amling questionable searches/ideas firehose

amling · Post by **amling** » March 7th, 2024, 1:21 am

dbell wrote: ↑
February 22nd, 2024, 8:27 am
The loaf can probably be converted into another loaf...

Aha! I did remember seeing something about another loaf. What reaction was this and what orientation did it leave the new loaf in? A different loaf orientation might be another candidate input for perturbation searches.

dbell · Post by **dbell** » March 7th, 2024, 1:56 am

I'm sorry to mislead you about that loaf perturbation. I also mentioned converting a loaf into a boat or traffic lights. None of these worked out with the complete spaceship. These were just me playing around with the partial you had found, and obviously doing it wrongly.

I just reran my perturbation search again (manually), and the turned loaf, boat, and traffic lights weren't there.

About the forced cell, if you forced one a half-diagonal beyond the blinker making reaction, then no shift could find the blinker. It also might force a bigger reaction too.

BCNU,
-dbell

amling · Post by **amling** » March 8th, 2024, 1:17 am

This partial for a c/4d perturbation of such a loaf into a sideways loaf is pretty good:

Code: Select all

x = 24, y = 23, rule = B3/S23
21bo$20bobo$19bo2bo$20b2o$12bob2o$10b3ob2obobo$10bo3b2o3bo$10bo6bobo$
11bo4b2o$3o4b5o3b2obobo$o4b2o4bob2o4bobo$bo3bo2b2obobobo$3bobo6b2obobo
bobo$2b3ob3obo5b2ob2ob2o$8bobob3o2bo2bobo$bo2bo7bobo2b2o2bo$2bo4bobobo
2b2obo2bo$2bo2bo4b4obob2ob2o$3bo2b2obob2o2b2ob2ob2o$3b2obo2bo2bo2bo2bo
2bobo$3bo3b2o4bo4bo3bo$2b2o3b2obo2bob4ob3o$2b2ob2o3bo2bo4b2obo!

Actual solution still eludes me but it's surely good enough to include sideways loaf as candidate input object for further active-region-from-single-still-life searches.

amling · Post by **amling** » March 8th, 2024, 1:17 pm

More 3c/6 heartbreak with a partial for a blocks edge for parallel stripes:

Code: Select all

x = 151, y = 14, rule = LifeHistory
F.13BABABABABA.F24.F24.F24.F24.F24.F$F.10B2ABABABABABA.F.10B2ABABABAB
ABA.F.10B2ABABABABABA.F24.F24.F24.F$F.10B2ABABABABABA.F.10B2ABABABABA
BA.F.10B2ABABABABABA.F.10B2ABABABABABA.F.10B2ABABABABABA.F24.F$F.13BA
BABABABA.F.13BABABABABA.F.13BABABABABA.F.13BABABABABA.F.13BABABABABA.
F.13BABABABABA.F$F.10B2A2B2ABABABA.F.10B2A2B2ABABABA.F.10B3A2BABABABA
.F.10B4ABABABABA.F.10B4ABABABABA.F.10B2ABABABABABA.F$F.10BA6BABABA.F.
10B2A3BABABABA.F.9BABA2B2ABABABA.F.9BA4B2ABABABA.F.9BA3BABABABABA.F.
10B2ABABABABABA.F$F.16B2ABABA.F.9BA6B2ABABA.F.9BABA5BABABA.F.9BABA3BA
BABABA.F.14B2ABABABA.F.14B2ABABABA.F$F.5BAB2ABA8BABA.F.7BA2BA6BABABA.
F.10BA5B2ABABA.F.11BA4B2ABABA.F.11BA5BABABA.F.10B3A2BABABABA.F$F.5BAB
3ABAB2A3B2ABA.F.5BA5BA2BA3B2ABA.F.5BAB3ABA7BABA.F.7BA3B2A4BABABA.F.
10B3A3B2ABABA.F.10BA5B2ABABA.F$F.3B2A2B3A2B3A4BABA.F.2BA2B3AB2A8BABA.
F.5BAB3ABAB2A3B2ABA.F.5BA5BA2BA3B2ABA.F.5BAB2A2B2A6BABA.F.7BA9BABABA.
F$F.2B3A8BA5BABA.F.6BA2B2A2B2A6BA.F.3B2A2B3A2B3A4BABA.F.2BA2B3AB2A8BA
BA.F.5BAB3ABAB2A3B2ABA.F.5BA5BA2BA3B2ABA.F$F.2B3AB2ABABA9BA.F.2BAB2A
5B2A2BAB3ABA.F.2B3A8BA5BABA.F.6BA2B2A2B2A6BA.F.3B2A2B3A2B3A4BABA.F.2B
A2B3AB2A8BABA.F$F24.F24.F.2B3AB2ABABA9BA.F.2BAB2A5B2A2BAB3ABA.F.2B3A
8BA5BABA.F.6BA2B2A2B2A6BA.F$F24.F24.F24.F24.F.2B3AB2ABABA9BA.F.2BAB2A
5B2A2BAB3ABA.F!

4 Y rows of c/2 but alas as that search is sketched unsolvable at any width. It's conceivable more rows above could help but it seems very unlikely. I may try instead allowing 2c/4 cells in the support? I'm not sure what else to try...

amling · Post by **amling** » March 9th, 2024, 1:59 am

amling wrote: ↑

December 14th, 2022, 1:13 pm

Here is one 4c/8 back corner for the 4c/0 perpendicular stripes greyship edge:

Code: Select all

x = 215, y = 158, rule = B3/S23
2bo$b3o5b3o12bo5bo$2obo4bo2bo5b3o3b3o3b3o$3o4b3obo4bo2bo3bob2ob2obo$3o
2bo6bo3bo2bo4b3ob3o$b2o5bo4bo4b4o2b3o2b2o$7bo6bobobob2o2b3o$14bobob2o
2bo2b2o39b3o$12b2o3bo2b2o2b3o5b3o24b3o4bo2bo$15b2o4b3o3b2o2bo2bo7b3o3b
3o7bo2bo4bo$12b5o2b2o8bo5bo5bo2bo2bo2bo10bo4bo$12bo6b2obo5b3o2b2o6bo3b
o4bo6bo3bo5bobo$11b2o5b2o5b2o3b2ob6ob2obo7bo4bo4bo$12bo2b4obo2bob2o2b
4o2bo2b2o2bo4bo2b2o2b2obo3bob2o6b3o$13bo3bo6b2o5bo5b2o2bob2o2bo2b2o2b
2obo3b2o2bo4bo2bo$13b2o2bo9bob2o6b5ob3o2bo4b2o2bo4bo10bo$8bo3b2ob2o19b
ob2o2bobo2bo8bo2b4o2bo7bo$7b3o4bo20bo5bo2b2ob2o2b2o5b2o3b2ob3obobo$7bo
b2o25bo2b2o4b2o4bo6bo2b2o4b2o$8b3o23b2o3bo2bob2obo2bo4bo4bo$8b6o20b4ob
obo5bob2o4b3o7b2o2bo$8b3obob2o14bo6bobo3bobobo9bo6bo25bo$11bo4bo12b3o
3b3obo2bo4b2ob2o5b6o6bo19b3o$10bo18bob2o4b3o4bo3b5ob3o2bobo2bob3o3b3o
3b3o7b2obo$10bo4b2o15bo4b3o3b2o4b2o2b2obo4b2o9bo2bobo2bo7b3o$10bo17b3o
3bobobo3b3o14bob2o8bo3bobo4bo6b2o$10bo17b4o3bo6b2o10bobo2bob2o5b6obobo
b4o$10bo18bo8bo14bo6b3o5bo6bobobo3b2ob2o$11bobo22b2o22b3o3bob9ob6obobo
$35bo2bo22b2o4bo17bo3bo$31b3ob4o29b17ob4o$30b2ob6o52bo$29b2o37b24o$29b
2o36bo25bo$29b2o3bo3bo29b26o$32b2o61bo$29bo38b28o$29b2ob3o32bo29bo$28b
o4bobo32b30o$27bobo5b2o62bo$34b2o32b32o$28b2o4b2ob2o28bo33bo$27b2ob2o
36b34o$27b5o4bo66bo$28b3o37b36o$29bo37bo37bo$29b2o37b38o$30bo3bo72bo$
33b3o32b40o$33bob2o30bo41bo$34b3o31b42o$34b3o74bo$34b2o32b44o$67bo45bo
$68b46o$115bo$68b48o$67bo49bo$68b50o$119bo$68b52o$67bo53bo$68b54o$123b
o$68b56o$67bo57bo$68b58o$127bo$68b60o$67bo61bo$68b62o$131bo$68b64o$67b
o65bo$68b66o$135bo$68b68o$67bo69bo$68b70o$139bo$68b72o$67bo73bo$68b74o
$143bo$68b76o$67bo77bo$68b78o$147bo$68b80o$67bo81bo$68b82o$151bo$68b
84o$67bo85bo$68b86o$155bo$68b88o$67bo89bo$68b90o$159bo$68b92o$67bo93bo
$68b94o$163bo$68b96o$67bo97bo$68b98o$167bo$68b100o$67bo101bo$68b102o$
171bo$68b104o$67bo105bo$68b106o$175bo$68b108o$67bo109bo$68b110o$179bo$
68b112o$67bo113bo$68b3o4bob105o$69bo5bobobo103bo$72bo10bob99o$67b3o13b
obobo97bo$67bo2b2o19bob93o$67b2ob2o19bobobo91bo$71bobo25bob87o$72b2o
25bobobo85bo$65bo2b3obo34bob81o$65b2o40bobobo79bo$66b2o47bob75o$115bob
obo73bo$123bob69o$66bob3o52bobobo67bo$65bob2o62bob63o$65bo65bobobo61bo
$69bo69bob57o$67bo2bo68bobobo55bo$67bobo77bob51o$69b2o76bobobo49bo$69b
obo83bob45o$69bobo83bobobo43bo$70bo92bob39o$163bobobo37bo6b3o$171bob
33o5bo2bo$171bobobo30bo7bo$179bob27o2bo3bo$179bobobo24b2o4bo$187bob21o
3bo$187bobobo$195bob10o3bo$195bobobo7bo3bo$203bob2o4b2o$203bobobo3b3o$
211b3o$211b2o!

This was found by sticking the two adjoining edges next to each other (tried both phases) and asking LLSSS to complete them in a normal 4c/8 f2b search. 4c/8 is a little rough for LLSSS, but this was solvable with a small enough window.

I'd like to do...

Code: Select all

x = 279, y = 145, rule = B3/S23
2bo273bo$b3o5b3o12bo5bo217bo5bo12b3o5b3o$2obo4bo2bo5b3o3b3o3b3o215b3o
3b3o3b3o5bo2bo4bob2o$3o4b3obo4bo2bo3bob2ob2obo215bob2ob2obo3bo2bo4bob
3o4b3o$3o2bo6bo3bo2bo4b3ob3o217b3ob3o4bo2bo3bo6bo2b3o$b2o5bo4bo4b4o2b
3o2b2o217b2o2b3o2b4o4bo4bo5b2o$7bo6bobobob2o2b3o225b3o2b2obobobo6bo$
14bobob2o2bo2b2o39b3o141b3o39b2o2bo2b2obobo$12b2o3bo2b2o2b3o5b3o24b3o
4bo2bo139bo2bo4b3o24b3o5b3o2b2o2bo3b2o$15b2o4b3o3b2o2bo2bo7b3o3b3o7bo
2bo4bo145bo4bo2bo7b3o3b3o7bo2bo2b2o3b3o4b2o$12b5o2b2o8bo5bo5bo2bo2bo2b
o10bo4bo145bo4bo10bo2bo2bo2bo5bo5bo8b2o2b5o$12bo6b2obo5b3o2b2o6bo3bo4b
o6bo3bo5bobo139bobo5bo3bo6bo4bo3bo6b2o2b3o5bob2o6bo$11b2o5b2o5b2o3b2ob
6ob2obo7bo4bo4bo155bo4bo4bo7bob2ob6ob2o3b2o5b2o5b2o$12bo2b4obo2bob2o2b
4o2bo2b2o2bo4bo2b2o2b2obo3bob2o6b3o131b3o6b2obo3bob2o2b2o2bo4bo2b2o2bo
2b4o2b2obo2bob4o2bo$13bo3bo6b2o5bo5b2o2bob2o2bo2b2o2b2obo3b2o2bo4bo2bo
131bo2bo4bo2b2o3bob2o2b2o2bo2b2obo2b2o5bo5b2o6bo3bo$13b2o2bo9bob2o6b5o
b3o2bo4b2o2bo4bo10bo131bo10bo4bo2b2o4bo2b3ob5o6b2obo9bo2b2o$8bo3b2ob2o
19bob2o2bobo2bo8bo2b4o2bo7bo131bo7bo2b4o2bo8bo2bobo2b2obo19b2ob2o3bo$
7b3o4bo20bo5bo2b2ob2o2b2o5b2o3b2ob3obobo133bobob3ob2o3b2o5b2o2b2ob2o2b
o5bo20bo4b3o$7bob2o25bo2b2o4b2o4bo6bo2b2o4b2o141b2o4b2o2bo6bo4b2o4b2o
2bo25b2obo$8b3o23b2o3bo2bob2obo2bo4bo4bo157bo4bo4bo2bob2obo2bo3b2o23b
3o$8b6o20b4obobo5bob2o4b3o7b2o2bo139bo2b2o7b3o4b2obo5bobob4o20b6o$8b3o
bob2o14bo6bobo3bobobo9bo6bo25b3o9b3o27b3o9b3o27b3o9b3o25bo6bo9bobobo3b
obo6bo14b2obob3o$11bo4bo12b3o3b3obo2bo4b2ob2o5b6o6bo19bo2bo9bo2bo25bo
2bo9bo2bo25bo2bo9bo2bo19bo6b6o5b2ob2o4bo2bob3o3b3o12bo4bo$10bo18bob2o
4b3o4bo3b5ob3o2bobo2bob3o3b3o3b3o8bo2bo9bo2bo8b3o3b3o8bo2bo9bo2bo8b3o
3b3o8bo2bo9bo2bo8b3o3b3o3b3obo2bobo2b3ob5o3bo4b3o4b2obo18bo$10bo4b2o
15bo4b3o3b2o4b2o2b2obo4b2o9bo2bobo2bo10b2o9b2o10bo2bobo2bo10b2o9b2o10b
o2bobo2bo10b2o9b2o10bo2bobo2bo9b2o4bob2o2b2o4b2o3b3o4bo15b2o4bo$10bo
17b3o3bobobo3b3o14bob2o8bo3bobo4bo5b2o2b3o5b3o2b2o5bo4bobo4bo5b2o2b3o
5b3o2b2o5bo4bobo4bo5b2o2b3o5b3o2b2o5bo4bobo3bo8b2obo14b3o3bobobo3b3o
17bo$10bo17b4o3bo6b2o10bobo2bob2o5b6obobob4o6bo2bo2b2ob2o2bo2bo6b4obob
ob4o6bo2bo2b2ob2o2bo2bo6b4obobob4o6bo2bo2b2ob2o2bo2bo6b4obobob6o5b2obo
2bobo10b2o6bo3b4o17bo$10bo18bo8bo14bo6b3o5bo6bobobo3b2ob3o3bobo2bo2bob
o3b3ob2o5bobobo3b2ob3o3bobo2bo2bobo3b3ob2o3bobobo5b2ob3o3bobo2bo2bobo
3b3ob2o3bobobo6bo5b3o6bo14bo8bo18bo$11bobo22b2o22b3o3bob9ob6obobob3o2b
ob3obo2b3obobob8ob6obobob3o2bob3obo2b3obobob6ob8obobob3o2bob3obo2b3obo
bob6ob9obo3b3o22b2o22bobo$35bo2bo22b2o4bo17bo23bo17bo23bo17bo23bo17bo
4b2o22bo2bo$31b3ob4o29b17ob23ob17ob23ob17ob23ob17o29b4ob3o$30b2ob6o
201b6ob2o$29b2o37b143o37b2o$29b2o36bo143bo36b2o$29b2o3bo3bo29b143o29bo
3bo3b2o$32b2o211b2o$29bo38b143o38bo$29b2ob3o32bo143bo32b3ob2o$28bo4bob
o32b143o32bobo4bo$27bobo5b2o205b2o5bobo$34b2o32b143o32b2o$28b2o4b2ob2o
28bo143bo28b2ob2o4b2o$27b2ob2o36b143o36b2ob2o$27b5o4bo205bo4b5o$28b3o
37b143o37b3o$29bo37bo143bo37bo$29b2o37b143o37b2o$30bo3bo209bo3bo$33b3o
32b143o32b3o$33bob2o30bo143bo30b2obo$34b3o31b143o31b3o$34b3o205b3o$34b
2o32b143o32b2o$67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$
67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b
143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$
67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b
143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$
67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b
143o2$68b143o$67bo143bo$68b143o2$68b143o$67bo143bo$68b143o2$68b143o$
67bo143bo$68b3o4bob125obo4b3o$69bo5bobobo119bobobo5bo$72bo10bob109obo
10bo$67b3o13bobobo103bobobo13b3o$67bo2b2o19bob93obo19b2o2bo$67b2ob2o
19bobobo87bobobo19b2ob2o$71bobo25bob77obo25bobo$72b2o25bobobo71bobobo
25b2o$65bo2b3obo34bob61obo34bob3o2bo$65b2o40bobobo55bobobo40b2o$66b2o
47bob20o5b20obo47b2o$115bobobo39bobobo$123bob12o5b12obo$66bob3o52bobob
o23bobobo52b3obo$65bob2o62bob4o5b4obo62b2obo$65bo65bobobo7bobobo65bo$
69bo139bo$67bo2bo137bo2bo$67bobo139bobo$69b2o137b2o$69bobo135bobo$69bo
bo135bobo$70bo137bo!

...but have had no luck. Fairly wide odd symmetry searches appear to just extend the sloped edge and fail the instant they reach the critical point where they touch the central edge and can postpone no further so I assume this is unsolvable as strict 2c/4 odd symmetry. If solved it would allow for 2c/4 level backs in an obvious way as well so I assume this is covered ground.

I tried the original back corner search with the slanted back "the other way" with no results. This particular sloped back generally seems very finicky to extend on that side.

I took another crack at this but no real luck. The various searches I set up did find some 2c/4 reductions but again only with the edge going that same way. An example, solved, provides another greyship of the same shape:

Code: Select all

#C [[ TRACK 0 -1/2 ]]
x = 218, y = 159, rule = B3/S23
2bo$b3o5b3o12bo5bo$2obo4bo2bo5b3o3b3o3b3o$3o4b3obo4bo2bo3bob2ob2obo$3o
2bo6bo3bo2bo4b3ob3o$b2o5bo4bo4b4o2b3o2b2o$7bo6bobobob2o2b3o$14bobob2o
2bo2b2o39b3o$12b2o3bo2b2o2b3o5b3o24b3o4bo2bo$15b2o4b3o3b2o2bo2bo7b3o3b
3o7bo2bo4bo$12b5o2b2o8bo5bo5bo2bo2bo2bo10bo4bo$12bo6b2obo5b3o2b2o6bo3b
o4bo6bo3bo5bobo$11b2o5b2o5b2o3b2ob6ob2obo7bo4bo4bo$12bo2b4obo2bob2o2b
4o2bo2b2o2bo4bo2b2o2b2obo3bob2o6b3o$13bo3bo6b2o5bo5b2o2bob2o2bo2b2o2b
2obo3b2o2bo4bo2bo$13b2o2bo9bob2o6b5ob3o2bo4b2o2bo4bo10bo$8bo3b2ob2o19b
ob2o2bobo2bo8bo2b4o2bo7bo$7b3o4bo20bo5bo2b2ob2o2b2o5b2o3b2ob3obobo$7bo
b2o25bo2b2o4b2o4bo6bo2b2o4b2o$8b3o23b2o3bo2bob2obo2bo4bo4bo$8b6o20b4ob
obo5bob2o4b3o7b2o2bo$8b3obob2o14bo6bobo3bobobo9bo6bo25bo$11bo4bo12b3o
3b3obo2bo4b2ob2o5b6o6bo19b3o$10bo18bob2o4b3o4bo3b5ob3o2bobo2bob3o3b3o
3b3o7b2obo$10bo4b2o15bo4b3o3b2o4b2o2b2obo4b2o9bo2bobo2bo7b3o$10bo17b3o
3bobobo3b3o14bob2o8bo3bobo4bo6b2o$10bo17b4o3bo6b2o10bobo2bob2o5b6obobo
b4o$10bo18bo8bo14bo6b3o5bo6bobobo3b2ob2o$11bobo22b2o22b3o5b9ob6obobo$
35bo2bo22b2o22bo3bo$31b3ob4o29b17ob4o$30b2ob6o28bo23bo$29b2o37b24o$29b
2o62bo$29b2o3bo3bo29b26o$32b2o33bo27bo$29bo38b28o$29b2ob3o62bo$28bo4bo
bo32b30o$27bobo5b2o30bo31bo$34b2o32b32o$28b2o4b2ob2o62bo$27b2ob2o36b
34o$27b5o4bo30bo35bo$28b3o37b36o$29bo75bo$29b2o37b38o$30bo3bo32bo39bo$
33b3o32b40o$33bob2o72bo$34b3o31b42o$34b3o30bo43bo$34b2o32b44o$113bo$
68b46o$67bo47bo$68b48o$117bo$68b50o$67bo51bo$68b52o$121bo$68b54o$67bo
55bo$68b56o$125bo$68b58o$67bo59bo$68b60o$129bo$68b62o$67bo63bo$68b64o$
133bo$68b66o$67bo67bo$68b68o$137bo$68b70o$67bo71bo$68b72o$141bo$68b74o
$67bo75bo$68b76o$145bo$68b78o$67bo79bo$68b80o$149bo$68b82o$67bo83bo$
68b84o$153bo$68b86o$67bo87bo$68b88o$157bo$68b90o$67bo91bo$68b92o$161bo
$68b94o$67bo95bo$68b96o$165bo$68b98o$67bo99bo$68b100o$169bo$68b102o$
67bo103bo$68b104o$173bo$68b106o$67bo107bo$68b108o$177bo$68b110o$67bo
111bo$68b112o$181bo$68b114o$67bo8bo106bo$68b3o9bob102o$71bo8bobobo100b
o$68b2ob2o15bob96o$67b3ob2o15bobobo94bo$66b2o28bob90o$71bo24bobobo88bo
$70bo33bob84o$70bo33bobobo82bo$67b2o43bob78o$63bo3b2o43bobobo76bo$62b
3o2bobo50bob72o$62bob2o54bobobo70bo$63b3o62bob66o$63b3o62bobobo64bo$
63b2o71bob60o$136bobobo58bo$144bob54o$144bobobo52bo$152bob48o$152bobob
o46bo$160bob42o$160bobobo40bo$168bob36o7b3o$168bobobo34bo5bo2bo$176bob
30o5bo$176bobobo32bo3bo$184bob25o2bo$184bobobo22bo2bobo$192bob15ob2o$
192bobobo12b2o$200bob11o$200bobobo3bo2b3o$210b2obo$207bo2b3o$211b2o!

There were fairly long partials for some of the search lines with the 2c/1 edge running the other way, but nothing reduced to 2c/4:

Code: Select all

x = 361, y = 25, rule = LifeHistory
F44.F44.F44.F44.F44.F44.F.35BABABA2B.F.33BABABA4B.F$F44.F44.F44.F44.F
.9B25ABA6B.F.9B23ABA8B.F.9B21ABA10B.F.9B19ABA12B.F$F44.F44.F.8BA26BAB
ABA2B.F.8BA24BABABA4B.F.8BA22BABABA6B.F.8BA20BABABA8B.F.8BA9BA8BABABA
10B.F.8BA9BA6BABABA12B.F$F.9B25ABA6B.F.9B23ABA8B.F.9B21ABA10B.F.9B19A
BA12B.F.7BA2B16ABA14B.F.6BA2BAB6A3B4ABA16B.F.6BA2BA2B4A4B2ABA18B.F.5B
3A5B2A2BA2B2A20B.F$F.31BABABA6B.F.29BABABA8B.F.10BA16BABABA10B.F.7B2A
BA14BABABA12B.F.6B3A4BA3B3A3BABABA14B.F.6B3A12BABABA16B.F.5B2A10B3ABA
BA18B.F.5B4A2BA4B3A4BA18B.F$F.9B17ABA14B.F.7BA4B12ABA16B.F.6B3A3BA2B
7ABA18B.F.6B2A3BA3BA5BA20B.F.5BA3B3A2BA27B.F.5BA2B4A2B2AB3A22B.F.5BA
2B4AB3A2BABABA19B.F.4BA3B3A2B3AB2ABABA19B.F$F.6B6A11BABABA14B.F.6B3A
4B2A6BABABA16B.F.5BA6BA3B4ABABA18B.F.5B2ABA2B3ABA7BA18B.F.5B2A4B2ABAB
A3BABA19B.F.5B2A5BABA6BA20B.F.4BAB2ABA4BA5BA21B.F.4BAB2ABABA4BA3BA21B
.F$F.5BA10BA2BA22B.F.5B4A33B.F.4BA3BA3BA8B2A19B.F.4BA12BABABA20B.F.3B
2A6BA2BABA2BA2BA19B.F.4BABA4B3A2B4A2BA19B.F.4BABA4BAB2AB5A21B.F.3B2AB
2A5B2A2B2AB2A20B.F$F.4BA5BABA7BABA19B.F.4B2A6B2ABA3B3A20B.F.3BA3BA3B
4A4BABA20B.F.3B2A6BA3BA2B2ABA20B.F.5BA11BABABA20B.F.5BA5BA3B2A2BA22B.
F.4BA9BA5BA21B.F.3B2A2BA2B2A2BA5B2A20B.F$F.4BA6B2AB2A2BA2BA20B.F.3B2A
5BABA2BA3B3A20B.F.3BA8B4A2B2ABA20B.F.3B2A5BA4BABABAB2A19B.F.5BA3B3A3B
A3BA22B.F.5B2A2B3A3B2AB2A2BA19B.F.4B4ABAB2ABAB4A2BA19B.F.3B2AB3AB5AB
3A3BA19B.F$F.4BABA2BA2BA3BA3BA21B.F.5BA4BA5B2A24B.F.4BA4B2A6B2A2BA20B
.F.4BA4B2A2BABA5B2A19B.F.4B2A2BA2BA2BABA3B3A19B.F.3BA2BABA2BA2BA5B3A
19B.F.4BA3BA2BA3BA3B4A19B.F.8BA4B3ABA4B2A18B.F$F.11B5ABA24B.F.9BAB5AB
A3BA20B.F.5BA3BA5BAB2A2BA20B.F.4BA3B3A31B.F.3B3A2BABA3BA7BA19B.F.3BA
2B2A2BA31B.F.3B2ABABABABA2BA4BABA19B.F.3B2A3BABABAB2A3B2ABA19B.F$F.2B
A6B2A5BA3BABA19B.F.3B3A3B2AB3A3BA2B3A18B.F.3BA3BA8BAB5A19B.F.4BA2BA6B
A8BA18B.F.4BABA3B6A6B2A18B.F.4BABABABAB4A5BA20B.F.4BA3BA2B2A2B2A25B.F
.3B2ABABA3BA2BA26B.F$F.3B4ABABA5B3A3B2A18B.F.3B6AB2A4BAB2A22B.F.3BA2B
3A3B2AB2AB2A2B2A18B.F.2B3AB3A2B3AB2ABA3B2A18B.F.2BA3B3A2BA4BA2BA2B2A
18B.F.5B4A4B2AB2A6BA17B.F.5B2AB2ABA4B3A23B.F.4B2A2B4ABA4BA23B.F$F.5BA
2BABA6BABA2B2A18B.F.8BABA5B2A6BA17B.F.3BA6BABA3BA3BA21B.F.3BABA3BA2B
3ABABABA21B.F.9B2A5BABA2B3A18B.F.12BABABAB2A3BA18B.F.4BA3BA3BABABA2BA
3B2A17B.F.4BA3B2A2BABABAB2A3B2A17B.F$F.3B3A2BA2B2A8B3A18B.F.4B2AB2A2B
2A5BAB2ABA18B.F.4B2AB2A2BA3BA2BAB4A18B.F.3BAB4A2BA3BA2BABA2BA18B.F.5B
AB2AB2AB3ABA2B2A20B.F.4B2ABA5BA3B2ABA3BA17B.F.4B3A6B2A5BA3BA17B.F.3B
3AB3A9B2A3B2A16B.F$F.8BA3BA2BA3BA22B.F.4BA4B2A4B2A2B2ABA19B.F.4B2A2B
3A4B4A3B2A18B.F.7BA3BA8BA3BA17B.F.4B2AB2AB3AB2A2BABA2B2A17B.F.4B2A2BA
6B4AB5A17B.F.3BA4B2A4B2A4BA3BA17B.F.3BA2BAB2A9B3A20B.F$F.10B2AB3AB3A
22B.F.10BA4BABA2BA3BA17B.F.5BA3B2A3B2AB2ABABABA17B.F.5BA5BA2B2A2B2A4B
A17B.F.6BA4B2A5B2A3B2A17B.F.4BABAB2A5BAB2A2B2A19B.F.4BABAB2A4B2A4BA
21B.F.3B2A3B2A3BA2BA2B2A2BA18B.F$F.6BA4B3A3B2ABA2B3A16B.F.5B2A6BA2B2A
2BAB2ABA16B.F.5BABA3BA10B3A17B.F.6BA2BABA6BA5B2A16B.F.4BABA2BABAB2A3B
AB2A2B2A16B.F.6BA2BA4BA2B2A23B.F.4BABA7B2A4BAB2A18B.F.3B2ABA3BA2BAB2A
2B5A18B.F$F.3BAB2A3BA10BAB3A16B.F.5B3A2BABA4B5A20B.F.10BABA6B4ABA17B.
F.4B2A2BABAB2A6B3ABA17B.F.5BA3B2AB2A3BA2B3AB2A16B.F.4B2ABAB2A3BA2B4AB
AB2A16B.F.4B2ABAB2A2BA3BABA3B3A16B.F.4BA2B2ABA3BAB2A7BA16B.F$F.2BA3BA
3BA7BA2BA2BA17B.F.2B2AB3A2B2A3BABA7BA16B.F.4B2ABABA2BAB2ABA24B.F.12BA
BA2B3A2BA19B.F.5BAB2A3BA4BA4BA19B.F.5BA2BA3BA11BA17B.F.5BABA3BA5B4ABA
B2A16B.F.7BA2BA9BA4BA16B.F$F.2BA5BABA3B3ABA4BA18B.F.10B2A2B2A2BAB2A
20B.F.2BA9BAB3ABA2BA20B.F.6BAB2A2BA5B2A2BA19B.F.4B2A3B2ABA9B2A18B.F.
5BABABABA4BA4B2A19B.F.4B2ABA7B2ABA23B.F.4B2A5B3AB2ABAB3A19B.F$F.10BA
2BA4B2AB4A17B.F.3B4ABABA2BA5B3A2BA17B.F.3B3A3B3ABA2BAB2A2B2A18B.F.3B
3A4B2ABA2BA2B2ABA19B.F.3BABABA7B2A5BABA17B.F.5BABA7B5A5BA16B.F.10BAB
4A5BAB2ABA15B.F44.F$F.3B6AB2A2BAB2ABA2BABA17B.F.3BA10B2ABA4BABA17B.F.
5BA7BA3BABA22B.F.3BABABAB3A3B3A2B2AB3A16B.F.7B3AB5AB4AB4A16B.F44.F44.
F44.F$F.4B7AB3A4B2A21B.F.2B2A10B4ABAB5A16B.F44.F44.F44.F44.F44.F44.F!

Code: Select all

x = 193, y = 36, rule = LifeHistory
F23.F23.F23.F23.F23.F23.F.21B.F.21B.F$F23.F23.F23.F23.F.9B12A.F.9B12A
.F.9B12A.F.9B12A.F$F23.F23.F.8BA12B.F.8BA12B.F.8BA12B.F.8BA12B.F.8BA
12B.F.4BA3BA12B.F$F.9B12A.F.9B12A.F.9B12A.F.9B12A.F.8B13A.F.4BA3BAB
11A.F.3B3A3BAB10A.F.3B3A2B3AB9A.F$F.21B.F.21B.F.21B.F.4BA4BA11B.F.3B
3A3BA11B.F.3B3A6BA8B.F.2BA2BA3BA10BA.F.3BAB2AB2A8BABA.F$F.9B12A.F.4BA
4B12A.F.3B3A4B11A.F.3B3A4BA2B8A.F.3BA2BA2B2A3B5ABA.F.2B2ABA3BABA2B3AB
A2B.F.5BA3BAB4ABA4B.F.4B3AB2AB2ABA6B.F$F.3B3A2BA12B.F.3B3A15B.F.2BA2B
A4B3A7BA.F.3BAB2A3BA7BABA.F.3BA6B2ABA2BABABA.F.2B3A4B3A2BABABA2B.F.5B
A3BA2BABABA4B.F.4B2A4B3ABA6B.F$F.3BA2BA3BA2B6ABA.F.2B2ABA8B3ABA2B.F.
5BA7B2ABA4B.F.4B3A4BA2BA6B.F.3BA17B.F.3B2A5B2A9B.F.2BABA16B.F.13BA7B.
F$F.3BA12BABABA.F.2B3A8B2ABABA2B.F.5BA7B2ABA4B.F.4B2A15B.F.4BABA3BA
10B.F.10BA10B.F.12BA8B.F.11B2A8B.F$F.3BA4BA3BA8B.F.3B2A4BA11B.F.2BABA
4BA2B3A6B.F.9BABA9B.F.9BABA9B.F.8B2AB2A8B.F.8B2AB2A8B.F.8BAB2ABA7B.F$
F.4BABA2B2A3BA6B.F.9B3ABA7B.F.9B3AB2A6B.F.9B3A2BA6B.F.8B2AB2A8B.F.7BA
BABABA7B.F.7BA3BABA7B.F.6B2ABABABA7B.F$F.10BA2BA7B.F.12B3A6B.F.21B.F.
8BA3BA8B.F.7B2A3B2A7B.F.7B2ABA2BA7B.F.6B2A2BA2BA7B.F.6B2A3BABA7B.F$F.
10B2ABA7B.F.8BAB2AB2A6B.F.7B2AB2A9B.F.7B2AB3A8B.F.6BA3BA2BA7B.F.6BA2B
A3B2A6B.F.5BA6BA8B.F.5BA5B2ABA6B.F$F.7B3A3BA7B.F.7B3ABABA7B.F.7BA3BAB
2A6B.F.6B2ABABABA7B.F.6B2ABA3BA7B.F.5B6A2B2A6B.F.5BA4BA2B2A6B.F.4B3A
6BA7B.F$F.6BA2BABAB2A6B.F.6BA2BA11B.F.6BA2BA2BA8B.F.5BA3BAB3A7B.F.6BA
2BA4BA6B.F.6B3A12B.F.5BA15B.F.6BABABA10B.F$F.5BAB2A2BAB2A6B.F.5BAB2A
2BA3BA5B.F.5B5ABA9B.F.9B2AB2A7B.F.21B.F.21B.F.7B4A10B.F.8B3A10B.F$F.
4BA2BA3BA2BA6B.F.4BA5B2A2BA6B.F.5B2ABA4B2A6B.F.8B2A2B3A6B.F.8BA2BA9B.
F.9B3A9B.F.9BABA9B.F.7BA3B2A8B.F$F.4BAB2A3B3A7B.F.6BABAB4A7B.F.6BA6BA
7B.F.9BA3B2A6B.F.9B2ABABA6B.F.9B2A2BA7B.F.8B2A2B2A7B.F.12B2A7B.F$F.6B
ABABA10B.F.5B2ABABABA8B.F.5B2ABABA10B.F.5B2A2BA11B.F.5B2A3BA3BA6B.F.
5BABA4BABA6B.F.8B2A4BA6B.F.7BA5B2A6B.F$F.8BABA10B.F.8BA3BA8B.F.8BA3BA
8B.F.6BA4B3A7B.F.5B3A2B2ABA7B.F.5BABA2B5A6B.F.7BAB2A4BA5B.F.7BAB2A10B
.F$F.8B6A7B.F.8BA3B2A7B.F.7B3A2B2A7B.F.7BA3B3A7B.F.11BA2BA6B.F.8B2AB
4A6B.F.6BA14B.F.6B3ABA10B.F$F.11BA2BA6B.F.8BA5BA6B.F.8BABA3BA6B.F.14B
A6B.F.7B2ABA3BA6B.F.7B3A4B2A5B.F.7BA3BA3BA5B.F.6B2A2B2A9B.F$F.8BA3B3A
6B.F.9B6A6B.F.8B5ABA6B.F.7B2AB2ABA7B.F.7B2A4B2A6B.F.6BA2BA2BA2BA5B.F.
6BA2B2ABA2BA5B.F.6BABABAB4A5B.F$F.9B2A10B.F.9BA3BA7B.F.8BA12B.F.7BA6B
A6B.F.7BA3BAB2A6B.F.7BABA2B3A6B.F.6B2A4BABA6B.F.5B3ABA2BA8B.F$F.21B.F
.9B3ABA7B.F.8B2ABAB2A6B.F.8B3A3BA6B.F.8B2A11B.F.7B4ABA8B.F.6BA3B3A8B.
F.6B2A4BA8B.F$F.5BA4BAB3A6B.F.9BA2BABA6B.F.9BA2B3A6B.F.21B.F.8BA2BA9B
.F.7B2A12B.F.12BA8B.F.10BA2BA7B.F$F.8BABAB3A6B.F.10BA4BA5B.F.8BAB2AB
3A5B.F.8BAB2A9B.F.8BA3BA8B.F.8B2AB2A8B.F.11BABA7B.F.11BABA7B.F$F.5BA
3BA2BABA6B.F.6B2AB2A3BA6B.F.6B3A5B2A5B.F.6B7A3BA4B.F.6B3A3BA8B.F.6BAB
2AB3A7B.F.11BAB3A5B.F.6B3ABA2BABA5B.F$F.5BAB2A2B3A7B.F.6BABAB2A2BA6B.
F.5BA5BA2B2A5B.F.5BA4BA5BA4B.F.5BA2BA3BA2B2A4B.F.5BA2BA5B3A4B.F.5B5A
4B2A5B.F.5B4A7BA4B.F$F.11BABA7B.F.6B2ABA3B2A6B.F.6B2ABABA3BA5B.F.6BA
4BA3BA5B.F.5B2A4B3AB2A4B.F.5BA7BA7B.F.6BA5B2A2BA4B.F.12B2A2BA4B.F$F.
7BAB3ABA7B.F.9BABAB2A6B.F.10BAB3A6B.F.6BA5B4A5B.F.6B2A3B2A2BA5B.F.7BA
3BAB3A5B.F.6B2A3BA3BA5B.F.5B2AB5A8B.F$F.5BA2B2A2BABA6B.F.6B2A13B.F.7B
4A3BA6B.F.7BA4BABA6B.F.6BA9BA4B.F.6BABABAB3ABA4B.F.6BAB3A10B.F.5BA3BA
2B6A3B.F$F.5BA2B2A2B5A4B.F.8BABA4BA5B.F.5BA2B2ABA3B2A4B.F.5BA5B2A2B2A
4B.F.7BAB2ABAB3A4B.F.7BA2BA2BA7B.F23.F23.F$F.10BAB2A7B.F.5B3A2BABA2B
2A4B.F.5B3A2BAB3A2BA3B.F.5BAB4ABABA2BA3B.F.8B3ABA3B2A3B.F23.F23.F23.F
$F.5B2AB3A6BA3B.F.6BA3B3ABAB2A3B.F.6BA5BABA2BA3B.F23.F23.F23.F23.F23.
F$F.7B3A3B2AB2A3B.F23.F23.F23.F23.F23.F23.F23.F!

amling · Post by **amling** » March 9th, 2024, 12:11 pm

amling wrote: ↑

March 1st, 2024, 9:31 pm

...here is a partial for a 2c/7d back for 2-staggered ants:

Code: Select all

x = 33, y = 154, rule = B3/S23
30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$
29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo
2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$
30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2b
o$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$
30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$30b2o$30b2o$
29bo2bo$29bo2bo2$30b2o$30b2o$29bo2bo$29bo2bo2$28b2o$28b2o$27bo2bo$27bo
2bo2$26b2o$26b2o$25bo2bo$25bo2bo2$24b2o$24b2o$23bo2bo$23bo2bo2$22b2o$
22b2o$21bo2bo$21bo2bo2$20b2o$20b2o$19bo2bo$19bo2bo2$18b2o$18b2o$17bo2b
o$17bo2bo2$16b2o$16b2o$15bo2bo$15bo2bo2$14b2o$14b2o$13bo2bo$13bo2bo2$
12b2o$12b2o$11bo2bo$11bo2bo2$10b2o$10b2o$9bo2bo$9bo2bo2$8b2o$8b2o$7bo
2bo$7bo2bo2$6b2o$6b2o$5b2obo$5bo4bo$4bo3bo2bo$5b2o6b3o$4bo4bo2b3o$3b3o
b2ob2o5bo$3bo3bobo6bo$2b2ob3o7bo$3bob3obob3o2bo2$bobo3b3o2bobo$bo6b2ob
o$o3b2ob2ob2o$b2ob2o5bo$5bo$6bo$7b2o!

To 120G got somewhat farther but still no completion:

Code: Select all

x = 281, y = 38, rule = LifeHistory
F39.F39.F39.F39.F39.F39.F22.B16.F$F39.F39.F23.B15.F23.B15.F22.2B15.F
22.2B15.F21.3B15.F$F23.2B14.F23.2B14.F22.3B14.F22.3B14.F21.4B14.F21.
4B14.F20.5B14.F$F22.4B13.F22.4B13.F21.A4B13.F21.5B13.F20.6B13.F20.6B
13.F19.A6B13.F$F21.A5B12.F21.A5B12.F20.7B12.F20.7B12.F19.8B12.F19.A7B
12.F18.BA7B12.F$F20.BA6B11.F20.8B11.F19.9B11.F19.9B11.F18.BA8B11.F18.
BA8B11.F17.11B11.F$F19.10B10.F19.10B10.F18.A10B10.F18.BA9B10.F17.2BA
9B10.F17.12B10.F16.A12B10.F$F18.A11B9.F18.A11B9.F17.2BA10B9.F17.2BA
10B9.F16.14B9.F16.A13B9.F15.2A13B9.F$F17.2A12B8.F17.2BA11B8.F16.A2BA
11B8.F16.15B8.F15.2A14B8.F15.2A14B8.F14.A2BA13B8.F$F16.A2BA12B7.F16.A
2BA12B7.F15.17B7.F15.2A15B7.F14.B2A15B7.F14.A2BA14B7.F13.BA2BA14B7.F$
F15.BA2BA13B6.F15.18B6.F14.B2A16B6.F14.B2A16B6.F13.BA2BA15B6.F13.BA2B
A15B6.F12.21B6.F$F14.20B5.F14.B2A17B5.F13.2B2A17B5.F13.BA2BA16B5.F12.
2BA2BA16B5.F12.22B5.F11.2B2A19B5.F$F13.2B2A18B4.F13.2B2A18B4.F12.2BA
2BA17B4.F12.2BA2BA17B4.F11.24B4.F11.2B2A20B4.F10.3B2A20B4.F$F12.3B2A
19B3.F12.2BA2BA18B3.F11.3BA2BA18B3.F11.25B3.F10.3B2A21B3.F10.3B2A21B
3.F9.3BA2BA20B3.F$F11.3BA2BA19B2.F11.3BA2BA19B2.F10.27B2.F10.3B2A22B
2.F9.4B2A22B2.F9.3BA2BA21B2.F8.4BA2BA20B3.F$F10.4BA2BA20B.F10.28B.F9.
4B2A22B2.F9.4B2A22B2.F8.4BABA21B3.F8.4BABA21B3.F7.5BA2BA19B4.F$F9.4B
6A19B.F9.4B2A3BA18B2.F8.5B2A3B2A16B3.F8.4BA4BABA16B3.F7.5BABABABA16B
4.F7.4B2A3BABABA14B4.F6.5B3A3BABA14B5.F$F8.8BABA18B2.F8.5BA4B2A16B3.F
7.6BA3B3A15B4.F7.5BA2BABA2BA14B4.F6.6B4AB5A12B5.F6.5BA6BA2BA12B5.F5.
6BA6BA2BA11B6.F$F7.6BABA4BA15B3.F7.7B3A18B4.F6.7B3A2BABA13B5.F6.7BAB
2A3B2A12B5.F5.7B5A3B2A11B6.F5.7BA5BA3BA10B6.F4.7B2A4B2ABABA9B7.F$F6.
6BA2BA6B2A11B4.F6.6BA6B2AB2A10B5.F5.9BA2B2AB2A11B6.F5.7BA9BA10B6.F4.
10B3A3BABA9B7.F4.7BA4BA2B2ABA9B7.F3.8BABA3BA2B2ABA7B8.F$F5.7B2A5B2ABA
BA9B5.F5.6BA3B2AB3A12B6.F4.7B2A2B4AB2ABA8B7.F4.11BA4BA2BA8B7.F3.8B2A
6BA3BA7B8.F3.8B3ABA2B2A4BA6B8.F2.8BA2B2A2BA3BA8B9.F$F4.8B2AB2AB2AB2A
10B6.F4.7BA4BA7BA7B7.F3.13B2A4B2A7B8.F3.8B2A5B2A4BA6B8.F2.10BA5B2AB4A
5B9.F2.9B3A4B2ABA8B9.F.10BAB2ABA12B10.F$F3.9B2A3B3A2B3A7B7.F3.12BA4B
4A7B8.F2.10BA2B2A3B4A2BA3B9.F2.11BA3BA2B2ABA6B9.F.12BA3BA2BA2B2A4B10.
F.15B2A2BA4BA3B10.F.11BA3B2A4BAB3AB11.F$F2.11BA2BABA8BA3B8.F2.10B2A2B
A3BA3B4A2B9.F2.11B3A3BA7BAB10.F2.11BA3B3A4BA2BAB10.F2.14B2ABA2B3A3B
11.F2.13BA3BAB2AB2ABA11.F2.13BABABA2B2A3B12.F$F3.11B3A2B2A3BAB2A2B9.F
3.11BA5B2AB2AB2AB10.F3.11B2AB2AB5A3B11.F3.14BA2B2A2BA2BA11.F3.11BAB2A
B2A5BA12.F3.13BA3B2A2B2AB12.F3.11B2A4B2A3BA13.F$F4.12B2AB2ABAB2A3B10.
F4.10BA2B3A2BA5B11.F4.10B2A2B2A2B2A3B12.F4.10B2A11B12.F4.10BA3B2A2B2A
2B13.F4.9B2A8BA2B13.F4.9B3A4BA4B14.F$F5.10BA5B4A2BA11.F5.10BA4BA6B12.
F5.12B2AB2A3BA13.F5.9B5AB2AB3A13.F5.9BA3B2A4BA14.F5.8B2A2BA3B4A14.F5.
7BA2BABA3B2AB15.F$F6.9BA6BABA2B12.F6.8B3A3BA3B2A13.F6.7BA2BA6BAB14.F
6.10BABA6B14.F6.7BA4BAB2A2B15.F6.7BA2BABABA3B15.F6.6BA5B2AB2A16.F$F7.
7BA2B2AB2A2BAB13.F7.6B3A3B3AB2A14.F7.6BA2BA2B4AB15.F7.5B2AB2A3BA3B15.
F7.6B5A5B16.F7.6B6A4B16.F7.5B2A7BA17.F$F8.5B2A5BA4B14.F8.5BA4BA4BA15.
F8.5BABA5B2A16.F8.6BA8B16.F8.11B2AB17.F8.5BA2BAB4A17.F8.5BA2BABABA18.
F$F9.5B2A3B2A2BA15.F9.7BA3BA2B16.F9.13B17.F9.5B3A2B2AB17.F9.5BA4B2A
18.F9.11BA18.F9.5B2ABA2B19.F$F10.4B2AB3A3B16.F10.4BA2B3A2B17.F10.5B2A
B3A18.F10.5B5AB18.F10.4BA2B2AB19.F10.4B2A2B2A19.F10.5B2ABA20.F$F11.5B
A4BA17.F11.5BABA2B18.F11.5BA2BA19.F11.9B19.F11.4BA3B20.F11.5B3A20.F
11.5BAB21.F$F12.4BA4B18.F12.5BA2B19.F12.4B3A20.F12.4BABA20.F12.5BA21.
F12.4BAB21.F12.4BA22.F$F13.5BAB19.F13.4BAB20.F13.5B21.F13.5B21.F13.4B
22.F13.4B22.F13.3B23.F$F14.4BA20.F14.4B21.F14.3B22.F14.3B22.F14.2B23.
F14.2B23.F14.B24.F$F15.3B21.F15.2B22.F15.B23.F15.B23.F39.F39.F39.F$F
16.B22.F39.F39.F39.F39.F39.F39.F!

It has finished quite a few rows which makes me hopeful a completion exists even if it is not in range of my tools and computers at this point in history.

amling · Post by **amling** » March 10th, 2024, 12:48 pm

amling wrote: ↑
February 14th, 2024, 8:50 pm

amling wrote: ↑
February 14th, 2024, 1:29 pm

Haycat2009 wrote: ↑
February 13th, 2024, 9:23 pm
(C)an you find a p3 in B2a3i/S12? It is the last period we need to prove omniperiodicity in that rule. (P3 is low, but soup search found nothing.)
The arbitrary width search did not complete in 8G.

I vaguely suspect there is nothing here but now this is gonna have to wait in line for real memory.
Partials to 60G for limited widths cut off extremely sharply just one bit later which makes me very suspicious there are no p3 oscillators:
Code: Select all
| ............*....... | ............*....... | ............*....... |
| ...........*....**.. | ...........*....**.. | ...........*....**.. |
| .................... | .........*.......... | .................... |
| .........**..*..**.. | .............*..**.. | .............*..**.. |
| .......*.**.*....... | .......*....*....... | .......*.**.*....... |
| ....*.*........**... | ....*.*..**....**... | ....*.*...*....**... |
| ...*........*....*.. | ...*....*.*......*.. | ...*.......*.....*.. |
| .......**.******.... | ......***.*....*.... | ........*.**..**.... |
| ...**..*.....*...... | ...****........*.... | ...**...*.....*..... |
| ....*..*...*........ | ...........*...**... | ........**.*..*..... |
| ....*.*.*...*..**... | ...**.*.**..*..*.... | ..*.....*...*.**.... |
| ....*...*.......**.. | ...**....**......... |                      |
Sadly, even at 60G the arbitrary width searches dies right before that point. I guess I'll put it in line for my one 120G box, but it's a long line...

120G made it only extremely slightly farther and also not quite to the critical point where limited width searches were ending.

amling · Post by **amling** » March 10th, 2024, 12:53 pm

C_R_116 wrote: ↑

February 27th, 2024, 6:00 pm

Here's some 2c/7 technology I've been working on.

I've been searching for a while for a new tagalong. Here's an interesting partial that looks like a Wickstretcher.

Code: Select all

x = 45, y = 56, rule = B3/S23
bo12bo15bo12bo$3o10b3o13b3o10b3o$3o10b3o13b3o10b3o3$3bo3b2o3bo19bo3b2o
3bo$bob4o2b4obo15bob4o2b4obo$bob4o2b4obo15bob4o2b4obo2$5b6o4b3o9b3o4b
6o$4b2o4b2o21b2o4b2o$4b2o4b2o21b2o4b2o$15b3o9b3o$16bo11bo$17bo9bo2$19b
o5bo$16b2ob3ob3ob2o$17b2o3bo3b2o$19b2obob2o$20b2ob2o$19b2o3b2o$20bo3b
o3$21b3o$20bo3bo$20bo3bo$21b3o2$21b3o$21b3o$19bo5bo$15b2o3b5o3b2o$13b
2obo11bob2o$14bo3b3o3b3o3bo$15b3o2b2ob2o2b3o$15bo2bo7bo2bo$15bo2b4ob4o
2bo$14bo4b3ob3o4bo$14bobob2obobob2obobo$18bo7bo$14bo4b3ob3o4bo$14bo3b
ob2ob2obo3bo$15b2o4bobo4b2o2$19b2o3b2o$20b2ob2o$19bobobobo$17bobobobo
bobo$16bo2bobobobo2bo$16b2obobobobob2o$19bobobobo$16b2obobobobob2o$16b
2obobobobob2o$20bo3bo!

My eyes are no doubt biased about these things but they see greyship front corner. Alas greyship edge search did not get very far even at 120G:

Code: Select all

x = 45, y = 75, rule = B3/S23
bo12bo15bo12bo$3o10b3o13b3o10b3o$3o10b3o13b3o10b3o3$3bo3b2o3bo19bo3b2o
3bo$bob4o2b4obo15bob4o2b4obo$bob4o2b4obo15bob4o2b4obo2$5b6o4b3o9b3o4b
6o$4b2o4b2o21b2o4b2o$4b2o4b2o21b2o4b2o$15b3o9b3o$16bo11bo$17bo9bo2$19b
o5bo$16b2ob3ob3ob2o$17b2o3bo3b2o$19b2obob2o$20b2ob2o$19b2o3b2o$20bo3bo
3$21b3o$20bo3bo$20bo3bo$21b3o2$21b3o$21b3o$19bo5bo$15b2o3b5o3b2o$13b2o
bo11bob2o$14bo3b3o3b3o3bo$15b3o2b2ob2o2b3o$15bo2bo7bo2bo$15bo2b4ob4o2b
o$14bo4b3ob3o4bo$14bobob2obobob2obobo$18bo7bo$14bo4b3ob3o4bo$14bo3bob
2ob2obo3bo$15b2o4bobo4b2o2$19b2o3b2o$20b2ob2o$19bobobobo$17bobobobobob
o$16bo2bobobobo2bo$16b2obobobobob2o$19bobobobo$16b2obobobobob2o$16b2ob
obobobob2o$17bobobobobobo$14bo3b2obobob2o3bo$13bobo5bobo5bobo$13bobo4b
2ob2o4bobo$21bobo$18b2obobob2o$18b2obobob2o$15bobo3bobo3bobo$14bob4obo
bob4obo$13b2obo4bobo4bob2o$13b2o3b2obobob2o3b2o$14b2o3bobobobo3b2o$18b
o2bobo2bo$15b2o2bobobobo2b2o$14bo2bobobobobobo2bo$14bo2bo3bobo3bo2bo$
17b2o2bobo2b2o$13b5o2b2ob2o2b5o$12bo2bo5bobo5bo2bo$12bo3b4obobob4o3bo!

amling · Post by **amling** » March 15th, 2024, 2:17 pm

Sokwe wrote: ↑

March 14th, 2024, 4:57 pm

A p20 c/4d spaceship might be possible by modifying the p28 puffer. Here is a way that a spark could theoretically be provided at c/4d that would result in a p20 spaceship:

Code: Select all

x = 66, y = 67, rule = B3/S23
50b2o$49b2o$51bo$53b2o$52bo$49b2o$48b2o$49bobo2bo$49b3obo$49b2o$46b2ob
o$45bo5bo$44bo3b4o$32bo10bo2b3ob2o$31b2o10bo2bo$31bobo5bo5b2o$38b6obo$
34b2o2bo2b2o2b2o$34b2o4b2o2b3o15bo$15bo8b2o35b2o$14b2o8bo2b3o6b2o3bo
19bobo$2o12bobo7bo5b3ob3o2bo$obo15b3o4bo6bob5o25b2o$o7bo8b2o3b2o6b3obo
28b3o$3bo3bob3o4bo6b2o2b2ob2o5b2o24bo$3b2obo3b2o3b4obobo6b3o5bobo$6b3o
5b2o4bo3bobo3b2o5bo10bo10b2obobo$12bo3bo6b2o22b5o6bo5bo$3bo3bobo7bo3bo
3bobo14b2o3bob2obo4bo3b2o$2b2obob3o2b2o3b2o2bo4bobo5bo6b2obo5bobo3bo2b
o$2bo3bo6b3o2bo6b2ob5obo3bo3b4o10bo$b2o5bo4b3o5bo8b2o4b4o2bo15bo$bo6bo
5b2o3bobo15b3ob2o2bo5bo3bo$2bo8b2o11b2o19b2o3b3o2bobo$8b5o10b2o13b2o5b
2o5bobo2bo$7b2o3bo11bobo10b2obo6bo3bo4b3o3b2o$7bo2b2o5b3o4bo12b2o9b2o
6b4ob2o$6bo5bo4bo8b2o20bo8bo4b2o$10bo7bo2b3o4bo33bo$8bo2b2o7bo2bo5b2o
3b2o22b2o2bo$7b3o13bo6bob3obo$8bo3b2o9bo6bo$8b4o6b3ob2o9b3o$9bobo4b2ob
o3bo8b2o$9b2o5bo4bobobo5b2o$9bobo5b2o3b3o6bobo3b3o$7b3ob3o9bo9b2o2bo$
6b2o4b2o18b3o4bo$8bo5bo7bo9bobo2b2o$12bobo6b2o9b2o$11bo2bo5bo3b2o6b2o$
11bo2bo5bob4o7bo$12bobo4b5o$16bo5bo$13b6o3bo$15b3o5b2o$18b2o2b2obo$12b
2o4b3o4bo$12bobo2bo3bo$12bo3b2ob2obobo$15b5ob3o$20bo4$21b3obo$25bo!

However, I don't know if a sufficient sparking ship exists in that limited space.

Is there some trick to finding these things? Is it just guess and check by simulating in golly, sparking by hand?

I sparked by hand and dumped out the full 5c/20 view of this. I then used pd_map to distinguish the 5c/20 rotor from the various c/4d support. Ultimately led to this input and constraint:

Code: Select all

|                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     |
|                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    | ..................     | ..................     | ..................     | ..................     |
|                        |                        |                        |                        |                        |                        |                        |                        |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |  ..................    |  ..................    |  ..................    |  ..................    | ..................     | ..................     | ..................     | ..................     |
|                        |                        |                        |                        |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |   ..................   |   ..................   |   ..................   |   ..................   |  ..................    |  ..................    |  ..................    |  ..................    | ..................     | ......*...........     | .....**...........     | .....**...........     |
|     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |    ..................  |    ..................  |    ..................  |    ..................  |   ..................   |   ..................   |   ..................   |   ..................   |  ..................    |  ......*...........    |  .....**...........    |  .....**...........    | *....***..........     | .....**...........     | *....*.*..........     | *...**............     |
|     .................. |     .................. |     .................. |     .................. |    ..................  |    ..................  |    ..................  |    ..................  |   ..................   |   ......*...........   |   .....**...........   |   .....**...........   |  *....***..........    |  .....**...........    |  *....*.*..........    |  *...**............    | ..*..*............     | *....*.*..........     | *....*............     | **....*...........     |
|     .................. |     .................. |     .................. |     .................. |    ..................  |    ......*...........  |    .....**...........  |    .....**...........  |   *....***..........   |   .....**...........   |   *....*.*..........   |   *...**............   |  ..*..*............    |  *....*.*..........    |  *....*............    |  **....*...........    | *.*...*...........     | ..*...............     | .*................     | .*................     |
|     .................. |     ......*........... |     .....**........... |     .....**........... |    *....***..........  |    .....**...........  |    *....*.*..........  |    *...**............  |   ..*..*............   |   *....*.*..........   |   *....*............   |   **....*...........   |  *.*...*...........    |  ..*...............    |  .*................    |  .*................    | ..**....*.........     | *.......*.........     | **................     | .*.....**.........     |
|     *....***.......... |     .....**........... |     *....*.*.......... |     *...**............ |    ..*..*............  |    *....*.*..........  |    *....*............  |    **....*...........  |   *.*...*...........   |   ..*...............   |   .*................   |   .*................   |  ..**....*.........    |  *.......*.........    |  **................    |  .*.....**.........    | .***...**.........     | .*..*.*..*........     | *.....****........     | ..*..**...*.......     |
|     ..*..*............ |     *....*.*.......... |     *....*............ |     **....*........... |    *.*...*...........  |    ..*...............  |    .*................  |    .*................  |   ..**....*.........   |   *.......*.........   |   **................   |   .*.....**.........   |  .***...**.........    |  .*..*.*..*........    |  *.....****........    |  ..*..**...*.......    | ..**..***.........     | .....**..*........     | .**..**.***.......     | ..*..*............     |
|     *.*...*........... |     ..*............... |     .*................ |     .*................ |    ..**....*.........  |    *.......*.........  |    **................  |    .*.....**.........  |   .***...**.........   |   .*..*.*..*........   |   *.....****........   |   ..*..**...*.......   |  ..**..***.........    |  .....**..*........    |  .**..**.***.......    |  ..*..*............    | ..*.**..*.........     | .**......*........     | ***...*..**.......     | *...*.**...*......     |
|     ..**....*......... |     *.......*......... |     **................ |     .*.....**......... |    .***...**.........  |    .*..*.*..*........  |    *.....****........  |    ..*..**...*.......  |   ..**..***.........   |   .....**..*........   |   .**..**.***.......   |   ..*..*............   |  ..*.**..*.........    |  .**......*........    |  ***...*..**.......    |  *...*.**...*......    | *...**.**.........     | **.*...*.*........     | ...**....**.......     | ....*...*..*......     |
|     .***...**......... |     .*..*.*..*........ |     *.....****........ |     ..*..**...*....... |    ..**..***.........  |    .....**..*........  |    .**..**.***.......  |    ..*..*............  |   ..*.**..*.........   |   .**......*........   |   ***...*..**.......   |   *...*.**...*......   |  *...**.**.........    |  **.*...*.*..*.....    |  ...**....**.......    |  ....*...*...*.....    | *....*.*.*..**....     | **..**...*..*.*...     | ***.**...**.......     | .*...*..*.........     |
|     ..**..***......... |     .....**..*........ |     .**..**.***....... |     ..*..*............ |    ..*.**..*.........  |    .**......*........  |    ***...*..**.......  |    *...*.**...*......  |   *...**.**.........   |   **.*...*.*........   |   ...**....**.......   |   ....*...*..*......   |  *....*.*.*.***....    |  **..**...*..*.....    |  ***.**...*****....    |  .*...*..*...*.....    | *.....*.*...***...     | .....**..*..*.*...     | .*.*..*..**.*.*...     | .*....*....*.*....     |
|     ..*.**..*......... |     .**......*........ |     ***...*..**....... |     *...*.**...*...... |    *...**.**.........  |    **.*...*.*..*.....  |    ...**....**.......  |    ....*...*.........  |   *....*.*.*........   |   **..**...*........   |   ***.**...**.......   |   .*...*..*..*......   |  *.....*.*.........    |  .....**..*..*.....    |  .*.*..*..**.......    |  .*....*.....*.....    | ***.*..**.........     | ..*.**..**...*....     | ...**.****...*....     | ..*****......*....     |
|     *...**.**......... |     **.*...*.*........ |     ...**....**....... |     ....*...*..*...... |    *....*.*.*.***....  |    **..**...*..*.....  |    ***.**...**.**....  |    .*...*..*.........  |   *.....*.*.........   |   .....**..*........   |   .*.*..*..**.......   |   .*....*...........   |  ***.*..**.........    |  ..*.**..**........    |  ...**.****........    |  ..*****...........    | *..**...*.........     | ....*...*.........     | ........**........     | ...*.**..*........     |
|     *....*.*.*........ |     **..**...*........ |     ***.**...**....... |     .*...*..*..*...... |    *.....*.*.........  |    .....**..*...*....  |    .*.*..*..**.......  |    .*....*....*......  |   ***.*..**.........   |   ..*.**..**........   |   ...**.****........   |   ..*****...........   |  *..**...*.........    |  ....*...*.........    |  ........**........    |  ...*.**..*........    | ...*...*..........     | ...*.*............     | ...*.*............     | ....*.............     |
|     *.....*.*....*.... |     .....**..*........ |     .*.*..*..**..*.... |     .*....*........... |    ***.*..**....*....  |    ..*.**..**........  |    ...**.****........  |    ..*****...........  |   *..**...*.........   |   ....*...*.........   |   ........**........   |   ...*.**..*........   |  ...*...*..........    |  ...*.*............    |  ...*.*............    |  ....*.............    | ....**.......???..     | ....*........???..     | ....*........???..     | ....*........???..     |
|     ***.*..**....*.... |     ..*.**..**..***... |     ...**.****...*.... |     ..*****.....**.... |    *..**...*.........  |    ....*...*.........  |    ........**........  |    ...*.**..*........  |   ...*...*..........   |   ...*.*............   |   ...*.*............   |   ....*.............   |  ....**.......???..    |  ....*........???..    |  ....*........???..    |  ....*........???..    | .............???..     | .............???..     | .............???..     | .............???..     |
|     *..**...*....*.... |     ....*...*......... |     ........**..*..... |     ...*.**..*........ |    ...*...*..........  |    ...*.*............  |    ...*.*............  |    ....*.............  |   ....**.......???..   |   ....*........???..   |   ....*........???..   |   ....*........???..   |  .............???..    |  .............???..    |  .............???..    |  .............???..    | .............???..     | .............???..     | .............???..     | .............???..     |
|     ...*...*.......... |     ...*.*.......**... |     ...*.*............ |     ....*............. |    ....**.......???..  |    ....*........???..  |    ....*........???..  |    ....*........???..  |   .............???..   |   .............???..   |   .............???..   |   .............???..   |  .............???..    |  .............???..    |  .............???..    |  .............???..    | .............???..     | .............???..     | .............???..     | .............???..     |
|     ....**.......???.. |     ....*........???.. |     ....*........???.. |     ....*........???.. |    .............???..  |    .............???..  |    .............???..  |    .............???..  |   .............???..   |   .............???..   |   .............???..   |   .............???..   |  .............???..    |  .............???..    |  .............???..    |  .............???..    | .............???..     | .............???..     | .............???..     | .............???..     |
|     .............???.. |     .............???.. |     .............???.. |     .............???.. |    .............???..  |    .............???..  |    .............???..  |    .............???..  |   .............???..   |   .............???..   |   .............???..   |   .............???..   |  .............???..    |  .............???..    |  .............???..    |  .............???..    |                        |                        |                        |                        |
|     .............???.. |     .............???.. |     .............???.. |     .............???.. |    .............???..  |    .............???..  |    .............???..  |    .............???..  |   .............???..   |   .............???..   |   .............???..   |   .............???..   |                        |                        |                        |                        |                        |                        |                        |                        |
|     .............???.. |     .............???.. |     .............???.. |     .............???.. |    .............???..  |    .............???..  |    .............???..  |    .............???..  |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |
|     .............???.. |     .............???.. |     .............???.. |     .............???.. |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |

Code: Select all

|                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     | uuuuuuuuuuuuuuuRRR     |
|                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    |  uuuuuuuuuuuuuuuRRR    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|                        |                        |                        |                        |                        |                        |                        |                        |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |   uuuuuuuuuuuuuuuRRR   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|                        |                        |                        |                        |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |    uuuuuuuuuuuuuuuRRR  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |     uuuuuuuuuuuuuuuRRR |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555.55555     | 555555555555555555     | 55555555555*.55555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555*55555    |  555555555555555555    |  55555555555.*55555    | 55555555555.**5555     | 555555555555*5*555     | 55555555555...5555     | 55555555555..55555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555.55555   |   555555555555555555   |   55555555555*.55555   |  55555555555***5555    |  555555555555*5.555    |  55555555555***5555    |  55555555555.*55555    | 555555555555***555     | 555555555555*.*555     | 555555555555*.*555     | 55555555555*.*5555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555*55555  |    555555555555555555  |    55555555555..55555  |   55555555555...5555   |   555555555555.5.555   |   55555555555...5555   |   55555555555*.55555   |  555555555555...555    |  555555555555*..555    |  555555555555...555    |  55555555555.*.5555    | 5555555555555.5555     | 555555555555.*.555     | 5555555555555*5555     | 555555555555.*5555     |
|     555555555555555555 |     555555555555.55555 |     555555555555555555 |     55555555555*.55555 |    55555555555***5555  |    555555555555*5.555  |    55555555555.**5555  |    55555555555..55555  |   555555555555...555   |   555555555555...555   |   555555555555...555   |   55555555555...5555   |  5555555555555.5555    |  555555555555...555    |  5555555555555.5555    |  555555555555..5555    | 5555555555555.5555     | 555555555555555555     | 555555555555.55555     | 555555555555555555     |
|     55555555555...5555 |     555555555555.5.555 |     55555555555...5555 |     55555555555*.55555 |    555555555555...555  |    555555555555.*.555  |    555555555555...555  |    55555555555*..5555  |   5555555555555.5555   |   555555555555...555   |   5555555555555.5555   |   555555555555..5555   |  5555555555555.5555    |  555555555555555555    |  555555555555.55555    |  555555555555555555    | 555555555555555555     | 5555555555555..555     | 555555555555555555     | 555555555555555555     |
|     555555555555.*.555 |     555555555555...555 |     555555555555.*.555 |     55555555555...5555 |    5555555555555*5555  |    555555555555...555  |    5555555555555.5555  |    555555555555..5555  |   5555555555555.5555   |   555555555555555555   |   555555555555.55555   |   555555555555555555   |  555555555555555555    |  5555555555555..555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     5555555555555*5555 |     555555555555***555 |     5555555555555*5555 |     555555555555**5555 |    5555555555555.5555  |    555555555555555555  |    555555555555.55555  |    555555555555555555  |   555555555555555555   |   5555555555555..555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     5555555555555*5555 |     555555555555555555 |     555555555555*55555 |     555555555555555555 |    555555555555555555  |    5555555555555..555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     5555555555555**555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    | 555555555555555555     | 555555555555555555     | 555555555555555555     | 555555555555555555     |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |  555555555555555555    |  555555555555555555    |  555555555555555555    |  555555555555555555    |                        |                        |                        |                        |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |   555555555555555555   |   555555555555555555   |   555555555555555555   |   555555555555555555   |                        |                        |                        |                        |                        |                        |                        |                        |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |    555555555555555555  |    555555555555555555  |    555555555555555555  |    555555555555555555  |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |
|     555555555555555555 |     555555555555555555 |     555555555555555555 |     555555555555555555 |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |                        |

Used together the boundaries will be whatever they would have been in the 5c/20 sparked-by-hand version and any cells in window for the search will either be fixed if they're in the 5c/20 "rotor" or arbitrary c/4d if they're not. This allows very extensive fusion-with and modification-of the existing c/4d support (even if none of the longest partials appear to have done so).

Unfortunately even so the longest partial I have been able to produce so far with various combination of top pad, left pad, and mid_steps is not very long:

Code: Select all

x = 681, y = 13, rule = LifeHistory
F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F.A5B
ABA3B3A12B5.F.5B2A2BA2BABA12B5.F.BABA2BA2B2ABABA12B5.F.BA4BA4BABA13B
5.F$F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F2.A5BABA18B4.F2.
5B2A2BA2BA14B4.F2.BABA2BA2B2A16B4.F2.BA4BA5BA14B4.F.3ABA2B2A18B5.F.2B
AB2A2B2A3BA13B5.F.3B2AB4A3BA13B5.F.2B5A6BA13B5.F$F33.F33.F33.F33.F33.
F33.F33.F33.F3.A5BABA18B3.F3.5B2A2BA17B3.F3.BABA2BA2B2A16B3.F3.BA4BA
20B3.F2.3ABA2B2A18B4.F2.2BAB2A2B2A17B4.F2.3B2AB4A17B4.F2.2B5A20B4.F.A
2B2A3BA10BA7B5.F.4BA3BA9B2A7B5.F.8B2A8B2A7B5.F.3BAB2A2BA7B3A7B5.F$F
33.F33.F33.F33.F4.A5BABA18B2.F4.5B2A2BA3BA13B2.F4.BABA2BA2B2A16B2.F4.
BA4BA4BA15B2.F3.3ABA2B2A18B3.F3.2BAB2A2B2A17B3.F3.3B2AB4A17B3.F3.2B5A
20B3.F2.A2B2A3BA10BA7B4.F2.4BA3BA9B2A7B4.F2.8B2A8B2A7B4.F2.3BAB2A2BA
7B3A7B4.F.3BA3BA10B2A7B5.F.3BABA12BA8B5.F.3BABA11B2A8B5.F.4BA11BA10B
5.F$F5.A5BABA4BA13B.F5.5B2A2BA17B.F5.BABA2BA2B2A2BA13B.F5.BA4BA20B.F
4.3ABA2B2A4BA13B2.F4.2BAB2A2B2A17B2.F4.3B2AB4A17B2.F4.2B5A20B2.F3.A2B
2A3BA10BA7B3.F3.4BA3BA9B2A7B3.F3.8B2A8B2A7B3.F3.3BAB2A2BA7B3A7B3.F2.
3BA3BA10B2A7B4.F2.3BABA12BA8B4.F2.3BABA11B2A8B4.F2.4BA11BA10B4.F.4B2A
7B2A3BAB2A5B5.F.4BA12BA2BA6B5.F.4BA11B2ABA7B5.F.4BA6B4A4BABA5B5.F$F5.
3ABA2B2A4BA13B.F5.2BAB2A2B2A2B3A12B.F5.3B2AB4A3BA13B.F5.2B5A5B2A13B.F
4.A2B2A3BA10BA7B2.F4.4BA3BA9B2A7B2.F4.8B2A8B2A7B2.F4.3BAB2A2BA7B3A7B
2.F3.3BA3BA10B2A7B3.F3.3BABA12BA8B3.F3.3BABA11B2A8B3.F3.4BA11BA10B3.F
2.4B2A7B2A3BAB2A5B4.F2.4BA12BA2BA6B4.F2.4BA11B2ABA7B4.F2.4BA6B4A4BABA
5B4.F.17BABA7B5.F.16B2ABA2BA4B5.F.10B8AB4A4B5.F.9B7ABABABA5B5.F$F5.A
2B2A3BA4BA5BA7B.F5.4BA3BA9B2A7B.F5.8B2A2BA5B2A7B.F5.3BAB2A2BA7B3A7B.F
4.3BA3BA10B2A7B2.F4.3BABA12BA8B2.F4.3BABA11B2A8B2.F4.4BA11BA10B2.F3.
4B2A7B2A3BAB2A5B3.F3.4BA12BA2BA6B3.F3.4BA11B2ABA7B3.F3.4BA6B4A4BABA5B
3.F2.17BABA7B4.F2.16B2ABA2BA4B4.F2.10B8AB4A4B4.F2.9B7ABABABA5B4.F.10B
2A4B2A2BAB2A3B5.F.9B7A3BA2B3A2B5.F.6BAB2A2BA6BA4BA2B5.F.6BABA8BABA2BA
4B5.F$F5.3BA3BA10B2A7B.F5.3BABA7B2A3BA8B.F5.3BABA11B2A8B.F5.4BA11BA
10B.F4.4B2A7B2A3BAB2A5B2.F4.4BA12BA2BA6B2.F4.4BA11B2ABA7B2.F4.4BA6B4A
4BABA5B2.F3.17BABA7B3.F3.16B2ABA2BA4B3.F3.10B8AB4A4B3.F3.9B7ABABABA5B
3.F2.10B2A4B2A2BAB2A3B4.F2.9B7A3BA2B3A2B4.F2.6BAB2A2BA6BA4BA2B4.F2.6B
ABA8BABA2BA4B4.F.6BAB2A2B4AB2A4B2A2B5.F.5B3AB2ABAB2A3B3AB2A2B5.F.4B3A
B2A2BA2BA2BA2BA5B5.F.4BABA2BA8B3ABABA2B5.F$F5.4B2A7B2A3BAB2A5B.F5.4BA
12BA2BA6B.F5.4BA11B2ABA7B.F5.4BA6B4A4BABA5B.F4.17BABA7B2.F4.16B2ABA2B
A4B2.F4.10B8AB4A4B2.F4.9B7ABABABA5B2.F3.10B2A4B2A2BAB2A3B3.F3.9B7A3BA
2B3A2B3.F3.6BAB2A2BA6BA4BA2B3.F3.6BABA8BABA2BA4B3.F2.6BAB2A2B4AB2A4B
2A2B4.F2.5B3AB2ABAB2A3B3AB2A2B4.F2.4B3AB2A2BA2BA2BA2BA5B4.F2.4BABA2BA
8B3ABABA2B4.F.5B2A5BABA2BABABA5B5.F.4B2A13B2A2BA3B5.F.4BA2BA11BA2B3A
2B5.F33.F$F5.17BABA7B.F5.16B2ABA2BA4B.F5.10B8AB4A4B.F5.9B7ABABABA5B.F
4.10B2A4B2A2BAB2A3B2.F4.9B7A3BA2B3A2B2.F4.6BAB2A2BA6BA4BA2B2.F4.6BABA
8BABA2BA4B2.F3.6BAB2A2B4AB2A4B2A2B3.F3.5B3AB2ABAB2A3B3AB2A2B3.F3.4B3A
B2A2BA2BA2BA2BA5B3.F3.4BABA2BA8B3ABABA2B3.F2.5B2A5BABA2BABABA5B4.F2.
4B2A13B2A2BA3B4.F2.4BA2BA11BA2B3A2B4.F33.F33.F33.F33.F33.F$F5.10B2A4B
2A2BAB2A3B.F5.9B7A3BA2B3A2B.F5.6BAB2A2BA6BA4BA2B.F5.6BABA8BABA2BA4B.F
4.6BAB2A2B4AB2A4B2A2B2.F4.5B3AB2ABAB2A3B3AB2A2B2.F4.4B3AB2A2BA2BA2BA
2BA5B2.F4.4BABA2BA8B3ABABA2B2.F3.5B2A5BABA2BABABA5B3.F3.4B2A13B2A2BA
3B3.F3.4BA2BA11BA2B3A2B3.F33.F33.F33.F33.F33.F33.F33.F33.F33.F$F5.6BA
B2A2B4AB2A4B2A2B.F5.5B3AB2ABAB2A3B3AB2A2B.F5.4B3AB2A2BA2BA2BA2BA5B.F
5.4BABA2BA8B3ABABA2B.F4.5B2A5BABA2BABABA5B2.F4.4B2A13B2A2BA3B2.F4.4BA
2BA11BA2B3A2B2.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F$
F5.5B2A5BABA2BABABA5B.F5.4B2A13B2A2BA3B.F5.4BA2BA11BA2B3A2B.F33.F33.F
33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F33.F!

The pd_fold 5 view shows 5.25 Y rows of c/4d cells:

Code: Select all

| *.....*.*...!!!............ | .....**..*..!!!............ | .*.*..*..**.!!!............ | .*....*....!!!............. |
| ***.*..**....!............. | ..*.**..**..!!!............ | ...**.****...!............. | ..*****.....!!............. |
| *..**...*....!.....*....... | ....*...*.........**....... | ........**..!.....**....... | ...*.**..*.......***....... |
| ...*...*..........**....... | ...*.*.......!!...*........ | ...*.*...........**........ | ....*...........*.......... |
| ....**.......**...*.**..... | ....*............*..*...... | ....*...........**.*....... | ....*......****....*.*..... |
| .................*.*....... | ................**.*..*.... | ..........********.****.... | .........*******.*.*.*..... |
| ..........**....**..*.**... | .........*******...*..***.. | ......*.**..*......*....*.. | ......*.*........*.*..*.... |
| ......*.**..****.**....**.. | .....***.**.*.**...***.**.. | ....***.**..*..*..*..*..... | ....*.*..*........***.*.*.. |
| .....**.....*.*..*.*.*..... | ....**.............**..*... | ....*..*...........*..***.. |                             |

It's my guess there is no c/4d extension of that and I'm not very optimistic even about the most general framing of just fixing the 5c/20 rotor and allowing arbitrary c/4d in any direction.

I also tried flipping this across the NW/SE axis to search the other "down" direction but those partials aren't even getting through the rotor.

Post by **Sokwe** » March 15th, 2024, 5:12 pm

amling wrote: ↑
March 15th, 2024, 2:17 pm

Sokwe wrote: ↑
March 14th, 2024, 4:57 pm
A p20 c/4d spaceship might be possible by modifying the p28 puffer. Here is a way that a spark could theoretically be provided at c/4d that would result in a p20 spaceship:
Is there some trick to finding these things? Is it just guess and check by simulating in golly, sparking by hand?

Yes, guess and check by simulating in Golly is generally my method. I was doubtful about the viability of that particular spark placement, but I wanted to show that some p20 c/4d object could maybe be constructed using a known engine. I wouldn't be surprised if there is some c/4d ship that could successfully suppress the p28 output to give a p20 ship or puffer, but I couldn't find any other clear options. I at first tried to remove the blinker from the bottom where there is more room, but unfortunately there is a catastrophic early interaction 16 generations later:

Code: Select all

x = 177, y = 82, rule = B3/S23
50b3o107b3o$50bo109bo$51bo109bo$53b2o108b2o$54bo109bo$49b3o107b3o$49bo
109bo$52b2o108b2o$49bo2b2o105bo2b2o$52bo109bo$47bob2o106bob2o$46b3o3bo
103b3o3bo$45b3obo3bo101b3obo3bo$32b2o10b4obo2bo89b2o10b4obo2bo$32bobo
10bo96bobo10bo$32bo6b2obobob2o94bo6b2obobob2o$35bo3bo4bo100bo3bo4bo$
35b2o2bo105b2o2bo$35b2o4b3obobo14b2o81b2o4b3obobo14b2o$15b2o8b2o2bo6b
2o3b2o3bo15bobo60b2o8b2o2bo6b2o3b2o3bo15bobo$15bobo6b2o3b4o4b2o23bo62b
obo6b2o3b4o4b2o23bo$b2o12bo4bo4b2o2b5obo29bo45b2o12bo4bo4b2o2b5obo29bo
$2o17b2o3b2o12b2o24bobo43b2o17b2o3b2o12b2o24bobo$2bo6b3o6b2o3b2o5b2obo
bo28bobo45bo6b3o6b2o3b2o5b2obobo28bobo$4b2o2b3obo3bo3bobo2bo3bo8b2o24b
o49b2o2b3obo3bo3bobo2bo3bo8b2o24bo$4b4o4bo2bo2bobobo2b2ob2o3bo3b2o25bo
49b4o4bo2bo2bobobo2b2ob2o3bo3b2o25bo$6b3o3bo2bo4bobo2b2o3bobo6bo8b2obo
8bo3bo51b3o3bo2bo4bobo2b2o3bobo6bo8b2obo8bo3bo$7bo8b2o6b2obo20bo3bo6b
3obo53bo8b2o6b2obo20bo3bo6b3obo$3b3ob2obo2b2o2b3o3bob4o13b3o3bo4bo4b2o
53b3ob2obo2b2o2b3o3bob4o13b3o3bo4bo4b2o$3b3o2bobo2b2o2b3o9bob2obo7bo3b
o3b2o5b2o54b3o2bobo2b2o2b3o9bob2obo7bo3bo3b2o5b2o$7bo2bo5b4o6b2obo3b2o
bo2b2o4b2o11bo58bo2bo5b4o6b2obo3b2obo2b2o4b2o11bo$2b2o4bo8bo3bo11bo3bo
3bo4bo65b2o4bo8bo3bo11bo3bo3bo4bo$2bo10bo2bo4bo15bo2b4o2b2o3b3o3bo54bo
10bo2bo4bo15bo2b4o2b2o3b3o3bo$9bo3b2o9b3o11bo2bo3bo5bob4o62bo3b2o9b3o
11bo2bo3bo5bob4o$8b4o2bo9bo13b3o5bobo2bob2obo61b4o2bo9bo13b3o5bobo2bob
2obo$8bo4bo5bo5bo21b3o6bo3bob3o53bo4bo5bo5bo21b3o6bo3bob3o$7b3o2b2o4b
2o7b2o9b3o7b3o9bobo54b3o2b2o4b2o7b2o9b3o7b3o9bobo$11bo6bobo2b2o3bo20b
2o6b2o5bo56bo6bobo2b2o3bo20b2o6b2o5bo$13bo8b3o3b3o28bo2b2o59bo8b3o3b3o
28bo2b2o$8b2ob2o9bob2o4b3o2b2o81b2ob2o9bob2o4b3o2b2o$8bobobobo8b3o5bo
2b2o49bob3o28bobobobo8b3o5bo2b2o$12b2o6bo3b2o6b2o48bo2bobo34b2o6bo3b2o
6b2o$9bo2bo5b4ob3o7b3o45b3obob3o29bo2bo5b4ob3o7b3o$12bo4b2obobobo7bo
49bo2bobobo32bo4b2obobobo7bo$9b2obo4bo14bo6bo45bob3o29b2obo4bo14bo6bo$
12bo5bo13bob2o2b2o82bo5bo13bob2o2b2o$7b2obobobo8b3o12bobo76b2obobobo8b
3o12bobo$7bo2bobo2bo17bo2bobo78bo2bobo2bo17bo2bobo$8bo4bobo6b2o8bo2bo
3bo78bo4bobo6b2o8bo2bo3bo$15b2o5b3o7bo2bo89b2o5b3o7bo2bo$12b2ob2o4bo4b
o8bo86b2ob2o4bo4bo8bo$12b2ob2o9bo6b2o87b2ob2o9bo6b2o$14bobo3b2o102bobo
3b2o$17bob3o105bob3o$15bo3bo3bo101bo3bo3bo$20bo4bo104bo4bo$17bo3bob2ob
o100bo3bob2obo$13b2o3bo2b3obo97b2o3bo2b3obo$12b2o3b2o3bo99b2o3b2o3bo$
14bo5bo103bo5bo$16bo6b2o101bo6b2o$17b7o103b7o3$23bo107b2o$23bo14bo94bo
14bo$23bo7b2o3b3o92b2o8b2o3b3o$30b2o2b2o104b2o2b2o$19b2ob2o7bobo4bo90b
2ob2o7bobo4bo$19bo11bo3b2obo90bo11bo3b2obo$19bo5bo5bo5b2o90bo5bo5bo5b
2o$20b5obob4o3b2obo91b5obob4o3b2obo$11bo3b3o2b3o5bo2bob3o2bo82bo3b3o2b
3o5bo2bob3o2bo$12b2ob4o3bo4bo2bob2o88b2ob4o3bo4bo2bob2o$12b2o4b2o2bo7b
o2b4o85b2o4b2o2bo7bo2b4o$15b2ob3o14b2o88b2ob3o14b2o$11b2obo6bo99b2obo
6bo$14bo2bobobo102bo2bobobo$11bo6b2o101bo6b2o$14bobo2b2o103bobo2b2o$
15bo3b2o104bo3b2o$19bo109bo!

amling · Post by **amling** » March 16th, 2024, 3:54 am

On a silly whim I tried to find a c/4d ship that was "glider-free" for fairly strong notions of glider-free. Ultimately I was unable to complete anything although there are a lot of very long and viable-seeming partials.

The stronger glider-free definition was to disallow any 3x3 box, in any generation, to contain, even as a subset, the cells of a glider (oriented in the right direction anyway).

Even this strong notion produced fairly long partials, e.g.:

Code: Select all

x = 161, y = 48, rule = LifeHistory
F.37B.F.37B.F.37B.F.37B.F$F.37B.F.37B.F.37B.F.37B.F$F.37B.F.37B.F.37B
.F.12BA24B.F$F.12BA24B.F.9BAB2A24B.F.9BAB3A23B.F.8BABABA24B.F$F.8B3AB
3A22B.F.7B3AB2ABA22B.F.7BABA27B.F.6B2ABA3BA23B.F$F.7B2A5BA22B.F.7BA3B
A2BA22B.F.6B2A2B2A2BA22B.F.6BA2B3ABA23B.F$F.7BA4B2A23B.F.7BA4B2A23B.F
.7B2A2B3A23B.F.8BABA26B.F$F.5BABABA3BABA21B.F.4B2ABA2BA2BABA21B.F.4B
3A5B3A22B.F.3B4ABA2BA2B2A21B.F$F.4B3A2BABA3B3A19B.F.4BA12BA19B.F.3B2A
3BA5BABA20B.F.3BA4B2A4B2ABA19B.F$F.6BAB3A4B2A20B.F.3BA2B3A2BA2BA2BA
19B.F.3BA2B4A7B2A18B.F.2B2A13BA19B.F$F.3B2A4B2A4BA21B.F.4B2A2BABA3BA
3BA18B.F.3BA4B2A27B.F.6BA2BA4BAB3A18B.F$F.5BA9B5A17B.F.3BAB2A10B4A16B
.F.7BA5B3ABA2BA16B.F.2B3A3BA4BABA21B.F$F.3BAB2A6B2ABA2B2A16B.F.5BABA
5B2ABA2B2A16B.F.2B2ABA7B3ABA19B.F.2B2ABA6B2ABA2BABA16B.F$F.3BA2B2A6BA
22B.F.2B2A8BABA4BA17B.F.3BAB2A4BA7BABA15B.F.5B2A4BABA23B.F$F.3BA2B2A
3B2A3BA3B3A14B.F.4B2A5B3ABA5B2A14B.F.3B2A6B2A2B2A20B.F.3B2A3B2AB2ABAB
A3B2A15B.F$F.5BAB2A2B2A2BA6BA14B.F.7B2ABA3B2ABA19B.F.6B5A3B3A4B3A13B.
F.6BA6B2ABA5BA14B.F$F.11B2AB2AB2A3B3A12B.F.7B2A2B2A9BABA12B.F.7B2AB2A
BA23B.F.11BA4BA6B2A12B.F$F.8BA5B2A8B3A10B.F.10BA3B3A9B2A9B.F.7BA2BA4B
A7BABABA9B.F.7B2ABA3BA9B2ABA9B.F$F.9BAB2A11BAB2A9B.F.8B3A13BA3BA8B.F.
10BA4BA9B2ABA8B.F.9B2A14BA2BA8B.F$F.9BA16BAB2A7B.F.10BABA10BA2BABA8B.
F.10B2A11BA3BA9B.F.10B3A10BA3BA9B.F$F.13BA9B3A11B.F.24B2A11B.F.11BABA
9B3A11B.F.10B2A10B2A13B.F$F.11BA25B.F.12BABA8BA13B.F.13BA9BA13B.F.13B
A8B2ABA11B.F$F.13BABA7BA13B.F.14BA9B2A11B.F.13B3A7BABA11B.F.13BABA8BA
12B.F$F.15BA8B3A10B.F.15BA8B2A11B.F.15BA21B.F.26BA10B.F$F.15BABA19B.F
.16BA8B2A10B.F.15B3A6B3A10B.F.15BABA6BABA10B.F$F.27BA9B.F.16BABA18B.F
.17BA6BABA10B.F.24BABABA8B.F$F.17BABA4B2A2BA8B.F.24B2A2BA8B.F.17B3A7B
3A7B.F.17BABA4BA4BA7B.F$F.25BAB2A8B.F.18B2A7B3A7B.F.18B2A4B6A7B.F.17B
ABA5B2A10B.F$F.18BABA4B2A3BA6B.F.18BA6BA5B2A4B.F.30B2ABA3B.F.18BA5BA
4B3A5B.F$F.18B2A6BA4B3A3B.F.17B2A7B2A3B3A3B.F.17BA7BABA3BABA3B.F.17BA
13BAB2A2B.F$F.18BA7BA5BABA2B.F.18B2A6B2A6BA2B.F.17B3A11BA2BA2B.F.17BA
BA4BABA5BA4B.F$F.25B2A4BAB2A2B.F.24B3A4BA2BA2B.F.19BA3B2A2BA9B.F.19BA
2B3A5B2A5B.F$F.20BAB2ABA5B3A3B.F.20BAB2ABA5BA5B.F.22B2A6B2A5B.F.19B2A
BA3BA4BA5B.F$F.20B2ABABABA4B2A3B.F.19BA3BABABA3BABA3B.F.19B2A2BABABA
4BA4B.F.20BA4B2A4BA5B.F$F.20B3A3B2A9B.F.20BABA3B2A9B.F.21B2AB2A2BA8B.
F.25BA11B.F$F.37B.F.22B2A2B2A9B.F.21B3ABA11B.F.21BABAB2A10B.F$F.22BAB
A2BA9B.F.26BA10B.F.25BA2BA8B.F.21B2ABABA10B.F$F.25BABA9B.F.25BAB2A8B.
F.20BA6BA9B.F.19B2ABA4B2A8B.F$F.20BA5BA2BA7B.F.19B3AB4A10B.F.19B5A2B
2A9B.F.19BAB2A3B2A9B.F$F.19B2AB3A12B.F.20BABABA12B.F.19BA6BA10B.F.17B
A5BA2B2A9B.F$F.17B3A2BABABA10B.F.17BA3B2ABABA10B.F.16B4A2BA14B.F.16B
2A4B2A2BA10B.F$F.16BA2BA5B2A10B.F.16B2AB2A5BA10B.F.15BA3B5ABABA9B.F.
15B3A4B2A2B2A9B.F$F.15BA3BA3B2A2B2A8B.F.12BAB2AB3A3BA4BA8B.F.11BA2BA
4B2A5BABA8B.F.11BA2B2A2BA9BA8B.F$F.11B3AB2ABA4B2AB2A9B.F.10B2A3B2A9B
3A8B.F.9B3A2BA3BA4B4ABA8B.F.9BAB2A8BA2BABA10B.F$F.9BAB4A7B3A12B.F.8B
2A6BA5BAB2ABA9B.F.8BA2BA8B2A3BA11B.F.7B2A3BA4BA2BAB2A13B.F$F.8B3A4BA
3BA8BA8B.F.8B3A4B3AB3A6BA8B.F.7B2AB2A2BA2B3A3BA2BABA8B.F.6BA3B6A2B4AB
2ABABA8B.F$F.7BA4B2A2B4AB2A3B3A8B.F.6BA3BAB2AB2A2B4A4B2A8B.F.6B3A3BAB
2A6B2A3B2A8B.F.6BA7B2A2BA4BABABA9B.F$F.6B3A2B2A3BABA3BA14B.F.5BABA2B
2A6BA4B2A12B.F39.F39.F!

I tried splitting and solving just one side of the obvious symmetric split:

Code: Select all

x = 59, y = 60, rule = B3/S23
9bo$5b3ob3o$4b2o5bo$4bo4b2o$2bobobo3bobo45bo$b3o2bobo3b3o43bo$3bob3o4b
2o43bo$2o4b2o4bo42bo$2bo9b5o35bob2obo$ob2o6b2obo2b2o33b3obob2o$o2b2o6b
o39bo2bo2b2o$o2b2o3b2o3bo3b3o33b2obo$2bob2o2b2o2bo6bo25bo5bo2bob3o$8b
2ob2ob2o3b3o22bob3ob2obobo2bo$5bo5b2o8bo21bo4bob2obo4bo$6bob2o11b3o2b
2o14b2ob4obo2b2ob3o$6bo16b2o2bo18bo3bo3bobo$10bo12b2o2b2obo11b3o9b2o$
8bo21bo18b2o3bob2o$10bobo18b2o3bob3obobo7b2ob2o$12bo17b3o3bo8bo4bo4bo
2bo$12bobo19b2o3b7o4bob2o4bo$31b2o5b3o5bo3bo3bo$14bobo13bo7b2o3bo3bob
2o$31b2o5bo3bo10bo$15bobo20bo2bo7bo$15b2o21bo4bo6bo$15bo24bo2bo2$17bo$
17b3o$17b3ob3o$22b2o$19b2o$19b3o$20b2o2$19b3o2bo$19bo3bobo$18bo2bobo$
19b2o4b2o$18b2o$22bob2o$14b5ob3o2bo$13bo3b2ob3o2bo$12b2obo$15bo4bo$11b
o3b2o3bobo$15b2o$12b3obo6b2o$14b2obo3bo3bo$9bobo5bobobo2bo$8b3obo3bobo
bob2o$8bo2bobob2obobo$10b2o3bo2bob3o$7bo2bo4bo2bo2b2o$7b2ob2o8b2o$7bob
o2bo2b3o2b2o$5bo2b2o4b2o2bobo$5b2obo2bo3bo2bob2o!

The weaker notion was to refuse any 3x3 box to be exactly a glider (oriented in the right direction), but to allow strict supersets. This, unsurprisingly, had even longer partials:

Code: Select all

x = 137, y = 61, rule = LifeHistory
F.31B.F.31B.F.31B.F.31B.F$F.31B.F.31B.F.31B.F.31B.F$F.31B.F.31B.F.31B
.F.18B2A11B.F$F.18BABA10B.F.31B.F.17B4A10B.F.17B3A11B.F$F.17BA13B.F.
16B6A9B.F.16BA5BA8B.F.16B4ABA9B.F$F.16B2A2B2ABA7B.F.16B2AB4A8B.F.15BA
6BA8B.F.14B2A6B2A7B.F$F.15BA2B2ABA2BA6B.F.15BA2B2ABA9B.F.14B2ABA3B2A
8B.F.14B2A5B2A8B.F$F.14BA2BA3BA9B.F.14B2A3BA11B.F.13BA2BA2BA11B.F.14B
ABA2BAB2A8B.F$F.14BA4BA11B.F.13B3A3BABA9B.F.16BAB2ABA9B.F.14B5A2BA9B.
F$F.14BA3B3ABABA6B.F.13B3A2BABABABA6B.F.13BABA3B2ABA8B.F.14B2A3BA2B2A
7B.F$F.14BA5BAB3A6B.F.22BABA6B.F.15B3A3B2ABA6B.F.14B3ABA3BA8B.F$F.17B
ABABA9B.F.15BAB3A3BA3BA3B.F.19B2A2BA3BA3B.F.15BA3B2AB4ABA3B.F$F.15B3A
2B2A4B3A2B.F.16B3AB3A3BABA2B.F.15BA4BA3BABABA2B.F.21BAB2ABABA2B.F$F.
22BA4B2A2B.F.16BA3BAB2ABA2BA2B.F.16BA2B2A3BABABA2B.F.19B2A10B.F$F.21B
AB2ABA4B.F.22B2A3BA3B.F.31B.F.23BABA5B.F$F.31B.F.22B3A6B.F.22BABA6B.F
.31B.F$F.23BA7B.F.31B.F.31B.F.21B2A8B.F$F.23BA7B.F.22B3A6B.F.21B2ABA
6B.F.23BA7B.F$F.22BABA6B.F.21B2ABA6B.F.24BA6B.F.21BAB3A5B.F$F.21B2ABA
2BA3B.F.21B2A8B.F.20BA4BA5B.F.20B2A2B3A4B.F$F.27BA3B.F.21BAB3AB2A2B.F
.20B2A3B2A4B.F.20B3A8B.F$F.20BA3B2ABA3B.F.21BAB3A5B.F.21BABAB2A4B.F.
19BABABA2BA4B.F$F.20BABAB2A5B.F.19B2A10B.F.18B2A3B2A6B.F.18BA4BABA5B.
F$F.18BA2BA2B2A5B.F.17B2AB3A8B.F.17BA5BA7B.F.17B3A2BA8B.F$F.17B2ABA2B
2A6B.F.17B2AB4ABA5B.F.16BA3BA2B2A6B.F.15B2A2BA2BA8B.F$F.16BA3BA2BA7B.
F.16BABA4BA7B.F.15B2ABABA2B2A6B.F.15B2A6B2A6B.F$F.15BA2BA5BA6B.F.15B
2ABABA10B.F.14BA3BA12B.F.11BA3BA2BA12B.F$F.12B2A2BAB3A10B.F.11BABAB2A
BA12B.F.10B3A5BA12B.F.10BAB2ABA2B2A11B.F$F.11B3ABA2BA12B.F.10B2A3BA2B
ABA10B.F.9BAB2A2B2ABA12B.F.9BA8B2A11B.F$F.9B2A3BA3BABA10B.F.9B2A3BA3B
A12B.F.8BA2BA6BA12B.F.8B2AB2A4BA13B.F$F.8BA3BA6BA11B.F.8B2A9BA11B.F.
7BA2BA20B.F.7B4A20B.F$F.7BA23B.F.7B2A22B.F.6BA2BA21B.F.6B5A20B.F$F.7B
A3BA19B.F.6B2A23B.F.6BA2BA21B.F.31B.F$F.6BA4BA19B.F.6BABABA20B.F.31B.
F.5B3ABA21B.F$F.6BAB2A21B.F.5B5A21B.F.5B2ABABA20B.F.5B2ABA22B.F$F.5BA
3B2A20B.F.10BA20B.F.6B4A21B.F.5B2ABA2BA19B.F$F.9BA21B.F.31B.F.10B2A
19B.F.6B2A3BA19B.F$F.5BA2B2A2B2A17B.F.8B3ABA18B.F.5BA3BABA19B.F.4B2A
3BABA19B.F$F.5BA5BA19B.F.4B3A5BA18B.F.4B2A3BABABA17B.F.4B2A25B.F$F.4B
ABA24B.F.4BA9BA16B.F.13BA17B.F.3BA9BA17B.F$F.4BA8B3A15B.F.3B2A9BA16B.
F.3B3A7B3A15B.F.4B2A6B2ABA15B.F$F.4BABA24B.F.5BA7BABA15B.F.5BA7BABA
15B.F.3BABA6B2ABA15B.F$F.13BA2BA14B.F.3B3A8B2A15B.F.3BA9BA17B.F.5B2A
7BA16B.F$F.3B2A3BA5B2A15B.F.3B3ABA6B3A14B.F.3BAB2A24B.F.2B2AB3A23B.F$
F.3B2ABABA7BA14B.F.8BA6B2A14B.F.3BAB2ABA5BA16B.F.3BA11B2A14B.F$F.4BA
2BA9BA13B.F.4BA2B2A3BA3B2A13B.F.4B2ABA4BA2B3A13B.F.3BA5BA2BA4BA13B.F$
F.4BA4BAB3A3BA13B.F.4B2A2B2ABABA17B.F.4B2AB3A2B2AB2A14B.F.4B2ABABAB2A
18B.F$F.5BA3B2AB2A17B.F.14BABABA12B.F.8BABA2B2ABA14B.F.10BA5BA14B.F$F
.7B2AB4A2B3A12B.F.8BABA3B3ABA12B.F.8BAB2ABA2BAB2A11B.F.7B2A4BAB2AB2A
11B.F$F.14BAB2ABA11B.F.8B4A2B2A3BA11B.F.8BAB2ABA3BABA11B.F.13B2A2BA
13B.F$F.9BA3BA3B3A11B.F.13BA3BABA11B.F.11B3A5B2A10B.F.9BA3B2A16B.F$F.
14B2A15B.F.10BA2B3ABABA11B.F.10B2A3BA3B2A10B.F.10BA7BA2BA9B.F$F.10B2A
2BA3BA2B2A8B.F.10B2AB3A4BABA8B.F.11BA5BA2BA10B.F.9BA2BA3B2A2B2A9B.F$F
.10BA2BA3BA2B3A8B.F.9B2A2B3AB4ABA8B.F.9B3A5B2A3BA8B.F.10B3A3B3A12B.F$
F.10BA3BABA2BA11B.F.13B2ABABAB2A9B.F.13BA2BA14B.F.10B3A3BA14B.F$F.14B
AB2A13B.F.16BA2B2A10B.F.12BA3B3A2BA9B.F.11BA2BA3B3A10B.F$F.17B3ABA9B.
F.12B2ABA3BA11B.F.11B3AB2A2B2A10B.F.11BA3B2A2B2A10B.F$F.11B3A2BABA12B
.F.11B2A3BA14B.F.13B2A4BA11B.F.11BA6B2A11B.F$F.10BA4BAB2A12B.F.9B3A3B
5A11B.F.9BA2BABA4BA11B.F.8B5AB2A2B3A10B.F$F.8B2A3B2A4BABA9B.F.8BABA3B
4ABA11B.F.7B2AB2A2BA4BA11B.F.7B2ABABA18B.F$F.8B2A6BA2BABA9B.F.7B2A22B
.F.8BABABA18B.F.10BAB2ABA3BA11B.F!

There is also an obvious front symmetric split which has a possible wave and then very long partials:

Code: Select all

x = 169, y = 169, rule = B3/S23
167b2o$166b2o$162bobo2bo$161b2obo3bo$157b2obo3bo$157bo6bo3bo$157bobo5b
3o$154b2ob2ob2o3bob2o$154bo8bobobo$153bo2b2o3bo$154b3o3b3ob2obo$153bob
2o2bobo2bobobo$155bo3b2o$151b2obo11bo$134b3o15b2obo4b2o5bo$134bo2b3o3b
o13b2o3b6o$135b2ob5ob2o4b2o7b2o2b3obo$134b3ob2obob4ob2o9b2o$138b2obobo
3b2ob3obobobo3b2o$133bo7bo2b4o8bo$126b2o4b2o3b5o5bo4bo5b2o$124b2o2bo3b
o3bo3bo3b2obo5b3o$124b6obobo12b2o$120bo3bobob2o3b2ob5o$107b2o10b3obo3b
o2b2o2b4ob2ob2o2bo4b3o$107b4o7b2o6bo3bob3o5bo4b3o2bobo$105bo5bo5b2o8bo
3b3o6b2o4bo$101b3obo2bo8bobo7b2obo9bo6b2o2bo$100bo2b2o14bo7b2ob2o12b2o
2bo$99bo7b2o19bo22bo$99bo9b3o5bob2o6bo3bo17bobo$101bo7b4o6bo3bo3b2o2bo
$99bobo8b2o8b2o3bo$99b2o12bobo2bo3bobo2b2o$98bo12bob3o3b7o$97bo14bo4b
2ob5o3bo$100bo12bo9b2o3bo$96b2o16bob2ob2o$93bob2o19bo2bobo3b2o$89b3obo
24bo$88bo2b2o2bo$87bo$87bo$89bo$87bobo$87b2o$86bo$85bo$88bo$84b2o$81bo
b2o$77b3obo$76bo2b2o2bo$75bo$75bo$77bo$75bobo$75b2o$74bo$73bo$76bo$72b
2o$69bob2o$65b3obo$64bo2b2o2bo$63bo$63bo$63b2o$64bo$62b2o2$62bobo$61b
2o$59bobo$58bo$53b2ob2o$52bo4bo2bo$51bo3b2o$51bo$51b2o$52bo$50b2o2$50b
obo$49b2o$47bobo$46bo$41b2ob2o$40bo4bo2bo$39bo3b2o$39bo$39b2o$40bo$38b
2o2$38bobo$37b2o$35bobo$34bo$29b2ob2o$28bo4bo2bo$27bo3b2o$27bo$27b2o$
28bo$26b2o2$24b2o3bo$24b2obobo$25bo4b2o$25bo4b3o$26bo3b3obo$31bo3bo$
33b2obo$34bo2bo$33b2o$37b2o$26b2o2bo4bobo$25b2o6bobo3bo$24b2ob2ob2o2bo
2b2o$23b2o5bobob2obo$24bo7bob2o2bo$33b3o$24bo6bo2b3o$21b3o9b4o$21b2o9b
obo3bo$20bob2obo12bo$20bobobob3ob2obo$21b3o3b3obobob2o$22b2o$24b2ob2o$
22bobobobob2o$20b2o3b2o$19b2ob2ob2o$14b2obo5b3o$14bob2o6bo$14bob2o3bob
2o$15bo4bo2b2o$15b4obo2bo$15b4obo2b2o$16bo3b2ob5o$16b5o5bo$16bo7bo$15b
ob2o5bo$16b2obobo6bo$16b2obobo3bo2bo$17bobo2bob3o$18b5o2bobo$17b2o8b2o
$17bo12bo$16bobo6bo$13bo2bobo5bo2bob2o$13b2o3bobo3b2o$9bobo2bo6bo2bo$
7b2obo2bo4bo2bo$7bo2b3obo6bo$9b3o6b2o$4b4obo5bo$4bo2bo7bo2bobo$6bo4b2o
3b2o2bo$4bo2bo2bobobob2o$3bo3bob3o2bo$2b2o6bo4bo2bo$8bo6b2obo$2b4o4b2o
3b2o$6b3obo4b2o$bo4bo4bobobo$3o3b3obo3b3o$o2bobobo3bo!

And this is all to say nothing of the various splits that showed up in partials. It's weird to me how viable it all seems without any complete solution every showing up.

confocaloid · Post by **confocaloid** » March 17th, 2024, 2:29 am

amling wrote: ↑
March 16th, 2024, 3:54 am
[...]
The stronger glider-free definition was to disallow any 3x3 box, in any generation, to contain, even as a subset, the cells of a glider (oriented in the right direction anyway).
[...]
The weaker notion was to refuse any 3x3 box to be exactly a glider (oriented in the right direction), but to allow strict supersets. This, unsurprisingly, had even longer partials:
[...]

Do I understand right, that those searches disallowed "gliders" oriented only in the same direction in which the whole spaceship would move? I think I can see some occurrences of B5n/A5n in the partials you posted.
Is there hope of a c/4d spaceship that does not query presence of the B5n condition in the rule at all (and hence works the same way in Life and in LifeWithoutGliders)?

amling · Post by **amling** » March 17th, 2024, 3:02 am

confocaloid wrote: ↑
March 17th, 2024, 2:29 am

amling wrote: ↑
March 16th, 2024, 3:54 am
[...]
The stronger glider-free definition was to disallow any 3x3 box, in any generation, to contain, even as a subset, the cells of a glider (oriented in the right direction anyway).
[...]
The weaker notion was to refuse any 3x3 box to be exactly a glider (oriented in the right direction), but to allow strict supersets. This, unsurprisingly, had even longer partials:
[...]
Do I understand right, that those searches disallowed "gliders" oriented only in the same direction in which the whole spaceship would move? I think I can see some occurrences of B5n/A5n in the partials you posted.

These searches were run with very special one-off code to refuse glider and glider subsets only in the NW orientation and allow them in other orientations, e.g. this marked glider pointed SE (ship travels NW):

Code: Select all

x = 137, y = 61, rule = LifeHistory
F.31B.F.31B.F.31B.F.31B.F$F.31B.F.31B.F.31B.F.31B.F$F.31B.F.31B.F.31B
.F.18B2A11B.F$F.18BABA10B.F.31B.F.17B4A10B.F.17B3A11B.F$F.17BA13B.F.
16B6A9B.F.16BA5BA8B.F.16B4ABA9B.F$F.16B2A2B2ABA7B.F.16B2AB4A8B.F.15BA
6BA8B.F.14B2A6B2A7B.F$F.15BA2B2ABA2BA6B.F.15BA2B2ABA9B.F.14B2ABA3B2A
8B.F.14B2A5B2A8B.F$F.14BA2BA3BA9B.F.14B2A3BA11B.F.13BA2BA2BA11B.F.14B
ABA2BAB2A8B.F$F.14BA4BA11B.F.13B3A3BABA9B.F.16BAB2ABA9B.F.14B5A2BA9B.
F$F.14BA3B3ABABA6B.F.13B3A2BABABABA6B.F.13BABA3B2ABA8B.F.14B2A3BA2B2A
7B.F$F.14BA5BAB3A6B.F.22BABA6B.F.15B3A3B2ABA6B.F.14B3ABA3BA8B.F$F.17B
ABABA9B.F.15BEBE2A3BA3BA3B.F.19B2A2BA3BA3B.F.15BA3B2AB4ABA3B.F$F.15B
3A2B2A4B3A2B.F.16B2EAB3A3BABA2B.F.15BA4BA3BABABA2B.F.21BAB2ABABA2B.F$
F.22BA4B2A2B.F.16BE3BAB2ABA2BA2B.F.16BA2B2A3BABABA2B.F.19B2A10B.F$F.
21BAB2ABA4B.F.22B2A3BA3B.F.31B.F.23BABA5B.F$F.31B.F.22B3A6B.F.22BABA
6B.F.31B.F$F.23BA7B.F.31B.F.31B.F.21B2A8B.F$F.23BA7B.F.22B3A6B.F.21B
2ABA6B.F.23BA7B.F$F.22BABA6B.F.21B2ABA6B.F.24BA6B.F.21BAB3A5B.F$F.21B
2ABA2BA3B.F.21B2A8B.F.20BA4BA5B.F.20B2A2B3A4B.F$F.27BA3B.F.21BAB3AB2A
2B.F.20B2A3B2A4B.F.20B3A8B.F$F.20BA3B2ABA3B.F.21BAB3A5B.F.21BABAB2A4B
.F.19BABABA2BA4B.F$F.20BABAB2A5B.F.19B2A10B.F.18B2A3B2A6B.F.18BA4BABA
5B.F$F.18BA2BA2B2A5B.F.17B2AB3A8B.F.17BA5BA7B.F.17B3A2BA8B.F$F.17B2AB
A2B2A6B.F.17B2AB4ABA5B.F.16BA3BA2B2A6B.F.15B2A2BA2BA8B.F$F.16BA3BA2BA
7B.F.16BABA4BA7B.F.15B2ABABA2B2A6B.F.15B2A6B2A6B.F$F.15BA2BA5BA6B.F.
15B2ABABA10B.F.14BA3BA12B.F.11BA3BA2BA12B.F$F.12B2A2BAB3A10B.F.11BABA
B2ABA12B.F.10B3A5BA12B.F.10BAB2ABA2B2A11B.F$F.11B3ABA2BA12B.F.10B2A3B
A2BABA10B.F.9BAB2A2B2ABA12B.F.9BA8B2A11B.F$F.9B2A3BA3BABA10B.F.9B2A3B
A3BA12B.F.8BA2BA6BA12B.F.8B2AB2A4BA13B.F$F.8BA3BA6BA11B.F.8B2A9BA11B.
F.7BA2BA20B.F.7B4A20B.F$F.7BA23B.F.7B2A22B.F.6BA2BA21B.F.6B5A20B.F$F.
7BA3BA19B.F.6B2A23B.F.6BA2BA21B.F.31B.F$F.6BA4BA19B.F.6BABABA20B.F.
31B.F.5B3ABA21B.F$F.6BAB2A21B.F.5B5A21B.F.5B2ABABA20B.F.5B2ABA22B.F$F
.5BA3B2A20B.F.10BA20B.F.6B4A21B.F.5B2ABA2BA19B.F$F.9BA21B.F.31B.F.10B
2A19B.F.6B2A3BA19B.F$F.5BA2B2A2B2A17B.F.8B3ABA18B.F.5BA3BABA19B.F.4B
2A3BABA19B.F$F.5BA5BA19B.F.4B3A5BA18B.F.4B2A3BABABA17B.F.4B2A25B.F$F.
4BABA24B.F.4BA9BA16B.F.13BA17B.F.3BA9BA17B.F$F.4BA8B3A15B.F.3B2A9BA
16B.F.3B3A7B3A15B.F.4B2A6B2ABA15B.F$F.4BABA24B.F.5BA7BABA15B.F.5BA7BA
BA15B.F.3BABA6B2ABA15B.F$F.13BA2BA14B.F.3B3A8B2A15B.F.3BA9BA17B.F.5B
2A7BA16B.F$F.3B2A3BA5B2A15B.F.3B3ABA6B3A14B.F.3BAB2A24B.F.2B2AB3A23B.
F$F.3B2ABABA7BA14B.F.8BA6B2A14B.F.3BAB2ABA5BA16B.F.3BA11B2A14B.F$F.4B
A2BA9BA13B.F.4BA2B2A3BA3B2A13B.F.4B2ABA4BA2B3A13B.F.3BA5BA2BA4BA13B.F
$F.4BA4BAB3A3BA13B.F.4B2A2B2ABABA17B.F.4B2AB3A2B2AB2A14B.F.4B2ABABAB
2A18B.F$F.5BA3B2AB2A17B.F.14BABABA12B.F.8BABA2B2ABA14B.F.10BA5BA14B.F
$F.7B2AB4A2B3A12B.F.8BABA3B3ABA12B.F.8BAB2ABA2BAB2A11B.F.7B2A4BAB2AB
2A11B.F$F.14BAB2ABA11B.F.8B4A2B2A3BA11B.F.8BAB2ABA3BABA11B.F.13B2A2BA
13B.F$F.9BA3BA3B3A11B.F.13BA3BABA11B.F.11B3A5B2A10B.F.9BA3B2A16B.F$F.
14B2A15B.F.10BA2B3ABABA11B.F.10B2A3BA3B2A10B.F.10BA7BA2BA9B.F$F.10B2A
2BA3BA2B2A8B.F.10B2AB3A4BABA8B.F.11BA5BA2BA10B.F.9BA2BA3B2A2B2A9B.F$F
.10BA2BA3BA2B3A8B.F.9B2A2B3AB4ABA8B.F.9B3A5B2A3BA8B.F.10B3A3B3A12B.F$
F.10BA3BABA2BA11B.F.13B2ABABAB2A9B.F.13BA2BA14B.F.10B3A3BA14B.F$F.14B
AB2A13B.F.16BA2B2A10B.F.12BA3B3A2BA9B.F.11BA2BA3B3A10B.F$F.17B3ABA9B.
F.12B2ABA3BA11B.F.11B3AB2A2B2A10B.F.11BA3B2A2B2A10B.F$F.11B3A2BABA12B
.F.11B2A3BA14B.F.13B2A4BA11B.F.11BA6B2A11B.F$F.10BA4BAB2A12B.F.9B3A3B
5A11B.F.9BA2BABA4BA11B.F.8B5AB2A2B3A10B.F$F.8B2A3B2A4BABA9B.F.8BABA3B
4ABA11B.F.7B2AB2A2BA4BA11B.F.7B2ABABA18B.F$F.8B2A6BA2BABA9B.F.7B2A22B
.F.8BABABA18B.F.10BAB2ABA3BA11B.F!

confocaloid wrote: ↑
March 17th, 2024, 2:29 am
Is there hope of a c/4d spaceship that does not query presence of the B5n condition in the rule at all (and hence works the same way in Life and in LifeWithoutGliders)?

One can of course run LLSSS searches in (a) B3!5n/S23 for the intersection of B3/S23 and B35nS23 or in (b) B3!5n/S23!4k to prohibit either glider-like 3x3 block in any orientation. LLSSS did not yet allow INT rules at the time I started this project or I likely would have just done (b). I have started limited width and arbitrary width searches and 2 minutes later neither has succeeded (the former in finding a ship nor the latter in proving there are none) so I guess now we wait. Longest partial of the last (so far) completed limited width search:

Code: Select all

x = 89, y = 20, rule = LifeHistory
F.19B.F.19B.F.19B.F.19B.F$F.19B.F.19B.F.19B.F.19B.F$F.19B.F.19B.F.19B
.F.3BA15B.F$F.3B2ABA12B.F.3B2ABA12B.F.2B3A14B.F.2B5A12B.F$F.3BAB2A12B
.F.2B2A3BA11B.F.2BA2B3A11B.F.2BA5BA10B.F$F.3BAB2A5BA6B.F.3BA2BA4B2A6B
.F.3B2AB3A2B2A6B.F.10B3A6B.F$F.4BA5B2ABA5B.F.3BA3BAB3ABA5B.F.2B3AB2AB
ABA7B.F.2BABA4BAB2A6B.F$F.4B4AB2A2BA5B.F.3BA3BABA9B.F.6B2ABA9B.F.3BAB
3ABA9B.F$F.4B4ABABA7B.F.7BABAB2A6B.F.10BA8B.F.19B.F$F.5BA4B2A7B.F.4BA
14B.F.6B2AB4A6B.F.5B3AB2AB2A5B.F$F.6B2AB4A6B.F.5BAB3A2BA6B.F.4B2AB2A
3B2A5B.F.4BA4B2A8B.F$F.5BABA11B.F.5BABA4B2A5B.F.4B2ABA4B2A5B.F.4BA4BA
2B2A5B.F$F.5BA3B2A2B2A4B.F.5BA3B3A7B.F.6BAB2A9B.F.5B2A2BA3BA5B.F$F.6B
A3B2A7B.F.9B3A3BA3B.F.8B2A4BA4B.F.10BA2B3A3B.F$F.12B3ABA2B.F.7BA4B2AB
A3B.F.8B2A2B2AB2A2B.F.9B3A3BA3B.F$F.7B2A3BA3BA2B.F.6BA2BA2BA2BA3B.F.
6B2A3B4A4B.F.5B6A8B.F$F.6B4A9B.F.6BA3BA8B.F.5B2A3BAB3A4B.F.5BA4BA8B.F
$F.6BAB2ABA3BA3B.F.5BA3B2AB2ABA3B.F.6BA2BA5B2A2B.F.13B3A3B.F$F.5BABA
4B4A3B.F.7BA2B7A2B.F.6B2A11B.F.4B3A4B2A6B.F$F.7BA3BA4BA2B.F.7B2A2BA3B
2A2B.F21.F21.F!

This is not sick enough for me to be optimistic about the arbitrary width search successfully ruling out ships and given finding a ship seems like it should be even harder than the "weaker" constraint from the original post I'm not particularly optimistic about that side either.

amling · Post by **amling** » March 17th, 2024, 1:39 pm

Sokwe wrote: ↑

March 16th, 2024, 11:46 pm

Here's an idea for a p12 (Edit: originally I incorrectly claimed it was p16) c/4 diagonal backrake that might be possible, but it would require the discovery of multiple, likely difficult components:

Code: Select all

x = 265, y = 57, rule = B3/S23
28b2o68b2o68b2o68b2o$27b2o68b2o68b2o68b2o$29bo69bo69bo69bo$31b2o68b2o
68b2o68b2o$30bo69bo69bo69bo2$29bo2bo66bo2bo66bo2bo66bo2bo$26b2obo66b2o
bo66b2obo66b2obo$25b2o4bo63b2o4bo63b2o4bo63b2o4bo$27bobo2bo64bobo2bo
64bobo2bo64bobo2bo$32bo69bo69bo69bo$32bo69bo69bo69bo$27b3ob2o64b3ob2o
64b3ob2o64b3ob2o$25b2obo3bo62b2obo3bo62b2obo3bo62b2obo3bo$25bo4bobobo
60bo4bobobo60bo4bobobo60bo4bobobo$26b2o3b3o62b2o3b3o62b2o3b3o62b2o3b3o
$32bo69bo69bo69bo$8bo69bo69bo69bo$7b2o22bo45b2o22bo45b2o22bo45b2o22bo$
7bobo20b2o45bobo20b2o45bobo20b2o45bobo20b2o$32bo69bo69bo69bo$10b2o18b
2o48b2o18b2o48b2o18b2o48b2o18b2o$10b2o20bobobo43b2o20bobobo43b2o20bobo
bo43b2o20bobobo$32b2obo66b2obo66b2obo66b2obo$bo6b2o22b2obo2bo32bo6b2o
22b2obo2bo32bo6b2o22b2obo2bo32bo6b2o22b2obo2bo$2o5bo2bo21bo4bo32b2o5bo
2bo21bo4bo32b2o5bo2bo21bo4bo32b2o5bo2bo21bo4bo$obo3b2obo23b2o35bobo3b
2obo23b2o35bobo3b2obo23b2o35bobo3b2obo23b2o$4bo29bo7bobobo27bo29bo7bob
obo27bo29bo7bobobo27bo29bo7bobobo$3bo28bob3o4bob2ob2o25bo28bob3o4bob2o
b2o25bo28bob3o4bob2ob2o25bo28bob3o4bob2ob2o$3bo2b2o23b3o3bo4bo30bo2b2o
23b3o3bo4bo30bo2b2o23b3o3bo4bo30bo2b2o23b3o3bo4bo$8bo23bo3bo3b2o4b2o
30bo23bo3bo3b2o4b2o30bo23bo3bo3b2o4b2o30bo23bo3bo3b2o4b2o$7bo3bo28b3o
34bo3bo28b3o34bo3bo28b3o34bo3bo28b3o$7bo4b2o17bobo6b2ob4o30bo4b2o17bob
o6b2ob4o30bo4b2o17bobo6b2ob4o30bo4b2o17bobo6b2ob4o$8bo4b4o12b3o3bo5bo
36bo4b4o12b3o3bo5bo36bo4b4o12b3o3bo5bo36bo4b4o12b3o3bo5bo$9bo4b2obo7bo
3b2o5b2o3bo11b2o24bo4b2obo7bo3b2o5b2o3bo11b2o24bo4b2obo7bo3b2o5b2o3bo
11b2o24bo4b2obo7bo3b2o5b2o3bo11b2o$11bo3bo2bo4bo2b2o3bo6bo2bo2bo4bo31b
o3bo2bo4bo2b2o3bo6bo2bo2bo4bo31bo3bo2bo4bo2b2o3bo6bo2bo2bo4bo31bo3bo2b
o4bo2b2o3bo6bo2bo2bo4bo$10b2obobo6b2o2bo5b3ob4obobo4b4ob2o25b2obobo6b
2o2bo5b3ob4obobo4b4ob2o25b2obobo6b2o2bo5b3ob4obobo4b4ob2o25b2obobo6b2o
2bo5b3ob4obobo4b4ob2o$13bobobo4b3obo3bob11o5bobob3o28bobobo4b3obo3bob
11o5bobob3o28bobobo4b3obo3bob11o5bobob3o28bobobo4b3obo3bob11o5bobob3o$
15b2o2b2o7b2o20bo34b2o2b2o7b2o20bo34b2o2b2o7b2o20bo34b2o2b2o7b2o20bo$
18b2o27b2o4bo34b2o27b2o4bo34b2o27b2o4bo34b2o27b2o4bo$19bo21b2o3bo3bo2b
o35bo22b2o2bo3bo2bo35bo17b3o6bo3bo2bo35bo21b2o3bo3bo2bo$30b2o5bo2b3o3b
o2bob2o63bo2bob2o54b3o6bo2bob2o54bo2b3o3bo2bob2o$30b2o4b3o2b2o2b2o4b2o
48b2o12b2o4b2o54b3o5b2o4b2o53b3o2b2o2b2o4b2o$37bobobo3b2obob2o49b2o12b
2obob2o50b2o11b2obob2o55bobobo3b2obob2o$33b2o3b3o4bo59bo3bo5bo56b2o11b
o57b2o3b3o4bo$33b2o4bo6bo6b2o56bo4bo6b2o61bo6b2o48b2o4bo6bo6b2o$48bo
60b3o6bo63bo5bo69bo$48bo3bo65bo3bo60bo4bo3bo65bo3bo$44bo4bo2bobo64bo2b
obo56b3o5bo2bobo59bo4bo2bobo$45bo5b2o68b2o68b2o62bo5b2o$43b3o5b3o62bo
4b3o67b3o59b3o5b3o$117bo$115b3o70bo$189bo$187b3o70bo$261bo$259b3o!

The blocks are probably the "easiest" to replace, as there are a few interactions on the left side that suppress the unwanted sparks. The right side is more difficult. There may be other possible sparks that work here, but I wasn't able to find them by hand.

That sparker with that clearance is quite demanding. Some preliminary searches (8 GB) do find longish partials but they don't look very nice to me (mostly wide and mostly getting wider as they go), e.g.:

Code: Select all

x = 74, y = 53, rule = B3/S23
28b2o$27b2o$29bo$31b2o$30bo2$29bo2bo$26b2obo$25b2o4bo$27bobo2bo$32bo$
32bo$27b3ob2o$25b2obo3bo$25bo4bobobo$26b2o3b3o$32bo$8bo$7b2o22bo$7bobo
20b2o$32bo$10b2o18b2o$10b2o20bobobo$32b2obo$bo6b2o22b2obo2bo$2o5bo2bo
21bo4bo$obo3b2obo23b2o38bo$4bo29bo7bobobo4b2o9bo5bo4bo$3bo28bob3o4bob
2ob2o2b2o8b2o4b2o2bo2bo$3bo2b2o23b3o3bo4bo9bo6bobo2b3o5bo$8bo23bo3bo3b
2o4b2o6b2o2b4o6bob2o$7bo3bo28b3o11b4o2b2o6bo$7bo4b2o17bobo6b2ob4o9b4o
5bob2o$8bo4b4o12b3o3bo5bo18bo2b2obobob2o$9bo4b2obo7bo3b2o5b2o3bo9bob3o
6bo8bo$11bo3bo2bo4bo2b2o3bo6bo2bo2bo4b2o8bo2bo2bo4bo$10b2obobo6b2o2bo
5b3ob4obobo4b2o5bo3bo6bo$13bobobo4b3obo3bob11o5bobob3o6b2obo5b3o$15b2o
2b2o7b2o22bo2b2o7bo2b2obo$18b2o27b2obobo2b2o9b4o$19bo21b2o3bo3bobo2bo
2bob4o2bob2ob3o$30b2o5bo2b3o3bo2b2o4b2obo3b5ob2ob2o$30b2o4b3o2b2o2b2o
4bo2bob2o5bo2bo$37bobobo3b2obo5bob2o7bob4o2bo$33b2o3b3o4bo3bobobo2b2ob
ob2o4bobob3o$33b2o4bo6bo4bo11b2o6b2o$48bo7bo2b4obo6b2o$48bo2bob2o4bobo
2b2o$44bo4bob2o2b2obobobobobob2o3bo$45bo5bo2b2o12b2o$43b3o4bo11b2o2bo
4bo$52bo2bo5bo9bo$54bo!

Preliminary searches for the upward branch counter clockwise from that went even less of anywhere.

amling · Post by **amling** » March 17th, 2024, 4:31 pm

I ran a bunch of c/4d perturbing searches for blocks and blinkers hoping for an animation, but couldn't make anything of it. The searches really want to find deletion reactions (which for both objects are already known) and just extend them in c/4d forever. I still don't have an effective way of forcing a nontrivial animation and so I'm sort of stuck here, as much as I would really, really like to find these.

As an example here is where the blinker searches with four generations of interaction ended:

Code: Select all

x = 517, y = 65, rule = LifeHistory
F42.F42.F42.F42.F42.F42.F42.F42.F.38B3.F.38B3.F.38B3.F.38B3.F$F42.F
42.F42.F42.F2.38B2.F2.38B2.F2.38B2.F2.38B2.F.38B3.F.38B3.F.38B3.F.38B
3.F$F3.38B.F3.38B.F3.38B.F3.38B.F2.38B2.F2.38B2.F2.38B2.F2.38B2.F.38B
3.F.38B3.F.38B3.F.38B3.F$F3.38B.F3.38B.F3.38B.F3.38B.F2.38B2.F2.38B2.
F2.38B2.F2.38B2.F.13BA24B3.F.12B2A24B3.F.12B2A24B3.F.11B3A24B3.F$F3.
38B.F3.38B.F3.38B.F3.38B.F2.13BA24B2.F2.12B2A24B2.F2.12B2A24B2.F2.11B
3A24B2.F.12B2A24B3.F.12BABA23B3.F.11B2A25B3.F.11BA26B3.F$F3.13BA24B.F
3.12B2A24B.F3.12B2A24B.F3.11B3A24B.F2.12B2A24B2.F2.12BABA23B2.F2.11B
2A25B2.F2.11BA26B2.F.12BABA23B3.F.12BA25B3.F.12BABA23B3.F.14BA23B3.F$
F3.12B2A24B.F3.12BABA23B.F3.11B2A25B.F3.11BA26B.F2.12BABA23B2.F2.12BA
25B2.F2.12BABA23B2.F2.14BA23B2.F.38B3.F.13B2A23B3.F.12B3A23B3.F.11BA
2BA23B3.F$F3.12BABA23B.F3.12BA25B.F3.12BABA23B.F3.14BA23B.F2.38B2.F2.
13B2A23B2.F2.12B3A23B2.F2.11BA2BA23B2.F.14B3A21B3.F.13BA2BA21B3.F.12B
2A24B3.F.12BA2BA22B3.F$F3.38B.F3.13B2A23B.F3.12B3A23B.F3.11BA2BA23B.F
2.14B3A21B2.F2.13BA2BA21B2.F2.12B2A24B2.F2.12BA2BA22B2.F.13B3A22B3.F.
13BA24B3.F.14BABA21B3.F.13BA3BA20B3.F$F3.14B3A21B.F3.13BA2BA21B.F3.
12B2A24B.F3.12BA2BA22B.F2.13B3A22B2.F2.13BA24B2.F2.14BABA21B2.F2.13BA
3BA20B2.F.15BABA20B3.F.15BABA20B3.F.17B2A19B3.F.15BA2BA19B3.F$F3.13B
3A8BA13B.F3.13BA24B.F3.14BABA7BA13B.F3.13BA3BA20B.F2.15BABA7BA12B2.F
2.15BABA20B2.F2.17B2A6BA12B2.F2.15BA2BA19B2.F.17B3A6BA11B3.F.16B2ABA
18B3.F.16B3A19B3.F.16BA2BA18B3.F$F3.15BABA6BA13B.F3.15BABA5B3A12B.F3.
17B2A5BA13B.F3.15BA2BA4B3A12B.F2.17B3A5BA12B2.F2.16B2ABA4B3A11B2.F2.
16B3A6BA12B2.F2.16BA2BA4B3A11B2.F.18BABA5BA11B3.F.20BA4B2A11B3.F.18BA
2BA16B3.F.18B2A18B3.F$F3.17B3A4BA13B.F3.16B2ABA18B.F3.16B3A5BA13B.F3.
16BA2BA18B.F2.18BABA4BA12B2.F2.20BA17B2.F2.18BA2BA3BA12B2.F2.18B2A18B
2.F.18BA2BA3BA12B3.F.19B3A16B3.F.19BA2BA15B3.F.18B2A18B3.F$F3.18BABA
17B.F3.20BA17B.F3.18BA2BA16B.F3.18B2A18B.F2.18BA2BA16B2.F2.19B3A16B2.
F2.19BA2BA15B2.F2.18B2A4BA13B2.F.21BA16B3.F.19BAB2A15B3.F.19BAB4A13B
3.F.19BA4BA13B3.F$F3.18BA2BA16B.F3.19B3A16B.F3.19BA2BA15B.F3.18B2A18B
.F2.21BA16B2.F2.19BAB2A15B2.F2.19BAB4A13B2.F2.19BA4BA13B2.F.19B3A16B
3.F.23B3A12B3.F.20BAB2ABA12B3.F.20BA17B3.F$F3.21BA16B.F3.19BAB2A15B.F
3.19BAB4A13B.F3.19BA4BA13B.F2.19B3A16B2.F2.23B3A12B2.F2.20BAB2ABA12B
2.F2.20BA17B2.F.14BA6B6A11B3.F.13B2A4BA4B2A12B3.F.13B2A8BA14B3.F.12B
3A6B3AB2A11B3.F$F3.19B3A16B.F3.23B3A12B.F3.20BAB2ABA12B.F3.20BA17B.F
2.14BA6B6A11B2.F2.13B2A4BA4B2A12B2.F2.13B2A8BA14B2.F2.12B3A6B3AB2A11B
2.F.13B2A5BAB2A14B3.F.13BABA4BA4B2A11B3.F.12B2A6BA4B2A11B3.F.12BA6B2A
17B3.F$F3.14BA6B6A11B.F3.13B2A4BA4B2A12B.F3.13B2A8BA14B.F3.12B3A6B3AB
2A11B.F2.13B2A5BAB2A14B2.F2.13BABA4BA4B2A11B2.F2.12B2A6BA4B2A11B2.F2.
12BA6B2A17B2.F.13BABA4BA6BA10B3.F.13BA5B2A2BA14B3.F.13BABA3B2A17B3.F.
15BA3B2AB4A12B3.F$F3.13B2A5BAB2A14B.F3.13BABA4BA4B2A11B.F3.12B2A6BA4B
2A11B.F3.12BA6B2A17B.F2.13BABA4BA6BA10B2.F2.13BA5B2A2BA14B2.F2.13BABA
3B2A17B2.F2.15BA3B2AB4A12B2.F.20B2ABA2BA11B3.F.14BABA21B3.F.13B2ABA4B
4A13B3.F.13BA2BA5B3A13B3.F$F3.13BABA4BA6BA10B.F3.13BA5B2A2BA14B.F3.
13BABA3B2A17B.F3.15BA3B2AB4A12B.F2.20B2ABA2BA11B2.F2.14BABA21B2.F2.
13B2ABA4B4A13B2.F2.13BA2BA5B3A13B2.F.15BAB2AB2ABA14B3.F.14B3A2B3AB2A
13B3.F.14BABA2B3A2BA13B3.F.14BAB2A2BA3B2A12B3.F$F3.20B2ABA2BA11B.F3.
14BABA21B.F3.13B2ABA4B4A13B.F3.13BA2BA5B3A13B.F2.15BAB2AB2ABA14B2.F2.
14B3A2B3AB2A13B2.F2.14BABA2B3A2BA13B2.F2.14BAB2A2BA3B2A12B2.F.14B2A7B
A2BA11B3.F.20BAB3A13B3.F.14BABA5BABA13B3.F.14BAB2A5BA14B3.F$F3.15BAB
2AB2ABA14B.F3.14B3A2B3AB2A13B.F3.14BABA2B3A2BA13B.F3.14BAB2A2BA3B2A
12B.F2.14B2A7BA2BA11B2.F2.20BAB3A13B2.F2.14BABA5BABA13B2.F2.14BAB2A5B
A14B2.F.14B2AB3A4BA13B3.F.14BA2BA2BA17B3.F.15B2A2B2A17B3.F.14BA4BA3BA
14B3.F$F3.14B2A7BA2BA11B.F3.20BAB3A13B.F3.14BABA5BABA13B.F3.14BAB2A5B
A14B.F2.14B2AB3A4BA13B2.F2.14BA2BA2BA17B2.F2.15B2A2B2A17B2.F2.14BA4BA
3BA14B2.F.16BAB3A17B3.F.15B2A3B5A13B3.F.15B2ABA5BA13B3.F.18BABA17B3.F
$F3.14B2AB3A4BA13B.F3.14BA2BA2BA17B.F3.15B2A2B2A17B.F3.14BA4BA3BA14B.
F2.16BAB3A17B2.F2.15B2A3B5A13B2.F2.15B2ABA5BA13B2.F2.18BABA17B2.F.21B
3ABA12B3.F.17B2AB4A14B3.F.16B3ABA4BA12B3.F.15BA4B2ABABA12B3.F$F3.16BA
B3A17B.F3.15B2A3B5A13B.F3.15B2ABA5BA13B.F3.18BABA17B.F2.21B3ABA12B2.F
2.17B2AB4A14B2.F2.16B3ABA4BA12B2.F2.15BA4B2ABABA12B2.F.18BA4BABA12B3.
F.18BA4BAB2A11B3.F.17B2AB2AB2A13B3.F.16BABAB2A2BA13B3.F$F3.21B3ABA12B
.F3.17B2AB4A14B.F3.16B3ABA4BA12B.F3.15BA4B2ABABA12B.F2.18BA4BABA12B2.
F2.18BA4BAB2A11B2.F2.17B2AB2AB2A13B2.F2.16BABAB2A2BA13B2.F.17BABA5BA
12B3.F.19BA18B3.F.20BA17B3.F.17B2AB2A16B3.F$F3.18BA4BABA12B.F3.18BA4B
AB2A11B.F3.17B2AB2AB2A13B.F3.16BABAB2A2BA13B.F2.17BABA5BA12B2.F2.19BA
18B2.F2.20BA17B2.F2.17B2AB2A16B2.F.15BA3BA3BA14B3.F.14B2A2B3A17B3.F.
14B2A2BA19B3.F.13B5A3BA16B3.F$F3.17BABA5BA12B.F3.19BA18B.F3.20BA17B.F
3.17B2AB2A16B.F2.15BA3BA3BA14B2.F2.14B2A2B3A17B2.F2.14B2A2BA19B2.F2.
13B5A3BA16B2.F.14B3A3BA17B3.F.13BA2BA2B2A2BA14B3.F.13B2AB2A3B2A15B3.F
.12BA3B3A2B3A14B3.F$F3.15BA3BA3BA14B.F3.14B2A2B3A17B.F3.14B2A2BA19B.F
3.13B5A3BA16B.F2.14B3A3BA17B2.F2.13BA2BA2B2A2BA14B2.F2.13B2AB2A3B2A
15B2.F2.12BA3B3A2B3A14B2.F.13B3A3BA2BABA13B3.F.12BA3BA2BABABA14B3.F.
12B2A5BA2B2A14B3.F.11BA11BA14B3.F$F3.14B3A3BA17B.F3.13BA2BA2B2A2BA14B
.F3.13B2AB2A3B2A15B.F3.12BA3B3A2B3A14B.F2.13B3A3BA2BABA13B2.F2.12BA3B
A2BABABA14B2.F2.12B2A5BA2B2A14B2.F2.11BA11BA14B2.F.12B2A4BA3BA2BA12B
3.F.12BA11B2A12B3.F.11B3A8BA2BA12B3.F.11BA2BA7BABA13B3.F$F3.13B3A3BA
2BABA13B.F3.12BA3BA2BABABA14B.F3.12B2A5BA2B2A14B.F3.11BA11BA14B.F2.
12B2A4BA3BA2BA12B2.F2.12BA11B2A12B2.F2.11B3A8BA2BA12B2.F2.11BA2BA7BAB
A13B2.F.13BA10BA13B3.F.11BA2BA8B3A12B3.F.11BABA9BA14B3.F.13BA24B3.F$F
3.12B2A4BA3BA2BA12B.F3.12BA11B2A12B.F3.11B3A8BA2BA12B.F3.11BA2BA7BABA
13B.F2.13BA10BA13B2.F2.11BA2BA8B3A12B2.F2.11BABA9BA14B2.F2.13BA24B2.F
.11B3A10BA13B3.F.11BABA10BA13B3.F.10B2A26B3.F.10B2A12BA13B3.F$F3.13BA
10BA13B.F3.11BA2BA8B3A12B.F3.11BABA9BA14B.F3.13BA24B.F2.11B3A10BA13B
2.F2.11BABA10BA13B2.F2.10B2A26B2.F2.10B2A12BA13B2.F.11BA13B2A11B3.F.
11BA12B2A12B3.F.11BA12B2A12B3.F.10B3A11B2A12B3.F$F3.11B3A10BA13B.F3.
11BABA10BA13B.F3.10B2A26B.F3.10B2A12BA13B.F2.11BA13B2A11B2.F2.11BA12B
2A12B2.F2.11BA12B2A12B2.F2.10B3A11B2A12B2.F.24BA13B3.F.12BA12BA12B3.F
.12BA11B2A12B3.F.11B2A11B2A12B3.F$F3.11BA13B2A11B.F3.11BA12B2A12B.F3.
11BA12B2A12B.F3.10B3A11B2A12B.F2.24BA13B2.F2.12BA12BA12B2.F2.12BA11B
2A12B2.F2.11B2A11B2A12B2.F.11BABA24B3.F.6BA6BA24B3.F.5B2A5BA25B3.F.5B
2A16B2A13B3.F$F3.24BA13B.F3.12BA12BA12B.F3.12BA11B2A12B.F3.11B2A11B2A
12B.F2.11BABA24B2.F2.6BA6BA24B2.F2.5B2A5BA25B2.F2.5B2A16B2A13B2.F.5B
3A4B2A9BA2BA11B3.F.5B2A4BA10B2A14B3.F.5BABA14B2A14B3.F.4B2A6BA9B2A14B
3.F$F3.11BABA24B.F3.6BA6BA24B.F3.5B2A5BA25B.F3.5B2A16B2A13B.F2.5B3A4B
2A9BA2BA11B2.F2.5B2A4BA10B2A14B2.F2.5BABA14B2A14B2.F2.4B2A6BA9B2A14B
2.F.5BA6B3A7B2A14B3.F.5BABA14B2A14B3.F.5BA4B3A8BA2BA13B3.F.6BA2B2AB2A
6B2A2BA13B3.F$F3.5B3A4B2A9BA2BA11B.F3.5B2A4BA10B2A14B.F3.5BABA14B2A
14B.F3.4B2A6BA9B2A14B.F2.5BA6B3A7B2A14B2.F2.5BABA14B2A14B2.F2.5BA4B3A
8BA2BA13B2.F2.6BA2B2AB2A6B2A2BA13B2.F.6BA3BAB3A6BA16B3.F.9BAB2ABA6BAB
A14B3.F.8BABAB2A6B2ABA14B3.F.8BA11B3A15B3.F$F3.5BA6B3A7B2A14B.F3.5BAB
A14B2A14B.F3.5BA4B3A8BA2BA13B.F3.6BA2B2AB2A6B2A2BA13B.F2.6BA3BAB3A6BA
16B2.F2.9BAB2ABA6BABA14B2.F2.8BABAB2A6B2ABA14B2.F2.8BA11B3A15B2.F.8B
2A10BA2BA14B3.F.9BA3BA6B2A16B3.F.8B2AB3A5BA18B3.F.8BA10BA18B3.F$F3.6B
A3BAB3A6BA16B.F3.9BAB2ABA6BABA14B.F3.8BABAB2A6B2ABA14B.F3.8BA11B3A15B
.F2.8B2A10BA2BA14B2.F2.9BA3BA6B2A16B2.F2.8B2AB3A5BA18B2.F2.8BA10BA18B
2.F.20BA17B3.F.9B2A8B3A16B3.F.9BA2BA6BA18B3.F.13BA6BA17B3.F$F3.8B2A
10BA2BA14B.F3.9BA3BA6B2A16B.F3.8B2AB3A5BA18B.F3.8BA10BA18B.F2.20BA17B
2.F2.9B2A8B3A16B2.F2.9BA2BA6BA18B2.F2.13BA6BA17B2.F.10B2A8BA17B3.F.
10B3A7BA17B3.F.5BA3B3A9BA16B3.F.4B2A3B3A6BA19B3.F$F3.20BA17B.F3.9B2A
8B3A16B.F3.9BA2BA6BA18B.F3.13BA6BA17B.F2.10B2A8BA17B2.F2.10B3A7BA17B
2.F2.5BA3B3A9BA16B2.F2.4B2A3B3A6BA19B2.F.5B2A4BAB2A3B2A18B3.F.4B3A7B
2A3BA18B3.F.4B2A8B2A2B3A17B3.F.4BABA6B3AB2ABA17B3.F$F3.10B2A8BA17B.F
3.10B3A7BA17B.F3.5BA3B3A9BA16B.F3.4B2A3B3A6BA19B.F2.5B2A4BAB2A3B2A18B
2.F2.4B3A7B2A3BA18B2.F2.4B2A8B2A2B3A17B2.F2.4BABA6B3AB2ABA17B2.F.4B2A
4B2A3B2A21B3.F.4BA5B4ABA2B2A18B3.F.4BABA2B5A2BAB2A18B3.F.4BA3BA7B3ABA
17B3.F$F3.5B2A4BAB2A3B2A18B.F3.4B3A7B2A3BA18B.F3.4B2A8B2A2B3A17B.F3.
4BABA6B3AB2ABA17B.F2.4B2A4B2A3B2A21B2.F2.4BA5B4ABA2B2A18B2.F2.4BABA2B
5A2BAB2A18B2.F2.4BA3BA7B3ABA17B2.F.6BA2BA4BA4BA18B3.F.5BA2B2A4BABA21B
3.F.8B8A22B3.F.7B2A5B2A22B3.F$F3.4B2A4B2A3B2A21B.F3.4BA5B4ABA2B2A18B.
F3.4BABA2B5A2BAB2A18B.F3.4BA3BA7B3ABA17B.F2.6BA2BA4BA4BA18B2.F2.5BA2B
2A4BABA21B2.F2.8B8A22B2.F2.7B2A5B2A22B2.F.8B2A5BA22B3.F.7BA30B3.F.8BA
29B3.F.8BAB2A3B2A21B3.F$F3.6BA2BA4BA4BA18B.F3.5BA2B2A4BABA21B.F3.8B8A
22B.F3.7B2A5B2A22B.F2.8B2A5BA22B2.F2.7BA30B2.F2.8BA29B2.F2.8BAB2A3B2A
21B2.F.8B2AB2A4BA20B3.F.12BA4BA20B3.F.13BA2B2A20B3.F.9B2A3BA2BA20B3.F
$F3.8B2A5BA22B.F3.7BA30B.F3.8BA29B.F3.8BAB2A3B2A21B.F2.8B2AB2A4BA20B
2.F2.12BA4BA20B2.F2.13BA2B2A20B2.F2.9B2A3BA2BA20B2.F.9BA3BA2B2A20B3.F
.9BA3B2AB2A20B3.F.9B3A2B4A20B3.F.9B4A25B3.F$F3.8B2AB2A4BA20B.F3.12BA
4BA20B.F3.13BA2B2A20B.F3.9B2A3BA2BA20B.F2.9BA3BA2B2A20B2.F2.9BA3B2AB
2A20B2.F2.9B3A2B4A20B2.F2.9B4A25B2.F.9BA3B2A3B2A18B3.F.9B2AB3A5BA17B
3.F.8BA3BAB2ABABA18B3.F.9B2ABA4B2ABA17B3.F$F3.9BA3BA2B2A20B.F3.9BA3B
2AB2A20B.F3.9B3A2B4A20B.F3.9B4A25B.F2.9BA3B2A3B2A18B2.F2.9B2AB3A5BA
17B2.F2.8BA3BAB2ABABA18B2.F2.9B2ABA4B2ABA17B2.F.10BA2BA4B3A17B3.F.9B
2ABA5BABA17B3.F.12BABA5B2A16B3.F.12BAB2A2BA2BA16B3.F$F3.9BA3B2A3B2A
18B.F3.9B2AB3A5BA17B.F3.8BA3BAB2ABABA18B.F3.9B2ABA4B2ABA17B.F2.10BA2B
A4B3A17B2.F2.9B2ABA5BABA17B2.F2.12BABA5B2A16B2.F2.12BAB2A2BA2BA16B2.F
.10BA2B2A7BA15B3.F.10BA3BA4BABA16B3.F.10B2A7B2A17B3.F.10B2A6B4A16B3.F
$F3.10BA2BA4B3A17B.F3.9B2ABA5BABA17B.F3.12BABA5B2A16B.F3.12BAB2A2BA2B
A16B.F2.10BA2B2A7BA15B2.F2.10BA3BA4BABA16B2.F2.10B2A7B2A17B2.F2.10B2A
6B4A16B2.F.11B3A8BA15B3.F.9BA28B3.F.9BA7B2A19B3.F.9BABA5B3A18B3.F$F3.
10BA2B2A7BA15B.F3.10BA3BA4BABA16B.F3.10B2A7B2A17B.F3.10B2A6B4A16B.F2.
11B3A8BA15B2.F2.9BA28B2.F2.9BA7B2A19B2.F2.9BABA5B3A18B2.F.9B2AB2A3BA
20B3.F.9B2A5B3A19B3.F.8BA2BA5BA20B3.F.5BAB2A3BAB2AB2A19B3.F$F3.11B3A
8BA15B.F3.9BA28B.F3.9BA7B2A19B.F3.9BABA5B3A18B.F2.9B2AB2A3BA20B2.F2.
9B2A5B3A19B2.F2.8BA2BA5BA20B2.F2.5BAB2A3BAB2AB2A19B2.F.5B2ABA4BABAB2A
BA17B3.F.5B2A2B3AB2A23B3.F.4B3AB2ABAB4A21B3.F.4B3AB3AB2A24B3.F$F3.9B
2AB2A3BA20B.F3.9B2A5B3A19B.F3.8BA2BA5BA20B.F3.5BAB2A3BAB2AB2A19B.F2.
5B2ABA4BABAB2ABA17B2.F2.5B2A2B3AB2A23B2.F2.4B3AB2ABAB4A21B2.F2.4B3AB
3AB2A24B2.F.5BA5BA5B3A18B3.F.4B2ABA6BA2BABA18B3.F.4BA2BA6B4A20B3.F.4B
AB4AB3A3BA20B3.F$F3.5B2ABA4BABAB2ABA17B.F3.5B2A2B3AB2A23B.F3.4B3AB2AB
AB4A21B.F3.4B3AB3AB2A24B.F2.5BA5BA5B3A18B2.F2.4B2ABA6BA2BABA18B2.F2.
4BA2BA6B4A20B2.F2.4BAB4AB3A3BA20B2.F.5BABA7BA22B3.F.6BA4B2A3B2ABA18B
3.F.10B2A7BA18B3.F.10BA2BA24B3.F$F3.5BA5BA5B3A18B.F3.4B2ABA6BA2BABA
18B.F3.4BA2BA6B4A20B.F3.4BAB4AB3A3BA20B.F2.5BABA7BA22B2.F2.6BA4B2A3B
2ABA18B2.F2.10B2A7BA18B2.F2.10BA2BA24B2.F.8BA2B2ABA2BABA18B3.F.6B4AB
5AB2A19B3.F.6BA2BA3B3AB2A19B3.F.9BA4B2ABABA18B3.F$F3.5BABA7BA22B.F3.
6BA4B2A3B2ABA18B.F3.10B2A7BA18B.F3.10BA2BA24B.F2.8BA2B2ABA2BABA18B2.F
2.6B4AB5AB2A19B2.F2.6BA2BA3B3AB2A19B2.F2.9BA4B2ABABA18B2.F.7BAB3ABA2B
2A20B3.F.7BAB3A26B3.F.9BA5BAB2A19B3.F.5B3ABA2B2ABA22B3.F$F3.8BA2B2ABA
2BABA18B.F3.6B4AB5AB2A19B.F3.6BA2BA3B3AB2A19B.F3.9BA4B2ABABA18B.F2.7B
AB3ABA2B2A20B2.F2.7BAB3A26B2.F2.9BA5BAB2A19B2.F2.5B3ABA2B2ABA22B2.F.
7B2A4B2AB2A20B3.F.6BA4BAB2A3BA19B3.F.5B2AB2ABABA3BA20B3.F.8B3A2BA24B
3.F$F3.7BAB3ABA2B2A20B.F3.7BAB3A26B.F3.9BA5BAB2A19B.F3.5B3ABA2B2ABA
22B.F2.7B2A4B2AB2A20B2.F2.6BA4BAB2A3BA19B2.F2.5B2AB2ABABA3BA20B2.F2.
8B3A2BA24B2.F.6BABA2BA2BA2BA20B3.F.5B2ABA3BA3B2A20B3.F.12B6A20B3.F.5B
A3BA3BABABA20B3.F$F3.7B2A4B2AB2A20B.F3.6BA4BAB2A3BA19B.F3.5B2AB2ABABA
3BA20B.F3.8B3A2BA24B.F2.6BABA2BA2BA2BA20B2.F2.5B2ABA3BA3B2A20B2.F2.
12B6A20B2.F2.5BA3BA3BABABA20B2.F.5B2A6B2A23B3.F.5B3A7BA22B3.F.4BA5B2A
3BA22B3.F.4B2A3B2A2BA24B3.F$F3.6BABA2BA2BA2BA20B.F3.5B2ABA3BA3B2A20B.
F3.12B6A20B.F3.5BA3BA3BABABA20B.F2.5B2A6B2A23B2.F2.5B3A7BA22B2.F2.4BA
5B2A3BA22B2.F2.4B2A3B2A2BA24B2.F.9BA2B3A23B3.F.5BA2B4A3BA22B3.F.4B2A
2BAB2A3BA22B3.F.3BAB2A2B3A2B3A21B3.F$F3.5B2A6B2A23B.F3.5B3A7BA22B.F3.
4BA5B2A3BA22B.F3.4B2A3B2A2BA24B.F2.9BA2B3A23B2.F2.5BA2B4A3BA22B2.F2.
4B2A2BAB2A3BA22B2.F2.3BAB2A2B3A2B3A21B2.F.4BA3B3AB2A2B2A20B3.F.5BA2BA
BA5B2A20B3.F.3BABABA6BABA21B3.F.3BAB3A5B2A2BA20B3.F$F3.9BA2B3A23B.F3.
5BA2B4A3BA22B.F3.4B2A2BAB2A3BA22B.F3.3BAB2A2B3A2B3A21B.F2.4BA3B3AB2A
2B2A20B2.F2.5BA2BABA5B2A20B2.F2.3BABABA6BABA21B2.F2.3BAB3A5B2A2BA20B
2.F.4BABA2BA2BAB2ABA20B3.F.2B3A3B2A2BAB2A22B3.F.4BA3B2AB3AB3A20B3.F
42.F$F3.4BA3B3AB2A2B2A20B.F3.5BA2BABA5B2A20B.F3.3BABABA6BABA21B.F3.3B
AB3A5B2A2BA20B.F2.4BABA2BA2BAB2ABA20B2.F2.2B3A3B2A2BAB2A22B2.F2.4BA3B
2AB3AB3A20B2.F42.F42.F42.F42.F42.F$F3.4BABA2BA2BAB2ABA20B.F3.2B3A3B2A
2BAB2A22B.F3.4BA3B2AB3AB3A20B.F42.F42.F42.F42.F42.F42.F42.F42.F42.F!

At this width it terminates with this giant partial it doesn't manage to complete and at one width up it fills memory and dies. I skimmed a ton of random partials in the logs on the way (both this search and all the others) and it's all deletion reactions.

Post by **Sokwe** » March 17th, 2024, 5:07 pm

amling wrote: ↑

March 17th, 2024, 1:39 pm

That sparker with that clearance is quite demanding. Some preliminary searches (8 GB) do find longish partials but they don't look very nice to me (mostly wide and mostly getting wider as they go), e.g.:

Code: Select all

x = 74, y = 53, rule = B3/S23
28b2o$27b2o$29bo$31b2o$30bo2$29bo2bo$26b2obo$25b2o4bo$27bobo2bo$32bo$
32bo$27b3ob2o$25b2obo3bo$25bo4bobobo$26b2o3b3o$32bo$8bo$7b2o22bo$7bobo
20b2o$32bo$10b2o18b2o$10b2o20bobobo$32b2obo$bo6b2o22b2obo2bo$2o5bo2bo
21bo4bo$obo3b2obo23b2o38bo$4bo29bo7bobobo4b2o9bo5bo4bo$3bo28bob3o4bob
2ob2o2b2o8b2o4b2o2bo2bo$3bo2b2o23b3o3bo4bo9bo6bobo2b3o5bo$8bo23bo3bo3b
2o4b2o6b2o2b4o6bob2o$7bo3bo28b3o11b4o2b2o6bo$7bo4b2o17bobo6b2ob4o9b4o
5bob2o$8bo4b4o12b3o3bo5bo18bo2b2obobob2o$9bo4b2obo7bo3b2o5b2o3bo9bob3o
6bo8bo$11bo3bo2bo4bo2b2o3bo6bo2bo2bo4b2o8bo2bo2bo4bo$10b2obobo6b2o2bo
5b3ob4obobo4b2o5bo3bo6bo$13bobobo4b3obo3bob11o5bobob3o6b2obo5b3o$15b2o
2b2o7b2o22bo2b2o7bo2b2obo$18b2o27b2obobo2b2o9b4o$19bo21b2o3bo3bobo2bo
2bob4o2bob2ob3o$30b2o5bo2b3o3bo2b2o4b2obo3b5ob2ob2o$30b2o4b3o2b2o2b2o
4bo2bob2o5bo2bo$37bobobo3b2obo5bob2o7bob4o2bo$33b2o3b3o4bo3bobobo2b2ob
ob2o4bobob3o$33b2o4bo6bo4bo11b2o6b2o$48bo7bo2b4obo6b2o$48bo2bob2o4bobo
2b2o$44bo4bob2o2b2obobobobobob2o3bo$45bo5bo2b2o12b2o$43b3o4bo11b2o2bo
4bo$52bo2bo5bo9bo$54bo!

Some amount of branching seems like it must give a solution. Here's a (possibly bad) example:

Code: Select all

x = 67, y = 57, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo$26bo$31b3o$7b2o$7bobo20b2o$7bo22b3o15bo
11bo$10bo21bo8bobo4bo10bo$10b2o19b3o7bob3o2bo9bo$10b2o20bob2o4bo17bo$
9b2o20bo3b2o3bobo2bobo9bo$2o6b2o21bo4bo6bo2bo8b2ob2o$obo3b2o2bo21bo7bo
5bo8b3ob2o$o5b3o24b2o5bo3b2o9bo4b2o$3bo36bo5b2o10bo4bo$3b2o26b2ob3o4bo
12b4o4b2o$7bo23bo2bo2bo2bo2bo3bo6bobo3b2o$6bobo22b3o6bob3o2bo5b2o2bo$
7b2o3bo19bo6bo6bo7bobo$7b2o3b2obo15b2o10bo12bo$8bo3bo3bo12bob2o3bo4bo
2bo9b2o$13bo3bo8bob2o6b2o2b3o7bo3bo$11b2o2bo6b6o2b4obo3bobo6b3o4bo5bo$
10b2o3bo10bo16bo4bo2bob2o5b4o$12bo2bo5b2ob2obobob2o8b2o5bo2b4obo3bo2b
2o$14b4ob2o2bo5bo3b9o5b2o3bo3bo4b2obo$18bo28bobo2b3o2bo4bo2bo$18b2o20b
obo3bobobo3bo4bo5bo$30b2o4b3obo2bo2b2ob2o3bo3b2obo$30b2o4bo2bo9b2o3bo
3bo2bo3bo$36bo4b2obo2bo2bob3o$33b2o10bobo2bobo2b4o7bo$33b2o3b3o9bobo3b
2o3b2o2b2o$47bo4bo8b2o2bo$48b4ob2ob2ob2o3bobo$51bo4bo2bo$43bobo5b2ob2o
4bo3bobo$44b2o5bo2b2o2bob2obo2bo$44bo11bo2bobo$56b2obobo$57bo2bo$56bo
2bobo$55bo3bo$56bo2bo!

amling wrote: ↑
March 17th, 2024, 1:39 pm
Preliminary searches for the upward branch counter clockwise from that went even less of anywhere.

Do you mean the branch that is part of the puffer engine itself? I would have guessed that was easier than the huge forward sparker.

amling · Post by **amling** » March 17th, 2024, 6:20 pm

Sokwe wrote: ↑

March 17th, 2024, 5:07 pm

Some amount of branching seems like it must give a solution. Here's a (possibly bad) example:

Code: Select all

x = 67, y = 57, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo$26bo$31b3o$7b2o$7bobo20b2o$7bo22b3o15bo
11bo$10bo21bo8bobo4bo10bo$10b2o19b3o7bob3o2bo9bo$10b2o20bob2o4bo17bo$
9b2o20bo3b2o3bobo2bobo9bo$2o6b2o21bo4bo6bo2bo8b2ob2o$obo3b2o2bo21bo7bo
5bo8b3ob2o$o5b3o24b2o5bo3b2o9bo4b2o$3bo36bo5b2o10bo4bo$3b2o26b2ob3o4bo
12b4o4b2o$7bo23bo2bo2bo2bo2bo3bo6bobo3b2o$6bobo22b3o6bob3o2bo5b2o2bo$
7b2o3bo19bo6bo6bo7bobo$7b2o3b2obo15b2o10bo12bo$8bo3bo3bo12bob2o3bo4bo
2bo9b2o$13bo3bo8bob2o6b2o2b3o7bo3bo$11b2o2bo6b6o2b4obo3bobo6b3o4bo5bo$
10b2o3bo10bo16bo4bo2bob2o5b4o$12bo2bo5b2ob2obobob2o8b2o5bo2b4obo3bo2b
2o$14b4ob2o2bo5bo3b9o5b2o3bo3bo4b2obo$18bo28bobo2b3o2bo4bo2bo$18b2o20b
obo3bobobo3bo4bo5bo$30b2o4b3obo2bo2b2ob2o3bo3b2obo$30b2o4bo2bo9b2o3bo
3bo2bo3bo$36bo4b2obo2bo2bob3o$33b2o10bobo2bobo2b4o7bo$33b2o3b3o9bobo3b
2o3b2o2b2o$47bo4bo8b2o2bo$48b4ob2ob2ob2o3bobo$51bo4bo2bo$43bobo5b2ob2o
4bo3bobo$44b2o5bo2b2o2bob2obo2bo$44bo11bo2bobo$56b2obobo$57bo2bo$56bo
2bobo$55bo3bo$56bo2bo!

The subjectively best split from what I had run was ... (reads some log files) ... this:

Code: Select all

x = 72, y = 53, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo$26bo$31b3o$7b2o$7bobo20b2o$7bo22b3o15bo$
10bo21bo8bobo4bo$10b2o19b3o7bob3o2bo$10b2o20bob2o4bo$9b2o20bo3b2o3bobo
2bobo23bo$2o6b2o21bo4bo6bo2bo24bo$obo3b2o2bo21bo7bo5bo24bo$o5b3o24b2o
5bo3b2o24b2o$3bo36bo5b2o2b3o16bo$3b2o26b2ob3o4bo8bo9bo8b2o$7bo23bo2bo
2bo2bo2bo3bo3bo6bo3bo3bo3b2o$6bobo22b3o6bob3o2bo5b2o2b2o3bob3o$7b2o3bo
19bo6bo6bo7bo7bo4bo3bo$7b2o3b2obo15b2o10bo14b2o3bo2bo$8bo3bo3bo12bob2o
3bo4bo2bo9b6o4b3o$13bo3bo8bob2o6b2o2b3o7bo3bo$11b2o2bo6b6o2b4obo3bobo
6b3o4bo4bo4bo$10b2o3bo10bo16bo4bo2bob2o5bo$12bo2bo5b2ob2obobob2o8b2o5b
o2b4obo6b2o$14b4ob2o2bo5bo3b9o5b2o3bo3bo6bobo$18bo28bobo2b3o2bo5b2o$
18b2o20bobo3bobobo3bo4bob4o6bo$30b2o4b3obo2bo2b2ob2o3bo3b2o2bo3bo3b2o$
30b2o4bo2bo9b2o3bo3bo2b5obo$36bo4b2obo2bo2bob3o6b2o2bo3bo$33b2o10bobo
2bobo2b4o6b5o$33b2o3b3o9bobo3b2obobo3bo2bobo$47bo4bo7b2ob2o$48b4ob2ob
2obo3b2o3b2obo$51bo4bo2bob2o3bo4bo$43bobo5b2ob3o3b4obo5bo$44b2o5bo2b2o
3b2o4bo4b2o$44bo20bo$66bo3bo!

I guess I could believe it's solvable but it's probably gonna take some work.

Sokwe wrote: ↑
March 17th, 2024, 5:07 pm

amling wrote: ↑
March 17th, 2024, 1:39 pm
Preliminary searches for the upward branch counter clockwise from that went even less of anywhere.
Do you mean the branch that is part of the puffer engine itself? I would have guessed that was easier than the huge forward sparker.

I mean this branch, with subjectively best partial so far pasted in and the search window that found it in yellow:

Code: Select all

x = 72, y = 53, rule = LifeHistory
27.3A$27.A$28.A$30.2A$31.A2$28.A$25.4A.A$25.A4.A$26.A4.2A$31.3A$28.A
3.2A$26.4A.3A$25.2A.A.A.A$25.A12.E2.3E2.3E$26.A14.2E4.E$31.3A4.E.E5.E
$7.2A33.E2.E$7.A.A20.2A7.2E.E3.E.E$7.A22.3A7.E2.2E4.E$10.A21.A8.E.2E.
E$10.2A19.3A6.2E.E$10.2A20.A.AE5.E2.E2.E$9.2A20.A3.2E5.E.E26.A$2A6.2A
21.A4.E4.2E.E2.E23.A$A.A3.2A2.A21.A9.E3.E24.A$A5.3A24.2A8.E26.2A$3.A
38.2E6.3A16.A$3.2A26.2A.A2E4.2E7.A9.A8.2A$7.A23.A2.A2.E2.E2.E7.A6.A3.
A3.A3.2A$6.A.A22.3A6.E.2E9.2A2.2A3.A.3A$7.2A3.A19.A6.E14.A7.A4.A3.A$
7.2A3.2A.A15.2A10.2E13.2A3.A2.A$8.A3.A3.A12.A.2A3.E4.E12.6A4.3A$13.A
3.A8.A.2A6.2E2.3E7.A3.A$11.2A2.A6.6A2.4A.E3.E.E6.3A4.A4.A4.A$10.2A3.A
10.A16.E4.A2.A.2A5.A$12.A2.A5.2A.2A.A.A.2A8.2E5.A2.4A.A6.2A$14.4A.2A
2.A5.A3.2A7E5.2A3.A3.A6.A.A$18.A28.A.A2.3A2.A5.2A$18.2A20.A.A3.A.A.A
3.A4.A.4A6.A$30.2A4.3A.A2.A2.2A.2A3.A3.2A2.A3.A3.2A$30.2A4.A2.A9.2A3.
A3.A2.5A.A$36.A4.2A.A2.A2.A.3A6.2A2.A3.A$33.2A10.A.A2.A.A2.4A6.5A$33.
2A3.3A9.A.A3.2A.A.A3.A2.A.A$47.A4.A7.2A.2A$48.4A.2A.2A.A3.2A3.2A.A$
51.A4.A2.A.2A3.A4.A$43.A.A5.2A.3A3.4A.A5.A$44.2A5.A2.2A3.2A4.A4.2A$
44.A20.A$66.A3.A!

I guess it just seems rather hemmed in, stuck searching upward, and subjectively the rate at which search results were lengthening with widening windows seemed poor. Alas it's crummy subjective metrics all the way down.

Post by **Sokwe** » March 17th, 2024, 8:24 pm

amling wrote: ↑
March 17th, 2024, 6:20 pm
I guess it just seems rather hemmed in, stuck searching upward, and subjectively the rate at which search results were lengthening with widening windows seemed poor. Alas it's crummy subjective metrics all the way down.

I feel like it wouldn't be too hard to move that center branch out of the way or just get an entirely new front end for the puffer engine that doesn't have an in-the-way branch right there. The large sparker looks like it shouldn't be too hard to complete. That simple top branch is easy, at least. Here is a messy partial with now 4 incomplete branches. I'm not sure if we're any better off, but I'm sure that this could be solved with current tools and some unknown amount of effort:

Code: Select all

x = 86, y = 49, rule = B3/S23
74bo$62b2o9b2o$61b2o3bo6bobo$39bo23bob2o15b3o$8bo31bo24b3o5bobo4b2ob2o
$7b2o29bobo24bo6b2obobobo$7bobo17b2obob2o5bo3b3o21b3obo6bob2o$30b2o7b
3obob2o21b2o7bo$10b2o16bo13b2ob2o21b2o5b2o$10b2o16bo5bo4bo4b2o24b5o$
28bo3bobo5bo4bo$bo6b2o31bobo$2o5bo2bo21b2o8b3o$obo3b2obo19bo13b2o26bo$
4bo23b3ob2o3b2o12b2o17b2obo$3bo26b2o5bo2bob2o6b2o17b2o2bo$3bo2b2o23b3o
3bo3bo10bo6b3o5bo$8bo23bo6bo2bo11b2o2b5o2b2o4bo$7bo3bo28b3obo9b4o6b2o
15b2o$7bo4b2o17bobo6b2obo12b5o2b5obo12bo$8bo4b4o12b3o3bo5bo2bo29bo3b2o
b2o$9bo4b2obo7bo3b2o5b2o3bo9bob3o17b2o3bo$11bo3bo2bo4bo2b2o3bo6bo2bo2b
o4b2o9b2o4bo6bob3o5bo$10b2obobo6b2o2bo5b3ob4obobo4b2o5bo3bo4bobo$13bob
obo4b3obo3bob11o5bobob3o9bo5b2ob2ob2o3b2o$15b2o2b2o7b2o22bo2b2o6bo2bo
3b2o6b2o$18b2o27b2obobo2b2o6b2o3bo3bobo3bo$19bo21b2o3bo3bobo2bo2bo2b2o
5bo$30b2o5bo2b3o3bo2b2o4b2obobo4bo$30b2o4b3o2b2o2b2o4bo2bob2o4bo2bobo$
37bobobo3b2obo5bob2o4b2o2b2o$33b2o3b3o4bo3bobobo2b2ob2o2b2o2b2ob3o$33b
2o4bo6bo4bo11b2o5b6o$48bo7bo3b2ob2o4bobo5bo$48bo2bob2o5b2o7bo8bo$44bo
4bob2o2b2obo2bobo2b2o5b4o2bo$45bo5bo2b2o4bo4bo8b2o$43b3o4bo8b2o2b3o9bo
b2o$52bo2bo9bobo6b2o7b2o$54bo12bo3bo7b3obo$70b5o3b5o$70bo2b2o$72b3o2bo
bo$77bo2bo$76bo4bo$75b2o3bob2o$75bo3b2o3b2o$82b2obo$83bo!

I guess my next question is whether the block can actually be replaced by some ship like I thought, or was I foolish in thinking that's the "easy" part? A domino spark could maybe work, but I'm not sure if there's enough room for such a sparker:

Code: Select all

x = 86, y = 49, rule = B3/S23
74bo$62b2o9b2o$61b2o3bo6bobo$39bo23bob2o15b3o$8bo31bo24b3o5bobo4b2ob2o
$7b2o29bobo24bo6b2obobobo$7bobo17b2obob2o5bo3b3o21b3obo6bob2o$30b2o7b
3obob2o21b2o7bo$10b2o16bo13b2ob2o21b2o5b2o$10b2o16bo5bo4bo4b2o24b5o$
28bo3bobo5bo4bo$bo6b2o31bobo$2o5bo2bo21b2o8b3o$obo3b2obo19bo13b2o26bo$
4bo23b3ob2o3b2o12b2o17b2obo$3bo26b2o5bo2bob2o6b2o17b2o2bo$3bo2b2o23b3o
3bo3bo10bo6b3o5bo$8bo23bo6bo2bo11b2o2b5o2b2o4bo$7bo3bo28b3obo9b4o6b2o
15b2o$7bo4b2o17bobo6b2obo12b5o2b5obo12bo$8bo4b4o12b3o3bo5bo2bo29bo3b2o
b2o$9bo4b2obo7bo3b2o5b2o3bo9bob3o17b2o3bo$11bo3bo2bo4bo2b2o3bo6bo2bo2b
o4b2o9b2o4bo6bob3o5bo$10b2obobo6b2o2bo5b3ob4obobo4b2o5bo3bo4bobo$13bob
obo4b3obo3bob11o5bobob3o9bo5b2ob2ob2o3b2o$15b2o2b2o7b2o22bo2b2o6bo2bo
3b2o6b2o$18b2o27b2obobo2b2o6b2o3bo3bobo3bo$19bo21b2o3bo3bobo2bo2bo2b2o
5bo$37bo2b3o3bo2b2o4b2obobo4bo$36b3o2b2o2b2o4bo2bob2o4bo2bobo$34bo2bob
obo3b2obo5bob2o4b2o2b2o$34bo3b3o4bo3bobobo2b2ob2o2b2o2b2ob3o$39bo6bo4b
o11b2o5b6o$48bo7bo3b2ob2o4bobo5bo$48bo2bob2o5b2o7bo8bo$44bo4bob2o2b2ob
o2bobo2b2o5b4o2bo$45bo5bo2b2o4bo4bo8b2o$43b3o4bo8b2o2b3o9bob2o$52bo2bo
9bobo6b2o7b2o$54bo12bo3bo7b3obo$70b5o3b5o$70bo2b2o$72b3o2bobo$77bo2bo$
76bo4bo$75b2o3bob2o$75bo3b2o3b2o$82b2obo$83bo!

amling · Post by **amling** » March 17th, 2024, 11:26 pm

amling wrote: ↑

March 17th, 2024, 6:20 pm

Sokwe wrote: ↑

March 17th, 2024, 5:07 pm

Some amount of branching seems like it must give a solution. Here's a (possibly bad) example:

Code: Select all

x = 67, y = 57, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo$26bo$31b3o$7b2o$7bobo20b2o$7bo22b3o15bo
11bo$10bo21bo8bobo4bo10bo$10b2o19b3o7bob3o2bo9bo$10b2o20bob2o4bo17bo$
9b2o20bo3b2o3bobo2bobo9bo$2o6b2o21bo4bo6bo2bo8b2ob2o$obo3b2o2bo21bo7bo
5bo8b3ob2o$o5b3o24b2o5bo3b2o9bo4b2o$3bo36bo5b2o10bo4bo$3b2o26b2ob3o4bo
12b4o4b2o$7bo23bo2bo2bo2bo2bo3bo6bobo3b2o$6bobo22b3o6bob3o2bo5b2o2bo$
7b2o3bo19bo6bo6bo7bobo$7b2o3b2obo15b2o10bo12bo$8bo3bo3bo12bob2o3bo4bo
2bo9b2o$13bo3bo8bob2o6b2o2b3o7bo3bo$11b2o2bo6b6o2b4obo3bobo6b3o4bo5bo$
10b2o3bo10bo16bo4bo2bob2o5b4o$12bo2bo5b2ob2obobob2o8b2o5bo2b4obo3bo2b
2o$14b4ob2o2bo5bo3b9o5b2o3bo3bo4b2obo$18bo28bobo2b3o2bo4bo2bo$18b2o20b
obo3bobobo3bo4bo5bo$30b2o4b3obo2bo2b2ob2o3bo3b2obo$30b2o4bo2bo9b2o3bo
3bo2bo3bo$36bo4b2obo2bo2bob3o$33b2o10bobo2bobo2b4o7bo$33b2o3b3o9bobo3b
2o3b2o2b2o$47bo4bo8b2o2bo$48b4ob2ob2ob2o3bobo$51bo4bo2bo$43bobo5b2ob2o
4bo3bobo$44b2o5bo2b2o2bob2obo2bo$44bo11bo2bobo$56b2obobo$57bo2bo$56bo
2bobo$55bo3bo$56bo2bo!

The subjectively best split from what I had run was ... (reads some log files) ... this:

Code: Select all

x = 72, y = 53, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo$26bo$31b3o$7b2o$7bobo20b2o$7bo22b3o15bo$
10bo21bo8bobo4bo$10b2o19b3o7bob3o2bo$10b2o20bob2o4bo$9b2o20bo3b2o3bobo
2bobo23bo$2o6b2o21bo4bo6bo2bo24bo$obo3b2o2bo21bo7bo5bo24bo$o5b3o24b2o
5bo3b2o24b2o$3bo36bo5b2o2b3o16bo$3b2o26b2ob3o4bo8bo9bo8b2o$7bo23bo2bo
2bo2bo2bo3bo3bo6bo3bo3bo3b2o$6bobo22b3o6bob3o2bo5b2o2b2o3bob3o$7b2o3bo
19bo6bo6bo7bo7bo4bo3bo$7b2o3b2obo15b2o10bo14b2o3bo2bo$8bo3bo3bo12bob2o
3bo4bo2bo9b6o4b3o$13bo3bo8bob2o6b2o2b3o7bo3bo$11b2o2bo6b6o2b4obo3bobo
6b3o4bo4bo4bo$10b2o3bo10bo16bo4bo2bob2o5bo$12bo2bo5b2ob2obobob2o8b2o5b
o2b4obo6b2o$14b4ob2o2bo5bo3b9o5b2o3bo3bo6bobo$18bo28bobo2b3o2bo5b2o$
18b2o20bobo3bobobo3bo4bob4o6bo$30b2o4b3obo2bo2b2ob2o3bo3b2o2bo3bo3b2o$
30b2o4bo2bo9b2o3bo3bo2b5obo$36bo4b2obo2bo2bob3o6b2o2bo3bo$33b2o10bobo
2bobo2b4o6b5o$33b2o3b3o9bobo3b2obobo3bo2bobo$47bo4bo7b2ob2o$48b4ob2ob
2obo3b2o3b2obo$51bo4bo2bob2o3bo4bo$43bobo5b2ob3o3b4obo5bo$44b2o5bo2b2o
3b2o4bo4b2o$44bo20bo$66bo3bo!

I guess I could believe it's solvable but it's probably gonna take some work.

Sparker solved:

Code: Select all

x = 120, y = 55, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo12bo2b3o2b3o$26bo14b2o4bo$31b3o4bobo5bo$7b
2o33bo2bo$7bobo20b2o7b2obo3bobo$7bo22b3o7bo2b2o4bo$10bo21bo8bob2obo$
10b2o19b3o6b2obo$10b2o20bob2o5bo2bo2bo$9b2o20bo3b2o5bobo70bo$2o6b2o21b
o4bo4b2obo2bo26bobo37b2o$obo3b2o2bo21bo9bo3bo19b2o5b2o39bobo$o5b3o24b
2o8bo21b2o6bo2b2obo$3bo38b2o6b3o14bo2b2obo3bo2bo36b2o$3b2o26b2ob3o4b2o
7bo9bo8b2o7b3o34bo3bo$7bo23bo2bo2bo2bo2bo7bo6bo3bo3bo3bo7b2o30b3o2b2o
2bo$6bobo22b3o6bob2o9b2o2b2o3bob3o5bo6bo30bo3bo$7b2o3bo19bo6bo14bo7bo
4bo2b2o4b2ob2o27bobobo$7b2o3b2obo15b2o10b2o13b2o3bo2bo9bo7bo19bob2obo
2bo2bo$8bo3bo3bo12bob2o3bo4bo12b6o4b3o10bo5b2o5b2o10b3ob2obo4bo$13bo3b
o8bob2o6b2o2b3o7bo3bo28bobo3b2o10b2o2bo2bo$11b2o2bo6b6o2b4obo3bobo6b3o
4bo4bo4bo4b3o17b2o5b2obo3bo$10b2o3bo10bo16bo4bo2bob2o5bo9bo3bo12b4o6bo
$12bo2bo5b2ob2obobob2o8b2o5bo2b4obo6b2o7bob2ob4o4bobo2bo6bobo4b3o$14b
4ob2o2bo5bo3b9o5b2o3bo3bo6bobo2bobo2bo5bo2bob3obo4b2o3bo4b2obo$18bo28b
obo2b3o2bo5b2o3b2o2b2obo3bo2bo5b3ob2o2bo3bo$18b2o20bobo3bobobo3bo4bob
4o11b2o3b2ob2o7b4o3bo$30b2o4b3obo2bo2b2ob2o3bo3b2o2bo3bo3bobobob2obo3b
3o9bo$30b2o4bo2bo9b2o3bo3bo2b5obobobo5bobo3bo$36bo4b2obo2bo2bob3o6b2o
2bo3bobo4bobo$33b2o10bobo2bobo2b4o6b8o5bo9b3o$33b2o3b3o9bobo3b2obobo3b
o2bo6b3o3b2o5bo$47bo4bo7b2ob2o9b2o5b2o6bo$48b4ob2ob2obo3b2o3b3o5b4o11b
2o$51bo4bo2bob2o3bo9b2o5b2o7bo$43bobo5b2ob3o3b4obo12bo4bo2bo$44b2o5bo
2b2o3b2o4bo6b2o6bob2o2bo$44bo20bo5b2o5bo7bob4o$66bo6bo4b2o8b2obo$75b2o
$75b2o11b3o!

amling · Post by **amling** » March 18th, 2024, 3:29 am

Sokwe wrote: ↑

March 17th, 2024, 7:30 pm

It should be possible to construct a p20 rake using this. We just need to solve a few somewhat difficult c/4d problems:

Code: Select all

x = 74, y = 85, rule = B3/S23
28b2o$28bobo$28bo$31bo$31b2o$31b2o$30b2o$26b2ob2o$26bo4bo$26bob4o$30b
2o$31bo$30b2o$26b4obo2bo$25b2obobobo$27bo4b3o27b2o$50b3o9bobo$32bo17bo
2b3o6bo9bo$7b3o41bobo16b2obo$7bo22b2o24bo4b2o2bo3b2o2bo$8bo21b2o22bo6b
2o2bob2o2bo$10b2o19bo24bob2obo3b5o$11bo23bo29b2o$32b2obobo19bo2b6o$8b
2o22b2obo2bo19b7o$3o5b2o25b3o22b3o$o6bobo22bob2o$bo4b2o26bo10b2o5b2o$
3b4obo23bo3bo7b2o6bobo4b3o$4b2o26b2obobo8bo5bo5bobo$8bo22bo5bo10b2o3bo
4b4o$7bobo38b4o3bo3bo$8b5obo18bo16b2ob3o$8bob3o2bo14b4o13b5o4bo$9bobo
3b2o11b2o2b5obo3bo4b3o$11bo3bob2o5b3o7bobo4bob4o$11bobobob2o4b4o4b8o2b
6o$11bob3obo3b2o6bo9b2o3bobo$19bo6bo2bo16bob2o$15bo2b2o8bo4bo9bo$15bo
7b2o$20bo15b5o$29b2o$22b3o3b4o5bo$22bo3b2o3bob2o2b2ob2o$25bo3bobo9b2o$
23bobo4bo7bo4bo$23bo3bo2bo8b2o2bo$23b3obob2o9b3o$15b3o3b2obob2o$15bo4b
obo3bob2o$16bo2bo2bo3b2o2bo7b2ob3o$19bo6bo11bob5o$20b2o3bobo10bo6b3obo
$15b2o2b2o14b2obo10bo$10bo3b2o19bo3bob2o3b2ob2o$9b2o4bob2o3b2o11bob2o
2b2o4b2o$9bobo3b3o4b2o16bobob2o5bo$16b2o5b2o17b2o3bo4b2o$12b2o3bo4bo
20bo4bo2b3o$13b2o7bo20bob6o3bo$13b2o2bo26bo4bo6bo$14bobo32bo6bo$10bo6b
2o28bo2b4ob2o$9b2o6b2o27bo6bob2o$9bobo2b4o28b3o6b2o$13b3o35b2o2bo$12bo
2bo32b2o2bo$16b2o32b2o$15b2obo31b2o$18bo$15bo$14bo2bo$14bo$10b2o2b2o$
10bo$10bo3bo$12bob2o$13b2obo$15bo$12b2ob2o$11b3ob2o2$10b2o$10bo!

My first crack at this did not solve but produced some fairly long partials. Unfortunately they're starting to hem that next branch west in rather badly:

Code: Select all

x = 85, y = 97, rule = B3/S23
4$30b2o$30bobo$30bo$33bo$33b2o$33b2o$32b2o$28b2ob2o$28bo4bo$28bob4o$
32b2o$33bo$32b2o$28b4obo2bo$27b2obobobo$29bo4b3o27b2o$52b3o9bobo$34bo
17bo2b3o6bo9bo$9b3o41bobo16b2obo$9bo22b2o24bo4b2o2bo3b2o2bo$10bo21b2o
22bo6b2o2bob2o2bo$12b2o19bo24bob2obo3b5o$13bo23bo29b2o$34b2obobo19bo2b
6o$10b2o22b2obo2bo19b7o$2b3o5b2o25b3o22b3o$2bo6bobo22bob2o$3bo4b2o26bo
10b2o5b2o$5b4obo23bo3bo7b2o6bobo4b3o$6b2o26b2obobo8bo5bo5bobo$10bo22bo
5bo10b2o3bo4b4o$9bobo38b4o3bo3bo$10b5obo18bo16b2ob3o$10bob3o2bo14b4o
13b5o4bo$11bobo3b2o11b2o2b5obo3bo4b3o$13bo3bob2o5b3o7bobo4bob4o$13bobo
bob2o4b4o4b8o2b6o$13bob3obo3b2o6bo9b2o3bobo$21bo6bo2bo16bob2o$17bo2b2o
8bo4bo9bo$17bo7b2o$22bo15b5o$31b2o$24b3o3b4o5bo$24bo3b2o3bob2o2b2ob2o$
27bo3bobo9b2o$25bobo4bo7bo4bo$25bo3bo2bo8b2o2bo$25b3obob2o9b3o$17b3o3b
2obob2o$17bo4bobo3bob2o$18bo2bo2bo3b2o2bo7b2ob3o$21bo6bo11bob5obo$22b
2o3bobo10bo7b2o$17b2o2b2o16b2o6b3o$12bo3b2o18b2o2bo2bo2bo$11b2o4bob2o
3b2o10bo4bob3o$11bobo3b3o4b2o10bo6b2o2bo$18b2o5b2o10b2o2b6o$14b2o3bo4b
o12b2obobob2o$15b2o7bo12b2obo$15b2o2bo14b2o2bo$16bobo14b2obobobob5o$
12bo6b2o14b4o2b5obo$11b2o6b2o14b2o3b2o3b3o$11bobo2b4o15b2ob2ob2o3b2o$
15b3o17b3obo6b3o$14bo2bo16bo4b2o3bo3bo$18b2o14bo3bo5b2o$17b2obo13bob2o
3b4o3bo$20bo13bobo2bo2b2obo$17bo21bo6bobo$16bo2bo15b2o5b2ob2obo$16bo
18b3o3bobo2bo$12b2o2b2o17b2ob5ob2obobo$12bo23bo2bo3bo3b3o$12bo3bo$14bo
b2o$15b2obo$17bo$14b2ob2o$13b3ob2o2$12b2o$12bo!

Code: Select all

x = 90, y = 97, rule = B3/S23
7$40b2o$40bobo$40bo$43bo$43b2o$43b2o$42b2o$38b2ob2o$38bo4bo$38bob4o$
42b2o$43bo$42b2o$38b4obo2bo$37b2obobobo$39bo4b3o27b2o$62b3o9bobo$44bo
17bo2b3o6bo9bo$19b3o41bobo16b2obo$19bo22b2o24bo4b2o2bo3b2o2bo$20bo21b
2o22bo6b2o2bob2o2bo$22b2o19bo24bob2obo3b5o$23bo23bo29b2o$44b2obobo19bo
2b6o$20b2o22b2obo2bo19b7o$12b3o5b2o25b3o22b3o$12bo6bobo22bob2o$13bo4b
2o26bo10b2o5b2o$15b4obo23bo3bo7b2o6bobo4b3o$16b2o26b2obobo8bo5bo5bobo$
20bo22bo5bo10b2o3bo4b4o$19bobo38b4o3bo3bo$20b5obo18bo16b2ob3o$20bob3o
2bo14b4o13b5o4bo$21bobo3b2o11b2o2b5obo3bo4b3o$23bo3bob2o5b3o7bobo4bob
4o$23bobobob2o4b4o4b8o2b6o$23bob3obo3b2o6bo9b2o3bobo$31bo6bo2bo16bob2o
$27bo2b2o8bo4bo9bo$27bo7b2o$32bo15b5o$41b2o$34b3o3b4o5bo$34bo3b2o3bob
2o2b2ob2o$37bo3bobo9b2o$35bobo4bo7bo4bo$35bo3bo2bo8b2o2bo$35b3obob2o9b
3o$27b3o3b2obob2o$27bo4bobo3bob2o$28bo2bo2bo3b2o2bo7b2ob3o$31bo6bo11bo
b5obo$32b2o3bobo10bo7b2o$27b2o2b2o16b2o6b3o$22bo3b2o18b2o2bo2bo2bo$21b
2o4bob2o3b2o5bo4bo4bob3o$21bobo3b3o4b2o4b2o4bo6b2o2bo$28b2o5b2o3bobo4b
2o2b6o$24b2o3bo4bo12b2obobob2o$25b2o7bo8b2o2b2obo4b2o$25b2o2bo13b2o9bo
bo$26bobo19bo3bobo$22bo6b2o14b5obo$21b2o6b2o13bo2bo$21bobo2b4o14bo2bo$
25b3o16b3ob6o$24bo2bo18bob3o3bo$28b2o15bo6bo$27b2obo15b2o2bobobo$30bo
16bo5b2o$27bo19bo3b2obobo$26bo2bo16bob5obo2bo$26bo19bo4bo2bobobo$22b2o
2b2o19b3obobo2b2o$22bo23b2o3bobo$22bo3bo18b2o2bob2ob2o$24bob2o16bo4bo
4b2o$25b2obo14bob3ob2ob2o$27bo14b2ob2ob3ob2o$24b2ob2o12b4o3b2o3bo$23b
3ob2o11b2o2b2o7bo$41b2ob2o6bo$22b2o17bo6bo4b2o$22bo22b2ob2ob6o!

TBD if I can solve this when a more serious amount of memory is available.

amling · Post by **amling** » March 18th, 2024, 5:19 am

amling wrote: ↑

March 17th, 2024, 11:26 pm

Sokwe wrote: ↑
March 17th, 2024, 5:07 pm
Some amount of branching seems like it must give a solution.

Sparker solved:

Code: Select all

x = 120, y = 55, rule = B3/S23
27b3o$27bo$28bo$30b2o$31bo2$28bo$25b4obo$25bo4bo$26bo4b2o$31b3o$28bo3b
2o$26b4ob3o$25b2obobobo$25bo12bo2b3o2b3o$26bo14b2o4bo$31b3o4bobo5bo$7b
2o33bo2bo$7bobo20b2o7b2obo3bobo$7bo22b3o7bo2b2o4bo$10bo21bo8bob2obo$
10b2o19b3o6b2obo$10b2o20bob2o5bo2bo2bo$9b2o20bo3b2o5bobo70bo$2o6b2o21b
o4bo4b2obo2bo26bobo37b2o$obo3b2o2bo21bo9bo3bo19b2o5b2o39bobo$o5b3o24b
2o8bo21b2o6bo2b2obo$3bo38b2o6b3o14bo2b2obo3bo2bo36b2o$3b2o26b2ob3o4b2o
7bo9bo8b2o7b3o34bo3bo$7bo23bo2bo2bo2bo2bo7bo6bo3bo3bo3bo7b2o30b3o2b2o
2bo$6bobo22b3o6bob2o9b2o2b2o3bob3o5bo6bo30bo3bo$7b2o3bo19bo6bo14bo7bo
4bo2b2o4b2ob2o27bobobo$7b2o3b2obo15b2o10b2o13b2o3bo2bo9bo7bo19bob2obo
2bo2bo$8bo3bo3bo12bob2o3bo4bo12b6o4b3o10bo5b2o5b2o10b3ob2obo4bo$13bo3b
o8bob2o6b2o2b3o7bo3bo28bobo3b2o10b2o2bo2bo$11b2o2bo6b6o2b4obo3bobo6b3o
4bo4bo4bo4b3o17b2o5b2obo3bo$10b2o3bo10bo16bo4bo2bob2o5bo9bo3bo12b4o6bo
$12bo2bo5b2ob2obobob2o8b2o5bo2b4obo6b2o7bob2ob4o4bobo2bo6bobo4b3o$14b
4ob2o2bo5bo3b9o5b2o3bo3bo6bobo2bobo2bo5bo2bob3obo4b2o3bo4b2obo$18bo28b
obo2b3o2bo5b2o3b2o2b2obo3bo2bo5b3ob2o2bo3bo$18b2o20bobo3bobobo3bo4bob
4o11b2o3b2ob2o7b4o3bo$30b2o4b3obo2bo2b2ob2o3bo3b2o2bo3bo3bobobob2obo3b
3o9bo$30b2o4bo2bo9b2o3bo3bo2b5obobobo5bobo3bo$36bo4b2obo2bo2bob3o6b2o
2bo3bobo4bobo$33b2o10bobo2bobo2b4o6b8o5bo9b3o$33b2o3b3o9bobo3b2obobo3b
o2bo6b3o3b2o5bo$47bo4bo7b2ob2o9b2o5b2o6bo$48b4ob2ob2obo3b2o3b3o5b4o11b
2o$51bo4bo2bob2o3bo9b2o5b2o7bo$43bobo5b2ob3o3b4obo12bo4bo2bo$44b2o5bo
2b2o3b2o4bo6b2o6bob2o2bo$44bo20bo5b2o5bo7bob4o$66bo6bo4b2o8b2obo$75b2o
$75b2o11b3o!

I solved the north side although it took quite a bit of juggling branches around. I also did some preliminary searches to try to produce the domino spark on the southwest. I have filled in the longest partial from the original 3c/12d engagement search as a placeholder. More likely I will want to try to dig through the various splits it dumped along the way. Anyway, as of now we're looking at:

Code: Select all

x = 144, y = 95, rule = B3/S23
54b2obo$54bo3bo36b3o$54bo4bo35bo$56b2o38bo$58bobo37b2o$99bo$60b2o$61bo
2bo31b2o$96b2o$60b2o2bo30bobo$60bo30b2ob2o$90b2ob2obo$56bo4b3o22b2o3bo
b2o$55b2o29bobo2bo2bo$55bobo2b2o24bo7bo$59b5o16bo10bo2bo$58bo5bo15bo7b
4obo$60bo3bo11b3obo7b2o$59bo13b2o4b2ob3obo$59b2obo4b2o4b2o3b3o5bo2bo$
60bo5b2obobo6b3o8bo$59b2o6bo2bo2b2o2bo$60b2o5b6o3bobo$61bo6bo2bo3bo2b
2o13b2o6b2o$62b2ob2o5bobo2b3o12b2o4b2obo$62b2obo11b2o14bobo2b2o$63bobo
11b2o14b3o2b2o$63bo23b2ob2ob3o$61b2obo17b2o3bob3o$60b2o20bobo2bo$62bob
o4b2obo9bo7bo2bo$64bo4bo3bo11bo4bo2bo$47b2o2bo13bo3bo4bo3b3o4b3o$46b2o
4bo10b2o5b3obo3bo2b2obo2bo$47bobo13b3o3bo5bo5b4o$42b2o2b5ob2o10bobo5b
4o2bo2bobo$41b2o2b3o5b2obo8b2obo7bo4bo$36b2o4bobob2o3b2o17b2ob4o$2b2o
32bobo3b2o2bo3b4o2b2o6bo5bo9bo$2bobo31bo6bob3o2bo6bo6bo3b2o3b7o$2bo36b
o6b2o15bo4bo6bo$5bo33b2o12b3ob2o4bo3b2o3b2obo$5b2o57bo6bob2o64bo$5b2o
49bo8bobo2bo27bobo37b2o$4b2o18b4o27bo34b2o5b2o39bobo$2ob2o15b2obo5bo
20b2o2bo11bobo20b2o6bo2b2obo$o4bo10b3ob3o6bo20bobobo2bo3b2o3bobo5b3o
14bo2b2obo3bo2bo36b2o$ob4o10bo11b3o19bo3bo5b2o3b2o7bo9bo8b2o7b3o34bo3b
o$4b2o11bo4bobobo4bo25bo4bob2obo7bo6bo3bo3bo3bo7b2o30b3o2b2o2bo$4b2o
10b2o3bo2b3o3bobo22b3o8b2o9b2o2b2o3bob3o5bo6bo30bo3bo$4b2o7b5o2b2o5bo
3b2o3bo19bo6bo14bo7bo4bo2b2o4b2ob2o27bobobo$6bo3bob2o3bo2b2o5bo3b2o3b
2obo15b2o10b2o13b2o3bo2bo9bo7bo19bob2obo2bo2bo$5b2o4bo2bo17bo3bo3bo12b
ob2o3bo4bo12b6o4b3o10bo5b2o5b2o10b3ob2obo4bo$5bo6bo24bo3bo8bob2o6b2o2b
3o7bo3bo28bobo3b2o10b2o2bo2bo$6bo28b2o2bo6b6o2b4obo3bobo6b3o4bo4bo4bo
4b3o17b2o5b2obo3bo$34b2o3bo10bo16bo4bo2bob2o5bo9bo3bo12b4o6bo$36bo2bo
5b2ob2obobob2o8b2o5bo2b4obo6b2o7bob2ob4o4bobo2bo6bobo4b3o$38b4ob2o2bo
5bo3b9o5b2o3bo3bo6bobo2bobo2bo5bo2bob3obo4b2o3bo4b2obo$42bo28bobo2b3o
2bo5b2o3b2o2b2obo3bo2bo5b3ob2o2bo3bo$42b2o20bobo3bobobo3bo4bob4o11b2o
3b2ob2o7b4o3bo$55bo4b3obo2bo2b2ob2o3bo3b2o2bo3bo3bobobob2obo3b3o9bo$
54b2o4bo2bo9b2o3bo3bo2b5obobobo5bobo3bo$53b2obo2b2o4b2obo2bo2bob3o6b2o
2bo3bobo4bobo$51b2o2bo13bobo2bobo2b4o6b8o5bo9b3o$48bo2b2obobo5b3o9bobo
3b2obobo3bo2bo6b3o3b2o5bo$47b2o4b2o16bo4bo7b2ob2o9b2o5b2o6bo$47bobo8b
2o12b4ob2ob2obo3b2o3b3o5b4o11b2o$48bo6b2ob3o14bo4bo2bob2o3bo9b2o5b2o7b
o$49bo9b3o5bobo5b2ob3o3b4obo12bo4bo2bo$47b2o8b2o9b2o5bo2b2o3b2o4bo6b2o
6bob2o2bo$48bo9b4o6bo20bo5b2o5bo7bob4o$56bo33bo6bo4b2o8b2obo$48b2o4bo
3bo3b2o35b2o$50bob2obo8bo34b2o11b3o$52b4o3b3obo$55bob2ob4o2b2o$48bob2o
4bo2bobo4b2o$47b5o4b2obob2o3bo$47bo5b2o2bob4o3b2o$49bo9bo2bo$48b3obo6b
3o$48bo11bo2bo$51b2o2b3o3bob2o$46b2o7bo3bobobo$46bo3bob2ob2ob2o2bo2b2o
$46bob3obo2bo$48b3obo2b2obo2b2obobo$47bob3o3b2o7bo2bo$47b2o2bo3bobo3bo
4bo$47bo3bob3obo3b2o2b2o$47bo3bob2o3b2o5bo$48bo5b2ob2o$50bobob2obo3b3o
bo$53bo4bo4bo2b2o$46b4obo2bo2bob2o2b2ob2o!

Which is feeling pretty close...

amling · Post by **amling** » March 18th, 2024, 1:29 pm

amling wrote: ↑

March 18th, 2024, 3:29 am

Sokwe wrote: ↑

March 17th, 2024, 7:30 pm

It should be possible to construct a p20 rake using this. We just need to solve a few somewhat difficult c/4d problems:

Code: Select all

x = 74, y = 85, rule = B3/S23
28b2o$28bobo$28bo$31bo$31b2o$31b2o$30b2o$26b2ob2o$26bo4bo$26bob4o$30b
2o$31bo$30b2o$26b4obo2bo$25b2obobobo$27bo4b3o27b2o$50b3o9bobo$32bo17bo
2b3o6bo9bo$7b3o41bobo16b2obo$7bo22b2o24bo4b2o2bo3b2o2bo$8bo21b2o22bo6b
2o2bob2o2bo$10b2o19bo24bob2obo3b5o$11bo23bo29b2o$32b2obobo19bo2b6o$8b
2o22b2obo2bo19b7o$3o5b2o25b3o22b3o$o6bobo22bob2o$bo4b2o26bo10b2o5b2o$
3b4obo23bo3bo7b2o6bobo4b3o$4b2o26b2obobo8bo5bo5bobo$8bo22bo5bo10b2o3bo
4b4o$7bobo38b4o3bo3bo$8b5obo18bo16b2ob3o$8bob3o2bo14b4o13b5o4bo$9bobo
3b2o11b2o2b5obo3bo4b3o$11bo3bob2o5b3o7bobo4bob4o$11bobobob2o4b4o4b8o2b
6o$11bob3obo3b2o6bo9b2o3bobo$19bo6bo2bo16bob2o$15bo2b2o8bo4bo9bo$15bo
7b2o$20bo15b5o$29b2o$22b3o3b4o5bo$22bo3b2o3bob2o2b2ob2o$25bo3bobo9b2o$
23bobo4bo7bo4bo$23bo3bo2bo8b2o2bo$23b3obob2o9b3o$15b3o3b2obob2o$15bo4b
obo3bob2o$16bo2bo2bo3b2o2bo7b2ob3o$19bo6bo11bob5o$20b2o3bobo10bo6b3obo
$15b2o2b2o14b2obo10bo$10bo3b2o19bo3bob2o3b2ob2o$9b2o4bob2o3b2o11bob2o
2b2o4b2o$9bobo3b3o4b2o16bobob2o5bo$16b2o5b2o17b2o3bo4b2o$12b2o3bo4bo
20bo4bo2b3o$13b2o7bo20bob6o3bo$13b2o2bo26bo4bo6bo$14bobo32bo6bo$10bo6b
2o28bo2b4ob2o$9b2o6b2o27bo6bob2o$9bobo2b4o28b3o6b2o$13b3o35b2o2bo$12bo
2bo32b2o2bo$16b2o32b2o$15b2obo31b2o$18bo$15bo$14bo2bo$14bo$10b2o2b2o$
10bo$10bo3bo$12bob2o$13b2obo$15bo$12b2ob2o$11b3ob2o2$10b2o$10bo!

My first crack at this did not solve but produced some fairly long partials. Unfortunately they're starting to hem that next branch west in rather badly...

I did solve the sparker, but it really, really hems in the left branch.

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 42, y = 62, rule = B3/S23
3$23b2ob3o$23bob5obo$14bo8bo7b2o$13b2o7b2o6b3o$13bobo3b2o2bo3bo$18b2o
5b2ob2o$16bo4bo4bob2o$15b8o$15bo2bo2b2obo2bo$9b2o6bo4bo3b2o$9bobo2bo2b
o4bo3bo$9bo3bo2bo5bo3bo$12b2o2bo4bo4b5o$13bobo6bobo2bo$7bo5bobobo3b3o
3b2o$6b2o6b3o3b2o5bo$6bobo5b2o3b2obo4bo$18bo3b2o3bo$9b2o3bo4bobob2obo$
10b2ob2o8b2o2bo$10b2o9b3o$11bo3bo3b2o2b4ob2o$10bo3bo3b2ob2obo$9b2obo5b
obobo$8bo4bo8bobob2o$8bo13b4o3b2o$6bobob3obo9b2o3bo$5b3obo2bobo10bo3bo
$5bo20bob3o$7bo4b2o15bo$5bo2bo16bob2o$7bo15b3ob2obo$2b4obo11b3obo2b2o$
2bo16bo8bo$3bobob2obo9bo4bo2b3o$8bobo14bob2o$7b2obo13b2o2bo$25bob3o$7b
2o20bo$6bob2o16b2ob2o$5b2o2bo16b2ob2o$5bobo$4bo19bo$5b2o14b4obo$21bo4b
o$22bo4b2o$24bo2b3o$28b2o$25b2ob2o$26bob2o$26bobo$27b2o!

amling · Post by **amling** » March 19th, 2024, 5:27 am

amling wrote: ↑

March 18th, 2024, 1:29 pm

Sokwe wrote: ↑

March 17th, 2024, 7:30 pm

It should be possible to construct a p20 rake using this. We just need to solve a few somewhat difficult c/4d problems:

Code: Select all

x = 74, y = 85, rule = B3/S23
28b2o$28bobo$28bo$31bo$31b2o$31b2o$30b2o$26b2ob2o$26bo4bo$26bob4o$30b
2o$31bo$30b2o$26b4obo2bo$25b2obobobo$27bo4b3o27b2o$50b3o9bobo$32bo17bo
2b3o6bo9bo$7b3o41bobo16b2obo$7bo22b2o24bo4b2o2bo3b2o2bo$8bo21b2o22bo6b
2o2bob2o2bo$10b2o19bo24bob2obo3b5o$11bo23bo29b2o$32b2obobo19bo2b6o$8b
2o22b2obo2bo19b7o$3o5b2o25b3o22b3o$o6bobo22bob2o$bo4b2o26bo10b2o5b2o$
3b4obo23bo3bo7b2o6bobo4b3o$4b2o26b2obobo8bo5bo5bobo$8bo22bo5bo10b2o3bo
4b4o$7bobo38b4o3bo3bo$8b5obo18bo16b2ob3o$8bob3o2bo14b4o13b5o4bo$9bobo
3b2o11b2o2b5obo3bo4b3o$11bo3bob2o5b3o7bobo4bob4o$11bobobob2o4b4o4b8o2b
6o$11bob3obo3b2o6bo9b2o3bobo$19bo6bo2bo16bob2o$15bo2b2o8bo4bo9bo$15bo
7b2o$20bo15b5o$29b2o$22b3o3b4o5bo$22bo3b2o3bob2o2b2ob2o$25bo3bobo9b2o$
23bobo4bo7bo4bo$23bo3bo2bo8b2o2bo$23b3obob2o9b3o$15b3o3b2obob2o$15bo4b
obo3bob2o$16bo2bo2bo3b2o2bo7b2ob3o$19bo6bo11bob5o$20b2o3bobo10bo6b3obo
$15b2o2b2o14b2obo10bo$10bo3b2o19bo3bob2o3b2ob2o$9b2o4bob2o3b2o11bob2o
2b2o4b2o$9bobo3b3o4b2o16bobob2o5bo$16b2o5b2o17b2o3bo4b2o$12b2o3bo4bo
20bo4bo2b3o$13b2o7bo20bob6o3bo$13b2o2bo26bo4bo6bo$14bobo32bo6bo$10bo6b
2o28bo2b4ob2o$9b2o6b2o27bo6bob2o$9bobo2b4o28b3o6b2o$13b3o35b2o2bo$12bo
2bo32b2o2bo$16b2o32b2o$15b2obo31b2o$18bo$15bo$14bo2bo$14bo$10b2o2b2o$
10bo$10bo3bo$12bob2o$13b2obo$15bo$12b2ob2o$11b3ob2o2$10b2o$10bo!

I did solve the sparker, but it really, really hems in the left branch.

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 42, y = 62, rule = B3/S23
3$23b2ob3o$23bob5obo$14bo8bo7b2o$13b2o7b2o6b3o$13bobo3b2o2bo3bo$18b2o
5b2ob2o$16bo4bo4bob2o$15b8o$15bo2bo2b2obo2bo$9b2o6bo4bo3b2o$9bobo2bo2b
o4bo3bo$9bo3bo2bo5bo3bo$12b2o2bo4bo4b5o$13bobo6bobo2bo$7bo5bobobo3b3o
3b2o$6b2o6b3o3b2o5bo$6bobo5b2o3b2obo4bo$18bo3b2o3bo$9b2o3bo4bobob2obo$
10b2ob2o8b2o2bo$10b2o9b3o$11bo3bo3b2o2b4ob2o$10bo3bo3b2ob2obo$9b2obo5b
obobo$8bo4bo8bobob2o$8bo13b4o3b2o$6bobob3obo9b2o3bo$5b3obo2bobo10bo3bo
$5bo20bob3o$7bo4b2o15bo$5bo2bo16bob2o$7bo15b3ob2obo$2b4obo11b3obo2b2o$
2bo16bo8bo$3bobob2obo9bo4bo2b3o$8bobo14bob2o$7b2obo13b2o2bo$25bob3o$7b
2o20bo$6bob2o16b2ob2o$5b2o2bo16b2ob2o$5bobo$4bo19bo$5b2o14b4obo$21bo4b
o$22bo4b2o$24bo2b3o$28b2o$25b2ob2o$26bob2o$26bobo$27b2o!

A less awful sparker, TBD solving the left side (original still doesn't work with this sparker):

Code: Select all

x = 74, y = 94, rule = B3/S23
28b2o$28bobo$28bo$31bo$31b2o$31b2o$30b2o$26b2ob2o$26bo4bo$26bob4o$30b
2o$31bo$30b2o$26b4obo2bo$25b2obobobo$27bo4b3o27b2o$50b3o9bobo$32bo17bo
2b3o6bo9bo$7b3o41bobo16b2obo$7bo22b2o24bo4b2o2bo3b2o2bo$8bo21b2o22bo6b
2o2bob2o2bo$10b2o19bo24bob2obo3b5o$11bo23bo29b2o$32b2obobo19bo2b6o$8b
2o22b2obo2bo19b7o$3o5b2o25b3o22b3o$o6bobo22bob2o$bo4b2o26bo10b2o5b2o$
3b4obo23bo3bo7b2o6bobo4b3o$4b2o26b2obobo8bo5bo5bobo$8bo22bo5bo10b2o3bo
4b4o$7bobo38b4o3bo3bo$8b5obo18bo16b2ob3o$8bob3o2bo14b4o13b5o4bo$9bobo
3b2o11b2o2b5obo3bo4b3o$11bo3bob2o5b3o7bobo4bob4o$11bobobob2o4b4o4b8o2b
6o$11bob3obo3b2o6bo9b2o3bobo$19bo6bo2bo16bob2o$15bo2b2o8bo4bo9bo$15bo
7b2o$20bo15b5o$29b2o$22b3o3b4o5bo$22bo3b2o3bob2o2b2ob2o$25bo3bobo9b2o$
23bobo4bo7bo4bo$23bo3bo2bo8b2o2bo$23b3obob2o9b3o$15b3o3b2obob2o$15bo4b
obo3bob2o$16bo2bo2bo3b2o2bo7b2ob3o10b2o$19bo6bo11bob5o9bobo$20b2o3bobo
10bo6b3obo4bo$15b2o2b2o14b2obo10bo7bo$10bo3b2o19bo3bob2o3b2obobo4bo$9b
2o4bob2o3b2o11bob2o2b2o4b2ob4o2bo2b2o$9bobo3b3o4b2o16bobob2o6b2ob2o4bo
$16b2o5b2o17b2o3bo8bobo$12b2o3bo4bo20bo5b3obob2obo$13b2o7bo19bo3bo2b2o
3bobo$13b2o2bo21b3obo5bo3b5o2bob3o$14bobo22bo5bo6bo3b3obo4b2o$10bo6b2o
21bo6b2o9bo2b6o$9b2o6b2o28b3o10bo3bo$9bobo2b4o30bo9bo5bo$13b3o24b3o2b
2o7b2obob2o4b2o$12bo2bo24bo4b3o5b2o10b2o$16b2o23bo3bo3b2o4bobo5bobo$
15b2obo28bobo13b3o$18bo24bobobo3bo6b3obo$15bo27bobobo12bo$14bo2bo25bo
2bo$14bo28bobo4bo10b2o$10b2o2b2o28bobo14b3o$10bo35bo$10bo3bo30b2obo12b
3o$12bob2o31b3o6b3o$13b2obo25b3o11bo2b2o3bo$15bo26bo14b3o3bo$12b2ob2o
28bo13b2o2bo$11b3ob2o25bo2bo$43bo19b3o$10b2o32bo14b2o3bo$10bo48bo3bo$
59bo4bo$61bobo$62bo$61bo$60bobo$60bobo$59bo$59b2o$59b2o!

Post by **Sokwe** » March 19th, 2024, 9:22 am

Alternate back edges to the recent c/4 diagonal puffer engine with slightly different sparks could give variant puffer engines that behave differently. Here are two related partial results, the first probably being easier to solve, but the second giving a more resilient engine:

Code: Select all

x = 168, y = 29, rule = B3/S23
67bo67b2o2bo$47b2o2bo10bo3b2o66b2o4bo$46b2o4bo10bo3b3o65bobo$47bobo12b
o67b2o2b5ob2o$42b2o2b5ob2o8b2ob2obo60b2o2b3o5b2obo$41b2o2b3o5b2obo5bo
61b2o4bobob2o3b2o$36b2o4bobob2o3b2o13bobo21b2o32bobo3b2o2bo3b4o2b2o9b
2o$2b2o32bobo3b2o2bo3b4o2b2o5bo3bo22bobo31bo6bob3o2bo6bo9b2o$2bobo31bo
6bob3o2bo6bo5bob3obo20bo36bo6b2o20bobo4b2o$2bo36bo6b2o16b2o27bo33b2o
12b3ob2o8bobobo2b4o$5bo33b2o12b3ob2o34b2o60bobo9bo$5b2o59b3o24b2o49bo
9bo4bob2obo2bo$5b2o49bo8b4o23b2o18b4o27bo9b2ob2obo2b2o3bo$4b2o18b4o27b
o8bo23b2ob2o15b2obo5bo20b2o2bo10b2o5bobo$2ob2o15b2obo5bo20b2o2bo8b2obo
21bo4bo10b3ob3o6bo20bobobo2bo8b2o2b3o$o4bo10b3ob3o6bo20bobobo2bo6b2o
22bob4o10bo11b3o19bo3bo13b3o2b2ob2o$ob4o10bo11b3o19bo3bo9b2o2b3o21b2o
11bo4bobobo4bo25bo2b3o3bo2b2o6bo$4b2o11bo4bobobo4bo25bo6b4o3bo20b2o10b
2o3bo2b3o3bobo22b3o2bo4bo4b3o$4b2o10b2o3bo2b3o3bobo22b3o5bob2o25b2o7b
5o2b2o5bo3b2o3bo19bo4bo3b4ob2o$4b2o7b5o2b2o5bo3b2o3bo19bo7bob2o2bo23bo
3bob2o3bo2b2o5bo3b2o3b2obo15b2o6bo2b2o3bo$6bo3bob2o3bo2b2o5bo3b2o3b2ob
o15b2o9bobo24b2o4bo2bo17bo3bo3bo12bob2o3bo3bob2obob2o$5b2o4bo2bo17bo3b
o3bo12bob2o3bo32bo6bo24bo3bo8bob2o6b2ob2o2bobobobo$5bo6bo24bo3bo8bob2o
6b2o2b2o3b3o22bo28b2o2bo6b6o2b4obo5bo6bo$6bo28b2o2bo6b6o2b4obo3bobo3b
3o50b2o3bo10bo16b2o$34b2o3bo10bo16bobo54bo2bo5b2ob2obobob2o9b2o$36bo2b
o5b2ob2obobob2o9b2o58b4ob2o2bo5bo3b9o$38b4ob2o2bo5bo3b9o64bo$42bo87b2o
$42b2o!

I don't know how interesting you consider my deluge of half-baked ideas. Hopefully you're only working on those that interest you without feeling any obligation to complete my partial results. I would run them through LLSSS myself, except I do not currently have access to the computer I would normally use, and my laptop has various issues that make it unfeasible for much beyond basic JLS searches.

amling · Post by **amling** » March 19th, 2024, 2:26 pm

Sokwe wrote: ↑

March 19th, 2024, 9:22 am

Alternate back edges to the recent c/4 diagonal puffer engine with slightly different sparks could give variant puffer engines that behave differently. Here are two related partial results, the first probably being easier to solve, but the second giving a more resilient engine:

Code: Select all

x = 168, y = 29, rule = B3/S23
67bo67b2o2bo$47b2o2bo10bo3b2o66b2o4bo$46b2o4bo10bo3b3o65bobo$47bobo12b
o67b2o2b5ob2o$42b2o2b5ob2o8b2ob2obo60b2o2b3o5b2obo$41b2o2b3o5b2obo5bo
61b2o4bobob2o3b2o$36b2o4bobob2o3b2o13bobo21b2o32bobo3b2o2bo3b4o2b2o9b
2o$2b2o32bobo3b2o2bo3b4o2b2o5bo3bo22bobo31bo6bob3o2bo6bo9b2o$2bobo31bo
6bob3o2bo6bo5bob3obo20bo36bo6b2o20bobo4b2o$2bo36bo6b2o16b2o27bo33b2o
12b3ob2o8bobobo2b4o$5bo33b2o12b3ob2o34b2o60bobo9bo$5b2o59b3o24b2o49bo
9bo4bob2obo2bo$5b2o49bo8b4o23b2o18b4o27bo9b2ob2obo2b2o3bo$4b2o18b4o27b
o8bo23b2ob2o15b2obo5bo20b2o2bo10b2o5bobo$2ob2o15b2obo5bo20b2o2bo8b2obo
21bo4bo10b3ob3o6bo20bobobo2bo8b2o2b3o$o4bo10b3ob3o6bo20bobobo2bo6b2o
22bob4o10bo11b3o19bo3bo13b3o2b2ob2o$ob4o10bo11b3o19bo3bo9b2o2b3o21b2o
11bo4bobobo4bo25bo2b3o3bo2b2o6bo$4b2o11bo4bobobo4bo25bo6b4o3bo20b2o10b
2o3bo2b3o3bobo22b3o2bo4bo4b3o$4b2o10b2o3bo2b3o3bobo22b3o5bob2o25b2o7b
5o2b2o5bo3b2o3bo19bo4bo3b4ob2o$4b2o7b5o2b2o5bo3b2o3bo19bo7bob2o2bo23bo
3bob2o3bo2b2o5bo3b2o3b2obo15b2o6bo2b2o3bo$6bo3bob2o3bo2b2o5bo3b2o3b2ob
o15b2o9bobo24b2o4bo2bo17bo3bo3bo12bob2o3bo3bob2obob2o$5b2o4bo2bo17bo3b
o3bo12bob2o3bo32bo6bo24bo3bo8bob2o6b2ob2o2bobobobo$5bo6bo24bo3bo8bob2o
6b2o2b2o3b3o22bo28b2o2bo6b6o2b4obo5bo6bo$6bo28b2o2bo6b6o2b4obo3bobo3b
3o50b2o3bo10bo16b2o$34b2o3bo10bo16bobo54bo2bo5b2ob2obobob2o9b2o$36bo2b
o5b2ob2obobob2o9b2o58b4ob2o2bo5bo3b9o$38b4ob2o2bo5bo3b9o64bo$42bo87b2o
$42b2o!

That is certainly a more resilient-seeming back with all that blank space. Weirdly however the puffer fuzzer hasn't found any stable orbits in about ten minutes. Of course it may yet find something and we may be able to spark something anyway so I will definitely look at solving one (the right-hand one seems viable enough so that one first).

Sokwe wrote: ↑
March 19th, 2024, 9:22 am
I don't know how interesting you consider my deluge of half-baked ideas. Hopefully you're only working on those that interest you without feeling any obligation to complete my partial results.

This sort of thing definitely falls well within my cone of interest, although it is quite difficult for me to estimate what sorts of partial completions will be useful. I recall very clearly being sure the p8 back rake was going to be just an idle curiosity and I am constantly amazed with what the community is able to extract from things.

Sokwe wrote: ↑
March 19th, 2024, 9:22 am
I would run them through LLSSS myself, except I do not currently have access to the computer I would normally use, and my laptop has various issues that make it unfeasible for much beyond basic JLS searches.

I am curious what holds it up. The greatest historical impediment to LLSSS search effectiveness has been memory limits but it's gotten a lot better with the one-bit-at-a-time changes and these days I am doing most of my human-guided solving with searches limited to 8 GB (I have other, longer, less-interactive searches running limited to 60 GB in the background). If it's (the perception of) memory limitations you might try seeing what you can do anyway.

ConwayLife.com

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