User:DroneBetter/qfind results
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Revision as of 08:53, 11 April 2025 by DroneBetter (talk | contribs) (many negative result strengthenings and wider-than-minimal footnote results from LLSSS and rlifesrc, notably new smallest 2c/5 in sqrtreprule (158-cell w16a from LLSSS floating width 12); finished c/4d's in Flock, even c/4 in B3ai4/S23, asymmetric reasonable-clearance-dot-sparker backend for the c/6d w14glide in mooselife+B8 (which I wouldn't have searched if I hadn't forgotten the w14glide's existence; I'd assume it would congest the search with disjoint copies))
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
B36/S245 (sqrt replicator rule)
(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 | 11[n 13] | 12 | ||
| (2,0)c/5 | 12[n 14] | 19[n 15] | 20[n 16] | ||
| (1,1)c/5 | 12[n 17] | 15[n 18] | |||
| (2,1)c/5 | w ≤ 67 16 horizontally (LLSSS) | ||||
| (1,0)c/6 | 9 | 13 | 14[n 19] | ||
| (2,0)c/6 | 7[n 20] | 11[n 21] | 10 | 11 (gfind) | 12 (gfind) |
| (3,0)c/6 | 7 | 13 | 14 | ||
| (1,1)c/6 | 9 (gfind) < w ≤ 11 | 17[n 22] | 16[n 23] | ||
| (2,2)c/6 | 10 (gfind) 11 (rlifesrc) 12 (LLSSS) |
13 | 20 (gfind) | ||
| (2,1)c/6 | w ≤ 58[9] | ||||
| (1,0)c/7 | 9[n 24] | 13 | 14 | ||
| (2,0)c/7 | 11[n 25] | 17 | 16[n 26] | ||
| (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 27] |
15 (gfind) 23 (rlifesrc)[n 28] | |||
| (1,0)c/8 | 7[n 29] | 13[n 30] | 14[n 31] | ||
| (2,0)c/8 | 7 | 9[n 32] | 9[n 33] (gfind) |
10[n 34] (gfind) | |
| (3,0)c/8 | 10[n 35] | 19[n 36] | 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 37] | ||
| (2,2)c/8 | 6 (gfind) | 11 (gfind) | 15 (rlifesrc) | 10 (gfind) | |
| (1,0)c/9 | 7[n 38] | 11[n 39] | 12[n 40] | ||
| (2,0)c/9 | 8[n 41] | 15[n 42] | 16[n 43] | ||
| (3,0)c/9 | 7 | 11 | 12 | ||
| (4,0)c/9 | 12 | 23[n 44] | 24[n 45] | ||
| (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) | 11 (gfind) | |||
| (1,0)c/10 | 6 | 11[n 46] | 12[n 47] | ||
| (2,0)c/10 | 7[n 48] | 11 | 12 | 9 (gfind) | 10 (gfind) |
| (3,0)c/10 | 8 | 13 | 14 | ||
| (4,0)c/10 | 8 | 15 | 16 | 11 (gfind) 13 (rlifesrc)[n 49] |
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 50] | ||
| (3,0)c/11 | 7 | 13[n 51] | 12 | ||
| (4,0)c/11 | 9 | 15 | 16[n 52] | ||
| (5,0)c/11 | 11 | 19[n 53] | 20[n 54] | ||
| (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 55] | 6 < w ≤ 11 | ||
| (1,1)c/3 | 13 14 (LLSSS)[n 56] |
13 | 13 | ||
| (1,0)c/4 | 6 | 7 | 6 | ||
| (2,0)c/4 | 5[n 57] < h ≤ 12 | ||||
| (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 58] (gfind) | 17 (gfind) | |||
| (1,0)c/4 | 4 | 9 | 10 | ||
| 12 | |||||
| (2,0)c/4 | 7[n 59] | 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 60] | ||
| (1,1)c/5 | 11 [n 61] | 15[5] (gfind) | |||
| (2,1)c/5 | w ≤ 50[12] | ||||
| (1,0)c/6 | 9 | 13 | 14[n 19] | ||
| (2,0)c/6 | 7[n 62] | 11 | 10 | 11 (gfind) | 10[n 34] (gfind) |
| (3,0)c/6 | 7 | 13 | 14[13] | ||
| (1,1)c/6 | 8 (gfind) 9 (rlifesrc) |
17[13] | 16[n 63] | ||
| (2,2)c/6 | 11 < w ≤ 13[n 64] (rlifesrc) 12 (LLSSS) |
17[n 64] (rlifesrc) |
17[n 65] | 18 (gfind) | |
| (2,1)c/6 | w ≤ 40 | ||||
| (1,0)c/7 | 8 | 15 | 14 | ||
| (2,0)c/7 | 10 | 17 | 18[n 66] | ||
| (3,0)c/7 | 12 13 (LLSSS) |
21 23 (LLSSS)[n 67] |
22[n 68] | ||
| (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 34] | 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)[16] | 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 69] | 25 (gfind) 33 (ikpx2) 35 (rlifesrc) 41 < w ≤ 45 (LLSSS) |
47 (LLSSS) | 36 (ikpx2) | ||
| (1,0)c/5 | 11 < w ≤ 18 14 (LLSSS)[n 70] |
21 | 24[n 64] | 23 | ||
| (2,0)c/5 | 14 (LLSSS)[n 71] | 25[n 72] | 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 | 20 | 21 | 17 (gfind) 21 (rlifesrc) |
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 73][n 74] | 18[n 75] | 19[n 76] | ||
| (2,0)c/7 | 10 | 19 | 20 | 21 | ||
| (3,0)c/7 | 12 | 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 64] | 17[n 64] | 18 | 17 | 17[n 77] | 12 (gfind) 14 (rlifesrc) |
| (3,0)c/8 | 10 | 19 | 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 78] | ||
| (1,0)c/5 | 10[n 79] < w ≤ 14 11 (gfind,[21] LLSSS[n 80]) |
19 | 20 | ||
| (2,0)c/5 | 11[n 81] | 17[n 82] | 20 | ||
| (1,1)c/5 | 11 (gfind) 15 (rlifesrc) 17 (ikpx2) 18 (LLSSS) |
21 (gfind) 27 (rlifesrc) | |||
| (1,0)c/6 | 10[n 83] | 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 84] | 18[n 85] | ||
| (2,0)c/7 | 10 | 19 | 20[n 86] | ||
| (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 64] | 17 | 16[n 87] | 13 (gfind) | 12 (gfind) 14 (rlifesrc)[n 88] |
| (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 34] | 17[n 34] | 18[n 34] | 13 (gfind) | 8[n 34] |
| 8 < w ≤ 19 | 17 | 18 | |||
| (3,0)c/15 | 4 | 9 | 8 | ||
| (12,0)c/30 | 5 < w ≤ 24 | 7 | 6 | 5 | 4 |
B38/S12 (Pedestrian Flock)
| Velocity | Asymmetric | Symmetric | Gutter-preserving | Glide-symmetric | ||
|---|---|---|---|---|---|---|
| odd | even | odd | even | |||
| (1,0)c/2 | ∞ (LLSSS)[23] | |||||
| (1,0)c/3 | 38 (LLSSS)[n 89] 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 64] | 23 | ||
| (2,0)c/5 | 14 (LLSSS)[n 71] | 25[n 72] | 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 74] | 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 64] | 17[n 64] | 18 | 17 | 17[n 77] | 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 90] | 20 | ||
| (1,1)c/3 | 13[n 91] | 15[n 92] | |||
| (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 93] | 22[n 94] | ||
| (1,0)c/5 | 7[n 95] | 13 | 14 | ||
| (2,0)c/5 | 12 17,13L (LLSSS) |
21 23 (rlifesrc) 25,23L (LLSSS) |
24 28,26L (LLSSS) | ||
| (1,1)c/5 | 10 (gfind)[n 96] | 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 97] | 14 | 13 | 14 |
| (3,0)c/6 | 10 | 13[n 34] | 18 | ||
| (1,1)c/6 | 8 (gfind) 11 (rlifesrc) |
13 (gfind) 19 (rlifesrc) |
18 | ||
| (2,1)c/6 | 15 < w ≤ 20[27] | ||||
| (1,0)c/7 | 8[n 98] | 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
B3ai4/S23
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 99] | 22 | ||
| (1,0)c/4 | 11 13 (LLSSS)[n 100] |
19 | 26 (LLSSS) | ||
| (2,0)c/4 | 12 15 (rlifesrc) 31 (LLSSS) |
47 (LLSSS) | 50 (LLSSS) | 37[n 101] (LLSSS) |
40 (LLSSS) |
| (1,1)c/4 | 21 (ikpx2) 30 (LLSSS) |
41 (ikpx2) 43 (rlifesrc) |
42 (ikpx2) | ||
| (1,0)c/5 | 11[n 102] | 21 | 22 | ||
| (2,0)c/5 | 11 | 23[n 103] | 24[n 104] | ||
| (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 105] | 14 | 13 | ||||
| (1,0)c/5 | 8 | 17 | 18 | 17 | ||
| 20 | 19 | |||||
| (2,0)c/5 | 16 (LLSSS)[n 106] | 27 (LLSSS) | 26[n 107] | 27 (LLSSS) | ||
| (1,1)c/5 | 12 (ikpx2) < w ≤ 17 15 (rlifesrc) |
27 (rlifesrc) | 27 (LLSSS) | |||
| (1,0)c/6 | 10 | 17 | 18 | 19 | ||
| (2,0)c/6 | 10 | 17 | 20 | 19 | 11 | 20[n 64] |
| (3,0)c/6 | 10 | 15 | 20 | 19 | ||
| (1,1)c/6 | 14 (rlifesrc)[n 108] | 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 109] |
18 | 19 | ||
| (3,0)c/7 | 10 11 (rlifesrc) 16 (LLSSS) |
19 27 (LLSSS) |
20 | 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 110] |
| (3,0)c/8 | 10 | 19 | 20 | 21 | ||
| (4,0)c/8 | 7 | 11 | 14 | 13 | 11[n 111] | 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 | ||
| (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 112] | 19[n 113] | 20[n 114] | ||
| (1,1)c/3 | 20 (gfind) 60 (ikpx2) ∞ (LLSSS) |
37 (gfind) | |||
| (1,0)c/4 | 11 16 (rlifesrc) |
21[n 115] | 26[n 64] | ||
| (1,1)c/4 | 15 (gfind) 27 (rlifesrc) 43 (ikpx2) 64 (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 116] (ikpx2) |
25[n 117] (rlifesrc) | |||
| (1,0)c/6 | 10 11 (rlifesrc) |
19 | 20[n 118] | ||
| (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) | 17 (rlifesrc) | |||
| (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 119] | 17 (gfind)[n 120] | 19 (gfind) | |||
| (1,0)c/4 | 7 | 11 | 12 | 13 | ||
| (2,0)c/4 | 7[n 121] | 11 | 10 | 11 | 9 (gfind) | 10 (gfind) |
| (1,1)c/4 | 10 (gfind) | 13 (gfind)[n 122] | 17 (gfind) | 12 (gfind) | ||
| (1,0)c/5 | 8 | 11 | 12 | 13[n 34] | ||
| (2,0)c/5 | 10 | 13 | 16[n 123] | 19 | ||
| (1,1)c/5 | 8 (gfind) 9 (rlifesrc)[n 124] 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 64] (rlifesrc) | 13 (gfind) | 12 (gfind) | ||
| (2,2)c/6 | 9 (gfind) | 17 | 17 (gfind) | 17[n 64][n 125] (rlifesrc) |
16 (gfind) | |
| (1,0)c/7 | 8[n 126] | 11[31] | 12 | 15[32] | ||
| (2,0)c/7 | 9[n 127] | 13 | 14[33] | 19 | ||
| (3,0)c/7 | 11[n 128] | 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 129] | 20[n 130] | 21[n 131] | ||
| (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
- ↑ 84 cells; shortest at width 13 is 127 and at 15 is 56
- ↑ non-monotonic!
- ↑ [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 - ↑ 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
- ↑ 62 cells, smallest at width 8 is 26 cells
- ↑ h19, 65 cells
smallest at width 15 is h16, also 65 cells
at w15, a h15, 61 cells
- ↑ 70 cells, there is a longer but smaller w14 which is 58
- ↑ 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)
- ↑ 9.0 9.1 though this is shortest, it is 71 cells, and this spaceship is 58
for Move, this one (91 cells) is nontrivial - ↑ first found in [2], also the first spaceship to be found in a width-10 or 11 gfind search
- ↑ first found in [2], 107 cells, shortest at width 19 and 21 is this 46-cell one
- ↑ 60 cells, shortest at width 14 and 16 is this 62-cell one, at 18 and 20 is this 54-cell one
- ↑ 113 cells, shortest at width 13 is the same, at 15 is 69 cells
- ↑ 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
however, llsss-recentering-wao found a 158-cell w16a at floating logical width 12 - ↑ shortestness ascertained by LLSSS; 441 cells, whereas a longer w19o with a thinner backend submitted by JMM to b36s245/qfind_results on 2024-06-02 is only 380
shortest w21o is 343, shortest w23o is 255 - ↑ 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 - ↑ 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 - ↑ 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] - ↑ 19.0 19.1 112 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 - ↑ 71 cells, width 8 reduces to 61 cells
- ↑ 171 cells, width 13 reduces to 142 cells, 15 to 107
- ↑ 68 × 68, none in 64 × 64
- ↑ 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, which also found a 64-cell w18glide - ↑ 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! - ↑ 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! - ↑ 506 cells; was first found by lordlouckster in [10] then noted 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) - ↑ largest partial in 33536s:
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....ooooooo..
..o.o....o...
..o.ooo...o..
...oo.....oo.
....o.o......
....oo..oo...
....o..o.....
.............
..oo....o....
....ooooo..oo
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.ooo.oo.oo...
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..o.....oo..o
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......o.o....
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....ooooo....
...oo.o......
...ooo..ooo..
.....o.o.....
...ooo.oo....
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.....o.ooo...
....ooooo....
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.oooo.o.o....
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.oooo....o...
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...o..o.o....
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.oooo.o..oo..
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..ooo.o.oo...
..o.ooooo....
o..o.oooo....
..oo...o.o...
..ooo..o.oo..
.....ooo.ooo.
...o...ooo...
......o.o.o..
..oo..ooo....
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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????
??? - ↑ largest partial in 108129s:
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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??
? - ↑ 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$3b2o! - ↑ 13*143 partial
2bo7bo$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! - ↑ 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! - ↑ 99 cells
same result for width 11
smallest at width 13 seems to be 109 cells - ↑ 96 cells, less short but smaller is 90 cells
- ↑ 34.0 34.1 34.2 34.3 34.4 34.5 34.6 34.7 34.8 unique thinnest
- ↑ 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! - ↑ 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! - ↑ found by ikpx2, disproof of lower widths by gfind
- ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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$6bo! - ↑ 15*168 partial
2b2o7b2o$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! - ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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$ob2ob2o! - ↑ 13 × 34 partial
.....oo......$
....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..! - ↑ 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$3bob2obo! - ↑ 13*61 partial
b4o3b4o$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! - ↑ 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$2bob2ob2ob2obo! - ↑ 19*47 partial
2b15o$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! - ↑ 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! - ↑ if h=8, w>31
- ↑ 219-cell partial found in 2584s
- ↑ if h=6, w>32; if h=7, w>24; if h=8, w>18; if h=9, w>16
- ↑ tied for minimal population (170) is this backend variant
- ↑ although shortest, it is 62 cells, a longer one is 61
- ↑ first found in [11] and rediscovered with gfind
disproven up to 20 with both qfind and gfind - ↑ 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 - ↑ 70 cells, though there is a different midsection joint that makes it 74 cells
- ↑ 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 - ↑ 64.00 64.01 64.02 64.03 64.04 64.05 64.06 64.07 64.08 64.09 64.10 64.11 64.12 though preceding width has been disproven, this was not found in an exhaustive search so is not guaranteed to be of minimal height
- ↑ smallest w17glide by bounding box, although this one has a larger interesting (p6) region and lower minpop
- ↑ was first found in [14], is smallest w18e at 274 cells (with second-smallest being 316)
- ↑ took 9322s, longest partial
- ↑ 914 cells, second shortest is 1166
- ↑ w23a disproven by rlifesrc, w24a found by LLSSS
- ↑ took 31551s; see 14 × 47 longest partial
- ↑ 71.0 71.1 this is also the shortest at w15a and also at LLSSS floating width 14 (thinnest possible) and 15
minimum height >9 - ↑ 72.0 72.1 is also shortest up to w37o
- ↑ 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! - ↑ 74.0 74.1 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! - ↑ 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! - ↑ 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! - ↑ 77.0 77.1 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! - ↑ 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
- ↑ 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! - ↑ took 3439s; see 11 × 88 partial
- ↑ for all 2c/5s, h>9
- ↑ seemingly first found in [22]
- ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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$bo7b2o7bo! - ↑ there is also a width-18 version which has the same backend as the w17o (and as such can be considered its even variant)
- ↑ 14 × 49 partial
..ooo....ooo..$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....$ooo??????...oo! - ↑ found in [16] for ordinary flock, polyglottal to pedestrian, confirmed by another LLSSS search
- ↑ 118 cells; shortest at w15o and w17o is 88 cells, at 19 is 55 cells
- ↑ 69 cells; also shortest w14a, though shortest w16as are 83-cell thing and 84-cell middleweightier version thereof, 75-cell w18a, 73-cell w19a (which is also shortest w20a)
- ↑ 21 × 21; not smallest by bounding box! beaten by 20 × 20 (tied by four w29s's, smallest among them being 99 cells)
- ↑ w21s disproven with gfind, w23s found by rlifesrc
proven shortest w25s as well by LLSSS
note the shortest w33gutter (thinnest possible) is 2204 cells - ↑ 298 cells, not known to be shortest; shortest at w24glide is 113 cells, and shortest at 26 (and 28) is 72 cells
- ↑ 117 cells, next shortest is 166
- ↑ per LLSSS, the w11o is also the shortest w12a
- ↑ second shortest nontrivial is not a tagalong
- ↑ ignoring the exceedingly short even one, this is not unique! here are two other (backends have reflections)
- ↑ one of only three possible w23o's, the other two being it with outward-pointing feet and a bowlegged variant
- ↑ w13a doesn't actually terminate in LLSSS, due to the infinite spaceship formed by concatenating 3o3b2o$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 - ↑ also has another version with back-centre reflected
- ↑ 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 - ↑ 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! - ↑ 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! - ↑ has an exceedingly small tagalong, a larger one comprised of a deformed spaceship and a weird greyshippy one
- ↑ 181 cells, shortest w17a is 193
- ↑ found initially with ikpx2, verified with LLSSS
242 cells, shortest w28e is 312, shortest w30e is 244 - ↑ 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
- ↑ longest partial is 19 × 41
- ↑ 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! - ↑ this tagalong can also attach to the tagalong of the alien LWSS variant
- ↑ 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 - ↑ 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) - ↑ ; at w22e, shortest is 66 cells and also height 8 (the shortest possible), among which it is also the thinnest asymmetric spaceship!
- ↑ 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 - ↑ minimal bounding box
- ↑ unique smallest bounding box; has a pronged tail variant, which has a slight variation carrying a cool strictly volatile thing
- ↑ 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! - ↑ 42 cells; also shortest up to w12a, though outshortened by 45-cell w14a; none in h12
- ↑ 59 cells; note shortest w25o is 63 cells but only 15 half-diagonals high
- ↑ 57 cells, smallest known is 41 cells at width 8, first found by [29]
- ↑ 235 cells, shortest width-15 is 146 cells
- ↑ 192 cells, shortest w18e is 166 cells
- ↑ no w11a in 32 × 32
- ↑ no w17glide in 32 × 32
- ↑ longest partial 157 cells long
- ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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! - ↑ 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
- ↑ wwei47 (May 14, 2024). Re: Thread for your miscellaneous posts and discussions, in which the scheme for non-orthogonal width notation was specified
- ↑ 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
- ↑ 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
- ↑ 4.0 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
- ↑ 5.0 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
- ↑ wwei47 (June 1, 2024). Re: B36/S245, in which [5]'s minimal-width w15s c/5d was noted to be minimal-width
- ↑ May13 (March 3, 2024). Re: B36/S245, in which a symmetrical width-19 c/5d was found
- ↑ 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)
- ↑ LaundryPizza03 (December 21, 2020). Re: B36/S245, in which a (2,1)c/6 was found (the first knightship)
- ↑ 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
- ↑ Bullet51 (September 5, 2015). Re: Move/Morley (245/368), in which the smallest 2c/5 w22e was first found
- ↑ AforAmpere (December 18, 2020). Re: Move/Morley (245/368), in which the first (2,1)c/5 was found
- ↑ 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
- ↑ lordlouckster (September 1, 2022). Re: Move/Morley (245/368), in which the first (and smallest w18e) 2c/7 was found
- ↑ LaundryPizza03 (March 25, 2024). Re:B3/S12 (Flock), noting Lapin Acharné's 2c/8
- ↑ 16.0 16.1 amling (May 18, 2024). Re: amling questionable searches/ideas firehose, in which dark magic was utilised to achieve the impossible task of finding a minimal-width w38a c/3 in Flock
- ↑ 17.0 17.1 wwei47 (May 13, 2024). Re: B3/S12 (Flock), in which bounds upon c/3 widths were found with JLS
- ↑ 18.0 18.1 18.2 wwei47 (May 14, 2024). Re: B3/S12 (Flock), in which considerably improved bounds were found with ikpx2
- ↑ 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)
- ↑ wwei47 (April 27, 2024). Re:RLE copy/paste thread - everyone else, in which minimal-width c/3's were found in HighFlock with JLS
- ↑ 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
- ↑ 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
- ↑ 23.0 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
- ↑ 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)
- ↑ 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
- ↑ lordlouckster (August 2, 2024). Re: Spaceships in Life-like cellular automata, in which the first c/6 was found in Dance at w19o
- ↑ 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
- ↑ 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)
- ↑ 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)
- ↑ 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
- ↑ 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
- ↑ 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)
- ↑ 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 - ↑ 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)