Spaceship Discussion Thread

May13 · Post by **May13** » August 11th, 2025, 8:06 am

May13 wrote: March 22nd, 2024, 6:14 am ...
the first known weekender-less doo-dah tagalong supporters:

x = 211, y = 93, rule = B3/S23
9b3o25b3o13b3o13b3o25b3o39b3o25b3o13b3o13b3o$44b2ob2o11b2ob2o109b2ob2o
11b2ob2o$5bo3bobo25bobo3bobobobo3bobo3bobobobo3bobo25bobo3bo31bo3bobo
25bobo3bobobobo3bobo3bobobobo3bobo3bo$4bobo3bo3bo19bo3bo4bobobobo4bo4b
obobobo4bo3bo19bo3bo3bobo29bobo3bo3bo19bo3bo4bobobobo4bo4bobobobo4bo3b
obo$3b2o2bo6bo19bo8b2o3b2o9b2o3b2o8bo19bo6bo2b2o27b2o2bo6bo19bo8b2o3b
2o9b2o3b2o7bo2b2o$6b2o5bobo17bobo6b2o5b2o7b2o5b2o6bobo17bobo5b2o33b2o
5bobo17bobo6b2o5b2o7b2o5b2o6b2o$6b2o32bobo7bobo3bobo7bobo32b2o33b2o32b
obo7bobo3bobo7bobo4b2o$6b2o5bobo17bobo3bo5bobo5bobo5bobo5bo3bobo17bobo
5b2o33b2o5bobo17bobo3bo5bobo5bobo5bobo5bo3b2o$3bo9b3o17b3o4bo4bobo4bo
3bo4bobo4bo4b3o17b3o9bo27bo9b3o17b3o4bo4bobo4bo3bo4bobo4bo8bo$3b3o34b
2o3bobo3b2o3b2o3bobo3b2o34b3o27b3o34b2o3bobo3b2o3b2o3bobo3b2o6b3o$3b2o
bo10b2o11b2o13bobo13bobo13b2o11b2o10bob2o27b2obo10b2o11b2o13bobo13bobo
10bob2o$5b3o8b2obo9bob2o11b2ob2o11b2ob2o11b2obo9bob2o8b3o31b3o8b2obo9b
ob2o11b2ob2o11b2ob2o8b3o$5b3o11b2o7b2o49b2o7b2o11b3o31b3o11b2o7b2o43b
3o$15b2o3bo7bo3b2o41b2o3bo7bo3b2o51b2o3bo7bo3b2o$16bo3bo7bo3bo43bo3bo
7bo3bo53bo3bo7bo3bo$5bo9bo17bo41bo17bo9bo31bo9bo17bo41bo$3b2o10b2ob2o
9b2ob2o41b2ob2o9b2ob2o10b2o27b2o10b2ob2o9b2ob2o42b2o$4bo2bo9b2o11b2o
45b2o11b2o9bo2bo29bo2bo9b2o11b2o41bo2bo$5b3o93b3o31b3o65b3o$5bo2bo7b3o
11b3o43b3o11b3o7bo2bo31bo2bo7b3o11b3o39bo2bo$7bo10bo11bo47bo11bo10bo
35bo10bo11bo42bo$5bobo93bobo31bobo65bobo$4bobobo8b3o9b3o45b3o9b3o8bobo
bo29bobobo8b3o9b3o40bobobo$2b3obobo9bobo7bobo47bobo7bobo9bobob3o25b3ob
obo9bobo7bobo41bobob3o2$2b2o13bo2bo7bo2bo45bo2bo7bo2bo13b2o25b2o13bo2b
o7bo2bo45b2o$bobobo13bo9bo49bo9bo13bobobo23bobobo13bo9bo45bobobo$bobo
2b2o9b3o9b3o13b3o13b3o13b3o9b3o9b2o2bobo23bobo2b2o9b3o9b3o13b3o13b3o9b
2o2bobo$5b3o36bo3bo2b3ob3o2bo3bo36b3o31b3o36bo3bo2b3ob3o2bo3bo8b3o$18b
obo7bobo10b2o10bobo10b2o10bobo7bobo57bobo7bobo10b2o10bobo10b2o$2b3o13b
o11bo9b2o9bobobobo9b2o9bo11bo13b3o25b3o13bo11bo9b2o9bobobobo9b2o7b3o$
2o15b2o11b2o7bo29bo7b2o11b2o15b2o21b2o15b2o11b2o7bo29bo9b2o$3o3bo10b2o
3bo3bo3b2o6b5o6b2o7b2o6b5o6b2o3bo3bo3b2o10bo3b3o21b3o3bo10b2o3bo3bo3b
2o6b5o6b2o7b2o6b5o3bo3b3o$2o2bobo14bo5bo10b2ob2o3bob2obo5bob2obo3b2ob
2o10bo5bo14bobo2b2o21b2o2bobo14bo5bo10b2ob2o3bob2obo5bob2obo3b2ob2o3bo
bo2b2o$bo3bo11bo2bo7bo2bo7b4o6b2ob2ob2ob2o6b4o7bo2bo7bo2bo11bo3bo23bo
3bo11bo2bo7bo2bo7b4o6b2ob2ob2ob2o6b4o5bo3bo$bo12bo19bo5bo4bo7bobo7bo4b
o5bo19bo12bo23bo12bo19bo5bo4bo7bobo7bo4bo10bo$18b3o7b3o13bo5b4ob4o5bo
13b3o7b3o57b3o7b3o13bo5b4ob4o5bo$40b3o9bo3bo9b3o101b3o9bo3bo9b3o$14bo
2b2obobo3bobob2o2bo7bo23bo7bo2b2obobo3bobob2o2bo49bo2b2obobo3bobob2o2b
o7bo23bo$15bob2o2bobobobo2b2obo41bob2o2bobobobo2b2obo51bob2o2bobobobo
2b2obo$16b3o2bo5bo2b3o10bo21bo10b3o2bo5bo2b3o53b3o2bo5bo2b3o10bo21bo$
14bob2o13b2obo9bo19bo9bob2o13b2obo49bob2o13b2obo9bo19bo$13b2o3bo4bobo
4bo3b2o7b2o19b2o7b2o3bo4bobo4bo3b2o47b2o3bo4bobo4bo3b2o7b2o19b2o$13b2o
2b4o2bobo2b4o2b2o6b2o21b2o6b2o2b4o2bobo2b4o2b2o47b2o2b4o2bobo2b4o2b2o
6b2o21b2o$17b2obo2bobo2bob2o8b3o23b3o8b2obo2bobo2bob2o55b2obo2bobo2bob
2o8b3o23b3o$17bo3bobobobo3bo45bo3bobobobo3bo55bo3bobobobo3bo$17bob2o2b
obo2b2obo9b2o23b2o9bob2o2bobo2b2obo55bob2o2bobo2b2obo9b2o23b2o$16b3o
11b3o8b2o23b2o8b3o11b3o53b3o11b3o8b2o23b2o$18bo3bo3bo3bo8b4obo19bob4o
8bo3bo3bo3bo57bo3bo3bo3bo8b4obo19bob4o$16b2o4bo3bo4b2o6bo5b2o15b2o5bo
6b2o4bo3bo4b2o53b2o4bo3bo4b2o6bo5b2o15b2o5bo$23bobo57bobo67bobo$22b2ob
2o20bo13bo20b2ob2o65b2ob2o20bo13bo$21b3ob3o16bo2bo13bo2bo16b3ob3o63b3o
b3o16bo2bo13bo2bo$21bobobobo14b3o2bo13bo2b3o14bobobobo63bobobobo14b3o
2bo13bo2b3o$19bobo5bobo11b2o23b2o11bobo5bobo59bobo5bobo11b2o23b2o$21bo
5bo53bo5bo63bo5bo$22bo3bo18b2o15b2o18bo3bo65bo3bo18b2o15b2o$23bobo19b
2o15b2o19bobo67bobo19b2o15b2o$21bobobobo14b2o3bo13bo3b2o14bobobobo63bo
bobobo14b2o3bo13bo3b2o$20b2obobob2o13b2o3b2o11b2o3b2o13b2obobob2o61b2o
bobob2o13b2o3b2o11b2o3b2o$18b2ob2o3b2ob2o8bo5bob2o11b2obo5bo8b2ob2o3b
2ob2o57b2ob2o3b2ob2o8bo5bob2o11b2obo5bo$18b3o7b3o6b2obo5bo15bo5bob2o6b
3o7b3o57b3o7b3o6b2obo5bo15bo5bob2o$19bo9bo7b2o2bo25bo2b2o7bo9bo59bo9bo
7b2o2bo25bo2b2o$23b3o13bo2bo23bo2bo13b3o67b3o13bo2bo23bo2bo$22b2ob2o
12bo2bo23bo2bo12b2ob2o65b2ob2o12bo2bo23bo2bo$40b2o25b2o101b2o25b2o$22b
2ob2o10bob2o27b2obo10b2ob2o65b2ob2o10bob2o27b2obo$23bobo10bo2bo29bo2bo
10bobo67bobo10bo2bo29bo2bo$20b2obobob2o8bo3bo25bo3bo8b2obobob2o61b2obo
bob2o8bo3bo25bo3bo$23bobo20bo15bo20bobo67bobo20bo15bo$19bo9bo9bobo3b3o
4bo3bo4b3o3bobo9bo9bo59bo9bo9bobo3b3o4bo3bo4b3o3bobo$21b2o3b2o12bo4b3o
4b2ob2o4b3o4bo12b2o3b2o63b2o3b2o12bo4b3o4b2ob2o4b3o4bo$51bobobobo123bo
bobobo$18b2o9b2o11bo9bo3bo9bo11b2o9b2o57b2o9b2o11bo9bo3bo9bo$18b2ob2o
3b2ob2o10b3o6bo7bo6b3o10b2ob2o3b2ob2o57b2ob2o3b2ob2o10b3o6bo7bo6b3o$
21bo5bo14b2o4b3o7b3o4b2o14bo5bo63bo5bo14b2o4b3o7b3o4b2o$18b4o5b4o9bo7b
o2b2o3b2o2bo7bo9b4o5b4o57b4o5b4o9bo7bo2b2o3b2o2bo7bo$16bo5bo3bo5bo6bob
o6b6ob6o6bobo6bo5bo3bo5bo53bo5bo3bo5bo6bobo6b6ob6o6bobo$15b2obo3bo3bo
3bob2o4b2obo7bo9bo7bob2o4b2obo3bo3bo3bob2o51b2obo3bo3bo3bob2o4b2obo7bo
9bo7bob2o$18bobobo3bobobo10bo9bobobobo9bo10bobobo3bobobo57bobobo3bobob
o10bo9bobobobo9bo$15b2o4bo5bo4b2o4b2o12b2ob2o12b2o4b2o4bo5bo4b2o51b2o
4bo5bo4b2o4b2o12b2ob2o12b2o$21bo5bo53bo5bo63bo5bo$22b2ob2o5bo6bo29bo6b
o5b2ob2o65b2ob2o5bo6bo$32bo6bo29bo6bo85bo6bo$32b2o4b2o29b2o4b2o85b2o4b
2o$33b2o2b2o31b2o2b2o87b2o2b2o$33b2o2b2o31b2o2b2o87b2o2b2o$32b3o2b3o
29b3o2b3o85b3o2b3o$28bobobo6bobobo21bobobo6bobobo77bobobo6bobobo$28bob
ob2o4b2obobo21bobob2o4b2obobo77bobob2o4b2obobo$28bo3b8o3bo21bo3b8o3bo
77bo3b8o3bo$29b3o3b2o3b3o23b3o3b2o3b3o79b3o3b2o3b3o$29b3o8b3o23b3o8b3o
79b3o8b3o!

Smaller weekender-less doo-dah support, based on new spaceships:

Code: Select all

x = 44, y = 108, rule = B3/S23
2b3o13b3o2$2bobo13bobo$3bo6b3o6bo2$4bo5bobo5bo$3b3o5bo5b3o$b2o2bo11bo
2b2o$b2o4bob2ob2obo4b2o$5ob3obobob3ob5o$bob2ob3obobob3ob2obo$3bo6bobo
6bo$3bo3b2obobob2o3bo$10bobo$6bo3bobo3bo$5bo4bobo4bo$5bo3bo3bo3bo$5b2o
9b2o$bo19bo$bo19bo$obo17bobo2$obo17bobo$3o17b3o2$4b2o11b2o$3b2obo9bob
2o$6b2o7b2o$2b2o3bo7bo3b2o$3bo3bo7bo3bo$2bo17bo$2b2ob2o9b2ob2o$4b2o11b
2o2$3b3o11b3o$5bo11bo2$4b3o9b3o$5bobo7bobo2$4bo2bo7bo2bo$6bo9bo$4b3o9b
3o2$5bobo7bobo$5bo11bo$4b2o11b2o$4b2o3bo3bo3b2o$8bo5bo$4bo2bo7bo2bo$bo
19bo$5b3o7b3o2$bo2b2obobo3bobob2o2bo$2bob2o2bobobobo2b2obo$3b3o2bo5bo
2b3o$bob2o13b2obo$2o3bo4bobo4bo3b2o$2o2b4o2bobo2b4o2b2o$4b2obo2bobo2bo
b2o$4bo3bobobobo3bo$4bob2o2bobo2b2obo$3b3o11b3o$5bo3bo3bo3bo$3b2o4bo3b
o4b2o$10bobo$9b2ob2o$8b3ob3o$8bobobobo$6bobo5bobo6b3o13b3o$8bo5bo8bobo
13bobo$9bo3bo9b3o13b3o$10bobo18b3o$8bobobobo9bo6bobo6bo$7b2obobob2o7b
2obo4b3o4bob2o$5b2ob2o3b2ob2o5b2o15b2o$5b3o7b3o5b2o5bo3bo5b2o$6bo9bo8b
o4bo3bo4bo$10b3o8b2o2bob3obobob3obo2b2o$9b2ob2o7b2o3bobo2bobo2bobo3b2o
$28bo2bobo2bo$9b2ob2o16b2ob2o$10bobo18bobo$7b2obobob2o11bobo5bobo$10bo
bo12b3o2b2ob2o2b3o$6bo9bo8bo13bo$8b2o3b2o10b3o9b3o2$5b2o9b2o7b3o9b3o$
5b2ob2o3b2ob2o7b3o9b3o$8bo5bo$5b4o5b4o$3bo5bo3bo5bo6b3o7b3o$2b2obo3bo
3bo3bob2o4bo3bo5bo3bo$5bobobo3bobobo10bo7bo$2b2o4bo5bo4b2o4b2o11b2o$8b
o5bo$9b2ob2o5bo6bo$19bo6bo$19b2o4b2o$20b2o2b2o$20b2o2b2o$19b3o2b3o$15b
obobo6bobobo$15bobob2o4b2obobo$15bo3b8o3bo$16b3o3b2o3b3o$16b3o8b3o!

I6_I6 · Post by **I6_I6** » August 13th, 2025, 4:54 am

I just have a question that I couldn't think of anywhere else to post on:
Why does progress on so many crawler-based spaceships just stop?
For example, progress on 13131 ((13, 1)c/ 31 pseudo-b climber) seems to have stopped in 2021. There are also several other crawlerswhere people start to make caterpillars but stop. Why?

Post by **dvgrn** » August 13th, 2025, 7:26 am

I6_I6 wrote: August 13th, 2025, 4:54 am I just have a question that I couldn't think of anywhere else to post on:
Why does progress on so many crawler-based spaceships just stop?
For example, progress on 13131 ((13, 1)c/ 31 pseudo-b climber) seems to have stopped in 2021. There are also several other crawlers where people start to make caterpillars but stop. Why?

Long story short, the normal state of difficult high-complexity CGoL construction projects is "stalled".

Given the size of the community, there are never enough people who have time and skills enough to complete all the possible interesting tasks that we can collectively think of.

Every now and then enthusiasm builds on some particular project, especially once we know we have all the pieces we need and they "just" have to be assembled and tested. If we're lucky, the momentum builds enough to reach completion, as it did for the RCT15 project and each of the last several N-bit-still life synthesis projects. If we're not lucky, we get most of the way through and then collectively temporarily run out of time and energy, like for the unidimensional spaceship project.

Or, more often, some unusually patient person gradually gathers the necessary expertise and single-handedly picks away at a large project until it's done -- e.g., calcyman's 0E0P metacell, Hippo.69's hyper-optimized RCT15, many of Goldtiger997's projects like the spacefiller synthesis, the Stable Storage Spaceship, the SSOL, etc.

People tend to build the easy stuff first. That makes it look like anything is possible, to people that haven't looked at all the details --

"okay, we've got a (34,7)c/156 crawler spaceship -- now let's just do the same for all these other crawler reactions!"

... It's not that easy. Each crawler is a separate problem, and there's no magic algorithm that can automatically assemble spaceships as soon as we've found a vaguely promising-looking crawler. And if it was easy to write an automatic-exploration search script that can reliably make new breakthroughs about how to use arbitrary crawler reactions, somebody would have done it already.

Speaking for myself, and looking at the list of hypothetical crawlers that haven't turned into spaceships yet, the reason I haven't finished building any of them is that in many cases I don't quite see how to do it. There's often no simple rephaser/rake pairing on a known fixed set of tracks that can either emit gliders or not emit gliders. Instead, there's just some crawler reaction that either

emits too little (can't get gliders out easily at all even by running multiple tracks near each other), or
emits too much (can't stop the crawler from spewing unwanted gliders at the edges, even with multiple tracks, without lots of special-case suppression cleverness).

That's generally a sign that more research is needed. We're waiting for new discoveries -- and while we're doing that, the normal state of construction projects is ... well ... exactly what you're seeing: no progress, because no breakthroughs just at the moment.

I6_I6 · Post by **I6_I6** » August 13th, 2025, 8:34 am

Thanks, that clears it up!

AGreason · Post by **AGreason** » September 7th, 2025, 2:59 pm

Some qfind results from testing the new patch that improved manycore utilization

time ./qfind -r B3/S23 -v c/9 -w 8 -s gutter -q 20 -h 20 -t 256:

Code: Select all

0 spaceships found.
Maximum depth reached: 503
Longest partial result:

Code: Select all

x = 17, y = 55, rule = B3/S23
3b2o7b2o$3bob2o3b2obo2$4bo7bo$4bo7bo$5bobobobo$2bobo7bobo$2bobo
7bobo2$2b3o7b3o$bo2bo7bo2bo$2bo11bo$4bo2bobo2bo2$4bo7bo$7bobo$4b
2obobob2o$2b2o2bo3bo2b2o$ob2o9b2obo$b3o9b3o$2b2o9b2o$4bo7bo$b2ob
o7bob2o$bo2bo7bo2bo$2o2bo7bo2b2o$bo13bo$bo4bo3bo4bo$bo5bobo5bo$b
o3b2o3b2o3bo$2bobo7bobo$2b3o7b3o$2b2o9b2o$5b2o3b2o$6bo3bo$3b3obo
bob3o$2b2obobobobob2o$bo3bobobobo3bo2$o3b2o5b2o3bo$b3o2bo3bo2b3o
$5bobobobo$5bobobobo$2b5o3b5o$2b2o9b2o$2bo3bo3bo3bo$5b2o3b2o$5b2o
3b2o$bo13bo$bobobo5bobobo$bo2bo7bo2bo$3bo2bo3bo2bo$5b2o3b2o$ob2o
9b2obo$o3b2o5b2o3bo$2b2obo5bob2o!

Code: Select all

real    68m13.851s
user    15553m21.304s
sys     2m26.862s

time ./qfind -r B3/S23 -v 2c/9 -w 9 -s gutter -q 20 -h 20 -t 256:

Code: Select all

0 spaceships found.
Maximum depth reached: 353
Longest partial result:

Code: Select all

x = 19, y = 37, rule = B3/S23
4b5ob5o$3bob2obobob2obo$4bo2b2ob2o2bo3$7bo3bo$6b3ob3o$5bo7bo$4b
o3bobo3bo$2bob2o7b2obo$bobo11bobo$4b3o5b3o$o2b2o9b2o2bo$4bo9bo$b
o15bo$bo3bo7bo3bo$3b2o9b2o$3b2o9b2o$2b3o2b2ob2o2b3o$2b2obo2bobo2b
ob2o$4b3obobob3o$8bobo$3bo4bobo4bo$2bo2bob2ob2obo2bo$2bo4bo3bo4b
o$3bo11bo$3b2obo5bob2o$2bob3o5b3obo$2obo2b2o3b2o2bob2o$bo6bobo6b
o$2bob3obobob3obo2$4b2o7b2o$2b3o2b2ob2o2b3o$2obobo2bobo2bobob2o$
4b3obobob3o$o5b2o3b2o5bo!

Code: Select all

real    61m57.522s
user    14896m41.267s
sys     55m48.097s

-v 2c/9 -w 9 -s odd -q 20 -h 20 -t 256:

Code: Select all

0 spaceships found.
Maximum depth reached: 412
Longest partial result:

Code: Select all

x = 17, y = 45, rule = B3/S23
8bo$8bo$7bobo$4b2o5b2o$5bo5bo$3b3o5b3o$2b2o9b2o2$3bobo5bobo$5bo
5bo$2bo2bo2bo2bo2bo$bo3bobobobo3bo$2b2o3bobo3b2o$6b2ob2o$7bobo$2b
2o4bo4b2o$2b2obo5bob2o$3b3o5b3o$4b2o5b2o$6bo3bo$6bo3bo$5bobobobo
$4b4ob4o$3b2o2bobo2b2o$2bo4bobo4bo$b2ob3o3b3ob2o$2bo2bo5bo2bo$2b
2o9b2o$2bob2o5b2obo$b2ob3o3b3ob2o$2bo11bo$5b2o3b2o$bobob2o3b2obo
bo$bobo9bobo$3bobo5bobo$2obob2o3b2obob2o$5bo5bo$6bo3bo$b2o11b2o$
b3o9b3o$4b3obob3o$2o4bobobo4b2o$4bo3bo3bo$3bo9bo$2bo2bobobobo2bo
!

Code: Select all

real    100m54.543s
user    24497m59.296s
sys     77m22.046s

v 2c/9 -w 9 -s even -q 20 -h 20 -t 256:

Code: Select all

0 spaceships found.
Maximum depth reached: 362
Longest partial result:

Code: Select all

x = 18, y = 39, rule = B3/S23
4b2o6b2o$3bo2b2o2b2o2bo$3b2ob2o2b2ob2o$4bo2bo2bo2bo$5bo6bo$3bob
obo2bobobo$3bo2bob2obo2bo$5bo6bo$4bo8bo$7b4o$5bo6bo$5bo6bo$5bo6b
o$6b2o2b2o$6bo4bo$6b6o2$3b12o$2b2o2b6o2b2o$bo5b4o5bo$5b8o$7b4o$5b
2ob2ob2o$2b3o8b3o$2bo3b2o2b2o3bo$2b3o2b4o2b3o$3b2o3b2o3b2o$8b2o$
8b2o$5bobo2bobo$3bo3bo2bo3bo$5b2o4b2o$b3o2bo4bo2b3o$o16bo$3bobo6b
obo$3bo3bo2bo3bo$2obo10bob2o$4b3o4b3o$2o2bo8bo2b2o!

Also, a c/12 w6 even

Code: Select all

0 spaceships found.
Maximum depth reached: 433
Longest partial result:

Code: Select all

x = 12, y = 36, rule = B3/S23
5b2o$4b4o$3bob2obo$3b2o2b2o2$3bo4bo$2b2o4b2o$2b2o4b2o$3b6o$3b2o
2b2o$5b2o$4b4o$4bo2bo$5b2o2$5b2o$5b2o$b3o4b3o$b2o6b2o$2bob4obo$2b
8o$bo2bo2bo2bo$bob2o2b2obo$bob6obo$2o8b2o$3obo2bob3o$3b2o2b2o2$3b
o4bo$b2o6b2o$bo2bo2bo2bo$4bo2bo2$2b3o2b3o$bo2bo2bo2bo$3obo2bob3o
!

c/12 w6 odd:

Code: Select all

0 spaceships found.
Maximum depth reached: 406
Longest partial result:

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x = 11, y = 33, rule = B3/S23
5bo$4bobo$3b2ob2o$3b2ob2o3$5bo$4bobo$4bobo$4bobo$4bobo$3bo3bo$3b
o3bo$4b3o$5bo$4b3o$3bo3bo$4b3o3$2bob3obo$5bo$2bo2bo2bo$bo3bo3bo$
2bobobobo2$2b3ob3o$2b2o3b2o$3bobobo2$o9bo$b2o5b2o$b3o3b3o!

Code: Select all

real    13m30.155s
user    3156m41.683s
sys     0m44.647s

c/12 w6 gutter:

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0 spaceships found.
Maximum depth reached: 376
Longest partial result:

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x = 13, y = 31, rule = B3/S23
3bo5bo$2bobo3bobo$2bobo3bobo$3bo5bo3$2b3o3b3o$2b3o3b3o$bobobobo
bobo$4b2ob2o$4b2ob2o$2b3o3b3o$bo9bo$2b3o3b3o2$2b3o3b3o$5bobo$3bo
bobobo$bobo5bobo$o2b2o3b2o2bo$4bo3bo$4b2ob2o2$b2ob2ob2ob2o$3b3ob
3o$2bo2bobo2bo$2b2obobob2o$5bobo$3bo5bo$obobo3bobobo$2ob3ob3ob2o
!

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real    8m23.951s
user    1922m32.945s
sys     0m37.663s

./qfind -t 256 -v 3c/11 -s odd -w 8 -q 20:

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0 spaceships found.
Maximum depth reached: 482
Longest partial result:

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x = 15, y = 43, rule = B3/S23
6b3o2$7bo3$7bo$6b3o$6b3o$7bo2$5b2ob2o$5b2ob2o$6bobo$7bo$2b3o2bo
2b3o$bo2bo5bo2bo$2bo9bo$4bo2bo2bo$3bo7bo$3bo2bobo2bo$6bobo$3bobo
3bobo$4bobobobo$5b2ob2o2$6bobo$6bobo$5bo3bo$b2ob2o3b2ob2o$b2obo5b
ob2o$o4bo3bo4bo$2b3o5b3o$b4o5b4o$3bobo3bobo$b5o3b5o$o13bo$o2b3o3b
3o2bo$5b2ob2o$o2bo7bo2bo$o4b5o4bo$2b4o3b4o$3b2o5b2o$2o4bobo4b2o!

(didn't have timer on but it was about 2 hours 20 min)

The only w10 gutter c/7 ship is two loafers (and "two loafers but they're each flipped the other way"), or technically could also be loafer pushalongs that were not output due to qfind's duplicate row elimination. Attached the last dump (it's a dumpfile, not a .txt, but the forum didn't let me attach it until I slapped an allowed file extension on it). It says zero spaceships found despite the fact that it did find the loafers (multiple times) because I resumed it from dump partway through, after it was done finding the loafers.

Code: Select all

0 spaceships found.
Maximum depth reached: 1058
Longest partial result:

Code: Select all

x = 21, y = 151, rule = B3/S23
7bo5bo$6bobo3bobo$6bobo3bobo$7bo5bo2$4bo3b2ob2o3bo$4bo3b2ob2o3b
o$4bo11bo3$3b3ob2o3b2ob3o$2bo6bobo6bo$7bobobobo$3bo5bobo5bo$6b2o
bobob2o$7bobobobo$6b2obobob2o$6b3o3b3o$6bo7bo$4bobo7bobo$3bo2bo7b
o2bo$3b2o4bobo4b2o$3b3o2b2ob2o2b3o$4bobo7bobo$3b2ob2o5b2ob2o$8bo
3bo$5b3o5b3o$4bo2bobobobo2bo$3bobo3bobo3bobo$3bo3bobobobo3bo$2bo
2b2obo3bob2o2bo$2bo2bo9bo2bo$3bo13bo3$b4ob3o3b3ob4o$bo5b2o3b2o5b
o$b3o2b2o5b2o2b3o$3b2o2bo5bo2b2o$4b2ob2o3b2ob2o$4bo2bo5bo2bo$4b2o
bo5bob2o$6bobo3bobo$4bo11bo$4bo11bo$5b2o7b2o$4b3o7b3o$4b2o2bo3bo
2b2o$3b3obobobobob3o$4bob4ob4obo$4b4obobob4o$4bo3bo3bo3bo$4bo2bo
bobobo2bo$5bob2o3b2obo3$5b3o5b3o$3bo2b3o3b3o2bo$3bo3bobobobo3bo$
2bo3bo7bo3bo$3bobo2bo3bo2bobo$3bo3b2o3b2o3bo$4bo11bo$4bo3bo3bo3b
o$2bo3bobo3bobo3bo$bo17bo$2bo4b2o3b2o4bo$3bo3bobobobo3bo$4b2obob
obobob2o$3bobobobobobobobo$2bo4bobobobo4bo$9bobo$2b2obo2bo3bo2bo
b2o$6b3o3b3o$8bo3bo$5b4o3b4o$5b3o5b3o$4bo11bo$4bo11bo$4b2o9b2o2$
4bobo7bobo$7bo5bo$2b2o3bo5bo3b2o$3bob2o7b2obo$2bob2o9b2obo$6bo7b
o$2b2ob3o5b3ob2o$2b3o2bo5bo2b3o$3bo13bo$2b3obo7bob3o2$6bo7bo$6b2o
5b2o$6b2o5b2o$5bobo5bobo$4b2ob2o3b2ob2o$3bo13bo$4b2ob2o3b2ob2o$4b
o11bo$2bo15bo$2bo15bo$4bo11bo$3b3o9b3o$b2ob2o9b2ob2o$2b2o3bo5bo3b
2o$6bobo3bobo$4bob4ob4obo$4b2obobobobob2o$6b3o3b3o$2bobobo7bobob
o$8b2ob2o$6bo2bobo2bo$3bo2bob2ob2obo2bo2$4bob3o3b3obo$5b5ob5o2$4b
2o2b2ob2o2b2o$3bo2bo2bobo2bo2bo$4bo11bo$6b2o5b2o$2b4o9b4o$bo3bo2b
2ob2o2bo3bo$2b3o3bo3bo3b3o$3b4o7b4o$3b4o7b4o$6b2o5b2o$8bo3bo$2b2o
3b2o3b2o3b2o$2b2obo2bo3bo2bob2o$b3o2b2o5b2o2b3o$b2o2bo2bo3bo2bo2b
2o$3o3bo2bobo2bo3b3o$2o3bo3bobo3bo3b2o$6bo7bo$bo2b3o2bobo2b3o2bo
$b6ob2ob2ob6o$2bo4bobobobo4bo$2bo6bobo6bo$b2o5bo3bo5b2o$b2o3bobo
3bobo3b2o$3b3o2bo3bo2b3o$3b2obobo3bobob2o$4bo11bo$2b2ob2obo3bob2o
b2o$6bobo3bobo$bo6bo3bo6bo$b3o2b2o5b2o2b3o$3o2b3o5b3o2b3o$3ob2ob
2o3b2ob2ob3o!

Took about 3.6 thread-years.

c/12 w7 even

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0 spaceships found.
Maximum depth reached: 565
Longest partial result:

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x = 14, y = 47, rule = B3/S23
6b2o$5b4o$4bob2obo$4b2o2b2o2$4bo4bo$3b2o4b2o$3b2o4b2o$4b6o$4b2o
2b2o$6b2o$5b4o$5bo2bo$6b2o2$6b2o$6b2o$2b3o4b3o$2b2o6b2o$3bob4obo
$2b10o$2b2o6b2o$2bobo4bobo$3b2o4b2o$2bo2bo2bo2bo$3bo6bo$5bo2bo$b
o4b2o4bo$5bo2bo$2b2o6b2o$3bobo2bobo$3bo6bo$3bo6bo$5bo2bo$5bo2bo$
5bo2bo$4bo4bo$2o3bo2bo3b2o$o2bobo2bobo2bo$b3o6b3o$3bo6bo$b2o8b2o
$b2o8b2o$6b2o$2bobob2obobo$2b2o6b2o$2ob3o2b3ob2o!

./qfind -r B3/S23 -v 2c/10 -w 8 -s gutter -f 1 -h 0 -q 20 -t 256

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0 spaceships found.
Maximum depth reached: 393
Longest partial result:

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x = 17, y = 37, rule = B3/S23
4bobo3bobo$2bo3b2ob2o3bo$2bo4bobo4bo$bo4b2ob2o4bo$2bo3bo3bo3bo$
2bo11bo$3bo9bo$4bobo3bobo$4bo2bobo2bo$7bobo$6b2ob2o$3bo2bo3bo2bo
$5bo5bo$3b3o5b3o$3b2o7b2o$3b2obo3bob2o$ob2o2bo3bo2b2obo$2o2bo7bo
2b2o$4b2o5b2o2$5bo5bo2$3b2ob2ob2ob2o$5b3ob3o$bobo9bobo$obo11bobo
$obob2o5b2obobo$2bobobo3bobobo$4bobo3bobo$3b2o7b2o$4b2o5b2o$6bo3b
o$2bo11bo$2b3o7b3o$2b2o3bobo3b2o$4bob2ob2obo$7bobo!

Code: Select all

real    44m18.920s
user    10704m23.229s
sys     2m25.777s

time ./qfind -r B3/S23 -v 3c/9 -w 9 -s gutter -f 1 --disable-subperiod -q 20 -h 20 -t 256

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0 spaceships found.
Maximum depth reached: 2633
Longest partial result:

Code: Select all

x = 19, y = 292, rule = B3/S23
6bo5bo$2b3ob2o3b2ob3o$bo5b2ob2o5bo$2bo2bo2bobo2bo2bo$b6obobob6o
$bo2bobobobobobo2bo$bo6bobo6bo$b2o4b2ob2o4b2o$2b2obo2bobo2bob2o$
o5bobobobo5bo$bo4bobobobo4bo$8bobo$2b2o3b2ob2o3b2o$b3o4bobo4b3o$
b3ob2obobob2ob3o$3b2obobobobob2o$bo3b2obobob2o3bo$4b2ob2ob2ob2o$
2o2b2o2bobo2b2o2b2o$8bobo$3o5bobo5b3o$o4b2obobob2o4bo$bo3bo2bobo
2bo3bo$3b2obobobobob2o$8bobo$3bo11bo$7b2ob2o$3b2o9b2o$2bo2bo7bo2b
o$5bo7bo$7bo3bo$7bo3bo$2b2obo7bob2o$2b2o11b2o$2bobo9bobo$5b2o5b2o
$3b3o7b3o$b2o2bo7bo2b2o$2b2o11b2o$2bobo9bobo2$2b2o11b2o2$2bo13bo
$2bo13bo$2bo13bo$bobob3o3b3obobo$8bobo$5bo2bobo2bo$6bo5bo$8bobo$
4bobo5bobo$2b2obo7bob2o$2b2o11b2o$2bob3o5b3obo$2ob4o5b4ob2o$7b2o
b2o$o17bo$8bobo$4bo3bobo3bo$4b2obo3bob2o$3bobo7bobo$3bobo7bobo$3b
ob2o5b2obo$2obobobo3bobobob2o$2obobob2ob2obobob2o$3bobo7bobo$2bo
2bob2ob2obo2bo$2obo11bob2o$2obo3bo3bo3bob2o$bo5bo3bo5bo$b3o11b3o
$o17bo$4bobo5bobo$3b5o3b5o$3bo4bobo4bo$2b2o4bobo4b2o$5b2obobob2o
$bo3b2obobob2o3bo$8o3b8o$2ob3o7b3ob2o2$4b2o7b2o$2bo2bob2ob2obo2b
o$bobobo2bobo2bobobo$bob2obobobobob2obo$2bo2b2obobob2o2bo$8bobo$
3b3o2bobo2b3o$2bob2o2bobo2b2obo$2bo3bobobobo3bo$3bo2bobobobo2bo$
5b2obobob2o$7bo3bo2$4b3o5b3o$3b4o5b4o$2bo2bo7bo2bo$2b3o9b3o$2b2o
11b2o$3bob2o5b2obo$2bo13bo$2bobob2o3b2obobo$3bob2obobob2obo$8bob
o$3bo4bobo4bo$2bobo2b2ob2o2bobo$bo4bobobobo4bo$bo4bobobobo4bo$6b
obobobo$b2o5bobo5b2o$o2bo3b2ob2o3bo2bo$bobo4bobo4bobo$3bob2obobo
b2obo$bobob2obobob2obobo$2obob2obobob2obob2o$3b2o2b2ob2o2b2o$2ob
ob2obobob2obob2o$6bobobobo$3b2o3bobo3b2o$8bobo$3b2obo5bob2o$4bob
o5bobo$2bo2bo2bobo2bo2bo$b4o2b2ob2o2b4o$3o4bo3bo4b3o$8bobo$2bo3b
obobobo3bo2$2b2o3b2ob2o3b2o$7b2ob2o$b3o11b3o$b3o11b3o$2bobo9bobo
$3b4o5b4o$6b2o3b2o$5bo2bobo2bo$8bobo$8bobo$7b2ob2o$2bo3b3ob3o3bo
$b4o3bobo3b4o$o3bo3bobo3bo3bo$bo6bobo6bo$4b3obobob3o$8bobo$3bo3b
o3bo3bo$2bo13bo$2bo13bo$4bo9bo$2b2o11b2o2$2b2o11b2o$bo2bo9bo2bo$
2bobo9bobo$4b2o7b2o$4b3o5b3o$2bobo9bobo$b2o13b2o$o3bo9bo3bo$4bo9b
o$bob2o9b2obo$bo15bo$b3o11b3o2$2bo13bo2$b2o13b2o2$o17bo$obo13bob
o$3bo11bo$o17bo$2b2ob2o5b2ob2o$6bo5bo$5bobo3bobo$4bo2bo3bo2bo$4b
o9bo$2bo5bobo5bo$2bo4b2ob2o4bo$4b2o2bobo2b2o$3b3o7b3o$2b2ob2o5b2o
b2o$bo4bo5bo4bo$4bo9bo$bo2bob2o3b2obo2bo$bo3bobo3bobo3bo$o2b2obo
bobobob2o2bo2$b3o2b2o3b2o2b3o$2b2o3bo3bo3b2o$2b2o2b2o3b2o2b2o$5b
2o5b2o$3bob2o5b2obo$3b2o9b2o$4bo9bo$3b2o9b2o2$3b2o9b2o$3b2o9b2o$
2bo2bo7bo2bo$2bo3bo5bo3bo$5bo7bo$2b5o5b5o$b2o13b2o$7b2ob2o$5bo2b
obo2bo$4bobobobobobo$6bobobobo$3b2obobobobob2o$6bobobobo$2bobobo
bobobobobo$2bo2b2obobob2o2bo$2b2obo2bobo2bob2o$8bobo$3b3ob2ob2ob
3o$3b3o7b3o$4b2o7b2o$6bo5bo2$4b2ob2ob2ob2o$3b2o2b2ob2o2b2o$3b3o2b
obo2b3o$3b3o2bobo2b3o$b2o5bobo5b2o$6bobobobo$bo4bobobobo4bo$7b2o
b2o$5b3o3b3o$3bo3bo3bo3bo$3bo2bo5bo2bo$3bob3o3b3obo$7b2ob2o$5bo7b
o$5b2obobob2o$3b5o3b5o$2b2o11b2o$4bob2o3b2obo$2b4o2bobo2b4o$6bob
obobo$2b5obobob5o$bo3bo2bobo2bo3bo$2bo3bobobobo3bo$6bobobobo$5bo
2bobo2bo$2bobo2b2ob2o2bobo$b5o2bobo2b5o$o5bobobobo5bo$4bo3bobo3b
o$2b2o11b2o$7b2ob2o$2bo2bo7bo2bo$2bobo9bobo3$4bo9bo$3b3o7b3o2$3b
o2bo5bo2bo$3bo2bo5bo2bo$4bobo5bobo$4b3o5b3o$6bo5bo2$2b2o11b2o$4b
2obo3bob2o$2b2obo2bobo2bob2o$3bo3bo3bo3bo$bo3bo7bo3bo$o4b2o5b2o4b
o$4b3o5b3o$2b2ob2o5b2ob2o2$2bobo9bobo$b5o7b5o$2o15b2o$4obo7bob4o
$3bo11bo$4bo9bo$4b3o5b3o2$4b2ob2ob2ob2o$3b2ob3ob3ob2o$3b2o9b2o$3b
obo7bobo$3bo3bo3bo3bo$2b2o3b2ob2o3b2o$2bo5bobo5bo$bo3bob2ob2obo3b
o$bo3b2obobob2o3bo$b2o3bobobobo3b2o$5bob2ob2obo!

Code: Select all

real    623m44.015s
user    147557m42.388s
sys     358m16.583s

I6_I6 · Post by **I6_I6** » September 19th, 2025, 1:40 pm

I'm not entirely sure if this is new.
In jslife, there's a sparky 3c/9o:

Code: Select all

x = 37, y = 12, rule = B3/S23
11bob3o5b3obo$10b2ob2obo3bob2ob2o$9bo4b3o3b3o4bo$12b2o9b2o$2bob2ob6o2b
2o3b2o2b6ob2obo$b2ob2o4b2o4b2ob2o4b2o4b2ob2o$o2bobo2bo7b2ob2o7bo2bobo
2bo$bo5bo7b2o3b2o7bo5bo2$14bo2b3o2bo$13b11o$13b2ob5ob2o!

I've found that you can attach certain c/3s to the back of it to suppress the spark. Specifically, c/3s that have a 1-cell leading edge in one of its phases seem to work. For example, you can use a dart in 2 different phases or a brain:

Code: Select all

x = 131, y = 24, rule = B3/S23
11bob3o5b3obo32bob3o5b3obo32bob3o5b3obo$10b2ob2obo3bob2ob2o30b2ob2obo
3bob2ob2o30b2ob2obo3bob2ob2o$9bo4b3o3b3o4bo28bo4b3o3b3o4bo28bo4b3o3b3o
4bo$12b2o9b2o34b2o9b2o34b2o9b2o$2bob2ob6o2b2o3b2o2b6ob2obo14bob2ob6o2b
2o3b2o2b6ob2obo14bob2ob6o2b2o3b2o2b6ob2obo$b2ob2o4b2o4b2ob2o4b2o4b2ob
2o12b2ob2o4b2o4b2ob2o4b2o4b2ob2o12b2ob2o4b2o4b2ob2o4b2o4b2ob2o$o2bobo
2bo7b2ob2o7bo2bobo2bo10bo2bobo2bo7b2ob2o7bo2bobo2bo10bo2bobo2bo7b2ob2o
7bo2bobo2bo$bo5bo7b2o3b2o7bo5bo12bo5bo7b2o3b2o7bo5bo12bo5bo7b2o3b2o7bo
5bo2$14bo2b3o2bo38bo2b3o2bo38bo2b3o2bo$13b11o36b11o36b11o$13b2ob5ob2o
36b2ob5ob2o36b2ob5ob2o2$18bo46bo34bo11bo$17bobo44b3o32b4o7b4o$16bo3bo
42bo3bo30bo3b2o5b2o3bo$17b3o44b3o31bobo3bo3bo3bobo$63b5o31b4ob2ob2ob4o
$15b2o3b2o41bo3bo32b2obobobobob2o$13bo3bobo3bo35b3o2bobo2b3o28b2obobob
obob2o$12b2o3bobo3b2o34b2o2b2ob2o2b2o31bobobobo$11bo5bobo5bo32bo2bo2bo
bo2bo2bo26bo3bobobobo3bo$12bob2obobob2obo38bo3bo31bo2b3o3b3o2bo$99bo4b
2ob2o4bo!

Does it count as a pushalong? It doesn't affect the supporting spaceship, but it's also a spaceship on its own, except it evolves differently with the supporting spaceship.
Here are some p3 versions where the backend interacts with the rest:

Code: Select all

x = 225, y = 21, rule = B3/S23
11bob3o5b3obo32bob3o5b3obo32bob3o5b3obo32bob3o5b3obo32bob3o5b3obo$10b
2ob2obo3bob2ob2o30b2ob2obo3bob2ob2o30b2ob2obo3bob2ob2o30b2ob2obo3bob2o
b2o30b2ob2obo3bob2ob2o$9bo4b3o3b3o4bo28bo4b3o3b3o4bo28bo4b3o3b3o4bo28b
o4b3o3b3o4bo28bo4b3o3b3o4bo$12b2o9b2o34b2o9b2o34b2o9b2o34b2o9b2o34b2o
9b2o$2bob2ob6o2b2o3b2o2b6ob2obo14bob2ob6o2b2o3b2o2b6ob2obo14bob2ob6o2b
2o3b2o2b6ob2obo14bob2ob6o2b2o3b2o2b6ob2obo14bob2ob6o2b2o3b2o2b6ob2obo$
b2ob2o4b2o4b2ob2o4b2o4b2ob2o12b2ob2o4b2o4b2ob2o4b2o4b2ob2o12b2ob2o4b2o
4b2ob2o4b2o4b2ob2o12b2ob2o4b2o4b2ob2o4b2o4b2ob2o12b2ob2o4b2o4b2ob2o4b
2o4b2ob2o$o2bobo2bo7b2ob2o7bo2bobo2bo10bo2bobo2bo7b2ob2o7bo2bobo2bo10b
o2bobo2bo7b2ob2o7bo2bobo2bo10bo2bobo2bo7b2ob2o7bo2bobo2bo10bo2bobo2bo
7b2ob2o7bo2bobo2bo$bo5bo7b2o3b2o7bo5bo12bo5bo7b2o3b2o7bo5bo12bo5bo7b2o
3b2o7bo5bo12bo5bo7b2o3b2o7bo5bo12bo5bo7b2o3b2o7bo5bo2$14bo2b3o2bo38bo
2b3o2bo38bo2b3o2bo38bo2b3o2bo38bo2b3o2bo$13b11o36b11o36b11o36b11o36b
11o$13b2obo3bob2o36b2obo3bob2o36b2obo3bob2o36b2obo3bob2o36b2ob5ob2o$
206bo$17b3o44b3o44b3o44b3o44b3o$17bobo43b2ob2o39bo2b2ob2o2bo39b2ob2o
42bo3bo$16b2ob2o42b2ob2o38b4obobob4o36b2obobob2o$63b5o37bo3b2o3b2o3bo
33b2obo5bob2o38bo3bo$61b2o5b2o36bo11bo33bo3bo5bo3bo34bob2o3b2obo$153bo
bo7bobo34bob2obobob2obo$61bo7bo129bo3b3ob3o3bo$65bo134b2obobobobob2o!

And here's a variant of the 3c/9 that can be attached to itself:

Code: Select all

x = 17, y = 59, rule = B3/S23
8bo$7bobo$6bo3bo$7b3o2$5b2o3b2o$2b2o3bobo3b2o$2b2o3bobo3b2o$2o5bobo5b
2o$4b2obobob2o$o6bobo6bo$3b2o2bobo2b2o$bo2bobo3bobo2bo$b2o11b2o$b2o11b
2o$4bo7bo$4b3o3b3o$6bo3bo$3b2obo3bob2o$5b2o3b2o$5bobobobo2$5bo2bo2bo$
6b2ob2o$5b2o3b2o2$4bo2b3o2bo$3b11o$3b2ob5ob2o2$8bo$7bobo$6bo3bo$7b3o2$
5b2o3b2o$2b2o3bobo3b2o$2b2o3bobo3b2o$2o5bobo5b2o$4b2obobob2o$o6bobo6bo
$3b2o2bobo2b2o$bo2bobo3bobo2bo$b2o11b2o$b2o11b2o$4bo7bo$4b3o3b3o$6bo3b
o$3b2obo3bob2o$5b2o3b2o$5bobobobo2$5bo2bo2bo$6b2ob2o$5b2o3b2o2$4bo2b3o
2bo$3b11o$3b2ob5ob2o!

Also, here are some similar c/4s that might be new, although I don't think they are. They're not in jslife or catagolue, but I haven't checked any other sources:

Code: Select all

x = 96, y = 40, rule = B3/S23
8bo26bo26bo24bo$7bobo24bobo24bobo22bobo$7bobo24bobo24bobo22bobo$7b3o
24b3o24b3o22b3o$6bo3bo22bo3bo22bo3bo20bo3bo$4b2obobob2o18b2obobob2o18b
2obobob2o16b2obobob2o$3b3o5b3o16b3o5b3o16b3o5b3o14b3o5b3o$b2obo7bob2o
12b2obo7bob2o12b2obo7bob2o10b2obo7bob2o$bo2bo7bo2bo12bo2bo7bo2bo12bo2b
o7bo2bo10bo2bo7bo2bo2$2bobo7bobo14bobo7bobo14bobo7bobo12bobo7bobo$2bo
4b3o4bo14bo4b3o4bo14bo4b3o4bo12bo4b3o4bo$2bobo7bobo14bobo7bobo14bobo7b
obo12bobo7bobo$7bobo24bobo24bobo22bobo$3bo9bo16bo9bo16bo9bo14bo9bo$2b
2ob2o3b2ob2o14b2ob2o3b2ob2o14b2ob2o3b2ob2o12b2ob2o3b2ob2o$2bobobo3bobo
bo14bobobo3bobobo14bobobo3bobobo12bobobo3bobobo$b2o11b2o12b2o11b2o12b
2o11b2o10b2o11b2o$b3ob2o3b2ob3o12b3ob2o3b2ob3o12b3ob2o3b2ob3o10b3ob2o
3b2ob3o$bo2b2obobob2o2bo12bo2b2obobob2o2bo12bo2b2obobob2o2bo10bo2b2obo
bob2o2bo$2o13b2o10b2o13b2o10b2o13b2o8b2o13b2o$5bob3obo20bob3obo20bob3o
bo18bob3obo2$3bo3b3o3bo16bo3b3o3bo16bo3b3o3bo14bo3b3o3bo$2bob2ob3ob2ob
o14bob2ob3ob2obo14bob2ob3ob2obo12bob2ob3ob2obo$2bobo2b3o2bobo14bobo2b
3o2bobo14bobo2b3o2bobo12bobo2b3o2bobo$2bo11bo14bo11bo14bo11bo12bo11bo$
2bo2bo5bo2bo14bo2bo5bo2bo14bo2bo5bo2bo12bo2bo5bo2bo$6bo3bo22bo3bo21bo
5bo18bo5bo$b2o2bo5bo2b2o12b2o2bo5bo2b2o12b2o5bo5b2o10b2o5bo5b2o$bo2bo
7bo2bo12bo2bo7bo2bo12b3o3b3o3b3o10b3o3b3o3b3o$3b4o3b4o16b4o3b4o16b2obo
3bob2o14b2obo3bob2o$4bo2bobo2bo18bo2bobo2bo16b3obobobob3o12b3obobobob
3o$4b2obobob2o18b2obobob2o22bo24bo$5bo5bo20bo5bo$4b2o5b2o18b2o5b2o17b
2o7b2o14b2o7b2o$57b2o7b2o14b2o7b2o$6bo3bo19bo9bo17b2o5b2o14b2o9b2o$5bo
5bo19bo7bo$5bo5bo19bo7bo!

EDIT:
I reduced the c/2 p30 fore- and backrakes from jslife:

Code: Select all

x = 111, y = 123, rule = B3/S23
11bo$8b4o11bobo6bo$8b3o9bobo2bo3b2obo$6bo3bo8bo2bo6bo40b2o$6b3o9b2o4bo
4bo39bobo$3bobo4bo6bo6bo2bo43bo$2b8o6b4o4b2obo2bo$b2o9bo7bo9bo7b3o$3o
3b13o3b4ob2o4b2ob2o3bo$b3o3bo5bobo3b3o2bo3b7obo5b2o3bo$3bo4b2obo3b2obo
bo2bo2b2o6bo9b5o$bo7bo3bo2bo9b2ob6obo3b3ob2o$bobo6b3o4b4obo5b2o8bo4bo
3bo2bo$o21bobo5bo2bo5bo7bo2bo$bobo6b3o4b4obo5b2o8bo4bo3bo2bo$bo7bo3bo
2bo9b2ob6obo3b3ob2o$3bo4b2obo3b2obobo2bo2b2o6bo9b5o$b3o3bo5bobo3b3o2bo
3b7obo5b2o3bo$3o3b13o3b4ob2o4b2ob2o3bo$b2o9bo7bo9bo7b3o$2b8o6b4o4b2obo
2bo$3bobo4bo6bo6bo2bo$6b3o9b2o4bo4bo23b5o$6bo3bo8bo2bo6bo23bo4bo$8b3o
9bobo2bo3b2obo20bo$8b4o11bobo6bo21bo3bo$11bo44bo25$88bobo$87bo2bo$86b
2o$85bo4bo$84b5obo9bobo$81b2o16bo2bo$80bo3b3o11b2o$79bo3bo13bo4bo$79bo
5bo10b5obo$79b3o3bo7b2o$80bo4b2obo3bo3b3o$80b2o6bo2bo3bo$80bobo8bo5bo$
80b2o2bo6b3o3bo$81bobo8bo4b2obo$92b2o6bo$81b2o9bobo$81bo2bo7b2o2bo$82b
o4bo5b3o$82b4obo$84bo6b3o$85b2o3b2o2bo5b3o$85bo2b2ob2o$85b3ob2obobo4bo
2bo$53bobo30bo7bo2b2obo$52bo2bob2o28b4obobo2b3o$51b2o7bo26bo3b2o7bo$
50bo4bo4bo2bo25b2o3bo2b3o$49b5obo4bo2bo25b4obo2b2obo$46b2o9bo3bo30bobo
4bo2bo$45bo3b3o5bo4b3o$44bo3bo8b2obobo14b2o21b3o$44bo5bo9bo2b2o11bo2bo
$44bo2bo2bo11bo5bo8bobo$45bobo2b2obo7b6obo$53bo6bo6bo9b2o2b2o13b2o$44b
3o12bo3b2o16b2o13b2o10bo$44b2o13bo3bo44bobo$44b3o12bo3b2o16b2o13b2o10b
2o$53bo6bo6bo9b2o2b2o13b2o$45bobo2b2obo7b6obo$44bo2bo2bo11bo5bo8bobo
12b3o$44bo5bo9bo2b2o11bo2bo14bo$44bo3bo8b2obobo14b2o14bo$45bo3b3o5bo4b
3o$11bo34b2o9bo3bo$8b4o11bobo6bo16b5obo4bo2bo$8b3o9bobo2bo3b2obo17bo4b
o4bo2bo$6bo3bo8bo2bo6bo21b2o7bo9b2o$6b3o9b2o4bo4bo22bo2bob2o10bobo$3bo
bo4bo6bo6bo2bo25bobo15bo$2b8o6b4o4b2obo2bo$b2o9bo7bo9bo7b3o$3o3b13o3b
4ob2o4b2ob2o3bo$b3o3bo5bobo3b3o2bo3b7obo5b2o3bo$3bo4b2obo3b2obobo2bo2b
2o6bo9b5o$bo7bo3bo2bo9b2ob6obo3b3ob2o$bobo6b3o4b4obo5b2o8bo4bo3bo2bo$o
21bobo5bo2bo5bo7bo2bo$bobo6b3o4b4obo5b2o8bo4bo3bo2bo$bo7bo3bo2bo9b2ob
6obo3b3ob2o$3bo4b2obo3b2obobo2bo2b2o6bo9b5o$b3o3bo5bobo3b3o2bo3b7obo5b
2o3bo$3o3b13o3b4ob2o4b2ob2o3bo$b2o9bo7bo9bo7b3o$2b8o6b4o4b2obo2bo$3bob
o4bo6bo6bo2bo$6b3o9b2o4bo4bo23b5o$6bo3bo8bo2bo6bo23bo4bo$8b3o9bobo2bo
3b2obo20bo$8b4o11bobo6bo21bo3bo$11bo44bo!

Previous backrake:

Code: Select all

x = 79, y = 46, rule = B3/S23
11bo$8b4o11bobo6bo$8b3o9bobo2bo3b2obo$6bo3bo8bo2bo6bo40b2o$6b3o9b2o4bo
4bo39bobo$3bobo4bo6bo6bo2bo43bo$2b8o6b4o4b2obo2bo$b2o9bo7bo9bo7b3o$3o
3b13o3b4ob2o4b2ob2o3bo$b3o3bo5bobo3b3o2bo3b7obo5b2o3bo$3bo4b2obo3b2obo
bo2bo2b2o6bo9b5o$bo7bo3bo2bo9b2ob6obo3b3ob2o$bobo6b3o4b4obo5b2o8bo4bo
3bo2bo$o21bobo5bo2bo5bo7bo2bo$bobo6b3o4b4obo5b2o8bo4bo3bo2bo$bo7bo3bo
2bo9b2ob6obo3b3ob2o$3bo4b2obo3b2obobo2bo2b2o6bo9b5o$b3o3bo5bobo3b3o2bo
3b7obo5b2o3bo$3o3b13o3b4ob2o4b2ob2o3bo$b2o9bo7bo9bo7b3o$2b8o6b4o4b2obo
2bo$3bobo4bo6bo6bo2bo25bobo$6b3o9b2o4bo4bo20bobo2bo$6bo3bo8bo2bo6bo19b
o2bo$8b3o9bobo2bo3b2obo15b2o4bo5b3o$8b4o11bobo6bo14bo4bo3bo3b3o$11bo
34b5obo3bobo$45bo10bo3b3o$45b6obobo5b3o$42bobo7bo$41b6ob2o$40b2o5b2o$
39b2o4b2o4bo$40b2o4b4obo2$40b2o4b4obo$39b2o4b2o4bo$40b2o5b2o$41b6ob2o$
42bobo7bo$45b6obo$45bo$47b2o$47b4o$50bo!

The MWSS can replace the p6 ship even though it's p4.

EDIT 2:
A lot of this was known (see 117P9H3V0)

Post by **Sokwe** » October 5th, 2025, 5:38 am

I used a modification of LLS to find all non-glider period-4 c/4 diagonal spaceships up to 25 cells. The search found crab in both orientations and nothing else.

I split the search into 77 pieces, which are attached below:

c4d25_setup.zip: (138.46 KiB) Downloaded 37 times

I ran these searches using the SC2025 version of CaDiCaL configured with the `--competition` option available here. The input for the searches varies somewhat. Specifically, inputs of the form c4d25_tN_K.jdf use the following input:

Code: Select all

./lls c4d25_tN_K.jdf --filter_glider 18 19 -p '<=25' --force_determined --solver cadical -n -j c4d25_solutions

Inputs of the form c4d25_gN_K.jdf use the following input:

Code: Select all

./lls c4d25_gN_K.jdf --filter_glider 18 19 -p '<=25' --force_determined --solver cadical -n -j c4d25_solutions --filters filters_gN.txt

Finally, c4d25_base.jdf uses the following input:

Code: Select all

./lls c4d25_base.jdf --filter_glider 18 19 -p '<=25' --force_determined --solver cadical -n -j c4d25_solutions --filters filters_all.txt

These searches ranged from 15 minutes to 2.5 days, so it wasn't the most efficient split. Most of the time was taken up by the "t1", "g1", and "base" searches.

Here is an explanation of the new options in this modification of LLS:

`--force_determined`: this causes LLS to find multiple solutions only if those solutions differ in generation 0.
`--filter_glider <x> <y>`: this prevents LLS from finding a non-interacting glider at the given (x,y) position, where the "given (x,y) position" is very specifically defined. See filter_glider() in src/SearchPattern.py to see exactly how it works. It is only configured to be useful for certain setups and should not be used unless the user has an understanding of how it works. It would need to be modified to be more generally useful.
`--filters <filter_list_file>`: this prevents LLS from finding solutions matching any of the patterns (given as LLS/JLS input files) listed line-by-line in the given filter list file. This allows the user to filter partial results. For example, with properly constructed JLS state files they could filter all results that contain a glider interacting with a block in the way that is present in crab.

Despite the large number of cases, there isn't likely to be an error in the case analysis, because the "c4d25_base.jdf" searches for any solution that doesn't match one of the various cases, so even if I constructed a case in a way I didn't intend, the "base" search will cover for my mistake.

I intend to increase this result up to 27 cells at least, but I want to see if I can better split the "g1" and "base" searches first.

I also carefully reasoned that there is no way to combine a glider and crab into a pseudo-spaceship. It's not too hard, so I won't repeat it here. The purpose is simply to fill out the pseudo-object section of LifeWiki:Object counts. The smallest known p4 c/4 diagonal pseudo-spaceships are gliders on B29 at 34 cells.

Edit: I separately determined that there are no bilaterally symmetric strict p4 c/4 diagonal spaceships up to 29 cells using only four cases corresponding to the first on cell along the axis of symmetry or next to the axis of symmetry in the case of gutter ships. Unfortunately this type of setup is inherently slower than non-symmetric setup, because it doesn't involve using an overall front-most on cell which would limit the search more. I will have to see if I can find a way to modify the above 25-cell search to work properly for symmetric ships in order to show that the smallest examples are 37 and 50 cells for symmetric and gutter spaceships respectively. The modifications seem nontrivial.

dexter1 · Post by **dexter1** » October 5th, 2025, 11:28 am

AGreason wrote: September 7th, 2025, 2:59 pm The only w10 gutter c/7 ship is two loafers (and "two loafers but they're each flipped the other way"), or technically could also be loafer pushalongs that were not output due to qfind's duplicate row elimination. Attached the last dump (it's a dumpfile, not a .txt, but the forum didn't let me attach it until I slapped an allowed file extension on it). It says zero spaceships found despite the fact that it did find the loafers (multiple times) because I resumed it from dump partway through, after it was done finding the loafers.

Code: Select all

0 spaceships found.
Maximum depth reached: 1058
Longest partial result:

Code: Select all

x = 21, y = 151, rule = B3/S23
7bo5bo$6bobo3bobo$6bobo3bobo$7bo5bo2$4bo3b2ob2o3bo$4bo3b2ob2o3b
o$4bo11bo3$3b3ob2o3b2ob3o$2bo6bobo6bo$7bobobobo$3bo5bobo5bo$6b2o
bobob2o$7bobobobo$6b2obobob2o$6b3o3b3o$6bo7bo$4bobo7bobo$3bo2bo7b
o2bo$3b2o4bobo4b2o$3b3o2b2ob2o2b3o$4bobo7bobo$3b2ob2o5b2ob2o$8bo
3bo$5b3o5b3o$4bo2bobobobo2bo$3bobo3bobo3bobo$3bo3bobobobo3bo$2bo
2b2obo3bob2o2bo$2bo2bo9bo2bo$3bo13bo3$b4ob3o3b3ob4o$bo5b2o3b2o5b
o$b3o2b2o5b2o2b3o$3b2o2bo5bo2b2o$4b2ob2o3b2ob2o$4bo2bo5bo2bo$4b2o
bo5bob2o$6bobo3bobo$4bo11bo$4bo11bo$5b2o7b2o$4b3o7b3o$4b2o2bo3bo
2b2o$3b3obobobobob3o$4bob4ob4obo$4b4obobob4o$4bo3bo3bo3bo$4bo2bo
bobobo2bo$5bob2o3b2obo3$5b3o5b3o$3bo2b3o3b3o2bo$3bo3bobobobo3bo$
2bo3bo7bo3bo$3bobo2bo3bo2bobo$3bo3b2o3b2o3bo$4bo11bo$4bo3bo3bo3b
o$2bo3bobo3bobo3bo$bo17bo$2bo4b2o3b2o4bo$3bo3bobobobo3bo$4b2obob
obobob2o$3bobobobobobobobo$2bo4bobobobo4bo$9bobo$2b2obo2bo3bo2bo
b2o$6b3o3b3o$8bo3bo$5b4o3b4o$5b3o5b3o$4bo11bo$4bo11bo$4b2o9b2o2$
4bobo7bobo$7bo5bo$2b2o3bo5bo3b2o$3bob2o7b2obo$2bob2o9b2obo$6bo7b
o$2b2ob3o5b3ob2o$2b3o2bo5bo2b3o$3bo13bo$2b3obo7bob3o2$6bo7bo$6b2o
5b2o$6b2o5b2o$5bobo5bobo$4b2ob2o3b2ob2o$3bo13bo$4b2ob2o3b2ob2o$4b
o11bo$2bo15bo$2bo15bo$4bo11bo$3b3o9b3o$b2ob2o9b2ob2o$2b2o3bo5bo3b
2o$6bobo3bobo$4bob4ob4obo$4b2obobobobob2o$6b3o3b3o$2bobobo7bobob
o$8b2ob2o$6bo2bobo2bo$3bo2bob2ob2obo2bo2$4bob3o3b3obo$5b5ob5o2$4b
2o2b2ob2o2b2o$3bo2bo2bobo2bo2bo$4bo11bo$6b2o5b2o$2b4o9b4o$bo3bo2b
2ob2o2bo3bo$2b3o3bo3bo3b3o$3b4o7b4o$3b4o7b4o$6b2o5b2o$8bo3bo$2b2o
3b2o3b2o3b2o$2b2obo2bo3bo2bob2o$b3o2b2o5b2o2b3o$b2o2bo2bo3bo2bo2b
2o$3o3bo2bobo2bo3b3o$2o3bo3bobo3bo3b2o$6bo7bo$bo2b3o2bobo2b3o2bo
$b6ob2ob2ob6o$2bo4bobobobo4bo$2bo6bobo6bo$b2o5bo3bo5b2o$b2o3bobo
3bobo3b2o$3b3o2bo3bo2b3o$3b2obobo3bobob2o$4bo11bo$2b2ob2obo3bob2o
b2o$6bobo3bobo$bo6bo3bo6bo$b3o2b2o5b2o2b3o$3o2b3o5b3o2b3o$3ob2ob
2o3b2ob2ob3o!

A useful partial. The top 1/3rd part is a pushalong for 139P7H1V0:

Code: Select all

x = 21, y = 88, rule = B3/S23
7bo5bo$6bobo3bobo$6bobo3bobo$7bo5bo$8bo3bo$8b2ob2o$3b3o2b2ob2o2b3o3$4b
o11bo$3b2o3bo3bo3b2o$3b2ob2obobob2ob2o$9bobo$6b2obobob2o$6b2obobob2o$
9bobo$9bobo$5bo2bo3bo2bo$6bo7bo$6b2o5b2o$3bo13bo$2bo5b2ob2o5bo$8b2ob2o
$6bobo3bobo$3b2ob2o5b2ob2o$4bo3bo3bo3bo$5b3o5b3o$4bo2bo5bo2bo$3bo2bo2b
obo2bo2bo$2b2obobobobobobob2o$2b7o3b7o$2b5o7b5o3$2b2o3bo5bo3b2o$b3o2bo
bo3bobo2b3o$o3b2o9b2o3bo$bob2obo7bob2obo2$5bob2o3b2obo$3bo3bo5bo3bo$4b
2ob2o3b2ob2o$4bob2o5b2obo$5bo9bo$4bo11bo$6bo7bo$7bo5bo$7b2o3b2o$3bo5bo
bo5bo$9bobo$3b2o4bobo4b2o$3b2o4bobo4b2o$4b4obobob4o$6b3o3b3o2$4b3o7b3o
$2b6o5b6o$2b7o3b7o$b2o5b2ob2o5b2o3$4b3o7b3o$4b2o2bo3bo2b2o$4b6ob6o$4o
13b4o$2b2o3bo5bo3b2o2$4bo2bo5bo2bo$8bo3bo$4b2obobobobob2o2$8b2ob2o2$6b
9o$6bo7bo$5b2o2bobo2b2o$5bobo5bobo$4bo11bo$5bo9bo$3bo2bobo3bobo2bo$3b
3ob2o3b2ob3o$3bob4o3b4obo3$3b2o3bo3bo3b2o$3b5o5b5o$6bo7bo$3b3o9b3o!

Period1GliderGun · Post by **Period1GliderGun** » October 6th, 2025, 2:50 pm

On the topic of c/7 orthogonal, a taco and a 139P7H1V0 can nudge two (or one) traffic lights:

Code: Select all

x = 29, y = 67, rule = B3/S23
bo25bo$obo23bobo$o2bo21bo2bo$b2o23b2o2$o27bo$bo25bo$2o25b2o$o4bo17bo4b
o$4bobo15bobo$3bo21bo$4b2o17b2o$3bo21bo$4b3o15b3o2$4b2obo13bob2o$4bob
obo11bobobo$6bo2b2o7b2o2bo$5bobo13bobo$7bo13bo$5b2o15b2o$9b2o7b2o$9b2o
bo3bob2o$10bo7bo$11b3ob3o4$8b3o7b3o$8b3o7b3o$8b3o7b3o2$9bo9bo$11bo5bo
$6bo5bo3bo5bo$13bobo$5b2ob3ob2ob2ob3ob2o2$9bo9bo$8bobo7bobo$7bo4b2ob2o
4bo$5b2o3b4ob4o3b2o$5bo3bo9bo3bo$7bo13bo$7bo13bo2$8b5o3b5o$12bo3bo$13b
obo3$10b9o2$9bobo5bobo$8b2o9b2o$8b3o7b3o$8b2o9b2o$7bo2bobo3bobo2bo$6b
2o5bobo5b2o$7bobo2bo3bo2bobo$10b2o5b2o2$7bo2b2o5b2o2bo$7bo2b2o5b2o2bo
$11bo5bo$8b2o9b2o$8bo11bo!

muzik · Post by **muzik** » October 11th, 2025, 2:15 pm

Given the recent crab news: has it been proven that 25P3H1V0.n are the two smallest c/3 orthogonal spaceships? I recall that the smallest 2c/5 was proven, which seems to imply the same would have been done here (since the lower period and population would make things easier), but the wiki mentions no such detail.

Post by **Sokwe** » October 11th, 2025, 3:15 pm

muzik wrote: October 11th, 2025, 2:15 pm Given the recent crab news: has it been proven that 25P3H1V0.n are the two smallest c/3 orthogonal spaceships?

Keith Amling enumerated all p3 c/3 orthogonal spaceships up to 50 cells. There could still be smaller c/3 spaceships with higher periods, but this seems extraordinarily unlikely.

Fully enumerated object counts by number of cells are given on the LifeWiki:Object_counts page.

Edit: in order to further fill out the object counts page, I performed a careful case analysis of 30P5H2V0 to determine that there are exactly two possible pseudo-spaceships that can be constructed from it. Basically, I looked at 30P5H2V0 in each phase and determined which cells could potentially be involved in a pseudo-interaction. In the following pattern state 2 (blue) cells can potentially be involved in a pseudo-interaction, while state 4 (red) cells must be off and cannot be involved in a pseudo-interaction:

Code: Select all

x = 95, y = 35, rule = LifeHistory
67.5D14.5D$27.5D15.5D14.7D12.3DA3D$7.5D14.7D13.3DA3D13.2D3A2D12.2DADA
2D$6.3DA3D12.3D3A2D12.3D3A3D11.3D3A3D10.2DA3DAD$6.2D3A2D12.2DA3DAB12.
2DA3DA2D11.2DA3DA2D6.6DA3DA3D$6.D2AD2A2D7.6D2AD2AB8.6D2AD2A2D7.6D2AD
2A3D4.6D3AD3A2D$.14D6.7DADAD3B5.3DA10D6.3DA3DA4DA2D4.2D3A2DA4DA2D$3DA
2DADADADA2D5.2D3A2DADAD3AB5.2DADA2DAD4AD6.2D3A3D5A2D4.BA2D3A6DAD$2D3A
3DA3B2AB5.2D3A3DA5DB5.DA3DA2DA2DA2D6.D2A2D2AD2AD2A2D4.BA3D4A3DA2D$BA
6DAB.B2AB5.DA2DA7D2AB5.2DAD2A8D6.2DA2DA9D4.BD2AD2A3D.4D$BADA5DB.4B5.
4DA2D4.4B5.3D2A3D12.2DA11D5.D3A4D$B2DADAD14.2DA3D14.2D2AD14.2DA3D13.
2DA5D$BA2DA2D14.DADA2D14.2DA2D14.3D2AD13.3DA2D$BA5D14.D3BD15.5D15.2D
3B14.4D$B2D6$63.5D15.5D$23.5D15.5D14.7D13.3DA3D$3.5D14.7D13.3DA3D13.
2D3A2D13.2DADA2D$2.3DA3D13.2D3A3D11.3D3A3D11.3D3A3D12.DA3DA2D$2.2D3A
2D13.BA3DA2D11.2DA3DA2D11.2DA3DA2D10.3DA3DA6D$.2D2AD2AD13.B2AD2A6D7.
2D2AD2A6D6.3D2AD2A6D6.2D3AD3A6D$14D6.3BDADA7D7.10DA3D5.2DA4DA3DA3D5.
2DA4DA2D3A2D$2DADADADA2DA3D5.B3ADADA2D3A2D6.D4ADA2DADA2D5.2D5A3D3A2D
5.DA6D3A2DAB$B2A3BA3D3A2D5.B5DA3D3A2D6.2DA2DA2DA3DAD5.2D2AD2AD2A2D2AD
5.2DA3D4A3DAB$B2AB.BA6DAB5.B2A7DA2DAD6.8D2ADA2D5.9DA2DA2D5.4D.3D2AD2A
DB$4B.B5DADAB5.4B4.2DA4D12.3D2A3D6.11DA2D12.4D3AD$8.DADA2DB13.3DA2D
15.D2A2D15.3DA2D12.5DA2D$8.2DA2DAB13.2DADAD15.2DA2D15.D2A3D14.2DA3D$
8.5DAB14.D3BD15.5D15.3B2D16.4D$12.2DB!

Pasting the different phases together in ways that the state 2 (blue) cells overlapped shows that there are 4 valid ways to get a pseudo-interaction:

Code: Select all

x = 29, y = 71, rule = LifeHistory
3.5D13.5D$2.3DA3D11.3DA3D$2.2DADA2D11.2DADA2D$2.DA3DA2D9.2DA3DAD$3DA
3DA6D.6DA3DA3D$2D3AD3A11D3AD3A2D$2DA4DA2D3A3D3A2DA4DA2D$DA6D3A2DABA2D
3A6DAD$2DA3D4A3DABA3D4A3DA2D$4D.3D2AD2ADBD2AD2A3D.4D$7.4D3AD3A4D$7.5D
A3DA5D$9.2DA5DA2D$10.4D.4D6$3.5D13.5D$2.3DA3D11.3DA3D$2.2D3A2D11.2D3A
2D$.2D2AD2AD11.D2AD2A2D$14D.14D$2DADADADA2DA5DA2DADADADA2D$B2A3BA3D3A
3D3A3DA3B2AB$B2AB.BA6DABA6DAB.B2AB$4B.B5DADABADA5DB.4B$8.DADA2DB2DADA
D$8.2DA2DABA2DA2D$8.5DABA5D$12.2DB2D8$7.5D5.5D$6.3DA3D3.3DA3D$6.2D3A
2D3.2D3A2D$6.D2AD2A2D.2D2AD2AD$.27D$3DA2DADADADA3DADADADA2DA3D$2D3A3D
A3B2AB2A3BA3D3A2D$BA6DAB.B2AB2AB.BA6DAB$BADA5DB.7B.B5DADAB$B2DADAD15.
DADA2DB$BA2DA2D15.2DA2DAB$BA5D15.5DAB$B2D23.2DB7$7.5D5.5D$6.7D3.7D$5.
3D3A2D3.2D3A3D$5.2DA3DAB3.BA3DA2D$.6D2AD2AB3.B2AD2A6D$.7DADAD5BDADA7D
$2D3A2DADAD3AB3ADADA2D3A2D$2D3A3DA5DB5DA3D3A2D$DA2DA7D2AB2A7DA2DAD$4D
A2D4.7B4.2DA4D$.2DA3D15.3DA2D$.DADA2D15.2DADAD$.D3BD17.D3BD!

However, this only gives two distinct pseudo-spaceships:

Code: Select all

x = 27, y = 31, rule = B3/S23
8bo9bo$7b3o7b3o$6b2ob2o5b2ob2o2$2bo2bobobobo3bobobobo2bo$b3o3bo3b2ob2o
3bo3b3o$o6bo3b2ob2o3bo6bo$obo21bobo$2bobo17bobo$o2bo19bo2bo$o25bo10$4b
o17bo$3b3o15b3o$2b2ob2o13b2ob2o2$bobobobo2bo5bo2bobobobo$2o3bo3b3o3b3o
3bo3b2o$2o3bo6bobo6bo3b2o$10bobobobo$8bobo5bobo$9bo2bobo2bo$12bobo!

Since Keith Amling found that 30P5H2V0 is the only p5 2c/5 orthogonal spaceship up to 31 cells, then the above two spaceships must be the only p5 2c/5 pseudo-spaceships up to 61 cells.

Edit 2: a similar analysis shows that there are exactly two 74-cell p4 c/4 orthogonal pseudo-spaceships:

Code: Select all

x = 240, y = 53, rule = LifeHistory
156.9D$145.8D2.3DA3DA3D2.8D$143.4DA6D.2D3AB3A2D.6DA4D$142.3DA2D4A5D3A
B3A5D4A2DA3D$142.2DA3DA3DA4DA5DA4DA3DA3DA2D$141.3DA2DADA4D2ADA5DAD2A
4DADA2DA3D$140.6DA7DA3DAD.DA3DA7DA6D$140.2D2AD2A2D2ADADA5D.5DADAD2A2D
2AD2A2D$140.2D5A2D5B3D7.3D5B2D5A2D$90.5D45.2D2A5D23.5D2A2D$5D25.5D25.
5D25.5D4.5D36.D2A5D25.5D2AD$2DA2D4.5D16.5D5.6D14.2DA3D2.8D14.D3A2D2.
7D35.3B2D31.2D3B36.3A.3A$2DA2D2.4DA4D14.D3AD3.9D13.B3A2D.6DA4D12.B5D.
3D3A5D100.3A19.3A$DADAD.3DA3DA4D12.2DA7DAD3A3D12.B3A5D4A2DA3D11.DA2DA
4D5A4D99.5A4.A2.A.A2.A4.5A$9DA3D2A4D11.9D2A2D3A3D11.3DA4DA3DA3DA2D11.
3DA5DA3DAD2A2D95.2A.A3.A5.A5.A5.A3.A.2A$.5DAD2A5D2A2D12.2D2ADAD3A3D3A
2D11.3DAD2A4DADA2DA3D10.2D6A4D2ADA4D95.A.2A4.6A3.6A4.2A.A$.D6A2DA6DA
2D11.BA3D5A6DA2D11.DA3DA7DA6D10.5DA3D5AD2A3D92.2A.5A3.A11.A3.5A.2A$.
2D2A6DA3D3A2D11.BA3DA3D2A3DA5D10.5DADAD2A2D2AD2A2D10.6DA5DA4DA2D91.A
4.A5.A13.A5.A4.A$.2D2B6DA3DAD2A2D10.B8D2B2D2AD2A2D13.3D5B2D5A2D14.9DA
4DAD90.A4.A27.A4.A$9.5DA6D22.5DA2D21.5D2A2D21.3DA4DB45.9D40.A29.A$13.
6DAD23.7D22.5D2AD22.4D3AD36.5D4.9D4.5D27.3A33.3A$17.BA2D25.2D2AD25.2D
3B24.6D35.7D2.2D3AD3A2D2.7D$17.BA2D26.4B55.5D32.5D3A3D.5DB5D.3D3A5D$
17.B3D122.4D5A4DA2DADA2DA4D5A4D$142.2D2ADA3DA5DA5DA5DA3DAD2A2D$141.4D
AD2A4D6A3D6A4D2ADA4D$140.3D2AD5A3DA5D.5DA3D5AD2A3D$140.2DA4DA5DA6D.6D
A5DA4DA2D$140.DA4DA9D9.9DA4DAD$106.5D29.B4DA3D23.3DA4DB$16.5D25.5D25.
5D16.5D4.5D29.D3A4D25.4D3AD$7.5D4.2DA2D14.6D5.5D14.8D2.3DA2D15.7D2.2D
3AD29.6D29.6D20.3A33.3A$5.4DA4D2.2DA2D13.9D3.D3AD12.4DA6D.2D3AB12.5D
3A3D.5DB29.5D31.5D29.3A15.3A$3.4DA3DA3D.DADAD12.3D3ADA7DA2D11.3DA2D4A
5D3AB12.4D5A4DA2DAD90.A2.A4.5A13.5A4.A2.A$2.4D2A3DA9D11.3D3A2D2A9D11.
2DA3DA3DA4DA3D11.2D2ADA3DA5DA3D92.A5.A3.A.2A7.2A.A3.A5.A$2.2D2A5D2ADA
5D12.2D3A3D3ADAD2A2D11.3DA2DADA4D2ADA3D10.4DAD2A4D6A2D91.6A4.2A.A9.A.
2A4.6A$.2DA6DA2D6AD11.2DA6D5A3DAB10.6DA7DA3DAD10.3D2AD5A3DA5D96.A3.5A
.2A5.2A.5A3.A$.2D3A3DA6D2A2D10.5DA3D2A3DA3DAB10.2D2AD2A2D2ADADA5D10.
2DA4DA5DA6D97.A5.A4.A3.A4.A5.A$2D2ADA3DA6D2B2D10.2D2AD2A2D2B8DB10.2D
5A2D5B3D13.DA4DA9D108.A4.A.A4.A$6DA5D18.2DA5D22.2D2A5D21.B4DA3D41.5D
31.5D34.A9.A$DA6D22.7D23.D2A5D22.D3A4D42.5D4.5D13.5D4.5D36.3A.3A$2DAB
26.D2A2D25.3B2D25.6D44.D3A2D2.7D11.7D2.2D3AD$2DAB26.4B56.5D45.B5D.3D
3A5D5.5D3A3D.5DB$3DB136.DA2DA4D5A4D5.4D5A4DA2DAD$140.3DA5DA3DAD2A2D3.
2D2ADA3DA5DA3D$140.2D6A4D2ADA4D.4DAD2A4D6A2D$141.5DA3D5AD2A5D2AD5A3DA
5D$141.6DA5DA4DA3DA4DA5DA6D$145.9DA4DADA4DA9D$152.3DA4DB4DA3D$153.4D
3AD3A4D$155.11D$156.9D!

Performing this analysis for p3 c/3 orthogonal spaceships up until the first pseudo-spaceship would be too tedious. If someone wants to confirm the smallest (1,0)c/3 pseudo-spaceship, some automated method should be employed, which could be as simple as pasting every combination of two ships up to a certain population near each other and checking if they form a pseudo-spaceship.

Edit 3: a similar analysis shows that there is exactly one 128-cell p2 c/2 orthogonal pseudo-spaceship:

Code: Select all

x = 194, y = 30, rule = LifeHistory
5.5D13.5D$4.7D11.7D$3.3D3A3D9.3D3A3D$2.3DA3DA3D.5D.3DA3DA3D$.3D2A4DA
11DA4D2A3D$3DADAD2AD2A3D3A3D2AD2ADADA3D$2D2ADA4DAD2AD3AD2ADA4DAD2A2D$
DA4DA3DA4DADA4DA3DA4DAD$B12DA5DA12DB$D2AD4.2D2A9D2A2D4.D2AD$4B5.3B2D
5.2D3B5.4B22.5D13.5D9.5D13.5D$54.7D11.7D7.7D11.7D$53.3D3A3D9.3D3A3D5.
3D3A3D9.3D3A3D24.3A15.3A11.3A15.3A$52.3DA3DA3D.5D.3DA3DA3D3.3DA3DA3D.
5D.3DA3DA3D22.A3.A13.A3.A9.A3.A13.A3.A$51.3D2A4DA11DA4D2A3D.3D2A4DA
11DA4D2A3D20.2A4.A11.A4.2A7.2A4.A11.A4.2A$50.3DADAD2AD2A3D3A3D2AD2ADA
DA5DADAD2AD2A3D3A3D2AD2ADADA3D18.A.A.2A.2A3.3A3.2A.2A.A.A5.A.A.2A.2A
3.3A3.2A.2A.A.A$50.2D2ADA4DAD2AD3AD2ADA4DAD2A3D2ADA4DAD2AD3AD2ADA4DAD
2A2D17.2A.A4.A.2A.3A.2A.A4.A.2A3.2A.A4.A.2A.3A.2A.A4.A.2A$50.DA4DA3DA
4DADA4DA3DA4DADA4DA3DA4DADA4DA3DA4DAD16.A4.A3.A4.A.A4.A3.A4.A.A4.A3.A
4.A.A4.A3.A4.A$50.B12DA5DA12DB12DA5DA12DB28.A5.A25.A5.A$50.D2AD4.2D2A
9D2A2D4.D2AD2AD4.2D2A9D2A2D4.D2AD16.2A7.2A9.2A7.2A.2A7.2A9.2A7.2A$5.
5D13.5D22.4B5.3B2D5.2D3B5.7B5.3B2D5.2D3B5.4B$3.4DA3D11.3DA4D$3.3D3A4D
7.4D3A3D$.3D2AD3A13D3AD2A3D$5DA2DAD2A4DA4D2ADA2DA5D$2D2ADA4DADAD2AD2A
DADA4DAD2A2D$2D2ADADA2DADA7DADA2DADAD2A2D$2DA8D3ADADAD3A8DA2D$D2A7D2A
3B3D3B2A7D2AD$3B2D4.4B7.4B4.2D3B!

Edit 4: Here is the analysis of the glider, crab, and wings:

Code: Select all

x = 35, y = 115, rule = LifeHistory
2D2B2D5.D4B$2D2A2D5.2D2AD$2DADAD5.D2ADB$2DA3D5.3DAD$5D6.5D5$.5D$.5D5.
5D$.B3AD5.BDA2D$.BA3D5.B2A2D$.2DA2D5.BADAD$.4D6.BDB2D15$28.5D$8.2D3B
15.5D$8.2D2A2D14.B3AD$8.D2A5D12.BA5D$8.3DA4D12.2DA4D$8.5D2AD12.4D2AB$
10.2DA3D13.4DAB$9.7D5.5D2.6DB$.2D3B2.3DA2DAD5.5D2.2D2A2D$.2D2A5D2A4D
5.B3AD.3D2A2D$.D2A5DA5D6.BA6DADA2D$.3DA4DADA2D7.2DA4D2A4D$.5D2A2DA2D
8.4D4ADA2D$4.2D2A5D10.3D2A4D$4.2D2B2D14.2D2B3D7$8.5D14.2D2B2D$8.2DA2D
14.2D2A2D$8.B2A2D14.2DADA2D$8.BADA3D12.2DA5D$8.B6D12.5DA2D$9.3D2AB15.
2D2AB$9.3D2AB14.3D2AB$.5D2.7D5.2D2B2D.4D2A2D$.2DA2D.3D2A3D5.2D2A6D2A
3D$.B2A5DA2DAD6.2DADA3D2A2DA2D$.BADA3D2ADA2D6.2DA5D3A3D$.B4DA7D6.5DA
7D$2.3DA6D11.2D2A5D$3.2DA2DA2D12.2D3B$3.7D15$28.5D$8.2D3B15.5D$8.2D2A
2D14.B3AD$8.D2A3D14.BA5D$8.3DA4D12.2DA4D$8.5DA2D12.4D2AD$9.3DADAD13.
2D2A2D$9.2D2A3D5.5D2.7D$.2D3B2.3D2A2D6.5D2.2DA4D$.2D2A5DAD2AD6.B3A5DA
2DAD$.D2A6D3ABD6.BA7DA4D$.3DA2D2ADADAB7.2DA2D5ADA2D$.5D2A5DB7.4DA8D$
4.2D2A5D10.3D2A5D$4.2D2B2D14.2D3B7$8.5D14.2D2B2D$8.2DA2D14.2D2A2D$8.B
2A2D14.2DADA2D$8.BADA3D12.2DA5D$8.B6D12.5DA2D$9.3D2AB14.2DADAB$9.2D3A
B14.2DADAB$.5D2.3DA3D5.2D2B2D.4DA2DB$.2DA11D5.2D2A7DA2D$.B2A5D3A2D6.
2DADA3D4A2D$.BADA2D2ADA3D6.2DA3DA7D$.B4D6A2D6.5D2A4DA2D$2.3DA3DA3B10.
2DA3DA3D$4.2DA4D12.9D$4.4D!

These cannot be used to build any pseudo-spaceships up to 32 cells. I'm currently working on confirming that the glider, crab, and wings are the only p4 c/4 diagonal spaceships up to 27 cells, which I hope will be finished in the next day or two. It's likely that the smallest possible (1,1)c/4 pseudo spaceships are the two variants of B29 on glider, but showing that would require enumerating (1,1)c/4 spaceships up to 29 cells, which I don't intend to do any time soon.

Edit 5 (2 Nov. 2025): Since Amling recently confirmed that 30P5H2V0 and 34P5H2V0 are the only p5 2c/5 orthogonal spaceships up to 35 cells, I completed the pseudo spaceship analysis for 34P5H2V0 and found (completely unsurprisingly) that there is exactly one 64-cell pseudo spaceship, which completes the pseudo spaceship list for this type of spaceship up to 65 cells. Since it's unknown whether any p5 2c/5 orthogonal spaceships exist with 36 or 37 cells, I can't rule out pseudo spaceships with 66 or 67 cells, but I at least know that only two pseudo spaceships can be formed from two copies of 34P5H2V0, both with 68 cells.

Code: Select all

x = 264, y = 96, rule = LifeHistory
67.5D14.5D$27.5D15.5D14.7D12.3DA3D$7.5D14.7D13.3DA3D13.2D3A2D12.2DADA
2D$6.3DA3D12.3D3A2D12.3D3A3D11.3D3A3D10.2DA3DAD$6.2D3A2D12.2DA3DAB12.
2DA3DA2D11.2DA3DA2D6.6DA3DA3D$6.D2AD2A2D7.6D2AD2AB8.6D2AD2A2D7.6D2AD
2A3D4.6D3AD3A2D$.14D6.7DADAD3B5.3DA10D6.3DA3DA4DA2D4.2D3A2DA4DA2D$3DA
2DADADADA2D5.2D3A2DADAD3AB5.2DADA2DAD4AD6.2D3A3D5A2D4.BA2D3A6DAD$2D3A
3DA3B2AB5.2D3A3DA5DB5.DA3DA2DA2DA2D6.D2A2D2AD2AD2A2D4.BA3D4A3DA2D$BA
6DAB.B2AB5.DA2DA7D2AB5.2DAD2A8D6.2DA2DA9D4.BD2AD2A3D.4D$BADA5DB.4B5.
4DA2D4.4B5.3D2A3D12.2DA11D5.D3A4D$B2DADAD14.2DA3D14.2D2AD14.2DA3D13.
2DA5D$BA2DA2D14.DADA2D14.2DA2D14.3D2AD13.3DA2D95.5D5.5D$BA5D14.D3BD
15.5D15.2D3B14.4D95.3DA3D3.3DA3D$B2D176.2D3A2D3.2D3A2D$172.5D.2D2AD2A
2D.2D2AD2AD$170.4DA26D$170.3D3A3DADADADA3DADADADA2DA3D$170.B2AD4A3DA
3B2AB2A3BA3D3A2D$170.BA5DA3DAB.B2AB2AB.BA6DAB$63.5D15.5D82.12DB.7B.B
5DADAB$23.5D15.5D14.7D13.3DA3D81.2D3A2DA2D15.DADA2DB$3.5D14.7D13.3DA
3D13.2D3A2D13.2DADA2D82.2D2A3DAD15.2DA2DAB$2.3DA3D13.2D3A3D11.3D3A3D
11.3D3A3D12.DA3DA2D81.2D2B4DB15.5DAB40.A9.A$2.2D3A2D13.BA3DA2D11.2DA
3DA2D11.2DA3DA2D10.3DA3DA6D105.2DB39.3A7.3A$.2D2AD2AD13.B2AD2A6D7.2D
2AD2A6D6.3D2AD2A6D6.2D3AD3A6D145.A3.A5.A3.A$14D6.3BDADA7D7.10DA3D5.2D
A4DA3DA3D5.2DA4DA2D3A2D139.A5.2A.2A5.2A.2A$2DADADADA2DA3D5.B3ADADA2D
3A2D6.D4ADA2DADA2D5.2D5A3D3A2D5.DA6D3A2DAB138.2A23.A$B2A3BA3D3A2D5.B
5DA3D3A2D6.2DA2DA2DA3DAD5.2D2AD2AD2A2D2AD5.2DA3D4A3DAB136.2A.A5.A.4A
3.4A.A2.A.A$B2AB.BA6DAB5.B2A7DA2DAD6.8D2ADA2D5.9DA2DA2D5.4D.3D2AD2ADB
138.A2.3A2.A2.A5.A2.A2.A3.A$4B.B5DADAB5.4B4.2DA4D12.3D2A3D6.11DA2D12.
4D3AD141.3A17.2A.A$8.DADA2DB13.3DA2D15.D2A2D15.3DA2D12.5DA2D85.5D5.5D
39.A22.2A$8.2DA2DAB13.2DADAD15.2DA2D15.D2A3D14.2DA3D84.7D3.7D35.2A.A
22.2A$8.5DAB14.D3BD15.5D15.3B2D16.4D84.3D3A2D3.2D3A3D61.A$12.2DB157.
5D.2DA3DAB3.BA3DA2D$171.6D.2D2AD2AB3.B2AD2A6D$170.3D3A5DADAD5BDADA7D$
170.2DA7DADAD3AB3ADADA2D3A2D$170.B2A4D2A2DA5DB5DA3D3A2D$170.B2A2DADA
7D2AB2A7DA2DAD$170.2D2A6D4.7B4.2DA4D$170.2DADA3D17.3DA2D$170.2DADA2D
18.2DADAD$170.3DB3D19.D3BD41.A9.A$241.3A7.3A$240.A3.A5.A3.A$234.A5.2A
.2A5.2A.2A5.A$233.2A25.2A$231.2A.A5.A.4A3.4A.A5.A.2A$233.A2.3A2.A2.A
5.A2.A2.3A2.A$236.3A17.3A$180.5D5.5D39.A25.A$122.5D52.7D3.7D35.2A.A
25.A.2A$32.5D25.5D25.5D24.7D50.3D3A2D3.2D3A3D$2.5D24.7D23.3DA3D23.3DA
3D23.2D3A3D43.5D.2DA3DAB3.BA3DA2D.5D$.3DA3D23.2D3A2D23.2DADA2D23.2D3A
2D23.BA3DA2D.5D36.6D.2D2AD2AB3.B2AD2A2D.6D$.2D3A2D22.3D3A3D22.DA3DAD
2.5D15.2D2AD2A2D.5D16.B2AD2A2D.6D34.3D3A5DADAD5BDADA5D3A3D$.DA3DAB3.
4D15.2DA3DA2D.2D2B2D13.3DA3DA9D13.13DA4D12.3BDADA5D3A3D33.2DA7DADAD3A
B3ADADA7DA2D$2D2AD2AB2.2DA3D13.3D2AD2A5D2A3D12.2D3AD3A3D3A3D12.2DADAD
ADA3D3A3D12.B3ADADA7DA2D33.B2A4D2A2DA5DB5DA2D2A4D2AB$12D2A3D12.2DA4DA
4D2ADA2D12.2DA4DA3DA3DA2D12.B2A3BA3D4AD2AB12.B5DA2D2A4D2AB33.B2A2DADA
7D2AB2A7DADA2D2AB$D4ADA5DAD2AD12.2D5A3DAD2ADA2D12.DA6D3A4D2AD12.B2AB.
BA3DA5DAB12.B2A7DADA2D2AB33.2D2A6D4.7B4.6D2A2D$2DA2DA2D3A2DA3D12.2D2A
D2AD2AD2AD2A2D12.2DA3D4A4D2A2D12.4B.B12D12.4B4.6D2A2D33.2DADA3D19.3DA
DA2D$8D3A6D12.9DAD2A5D12.4D.3D2A4D2AD21.2DA2D3A2D22.3DADA2D33.2DADA2D
21.2DADA2D$7.5DA4D13.9DADADA2D18.5DADA4D21.DA3D2A2D24.2DADA2D33.3DB3D
21.3DB3D30.A23.A$8.4DAD2AD20.6DA2D20.6DA3D21.B4D2B2D24.3DB3D97.3A21.
3A$10.3D4B24.5D23.5D159.A3.A19.A3.A$233.2A.2A5.A7.A5.2A.2A$243.2A5.2A
$232.4A.A5.A.2A.2A.A5.A.4A$233.A2.A2.3A2.A5.A2.3A2.A2.A$239.3A11.3A$
173.5D19.5D41.A7.A$172.7D17.7D40.A.2A.2A.A$172.2D3A3D15.3D3A2D$172.BA
3DA2D.5D3.5D.2DA3DAB$172.B2AD2A2D.6D.6D.2D2AD2AB$170.3BDADA5D3A5D3A5D
ADAD3B$170.B3ADADA7DA3DA7DADAD3AB$170.B5DA2D2A4D2AB2A4D2A2DA5DB$170.B
2A7DADA2D2AB2A2DADA7D2AB$170.4B4.6D2A3D2A6D4.4B$180.3DADA3DADA3D$130.
5D46.2DADA3DADA2D$40.5D25.5D25.5D24.7D45.3DB5DB3D$10.5D24.7D23.3DA3D
23.3DA3D22.3D3A2D$9.3DA3D23.2D3A2D23.2DADA2D23.2D3A2D16.5D.2DA3DAB$9.
2D3A2D22.3D3A3D15.5D2.DA3DAD16.5D.2D2AD2A2D14.6D.2D2AD2AB$2.4D3.BA3DA
D15.2D2B2D.2DA3DA2D14.9DA3DA3D12.4DA13D12.3D3A5DADAD3B$.3DA2D2.B2AD2A
2D13.3D2A5D2AD2A3D12.3D3A3D3AD3A2D12.3D3A3DADADADA2D12.2DA7DADAD3AB$
3D2A12D13.2DAD2A4DA4DA2D12.2DA3DA3DA4DA2D12.B2AD4A3DA3B2AB12.B2A4D2A
2DA5DB$D2ADA5DAD4AD13.2DAD2ADA3D5A2D12.D2A4D3A6DAD12.BA5DA3DAB.B2AB
12.B2A2DADA7D2AB$3DA2D3A2DA2DA2D13.2D2AD2AD2AD2AD2A2D12.2D2A4D4A3DA2D
12.12DB.4B12.2D2A6D4.4B$6D3A8D13.5D2ADA9D13.D2A4D2A3D.4D12.2D3A2DA2D
20.2DADA3D$4DA5D21.2DADADA9D14.4DADA5D18.2D2A3DAD20.2DADA2D$D2ADA4D
22.2DA6D21.3DA6D20.2D2B4DB20.3DB3D$4B3D24.5D27.5D!

Post by **Sokwe** » October 13th, 2025, 5:55 pm

Sokwe wrote: October 5th, 2025, 5:38 am I used a modification of LLS to find all non-glider period-4 c/4 diagonal spaceships up to 25 cells.

I extended this up to 27 cells, with the only spaceships being the glider, crab, and wings. I generally used the same pieces as in the 25-cell search, although I split the pieces that took the longest down a bit further.

Here are the JLS status files and filter files needed for the setup, as well as the output files from the completed search:

c4d27.zip: (242.51 KiB) Downloaded 47 times

Note that the setup .jdf files still have "c4d25" in the filename, because I generally reused the unmodified files from the 25-cell search. The notable exception is the "t5" files, in which case their are slightly modified .jdf files with "alt" in the filename. In a 27-cell search, the file "c4d25_t5_0.jdf" will find solutions that meet the unchecked edge. At higher cell counts, this would likely affect the other "t5" files as well. These "solutions" are undesirable, as they are not valid spaceships. The "alt" files simply extend the search area by one row and one column, which is enough in this case to avoid these false solutions.

I made one mistake in constructing the alternate "t5" files, as I changed the cell at (1,39) to OFF, when I should have kept it as UNCHECKED. This resulted in the "g3_0" search finding the same false results that I tried to avoid in the "t5" searches, because the t5_0" filter only filtered out solutions that were ON in all generations at (1,39), but there are invalid "solutions" in "g3_0" where (1,39) is ON. This is remedied by simply running the "g3_0" search again using the original "t5" searches as filters, since the "g3" and "t5" setups already match in all of their border OFF cells. Therefore the "g3_0" search must use the "filters_g3_0.txt" filter file.

Those searches that would find the crab also need to have this result filtered. For this reason there are two files, "c4d25_t1_0_crab.jdf" and "c4d25_t1_2_crab.jdf", which include the cell states necessary to filter a crab from the "t1_0" and "t1_2" searches respectively. These crab filters are constructed such that they will only remove a crab that cannot interact with anything nearby, so it wont miss a potential spaceship consisting of a crab and a 1 or 2 cell tagalong. The "t1_0" and "t1_2" searches then need to be run with the "filters_t1_0.txt" and "filters_t1_2.txt" filter files.

I included the output files in the above .zip archive in case anyone wants to extend this result further using more computer resources. If you do so, it might make sense to further split the longest searches. The idea would then be to make sure you run all the longest searches first (and simultaneously with sufficient computer resources), then start running shorter searches as the longer ones finish and CPUs get freed up. I do not intend to extend this result any further, at least for now.

Sokwe wrote: October 11th, 2025, 3:15 pm Here is the [pseudo-spaceship connectability] analysis of the glider, crab, and wings...
These cannot be used to build any pseudo-spaceships up to 32 cells.

The above searches confirm that no p4 c/4 diagonal pseudo-spaceships exist up to 32 cells.

I also had been running a single LLS search to double-check that the glider is the only p4 c/4 diagonal spaceship up to 24 cells. The search just finished after about 11 days, finding no spaceships other than the glider.

dexter1 · Post by **dexter1** » December 6th, 2025, 8:53 am

I found a new c/5 orthogonal ship using ikpx2. Width 29 (27 in two generations).
I started out with this head partial:

Code: Select all

x = 19, y = 31, rule = B3/S23
7b2ob2o$4b2obo3bob2o$4b2obobobob2o$7bo3bo$7bo3bo$3ob4obob4ob3o$o7bobo
7bo$9bo$o4bo7bo4bo$4o2bo5bo2b4o$2b2o2b2o3b2o2b2o$5b3o3b3o$2b2o2bo5bo2b
2o$3b3o7b3o$3bo2bo5bo2bo$5b3obob3o$5bob2ob2obo$3b3ob2ob2ob3o$3b2o9b2o$
5bo7bo$3b3o7b3o$4bob7obo$3b2o4bo4b2o$5b2o5b2o$3obobo5bobob3o$3o2b3o3b
3o2b3o$2o2bo2bo3bo2bo2b2o$o3b3o5b3o3bo$bo6b3o6bo$2bo4bobobo4bo$4bo2bob
obo2bo!

... and ended up with:

Code: Select all

x = 29, y = 128, rule = B3/S23
12b2ob2o$9b2obo3bob2o$9b2obobobob2o$12bo3bo$12bo3bo$5b3ob4obob4ob3o$5b
o7bobo7bo$14bo$5bo4bo7bo4bo$5b4o2bo5bo2b4o$7b2o2b2o3b2o2b2o$10b3o3b3o$
7b2o2bo5bo2b2o$7bo3bo5bo3bo$b2ob4o3bo5bo3b4ob2o$o3b4o4b2ob2o4b4o3bo$bo
2b3o2bob3ob3obo2b3o2bo$2b3o2b2ob2o5b2ob2o2b3o$4b3obo11bob3o$4bo2bo13bo
2bo$3bo2bo2bo9bo2bo2bo$5b6o7b6o$b2o3bo4b2o3b2o4bo3b2o$o3b2o2bo4bobo4bo
2b2o3bo$bo3b4o4bobo4b4o3bo$11bobobobo$10bob2ob2obo$7bobo9bobo$4b3obo
11bob3o$4b2o17b2o2$4b3ob5o3b5ob3o$4b2ob3o2bo3bo2b3ob2o$4b2obo13bob2o$
10bobo3bobo$2b2ob2o2bo3bobo3bo2b2ob2o$3bobo6bo3bo6bobo$8bo3bo3bo3bo$8b
o11bo$7b2o3bo3bo3b2o$6b2o2bobo3bobo2b2o$6b2o3bobobobo3b2o$6b2o5bobo5b
2o$4bobo3bo2bobo2bo3bobo$3bo2b2ob2o7b2ob2o2bo$2bo4bo2bo7bo2bo4bo$2bo4b
o2b2o5b2o2bo4bo$4bo2bo3b2o3b2o3bo2bo$4bob2o2bo2bobo2bo2b2obo$6bo6bobo
6bo$5bo4b3o3b3o4bo$9bo9bo$8bo11bo$4b2obob2o7b2obob2o$4b2obo3b3ob3o3bob
2o$4bo2bob2ob2ob2ob2obo2bo$6bo2b2o7b2o2bo$5bob3o9b3obo$8b2o9b2o$4b2ob
2o11b2ob2o2$5bo17bo$5bo17bo$4bo3b2o9b2o3bo$5bobo2b2o5b2o2bobo$6b2obobo
5bobob2o$9bob2o3b2obo$6bo4bo5bo4bo$6bo4bobobobo4bo$7bob2o7b2obo$8bob2o
5b2obo$7bob2o2b3o2b2obo$5bobo5b3o5bobo$5bo3b2o3bo3b2o3bo$7b4o7b4o2$10b
obo3bobo$13bobo$11bo5bo$11bo5bo$12b2ob2o$10b2obobob2o$8bo2b2o3b2o2bo$
8bo4bobo4bo$8bobo7bobo$6bo2bob2o3b2obo2bo$5bo5bo5bo5bo$6bo5bo3bo5bo$9b
5ob5o$10bo2bobo2bo$9bo2b2ob2o2bo$9bo4bo4bo$7b2o11b2o$7b2o11b2o$7b2o5bo
5b2o$10bo7bo$10b2o5b2o2$7b4o7b4o$7b3o9b3o$10bo7bo2$7b3obo5bob3o$7b4o7b
4o$8bo11bo$8bo11bo$7b2ob2o5b2ob2o$8bob2o5b2obo3$9b3o5b3o$9b3o5b3o$10b
3o3b3o$12bo3bo$12bo3bo3$12b5o$12bobobo$12b2ob2o$12b2ob2o2$9b3o5b3o$11b
o5bo$8bo3bo3bo3bo$8bo4bobo4bo$8bo11bo$8b5o3b5o!

BTW, What i usually do is to guess the number of rows i want to preserve from the top of the head (using the '-m #' option), run it for a couple of days, and restart it, so it will continue with smaller widths and hopefully tapers off.
This seems to be the quickest way of finding unique ships in ikpx2 for a ship-rich speed like c/5 orthogonal.

Aleph · Post by **Aleph** » December 7th, 2025, 6:26 pm

C_R_116 posted this almost-minstrel on Discord.

Code: Select all

x = 95, y = 41, rule = B3/S23
86b4o$84bob2ob2o$86b2o2b2obo$87bob2o2b2o$86b2ob2obobo$84b2o2bobobo$83b
3o4b2o$91b2o$77b2o11b2o$64bo10b5ob2o2b3ob2o$64bo4b2o4bo5b4ob2o3bo$62bo
b7o3bo3bobobob2obo3bo$61b4obobo6b3obobo6bobo$64bo4bo4bo2bo2bo2bo$74b2o
b2obobo4b2o$60bo6bo6b3o3bob2o$37bo3bo18bo3b2ob2o9bo3bo$35b3o3b2o8b2o7b
2o3b2obo4bo2bo3bo$36b2o6b2o3b2ob2obo3b3obo4b3ob2obo4bo$36b2o2b2o4bob4o
bobob3o2b3o3b2o2b2obo$29b3o4bo2bo4bob2o7bobobo8b2o$22bobo2b2o7bo2b2o3b
obo3bo2b2o2bo4bo6b2o$21bo4b2o3b2o6b2o3bo3bob4o2b2o3b2o$18bo5b3o4b2o3bo
bo2bobo5b2ob2o3bo3b2o$16b4o3b2o7b4ob2o3bo7b2o3b4o$19bo5b2ob2ob2o3bo13b
obo2b3o$8bo11b3o2bo3bo2bo16bob3o$8b2obo9bo2b6o2b3o19bo$11bob2o10b2o3bo
18bobo$4b2o2b4ob2o7bo2bobobo20bo$6bobo4bo2b3o$2b3o7b2o3bo$4bo7b4obo$2b
3o9b3o3$2bo$obo$obo2$o!

Unfortunately, Sir Robin doesn't fit in the space, and I couldn't get any of the minstrels to fit either.

Code: Select all

x = 117, y = 55, rule = B3/S23
108b4o$106bob2ob2o$108b2o2b2obo$109bob2o2b2o$108b2ob2obobo$106b2o2bob
obo$105b3o4b2o$113b2o$99b2o11b2o$86bo10b5ob2o2b3ob2o$86bo4b2o4bo5b4ob
2o3bo$84bob7o3bo3bobobob2obo3bo$83b4obobo6b3obobo6bobo$86bo4bo4bo2bo2b
o2bo$96b2ob2obobo4b2o$82bo6bo6b3o3bob2o$59bo3bo18bo3b2ob2o9bo3bo$57b3o
3b2o8b2o7b2o3b2obo4bo2bo3bo$58b2o6b2o3b2ob2obo3b3obo4b3ob2obo4bo$58b2o
2b2o4bob4obobob3o2b3o3b2o2b2obo$51b3o4bo2bo4bob2o7bobobo8b2o$44bobo2b
2o7bo2b2o3bobo3bo2b2o2bo4bo6b2o$43bo4b2o3b2o6b2o3bo3bob4o2b2o3b2o$40b
o5b3o4b2o3bobo2bobo5b2ob2o3bo3b2o$38b4o3b2o7b4ob2o3bo5bob2o3b4o$41bo5b
2ob2ob2o3bo10bo2bobo2b3o$30bo11b3o2bo3bo2bo12bo3bob3o$30b2obo9bo2b6o2b
3o10bo3bo2bobo$33bob2o10b2o3bo18bobo2b3o$26b2o2b4ob2o7bo2bobobo17bob3o
4bo$28bobo4bo2b3o27bo3bo2bo$24b3o7b2o3bo28bo6bobo$26bo7b4obo28bo6b2o$
24b3o9b3o$48bo11b4obo4b2ob2o$47bobo4b2obob2o2b3ob2ob2ob2o$24bo27b2o6b
obobo3bo4b2o$22bobo20b2o2b2obo6bobo4bo5b3o$22bobo21bob3obo5bo5bo7bo$45b
2o2b2o3bo3b2ob4obobo2b2o$22bo22b3o3bo10bobob2o$20bo24bob3obo6bo2bo$20b
o3b3o8bo9b2o3bo2bo3bo5b3o$20bo5b3o5bob2obo4bo2bo5bo3b4o$21bobob2ob2o3b
2o3b2o2b2o3bo5bo3bo$12bobo6b2o2bo2bob2obo5bob2o4bo5bobo$7b2o2bo2b2o5b
2o2b2obobob2o4bo2bo11b2o$6b3o2bo2b2o5b2o2b2obo3b2o2b2o3bobob2o$bo3b4o
bob2o3bob2obo2b3o2bo3bobo4bobob2o$bob3o5b3o2bo4bo13bo4b2o$o3bo4b2obo3b
o2bobo11bo4bobo$5bo3bo6b2o14bo2bobo$5b2o4b3o3b2o15b2o2b2o$6b3obo3bo18b
3o$6bo3bob2o!

Post by **Sokwe** » December 8th, 2025, 6:09 am

Here are some results from spaceship searches of a particular single-phase height. These results of these searches give a complete characterization of spaceships of the given single-phase height. All searches were performed with JLS unless otherwise stated.

(1,0)c/2 height 7: 0 ships (examples exist at height 8).

(1,0)c/3 height 4: 0 ships.

(1,0)c/3 height 5 (WLS 0.63): infinitely many ships. There are three basic spaceships at this height, as well as an infinite family obtained by extending the largest of these basic spaceships using a repeatable component:

Code: Select all

x = 100, y = 45, rule = B3/S23
6b3ob2obo$2bob2o4b2ob2o$b3o3bo2bobo2bo$o3bo3bo5bo$bo6$6b4o7bo$2bob2obo
bo5b3ob3ob2o$b3o4bo2b2ob2o2bo4b2o$o3bo6b2o2bo3b2obo2bo$bo11bo6$6b4o17b
3o7b3o17b4o$2bob2obobo6bo2b3o4bo13bo4b3o2bo6bobob2obo$b3o4bo2b3obobo3b
o2b3o4bo3bo4b3o2bo3bobob3o2bo4b3o$o3bo6bo3bobo5b2obob5ob5obob2o5bobo3b
o6bo3bo$bo10b2o3bob2o8bo2bobo2bo8b2obo3b2o10bo16$6b4o28b3o7b3o39b4o$2b
ob2obobo6bo2b3o5bo2b3o4bo13bo4b3o2bo5b3o2bo5b3o2bo6bobob2obo$b3o4bo2b
3obobo3b4obobo3bo2b3o4bo3bo4b3o2bo3bobob4o3bobob4o3bobob3o2bo4b3o$o3bo
6bo3bobo8bobo5b2obob5ob5obob2o5bobo8bobo8bobo3bo6bo3bo$bo10b2o3bob2ob
3o3bob2o8bo2bobo2bo8b2obo3b3ob2obo3b3ob2obo3b2o10bo!

(1,0)c/3 strict even-symmetric height 6: 0 ships

(1,0)c/4 height 6: 0 ships (an example exists at height 7).

(2,0)c/4 height 5: 1 ship (LWSS).

(1,0)c/5 height 6: 0 ships (examples exist at height 7).

(2,0)c/5 height 8 (WLS 0.71): 0 ships (examples exist at height 9). This is an old result that I did not check again. I'm simply mentioning it here to have a record of all these search results in one place.

Edit: this 41-cell 2c/4 ship might already be known, but I don't have it in my records. I'm posting it here so I don't forget about it.

Code: Select all

x = 20, y = 8, rule = B3/S23
7b3o5b3o$3o4bo2bo4bo2bo$o2bo2bo2b2o4bo$o5b3ob2o3bo3bo$o3bo10bo3bo$o10b
2o2bo$bobo4bo7bobo$8bo!

Edit: I doubt a (2,0)c/4 height-6 odd non-gutter ship exists, although I haven't run the search yet. Here is a height-7 example:

Code: Select all

x = 35, y = 7, rule = B3/S23
11b3o7b3o$5bo4bo2bo7bo2bo4bo$4b3o3bo3bo5bo3bo3b3o$3b2obo3bo2b9o2bo3bob
2o$3b3o4bo4b5o4bo4b3o$3b3o3b3o5bo5b3o3b3o$4b2o3b2o13b2o3b2o!

C_R_116 · Post by **C_R_116** » December 9th, 2025, 2:19 am

Another 1-cell off minstrel partial:

Code: Select all

x = 46, y = 101, rule = B3/S23
4b2o$4bo2bo$4bo3bo$6b3o$2b2o6b4o$2bob2o4b4o$bo4bo6b3o$2b4o4b2o3bo$o9b
2o$bo3bo$6b3o2b2o2bo$2b2o7bo4bo$13bob2o$10b2o6bo$11b2ob3obo$10b2o3bo2b
o$10bobo2b2o$10bo2bobobo$10b3o6bo$11bobobo3bo$14b2obobo$11bo6b3o2$11bo
9bo$11bo3bo6bo$12bo5b5o$12b3o$16b2o$13b3o2bo$11bob3obo$10bo3bo2bo$11bo
4b2ob3o$13b4obo4b2o$13bob4o4b2o$19bo$20bo2b2o$20b2o$21b5o$25b2o$19b3o
6bo$20bobo3bobo$19bo3bo3bo$19bo3b2o$18bo6bob3o$19b2o3bo3b2o$20b4o2bo2b
o$22b2o3bo$21bo$21b2obo$20bo$19b5o$19bo4bo$18b3ob3o$18bob5o$18bo$20bo$
16bo4b4o$20b4ob2o$17b3o4bo$24bobo$28bo$24bo2b2o$25b3o$22b2o$21b3o5bo$
24b2o2bobo$21bo2b3obobo$22b2obo2bo$24bobo2b2o$26b2o$22b3o4bo$22b3o4bo$
23b2o3b3o$24b2ob2o$25b2o$25bo2$24b2o4b3o$26bo6b2o$33b2o$30bo$29b2o2bo$
29bo2b2o$28b2o$29bo$28bobo$28bobo$28bobo2$29b3o$33b2o$33b2o$32bo4b2o$
33bo4b2o$38b2o$39bob5o$40bob4o2$40bo$40bo$39bo!

Post by **Sokwe** » December 9th, 2025, 5:43 am

Here are some complete censuses for spaceships of particular single-phase widths. Searches that found 0 ships were performed with WLS 0.71, while all other were performed with WLS 0.63 (Nicolay Beluchenko's version). All of the ships in these censuses were known previously.

(1,0)c/2 width 20: 0 ships.
(1,0)c/2 even-symmetric width 26: 0 ships.

(1,0)c/3 width 9: 0 ships.
(1,0)c/3 odd-symmetric width 15: 1 ship (dart).
(1,0)c/3 even-symmetric width 12: 1 width-10 ship (turtle); 0 width-12 ships.
(1,0)c/3 gutter-symmetric width 17: 1 ship (brain).

(1,0)c/4 width 8: 0 ships.
(1,0)c/4 odd-symmetric width 11: 9 ships:

Code: Select all

x = 55, y = 171, rule = B3/S23
10b2obo$6b3obob3o$2bobo10bo3b2o$2o4b2o5bo3b4o$2bob2o2bo4b3obo$8bo4bo$
2bob2o2bo4b3obo$2o4b2o5bo3b4o$2bobo10bo3b2o$6b3obob3o$10b2obo10$10b2ob
o12b2o$6b3obob3o8bob3o$2bobo10bo3b2obo4bo$2o4b2o5bo3b4obo3b2o$2bob2o2b
o4b3obo5b4obo$8bo4bo13b3o$2bob2o2bo4b3obo5b4obo$2o4b2o5bo3b4obo3b2o$2b
obo10bo3b2obo4bo$6b3obob3o8bob3o$10b2obo12b2o10$10b2obo15bo$6b3obob3o
8bo4bo3b2o$2bobo10bo3b2obobo3bo3b2o$2o4b2o5bo3b4obo3bo7b2obo$2bob2o2bo
4b3obo5b12obo$8bo4bo$2bob2o2bo4b3obo5b12obo$2o4b2o5bo3b4obo3bo7b2obo$
2bobo10bo3b2obobo3bo3b2o$6b3obob3o8bo4bo3b2o$10b2obo15bo10$10b2obo15bo
$6b3obob3o8bo4bo3b2o$2bobo10bo3b2obobo3bo3b2o$2o4b2o5bo3b4obo3bo7b2obo
b2o$2bob2o2bo4b3obo5b12obo2b3obo$8bo4bo27bobo$2bob2o2bo4b3obo5b12obo2b
3obo$2o4b2o5bo3b4obo3bo7b2obob2o$2bobo10bo3b2obobo3bo3b2o$6b3obob3o8bo
4bo3b2o$10b2obo15bo10$10b2obo12b2o5b2o$6b3obob3o8bob3o3b2o5b2o2b2o$2bo
bo10bo3b2obo4bo5b2o2bo4bo$2o4b2o5bo3b4obo3b2o5bo2bo3bo4b2o$2bob2o2bo4b
3obo5b4obo3bob11obo$8bo4bo13b3o$2bob2o2bo4b3obo5b4obo3bob11obo$2o4b2o
5bo3b4obo3b2o5bo2bo3bo4b2o$2bobo10bo3b2obo4bo5b2o2bo4bo$6b3obob3o8bob
3o3b2o5b2o2b2o$10b2obo12b2o5b2o10$10b2obo12b2o5b2o$6b3obob3o8bob3o3b2o
6bo3b2o$2bobo10bo3b2obo4bo5b2o3b3ob3o$2o4b2o5bo3b4obo3b2o5bobo5bo3b3o$
2bob2o2bo4b3obo5b4obo3bob12obo$8bo4bo13b3o$2bob2o2bo4b3obo5b4obo3bob
12obo$2o4b2o5bo3b4obo3b2o5bobo5bo3b3o$2bobo10bo3b2obo4bo5b2o3b3ob3o$6b
3obob3o8bob3o3b2o6bo3b2o$10b2obo12b2o5b2o10$10b2obo12b2o6b3obo3b2o3bo$
6b3obob3o8bob3o6b2o5b4ob2o$2bobo10bo3b2obo4bo3b2obo3bo2bobo$2o4b2o5bo
3b4obo3b2o3b2o5bo4b2o3b2o$2bob2o2bo4b3obo5b4obo3bob2o3b3ob7o$8bo4bo13b
3o$2bob2o2bo4b3obo5b4obo3bob2o3b3ob7o$2o4b2o5bo3b4obo3b2o3b2o5bo4b2o3b
2o$2bobo10bo3b2obo4bo3b2obo3bo2bobo$6b3obob3o8bob3o6b2o5b4ob2o$10b2obo
12b2o6b3obo3b2o3bo10$10b2obo12b2o5b2o$6b3obob3o8bob3o3b2o5b2o2b2o$2bob
o10bo3b2obo4bo5b2o2bo4bo$2o4b2o5bo3b4obo3b2o5bo2bo3bo4b2ob2obo$2bob2o
2bo4b3obo5b4obo3bob11obob2obo$8bo4bo13b3o23b2o$2bob2o2bo4b3obo5b4obo3b
ob11obob2obo$2o4b2o5bo3b4obo3b2o5bo2bo3bo4b2ob2obo$2bobo10bo3b2obo4bo
5b2o2bo4bo$6b3obob3o8bob3o3b2o5b2o2b2o$10b2obo12b2o5b2o10$10b2obo12b2o
5b2o$6b3obob3o8bob3o3b2o6bo3b2o$2bobo10bo3b2obo4bo5b2o3b3ob3o$2o4b2o5b
o3b4obo3b2o5bobo5bo3b3ob2o$2bob2o2bo4b3obo5b4obo3bob12obob2o2bo$8bo4bo
13b3o23bo$2bob2o2bo4b3obo5b4obo3bob12obob2o2bo$2o4b2o5bo3b4obo3b2o5bob
o5bo3b3ob2o$2bobo10bo3b2obo4bo5b2o3b3ob3o$6b3obob3o8bob3o3b2o6bo3b2o$
10b2obo12b2o5b2o!

(1,0)c/4 even-symmetric width 14: 2 ships:

Code: Select all

x = 43, y = 38, rule = B3/S23
9bo7bo$6b2ob2obo2bobo$o3bo6bob2o8bo$2o2bo3b2o3bobo3bob5o$o3bo2b2o3bob
2o2b2obobo2bo$9b2o3b3o2bo4b3o$5b2o7bobo7bo$5b2o7bobo7bo$9b2o3b3o2bo4b
3o$o3bo2b2o3bob2o2b2obobo2bo$2o2bo3b2o3bobo3bob5o$o3bo6bob2o8bo$6b2ob
2obo2bobo$9bo7bo11$9bo7bo$6b2ob2obo2bobo17bobo$o3bo6bob2o8bo14bo$2o2bo
3b2o3bobo3bob5o7b2obob5o$o3bo2b2o3bob2o2b2obobo2bobo3b2o4b3o$9b2o3b3o
2bo4b3obo$5b2o7bobo7bo4bo3bo$5b2o7bobo7bo4bo3bo$9b2o3b3o2bo4b3obo$o3bo
2b2o3bob2o2b2obobo2bobo3b2o4b3o$2o2bo3b2o3bobo3bob5o7b2obob5o$o3bo6bob
2o8bo14bo$6b2ob2obo2bobo17bobo$9bo7bo!

(1,0)c/4 gutter-symmetric width 15: 0 ships.

(2,0)c/4 width 9: 3 width-4 ships; 1 width-8 ship; 18 width-9 ships:

Code: Select all

x = 230, y = 49, rule = B3/S23
b2o8b2o9b2o$2ob2o5b2ob3o5b2ob4o$b4o6b5o6b6o$2b2o8b3o8b4o17$b2o$2ob3o$b
5o$2b6o$5bo3bo$4bo$4bo4bo$4b5o13$6o6b5o7b6o6b5o8b5o7b6o7b6o7b6o7b5o8b
5o9b2o12b2o11b2o11b2o12b2o11b2o10b2o14b2o$o5bo5bo4bo6bo5bo5bo4bo7bo4bo
6bo5bo6bo5bo6bo5bo6bo4bo7bo4bo7b2ob4o7b2ob3o7b2ob4o6b2ob3o8b2ob2o8b2ob
2o7b2ob4o9b2ob4o$o11bo11bo11bo12bo11bo12bo12bo12bo12bo13b6o8b5o8b6o7b
5o9b4o9b4o8b6o10b6o$bo4bo6bo3bo7bo4bo6bo3bo8bo3bo7bo4bo7bo4bo7bo4bo7bo
3bo8bo3bo9b4o10b3o10b4o9b3o11b2o11b2o10b4o12b4o$16bo24bo38bo25bo22b2o
12b2o11bo12bo13bo12b2o13b2o14bo$bo2bo8bo2bo8bo4bo6bo4bo7bo3bo9bo4bo7bo
3bo8bo2bo9bo4bo7bo3bo6bo4bo8bo4bo7bo3bo8bo3bo9bo3bo8bo4bo9bo4bo10bo3bo
$o11bo11bo11bo12bo13bo12bo12bo12bo12bo10bo13bo12bo12bo13bo12bo14bo15bo
$o3bo7bo3bo7bo5bo5bo5bo6bo4bo8bo5bo6bo4bo7bo3bo8bo5bo6bo4bo5bo5bo7bo5b
o6bo4bo7bo4bo8bo4bo7bo5bo8bo5bo9bo4bo$4o8b4o8b6o6b6o7b5o9b6o7b5o8b4o9b
6o7b5o6b6o8b6o7b5o8b5o9b5o8b6o9b6o10b5o!

(2,0)c/4 odd-symmetric width 13: 2 width-9 ships; 1 width-11 ship; 9 width-13 ships:

Code: Select all

x = 191, y = 53, rule = B3/S23
5o6b6o$o4bo5bo5bo$o10bo$bo3bo6bo4bo2$bo3bo6bo4bo$o10bo$o4bo5bo5bo$5o6b
6o12$2bo$2o$o2b3o2bo$o4b3o$b3o2b2o2$b3o2b2o$o4b3o$o2b3o2bo$2o$2bo10$b
2o7b2o9b2o7b3o9b2o7b4o9b2o8b2o9b2o8b3o9b2o8b4o9b2o9b2o9b2o9b3o9b2o9b4o
$2ob2o4b4o7b2ob2o4b5o7b2ob2o4b6o7b2ob3o4b4o7b2ob3o4b5o7b2ob3o4b6o7b2ob
4o4b4o7b2ob4o4b5o7b2ob4o4b6o$b4o3b2ob2o8b4o3b2ob3o8b4o3b2ob4o8b5o3b2ob
2o8b5o3b2ob3o8b5o3b2ob4o8b6o3b2ob2o8b6o3b2ob3o8b6o3b2ob4o$2b2o5b2o11b
2o5b2o12b2o5b2o13b3o5b2o11b3o5b2o12b3o5b2o13b4o5b2o11b4o5b2o12b4o5b2o$
6bo19bo20bo22bo20bo21bo23bo21bo22bo$6bo19bo20bo22bo20bo21bo23bo21bo22b
o$5bo3bo15bo3bo16bo3bo18bo3bo16bo3bo17bo3bo19bo3bo17bo3bo18bo3bo$6bo
19bo20bo22bo20bo21bo23bo21bo22bo$6bo19bo20bo22bo20bo21bo23bo21bo22bo$
2b2o5b2o11b2o5b2o12b2o5b2o13b3o5b2o11b3o5b2o12b3o5b2o13b4o5b2o11b4o5b
2o12b4o5b2o$b4o3b2ob2o8b4o3b2ob3o8b4o3b2ob4o8b5o3b2ob2o8b5o3b2ob3o8b5o
3b2ob4o8b6o3b2ob2o8b6o3b2ob3o8b6o3b2ob4o$2ob2o4b4o7b2ob2o4b5o7b2ob2o4b
6o7b2ob3o4b4o7b2ob3o4b5o7b2ob3o4b6o7b2ob4o4b4o7b2ob4o4b5o7b2ob4o4b6o$b
2o7b2o9b2o7b3o9b2o7b4o9b2o8b2o9b2o8b3o9b2o8b4o9b2o9b2o9b2o9b3o9b2o9b4o
!

(2,0)c/4 even-symmetric width 14: 0 ships.
(2,0)c/4 odd-glide-symmetric width 14: 3 width-4 ships; 1 width-12 ship; 15 width-14 ships:

Code: Select all

x = 135, y = 153, rule = B3/S23
b2o10b2o11b2o$2ob2o7b2ob3o7b2ob4o$b4o8b5o8b6o$2b2o10b3o10b4o30$17b2o$
15b5o$4o9bo5b3o$o3bob2o5bo5b2obo$o5b4o2bo3bo3b3o3b2o3b2o$bo3bo3b2ob2o
2b2o5bob3ob2obobo$5bobob2obo3b2ob3ob3ob2o3b2o$10b2o4bobo$4ob3o3bo3bob
2ob6o3bob3o$o3b2o5bob2obo2bobob2o7b2o$o4bo8bob3o$bo2bo11b3o34$4b2o12b
2o15b4o16b4o17b4o18b4o8b2o$3b2ob3o8b2ob3o12bo3bobo13bo3bobo14bo3bobo
15bo3bobo4b2ob3o$4b5o9b5o12bo5b2o12bo5b2o13bo5b2o14bo5b2o4b5o$5b3o11b
6o11bo4b2o13bo4b2o14bo4b2o15bo4b2o5b3o$22bo3bo14bo19bo20bo21bo$5o16bo
16b9o11b10o11b11o11b10o$o4bo15bo4bo11bo8bo10bo9bo10bo10bo10bo9bo$o20b
5o12bo19bo20bo21bo$bo37bo3bo3bo11bo3bo4bo11bo3bo5bo11bo3bo$66bo20b2o$
4b2o12b2o15b4ob2o13b4ob2o14b4ob2o15b4ob2o5b2o$3b2ob3o8b2ob3o12bo3b2obo
12bo3b2obo13bo3b2obo14bo3b2obo3b2ob3o$4b5o9b5o12bo4bobo12bo4bobo13bo4b
obo14bo4bobo4b5o$5b3o11b3o14bo2bo16bo2bo17bo2bo18bo2bo8b3o8$24b2o36b2o
b2o5b4ob2o33b2ob2o5b4ob2o$bo2bo11b3o4b2ob2o13bo2bo11b3o3b4o2bo3bo4b3o
11bo2bo11b3o3b4o2bo3bo4b3o$o4bo8bob3o4bobobo12bo4bo8bob3o3bo5b3obob2ob
o12bo4bo8bob3o3bo5b3obob2ob3o$o3b2o5bob2obo2bob5ob2o11bo3b2o5bob2obo2b
obobobo4bobo3b2o12bo3b2o5bob2obo2bobobobo4bobo3b2o$4ob3o3bo3bob2ob2o4b
2obo3bo6b4ob3o3bo3bob2ob4o2bo2b2ob3o15b4ob3o3bo3bob2ob4o2bo2b2ob3o$10b
2o4bobo4bo2b2o22b2o4bobo6bo34b2o4bobo6bo$5bobob2obo3b2ob3ob2o8bo11bobo
b2obo3b2ob5ob18o12bobob2obo3b2ob5ob18o$bo3bo3b2ob2o2b2o6b9o8bo3bo3b2ob
2o2b2o6bo11b7o8bo3bo3b2ob2o2b2o6bo11b7o$o5b4o2bo3bo3b3obo3bo11bo5b4o2b
o3bo3b2ob2ob2o2bob3o5b2o8bo5b4o2bo3bo3b2ob2ob2o2bob3o5b2o$o3bob2o5bo5b
2ob2o16bo3bob2o5bo5b2obobo2b3obobo3bo12bo3bob2o5bo5b2obobo2b3obobo3bo$
4o9bo5b3obobo14b4o9bo5b2o2bo2bo2bo3b2o2bo12b4o9bo5b2o2bo2bo2bo3b2o2bo$
15b5o4bob2o27b5ob3obo3b2o2bob3obo25b5ob3obo3b2o2bob3obo$17b2o5b4o29b2o
7bo6bob2o2bo27b2o7bo6bob2o$25b2o46bob2o46bob2o7$24b2o36b2ob2o5b4ob2o
33b2ob2o5b4ob2o$bo2bo11b3o4b2ob2o13bo2bo11b3o3b4o2bo3bo4b3o11bo2bo11b
3o3b4o2bo3bo4b3o$o4bo8bob3o4bobobo12bo4bo8bob3o3bo5b3obob2obo12bo4bo8b
ob3o3bo5b3obob2ob3o$o3b2o5bob2obo2bob5ob2o3bo7bo3b2o5bob2obo2bobobobo
4bobo3b2o12bo3b2o5bob2obo2bobobobo4bobo3b2o$4ob3o3bo3bob2ob2o4b2obo4bo
5b4ob3o3bo3bob2ob4o2bo2b2ob3o15b4ob3o3bo3bob2ob4o2bo2b2ob3o$10b2o4bobo
4bo2b2o22b2o4bobo6bo34b2o4bobo6bo$5bobob2obo3b2ob3ob2o9bo10bobob2obo3b
2ob5ob19o11bobob2obo3b2ob5ob19o$bo3bo3b2ob2o2b2o6b10o7bo3bo3b2ob2o2b2o
6bo11b8o7bo3bo3b2ob2o2b2o6bo11b8o$o5b4o2bo3bo3b3obo3bo11bo5b4o2bo3bo3b
2ob2ob2o2bob3o5b3o7bo5b4o2bo3bo3b2ob2ob2o2bob3o5b3o$o3bob2o5bo5b2ob2o
16bo3bob2o5bo5b2obobo2b3obobo3bo12bo3bob2o5bo5b2obobo2b3obobo3bo$4o9bo
5b3obobo14b4o9bo5b2o2bo2bo2bo3b2o2bo12b4o9bo5b2o2bo2bo2bo3b2o2bo$15b5o
4bob2o27b5ob3obo3b2o2bob3obo25b5ob3obo3b2o2bob3obo$17b2o5b4o29b2o7bo6b
ob2o2bo27b2o7bo6bob2o$25b2o46bob2o46bob2o7$24b2o36b2ob2o5b4ob2o33b2ob
2o5b4ob2o$bo2bo11b3o4b2ob2o13bo2bo11b3o3b4o2bo3bo4b3o11bo2bo11b3o3b4o
2bo3bo4b3o$o4bo8bob3o4bobobo12bo4bo8bob3o3bo5b3obob2obo12bo4bo8bob3o3b
o5b3obob2ob3o$o3b2o5bob2obo2bob5ob2o3b2o6bo3b2o5bob2obo2bobobobo4bobo
3b2o12bo3b2o5bob2obo2bobobobo4bobo3b2o$4ob3o3bo3bob2ob2o4b2obo5bo4b4ob
3o3bo3bob2ob4o2bo2b2ob3o15b4ob3o3bo3bob2ob4o2bo2b2ob3o$10b2o4bobo4bo2b
2o22b2o4bobo6bo34b2o4bobo6bo$5bobob2obo3b2ob3ob2o10bo9bobob2obo3b2ob5o
b20o10bobob2obo3b2ob5ob20o$bo3bo3b2ob2o2b2o6b11o6bo3bo3b2ob2o2b2o6bo
11b9o6bo3bo3b2ob2o2b2o6bo11b9o$o5b4o2bo3bo3b3obo3bo11bo5b4o2bo3bo3b2ob
2ob2o2bob3o5b4o6bo5b4o2bo3bo3b2ob2ob2o2bob3o5b4o$o3bob2o5bo5b2ob2o16bo
3bob2o5bo5b2obobo2b3obobo3bo12bo3bob2o5bo5b2obobo2b3obobo3bo$4o9bo5b3o
bobo14b4o9bo5b2o2bo2bo2bo3b2o2bo12b4o9bo5b2o2bo2bo2bo3b2o2bo$15b5o4bob
2o27b5ob3obo3b2o2bob3obo25b5ob3obo3b2o2bob3obo$17b2o5b4o29b2o7bo6bob2o
2bo27b2o7bo6bob2o$25b2o46bob2o46bob2o!

(2,0)c/4 even-glide-symmetric width 13: 2 width-13 ships:

Code: Select all

x = 13, y = 33, rule = B3/S23
b2o$2ob4o$b6o$2b3ob2o$7bo$5b2o$4bob2o$5bobo2$b2o$2ob4o$b6o$2b4o8$bo2bo
3b2o$o6b2ob3o$o3bo3b5o$4o5b3o2$6b3o$6b2obo$bo2bo$o$o3bo3b2o$4o3b2ob3o$
8b5o$9b3o!

(2,0)c/5 width 9: 1 width-8 ship; 0 width-9 ships:

Code: Select all

x = 30, y = 8, rule = B3/S23
2ob4o$o3bo4bo$obobo4bo6b2ob2o5b2obo$b2obo4b2o2b2o2bobo4b2ob2o$4bo3b3ob
2o4bobo3b3obo$4bobobo2b2obobo2bob3o$5b2ob3obo8bo$5b3o2b3o!

(2,0)c/5 odd-symmetric width 13: 0 ships.
(2,0)c/5 even-symmetric width 18: 1 ship (70P5H2V0).
(2,0)c/5 gutter-symmetric width 17: 1 width-15 ship (44P5H2V0); 0 width-17 ships.

(1,1)c/4 width 9: 1 width-3 ship (glider); 1 width-7 ship (B29); 1 width-8 ship (swan); 12 width-9 ships:

Code: Select all

x = 106, y = 195, rule = B3/S23
3o$o$bo7$7b3o$7bo$3o6bo$o6bobo$bo4b2ob4o$3b4ob5ob2o$4b2o7b2obo6$2obo7b
3o$o3bo6bo$o4bo7bo7b2o$2b2o7bobo4b2obo$4bobo4b3obo2b2o$10bo3b2o2b2o$6b
2ob4ob2o$7b7o8$5b2o12bo6b2obo43bob6o9bo$4b2o11bob2o2b2obo2b3o6b2o29b2o
b3ob2ob3o7b3obo$6bo9b2o3b2o3bo2b3o5b3ob3o24b2o7b2o9b2o2b2o$8bo6b3obo6b
o2bob2obob4o5b3o21bo4b3obo3b2o3b2o2bo7b2o$2o5bo2bo3bo2bobob4ob2obo4b2o
5b2obob6ob2ob2o10bo5b2o8bo2bo2b2o4bob2o$obo3b2obob5o3bo4bobo3b3o2bo3bo
4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo6b2o2b2o3b2o$o6b5o3bobob2o2b2o6bobo4b2o
16b3ob2o2b2o4bob2o9bo7bo7bo$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o
14bo3bob2o4b2o2bo$3b2o20bo24bobo6bo4b2o18bo6bo5$5b2o12bo6b2obo43bob6o
8bo$4b2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o6b2o$6bo9b2o3b2o3bo2b3o5b3o
b3o24b2o7b2o9bobo$8bo6b3obo6bo2bob2obob4o5b3o21bo4b3obo3b2o$2o5bo2bo3b
o2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o8bo2b2obobo$obo3b2obob5o3bo4b
obo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo9b2o$o6b5o3bobob2o2b2o6bob
o4b2o16b3ob2o2b2o4bob2o9bo5bo5b2o$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo
3b2o15bo2bo2b6o$3b2o20bo24bobo6bo4b2o19bo6$5b2o12bo6b2obo43bob6o11b2o
5bob3o$4b2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o10bobob2obo4b2o$6bo9b2o
3b2o3bo2b3o5b3ob3o24b2o7b2o13bobobo2b7o$8bo6b3obo6bo2bob2obob4o5b3o21b
o4b3obo3b2o9b3o7bo$2o5bo2bo3bo2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o
8bobob2o2bo3b3o4b3o$obo3b2obob5o3bo4bobo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b
3o4bo4b3o2bo4b2o2bo3b2o7bo$o6b5o3bobob2o2b2o6bobo4b2o16b3ob2o2b2o4bob
2o10bo6b3o9bo$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o17b2o4bobo8bo$3b
2o20bo24bobo6bo4b2o20b2o5bobo8b2o5$5b2o12bo6b2obo43bob6o11b2o5bob3o$4b
2o11bob2o2b2obo2b3o6b2o29b2ob3ob2ob3o10bobob2obo$6bo9b2o3b2o3bo2b3o5b
3ob3o24b2o7b2o13bobobo2b4o$8bo6b3obo6bo2bob2obob4o5b3o21bo4b3obo3b2o9b
3o5bobo$2o5bo2bo3bo2bobob4ob2obo4b2o5b2obob6ob2ob2o10bo5b2o8bobob2o2bo
3b3o2bo$obo3b2obob5o3bo4bobo3b3o2bo3bo4bo2b3o2bo3b2o2bo5b3o4bo4b3o2bo
4b2o2bo3b2o5bo$o6b5o3bobob2o2b2o6bobo4b2o16b3ob2o2b2o4bob2o10bo6b3o6b
2ob2o$3bo5bo8bobo2b2obo11bo11bo3bo3bo2bobo3b2o17b2o4bobo5b2ob3o$3b2o
20bo24bobo6bo4b2o20b2o5bobo6bo6$5b3o11b3o4b5o36bob6o9bo$5bo11b2ob5o2bo
4bo5bob2obo19b2ob3ob2ob3o7b3obo$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o9b2o
2b2o$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o3b2o2bo7b2o$b2o4b2ob4o
4bobo2b3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bo2bo2b2o4bob2o$2o5bo5b2obo3bo
bo4b2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo6b2o2b2o3b2o$2bo4b2o3bobob2o3b
o9b2o6b2o8b2o5b2obo4bob2o9bo7bo7bo$4b2o4bo8bobo2bo14b2o11bo6bob2o14bo
3bob2o4b2o2bo$4b2o19b2o25bo25bo6bo5$5b3o11b3o4b5o36bob6o8bo$5bo11b2ob
5o2bo4bo5bob2obo19b2ob3ob2ob3o6b2o$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o
9bobo$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o$b2o4b2ob4o4bobo2b3ob
4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bo2b2obobo$2o5bo5b2obo3bobo4b2o2b4obo2b
3o2bob2o4b3o5b3o4bo4b3o2bo9b2o$2bo4b2o3bobob2o3bo9b2o6b2o8b2o5b2obo4bo
b2o9bo5bo5b2o$4b2o4bo8bobo2bo14b2o11bo6bob2o15bo2bo2b6o$4b2o19b2o25bo
26bo6$5b3o11b3o4b5o36bob6o11b2o5bob3o$5bo11b2ob5o2bo4bo5bob2obo19b2ob
3ob2ob3o10bobob2obo4b2o$6bo9bo3bob3o2b3o7bo5bo3bo14b2o7b2o13bobobo2b7o
$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo3b2o9b3o7bo$b2o4b2ob4o4bobo2b
3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bobob2o2bo3b3o4b3o$2o5bo5b2obo3bobo4b
2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo4b2o2bo3b2o7bo$2bo4b2o3bobob2o3bo
9b2o6b2o8b2o5b2obo4bob2o10bo6b3o9bo$4b2o4bo8bobo2bo14b2o11bo6bob2o17b
2o4bobo8bo$4b2o19b2o25bo27b2o5bobo8b2o5$5b3o11b3o4b5o36bob6o11b2o5bob
3o$5bo11b2ob5o2bo4bo5bob2obo19b2ob3ob2ob3o10bobob2obo$6bo9bo3bob3o2b3o
7bo5bo3bo14b2o7b2o13bobobo2b4o$8bo7bo10bo2bob4obo2bo4b2o3b2o11bo4b3obo
3b2o9b3o5bobo$b2o4b2ob4o4bobo2b3ob4o4bo2bob2o2b2o5b4ob3o3bo5b2o8bobob
2o2bo3b3o2bo$2o5bo5b2obo3bobo4b2o2b4obo2b3o2bob2o4b3o5b3o4bo4b3o2bo4b
2o2bo3b2o5bo$2bo4b2o3bobob2o3bo9b2o6b2o8b2o5b2obo4bob2o10bo6b3o6b2ob2o
$4b2o4bo8bobo2bo14b2o11bo6bob2o17b2o4bobo5b2ob3o$4b2o19b2o25bo27b2o5bo
bo6bo6$23bo39bob6o9bo$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o7b3obo$16bo2bo4b
o6b2o3b2obo3bo14b2o7b2o9b2o2b2o$b2o2bo10bo2bobob3o6bobobo4b2o3b2o11bo
4b3obo3b2o3b2o2bo7b2o$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bo2bo2b2o
4bob2o$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo6b2o2b2o3b2o$4b2o
2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o9bo7bo7bo$9bo2bo3b2o2b2obo5b
2o17bo6bob2o14bo3bob2o4b2o2bo$12b4o4b2obo24bo25bo6bo6$23bo39bob6o8bo$
16b2o3b2obo7b2o5bo19b2ob3ob2ob3o6b2o$16bo2bo4bo6b2o3b2obo3bo14b2o7b2o
9bobo$b2o2bo10bo2bobob3o6bobobo4b2o3b2o11bo4b3obo3b2o$2o4bo2b2o6bo4bo
9b4o4b2o5b4ob3o3bo5b2o8bo2b2obobo$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o
4bo4b3o2bo9b2o$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o9bo5bo5b2o
$9bo2bo3b2o2b2obo5b2o17bo6bob2o15bo2bo2b6o$12b4o4b2obo24bo26bo6$23bo
39bob6o11b2o5bob3o$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o10bobob2obo4b2o$16b
o2bo4bo6b2o3b2obo3bo14b2o7b2o13bobobo2b7o$b2o2bo10bo2bobob3o6bobobo4b
2o3b2o11bo4b3obo3b2o9b3o7bo$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bobo
b2o2bo3b3o4b3o$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo4b2o2bo3b
2o7bo$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o10bo6b3o9bo$9bo2bo
3b2o2b2obo5b2o17bo6bob2o17b2o4bobo8bo$12b4o4b2obo24bo27b2o5bobo8b2o6$
23bo39bob6o11b2o5bob3o$16b2o3b2obo7b2o5bo19b2ob3ob2ob3o10bobob2obo$16b
o2bo4bo6b2o3b2obo3bo14b2o7b2o13bobobo2b4o$b2o2bo10bo2bobob3o6bobobo4b
2o3b2o11bo4b3obo3b2o9b3o5bobo$2o4bo2b2o6bo4bo9b4o4b2o5b4ob3o3bo5b2o8bo
bob2o2bo3b3o2bo$2b2obo2bobo4b3o9b3ob2o7bob2o4b3o5b3o4bo4b3o2bo4b2o2bo
3b2o5bo$4b2o2bo2b2obob2o2b2obo4bo2bo13b2o5b2obo4bob2o10bo6b3o6b2ob2o$
9bo2bo3b2o2b2obo5b2o17bo6bob2o17b2o4bobo5b2ob3o$12b4o4b2obo24bo27b2o5b
obo6bo!

Here are minimal single-phase width examples for all of the above types (excluding c/4 diagonal):

Code: Select all

x = 159, y = 244, rule = B3/S23
93b3ob3o$7b3ob3o19b3ob3o20b3o2b4o2b3o18bo2bobo2bo$6bo2bobo2bo17bo2bobo
2bo18bo3bob4obo3bo16bo3bobo3bo$5bo3bobo3bo15bo3bobo3bo16bo6bo2bo6bo15b
o9bo$5bo9bo15bo9bo16bo3b2o6b2o3bo17bo5bo$7bo5bo19bo5bo20bo12bo16bobo7b
obo$4bobo7bobo13bobo7bobo14bobo14bobo12b2obob2ob2obob2o$3b2obob2ob2obo
b2o11b2obob2ob2obob2o12b2obob2o8b2obob2o10bobobo2bobo2bobobo$2bobobo2b
obo2bobobo9bobobo2bobo2bobobo10bobobob2o8b2obobobo8b2obo4bobo4bob2o$b
2obo4bobo4bob2o7b2obo4bobo4bob2o8b2o3bo2bo8bo2bo3b2o6bo3bob2obobob2obo
3bo$o3bob2obobob2obo3bo5bo3bob2obobob2obo3bo6bo3bobo2b2o6b2o2bobo3bo9b
o4bobo4bo$4bo4bo2b3obo13bob3o3b3obo13bo20bo8b2o3bo2bo3bo2bo3b2o$2o3bo
2bo2b2o2bo3b2o5b2o3bo2b2ob2o2bo3b2o6b2o24b2o$15b2o13b2o9b2o$30bo11bo$
29bobo9bobo$28bo15bo$30bo11bo$27b2obo11bob2o$26bo3b2o9b2o3bo$27bo2bo
11bo2bo$32b2o5b2o$29b2obo7bob2o$32bob2ob2obo$32bob2ob2obo$31bo3bobo3bo
$33bo5bo$31bo9bo$32bob2ob2obo$29b2obob2ob2obob2o$30bobobobobobobo$27b
2obobo7bobob2o$27b2o3bo7bo3b2o$27b3obo9bob3o$26b2o17b2o17$8bo23b3o3b3o
$7b3o22bo2bobo2bo$7bob2o21bo7bo$8b3o21bo7bo$8b2o22bo7bo$33bobobobo8$6b
o$5b3o22b3o7b3o16b3o10b3o17b3o3b3o22bo23bo8bo$5bob2o21bo2bo5bo2bo16bo
2bo8bo2bo17bo2bobo2bo21b3o21b3o6b3o$6b3o21bo11bo16bo14bo17bo7bo21bob2o
20bob2o5bob2o$6b3ob3o17bo11bo16bo3bo6bo3bo17bo7bo22b3o21b3o6b3o$6b4o2b
o18bobo5bobo17bo3bo6bo3bo17bo7bo22b2o22b3o2bo3b3o$8bo3bo22b3o22bo3bo4b
o3bo19bobobobo47b2o2bobo2b3o$8bo3bo22b3o27bo2bo78b3ob2o3b2o$12bo53b2o
81b2ob2o$9bobo19b3o5b3o21bobo2bobo$30bo2bo5bo2bo20bo6bo$33bo5bo24b2o2b
2o$33bo5bo22b2o6b2o$30bobo7bobo18b3obo2bob3o$60b2o2bo4bo2b2o$60bobo8bo
bo$61b3o6b3o$61b3o6b3o$61b2o8b2o22$10b3o20bo5bo$9bo2bo19bobo3bobo$9b2o
20b2ob2ob2ob2o$12bo18bo2bo3bo2bo$7b6o16b2ob2o5b2ob2o$5b2o5bo17b2o9b2o$
5b3o4bo18b2o7b2o$5bo26bo7bo19bo12bo$6b3o20b2o11b2o15bobo10bobo$6bob4o
18b3o7b3o15b2ob2o8b2ob2o17bo5bo$5b2ob2o23bobobobo18b2o14b2o16b3o3b3o$
5bobo52bo12bo17bo2bo3bo2bo$5b4o27bo23b4o6b4o16b3o7b3o$8b2o25bobo22bo2b
2o4b2o2bo17bobo5bobo$7bobo25bobo23b2o2bo2bo2b2o20b2o3b2o$34bo3bo23b2ob
4ob2o17bo4bo3bo4bo$7bo2bo23b2ob2o24bobo2bobo23bo3bo$9b2o22bo5bo24bo4bo
19b2o3bo3bo3b2o$8bo25bo3bo52bo2bo3bo2bo$7bob2o24bobo25bo6bo22bo5bo$8bo
bo23b2ob2o22b2ob2o2b2ob2o$6b2o26b2ob2o23bo8bo$7bo54b2o6b2o$7bo24b3o3b
3o$8b2o24bo3bo$8b2o22b3o3b3o$8bobo22bobobobo$9b2o$8b2o20bo2bo5bo2bo$
10bo18b2o2b3ob3o2b2o$29bobo9bobo$30bo11bo$30bo11bo15$7b2o27bo29b2o21b
2o11b2o$3b2obo2bob2o22bobo24b2obo2bob2o17b2ob2o5b2ob2o$3b2o6b2o21bo3bo
23b2o6b2o16bo3b2o5b2o3bo$3bobo4bobo22b3o24bobo4bobo16bobo3b2ob2o3bobo$
5b2o2b2o53b2o2b2o22bo2bobo2bo$4b2ob2ob2o21b2o3b2o23b2ob2ob2o22bobobobo
$6bo2bo21bo3bobo3bo23bo2bo21b2obobobobob2o$4bo6bo18b2o3bobo3b2o20bo6bo
19bo2bobobobo2bo$4bo6bo17bo5bobo5bo19bo6bo24bobo$30bob2obobob2obo45b3o
bo7bob3o$4b8o51b8o23b2ob2o$3b2o6b2o49b2o6b2o3$8bo$9b2o$9b2o$10bo$10b2o
$9bo2bo$11bo$4b2ob2o$4b2o3b4o$3bo2bo3bobo27$5b3o26bo3bo23b3o4b3o22bo3b
o$6bo27bo3bo24bo6bo23bo3bo$33bobobobo53bobobobo$8bo$7b2obo22bobobobo
22b3o4b3o20bo7bo$7b2ob4o21bobo28b2o21bob2o2bobo2b2obo$8bo3b2o18bobo3bo
bo20bo4b2o4bo16bobo2b2ob2o2bobo$7b3o3bo18bobo3bobo20bo2bo4bo2bo15bob2o
bobobobob2obo$6bobo3bo19bo2b3o2bo22b2o4b2o$5bo3bo2bo47b2obobo2bobob2o
20bo3bo$6bobobob2o17b2o7b2o19bo3bo2bo3bo$9b2obo18bo9bo20bo8bo18b2ob2o
3b2ob2o$9b2ob2o18bo7bo20bo2bo4bo2bo17b2o9b2o$10bob2o17b2ob5ob2o20b2o6b
2o21b2o3b2o$9b2o2bo18bo2bobo2bo21bob6obo22bo3bo$33bobobobo21bob3o2b3ob
o20bo5bo$9b4o52b4o23bobo3bobo$8bo2b2o21b2ob2o21b2o10b2o17b4o3b4o$8bobo
2bo20bo3bo25bo4bo20bo2bo5bo2bo$8bo2bo21b2o3b2o23b3o2b3o19bob2o5b2obo$
8b3ob2o19b2o3b2o52bo7bo$7b2obo52b2o4b2o21b2o5b2o$6bo4bo51bo6bo$7b3o52b
3o4b3o22bo3bo$7b3o53bob4obo22bo5bo$8bob3o50bobo2bobo22bo5bo$7bo56b2o2b
2o$6b2ob3o$7bobo$6bo2bo$6bo2bo$9bo$6bo$7b3o$9bo$11bo$9bo$11bo$8b3o$8b
2o$8b2o$9bo$9bo!

I also found this wick ship incidentally during my searches:

Code: Select all

x = 77, y = 16, rule = B3/S23
4bo14b2o11b2o$2b3o6bo6b4o9b5o5b2o$2o3bob2o2bo5b2ob2o7b2o3b2obo2b3o$o2b
o4bo9b2o8b2o4bo3bo3bo$o4b3o2bo2bo13b2o2bobo7b4o$b2ob3o3bo2bobo6bo3b3o
2bo4b2obobo5bo9bo3bo9bo$3b4o4bo5bobob2o4b2o3bo7bo5bo2b2ob3obobobo2b2ob
3obobo$3bob2o5b3o4bo3bo5bo3b2o2bobobo2bobobobobobobo3bobobobobobo5bo$
12b2o2b2o6bo4b4o2bo3b2obo2bobobo3bobobobobobo3bobobob4o$3bo10bobobob2o
7b2o2b3o2bobobo3b2obobobo2b2ob3obobobo2b2ob2o$2b3o4bob4o6bo2bob3obobob
o2bo2bobo2bo4bo3bo9bo3bo$2ob3o4bobobo4b4o4b2o2b5o4b3o$o2b3obo2bo7b4o6b
2o4b5o2bobo$o6b4o6b2ob2o7b2o2b2o2bo2b2o$b6o11b2o16b2o4bo$3bob2o24b2o!

Other 2c/4 supports for this wick are already known. This one simply has minimal width among glide-symmetric solutions. No stationary fencepost for the p7 wick is known.

Edit: I verified with WLS 0.63 that there is exactly one (1,0)c/4 ship with a single-phase height of 7:

Code: Select all

x = 26, y = 7, rule = B3/S23
15bo8bo$3o11b4o5b3o$bo7bob2o4bo5b3o$8b2o2bobo4bo3bo$2b2obob2obo5bo3b2o
bo$bo3b5o3b2o5bo3bo$bo3bo3bo3bobo3b2o!

dbell · Post by **dbell** » December 10th, 2025, 4:15 am

Here is a LWSS turning reaction based on the one used in the solifuge spaceship.

Code: Select all

#C Four gliders can turn a LWSS by 90 degrees.
#C This shows the reaction both with and without an incoming LWSS.
#C Two of the gliders are used to create a glider close to another one.
#C The forth glider is used for cleanup.  It takes 13 generations for
#C the new LWSS to form.
x = 140, y = 28, rule = B3/S23
8bobo99bobo$9boo100boo$9bo101bo4$11bobo99bobo$11boobb3o95boobb3o$12bo
bbo98bobbo$16bo101bo$b4o$o3bo$4bo$obbo12$36boo100boo$35boo100boo$37bo
101bo!

Here is an almost LWSS loop using four c/3 convoys which produce the reaction at each corner.

Code: Select all

#C An almost LWSS loop composed of four c/3 convoys.
#C Three of the convoys contain period 135 forward and backward rakes.
#C The fourth convoy contains period 270 forward and backward rakes.
#C The LWSS is turned at each corner using a reaction of four gliders.
#C The loop is not correctly closed since the timing is wrong.
#C David I. Bell, 10 December 2025
x = 1057, y = 1425, rule = B3/S23
298b3o17b3o$293booboobo19bobooboo$293boo4boboo13boobo4boo$292bobbo3bob
obo11bobobo3bobbo$299boboboboo5boobobobo$297bo3boboboo5boobobo3bo$298b
obobob3o5b3obobobo$$184boo17boo97b3o9b3o$179bobooboo17booboobo92b3obob
obobob3o$178b3obo3boo13boo3bob3o92b5obob5o$177bo3boobobobo11boboboboo
3bo96bobo$178bo3b3obob3o7b3obob3o3bo97b3o$182bo3boboboo5boobobo3bo98bo
bo3bobo$183boobo5bo3bo5boboo$189bo9bo103boob3ob3oboo$303bo11bo$186b3ob
o3bo3bob3o99bobbo7bobbo$188bobbooboboobbo101bo4bo3bo4bo$191bobbobbo
109bo3bo$190boo5boo102b6o5b6o$190b4ob4o96bo4boo15boo$293b4o12bo$188b3o
booboob3o91boo3bo9booboo$187bo4booboo4bo89bo5b3o8bobo$190b3o3b3o95bobo
4boo6bo11bo$187b4obo3bob4o89bob4o4boo17b4o$187b5o5b5o88b8ob4o12bo3bo3b
ooboo$185boo5bo3bo5boo64boo20boo22b4o5bobboo$63boo17boo177boo5booboo7b
3oboo9bo5boo10bo3bo7bobbo$58bobooboo17booboobo90b3o3bo5bobbobbo5bo54b
4obob3o3boo5boo4boo8bobo3bobbo10bobobbo$57b3obo3boo13boo3bob3o87boo3bo
6bobbooboobbo54bo3boo3bo3bobo3boobbo3bob3o11bobobbo15bo$56bo3boobobobo
11boboboboo3bo85bo3bobbo66b3ob3o4bo3bobo3bobbobbob3obo11b4o$57bo3b3obo
b3o7b3obob3o3bo86bo6boobo5bo3bo52bo6bobobbo3bo6boboboobooboo5bo5b4o6b
oo$61bo3boboboo5boobobo3bo93b3obooboo5b3o9b3o42boo3bobbo9bob3obobobb3o
bbo4boo6bobbo3boo4boo$62boobo5bo3bo5boboo91b3o3boboobbo15bo3boobo53boo
boobboobbo5boboo3boboo12boo3boo$68bo9bo96boo22b3obb3o3b3o55bobbobb4o9b
obbo15bo3boo$153boo32bo10bobob3o4bo3bo42bo3boobooboboo5boo5boo3bo$65b
3obo3bo3bob3o64boo5booboo7b3oboo8b3o4boo11bo4bo7bo42booboo3b3o3b3obbo
bboboo9boboboo$67bobbooboboobbo63b4obob3o3boo5boo4boo9boo3b3o14boo52bo
bbo4boo3bo4boobobo14boo$70bobbobbo62bo3boo3bo3bobo3boobbo3bob3o9boobb
oo65bobo5booboo14b5o8b5o$69boo5boo57b3ob3o4bo3bobo3bobbobbob3obo14b3o
4bo59b5o7boo4boo7bobbobbo6bobbo$69b4ob4o56bo6bobobbo3bo6boboboobooboo
5bo6bobbo4boo58bo3boboo20bo8boo$135boo3bobbo9bob3obobobb3obbo4boo7bo4b
oobo3boo53bo4boboo23b4obb4o7bo$67b3obooboob3o70booboobboobbo5boboo3bob
oo11bobobbobbo57bo3bo22b10o5boo$66bo4booboo4bo72bobbobb4o9bobbo14boo3b
oo59bobo21boo10boo4boo$69b3o3b3o63bo3boobooboboo5boo5boo3bo$66b4obo3bo
b4o59booboo3b3o3b3obbobboboo9boboboo99bo5boo5bo$66b5o5b5o60bobbo4boo3b
o4boobobo14boo103b6o$64boo5bo3bo5boo53bobo5booboo14b5o8b5o$73bo61b5o7b
oo4boo7bobbobbo6bobbo107boo12b3o11b3o$64bo7b3o7bo3b3o45bo3boboo20bo8b
oo112bobbo10bo17bo$68bo4bo4bo6bo3boo44bo4boboo23b4obb4o108bobbo11bobb
3ob3ob3obbo$84bobbo3bo48bo3bo22b10o5bobo101boo14bobbobobobobbo$81boboo
6bo44bo4bobo12bo8boo10boo3boo120booboboboo$60b3o17booboob3o45b4o17b4o
24bo7b3o17b3o90bobbobobbo$56boboo3bo9bo5bobboobo3b3o38b3obo3bo15bo3bob
3obbo5boo5bo7booboobo19bobooboo88bobo$55b3o3b3obb3o4bo17boo20bo15bo3bo
bboboo13boobobbo3bo5b6o11boo4boboo13boobo4boo85bobbobobbo$54bo3bo4b3ob
obo3bo6bo17boboo9b4o15boo3booboboo9booboboo3boo22bobbo3bobobo11bobobo
3bobbo61bo23bobobobo$55bo7bo4bo11boo4b3o8boobooboo5boo4boob4o12bobbobo
boo5boobobobbo34boboboboo5boobobobo66b4o8bo13bobobobo$64boo14b3o3boo8b
obboboboo4bo3bobobboobob3o9boobobo3bo3bo3boboboo32bo3boboboo5boobobo3b
o60booboo3bo7bobo8booboboboboboo$82boobboo14boobobboob3obobo3bo5b3oboo
5b4obo5bob4o36bobobob3o5b3obobobo61boobbo3bo7boo9booboboboboboo$82b3o
14boo4bobboboboob3o3b4obo4boo5boo13boo15bobbo100bobbo7bo13b3o3bobobobo
3b3o$77boo4bobbo5b3obb3o3bobbobo5bobo6boobobobobbo5boboo7boobo15boobb
oo20b3o9b3o75bo12bo5booboboboo5bo$76bobboo3bo6bo8bob3obobbobobboboo25b
ob3obo20bobbo21b3obobobobob3o70boobo15boboobbobobobobboobo$71boobb3obb
o9boo4bo3b6oboobbobbo24bo3bo5bo3bo42b5obob5o71boo20booboboboboboo$70bo
bb3o4bo9boobboobboboo7b3oboo4bo6bo14b3o5b3o49bobo76bobo19boobobobobob
oo$71boob6o8bob3o10b3obboboo3b3ob5obobo16booboo52b3o79boo6boo10bobobob
obobo$76boo9boo14bobobbo5b3o3boboo4bo16b3o28bo21bobo3bobo74b3o7bobo11b
obobobo$86bobboo10boo5bo4boo4boo4bo15boobbobobboo23bo99bo3boobbo8bo8bo
bobobobobobobo$90boo8boobbo8boo7bo5bob3o7boobbo3bobboo22b3o18boob3ob3o
boo65b3o3boo18b3obooboboboob3o$91boobboobboo4boo12bo7bobobobo5boob3o3b
3oboo42bo11bo64bo3bobbobo17b5obbobobb5o$91boobboobboo19bo3boobo4bo6boo
11boo41bobbo7bobbo64bobobobo23booboboboo$94bobbo26boobo15bo5bo45bo4bo
3bo4bo70bo19boo5bobo5boo$90bobbo4bobbo22bobo11bobboobo3boboobbo45bo3bo
74boo18bobbo4bobo4bobbo$85bo3b6obb6o34b7o5b7o38b6o5b6o69bo19bobobbobob
obobbobo$86bobboob8oboo34boob3o7b3oboo3boo32boo7bo7boo4bo63bo18booboo
9booboo$84b3o58b3o11booboo37bobo11b4o80boobobobb3obboboboo$94bobbo46b
ooboo9boboboo37b3o10bo3boo$66boo13boo11b4o46booboo8b3obboo48b3o5bo78b
oo3b3o3b3o3boo$66boobo9boboo12boo37boo10bo6b3obobob3o26bo18boo4bobo80b
o19bo$66b3obbobbobbobb3o48booboo16bo11boo22b4o17boo4b4obo76boo3boo4bo
4boo3boo$68bobb3ob3obbo47b4obboo4boo11bobobbo25booboo3bo3bo12b4ob8o78b
3o11b3o$73bobo17bo4bo28bo4bo4booboo20bobbo18boobbo5b4o3b3o16boo78bo15b
o$69bobobobobobo12bo6bo28boo7boo3bobb3o5boo5bo9bo12bobbo7bo3bo3bo6boo
5bo13bo10b3o53boobobo11boboboo$69bo3bobo3bo13bo4bo38boo13bobbo3boo7boo
22bobbobo3bobo4bobbo3bobo8b3ob3o6boobobbo3boobo44booboboboo5booboboboo
$71bobobobo78bo12boo22bo8bo6bobbobo10bo6boo6bobobooboobobbo46boboboo5b
oobobo$71bobobobo78bo3bo41bo10b4o9bobobo3bobbooboobbobo3bobboobboobo
38bobob3o5b3obobo$70booboboboo21b3o53bo3bo52b4o15bobobbobo3bo3bobob3ob
obooboo$69bobobobobobo19bo3boobo45bo4boo52bobbo6boo4boo5boobobobo3bo9b
obobobbo38b3o9b3o$68booboboboboboo18bobo3b3o43b4o65boboobboo4boobobo3b
ob4o7bo6bo39b3obobobobob3o$65boo4bobobobo4boo7bo6boo4bo3bo36bo63bo10bo
boobb3oboo11bo58b5obob5o$65boo4bobobobo4boo8boo3b3o7bo35bobbo3boo54bo
3boo8boobobobobo4bobb3obo3bobo59bobo$65bo5bobobobo5bo7boo6bobo42boo5bo
52b3obboo9bo12bo6bobboo3booboob3o50b3o$67b3obobobobob3o19boo102bo10b3o
12boobobbo7bo3bobbooboo47bobo3bobo$70booboboboo20bo3bo102bo8bo18b4o4bo
3bobbo4b3o$71bobobobo21bo116bobboo8boo3boo6boo5b4o4booboo40boob3ob3ob
oo$68booboboboboboo18boobo115bobo8bobobbo13b3o5bo3boo40bo11bo$71bobobo
bo24bo4bo112bobb4obbo24b3obo3bo38bobbo7bobbo$67boobbobobobobboo18b3o3b
obo111bo8bo23boobo44bo4bo3bo4bo$66boobbobbobobbobboo22bo3bo52bo61boo
26bo3bo49bo3bo$70booboboboo22bo3boboo53bobo54b12o9boo17boo39b6o5b6o$
66boo5bobo5boo19boo58boo54boo10boo3bobooboo17booboobo33boo15boo$66boo
5bobo5boo151b3obo3boo13boo3bob3o41bo$65bobbo3booboo3bobbo16bobbo54bobo
62bobbo6bo3boobobobo11boboboboo3bo38booboo$68bobboo3boobbo20bobo55boo
73bo3b3obob3o7b3obob3o3bo40bobo$65boobobb7obboboo75bo63bobbo11bo3bobob
oo5boobobo3bo45bo11bo$66bobobo7bobobo134bo5bobbo12boobo5bo3bo5boboo57b
4o$65bob15obo131bobo27bo9bo58bo3bo3booboo$64bo3bo4b3o4bo3bo131boo5b4o
86b4o5bobboo$63bo4boobo5boboo4bo137bobbo15b3obo3bo3bob3o53bo3bo7bobbo$
63bobboo13boobbo158bobbooboboobbo56bobobbo$66bo15bo164bobbobbo37boo24b
o$64bobobo11bobobo161boo5boo36bobo$63boobob3o7b3oboboo160b4ob4o37bo11b
oo$66boboboo5boobobo220boo4boo$63boobo5bo3bo5boboo158b3obooboob3o47boo
3boo$69bo9bo163bo4booboo4bo47bo3boo$246b3o3b3o$66b3obo3bo3bob3o83bo76b
4obo3bob4o$68bobbooboboobbo86bo75b5o5b5o$71bobbobbo87b3o73boo5bo3bo5b
oo$70boo5boo171bo$70b4ob4o143bobo10b3o3bo7b3o7bo$223boo8boo3bo6bo4bo4b
o$68b3obooboob3o9boo131bo8bo3bobbo$67bo4booboo4bo7bobo140bo6boobo$70b
3o3b3o11bo103b3o17b3o18b3obooboo17b3o11b3o$67b4obo3bob4o107booboobo19b
obooboo10b3o3boboobbo5bo9bo3boobo5boo3bo$67b5o5b5o107boo4boboo13boobo
4boo9boo17bo4b3obb3o3b3o3bo3bobbo$65boo5bo3bo5boo104bobbo3bobobo11bobo
bo3bobbo20bo10bo3b3o4bo3bobbo6boobo$74bo120boboboboo5boobobobo19b3o4b
oo11boo3bo7bo6b3obooboo$65bo7b3o7bo109bo3boboboo5boobobo3bo18boo3b3o5b
oo7boo12b3o3boboobbo$69bo4bo4bo114bobobob3o5b3obobobo19boobboo6boboo
19boo$239b3o5boobobo30bo$198b3o9b3o24bobbo7b5o22b3o4boo$61b3o134b3obob
obobob3o26bo9bobo24boo3b3o$57boboo3bo9bo124b5obob5o38bo25boobboo$56b3o
3b3obb3o4bo129bobo23bo48b3o$55bo3bo4b3obobo3bo129b3o24bo45bobbo$56bo7b
o4bo131bobo3bobo19b3o47bo$65boo$199boob3ob3oboo29bo64bo11bo$199bo11bo
27boo63b4o9b4o$78boo118bobbo7bobbo27boo61boo3bo7bo3boo$77bobboo116bo4b
o3bo4bo87bobo4bo9bo4bobo$72boobb3obbo121bo3bo91boo3bo7bo7bo3boo$71bobb
3o4bo115b6o5b6o86bo3boo5b3o5boo3bo$72boob6o115boo15boo87boboo4bo3bo4b
oobo$77boo124b5o92boobbo6b3o6bobboo$203b5o69boo25bo5b5o5bo$203booboo
68boo22bo3bobooboo3booboobo3bo$193bo10b3o71bo23boo3bo9bo3boo$191b4o9b
3o99bobboo3boobbo$187booboo3bo3bo5bo$187boobbo5b4o$105boo79bobbo7bo3bo
$105booboo85bobbobo3b3o$104boboboo86bo$103b3obboo$99b3obobob3o$98bo11b
oo131boo$99bobobbo138bobo$108bobbo101boo28bo$99boo5bo105boobo$98bobbo
3boo97bo5bo4boo$102bo101bo4bobobboo$94boo6bo3bo103bo$93bobbo5bo3bo$94b
oboo5boo$94b3o$88bobbo3bo$63b3o9b3o10boboo$61boobobo7boboboo8bo$58bobo
4bo9bo4bobo6bobbo133bobo$57boboo9bo9boobo6bobo133boo$56bo3b4o5bobo5b4o
3bo6bo135bo$59bobbo5bo3bo5bobbo$57bo11b3o11bo$59b4o15b4o$58b4obbooboo
3booboobb4o$60bo4boboo3boobo4bo$63bobobo5bobobo4$126bo$126boo$125bobo
6$208bo$208bobo$208boo$$159b3o37bo$161bo38boo$160bo38boo9$193boo$194b
oo$193bo212$854bo19bo$852b4o17b4o$848b3obo3bo15bo3bob3o$847bo3bobboboo
13boobobbo3bo$848boo3booboboo9booboboo3boo$853bobboboboo5boobobobbo$
853boobobo3bo3bo3boboboo$856b4obo5bob4o$856boo13boo$857boboo7boobo$
861bob3obo$857bo3bo5bo3bo$859b3o5b3o$862booboo$863b3o$859boobbobobboo$
858boobbo3bobboo$857boob3o3b3oboo$857boo11boo$861bo5bo$856bobboobo3bob
oobbo$855b7o5b7o$850boo3boob3o7b3oboo$847booboo11b3o$847boobobo9booboo
$847boobb3o8booboo$847b3obobob3o6bo10boo$845boo11bo16booboo$852bobbobo
11boo4boobb4o$824bo20bobbo20booboo4bo4bo$823b4o9boobo10bo5boo10bo3boo
7boo$815b4oboo4boo5boobooboo9boo3bobbo13boo$812b3oboboobbobo3bo4boobob
obbo12bo$805boob3o5bo3bobob3oboobboboo14bo3bo$805boo4bob4o3b3oboobobo
bbo4boo11bo3bo4b3o$804bobboboboboo6bobo5bobobbo3b3obb3o6boo5bo5boo$
820boobobbobobbob3obo8bo12bobobbobbo$823bobbobboob6o3bo4boo12boo3boo$
811bo6bo4boob3o7boobobboobboo$810bobob5ob3o3boobobb3o10b3obo$809bo4boo
bo3b3o5bobbobo14boo$812bo4boo4boo4bo5boo10boobbo$805b3obo5bo7boo8bobb
oo8boo$804bobobobo7bo12boo4boobboobboo$805bo4boboo3bo19boobboobboo6bo$
810boboo26bobbo8bo$811bobo22bobbo4bobbo4b3o$805b3o17b3o7b6obb6o177b3o
17b3o$800booboobo19bobooboobboob8oboo172booboobo19bobooboo$800boo4bob
oo13boobo4boo112b3o17b3o53boo4boboo13boobo4boo$799bobbo3bobobo11bobobo
3bobbo106booboobo19bobooboo47bobbo3bobobo11bobobo3bobbo$806boboboboo5b
oobobobo14boo97boo4boboo13boobo4boo54boboboboo5boobobobo$804bo3boboboo
5boobobo3bo12boo96bobbo3bobobo11bobobo3bobbo51bo3boboboo5boobobo3bo$
805bobobob3o5b3obobobo11bo4bo101boboboboo5boobobobo59bobobob3o5b3obobo
bo$839bo4bo99bo3boboboo5boobobo3bo$809b3o9b3o15bo4bo100bobobob3o5b3obo
bobo62b3o9b3o$809b3obobobobob3o17boo187b3obobobobob3o$810b5obob5o126b
3o9b3o67b5obob5o$815bobo131b3obobobobob3o72bobo$815b3o132b5obob5o73b3o
$812bobo3bobo26bo107bobo75bobo3bobo$845boo108b3o$810boob3ob3oboo23boo
104bobo3bobo70boob3ob3oboo$810bo11bo208bo11bo$809bobbo7bobbo126boob3ob
3oboo67bobbo7bobbo$809bo4bo3bo4bo126bo11bo67bo4bo3bo4bo$814bo3bo130bo
bbo7bobbo71bo3bo$808b6o5b6o124bo4bo3bo4bo65b6o5b6o$807boo15boo4bo123bo
3bo64bo4boo15boo$816bo12b4o115b6o5b6o56b4o10b5o$814booboo9bo3boo108bo
4boo15boo54boo3bo9b5o$815bobo8b3o5bo105b4o10b5o60bo5b3o7booboo$804bo
11bo6boo4bobo107boo3bo9b5o63bobo4boo5b3o10bo$802b4o17boo4b4obo103bo5b
3o7booboo60bob4o4boo5b3o9b4o$798booboo3bo3bo12b4ob8o105bobo4boo5b3o10b
o49b8ob4o6bo5bo3bo3booboo$798boobbo5b4o4bo17boo102bob4o4boo5b3o9b4o25b
oo20boo22b4o5bobboo$797bobbo7bo3bo3bo6boo5bo8bo97b8ob4o6bo5bo3bo3boob
oo14boo5booboo7b3oboo9bo5boo10bo3bo7bobbo$806bobbobo4bo5bobbo3bobo7bob
o73boo20boo22b4o5bobboo11b4obob3o3boo5boo4boo8bobo3bobbo10bobobbo$807b
o15bobbobo10boo67boo5booboo7b3oboo9bo5boo10bo3bo7bobbo6bo3boo3bo3bobo
3boobbo3bob3o11bobobbo15bo$827b4o74b4obob3o3boo5boo4boo8bobo3bobbo10bo
bobbo11b3ob3o4bo3bobo3bobbobbob3obo11b4o$827b4o70bo3boo3bo3bobo3boobbo
3bob3o11bobobbo15bo11bo6bobobbo3bo6boboboobooboo5bo5b4o5boo$821boobbo
bbo20boo17boo27b3ob3o4bo3bobo3bobbobbob3obo11b4o32boo3bobbo9bob3obobo
bb3obbo4boo6bobbobbobbo$823bo20bobooboo17booboobo21bo6bobobbo3bo6bobob
oobooboo5bo5b4o5boo40booboobboobbo5boboo3boboo10bobbo3boo$814bobo3bo3b
o18b3obo3boo13boo3bob3o21boo3bobbo9bob3obobobb3obbo4boo6bobbobbobbo42b
obbobb4o9bobbo12booboobobbo$813bobbo3bo21bo3boobobobo11boboboboo3bo35b
ooboobboobbo5boboo3boboo10bobbo3boo25bo3boobooboboo5boo5boo3bo17boo3b
oo$814boo5bo21bo3b3obob3o7b3obob3o3bo39bobbobb4o9bobbo12booboobobbo23b
ooboo3b3o3b3obbobboboo9boboboo$822bobo22bo3boboboo5boobobo3bo31bo3boob
ooboboo5boo5boo3bo17boo3boo25bobbo4boo3bo4boobobo14boo$848boobo5bo3bo
5boboo31booboo3b3o3b3obbobboboo9boboboo36bobo5booboo14b5o8b5o$854bo9bo
38bobbo4boo3bo4boobobo14boo35b5o7boo4boo7bobbobbo6bobbo$898bobo5booboo
14b5o8b5o34bo3boboo20bo8boo$851b3obo3bo3bob3o29b5o7boo4boo7bobbobbo6bo
bbo37bo4boboo23b4obb4o$853bobbooboboobbo30bo3boboo20bo8boo48bo3bo22b
10o$832bobo21bobbobbo34bo4boboo23b4obb4o45bobo21boo10boo3bo$832boo21b
oo5boo38bo3bo22b10o86bobo$833bo21b4ob4o39bobo21boo10boo3bo63bo5boo5bo
3boo$829bo114bobo65b6o$830bo22b3obooboob3o61bo5boo5bo3boo$828b3o21bo4b
ooboo4bo64b6o77boo12b3o11b3o$855b3o3b3o149bobbo10bo17bo$852b4obo3bob4o
66boo12b3o11b3o49bobbo11bobb3ob3ob3obbo$852b5o5b5o65bobbo10bo17bo48bo
bbo13bobbobobobobbo$850boo5bo3bo5boo63bobbo11bobb3ob3ob3obbo50boo16boo
boboboo$933boo14bobbobobobobbo70bobbobobbo$850bo5bobbobbo5bo3b3o76boob
oboboo75bobo$854bo3bobo3bo6bo3boo74bobbobobbo72bobbobobbo$858bobo9bobb
o3bo76bobo52bo23bobobobo$859bo7boboo6bo73bobbobobbo47b4o22bobobobo$
846b3o17booboob3o53bo23bobobobo44booboo3bo18booboboboboboo$842boboo3bo
15bobboobo3b3o48b4o22bobobobo44boobbo3bo6bobo9booboboboboboo$841b3o3b
3obb3o22boo43booboo3bo18booboboboboboo40bobbo7bo4boo7b3o3bobobobo3b3o$
840bo3bo4b3obobobb3o5bo32boo21boobbo3bo6bobo9booboboboboboo51bo5bo6bo
5booboboboo5bo$841bo7bo4bo11boo4b3o8boob3o7booboo5boo13bobbo7bo4boo7b
3o3bobobobo3b3o43boobo15boboobbobobobobboobo$850boo14b3o3boo9boo4boo5b
oo3b3obob4o21bo5bo6bo5booboboboo5bo42boo20booboboboboboo$868boobboo9b
3obo3bobboo3bobo3bo3boo3bo12boobo15boboobbobobobobboobo43bobo19boobobo
boboboo$868b3o14bob3obobbobbo3bobo3bo4b3ob3o8boo20booboboboboboo49boo
18bobobobobobo$864bo4bobbo6bo5boobooboobobo6bo3bobbobo6bo7bobo19boobob
oboboboo47b3o7boo12bobobobo$864boo4bo7boo4bobb3obbobob3obo9bobbo3boo
11boo18bobobobobobo42bo3boobbo7bobo7bobobobobobobobo$857boo4b4o9boobo
3boobo5bobboobbooboo24b3o21bobobobo43b3o3boo10bo7b3obooboboboob3o$857b
3o3bobboo10bobbo9b4obbobbo21bo3boobbo17bobobobobobobobo38bo3bobbobo17b
5obbobobb5o$856bo8b3o13bo3boo5boo5boobobooboo3bo8b3o3boo18b3oboobobob
oob3o38bobobobo23booboboboo$865boo6boobobo9boobobbobb3o3b3o3booboo6bo
3bobbobo17b5obbobobb5o44bo19boo5bobo5boo$873boo14boboboo4bo3boo4bobbo
8bobobobo23booboboboo47boo18bobbo4bobo4bobbo$873b5o8b5o14booboo5bobo9b
o19boo5bobo5boo44bo19bobobbobobobobbobo$875bobbo6bobbobbo7boo4boo7b5o
7boo18bobbo4bobo4bobbo43bo18booboo9booboo$881boo8bo20boobo3bo7bo19bobo
bbobobobobbobo63boobobobb3obboboboo$877b4obb4o23boobo4bo8bo18booboo9b
ooboo$877b10o22bo3bo24boo6boobobobb3obboboboo62boo3b3o3b3o3boo$843bo
31boo10boo8bo12bobo4bo20bobo85bo19bo$841bobo51b4o17b4o19bo6boo3b3o3b3o
3boo60boo3boo4bo4boo3boo$842boo27bo3bo5boo5bobb3obo3bo15bo3bob3o21bo
19bo62b3o11b3o$872boo16bo3bobboboo13boobobbo3bo19boo3boo4bo4boo3boo61b
o15bo$871boo7bobbo7boo3booboboo9booboboo3boo23b3o11b3o61boobobo11bobob
oo$880bobbo12bobboboboo5boobobobbo28bo15bo61booboboboo5booboboboo$880b
obbo12boobobo3bo3bo3boboboo25boobobo11boboboo61boboboo5boobobo$899b4ob
o5bob4o28booboboboo5booboboboo60bobob3o5b3obobo$899boo13boo31boboboo5b
oobobo$900boboo7boobo31bobob3o5b3obobo64b3o9b3o$878boo4boo18bob3obo
118b3obobobobob3o$900bo3bo5bo3bo33b3o9b3o67b5obob5o$902b3o5b3o35b3obob
obobob3o72bobo$905booboo39b5obob5o73b3o$906b3o45bobo75bobo3bobo$902boo
bbobobboo41b3o$901boobbo3bobboo37bobo3bobo70boob3ob3oboo$900boob3o3b3o
boo115bo11bo$879bo20boo11boo34boob3ob3oboo67bobbo7bobbo$877bobo24bo5bo
38bo11bo67bo4bo3bo4bo$878boo19bobboobo3boboobbo32bobbo7bobbo71bo3bo$
898b7o5b7o31bo4bo3bo4bo65b6o5b6o$893boo3boob3o3bo3b3oboo36bo3bo69boo
15boo$890booboo11bobo38b6o5b6o70b5o$890boobobo10bobo37boo15boo69b5o$
890boobb3o10bo45b5o76booboo$890b3obobob3o17boo33b5o77b3o10bo$888boo11b
o16booboo30booboo77b3o9b4o$895bobbobo6bo4boo4boobb4o28b3o10bo68bo5bo3b
o3booboo$888bobbo14b3o3booboo4bo4bo27b3o9b4o71b4o5bobboo$893bo5boo10bo
3boo7boo29bo5bo3bo3booboo66bo3bo7bobbo$893boo3bobbo4bobo6boo43b4o5bobb
oo67bobobbo$897bo8b3o50bo3bo7bobbo70bo$893bo3bo62bobobbo53boo$884bobo
6bo3bo66bo54bobo9boo$885boo8boo123bo9bobbo$885bo64boo78bobbo3boo$899bo
49bobbo77booboobobbo$898bo4bo45bobbo3boo74boo3boo$898b3obbobo43booboob
obbo$905bo45boo3boo3$938b3o$936bo$936b3o3boo$937boobob3o$938bobo3bo58b
3o$937bobb5o56boo3bo$922b3o13bo4bo56bo3bobbo$892bo27boo3bo17bo56bo6boo
bo$919bo3bobbo13b3o60b3obooboo$890bobbo25bo6boobo70b3o3boboobbo$922b3o
booboo68boo$919b3o3boboobbo79bo$892boo24boo83b3o4boo$930bo73boo3b3o$
922b3o4boo73boobboo$923boo3b3o76b3o$923boobboo76bobbo$926b3o78bo$924bo
bbo$926bo107bo11bo$1032b4o9b4o$953bo11bo65boo3bo7bo3boo$951b4o9b4o60bo
bo4bo9bo4bobo$950boo3bo7bo3boo58boo3bo7bo7bo3boo$947bobo4bo9bo4bobo56b
o3boo5b3o5boo3bo$946boo3bo7bo7bo3boo57boboo4bo3bo4boobo$947bo3boo5b3o
5boo3bo56boobbo6b3o6bobboo$949boboo4bo3bo4boobo34boo26bo5b5o5bo$947boo
bbo6b3o6bobboo32bobo21bo3bobooboo3booboobo3bo$951bo5b5o5bo36bo25boo3bo
9bo3boo$947bo3bobooboo3booboobo3bo62bobboo3boobbo$917bo31boo3bo9bo3boo
$916boo35bobboo3boobbo$916bobo3$875bobo$876boo$876bo94bo$970boo$970bob
o$$878bobo$878boobb3o$879bobbo$883bo$868b4o$867bo3bo$871bo$867bobbo$
936b3o$936bo$937bo9$903boo$902boo$904bo96$901boo17boo$896bobooboo17boo
boobo$895b3obo3boo13boo3bob3o$894bo3boobobobo11boboboboo3bo$895bo3b3ob
ob3o7b3obob3o3bo$899bo3boboboo5boobobo3bo$900boobo5bo3bo5boboo$906bo9b
o$$903b3obo3bo3bob3o$905bobbooboboobbo$908bobbobbo$907boo5boo$907b4ob
4o$$905b3obooboob3o$904bo4booboo4bo$907b3o3b3o$904b4obo3bob4o$904b5o5b
5o$902boo5bo3bo5boo$$902bo5bobbobbo5bo3b3o$906bo3bobo3bo6bo3boo$910bob
o9bobbo3bo$911bo7boboo6bo91bo19bo$898b3o17booboob3o92b4o17b4o$894boboo
3bo15bobboobo3b3o85b3obo3bo15bo3bob3o$893b3o3b3obb3o3b3o16boo83bo3bobb
oboo13boobobbo3bo$892bo3bo4b3obobobb3o5bo32boo62boo3booboboo9booboboo
3boo$893bo7bo4bo3bobo5boo4b3o8boob3o7booboo5boo60bobboboboo5boobobobbo
$902boo6bobo5b3o3boo9boo4boo5boo3b3obob4o57boobobo3bo3bo3boboboo$910bo
bo7boobboo9b3obo3bobboo3bobo3bo3boo3bo56b4obo5bob4o$911bo8b3o14bob3obo
bbobbo3bobo3bo4b3ob3o52boo13boo$921bobbo6bo5boobooboobobo6bo3bobbobo6b
o52boboo7boobo$922bo7boo4bobb3obbobob3obo9bobbo3boo57bob3obo$928boobo
3boobo5bobboobbooboo68bo3bo5bo3bo$930bobbo9b4obbobbo73b3o5b3o$914bo3bo
bo12bo3boo5boo5boobobooboo3bo64booboo$919boo4boobobo9boobobbobb3o3b3o
3booboo64b3o$914bo4bo5boo14boboboo4bo3boo4bobbo61boobbobobboo$925b5o8b
5o14booboo5bobo55boobbo3bobboo$927bobbo6bobbobbo7boo4boo7b5o53boob3o3b
3oboo$933boo8bo20boobo3bo52boo11boo$929b4obb4o23boobo4bo57bo5bo$929b
10o22bo3bo57bobboobo3boboobbo$927boo10boo8bo12bobo4bo52b7o5b7o$947b4o
17b4o45boo3boob3o7b3oboo$927bo5boo5bobb3obo3bo15bo3bob3o38booboo11b3o$
931b6o5bo3bobboboo13boobobbo3bo37boobobo9booboo$943boo3booboboo9boobob
oo3boo38boobb3o8booboo$933boo13bobboboboo5boobobobbo43b3obobob3o6bo10b
oo$932b4o12boobobo3bo3bo3boboboo41boo11bo16booboo$812bo19bo93bo5bobbo
15b4obo5bob4o51bobbobo11boo4boobb4o$810b4o17b4o92bobb3obb3o13boo13boo
22b3o10bo8bobbo20booboo4bo4bo$806b3obo3bo15bo3bob3o86b3o4bobbo16boboo
7boobo14boboo3bobboboo6b3ob3o9bo5boo5b3obbo3boo7boo$805bo3bobboboo13b
oobobbo3bo116bob3obo17bobbobooboobobo6boo6bo8boo3bobbo13boo$806boo3boo
boboo9booboboo3boo113bo3bo5bo3bo6boboobboobbo3bobobbooboobbo3bobobo13b
o$745b3o17b3o43bobboboboo5boobobobbo120b3o5b3o7booboobob3obobo3bo3bobo
bbobo15bo3bo$740booboobo19bobooboo38boobobo3bo3bo3boboboo123booboo9bo
bbobobo9bo3boboboboo5boo4boo4bo3bo$740boo4boboo13boobo4boo41b4obo5bob
4o127b3o11bo6bo7b4obo3boboboo4boobboobo5boo4bo$739bobbo3bobobo11bobobo
3bobbo40boo13boo123boobbobobboo25bo11boob3obboobo9b4o$746boboboboo5boo
bobobo48boboo7boobo123boobbo3bobboo20bobo3bob3obbo4boboboboboo18bo$
744bo3boboboo5boobobo3bo50bob3obo126boob3o3b3oboo10b3obooboo3boobbo6bo
12bo12boo3bobbo$745bobobob3o5b3obobobo47bo3bo5bo3bo122boo11boo10booboo
bbo3bo7bobboboo12b3o8bo5boo$817b3o5b3o128bo5bo14b3o4bobbo3bo4b4o18bo$
749b3o9b3o56booboo126bobboobo3boboobbo4booboo4b4o5boo6boo3boo8boobbo$
749b3obobobobob3o57b3o126b7o5b7o3boo3bo5b3o13bobbobo8bobo$750b5obob5o
54boobbobobboo117boo3boob3o3bo3b3oboobbo3bob3o24bobb4obbo$755bobo58boo
bbo3bobboo103bo9booboo11bobo16boboo23bo8bo$755b3o57boob3o3b3oboo103boo
7boobobo10bobo16bo3bo26boo$752bobo3bobo54boo11boo102boo8boobb3o10bo43b
12o$819bo5bo116b3obobob3o17boo30boo10boo$750boob3ob3oboo51bobboobo3bob
oobbo109boo11bo16booboo$750bo11bo50b7o5b7o115bobbobo11boo4boobb4o29bo
bbo$749bobbo7bobbo49boob13oboo3boo103bobbo20booboo4bo4bo38bobo3bo13bo$
749bo4bo3bo4bo56bo3bo10booboo105bo5boo10bo3boo7boo29bobbo6boo3boo13boo
$754bo3bo60bo5bo8boboboo105boo3bobbo5bo7boo38bobbo7bobbobb3o3bo3b3obbo
$748b6o5b6o68b3obboo109bo7b3o65b3obobob3o$747boo7bo7boo4bo39boo17b3obo
bob3o105bo3bo6b5o46b4o18bobo$755bobo11b4o34booboo9bobo4bo11boo103bo3bo
5boo50bobbo14b3obobob3o$755b3o10bo3boo30b4obboo4boo5bo5bobobbo112boo7b
oobb3o63booboboboo$766b3o5bo28bo4bo4booboo20bobbo8bo10b3o96bo67booboo$
744bo18boo4bobo32boo7boobbo11boo5bo9b3ob3o6boobobbo3boobo156bobo$742b
4o17boo4b4obo38boo8bo4bobbo3boo8bo6boo6bobobooboobobbo129boo21boobobob
oo$738booboo3bo3bo12b4ob8o45boobo7bo13bobobo3bobbooboobbobo3bobboobboo
bo59bo59booboo22bobobobo$738boobbo5b4o22boo20boo22bo3bo7bo3bo15bobobbo
bo3bo3bobob3obobooboo56bobo56b4obbobo18booboboboboboo$737bobbo7bo3bo
10boo5bo9boob3o7booboo5boo16bobbo7bo3bo4boo4boo5boobobobo3bo9bobobobbo
56boo55bo4bo4bo15bobbobobobobobobbo$746bobbobo10bobbo3bobo8boo4boo5boo
3b3obob4o13bobo9boo5boboobboo4boobobo3bob4o7bo6bo115boo7bo14b5obobobob
ob5o$747bo7b3o5bobbobo11b3obo3bobboo3bobo3bo3boo3bo10bo17boboobb3oboo
11bo84bobo55bo13bo3bobooboboboobo3bo$758boo7b4o11bob3obobbobbo3bobo3bo
4b3ob3o24boobobobobo4bobb3obo3bobo80boo52b3o6bo11boobbobobobobboo$754b
o4bo7b4o5bo5boobooboobobo6bo3bobbobo6bo23bo12bo6bobboo3booboob3o72bo
51bo8bo16bobobobo$754bo4bo5bobbo6boo4bobb3obbobob3obo9bobbo3boo20b3o
12boobobbo7bo3bobbooboo125boboo4b3o14bobobobo$754bo3bo14boobo3boobo5bo
bboobbooboo34bo18b4o4bo3bobbo4b3o129bo17booboboboboboo$756bo18bobbo9b
4obbobbo34bo3bobboo8boo3boo6boo5b4o4booboo120boo20bobbobobobobbo$778bo
3boo5boo5boobobooboo3bo20bobo5bobo8bobobbo13b3o5bo3boo114b3obbo3bo16b
ooboboboboboboboo$770boobobo9boobobbobb3o3b3o3booboo20boo7bobb4obbo24b
3obo3bo113b3o5bo22bobobobo$770boo14boboboo4bo3boo4bobbo30bo8bo23boobo
118bo3bobbo19bo6bobo6bo$770b5o8b5o14booboo5bobo29boo26bo3bo122bobbo23b
ooboboboo$766bo5bobbo6bobbobbo7boo4boo7b5o23b12o151boo18boo5bobo5boo$
767bo10boo8bo20boobo3bo21boo10boo149b3o17bobbo4bobo4bobbo$765b3o6b4obb
4o23boobo4bo186boo18bobo3bo3bo3bobo$774b10o22bo3bo32bobbo177bobobooboo
bobo$772boo10boo21bobo6bo13bo190boobo5bo5boboo$815boo13boo11bobbo176bo
boob5oboobo$772bo5boo5bo28bobb3o3bo3b3obbo10bobbo166boo6bo5bo5bo5bo$
776b6o36b3obobob3o184bobo3boo4b3o5b3o4boo$822bobo18b4o167bo4b3obboo9b
oobb3o$749b3o11b3o12boo38b3obobob3o14bobbo174booboo9booboo$748bo17bo
10bobbo38booboboboo194bobo11bobo$749bobb3ob3ob3obbo11bobbo40booboo11bo
bo179boobobbo9bobboboo$751bobbobobobobbo13bobbo41bobo13boo179boobobob
oo5booboboboo$753booboboboo16boo39booboboboo10bo10boo169bobobo3bo3bo3b
obobo$753bobbobobbo58bobobobo22booboo168b4obo5bob4o$756bobo58boobobobo
boboo18bobobb4o165boo13boo$753bobbobobbo10bo42bobbobobobobobobbo15bo4b
o4bo165boboo7boobo$754bobobobo12boo9bo29b5obobobobob5o14bo7boo170bob3o
bo$754bobobobo11boo9b4o26bo3bobooboboboobo3bo13bo175bo3bo5bo3bo$751boo
boboboboboo18bo3booboo25boobbobobobobboo18b3o173b3o5b3o$751boobobobobo
boo18bo3bobboo29bobobobo25bo175booboo$748b3o3bobobobo3b3o13bo7bobbo28b
obobobo21boobo177b3o$747bo5booboboboo5bo12bo36booboboboboboo17bo177boo
bbobobboo$748boboobbobobobobboobo15boboo31bobbobobobobbo20boo172boobbo
3bobboo$751booboboboboboo20boo29booboboboboboboboo16bo3bobb3o165boob3o
3b3oboo$751booboboboboboo19bobo34bobobobo22bo5b3o165boo11boo$752bobobo
bobobo18boo32bo6bobo6bo13bo5bobbo3bo168bo5bo$754bobobobo21b3o34boobobo
boo18bo4bobbo167bobboobo3boboobbo$750bobobobobobobobo17bobboo3bo24boo
5bobo5boo12b3o3boo169b7o5b7o$749b3obooboboboob3o18boo3b3o22bobbo4bobo
4bobbo6boo9b3o168boob3o7b3oboo$749b5obbobobb5o17bobobbo3bo22bobo3bo3bo
3bobo6bobo9boo177b3o$753booboboboo23bobobobo25bobobooboobobo9bo188boob
oo$749boo5bobo5boo14bo4bo28boobo5bo5boboo195booboo$748bobbo4bobo4bobbo
11bobo4boo29boboob5oboobo199bo10boo$749bobobbobobobobbobo13boo4bo28bo
5bo5bo5bo208booboo$748booboo9booboo18bo26boo4b3o5b3o4boo200boo4boobb4o
$748boobobobb3obboboboo45b3obboo9boobb3o200booboo4bo4bo$814booboo9boob
oo95bo100b3obbo3boo7boo$748boo3b3o3b3o3boo48bobo11bobo96bobo107boo$
747bo19bo44boobobbo9bobboboo93boo$746boo3boo4bo4boo3boo43booboboboo5b
ooboboboo$749b3o11b3o47bobobo3bo3bo3bobobo$749bo15bo49b4obo5bob4o$746b
oobobo11boboboo46boo13boo190bo$746booboboboo5booboboboo47boboo7boobo
190boo8bo$749boboboo5boobobo54bob3obo193boo4bo3bobbo$748bobob3o5b3obob
o49bo3bo5bo3bo190b5o5boo$818b3o5b3o194b3o$750b3o9b3o56booboo$750b3obob
obobob3o57b3o$751b5obob5o54boobbobobboo186bobo$756bobo58boobbo3bobboo
182boboobo$756b3o14boo41boob3o3b3oboo180bobobobbo$753bobo3bobo10bobo
41boo11boo167bo17booboo$773bo46bo5bo169b4o11bobo3boboo$751boob3ob3oboo
51bobboobo3boboobbo163boo3bo13bo3bo$751bo11bo50b7o5b7o161bo5b3o10b3o$
750bobbo7bobbo49boob13oboo164bobo4boo10bo$750bo4bo3bo4bo56bo3bo168bob
4o4boo8bobo$755bo3bo60bo5bo166b8ob4o9bo$749b6o5b6o227boo$748boo7bo7boo
44boo185bo5boo$756bobo49booboo9bobo172bobo3bobbo$756b3o46b4obboo4boo5b
o175bobobbo$804bo4bo4booboo179b4o$745bo59boo7boobbo179b4o$743b4o67boo
8bo175bobbo$739booboo3bo3bo70boobo$739boobbo5b4o68bo3bo$738bobbo7bo3bo
68bobbo202boo9boo$747bobbobo69bobo200booboo9booboo$748bo7b3o64bo201boo
3bo7bo3boo$759boo260b3obbo15bobb3o$755bo4bo260boobb3o5b3o5b3obboo$755b
o4bo78boo180b3o9b3o9b3o$755bo3bo78bobo181bo9bo3bo9bo$757bo78bobbo183bo
bbo15bobbo$836bobo183booboo4bo5bo4booboo$836b3o187b7obob7o$1025bobobo
9bobobo$989b3o$855bo133bo$854b4o132bo$853bo3boo$851b3o5bo$848boo4bobo$
788b3o57boo4b4obo$787bo3boo55b4ob8o$786bobbo3bo65boo$783boboo6bo54boo
5bo$782booboob3o56bobbo3bobo$781bobboobo3b3o54bobbobo102boo$793boo57b
4o99boo$782bo69b4o101bo$782boo4b3o59bobbo$775bo6b3o3boo$776bo7boobboo$
776boo6b3o26boo9boo$772b5o8bobbo21booboo9booboo$772b5o9bo23boo3bo7bo3b
oo$806b3obbo15bobb3o$747bo11bo46boobb3o5b3o5b3obboo$745b4o9b4o44b3o9b
3o9b3o89boo$744boo3bo7bo3boo44bo9bo3bo9bo90bobo$741bobo4bo9bo4bobo42bo
bbo15bobbo91bo$740boo3bo7bo7bo3boo40booboo4bo5bo4booboo$741bo3boo5b3o
5boo3bo45b7obob7o31bo$743boboo4bo3bo4boobo46bobobo9bobobo30boo$741boo
bbo6b3o6bobboo92bobo$745bo5b5o5bo$741bo3bobooboo3booboobo3bo$743boo3bo
9bo3boo$747bobboo3boobbo3$807bo$807boo85bobo$806bobo85boo$895bo$890bo$
889bo$889b3o6$840b3o$842bo$841bo9$874boo$875boo$874bo72$8b3o17b3o$3boo
boobo19bobooboo$3boo4boboo13boobo4boo$bbobbo3bobobo11bobobo3bobbo$9bob
oboboo5boobobobo$7bo3boboboo5boobobo3bo$8bobobob3o5b3obobobo$$12b3o9b
3o$12b3obobobobob3o$13b5obob5o$18bobo$18b3o$15bobo3bobo$$13boob3ob3ob
oo$13bo11bo$12bobbo7bobbo$12bo4bo3bo4bo$17bo3bo$11b6o5b6o$10boo15boo$
19bo$17booboo11bo9bo$18bobo10b4o7b4o$7bo11bo7booboo3bo5bo3booboo$5b4o
18boobbo3bo5bo3bobboo$booboo3bo3bo12bobbo7bobo7bobbo$boobbo5b4o4bo14bo
bbobobbo$obbo7bo3bo3bo13b3obobob3o$9bobbobo4bo$10bo24boo3boo$35boo3boo
$35bobobobo$24bo9booboboboo$26bo7booboboboo24bo$17bobo3bo3boo8bobo12bo
boo9b4o$16bobbo3bo4bo4bo9bo7boobooboo5boo4boob4o$17boo5boobbo5bo7bo7bo
bboboboo4bo3bobobboobob3o$25bobo28boobobboob3obobo3bo5b3oboo$53boo4bo
bboboboob3o3b4obo4boo$46b3obb3o3bobbobo5bobo6boobobobobbo$45bo8bob3obo
bbobobboboo$44boo4bo3b6oboobbobbo$44boobboobboboo7b3oboo4bo6bo$42bob3o
10b3obboboo3b3ob5obobo$41boo14bobobbo5b3o3boboo4bo$40bobboo10boo5bo4b
oo4boo4bo$36bo7boo8boobbo8boo7bo5bob3o$37boo6boobboobboo4boo12bo7bobob
obo$36boo7boobboobboo19bo3boobo4bo$48bobbo26boobo$44bobbo4bobbo22bobo$
43b6obb6o$43boob8oboo94bo19bo$149b4o17b4o$145b3obo3bo15bo3bob3o$20boo
13boo12boo93bo3bobboboo13boobobbo3bo$20boobo9boboo12boo94boo3booboboo
9booboboo3boo$20b3obbobbobbobb3o11bobbo98bobboboboo5boobobobbo$22bobb
3ob3obbo13bobbo98boobobo3bo3bo3boboboo$27bobo19boo102b4obo5bob4o$23bob
obobobobo119boo13boo$23bo3bobo3bo120boboo7boobo$25bobobobo126bob3obo$
25bobobobo122bo3bo5bo3bo$24booboboboo21b3o99b3o5b3o$23bobobobobobo19bo
3boobo98booboo$22booboboboboboo18bobo3b3o98b3o$19boo4bobobobo4boo14boo
4bo3bo93boobbobobboo$19boo4bobobobo4boo13b3o7bo93boobbo3bobboo506b3o
17b3o$19bo5bobobobo5bo15bobo98boob3o3b3oboo500booboobo19bobooboo$21b3o
bobobobob3o19boo97boo11boo500boo4boboo13boobo4boo$24booboboboo20bo3bo
100bo5bo503bobbo3bobobo11bobobo3bobbo$25bobobobo21bo99bobboobo3boboobb
o505boboboboo5boobobobo$22booboboboboboo18boobo95b7o5b7o502bo3boboboo
5boobobo3bo$25bobobobo24bo4bo90boob3o3bo3b3oboo503bobobob3o5b3obobobo$
21boobbobobobobboo18b3o3bobo97bobo$20boobbobbobobbobboo22bo3bo73boo7b
oo12bobo515b3o9b3o$24booboboboo22bo3boboo71booboo7booboo10bo516b3obobo
bobob3o$20boo5bobo5boo12bobo4boo73b4obbobo5bobobb4o18boo505b5obob5o$
20boo5bobo5boo13boo78bo4bo4bo3bo4bo4bo17booboo507bobo$19bobbo3booboo3b
obbo12bo3bobbo73boo7bo3bo7boo12boo4boobb4o504b3o$22bobboo3boobbo20bobo
79b3obobob3o18booboo4bo4bo500bobo3bobo$19boobobb7obboboo99b4o3b4o17bo
3boo7boo$20bobobo7bobobo124bo7boo508boob3ob3oboo$19bob15obo101boo3boo
13b3o517bo11bo$18bo3bo4b3o4bo3bo99bobbobobbo11b5o515bobbo7bobbo$17bo4b
oobo5boboo4bo73boo24bobobobo11boo519bo4bo3bo4bo$17bobboo13boobbo66boo
5booboo7b3oboo10bobo14boobb3o518bo3bo$20bo15bo66b4obob3o3boo5boo4boo7b
ooboboboo15bo514b6o5b6o$18bobobo11bobobo60bo3boo3bo3bobo3boobbo3bob3o
7bobbobobbo529boo15boo$17boobob3o7b3oboboo55b3ob3o4bo3bobo3bobbobbob3o
bo9bobo3bobo538bo$20boboboo5boobobo57bo6bobobbo3bo6boboboobooboo5bo
526bo9bo11booboo$17boobo5bo3bo5boboo55boo3bobbo9bob3obobobb3obbo4boo
523b4o7b4o10bobo$23bo9bo76booboobboobbo5boboo3boboo517booboo3bo5bo3boo
boo7bo11bo$113bobbobb4o9bobbo519boobbo3bo5bo3bobboo18b4o$20b3obo3bo3bo
b3o64bo3boobooboboo5boo5boo3bo521bobbo7bobo7bobbo12bo3bo3booboo$22bobb
ooboboobbo65booboo3b3o3b3obbobboboo9boboboo521bobbobobbo19b4o5bobboo$
25bobbobbo69bobbo4boo3bo4boobobo14boo520b3obobob3o17bo3bo7bobbo$24boo
5boo63bobo5booboo14b5o8b5o549bobobbo$24b4ob4o62b5o7boo4boo7bobbobbo6bo
bbo524boo3boo24bo$94bo3boboo20bo8boo530boo3boo$22b3obooboob3o60bo4bob
oo23b4obb4o526bobobobo11boo$21bo4booboo4bo64bo3bo22b10o525booboboboo9b
oo4boo$24b3o3b3o68bobo21boo10boo498bo24booboboboo10boo3boo$21b4obo3bob
4o600b4o9boobo12bobo14bo3boo$21b5o5b5o89bo5boo5bo489b4oboo4boo5booboob
oo7bo9bo$19boo5bo3bo5boo91b6o490b3oboboobbobo3bo4boobobobbo7bo7bo$28bo
55boo17boo513boob3o5bo3bobob3oboobboboo$19bo7b3o7bo41bobooboo17booboob
o21boo485boo4bob4o3b3oboobobobbo4boo$23bo4bo4bo44b3obo3boo13boo3bob3o
19b4o483bobboboboboo6bobo5bobobbo3b3obb3o$77bo3boobobobo11boboboboo3bo
18bobbo6bo492boobobbobobbob3obo8bo$78bo3b3obob3o7b3obob3o3bo17b3obb3o
bboo496bobbobboob6o3bo4boo$15b3o64bo3boboboo5boobobo3bo23bobbo5boo483b
o6bo4boob3o7boobobboobboo$11boboo3bo9bo54boobo5bo3bo5boboo517bobob5ob
3o3boobobb3o10b3obo$10b3o3b3obb3o4bo60bo9bo522bo4boobo3b3o5bobbobo14b
oo$9bo3bo4b3o3bo600bo4boo4boo4bo5boo10boobbo$10bo7bo3boo62b3obo3bo3bob
3o515b3obo5bo7boo8bobboo8boo$19boo7boo58bobbooboboobbo516bobobobo7bo
12boo4boobboobboo$27boobo60bobbobbo520bo4boboo3bo19boobboobboo$26bobob
oo58boo5boo524boboo26bobbo$26b5o59b4ob4o525bobo22bobbo4bobbo$27bobo
618b6obb6o$28bo59b3obooboob3o547boob8oboo$87bo4booboo4bo$90b3o3b3o$87b
4obo3bob4o552boo12boo13boo$87b5o5b5o552boo12boobo9boboo$85boo5bo3bo5b
oo548bo4bo4bobo3b3obbobbobbobb3o$94bo557bo4bo4boo6bobb3ob3obbo$85bo7b
3o7bo548bo4bo5bo11bobo$89bo4bo4bo554boo15bobobobobobo$107b3o7b3o551bo
3bobo3bo$59boo42boboo3bo5bo3boobo549bobobobo$59booboo17b3o18b3o3bobo5b
obo3b3o548bobobobo$58boboboo13boboo3bo9bo6bo3bo4boo3boo4bo3bo522b3o21b
ooboboboo$57b3obboo12b3o3b3obb3o4bo7bo6bobooboobo6bo519boboo3bo19bobob
obobobo$53b3obobob3o11bo3bo4b3obobobbobo12bo3bobo3bo524b3o3bobo18boobo
boboboboo$52bo11boo10bo7bo4bo18bobbo3bobbo523bo3bo4boo14boo4bobobobo4b
oo$53bobobbo26boo6b3o43boo17boo483bo7b3o13boo4bobobobo4boo$62bobbo44b
oo3boo17bobooboo17booboobo484bobo15bo5bobobobo5bo$53boo5bo49bobobobo
16b3obo3boo13boo3bob3o482boo19b3obobobobob3o$46bo5bobbo3boo50booboo16b
o3boobobobo11boboboboo3bo480bo3bo20booboboboo$45bobo8bo55bobo10bobo5bo
3b3obob3o7b3obob3o3bo485bo21bobobobo$47bo8bo3bo41bo6booboboboo7boo10bo
3boboboo5boobobo3bo486boboo18booboboboboboo$43bobboo8bo3bo40boboo4bobo
3bobo8bo11boobo5bo3bo5boboo482bo4bo24bobobobo$43boobo10boo45boo38bo9bo
487bobo3b3o18boobbobobobobboo$99bo6bo534bo3bo22boobbobbobobbobboo$98bo
3b4o35b3obo3bo3bob3o484boobo3bo22booboboboo$17b3o9b3o67bo4bo38bobboobo
boobbo491boo19boo5bobo5boo$15boobobo7boboboo112bobbobbo515boo5bobo5boo
$12bobo4bo9bo4bobo108boo5boo493bobbo16bobbo3booboo3bobbo$11boboo9bo9b
oobo107b4ob4o493bobo20bobboo3boobbo$10bo3b4o5bobo5b4o3bo628boobobb7obb
oboo$13bobbo5bo3bo5bobbo107b3obooboob3o512bobobo7bobobo$11bo11b3o11bo
104bo4booboo4bo510bob15obo$13b4o15b4o109b3o3b3o512bo3bo4b3o4bo3bo$12b
4obbooboo3booboobb4o105b4obo3bob4o508bo4boobo5boboo4bo$14bo4boboo3boob
o4bo107b5o5b5o508bobboo13boobbo$17bobobo5bobobo108boo5bo3bo5boo509bo
15bo$666bobobo11bobobo$140bo5bobbobbo5bo506boobob3o7b3oboboo$144bo3bob
o3bo513boboboo5boobobo$148bobo514boobo5bo3bo5boboo$149bo521bo9bo$160b
3o$51bo19bo87bo3boobo501b3obo3bo3bob3o$49b4o17b4o74b3o3b3obb3o3b3o502b
obbooboboobbo$45b3obo3bo15bo3bob3o70b3obbobob3o4bo3bo504bobbobbo$44bo
3bobboboo13boobobbo3bo69bobo3bo4bo7bo504boo5boo$45boo3booboboo9boobob
oo3boo70bobo6boo513b4ob4o$50bobboboboo5boobobobbo75bobo$50boobobo3bo3b
o3boboboo76bo520b3obooboob3o$53b4obo5bob4o599bo4booboo4bo$53boo13boo
41boo559b3o3b3o$54boboo7boobo43boo555b4obo3bob4o$58bob3obo46bo557b5o5b
5o$54bo3bo5bo3bo598boo5bo3bo5boo$56b3o5b3o70boo537bo$59booboo72b3o528b
o7b3o7bo$60b3o74b3o531bo4bo4bo$56boobbobobboo72bo$55boobbo3bobboo$54b
oob3o3b3oboo618b3o$54boo11boo607bo9bo3boobo$58bo5bo611bo4b3obb3o3b3o$
53bobboobo3boboobbo605bobobbobob3o4bo3bo$52b7o5b7o610bo4bo7bo$52boob3o
3bo3b3oboo604b3o6boo$60bobo$60bobo12boo7boo$61bo10booboo7booboo$49boo
18b4obbobo5bobobb4o$46booboo17bo4bo4bo3bo4bo4bo575bo$43b4obboo4boo12b
oo7bo3bo7boo574boobo$42bo4bo4booboo18b3obobob3o579boo$43boo7boo3bo17b
4o3b4o578bo6bo$52boo7bo603b4o3bo$61b3o13boo3boo582bo4bo$60b5o11bobbobo
bbo$64boo11bobobobo$58b3obboo14bobo$60bo15booboboboo24boo$76bobbobobbo
8boob3o7booboo5boo526boo$76bobo3bobo8boo4boo5boo3b3obob4o520booboo$93b
3obo3bobboo3bobo3bo3boo3bo516boobobo$95bob3obobbobbo3bobo3bo4b3ob3o
512boobb3o$89bo5boobooboobobo6bo3bobbobo6bo511b3obobob3o$88boo4bobb3o
bbobob3obo9bobbo3boo510boo11bo$86boobo3boobo5bobboobbooboo532bobbobo$
88bobbo9b4obbobbo528bobbo$91bo3boo5boo5boobobooboo3bo521bo5boo$83boobo
bo9boobobbobb3o3b3o3booboo520boo3bobbo$83boo14boboboo4bo3boo4bobbo525b
o$83b5o8b5o14booboo5bobo516bo3bo$85bobbo6bobbobbo7boo4boo7b5o515bo3bo
5b3o$91boo8bo20boobo3bo516boo4boo4bo$87b4obb4o23boobo4bo523bo$87b10o
22bo3bo527bo7boo$85boo10boo21bobo528bo7boo12b3o9b3o$651bobboo3boo10boo
bobo7boboboo$85bo5boo5bo552bobobbobo9bobo4bo9bo4bobo$89b6o562bo4bo4bob
oo9bo9boobo$661bobobbo3b4o5bobo5b4o3bo$62b3o11b3o3bo8boo567boobo5bobbo
5bo3bo5bobbo$61bo17bo3boo5b4o564b3obo4bo11b3o11bo$62bobb3ob3ob3obbo3b
oo6bobbo564boo9b4o15b4o$64bobbobobobobbo11b3obb3o572b4obbooboo3booboo
bb4o$66booboboboo15bobbo576bo4boboo3boobo4bo$66bobbobobbo598bobobo5bob
obo$69bobo$66bobbobobbo$67bobobobo23bo$67bobobobo22b4o$64boobobobobob
oo18bo3booboo$64booboboboboboo18bo3bobboo$61b3o3bobobobo3b3o13bo7bobbo
$60bo5booboboboo5bo12bo$61boboobbobobobobboobo15boboo$64booboboboboboo
20boo$64booboboboboboo19bobo$65bobobobobobo18boo$67bobobobo21b3o$63bob
obobobobobobo17bobboo3bo$62b3obooboboboob3o18boo3b3o$62b5obbobobb5o17b
obobbo3bo482bo$66booboboboo23bobobobo482boo$62boo5bobo5boo19bo488bobo$
61bobbo4bobo4bobbo18boo$62bobobbobobobobbobo19bo$61booboo9booboo18bo$
61boobobobb3obboboboo$$61boo3b3o3b3o3boo$60bo19bo$59boo3boo4bo4boo3boo
$62b3o11b3o$62bo15bo$59boobobo11boboboo$59booboboboo5booboboboo$62bobo
boo5boobobo$61bobob3o5b3obobo$$63b3o9b3o8boo$63b3obobobobob3o7bobo$64b
5obob5o9bo$69bobo$69b3o$66bobo3bobo445boo$519boo$64boob3ob3oboo82bobo
359bo$64bo11bo83boo$63bobbo7bobbo82bo$63bo4bo3bo4bo$68bo3bo$62b6o5b6o$
61boo15boo$68b5o$68b5o$68booboo$58bo10b3o$56b4o9b3o$52booboo3bo3bo5bo$
52boobbo5b4o$51bobbo7bo3bo$60bobbobo3b3o$61bo$$181bo$179bobo$180boo
271bo$78boo372boo$77boobo371bobo$69bo5bo4boo$69bo4bobobboo$75bo6$101b
3o$100bo3boo$99bobbo3bo$96boboo6bo$95booboob3o$94bobboobo3b3o$106boo$
95bo$95boo4b3o$95b3o3boo$97boobboo$97b3o$98bobbo283boo$99bo284boo$386b
o$60bo11bo$58b4o9b4o$57boo3bo7bo3boo$54bobo4bo9bo4bobo$53boo3bo7bo7bo
3boo$54bo3boo5b3o5boo3bo$56boboo4bo3bo4boobo$54boobbo6b3o6bobboo$58bo
5b5o5bo$54bo3bobooboo3booboobo3bo$56boo3bo9bo3boo$60bobboo3boobbo$$
117bo$117boo$116bobo4$318bo$317boo$317bobo15$184boo$185boo$184bo4$250b
oo$249boo$251bo!

I don't know how to adjust the corners to make a complete loop, but I think it is possible.

If anyone can figure out how to complete the loop please do so.

This turning reaction is not as quick as I would like.

The reaction used by the twin bees shuttle spark, and the similar one used by a Cordership spark can turn a LWSS in only four generations. This is about as close to a 'bounce' as you can get.

I don't know how to simply build the twin bees shuttle spark, but I did extract the mechanism from the Cordership to make this.

Code: Select all

#C A fast LWSS turning reaction extracted from a reaction with a Cordership.
#C It takes four generations for the LWSS to reform.
x = 46, y = 31, rule = B3/S23
43bo$43bo$43bo5$42boboo$42b3o$43bo17$39boo$obbo35boo$4bo$o3bo$b4o!

This is expensive since it seems to need 8 or 9 gliders to make it.

Finally, here is the smallest clean quick LWSS turning object I found, but which I don't know how to construct.

Code: Select all

#C An object which turns a LWSS by 90 degrees.
#C It takes four generations for the LWSS to reform.
#C There are variations of this which also work.
x = 10, y = 7, rule = B3/S23
boo$4o$ooboobboo$bboobbobbo$5bo$5bo$6bo!

BCNU,
-dbell

Game of Life Fun · December 10th, 2025, 4:08 pm

dbell wrote: December 10th, 2025, 4:15 am Here is a LWSS turning reaction based on the one used in the solifuge spaceship.

Code: Select all

#C Four gliders can turn a LWSS by 90 degrees.
#C This shows the reaction both with and without an incoming LWSS.
#C Two of the gliders are used to create a glider close to another one.
#C The forth glider is used for cleanup.  It takes 13 generations for
#C the new LWSS to form.
x = 140, y = 28, rule = B3/S23
8bobo99bobo$9boo100boo$9bo101bo4$11bobo99bobo$11boobb3o95boobb3o$12bo
bbo98bobbo$16bo101bo$b4o$o3bo$4bo$obbo12$36boo100boo$35boo100boo$37bo
101bo!

Mayby this reaction could be helpful:

Code: Select all

x = 38, y = 19, rule = B3/S23
bo$2bo$3o7$7b3o2b2o$9bob2o$8bo4bo4$34b2o$33b2ob2o$34b4o$35b2o!

Game of Life Fun wrote: March 18th, 2025, 5:56 pm Herschel reflects LWSS. Known?
Code: Select all
x = 10, y = 8, rule = B3/S23
b3o$bo$3o$7b3o$6bo2bo$9bo$9bo$6bobo! [[ Z 13 ]]

Post by **Sokwe** » December 11th, 2025, 1:15 am

I confirmed with WLS 0.63 that the only (2,0)c/4 ships up to a single-phase height of 6 are strings of interacting LWSSs and MWSSs along with this ship:

Code: Select all

x = 23, y = 6, rule = B3/S23
7b3o3b3o$bo4bo2bo3bo2bo4bo$3o3bo3bobo3bo3b3o$ob2obo2bobobobo2bob2obo$b
8o5b8o$b2o3b4o3b4o3b2o!

I have also completed the following (1,0)c/5 minimal single-phase width searches with LLSSS:

(1,0)c/5 width 9: 0 ships
(1,0)c/5 odd-symmetric width 15: 0 ships
(1,0)c/5 even-symmetric width 16: 0 ships
(1,0)c/5 gutter-symmetric width 17: 0 ships

There are known examples at logical width 1 greater than those of the above completed searches (I also confirmed that the symmetric ships have minimal length among all such examples):

Code: Select all

x = 94, y = 48, rule = B3/S23
5bobo17b2obob2o23b2o19bo15bo$3b2o2b2o16b2obob2o23b2o18b2o15b2o$3b2o2bo
16bo7bo20bob2obo16bo2bo11bo2bo$3b2o2bobo13b3obobob3o17b3o4b3o18bo9bo$
4b2o3bo12b5o3b5o13b2o12b2o14bo2b2o3b2o2bo$3b5obo11b2o11b2o12b2o2bob4ob
o2b2o16bo2bobo2bo$2b4obo12b3obobo3bobob3o15bobo2bobo22bo3bo$2bobo2b3o
14bo2bobo2bo48b2o3b2o$4bobobo11b2obo2b2ob2o2bob2o14b2o6b2o21bo3bo$4bo
2b2o12b2o4bobo4b2o12b6o4b6o16bobo3bobo$5bo18bo2bobo2bo15bobo10bobo17bo
5bo$2o3bo2bo12bo3bobobobo3bo12bob2o8b2obo$2o5bo13bo3bobobobo3bo12bob2o
8b2obo18b2ob2o$2o3bob2o13b2o3bobo3b2o12b2ob2o8b2ob2o15b2obobob2o$3bob
4o14bo2bo3bo2bo13b2obo10bob2o13b2obobobobob2o$3b2o17bo3bo3bo3bo13bobo
10bobo17bobobobo$4bo16bo13bo14bo2b2o2b2o2bo21bobo$4bo4bo10bo3b3o3b3o3b
o12bo4bo2bo4bo16b2o2bobo2b2o$3b2obob2o11bo3bobobobo3bo19b2o22bob3ob3ob
o$4bo18bo2b2ob2o2bo20bo2bo21b4o3b4o$6bobo14b2o2b3o2b2o46bo7bo$2b2o3bo
14bob2o5b2obo15b4o4b4o16bo11bo$bo2bo17b3o2b3o2b3o12b3o2b2ob2ob2o2b3o
11bobo11bobo$2bo19b3o7b3o14bo5b2o5bo13bobo11bobo$5bo18b3o3b3o14b2obob
3o2b3obob2o12b4o7b4o$4b2ob2o18bobo19b3o3b2o3b3o16bobo5bobo$b2o4b2o13b
3o2bobo2b3o14bo12bo18bo5bo$b2o4b3o11bo13bo15b2o2b2o2b2o16bo13bo$7bo13b
obob2o3b2obobo15b10o16bo13bo$2bo19b2o9b2o16bob2o2b2obo15bo2b2o7b2o2bo$
bobo19b2o2bobo2b2o19bo4bo20b2o7b2o$3bo21bobobobo22bo2bo21b2o7b2o$bo19b
o3bo5bo3bo16bobo2bobo18b2o9b2o$b5o14bob2obo5bob2obo14b2ob4ob2o17bobo7b
obo$4b2o14bo3bo7bo3bo14b2ob4ob2o19bo7bo$3bo17b2obob2ob2obob2o16bo6bo
21bo5bo$4b3o44b3o4b3o19bo7bo$5b2o42bobo8bobo18b2o3b2o$48bo14bo$48b2ob
2o6b2ob2o$51b2o6b2o$50b2ob6ob2o$48b2obo8bob2o$52bo6bo3$52b8o$52b2o4b2o
!

Aleph · Post by **Aleph** » December 14th, 2025, 12:13 am

sylvie's 6-wide high clearance hivenudger 2:

Code: Select all

x = 23, y = 42, rule = B3/S23
6bo12bo$5b3o10b3o$5bob2o8b2obo$6b3o8b3o$6b3o8b3o$6b3o8b3o$8b4o2b4o$9b
3o2b3o$9b3o2b3o2$9bob4obo$11b4o$8b2obo2bob2o$6b2ob2o4b2ob2o$5bo2bo8bo
2bo$5bo2bo8bo2bo$4b2ob2o8b2ob2o$3b3o2b2o6b2o2b3o$5bo14bo$3b2o16b2o$4b
2obo10bob2o$5bo2bo8bo2bo2$4bo2bo10bo2bo2$4b2o14b2o$3bo18bo$6b3o8b3o$3b
2o3bo8bo3b2o2$8b2o6b2o$10bo4bo$8bobo4bobo$11bo2bo$7b3ob4ob3o$7b12o3$b
2o$obo8b4o$2bo8b4o$11b4o!

For comparison, the classic hivenudger backend (in Symbiosis since I'm too lazy to fire up JLS for an actual frontend right now):

Code: Select all

x = 29, y = 30, rule = Symbiosis
20.A$16.2A.3A$14.2A.A3.2A$14.A4.A2.2A$13.2A.A5.A$11.2A.A7.2A$12.A7.A.
A.2A$9.2A.A.2A3.2A.A.A$9.2A.A5.A3.A.A.2A$9.A2.A.A7.A3.2A$8.2A.A6.2A3.
A.3A$10.2A.A13.2A$8.2A4.A$9.2A2.A$10.A$9.A3.2A$12.A2.A$2.B6.4A8.B$.3B
4.A3.A.2A4.3B$2B.B16.B.2B$3B5.2A.2A.A6.3B$.2B18.2B$7.10B$5.2B10.2B$6.
B10.B$3.B3.10B3.B$2.3B14.3B$2.B.2B12.2B.B$3.3B12.3B$3.2B14.2B!

hotcrystal0 · Post by **hotcrystal0** » December 14th, 2025, 10:10 am

wwei47 wrote: December 14th, 2025, 12:13 am For comparison, the classic hivenudger backend (in Symbiosis since I'm too lazy to fire up JLS for an actual frontend right now):
Code: Select all
x = 29, y = 30, rule = Symbiosis
20.A$16.2A.3A$14.2A.A3.2A$14.A4.A2.2A$13.2A.A5.A$11.2A.A7.2A$12.A7.A.
A.2A$9.2A.A.2A3.2A.A.A$9.2A.A5.A3.A.A.2A$9.A2.A.A7.A3.2A$8.2A.A6.2A3.
A.3A$10.2A.A13.2A$8.2A4.A$9.2A2.A$10.A$9.A3.2A$12.A2.A$2.B6.4A8.B$.3B
4.A3.A.2A4.3B$2B.B16.B.2B$3B5.2A.2A.A6.3B$.2B18.2B$7.10B$5.2B10.2B$6.
B10.B$3.B3.10B3.B$2.3B14.3B$2.B.2B12.2B.B$3.3B12.3B$3.2B14.2B!

You can make it even wider and it’ll work in regular Life:

Code: Select all

x = 30, y = 30, rule = B3/S23
21bo$17b2ob3o$15b2obo3b2o$15bo4bo2b2o$14b2obo5bo$12b2obo7b2o$13bo7bob
ob2o$10b2obob2o3b2obobo$10b2obo5bo3bobob2o$10bo2bobo7bo3b2o$9b2obo6b2o
3bob3o$11b2obo13b2o$9b2o4bo$10b2o2bo$11bo$10bo3b2o$13bo2bo$2bo7b4o8bo
$b3o5bo3bob2o4b3o$2obo17bob2o$3o6b2ob2obo6b3o$b2o19b2o$7b11o$5b2o11b2o
$6bo11bo$3bo3b11o3bo$2b3o15b3o$2bob2o13b2obo$3b3o13b3o$3b2o15b2o!

C_R_116 · Post by **C_R_116** » December 14th, 2025, 4:59 pm

Knightwise "wave minstrel" that connects to a wandering minstrel:

Code: Select all

x = 69, y = 180, rule = B3/S23
5bo$4b4o$3bo2b2o$7bo$3bo5bo3bo$2b4o4b3obo$2bo3bo4bo$bob3o5bo2b2o$4bo6b
5o$4obo2b2o2bobo$2b2o2bo5b4o$2b2o3bo3bo3bo$11b5o$9b3o3bo2bo$13b3obobo
$11bo$10b3obo4bo$10bo4b3o$11b2o3b2obo$11bo4b4o$12bobo2bo$11b3obo3bo$12b
2o5b2o$12b3o3b2obo$12b3o3b2o2bo$12bo2bo3bob2o$13bo$13bo3bo$16b2o$11b3o
b3o$11b2obo$11b2o3bo3bo$13b4obob2obo$13bo3b2ob5o$21bo$20b2ob2o$21b3o$
24bo$20bo4b2o$20bo5b3o$20bo5b3o$21b3o$19b5o$19bo5bob2o$18bob2ob4ob2o$
26bo$21bo2bo2b2o$22b2o$22b3o$20bo$20b5o$19bo$19b2ob2o$18bo4b2o$18bobo
$17b2o$17b2ob3ob2o$17b2o4bo3bo$18b2o5bo2bo$24bo$25b2o2bo$24b5o$22bo2$
22b2o$21b2o5b3o$21b2ob3o2b2o$23bobo$27bob2o$23bo3bob2o$23bo3bobo$23bo
5bo$23bo3bob2o$24bo$25b3o2$25bo$12bo12bo4bo$11b4o10bob2ob2o$10bo2b2o16b
2o$14bo14b2obobo$10bo5bo3bo9b2o3bo$9b4o4b3obo8bo3b2o$9bo3bo4bo15bo$8b
ob3o5bo2b2o9bo3bo$11bo6b5o9bo3bo$7b4obo2b2o2bobo14b2o$9b2o2bo5b4o10b2o
2b3o$9b2o3bo3bo3bo10bo2bobo$18b5o10bo$16b3o3bo2bo7bo7bo$20b3obobo7b3o
3bo$18bo16b2o4bob2o$17b3obo4bo9b3o3b2obo$17bo4b3o9bo2bo5bobo$18b2o3b2o
bo8b2o$18bo4b4o13b2o$19bobo2bo13bobo$18b3obo3bo10bo$19b2o5b2o12bo$19b
3o3b2obo7bo3bo$19b3o3b2o2bo6bo3bo$19bo2bo3bob2o10bo$20bo16bo2bo3b2o$20b
o3bo14bo4bo$23b2o19bo2bo$18b3ob3o20bo2bo$18b2obo24bob2o$18b2o3bo3bo19b
o2bo$20b4obob2obo14b3o3bo$20bo3b2ob5o14bo5bo$28bo17bo$27b2ob2o15bo3bo
$28b3o18b2o$31bo$27bo4b2o17b4o$27bo5b3o15b3obo$27bo5b3o17b4o$28b3o21b
5o$26b5o24bobo$26bo5bob2o17bo2bo$25bob2ob4ob2o15b5o2b3o$33bo18b2obo3b
2obo$28bo2bo2b2o17bob2ob3obo$29b2o23b2obobo$29b3o24b2obo$27bo29bo$27b
5o26bo$26bo31b2o$26b2ob2o$25bo4b2o26b4o$25bobo30b2o2bo$24b2o31bo5bo2b
o$24b2ob3ob2o25bo4bobobo$24b2o4bo3bo22b2obobo2bobo$25b2o5bo2bo22b2o7b
o$31bo26b2o5b3o$32b2o2bo22b4o$31b5o24bobo$29bo$65b3o$29b2o30b4o2bo$28b
2o5b3o24bo3bobo$28b2ob3o2b2o$30bobo31b2o$34bob2o26b2o$30bo3bob2o22b3o
$30bo3bobo22bo2bo$30bo5bo22bo$30bo3bob2o17b3o2bo$31bo22bo2bo$32b3o19b
o$50b3o2bo$32bo16bo2bo$32bo4bo11bo$32bob2ob2o6b3o2bo$38b2o4bo2bo$36b2o
bobo2bo$37b2o3bo2bo$37bo3b2o$41bo$39bo3bo$39bo3bo$43b2o$40b2o2b3o$40b
o2bobo$40bo$40bo7bo$41b3o3bo$42b2o4bob2o$43b3o3b2obo$41bo2bo5bobo$42b
2o$47b2o$45bobo$44bo$47bo$47bo$44bo2bo$46bo!

EDIT by dvgrn:: I'm thinking this might need an update to the Knightwave article, which shows the wave connecting from lightweight to lightweight minstrel, and from lightweight to heavyweight, but not from "wave minstrel" to wandering minstrel. EDIT2: But isn't the above left-hand connection really just a standard connection to lightweight/heavyweight minstrel, not to a wandering minstrel?

EDIT3: attempting to de-confuse the identification a bit: this "wave minstrel" starts out with a Sir Robin attached to a wandering minstrel, with a new attachment that ends in the forward end of a knightwave. That's the northeast end of the knightwave in this case. The other end of the knightwave -- southwest end in this case -- can attach as usual to a lightweight or heavyweight minstrel.

The "new minstrel" (see below) also starts from a Sir Robin with an appended wandering minstrel, but it's a different connection point.

dbell · Post by **dbell** » December 20th, 2025, 9:07 am

Today I noticed an old interaction between a blinker and a fleet which shifts the fleet by two cells.

Here is the basic reaction.

Code: Select all

#C A blinker shifts a fleet diagonally by two cells.
#C The blinker here is created by the collision of two gliders.
x = 10, y = 21, rule = B3/S23
4boo$3bobo$3boo$boo$obo5boo$oo5bobo$7boo$5boo$4bobo$4boo7$6b3o$6bo$bb
oo3bo$bobo$3bo!

The LifeWiki shows several oscillators which repeat this reaction to shuffle a fleet back and forth (https://conwaylife.com/wiki/Fleet_hasslers).

I thought it might be interesting to create an object which continually shifts a fleet in the same direction.

Code: Select all

#C A diagonal growing spaceship which repeatedly pulls a fleet.
#C The front end moves at c/12, whereas the back end moves at c/124.
#C This uses two period 96 backward rakes and a period 192 backward
#C rake to create a salvo of five gliders which pulls a block by
#C two cells and creates a blinker which shifts a fleet by two cells.
#C The shift happens every 248 generations.
#C David I. Bell, 21 December 2025
x = 438, y = 372, rule = B3/S23
68bo$67bobo32b3o$66booboo31b3o$66boo16boo17bo$72boo9bobbo17boo$66b3obb
o12bobbo17bo$70boboo30bo$68bobbo$71bo11bo35bo$69boo11boo3bo31bo4bobo$
83bo3boo13boo15bo3bobbo$69bo13boboboo3boo8boo19bo3bo$67booboo11bo3boo
3boo9bo15boobbooboo$70bo13b3o35bo3bo$67bo16b3o35bobo$56bo12bo50boboboo
5bo$55boo63boobboo4bobo$54b5o59boobo8bobo$53bo29bo36bo10bo$52boo5bo12b
oo8b3o35boo$51b3oboo15boo11bo$52boboboobboo20booboo$53bobbobboo20boob
oo$55boo25boboo46bo$57boobo18b4obbo47boo$41b3o6bo9bo17bob6o46boo$40bo
4bo3bobo27bo3boo12boo$40bo4boo3bo47boo$40bo6bo49bo$41b3obobbobo$45b5o$
50bo$24bo97b3o6bo$24bo96bo4bo3bobo$24bo96bo4boo3bo$28bo92bo6bo$24b3obb
o92b3obobbobo$23bo4bo66b3o6bo21b5o$23bo3bo66bo4bo3bobo25bo$24b3o11bobb
o52bo4boo3bo$3o35bobbo52bo6bo40bo$43bo51b3obobbobo37bo$4boo17bobo12b4o
bo21boo32b5o38bo$6bo10b3o3bobo12boobobo22boo36bo10boo$4obo11bo5bobo39b
o49boo$5o18bobo52bo$24boo51bobo$17bobbo56bobboo$obo14boboo54b7o68bo$ob
o14bobbo53bobbo3bo6boo60bo$bo15bobo25boo9bo16b3obb7o3boo60bo$obo14b3o
25boo8b3o17b3obbo28boo11boo$boo51bobobo17booboo14boob3o7boo11bobo$bo
52bobobo18b3obobbo11booboo8bo13bo$55b3o20b3oboo12boobobo10bo$56bo24bo
17boboo7b3o$98b5o3bo3b3o45bo$61bo35b3o6bo51bo$16bo44bo25boo9bobo57bo$
14booboo54b3o6bo4boo10boo$14b3oboo52bo4bo3bobo$15b5o52bo4boo3bo26boo$
5boo9b3o53bo6bo29boo$5boo10bo55b3obobbobo$77b5o84bo$82bo72bo10bo$147b
3o3b4o9bo$147bobo3booboo$119bo27b3obbo$119bo32boo3bo$13boo106bo5bo25b
4o$13boo105bo6bobo24b3o$119bo3bobbo40bo6bo$120bobboboboo37bobo5bo$77b
oo46boboo37bobbo4bo$77b4o5boboo49boo26boo$75boob3o5bo3bobo46boo$75boo
3boo10bobbo$75boobobo9bob3obo$80bo5bobo5bobo$77b3o15bo6b3o70bo6bo$102b
3o7boo60bobo5bo$101bo3bo6boo60bobbo4bo$102boob3o11b3obbo50boo$102boo4b
o10b4obo6boo$81boo22bobbo13bo21boo$81boo23boo15bobo7boo8bobo$124boo3bo
4boo9bo50bo$134bo48bo6bo6boo$130b4o48bobo5bo5boo$97bo13boo10boo7bo49bo
bbo4bo$97bo13boo10boo58boo$99bo5bo$98bo6bobo25boo55b3o$97bo3bobbo28boo
$98bobboboboo$103boboo91bo$173bo24bo$143b3o26b3o12boo9bo$143bobbo24boo
boo10bo$146bo25b3o12boo$143boo15boo11bo24b3o$142bobo15boo11bobo5boo$
143bobb3o24b4o4boo$144boobbo27bo29bo$144bo3bo57bo$130bo7bo6bobo10bobo
11booboo29bo$106boo3bo17b3o5bobo7bo12bo10bo5bo$104b3o4boo15boob4obbobb
o3bobbo16bo7bo3bo$99b3obo8boo5bo9b3obbo9bo13b3o7boo3bo32b3o$103bobobb
5o5bobo9bobboobbo21boo7boo$104bo3b3o7bobo13boobobo3boobbo11boo$119bo
18bo5b3o13boo28bo23bo$161bo28bo23bo$114boo76bo5bo15bo$141boo16bo31bo6b
obo$115boo15boo7boo15b3o29bo3bobbo$105boo9bo15boo23booboo29bobboboboo
14b3o$105boo49bo4bo34boboo$156b4obbo47boo$121b3o33boo4bo46boo10bo$121b
obbo97bo$124bo36bobo58bo$121boo$120bobo$121bobb3o95b3o$122boobbo59bo$
122bo3bo45boo7boobbobo30boo$123bobo46b3o6b4o3bo29boo10bo$125bo46boobob
o7bo44bo$122bobbo49boo10boboo39bo$122bo64bobo$188bo26bo$121boobbo10bo
77boo14b3o$122b3o12bo$135bobo73bobbo$135b3o73bobbo23bo$140boo64bo4b3o
24bo$142bo64bo30bo$134boo4boo63boboo$134boo69bo3bo$201boobo33b3o$196b
oo4boobbobbo$126boo57bo10bo11bo$126boo49boo6bo5bo3bobbo$177boo12bobbo
3boo$161bo28bobo4bob3o$159booboo29boobobboo$162boo35boo$159b3o15boo20b
oo$161bo3bo10bobbo19bo25bo$160bo3bo60boo33bo$161b3obo19boo37bobo34boo$
163boo20boo73boo$162bobo10boo$163bo11b3obboo$162boo12bo$161b3o11boo5bo
bboo$161boboo11bo4bo3boo70bo$160b5o11bo81bo$177bobo52bo23b3o$146bo30bo
52booboo$145bobo29boo51booboo$145bobboo80boo$143b7o26booboo51boobo$
142bobbo3bo27boboo24bo27bobbo$141b3obb7o22bobo3bo11bo9booboo25bobbo$
143b3obbo26bo3b3o11boo8booboo26boo$144booboo26boobo4bo8bobo8boo$145b3o
bobbo28bobbo20boobo39bo$146b3oboo29bobo22bobbo38bo$149bo32boo22bobbo
38bo$177bobobo25boo12boo$178boo41boo$178boo$172b3obboo$170boobobooboo
25bo$172booboobo9bobo13boboo48bo$175b5o8bobobo9bo53bo$176b4o7bobboobo
11bobo48bo$173bo4bo9boo3bobobo3bobbobo$173b5o10boo3booboo3bo5bo$152boo
38boboo5bobbooboo$152boo12bo24bobo8bo3boobo11b3o$164booboo36b3oboo9bob
3o$165bobbo33bo3b4o13bobo38bo$166boo36booboo15boo38bo$183bo9boo8bo17bo
bbo39bo$181booboo7boo26b3o$181booboo36bo$160boo19boo32boo72bo$160boo
21boobo28boo36bo36bo$184bobbo64b3o33b3o$184bobbo63booboo16bo$185boo65b
3o16bobo$253bo17bobo$253bobo16bo$226bo26b4o$224booboo27bo$183b3o29bo
10bo41booboo$214b3o24boo9booboo12bob3o$183bobo27booboo22bobbo7bo5bo11b
oboo7bo$184bo27boobobo9boo11booboo7bo3bo10boobboo6bobo$185bo25b3obb3o
7bobbo11bo11bo17boo6bobo$185boo10b3o12bo6bo5boo3bo10b3o36bo$182boboobo
9bobo13b5obo5bo4bo19boo$182b4oboo8boobo13b4oboo4bo3bo20boo$183b5o11bo
19bo6bobbo$185boo11b3o17bo8bo$197bobbo69bo17bo$198boo43bo25b3o15bobo$
223boo14bo3bo43bobo$214boo7boo15bobbo25b3o16bo$214boo24booboo25booboo$
187boo52bobo28bo$187boo53bo43boo36bo$249boo35boo37boo$296bo27boo$243b
oo50bobo$204bo11boo24bobbo24bo24bobo$202booboo8bobbo24boo24bobo24bo$
204bo9boobbo51bo$215booboo101bo$215boo3bobboo44boo23boo26bo$205boo11bo
bobboo43bobo23boo24b3o$204bobbo11boo66bo16bo$203boo3bo59b3obobo11bo16b
obo$203bo4bo63b3o11boboo13bobo$203bo3bo50bobo11boo14boo14bo$204bobbo
49bobbo24bobboo$205bo15boo35bobo24bobo$219boobo51boo10boo14boo$221bo
52boo8bobo15boo$217boo7boo32bo23boo26bo$218boo6boo31boboo48bobo$219b3o
13bobo21boboo48bobo$235b3o20bo3bo24boo23bo$235boo15bo6b4o24boo$252bo6b
3o$208boo41bo58boo$208boo28bo13boo56boo$236bobo12bobbo33bobo29bo$236b
3o12bobo34b3o28bobo$239bo48boo15bo13bobo$235b5o12bo25bo26bo14bo$250bo
bbo23b3o24bo$251b4o21boobbo10bo13boo$253boo20boobboo8bobo12bobbo10boo$
251bo24boo11b3o12bobo11boo$250boo25b5o10bo20boo13bo$250bobbo27boo5b5o
12bo7boo12bobo$251b3o25bobbo20bobbo20bobo$252bo27boo22b4o20bo$306boo$
304bo48bo$240boo44boo15boo21boo26bo$240boo35boo7boo15bobbo19boo24b3o$
277boo25b3o29bo$305bo6bo22bobo$313bo21bobo$311bobo22bo$312bo$306boo$
248boo16bobo10boo24bobbo25boo$248boo16b3o10boo25boo26boo$266boo11bobo
62bo$279b3o61bobo$279bobbo3boo55bobo$269bo11bobobboo56bo$267bobo12boo$
267b3o$270bo71boo$266b5o71boo7boo$350bobo$284boo64bo$283bobbo62b4o$
281b3o64boobbo$281boo3bobboo57bobbo$284bo4boo58b3o$282bobo103bo$283bo
58bobo44boo$342bobo43boo$221bo121bo$220boo49boo$219b5o47boo$218bo19bo
138bo$217boo5bo13bo108boo29boo5bo$216b3oboo8bobo5bo107bobo28boo7bo$
217boboboobboo3bobo48bo66bo5bo29b3o$210b3o5bobbobboo5bo49bobo69boo$
210b3o7boo59boo37b3o29bobbo$211bo10boobo20boo74bo28boobo$212boo11bo12b
3o5boo73bo29boobo$213bo22boobbo109bobbo$212bo24b3o22bo12bobo73b3o$238b
o23b4o9bobbo72boo$262bo3bo7bo3bo$219boo53bo3bo$210boo7boo43b3o83bo$
210boo62bobbo72bo7bo$350bo5b3o$235bo5boo106boo3bobo$233boo7boo71boo38b
obbo$241boo10b3o58bobo37bobboo$199bo40boo12bo61bo52boo$198boo12boo26bo
13bobbo111boo$197b5o10boo4bo35bobbo30b3o141boo$196bo21b3o34bobo32bo
140bobo$195boo5bo16boo68bo141boo$194b3oboo10boboo5boo208boo$195boboboo
bboo6booboobbo209bobo5boo$196bobbobboo6boobboo129bo82boo5bobo$198boo
14bo39bo76bobo6bobb4o30boo56boo$200boobo10b4o35bobo74bo9bob4o31boo54b
oo$203bo10boobbo35bo76bobbo6b3o3boo83bobo$214boobbo114b3o9bobboo82boo$
215b3o128boboo$216bo35b4o91bo25boo34bo$252boo3bo25boo88boo35boo5bo$
222boo29bo4bo23bobo88boo34boo7bo$222boo31boboo6bo18bo131b3o$256bo8bobo
101boobbo$265boo103b3o$366boo3bo44boo$219boo145boo48boo$204boo14bobo
140b3obo$204boo16bo137booboo$216bo3boo39bo93boo3b3o$215bo3boo40bo92boo
$216b3o42bo74boo16bob3o$336boo11b3o4bo$350booboobo3bo$352bo$211bobo
143bobbo$211bobo37boo104bo$199boobo47bobo105boo$198b3obo6bobbo39bo$
197bo4bobo4bo134boo$198boo6bobo3bo131boo$199bo3bobbobboo$202boboo3bo$
201bobo$201bobo5$187bo$186bobo$185booboo$185boo32boo$191boo25bobo$185b
3obbo29bo$189boboo$187bobbo$190bo$188boo$$188bo$186booboo10bo$189bo10b
o$186bo13b3o$188bo7$194bo$194bo$194bo!

BCNU,
-dbell

I had briefly changed 21 December to 20 December. I have changed it back to what was originally posted; I did not realize which time zone you lived in. --hotdogPi

C_R_116 · Post by **C_R_116** » December 21st, 2025, 2:18 am

New minstrel:

Code: Select all

#C completed spaceship: xq6_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
#C Catagolue URL: https://catagolue.hatsya.com/object/xq6_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
#C breadth = 10
#CLL state-numbering golly
x = 121, y = 265, rule = B3/S23
5bo$4b4o$3bo2b2o$7bo$3bo5bo3bo$2b4o4b3obo$2bo3bo4bo$bob3o5bo2b2o$
4bo6b5o$4obo2b2o2bobo$2b2o2bo5b4o$2b2o3bo3bo3bo$11b5o$9b3o3bo2bo$
13b3obobo$11bo$10b3obo4bo$10bo4b3o$11b2o3b2obo$11bo4b4o$12bobo2bo$
11b3obo3bo$12b2o5b2o$12b3o3b2obo$12b3o3b2o2bo$12bo2bo3bob2o$13bo$
13bo3bo$16b2o$11b3ob3o$11b2obo$11b2o3bo3bo$13b4obob2obo$13bo3b2ob
5o$21bo$20b2ob2o$21b3o$24bo$20bo4b2o$20bo5b3o$20bo5b3o$21b3o$19b5o
$19bo5bob2o$18bob2ob4ob2o$26bo$21bo2bo2b2o$22b2o$22b3o$20bo$20b5o$
19bo$19b2ob2o$18bo4b2o$18bobo$17b2o$17b2ob3ob2o$17b2o4bo3bo$18b2o
5bo2bo$24bo$25b2o2bo$24b5o$22bo2$22b2o$21b2o5b3o$21b2ob3o2b2o$23bo
bo$27bob2o$23bo3bob2o$23bo3bobo$23bo5bo$23bo3bob2o$24bo$25b3o2$25b
o$25bo4bo$25bob2ob2o$31b2o$29b2obobo$30b2o3bo$30bo3b2o$34bo$32bo3b
o$32bo3bo$36b2o$33b2o2b3o$33bo2bobo$33bo$33bo7bo$34b3o3bo$35b2o4bo
b2o$36b3o3b2obo$34bo2bo5bobo$35b2o$40b2o$38bobo$37bo$40bo$36bo3bo$
36bo3bo$40bo$37bo2bo3b2o$39bo4bo$44bo2bo$45bo2bo$46bob2o$47bo2bo$
45b3o3bo$46bo5bo$46bo$47bo3bo$49b2o2$49b3o$49bobo$48bo$50bobo$47b
2obobo$49bobo$49b2o$50bo2bo$51b2obo$54bo$50bobobo$53bob2o$54b3o$
57bo$56b2o$56b4o$58b2o$57bo2bo$57bo$55bo3bo$55b2o2bo$58bo2bo$55bo
2bo3b2o$55bo3b3o$58b2obo$58b3o4$60b3o$60b2o2$61b2o$59b2o$59b3o$59b
o2bobo$59bob2obob2o$59b2o5b2o$62bobo$59bo6b2o$59bo3b2o$60bobo2b3o$
65b2o$64bo$63bo3bo$64bo3bo$64bo2bo$67b2o$64b2obobo$69bo$67bob2o$
66bo$65b2o$64b2o$65bobo$65b2o$66bob2o2$64bo4bo$63b2ob3o$63b3o$63b
2o2$68b4o$67bob2ob3o$66b2o2bo2b3o$67b3o5bo$67b3o6bo$69bo6b2o2$78bo
$78bo$78b2o$79bo4b2o$80b4ob5o$82bobob4o$88b2o$85bo$85bo3b2o$89b2o$
90bo2$90b3o2$90bobo$89b2obo$90bo2$93b2ob3o$92b3o$92b2o4bo$94bo2bo$
93bobob2o$92b3o3bo$98b2o$92b2o4bobo$97bob2o$96b2obo$95b3obo$94b2o
3bobo$99bob2o$94b2obobo3bo$95bobobo2bo2$95bo$95bo$95bo2bo$96bobo$
97bob3o2b2o$97bo2b2o4bo$98bo8bo$98bob3o3bo$102bobobo$99bo$99bobo2$
102b2o$102b3o$103bo3b3o$107b3o$106bo$106bo$105b2obo$104b3o2b2o$
106bo2b2o$107bobobo2b2o$106b4obo2b2o$106bob2o3bobo$107bo2bo2bo$
111bo2bo$112bo3bo$116bobo$115bo$113bobo$111b2ob2ob2o$112bo4b2o$
112b2o3bo$112bo2bobo$114bo$115bobo$115b2o$114bobo2$116b3o$115b2ob
2o$114b2o2b3o$114b3o2b2o$115b2o2$117bo!

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