o3b4o$4o2bo2b2o2bo2b4o$ob3ob8ob3obo$2bobob2ob2ob2obobo!
  133. ↑ one is extremely likely to exist at width 21, since pausing the rlifesrc search showed a wickstretcher, this thing
  134. ↑ 42 cells; also shortest up to w12a, though outshortened by 45-cell w14a; none in h12
  135. ↑ 59 cells; note shortest w25o is 63 cells but only 15 half-diagonals high
  136. ↑ 57 cells, smallest known is 41 cells at width 8, first found by [29]
  137. ↑ 235 cells, shortest width-15 is 146 cells
  138. ↑ 192 cells, shortest w18e is 166 cells
  139. ↑ no w11a in 32 × 32
  140. ↑ shortestness ascertained also by LLSSS
    412 cells, this w14glide (from the wiki page) is only 108
  141. ↑ no w17glide in 32 × 32
  142. ↑ longest partial 157 cells long
  143. ↑ 9*136 partial
    5b3o2$5bo2bo$3bob2o$b4o$b4o$2b2ob2o$2b2o$b2o2bo$b2o$3bo$4bo$4bo$6bo$5b3o$6bo$3bo2bo$4bobo$2bobo$2bob3o$4b3o$4b3o$3b2o$2bobobo$2bobo
    bo$bo2bobo$bob4o$4bo$2b2ob2o$5bo$2bo2bo$2b4o$4b4o$5b2o$6bo$6bo2$5bob2o$6bo$5bo$3b2obo$4bo$3b3o$3b2obo$3bobo$2b3o2$2bobobo$4bo$5bo$3b
    o$4b2o$4bo$5bo$5b2o$4bo$3bo$3bo2bo$4bobo$2b6o$3b5o$2b6o$bob2obo$b3ob2o$4bo2b2o$3b2ob3o$b4o$b2obo$b3obo$3b3o$bo3bo$3b2o2bo$5b3o$4bob
    2o$4b4o$4bobo$3bo2bo$2bo2bo$bo3bo$3b3o2bo$4bobobo$4b4o$3b4o$4bo$3b2o$3b2obo$3b2o$3bo2b2o$3bobo$8bo$3b2o2bo$2bob2o$bob2o$3o2bo$2b2o$
    2ob2o$b3obo$b3o$2b3o$4b2o$bo3bo$4obobo$ob3o2b2o$b7o$3b5o$2b3o$3bo$3b2obo$bo$2bob2o$3ob2o$3bo$6b2o$b3obobo$b2ob2ob2o$2b2o2bobo$5b3o$b
    obo$b3o$bob2ob3o$2bo3bobo$4bo2bo$3b4o$b3obo$b2ob3o$bobo2b2o$4obo$3bo$2bob2o$2bob2o$b3obob2o$o3b2o2bo$ob2o2b2o$6bo$2obobobo$bo3bo2bo!
  144. ↑ 11*103 partial
    7bo$5b2ob2o$5b3ob2o$4b2o4bo$5b2o2$6bo$5b4o$4b3o2bo$4bo$6bob3o$8bo$5bobo2bo$5b5o$3bob2o$b2ob3o$2b4ob2o
    $3ob4o$4b2o$2bobo2bo$2bo2bo$5b2o$2bobob2o$2bo2b3o$3b2o2bobo$5b3obo$4b2obobo$4b3o$4bobobo$3bo3bo$3b2ob
    obo$bob2obobo$b2obo2bo$bobo2b2o$4bo$bo3b2o$2bobob2o$4b4o$bo3b2obo$b2obob3o$2bob3obo$3b4o$4bobo$6b3o$3
    bo2bo$3bobob2o$3bob3o$4bo$2bob2o$2bob3o$2b2o2bo$3bo2b2o$3bobobo$3bobobo$2bob2o2$3bob4o$4b2obo$3b2obob
    o$2b2o$2bo4b2o2$3b5o$4b2obo$7bo$6b3o$4b2ob2o$8b3o$5b2ob3o$5b2obo$2b6o2bo$o2b3obo$5bo$4b3obo$bob4obo$2
    bo2bo$2bo$3b4o$bob2obo$2b3ob3o$2b4o2bo$6b3o$b7o$b4o$2b4obo$2bobob2o$bob2obo$6b3o$2b3obo$4bo3bo$4b3ob2
    o$3b7o$2bo2b2obobo$5b3o$2b3ob2obo$6b2o$bo2b4obo$b4o2bobo$3bo5bo$2bob2obo$bo2bobob2o$bo4bob2o$2o2bobo!
  145. ↑ 19*121 partial
    6b3ob3o$6bob3obo$2b7ob7o$2b2o2b2o3b2o2b2o$b4o9b4o$2b2o5bo5b2o$2bob2o3bo3b2obo$2bo2b3o3b3o2bo$5bo2b3o2bo$4b5ob5o$3b2o3b3o3b2o$5bo2b3o2bo$2b2o2bo
    b3obo2b2o$4b2obobobob2o$6b3ob3o$4bobo5bobo$3b3o2bobo2b3o$5bob5obo$3b3ob2ob2ob3o$3b3o2b3o2b3o$3bobo3bo3bobo$4bob3ob3obo$6bo5bo$4b4o3b4o$3b2o2b5o
    2b2o$b3obob5obob3o$2b2ob2o5b2ob2o$bob2ob2o3b2ob2obo$b3o2b2o3b2o2b3o$6bo5bo2$4b4obob4o$3bobob5obobo$4b2o7b2o$4b2obo3bob2o$7bobobo$4b4obob4o$5bob
    5obo$3b2obobobobob2o$4bob7obo$3b4obobob4o$3bo2b2obob2o2bo$3bob9obo$2bo2b4ob4o2bo$6b2o3b2o$4bo2bobobo2bo$5b3obob3o$5b2o5b2o$5bo7bo$5bobo3bobo$5b
    3o3b3o$7b2ob2o$5b3o3b3o$3b2ob3ob3ob2o$4bob3ob3obo$3b2o4bo4b2o$3bob9obo$2b2obob2ob2obob2o$4b4obob4o$3bo2b7o2bo$7b2ob2o$4b5ob5o$3b2obob3obob2o$2b
    2o2bob3obo2b2o$2b3o9b3o$2b3obobobobob3o$2obo2b2o3b2o2bob2o$bo6b3o6bo$b2o4b2ob2o4b2o$2bo3b2o3b2o3bo$4bo9bo$4b3obobob3o$6bobobobo$5bob2ob2obo$5b
    9o$4bob2o3b2obo$5bo7bo$5bob2ob2obo$3bo2bobobobo2bo$5b2o2bo2b2o$2bo6bo6bo$2b3o2b5o2b3o$2b3ob3ob3ob3o$3bo11bo$2bobo2b2ob2o2bobo$bo2b4o3b4o2bo$3b
    6ob6o$3b3o3bo3b3o$3bo2bobobobo2bo$2bob2o2b3o2b2obo$4bob3ob3obo$5bo3bo3bo$7b2ob2o$5bobo3bobo$4bob2obob2obo$3bobo7bobo$4b4obob4o$2b4o2bobo2b4o$b
    obo2bo2bo2bo2bobo$3o2bob5obo2b3o$obob2o3bo3b2obobo$2b15o$2b15o$5b2o2bo2b2o$b3ob9ob3o$6bob3obo$2bobo3b3o3bobo$ob3o2b5o2b3obo$bo6b3o6bo$2o2bobo2b
    o2bobo2b2o$4b3o2bo2b3o$2bob3o2bo2b3obo$2b2o4b3o4b2o$2b2o4b3o4b2o$2b6obob6o$3bo3bobobo3bo$3o5b3o5b3o$b3o4b3o4b3o$3bob3o3b3obo$2b15o$5bobo3bobo!
  146. ↑ 20*191 partial
    9b2o$8bo2bo$5b2obo2bob2o$3b2obo2b2o2bob2o$4b2o8b2o$5b2o2b2o2b2o$3bo4b4o4bo$6b3o2b3o$7bo4bo$8bo2bo$9b2o$5b3ob2ob3o$4b2o8b2o$4b12o$5bo2bo2bo2bo$4bob2ob2ob2obo$6b2o4b
    2o$3b2obo2b2o2bob2o$5b2ob4ob2o$4bob2ob2ob2obo$7b2o2b2o$5b4o2b4o$5b3o4b3o$6b3o2b3o$5bo2bo2bo2bo$6b2o4b2o$4b3ob4ob3o$4bobob4obobo$4b4ob2ob4o$5bobob2obobo$4b2ob2o2b2o
    b2o$2bo2b2o6b2o2bo$5bobo4bobo$3bob3ob2ob3obo$4b2obob2obob2o$5bo2bo2bo2bo$2b2o2bob4obo2b2o$4bobo2b2o2bobo$2bo3b8o3bo$5bob6obo$4bo2bob2obo2bo$5bobob2obobo$4b4ob2ob4o
    $5b2ob4ob2o$5b2ob4ob2o$4b4o4b4o$4b2ob6ob2o$4bo3b4o3bo$7b6o$4bobo6bobo$4b12o$2b4o3b2o3b4o$bob4obo2bob4obo$bob14obo$3b3o2bo2bo2b3o$b8o2b8o$2b2o2bobo2bobo2b2o$5bo2bo2
    bo2bo$3b6o2b6o$4b12o$obob12obobo$o4bob2o2b2obo4bo$2b2obo2bo2bo2bob2o$4b5o2b5o$2bo2bobo4bobo2bo$6b2o4b2o$2b4obo4bob4o$6bo6bo$b2ob2ob6ob2ob2o$b2obob3o2b3obob2o$b3o2b
    ob4obo2b3o$o2b2o3b4o3b2o2bo$2b2ob2o6b2ob2o$3b3o8b3o$bob5ob2ob5obo$3bob4o2b4obo$2bo3b2ob2ob2o3bo$3bob2o2b2o2b2obo$4b2ob6ob2o$b3o3b6o3b3o$o6b6o6bo$2bob5o2b5obo$bo2b1
    2o2bo$2bo3bo6bo3bo$3b4o2b2o2b4o$4obo3b2o3bob4o$2b2obob6obob2o$2bobo2b6o2bobo$b3o3b6o3b3o$b2o2bo2b4o2bo2b2o$3b2o3b4o3b2o$2b2o3b6o3b2o$2b4o2b4o2b4o$bo2bo2b6o2bo2bo$7
    bob2obo$2b2obobob2obobob2o$7bob2obo$5b10o$3bo3b6o3bo$3bo3b6o3bo$4bobob4obobo$2bo3b2o4b2o3bo$b2o4b2o2b2o4b2o$2bo2bo8bo2bo$2b16o$4b3ob4ob3o$bo4b8o4bo$5b3o4b3o$5bobob
    2obobo$3bobo8bobo$3b3o8b3o$4b2o8b2o$4b2ob2o2b2ob2o$4b2ob2o2b2ob2o$3b2o2bo4bo2b2o2$2b2o12b2o$b4o10b4o$b2o14b2o$bo3bo8bo3bo$b3o2bo6bo2b3o$6bo6bo$bo2b3o6b3o2bo$4bo3bo
    2bo3bo$bob2ob2o4b2ob2obo$bob3o2bo2bo2b3obo$bob2ob2ob2ob2ob2obo$4ob2obo2bob2ob4o$bo5b2o2b2o5bo$b4obob4obob4o$2bob2obob2obob2obo$3b2o2bob2obo2b2o$3ob4ob2ob4ob3o$b4ob
    o6bob4o$o4b2o6b2o4bo$3o14b3o$5bobo4bobo$3bobobo4bobobo$3b2o3bo2bo3b2o$bo3bob2o2b2obo3bo$o2bo4bo2bo4bo2bo$o2b2o10b2o2bo$4b2o2bo2bo2b2o$3b3ob2o2b2ob3o$4bo2b2o2b2o2bo
    $4bo3bo2bo3bo$bobo2b2ob2ob2o2bobo$o7b4o7bo$2bobo4b2o4bobo$2bo2bo2bo2bo2bo2bo$bo2bo3bo2bo3bo2bo$5bobob2obobo$5b4o2b4o$3bobo2b4o2bobo$2b2obob2o2b2obob2o$3b3o8b3o$3bo
    2bobo2bobo2bo$4bo2bob2obo2bo$4b2o8b2o$2b5o6b5o$bob3o8b3obo$3b2o3b4o3b2o$2b3obo2b2o2bob3o$6bob4obo$b2o3bob4obo3b2o$4bo4b2o4bo$2b3o3b4o3b3o$4bobobo2bobobo$3b2ob2o4b2
    ob2o$2b4ob2o2b2ob4o$b2obo3b4o3bob2o$3bob3o4b3obo$5bob6obo$3bob2o6b2obo$b2obo2bo4bo2bob2o$b2obo2b2o2b2o2bob2o$bo6bo2bo6bo$2bob12obo$b2o5b4o5b2o$3obobo6bobob3o$b2obo
    2bob2obo2bob2o$3bob3o4b3obo$2bobo2b6o2bobo$2bobob2ob2ob2obobo$2bob4o4b4obo$bob2o3b4o3b2obo$b4o4b2o4b4o$obo2bo2b4o2bo2bobo$b3obobo4bobob3o$2b2ob3o4b3ob2o$5b2ob4ob2o!
  147. ↑ 21*85 partial
    5bobo5bobo$4b2ob2o3b2ob2o$3b2obob2ob2obob2o$4b2ob2o3b2ob2o$4b2ob2o3b2ob2o$6bo7bo$3b5o5b5o$3
    bo2bobo3bobo2bo$3bo4bo3bo4bo$4bo2bo5bo2bo$4bo2bo5bo2bo$4bob2o5b2obo$3bob2o2bobo2b2obo$3b2ob
    4ob4ob2o$4b4o5b4o$5bo2b2ob2o2bo$4bobo2bobo2bobo$2bob2obobobobob2obo$2b2o3bobobobo3b2o$6bo7b
    o$5b3o5b3o$5bobo5bobo$4bob3o3b3obo$4bob3o3b3obo$5b5ob5o$3b4obo3bob4o$7b3ob3o$4b3o2bobo2b3o$
    5bo2b2ob2o2bo$2bo3b2o5b2o3bo$2b2ob5ob5ob2o$2b4o3bobo3b4o$2b3obobo3bobob3o$2b6o5b6o$7b2o3b2o
    $4b2ob2o3b2ob2o$3bo2b3o3b3o2bo$2b2ob4o3b4ob2o$8b2ob2o$3b6o3b6o$3bo13bo$3bo3bo5bo3bo$8b2ob2o
    $3bobo3bobo3bobo$2b3ob2obobob2ob3o$2bobo2b2o3b2o2bobo$3b2obo7bob2o$3bobobo5bobobo$3b4o7b4o$
    2b2o2bo7bo2b2o$3b2ob2o5b2ob2o$3bob5ob5obo$3b4obo3bob4o$4b3o7b3o$b2o2bobo5bobo2b2o$b2obo11bo
    b2o$2b4obo5bob4o$3b2o2bo5bo2b2o$3b3ob2o3b2ob3o$bobobob2o3b2obobobo$b3ob3o5b3ob3o$bo2bo2b3ob
    3o2bo2bo$2bob2obo5bob2obo$b7o5b7o$bob5obobob5obo$b2obo2b3ob3o2bob2o$2b2ob2o7b2ob2o$4bob2obo
    bob2obo$2bobo2b3ob3o2bobo$3b5o5b5o$4b3o7b3o$8b2ob2o$2bobo2bo5bo2bobo$o2bob4o3b4obo2bo$2b3o3
    bo3bo3b3o$b2o3bob2ob2obo3b2o$obobo3b2ob2o3bobobo$2b3o2bo5bo2b3o$bobo5bobo5bobo$bobobobo5bob
    obobo$3b4ob2ob2ob4o$bo2bobobo3bobobo2bo$b3o2b3o3b3o2b3o$2bo3b3o3b3o3bo$ob3o2bobobobo2b3obo!

other such tables alike this

references

  1. ↑ wwei47 (May 14, 2024). Re: Thread for your miscellaneous posts and discussions , in which the scheme for non-orthogonal width notation was specified
  2. ↑ 2.0 2.1 2.2 2.3 2.4 2.5 wwei47 (May 21, 2024). Re: Thread for your LLS/JLS/WLS search dumps , in which various results were found for diagonal spaceships in B36/S245
  3. ↑ wwei47 (May 24, 2024). Re: Thread for your LLS/JLS/WLS search dumps , in which a minimal-width[2] c/5 diagonal in B36/S245 was found
  4. ↑ 4.0 4.1 4.2 4.3 DroneBetter (March 3, 2024). Re: B36/S245 , in which the currently smallest-known c/5d (146 cells) was found, the 2c/7 w16e was found minimal, and the first (but not smallest) w16 glide-symmetric c/6d was found
  5. ↑ 5.0 5.1 5.2 velcrorex (July 21, 2015). Re: Move/Morley (245/368) , in which the shortest w15s c/5d at (which is the smallest by population of the thinnest possible family) was found, polyglottic to B36/S245
  6. ↑ wwei47 (June 1, 2024). Re: B36/S245 , in which [5]'s minimal-width w15s c/5d was noted to be minimal-width
  7. ↑ May13 (March 3, 2024). Re: B36/S245 , in which a symmetrical width-19 c/5d was found
  8. ↑ 8.0 8.1 yujh (July 13, 2024). Re: B36/S245 , in which the smallest known c/6d's of width 16 and 18 were found (with rlifesrc, per personal correspondence)
  9. ↑ LaundryPizza03 (December 21, 2020). Re: B36/S245 , in which a (2,1)c/6 was found (the first knightship)
  10. ↑ lordlouckster (August 15, 2022). Message in #bots-and-mute-this on the Conwaylife Lounge Discord server , in which the first 2c/7 in B36/S245 was found, at the minimal[4] width of w16e
  11. ↑ Bullet51 (September 5, 2015). Re: Move/Morley (245/368) , in which the smallest 2c/5 w22e was first found
  12. ↑ AforAmpere (December 18, 2020). Re: Move/Morley (245/368) , in which the first (2,1)c/5 was found
  13. ↑ 13.0 13.1 velcrorex (July 23, 2015). Re: Move/Morley (245/368) , in which the first known c/6d (w17s) and the smallest even 3c/6 were found
  14. ↑ lordlouckster (September 1, 2022). Re: Move/Morley (245/368) , in which the first (and smallest w18e) 2c/7 was found
  15. ↑ LaundryPizza03 (March 25, 2024). Re:B3/S12 (Flock) , noting Lapin Acharné's 2c/8
  16. ↑ 16.0 16.1 amling (May 18, 2024). Re: amling questionable searches/ideas firehose , in which dark magic was utilised to achieve the previously-impossible task of finding a minimal-width w38a c/3 in Flock
  17. ↑ 17.0 17.1 wwei47 (May 13, 2024). Re: B3/S12 (Flock) , in which bounds upon c/3 widths were found with JLS
  18. ↑ 18.0 18.1 18.2 wwei47 (May 14, 2024). Re: B3/S12 (Flock) , in which considerably improved bounds were found with ikpx2
  19. ↑ 19.0 19.1 May13 (May 17, 2024). Re: B3/S12 (Flock) , in which a width-71 gutter-preserving c/3 was found with LSSS (which also works in Pedestrian Flock)
  20. ↑ wwei47 (April 27, 2024). Re:RLE copy/paste thread - everyone else , in which minimal-width c/3's were found in HighFlock with JLS
  21. ↑ wwei47 (June 9, 2024). Re: Thread for your LLS/JLS/WLS search dumps , in which the existence of a width-11 c/5 in HighFlock was disproven with gfind
  22. ↑ lordlouckster (December 15, 2022). Message in #naturalistic on the Conwaylife Lounge Discord server , in which the thinnest odd-symmetric 2c/5 in B36/S12 was found
  23. ↑ 23.0 23.1 23.2 23.3 sokwe (December 21, 2024). Message in #naturalistic on the Conwaylife Lounge Discord server , in which disproving all spaceships with LLSSS was explained
  24. ↑ wwei47 (June 5, 2024). Re: Thread for your LLS/JLS/WLS search dumps , in which a negative gfind search was completed for B38/S12 c/4 w12a (meaning the w13a from wwei's B3/S12 search is minimal-width in B38/S12 as well)
  25. ↑ wwei47 (June 7, 2024). Re: Thread for your LLS/JLS/WLS search dumps , in which a negative gfind search was completed for B38/S12 c/5 w13a
  26. ↑ lordlouckster (August 2, 2024). Re: Spaceships in Life-like cellular automata , in which the first c/6 was found in Dance at w19o
  27. ↑ lordlouckster (August 10, 2024). Re: Spaceships in Life-like cellular automata , in which the first (2,1)c/6 in Dance was found at w20
  28. ↑ wwei47 (April 25, 2024). Re:RLE copy/paste thread - everyone else , in which width-15 c/3's were found in Holstein (with JLS, per personal correspondence)
  29. ↑ anonymousdeveloper (March 4, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server , in which the smallest width-8 2c/4 in Geology was found (with rlifesrc, per personal correspondence)
  30. ↑ lordlouckster (December 9, 2023). Message in #naturalistic on the Conwaylife Lounge Discord server , in which the first (2,1)c/5 in Geology was found
  31. ↑ saka (March 4, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server , in which the smallest w11o c/7 in Geology was first found
  32. ↑ H. H. P. M. P. Cole (May 31, 2024). Re: Spaceships in Life-like cellular automata , in which a c/7 w15g in Geology was disproven (with qfind, per personal correspondence)
  33. ↑ LaundryPizza03 (September 11, 2020). Re: B3578/S24678 , in which the smallest w14e 2c/7 was first found (apparently they didn't remember to do w13o otherwise they would have a considerably smaller one)
    verified with qfind, next shortest w14e is this one
  34. ↑ saka (March 5, 2021). Message in #naturalistic on the Conwaylife Lounge Discord server in which the first 3c/7 in Geology was found at w17o (further down they explain it was found with qfind)