B2-ak5j/S12-k and related rules

[speedydelete]

This rule has been discussed a lot on the Discord server but not on the forums until now. Interesting common objects are 2 c/4 ships, a c/5 ship, a c/6 ship, and a p10 oscillator.

There is some interesting circuitry, such as:

Code: Select all

x = 32, y = 40, rule = B2-ak5j/S12-k
18b2o$16bo5bo$16b2o4bo$20bo$20b2o$10bo$10bo$8bo$8b2o3$29b2o$29bo$31bo
$b2o28bo$4bo22b2o$3b2o22bo$o28b2o$o17bo$2bo16b2o$b2o$15b2o10b2o$16bo10b
o$29bo$3b2o24bo$6bo18b2o$5b2o18bo$2bo24b2o$2bo$4bo$3b2o5$10b2o$11bo$9b
o4b2o$9bo5bo$12b2o!

However, LuveelVoom has found a smaller gun:

Code: Select all

x = 19, y = 25, rule = B2-ak5j/S12-k
13bo$14bo$14bo$14bo$15bo3$10bo$10b2o$o$o$2bo3b2o$b2o5bo$15b3o4$b3o$16b
2o$16bo$18bo$13bo4bo$7b2o4bo$8bo4bo$5b2o!

There are various rakes and puffers at https://catagolue.hatsya.com/census/b2- ... kpx2_stdin.

[Aleph]

Assorted c/5d stuff:
2c/10d domino puffer:

Code: Select all

x = 42, y = 54, rule = B2-ak5j/S12-k
2b2o2$o6b2o$ob2o$2bo2bo$2bo$4bobo4bobo$3bobob2o2bo$4bo2bo3bo$8bo$13bo
$4b2o$9bo$6b3o4bobo$11bobo3bobo$9b2o4bobo$15bo3bo$10bob2obo3bo$14bo2b
o$21bo$25bo$15bobo3bobo3b2o$15bo$25bo$21b4o2$21bo3bo2$25bo$bobo21b2ob
2o$2o23b2ob2o$3bo20bo2bo$o2bo4bo14bo2bo4b2o$6bo4bo11bo2bo2bo3b3o$5b2o
bo2bo17bo7bo$2b2o6bo2bo16bo3bo2bo$9bo3bo16bobo2bobo$2bo4bo22bo2bo5bo$
7b3o2b2o25bobo$9bo21b3o4bo$5bobobo3bobob2o17bo4bo$5bo3bo7bo5bobo8b2o$
12bo2b2o5b2o$12bo5bo6bo9bobo$14b3obobo3bobo2b2o$13bo3bo2bob3obo5b2o$13b
obo13b2ob2o$13bo$24b2o$27bo$24bo7bobo$31b2o2$31bo!

3c/15 domino puffers, preblock puffer, and backrakes:

Code: Select all

x = 243, y = 46, rule = B2-ak5j/S12-k
13bobo31b2o32b2o15bobo46bobo50bo$12b2o32bo17bobo13bo16b2o47b2o51bo$18b
obo10bobo11bo6b2o9b2o14bo6b2o12bo51bobo43b2o5bo$12bob2o2bo11b2o13bob2o
2bo14bo12bob2o2bo11bo2bo4bo40bob2o2bo44bo6bo$33bo29bo2bo4bo31bo4bo90b
3o2bo$2b2o13bo5b2o5bo2bo4bo8bo9bo11bo4bo6bo9bo10b2obo2bo42bo5b2o40bo2b
o$bo14b2o18bo4bo7bobo4bo11b2obo2bo8bobo4bo8b2o6bo2bo39b2o51bo5b2o$o6b
2o11b2obo11b2obo2bo6bo4bo2bo8b2o6bo2bo5bo4bo2bo15bo3bo43b2obo44b2o$ob
2o2bo8bobo3bo10b2o6bo2bo4b3o3bobo15bo3bo5b3o3bobo8bo4bo44bobo3bo48bob
2o$19bob4o14bo3bo8b2o3bo7bo4bo15b2o3bo12b3o2b2o19b2o21bob4o43bo3bo$2b
o15bo13bo4bo32b3o2b2o29bo22bo22bo49bo2bobob2o$4bobo9b2o19b3o2b2o5b2o21b
o10b2o17bobobo3bobob2o12bo6b2o13b2o52b3o$3bo16b2o17bo12b3o13bobobo3bo
bob2o4b3o13bo3bo7bo13bob2o2bo20bo3b2o41bobo$3b3o29bobobo3bobob2o2bo16b
o3bo7bo4bo23bo2b2o38b2obobo4b3o42bo3b2o$20bo14bo3bo7bo3bobo21bo2b2o5b
obo21bo5bo14bo9bo20bo42b2obo7b2o$8bobo7b3o21bo2b2o5bo22bo5bo4bo24b3ob
obobo12bobo4bo17bobobobo42bo2bo$9bo3b2o27bo5bo28b3obobo26bo3bo2bo13bo
4bo2bo19bobo49bobo$16bo27b3obobo25bo3bo29bobo18b3o3bobo17b2o3bo45bo$6b
obo4b2o28bo3bo28bobo4b2o25bo24b2o3bo16bo2b2o47bo4bo$5b2o7bob2o25bobo4b
2o24bo35bo2b2o48b2o42bo2bobo$11b2o30bo37bo30bo2bobo3b2o9b2o83b2o$5bo4b
o5bob2o28bo32bo46bobo4b3o27bo50bo$9bo38bo68bobobo5b2o5bo25bo3b2o51bo$
9bo4b2o105bo12bobo22bob3o5bobo39b2o4bo4bo9b2o$119bo2bobo2bo7bo22b2o5b
obobo11b2o31bo6bo9bo$12bo6b2o97bo2bo6b3o26bo6bo2bo12bo28bobo5bobobo8b
o6b2o$12bo105b2o4bo4bo3bo29bo3bo2bo8bo6b2o21bo5b3obo10bob2o2bo$17bo112b
o32bo2b2o2bo2b2o4bob2o2bo31bo4bo$17bo100bo96bo2b2o2bo2b2o5bo9bo$131bo
33b2obob2obo7bo9bo24bo17bobo4bo$130bo2bo31bo3bo2bo10bobo4bo26b4o4bo7b
o4bo2bo$129b2o39bobo9bo4bo2bo26bob2o12b3o3bobo$128bo40bo12b3o3bobo29b
obobo12b2o3bo$170b3o13b2o3bo29bo3bo$177b2o42bob2o9b2o$172bobo8b2o44b2o
6b3o$171bo5bo8b3o34b3o2bo7bo$170b2o2b2o2b2o5bo43bo6bobo$169bo15bobo33b
obo2b2obobo5bo$181bo4bo34bo10bo$182bo50b2o$181bo2bo47bobo$233b2o$178b
2o52bo$177bo2bo48bo2bo$229bo2bo!

4c/20d spaceship and siderake:

Code: Select all

x = 62, y = 54, rule = B2-ak5j/S12-k
3bo16bobo$2bo16b2o$b2o5bo16bobo$o6bo11bob2o2bo$2b3o2bo$2bo2bo18bo5b2o
$6bo5b2o9b2o$5b2o20b2obo$7bob2o11bobo3bo$5bo3bo16bob4o$5bo2bobob2o11b
o$7b3o13b2o$5bobo20bo3b2o$25b2obobo4b3o$34bo$30bobobobob2o$32bobo$5b2o
23b2o3bo$30bo2b2o3b2o$3bo34bo$3bo30b2o3bobo$44b2obo$34bo6bobobo2$39bo
b2obo$39bo3bo2$43bo2bo$46bo$22b2o21bo$21bo$20bo2bobo16b2o5b2o$20bo2bo
3b2o12bo2bo2bo2bo$26bobo2bo15b2o4b2o$28bo2bo20bo3bo$23bo2bo6bo16bo2b2o
bo$22bo6bo3bo15bobo$22bo4bobo19bobo3b2o$28bo3b2obo17bo2bo$33bo16b2ob2o
2b5o$26b3o5b2ob2o16bo3bo$25bo3bo5bobo6b2o9bo$33b2o8bo11b2o$32bo5bo3bo
12bo$34b3ob3obobobo2b2o4bo$40bo2bo2bo2bo2bo$34b2o14bo2bo$33bo$45bo$44b
ob2o$44bo8b2o$52bo$51bo$51bo!

5c/25d domino puffer:

Code: Select all

x = 33, y = 25, rule = B2-ak5j/S12-k
bobo18b2o$2o19bo$3bo16bo6b2o$o2bo4bo11bob2o2bo$6bo4bo$5b2obo2bo10bo9b
o$2b2o6bo2bo10bobo4bo$9bo3bo9bo4bo2bo$2bo4bo15b3o3bobo$7b3o2b2o13b2o3b
o$9bo$5bobobo3bobob2o5b2o$5bo3bo7bo9b3o$12bo2b2o9bo$12bo5bo7bobo$14b3o
bo2b2o4bo$13bo3bo6b2o$13bobo5b2ob2o$13bo3$24bobo$23b2o2$23bo!

8c/40d double line of 3 puffer:

Code: Select all

x = 34, y = 26, rule = B2-ak5j/S12-k
23bo$bobo18bo$2o19b2o5bo$3bo16bo6bo$o2bo4bo13b3o2bo$6bo4bo10bo2bo$5b2o
bo2bo14bo5b2o$2b2o6bo2bo11b2o$9bo3bo13bob2o$2bo4bo17bo3bo$7b3o2b2o11b
o2bobob2o$9bo17b3o$5bobobo3bobob2o6bob2o$5bo3bo7bo11b2o$12bo2b2o11bo$
12bo5bo10bo$14b3obo2b2o4bobo$13bo3bo6b2o$13bobo5b2ob2o$13bo3$24bobo$23b
2o2$23bo!

EDIT: More 3c/15d backrakes and a reduction to one of the other 3c/15d puffers

[WhiteHawk]

Weird signal transmitter up a chain of pre-blocks

Code: Select all

x = 39, y = 29, rule = B2-ak5j/S12-k
2b2o20bo$23bo$obob2o16b2o5bo$o20bo6bo$6bobo2bo11b3o2bo$4b2obob3o11bo2b
o$27bo5b2o$2bobo3bo3bobo11b2o$2bo4bo20bob2o$8bo6bo10bo3bo$8bob2obob2o
9bo2bobob2o$7bo2b2o5bo10b3o$6bo3bo6bobo6bobo$6bo3bo3bo2bo$13bo$13bob3o
$21bobo$15bo2b4o2bo6bo$14bo5b2o2bo5b2o$14bo9bo$25bo7b2o$25b2o6bo2$23b
obo$23bo13b2o$36bo2$38bo$36b2o!

EDIT: Two-way

Code: Select all

x = 52, y = 52, rule = B2-ak5j/S12-k
2b2o20bo$23bo$obob2o16b2o5bo$o20bo6bo$6bobo2bo11b3o2bo$4b2obob3o11bo2b
o$27bo5b2o$2bobo3bo3bobo11b2o$2bo4bo20bob2o$8bo6bo10bo3bo$8bob2obob2o
9bo2bobob2o$7bo2b2o5bo10b3o$6bo3bo6bobo6bobo$6bo3bo3bo2bo$13bo$13bob3o
$21bobo$15bo2b4o2bo6bo9bo3bo$14bo5b2o2bo5b2o9bo3bo$14bo9bo$25bo7b2o6b
obo$25b2o6bo6bob2o$40b2o7bo$23bobo13b2o2bo3b2o$23bo20b2o$30bo8bob2obo
bo$28bob2o15bo$32b3o12bo3bo$27b2o6bo10b2ob2o$49bo$33b3o12bo$33b2o$34b
o4bo$34bo$36bob3o$36bo4bo$34bobo4b2o$32b2o4bo5bo$36b2o3bo$44bo$40b2o4b
2o$38b4o4bo$46bo$41b2obo2bo$40bo2bo2bo$38b2o7bo$46bo2bo$44bobo2bo$51b
o$43b2o4bobo2$48b2o!

[Aleph]

The longest c/3 partial I've seen from ikpx2 at logical width<=26:

Code: Select all

#C depth = 92
#C breadth = 50
#CLL state-numbering golly
x = 52, y = 40, rule = B2-ak5j/S12-k
19bo12bo$18bobo10bobo$12b3o7bobo2bobo7b3o$14bob2ob3o2bo2bo2b3ob2ob
o$10bobo5bobo4b2o4bobo5bobo$10bo9bo3bo2bo3bo9bo$25b2o$12bo3bobobob
o6bobobobo3bo$11bobo4bo3bo6bo3bo4bobo$10b2o4bob2o2bo6bo2b2obo4b2o$
9bo4bo22bo4bo$16bobo2b4o2b4o2bobo$8bobo5bobobobo6bobobobo5bobo$16b
obobobobo2bobobobobo$6b3o7bobo14bobo7b3o$8bo3bo3bobo3bo6bo3bobo3bo
3bo$4bobo4bobo4bo14bo4bobo4bobo$4bo5b2o4bobo14bobo4b2o5bo$9bo4bo3b
o14bo3bo4bo$6bo2bo6bobob3o6b3obobo6bo2bo$5bobobo3bo2bo5bo6bo5bo2bo
3bobobo$4b2o6bobobo18bobobo6b2o$3bo4bo2b2o4bobo4bo2bo4bobo4b2o2bo
4bo$10bo5bo3bo4b2o4bo3bo5bo$2bobo12bob2obo6bob2obo12bobo$9bobo10bo
6bo10bobo$4b3o38b3o$6bo4b3o24b3o4bo$2bobo8bo24bo8bobo$2bo5b2obo28b
ob2o5bo$7bobo5b4o14b4o5bobo$2bo11bo3bo14bo3bo11bo$8bo2bo2bobo18bob
o2bo2bo$3bobo4bobobo5bo10bo5bobobo4bobo$3b2o3bobo8bobo8bobo8bobo3b
2o$2bo5bo4bo4b2o12b2o4bo4bo5bo$3o4bo7bobo16bobo7bo4b3o$o5bo8bo6bob
o2bobo6bo8bo5bo$2bobo3bobo5bo6b2o2b2o6bo5bobo3bobo$o3bo8b2o2bo2bo
3bo2bo3bo2bo2b2o8bo3bo!

I genuinely think that this might be a problem for LLSSS.

[Aleph]

Any chance of searching for c/3 in B2-ak5j/S12-k? I've exhausted logical width 26 in ikpx2. It should be a fairly "straightforward" search, except that any solutions seem to be stupidly wide, similar to the situation with c/3 in B3/S12. This is the longest partial I was able to get from ikpx2:

Code: Select all

#C depth = 92
#C breadth = 50
#CLL state-numbering golly
x = 52, y = 40, rule = B2-ak5j/S12-k
19bo12bo$18bobo10bobo$12b3o7bobo2bobo7b3o$14bob2ob3o2bo2bo2b3ob2ob
o$10bobo5bobo4b2o4bobo5bobo$10bo9bo3bo2bo3bo9bo$25b2o$12bo3bobobob
o6bobobobo3bo$11bobo4bo3bo6bo3bo4bobo$10b2o4bob2o2bo6bo2b2obo4b2o$
9bo4bo22bo4bo$16bobo2b4o2b4o2bobo$8bobo5bobobobo6bobobobo5bobo$16b
obobobobo2bobobobobo$6b3o7bobo14bobo7b3o$8bo3bo3bobo3bo6bo3bobo3bo
3bo$4bobo4bobo4bo14bo4bobo4bobo$4bo5b2o4bobo14bobo4b2o5bo$9bo4bo3b
o14bo3bo4bo$6bo2bo6bobob3o6b3obobo6bo2bo$5bobobo3bo2bo5bo6bo5bo2bo
3bobobo$4b2o6bobobo18bobobo6b2o$3bo4bo2b2o4bobo4bo2bo4bobo4b2o2bo
4bo$10bo5bo3bo4b2o4bo3bo5bo$2bobo12bob2obo6bob2obo12bobo$9bobo10bo
6bo10bobo$4b3o38b3o$6bo4b3o24b3o4bo$2bobo8bo24bo8bobo$2bo5b2obo28b
ob2o5bo$7bobo5b4o14b4o5bobo$2bo11bo3bo14bo3bo11bo$8bo2bo2bobo18bob
o2bo2bo$3bobo4bobobo5bo10bo5bobobo4bobo$3b2o3bobo8bobo8bobo8bobo3b
2o$2bo5bo4bo4b2o12b2o4bo4bo5bo$3o4bo7bobo16bobo7bo4b3o$o5bo8bo6bob
o2bobo6bo8bo5bo$2bobo3bobo5bo6b2o2b2o6bo5bobo3bobo$o3bo8b2o2bo2bo
3bo2bo3bo2bo2b2o8bo3bo!

[amling]

Any chance of searching for c/3 in B2-ak5j/S12-k?

The f2b partials looked baaaad to my eyes and seemed like they were expanding width linearly with depth achieved. An unlimited width s2s search completes almost immediately with no results:

Code: Select all

$ rlife llsss-recentering-wao --rule 'B2-ak5j/S12-k' c3-s2s '@bg' XX
...
20251008 16:12:33 [INFO] Thinnest partial:
20251008 16:12:33 [INFO] | ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ | ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ | ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ |
20251008 16:12:33 [INFO] | ......................................... | ......................................... | ......................................... |
20251008 16:12:33 [INFO] | ......................................... | ......................................... | ......................................... |
20251008 16:12:33 [INFO] | ......................................... | .......*................................. | .......*................................. |
20251008 16:12:33 [INFO] | .....**.*...*..**...*..*................. | .....***....*...*...**................... | .....*..........****..*.................. |
20251008 16:12:33 [INFO] | ..........**.**......*...***............. | .......*..*......*.*..*...**............. | ....*..*.**.**.*.*....*...*.............. |
20251008 16:12:33 [INFO] | ...*.*......*...*...*****.....**......... | ...*.....*..*...*..*........**..*........ | ...**....*..*..***.*...*.*...*..*........ |
20251008 16:12:33 [INFO] | ...*....*......*...*.*..*....*..*........ | ....*...*..*...*........*.......*........ | ..*.....*..**.....*.*...**....*.......... |
20251008 16:12:33 [INFO] | ...**...*.*..*..***.*.......**......*.... | ...**.....*....*.*...*...*...*...*..*.... | ...*...*.*..*..*.........*...******...... |
20251008 16:12:33 [INFO] | .........*.........*......**......*.*.... | .....*..****...........*......*...*...... | .....*..........*......*..*.*...*..*..... |
20251008 16:12:33 [INFO] | ....*.......*.......***.**.*...*...*..... | ........***.......**.**.*..*..**..****... | ....***.........**.***.....**.**..*...... |
20251008 16:12:33 [INFO] | .........*....*..*......*.....*.......*.. | .....*...*....**.*......*...*........**.. | ...*.*....*.*....*.....*....*....*..*.... |
20251008 16:12:33 [INFO] | ......*...**...*..**......*..**...**.*... | ..*.**...*.*.**.*....*.**.*.......**..*.. |                                           |
...
20251008 16:12:33 [INFO] LlsssStepExpandRecentering: max pre-reify estimated mem: 7.37 MB
20251008 16:12:33 [INFO] Finish: search proper -> took 885.203273ms (4.17137s user, 1.055798s sys)
...
20251008 16:12:33 [INFO] Total: 1.040334674s (5.330768s user, 1.059653s sys)
20251008 16:12:33 [INFO] Done
$

[yujh]

c/3o wave:

Code: Select all

x = 244, y = 30, rule = B2-ak5j/S12-k
19bo12bo34bo12bo34bo12bo34bo12bo34bo12bo$18bobo10bobo32bobo10bobo32bob
o10bobo32bobo10bobo32bobo10bobo$12b3o7bobo2bobo7b3o20b3o7bobo2bobo7b3o
20b3o7bobo2bobo7b3o20b3o7bobo2bobo7b3o20b3o7bobo2bobo7b3o$14bob2ob3o2b
o2bo2b3ob2obo24bob2ob3o2bo2bo2b3ob2obo24bob2ob3o2bo2bo2b3ob2obo24bob2o
b3o2bo2bo2b3ob2obo24bob2ob3o2bo2bo2b3ob2obo$10bobo5bobo4b2o4bobo5bobo
16bobo5bobo4b2o4bobo5bobo16bobo5bobo4b2o4bobo5bobo16bobo5bobo4b2o4bobo
5bobo16bobo5bobo4b2o4bobo5bobo$10bo9bo3bo2bo3bo9bo16bo9bo3bo2bo3bo9bo
16bo9bo3bo2bo3bo9bo16bo9bo3bo2bo3bo9bo16bo9bo3bo2bo3bo9bo$25b2o46b2o
46b2o46b2o46b2o$12bo3bobobobo6bobobobo3bo20bo3bobobobo6bobobobo3bo20bo
3bobobobo6bobobobo3bo20bo3bobobobo6bobobobo3bo20bo3bobobobo6bobobobo3b
o$11bobo4bo3bo6bo3bo4bobo18bobo4bo3bo6bo3bo4bobo18bobo4bo3bo6bo3bo4bob
o18bobo4bo3bo6bo3bo4bobo18bobo4bo3bo6bo3bo4bobo$10b2o4bob2o2bo6bo2b2ob
o4b2o16b2o4bob2o2bo6bo2b2obo4b2o16b2o4bob2o2bo6bo2b2obo4b2o16b2o4bob2o
2bo6bo2b2obo4b2o16b2o4bob2o2bo6bo2b2obo4b2o$9bo4bo22bo4bo14bo4bo22bo4b
o14bo4bo22bo4bo14bo4bo22bo4bo14bo4bo22bo4bo$16bobo2b4o2b4o2bobo28bobo
2b4o2b4o2bobo28bobo2b4o2b4o2bobo28bobo2b4o2b4o2bobo28bobo2b4o2b4o2bobo
$8bobo5bobobobo6bobobobo5bobo12bobo5bobobobo6bobobobo5bobo12bobo5bobob
obo6bobobobo5bobo12bobo5bobobobo6bobobobo5bobo12bobo5bobobobo6bobobobo
5bobo$16bobobobobo2bobobobobo28bobobobobo2bobobobobo28bobobobobo2bobob
obobo28bobobobobo2bobobobobo28bobobobobo2bobobobobo$9bo6bo3bo10bo3bo6b
o14bo6bo3bo10bo3bo6bo14bo6bo3bo10bo3bo6bo14bo6bo3bo10bo3bo6bo14bo6bo3b
o10bo3bo6bo$8bobo5bo2b2obo6bob2o2bo5bobo12bobo5bo2b2obo6bob2o2bo5bobo
12bobo5bo2b2obo6bob2o2bo5bobo12bobo5bo2b2obo6bob2o2bo5bobo12bobo5bo2b
2obo6bob2o2bo5bobo$7b2o13bo6bo13b2o10b2o13bo6bo13b2o10b2o13bo6bo13b2o
10b2o13bo6bo13b2o10b2o13bo6bo13b2o$6bo5bo2b2o2b2obo6bob2o2b2o2bo5bo8bo
5bo2b2o2b2obo6bob2o2b2o2bo5bo8bo5bo2b2o2b2obo6bob2o2b2o2bo5bo8bo5bo2b
2o2b2obo6bob2o2b2o2bo5bo8bo5bo2b2o2b2obo6bob2o2b2o2bo5bo$13b2o7bo6bo7b
2o22b2o7bo6bo7b2o22b2o7bo6bo7b2o22b2o7bo6bo7b2o22b2o7bo6bo7b2o$5bobo2b
o3bobo2b2obo6bob2o2bobo3bo2bobo6bobo2bo3bobo2b2obo6bob2o2bobo3bo2bobo
6bobo2bo3bobo2b2obo6bob2o2bobo3bo2bobo6bobo2bo3bobo2b2obo6bob2o2bobo3b
o2bobo6bobo2bo3bobo2b2obo6bob2o2bobo3bo2bobo$9b2obo26bob2o14b2obo26bob
2o14b2obo26bob2o14b2obo26bob2o14b2obo26bob2o$6bo5bobo6b4o2b4o6bobo5bo
8bo5bobo6b4o2b4o6bobo5bo8bo5bobo6b4o2b4o6bobo5bo8bo5bobo6b4o2b4o6bobo
5bo8bo5bobo6b4o2b4o6bobo5bo$5bobo4bobo7bo6bo7bobo4bobo6bobo4bobo7bo6bo
7bobo4bobo6bobo4bobo7bo6bo7bobo4bobo6bobo4bobo7bo6bo7bobo4bobo6bobo4bo
bo7bo6bo7bobo4bobo$7bo4bobo7bobo2bobo7bobo4bo10bo4bobo7bobo2bobo7bobo
4bo10bo4bobo7bobo2bobo7bobo4bo10bo4bobo7bobo2bobo7bobo4bo10bo4bobo7bob
o2bobo7bobo4bo$o2bo8bobo22bobo8bo2bo8bobo22bobo8bo2bo8bobo22bobo8bo2bo
8bobo22bobo8bo2bo8bobo22bobo8bo2bo$b2o11bo7bo6bo7bo11b2o11bo7bo6bo7bo
11b2o11bo7bo6bo7bo11b2o11bo7bo6bo7bo11b2o11bo7bo6bo7bo11b2o$5bo6bo4bob
o12bobo4bo6bo6bo6bo4bobo12bobo4bo6bo6bo6bo4bobo12bobo4bo6bo6bo6bo4bobo
12bobo4bo6bo6bo6bo4bobo12bobo4bo6bo$5bobobo4b2ob2o14b2ob2o4bobobo6bobo
bo4b2ob2o14b2ob2o4bobobo6bobobo4b2ob2o14b2ob2o4bobobo6bobobo4b2ob2o14b
2ob2o4bobobo6bobobo4b2ob2o14b2ob2o4bobobo$7b2o7bo18bo7b2o10b2o7bo18bo
7b2o10b2o7bo18bo7b2o10b2o7bo18bo7b2o10b2o7bo18bo7b2o$6bo38bo8bo38bo8bo
38bo8bo38bo8bo38bo!

[Aleph]

c/3o wave:

It is genuinely painful to see how close c/3 is to existing. This makes me wonder what other c/3 waves might exist.

The f2b partials looked baaaad to my eyes and seemed like they were expanding width linearly with depth achieved. An unlimited width s2s search completes almost immediately with no results:

I apologize for bugging you about this stuff again: Do you mind also attempting c/2 (almost definitely impossible), and c/4 (looking really bad in RLS right now)?

[LuveelVoom]

c/7o is the first orthogonal speed with viable partials in RLS...

[Aleph]

c/7o is the first orthogonal speed with viable partials in RLS...

That is so strange. Diagonal motion seems to be so natural in this rule and yet this rule hates anything orthogonal like the metaphorical plague. In fact, I would like to point out that c/4, c/5, and c/6 are all slower than their diagonal counterparts; I have never seen a case where a slower speed is impossible but where a faster speed is possible, except for some edge cases like c/3 versus c/3d in seeds. Anyways, here are partials for c/7d and c/8d:

Code: Select all

x = 34, y = 34, rule = B2-ak5j/S12-k
11b2o$10bo$9bo2bobo$7bobobob2o$6b2o4bo2bo$9bo4b2ob2o$4bobo3bo2b3o$3b2o
5bobobo$16b2o$2b2obo8bo2bobo$bo4b2o$o2bo13b3o$obobo2bo9bo$3bo2bo8b2o2b
obo$2b2ob3obo4bo4bo$4b3o6bo5bobob2o$8bo4bo8bo$5bo2b2ob2o11bo4b2o$5bo5b
o8bo2bo$9bobob3o5bo2b2o$18bo5bo3bob2o$13bobo3bobo5bo2b3o$16bo11bobo2b
o$15bo2bo5b2o4bobo$15bobob2o2b3ob2o2bo$19bo3b2o4bo3bo$29b5o$21bo2bo3b
o$20bobobo2b2o$17bo7b2o$17bo2b4o2bo$20b2o2bobo$21bobo2bo$22bo2b2o!

Code: Select all

x = 28, y = 28, rule = B2-ak5j/S12-k
9b3o$11bo$9bobo$9bo$8bo$9b2o$8bo3b2o2$4bobobobobo7b2o$ob2obo6bo6bo$o4b
o2bo2bo2bo7b2o$3o7bo4b2o2bobo2bo$6bob2o7bob2o4b2o$6bo6b5o3bo4b2o$10bo
2b2o2bob2o2b2obo$11bobobo5bo$11bobo3b4o$12b3obo5bo$16bo3bo$9bob2obobo
2bo$8bo3bobobobobo$8bo2bobobo$10bo6bo$10bo3bo$11bo2bo$12bo$12b3o$13bo
!

[LuveelVoom]

glider to signal to glider (with consumed object, can it be restored?)

Code: Select all

x = 22, y = 17, rule = B2-ak5j/S12-k
6b2o$6bo2$o8b2o$bo7bo$bo$12b2o$12bo2$15b2o$15bo2$18b2o$18bo2$21bo$21b
o!

[amling]

Do you mind also attempting c/2 (almost definitely impossible), and c/4 (looking really bad in RLS right now)?

I'm curious if there is a reason you can't run these yourself instead of waiting/hoping for me to get around to it.

c/2 finishes instantly with no results (both f2b and s2s work, but b2f hits an almost half plane). 2c/4, 3c/6, and 4c/8 also all finish pretty quickly f2b. 2c/5 f2b finishes in about a minute.

Neither f2b nor s2s c/4 finished within 60 GB of memory. A little poking around in limited searches finds partials at least as long as (odd):

Code: Select all

|                                       |                                       |                                       | ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ |
| ..................................... | ..................................... | ..................................... | ..................................... |
| ..................................... | ..................................... | ..................................... | ..................................... |
| *.................................... | *.................................... | ..................................... | .*................................... |
| .**.................................. | ..*.................................. | *.*.................................. | *.*.......*.......................... |
| ..*.......*.......................... | *.*.................................. | *.*......*.*......................... | *.......**.**........................ |
| ........*...*........................ | *.......*.*.*........................ | *..*....*.*.*........................ | .*.**...*...*........................ |
| .****...*.*.*........................ | ....*...*.*.*........................ | **..*.....*.......................... | ....*................................ |
| *.*.*.....*.......................... | *...*..*..*..*....................... | ***...**.*.*.**...................... | ......****.****...................... |
| ......*.......*...................... | .*.*..*..***..*...................... | .***..........*...................... | ........*.*.*.*...................... |
| .....*....*...*...................... | .....**..****........................ | *.*.................................. | *...*................................ |
| *****....*.*.*....................... | .....*...*.***....................... | .....*.......*....................... | .*.*...*............................. |
| .***...........*..................... | ..........*....**.................... | ....***.*.......*.................... | ....*.***...***.*.................... |
| *...***.....*.*.*.................... | *....*...*...**.*.................... | .........**..*..*.................... | ...*....*.*..*..*.................... |
| ...*...**.*.......................... | .............*....................... | **..***......*....................... | **..***....*...*..................... |
| **.*.**..***...*..................... | *....*.........*.*................... | ............*...***.................. | ............**..*.*.................. |
| ..*........*.*.**.*.................. | ...........*......*.................. | *.................*.................. | *..*.*.*.........**.................. |
| *..*.*.**.......*.*.................. | *.***.***.....*.*.................... | *.*.*.*.*......**.................... | *...*.*.*..*......................... |
| *.......*.***......*................. | *...*.*.*.*.*....***................. | *...*.*.*.*.*..**.**..*.............. | *...*.*...*.*.....*...*.............. |
| *...........*.........**............. | *..........**........*.*............. | *.....*..**.*...*...**.......*....... | *....*.*..*...*........*.....*....... |
| *.........*...*..***.*.*............. | *.....*..........*****......*.*...... | *....***.....*...**...*....**.**..... | *....*.*.....*....*...*....*...*..... |
| *....*.*..............*..***.*.*..... | *....*.*....*.......***....*.*.*..... | *..........**..*.............*.*..... | *..........*.*.*........*.*..*.*..... |
| ......*....*.*.*.*......*.*..*.*..... | .....****..*.**.*....*.....*.....*... | ........*.......*......*.*.......**.. | **......***....**........*..**....*.. |
| .*.......*.**.......*...***.*...*.*.. | ****.*.....*.**.*.......*.*.**..*.*.. | *....*...*...............**..*.**.*.. | .....***.......**..*.*........**..*.. |
| ..*.*.............*****........*..*.. | ..**......*..*.*..*...*....*...*..... | ......*..***....*.*.*.*..***......... | **..*.*.........*.*...*.............. |
| .*............*.*.*...*..........*... | ***.**...*....*...**.**.......*.*.... | *....*..*...**..*.*...*...*...*.*.... | *..**...*....*......*...*...*.*.*.... |
| ....*...*.*..**.....*.......*..***... | ..*.*...*.**...*....*......***....... | .**.*.*....*.....*..*..*...*..**..... | ..*.....**.*..*.**...*.....**....*... |
| **...**..*.*..**..**.......*.*.**.... | *......**......*..*.....*..*......... | ....*.*.*....*.....****.**..*..*..*.. |                                       |

It certainly doesn't look healthy, but it's big enough and not quite sick enough to make me optimistic about getting a c/4 negative proof through.

[speedydelete]

Diagonal lightspeed receiver (diagonal wire independently discovered by several people):

Code: Select all

x = 52, y = 70, rule = B2-ak5j/S12-k
23bo$24b2o7$18b2o$18bo2$21b2o$21bo2$24b2o$24bo2$27b2o$20b2o5bo$18bo5b
o$18b2o4bo5b2o$22bo7bo$22b2o$33b2o$33bo2$36b2o$36bo$42bo$39b2obo$42bo
4$b2o$4bo14b2o$3b2o11bo5bo$o15bo4b2o$o17bo$2bo14b2o$b2o$31b2o$31bo17b
2o$33bo13bo$33bo13b2o$51bo$20b2o29bo$21bo27bo$6b2o41b2o$7bo$5bo$5bo$8b
2o$9bo$6b2o$16b2o$16bo$12b2o4bo$12bo5bo$14b2o4$32b2o$32bo$28b2o4bo9b2o
$28bo5bo9bo$30b2o8b2o4bo$40bo5bo$42b2o!

It's nice how the eater lines up just right to eat the glider from the 2g-to-2g reaction.
Since you can use this reaction with reflector outputs, it probably has a lot of other uses.
The reaction also retimes the outputs, which makes it even more useful.

Edit: small reduction

Code: Select all

x = 48, y = 67, rule = B2-ak5j/S12-k
21bo$22b2o7$16b2o$16bo2$19b2o$19bo2$22b2o$22bo2$25b2o$25bo$22bo$22bo5b
2o$15bo4bo7bo$15bo4b2o$15bo15b2o$31bo2$34b2o$34bo$40bo$37b2obo$40bo3$
o$o$2bo$b2o11bo$14bo$16bo4bo$15b2o4bo$21bo$b3o25b2o16bo$29bo17bo$31bo
13bo$31bo13b2o2$18b2o$19bo$4b2o$5bo38b3o$3bo$3bo$6b2o$7bo$4b2o$14b2o$
14bo$10b2o4bo$10bo5bo$12b2o3$25bo$25bo4b2o$25bo4bo$32bo$32bo!

Edit 2: has weird overclocking behavior

Code: Select all

x = 48, y = 77, rule = B2-ak5j/S12-k
31bo$32b2o9$21bo$22b2o7$16b2o$16bo2$19b2o$19bo2$22b2o$22bo2$25b2o$25b
o$22bo$22bo5b2o$15bo4bo7bo$15bo4b2o$15bo15b2o$31bo2$34b2o$34bo$40bo$37b
2obo$40bo3$o$o$2bo$b2o11bo$14bo$16bo4bo$15b2o4bo$21bo$b3o25b2o16bo$29b
o17bo$31bo13bo$31bo13b2o2$18b2o$19bo$4b2o$5bo38b3o$3bo$3bo$6b2o$7bo$4b
2o$14b2o$14bo$10b2o4bo$10bo5bo$12b2o3$25bo$25bo4b2o$25bo4bo$32bo$32bo
!

[Aleph]

Um

Code: Select all

x = 20, y = 19, rule = B2-ak5j/S12-kHistory
.A2$2A5$15.A$15.A2$9.2A3.3A$9.A2$12.C$12.C3.2A$10.A5.A$11.A6.2A$9.A$9.
A!

So I guess this P6 exists now I guess.

Code: Select all

x = 12, y = 12, rule = B2-ak5j/S12-k
7bo$o6bo$o$2bo3b3o$b2o2$4bo$4bo4bo$2bo5bo$3bo6b2o$bo$bo!

[silversmith]

Code: Select all

x = 20, y = 19, rule = B2-ak5j/S12-kHistory
.A2$2A5$15.A$15.A2$9.2A3.3A$9.A2$12.C$12.C3.2A$10.A5.A$11.A6.2A$9.A$9.
A!

This partial inspired me to try an LLS search, which found a solution with a repeat time of 20 ticks.

Code: Select all

x = 24, y = 23, rule = B2-ak5j/S12-kHistory
2.C$C.C4$7.C$5.C.C8.2A2$14.A.A$14.A.A$14.A.A.2A$11.2A.A$11.A2.A3.A$18.
A$18.A$11.3A4.A3.A$22.A$10.3A3.2A$16.A3.A.2A$20.A$15.3A2$18.4A!

I have attached the search configuration I used in case anyone might find it useful as an example in the future.

[LuveelVoom]

This partial inspired me to try an LLS search, which found a solution with a repeat time of 20 ticks.

Code: Select all

x = 24, y = 23, rule = B2-ak5j/S12-kHistory
2.C$C.C4$7.C$5.C.C8.2A2$14.A.A$14.A.A$14.A.A.2A$11.2A.A$11.A2.A3.A$18.
A$18.A$11.3A4.A3.A$22.A$10.3A3.2A$16.A3.A.2A$20.A$15.3A2$18.4A!

I have attached the search configuration I used in case anyone might find it useful as an example in the future.

Any chance you could do a similar search for an elementary signal to glider?

[silversmith]

Any chance you could do a similar search for an elementary signal to glider?

I'll give it a try, but replacing the domino seems more difficult than recovering a pre-block catalyst.
Edit: All the searches smaller or faster than the one which found the splitter were unsatisfiable, though I'll keep a few more running for a bit in case I get lucky.

[Aleph]

Might this version be easier to synthesize?

Code: Select all

x = 24, y = 23, rule = B2-ak5j/S12-k
2bo$obo4$7bo$5bobo8bo$16bo$14bobobo$14bobobo$14bobo$11b2obo$11bo2bo3$
11b3o8bo$22bo$12bo3b2o$12bo3bo3bob2o$20bo$15b3o2$18b4o!

EDIT: Another solution from LLS:

Code: Select all

x = 21, y = 21, rule = B2-ak5j/S12-k
2bo$obo4$7bo$5bobo8bo$16bo$14bobobo$14bobobo$14bobo$11b2obo$11bo2bo3$
11b3o4b2o$18bo$12b3o5bo$20bo$13bo$13bo!

Edit 2: Apparently the eater was unnecessary:'

Code: Select all

x = 19, y = 21, rule = B2-ak5j/S12-k
2bo$obo4$7bo$5bobo8bo$16bo$14bobobo$14bobobo$14bobo$11b2obo$11bo2bo3$
11b3o2$12b3o2$13bo$13bo!

Edit 3: P7 from the support catalyst in the original splitter:

Code: Select all

x = 10, y = 8, rule = B2-ak5j/S12-k
8bo$2o6bo$3bo$2b2o2bob2o$6bo$b3o2$4b4o!

Edit 4: Weird solution from LLS:

Code: Select all

x = 19, y = 22, rule = B2-ak5j/S12-k
2bo$obo4$7bo$5bobo4$15bo$11b2o2bobo$11bo3bobo$17bo$14b2o$12bo4b2o$9b2o
b2o4bo$16bo$11b2obo2bo$14bobo$14bo3bo$18bo!

[silversmith]

A repeat time 136 drifter to glider

Code: Select all

x = 36, y = 29, rule = B2-ak5j/S12-kHistory
2$2A3.2A4.2A11.2A$3.A2.A.2A4.A7.A$2.A.A8.2A.5B.2A$5.B.AB3A3.2B.4B6.B$.
3A3BA7.8B4.2B$5.A3B5.9B3.3B$3.A.2AB.BA2.11B.4B$3.A.B3.2A.8B.7B$5.A5.8B
3.5B4.A$5.A4.8B3.5B5.A$10.7B3.5B.2A5.A$9.7B3.4B3.AB2.2A.A$8.9B.4B6.B2.
A$7.14B8.A3.3A$6.3A4B2.2B.2B5.3ABA$6.6B4.2B14.A.A$4.2A5B5.A.B7.3A.A2.A
$4.B.B2A2B3.A.A2.2A9.2A3.A$.2A.A4.B4.A.A2.A15.A$4.A5.BA4.A4.2A$10.2A2$
14.A$13.2A2$16.2A$16.A!

An interesting set of reactions

Code: Select all

x = 23, y = 26, rule = B2-ak5j/S12-kHistory
$12.2A7.2A$15.A3.A$14.2A3.2A3$15.B$6.A7.3B$6.A6.4B$8.A3.4B$7.2A.5B$9.
5B$8.8B$8.6B5.2A$7.9B3.A$6.9B3.B2.2A$5.11B.B$4.7B$4.6B7.A$2.2A5B7.A$2.
B.5B7.A$A.A4.B$A.A5.2A$2.A5.A$10.A$10.A!

A repeat time 13 reflector

Code: Select all

x = 15, y = 13, rule = B2-ak5j/S12-kHistory
12.A$13.2A2$9.A$A8.A.A$A$2.A$.2A3$4A2$.2A!

A 180 degree reflector

Code: Select all

x = 14, y = 14, rule = B2-ak5j/S12-kHistory
13.B$12.2B$8.A2.3B$7.BA.A3B$6.7B$5.7B$5.6B$3.2A5B$3.B.5B$2A.A4.B$3.A5.
2A$9.A$11.A$11.A!

Edit: Tightened the loop by 1fd, producing a rt 128 receiver

Code: Select all

x = 35, y = 28, rule = B2-ak5j/S12-kHistory
11.A20.3B$2A3.2A4.A19.4B$3.A2.A.2A3.A9.2A5.4B$2.A.A7.2A7.A7.4B$5.B.AB
2A3.B2.3B.2A5.4B$.3A3BA6.2B.4B6.4B$5.A3B5.B.6B4.4B$3.A.2AB.BA2.3B.5B3.
4B$3.A.B3.2A.11B.4B$5.A5.8B.7B$5.A4.8B3.5B4.A$10.7B3.5B5.A$9.7B3.5B.2A
3.B.A$8.9B.4B3.AB.B2A.A$7.14B6.3BA$6.3A4B2.2B.2B8.A3B3A$6.6B4.2B6.3ABA
.B$4.2A5B5.A.B12.A.A$4.B.B2A2B3.A.A2.2A4.3A.A2.A$.2A.A4.B4.A.A2.A9.2A
3.A$4.A5.BA4.A4.2A11.A$10.2A$12.B$13.BA$13.2A$15.B$16.2A$16.AB!

A sparky eater

Code: Select all

x = 16, y = 13, rule = B2-ak5j/S12-kHistory
13.A$13.A.A$A$A$2.A$.2A2$2.2A2$8.A$5.2A.A2$4.3A!

[coaldeficit]

fuse that leaves behind 2 cell lines

Code: Select all

x = 44, y = 3, rule = B2-ak5j/S12-k
2bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$obobobobobobobobobobobobobobobobobob
obobobo$o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo2bo!

probably useless glider doubler partial

Code: Select all

x = 11, y = 11, rule = B2-ak5j/S12-k
9bo$2bo6bo$2o7bo5$7b2o$7bo$9b2o$9bo!

[speedydelete]

probably useless glider doubler partial

Code: Select all

x = 11, y = 11, rule = B2-ak5j/S12-k
9bo$2bo6bo$2o7bo5$7b2o$7bo$9b2o$9bo!

This can be used to make a irregular gun that produces gliders with a spacing of 18, 20, 18, 20, etc, which is a density record for a gun. It cannot be used to make a p18 gun, sadly.

Code: Select all

x = 60, y = 51, rule = B2-ak5j/S12-k
19bo$19bo$12bo4bo$12bo4b2o$12bo5$20bo$9b2o7b2o$2o9bo13b3o$3bo$2b2o3$26b
2o$26bo$2b3o13bo9b2o$10b2o7b2o$9bo$26bo14bo$26bo14bo$24bo18bo4bo$24b2o
16b2o4bo$8bo39bo$6bobo2b2o$6bobo3bo5bo$6bo9b2o$8b2o$5b2o4bo28bo9bo$5b
o4b2ob2o25bo8bo8b2o$7bo24bo8bo7bo6bo$6bo2bob2o10b2o6bo24b2o$7bobo13bo
7bo$4b2o3bo15bo$25bo2bo$28bo$26bo5b2o21b3o$26bob2o3bo6bo7bo$28bo11bo8b
o$24b3o3bo8bo9bo$30bob3o$25bobo$26bo2bob3o$24bo3b2o$24bo16bo$41bo4b2o
$41bo4bo$48bo$48bo!

[speedydelete]

Edit: Tightened the loop by 1fd, producing a rt 128 receiver

Code: Select all

x = 35, y = 28, rule = B2-ak5j/S12-kHistory
11.A20.3B$2A3.2A4.A19.4B$3.A2.A.2A3.A9.2A5.4B$2.A.A7.2A7.A7.4B$5.B.AB
2A3.B2.3B.2A5.4B$.3A3BA6.2B.4B6.4B$5.A3B5.B.6B4.4B$3.A.2AB.BA2.3B.5B3.
4B$3.A.B3.2A.11B.4B$5.A5.8B.7B$5.A4.8B3.5B4.A$10.7B3.5B5.A$9.7B3.5B.2A
3.B.A$8.9B.4B3.AB.B2A.A$7.14B6.3BA$6.3A4B2.2B.2B8.A3B3A$6.6B4.2B6.3ABA
.B$4.2A5B5.A.B12.A.A$4.B.B2A2B3.A.A2.2A4.3A.A2.A$.2A.A4.B4.A.A2.A9.2A
3.A$4.A5.BA4.A4.2A11.A$10.2A$12.B$13.BA$13.2A$15.B$16.2A$16.AB!

This can be used as a Heisenburp for the big c/4d (which I am calling the "wider"):

Code: Select all

x = 35, y = 46, rule = B2-ak5j/S12-k
19b2o$19b2o$21bo$19b2o9$22b2o$23bo2$19b2o$20bo2$16b2o$17bo2$13b2o$14b
o2$10b2o$4bo6bo4bo4b2o11bo$b2obo9bobo2bo9b2o3bo$7b2o5bobo2b2o4b3obo2b
o$4b2o10bo14bobo$24b3obo$6b3o19bo3b3o$30bo$25bo3b2obo$25b2o5bo$30bo$5b
o24bo$5bo$3bo5b2o$3bob2o3bo$5bo$b3o3bo$7bob2o10b2o$2bobo7b2o7bo$3bo2b
ob2o3bo9b2o$2o3b2o4bo$11bo!

Also, here is a stable glider-to-wider:

Code: Select all

x = 50, y = 44, rule = B2-ak5j/S12-k
17bo9b2o4bo$15b2o13bo2bobo$29b2o2bobo$9bo23bo$9bo$11bo4bo$10b2o4bo$16b
o3$33bo$33bo$28b2o5bo13bo$2b3o23bo3b2obo13bo$33bo13bo$31bo3b4o8b2o$27b
3obo$23bo10bobo$2b2o13b2o4bo4b3obo2bo10b4o$3bo14bo4bo8b2o3b2o$2o12b3o
30b2o21$19b2o$20bo$17b2o!

[mmmmmmmmm]

Are any orthogonal spaceships known in this rule? Or at least promising partials?

[b-engine]

Also, here is a stable glider-to-wider:

Code: Select all

x = 50, y = 44, rule = B2-ak5j/S12-k
17bo9b2o4bo$15b2o13bo2bobo$29b2o2bobo$9bo23bo$9bo$11bo4bo$10b2o4bo$16b
o3$33bo$33bo$28b2o5bo13bo$2b3o23bo3b2obo13bo$33bo13bo$31bo3b4o8b2o$27b
3obo$23bo10bobo$2b2o13b2o4bo4b3obo2bo10b4o$3bo14bo4bo8b2o3b2o$2o12b3o
30b2o21$19b2o$20bo$17b2o!

Repeat time 37:

Code: Select all

x = 72, y = 81, rule = B2-ak5j/S12-k
2bo$2o8$11bo$9bobo8$20bo$20bo$19bo7$29bo2$28b2o8$39bo9b2o4bo$37b2o13b
o2bobo$51b2o2bobo$31bo23bo$31bo$33bo4bo$32b2o4bo$38bo3$55bo$55bo$50b2o
5bo13bo$24b3o23bo3b2obo13bo$55bo13bo$53bo3b4o8b2o$49b3obo$45bo10bobo$
24b2o13b2o4bo4b3obo2bo10b4o$25bo14bo4bo8b2o3b2o$22b2o12b3o30b2o21$41b
2o$42bo$39b2o!

[speedydelete]

Are any orthogonal spaceships known in this rule? Or at least promising partials?

Nope! There is some c/3o stuff, but it's not promising. I am however working on an Orthogonoid.