Here is a new 2c/5 ship found by using LLSSS to complete a partial result found with LSSS:
Code: Select all
x = 28, y = 17, rule = B3/S23
10bo6bo$9b3o4b3o$9bo2bo2bo2bo$10bob4obo$10bobo2bobo2$7b2obo6bob2o$7bo
2b2o4b2o2bo2$6bo3bo6bo3bo$2bo3b3o2b2o2b2o2b3o3bo$bobo20bobo$2ob2o18b2o
b2o$bo24bo$bo24bo$bo2bo18bo2bo$2bo22bo!
I was inspired by Sylvani's recent 2c/5 ships, so I tried a 2c/5 even-symmetric search using LSSS with margin 13 and seed column 3, which at some point gave the following partial result:
Code: Select all
x = 24, y = 26, rule = B3/S23
8bo6bo$7bobo4bobo$6b2ob2o2b2ob2o$6b2o2bo2bo2b2o$7b2ob4ob2o$6bo3bo2bo3b
o$6bo2bo4bo2bo$6bo10bo2$7bo8bo$3b2ob3o6b3ob2o$b2obo4bo4bo4bob2o$b2o4bo
8bo4b2o$bo6bo6bo6bo$3bo3b2o6b2o3bo$3bob4o6b4obo$3bo16bo$2b4o12b4o$2bo
3bo10bo3bo$b2ob2o12b2ob2o$4bo2bo8bo2bo$5b2o10b2o$bo20bo$b2o18b2o$2obo
16bob2o$obo18bobo!
I noticed that the front component was small and had a very simple connection, so I used LLSSS to extend just that small front component at a higher width and with recentering. I actually backed up over the simple connection enough to hopefully capture some other interesting partials. Ultimately, the ship it found didn't even use the connection that I was assuming it would.
Edit: adding a known tagalong-like component gives an 88-cell ship, which just barely makes into my small ships collection (90-cell limit):
Code: Select all
x = 28, y = 26, rule = B3/S23
10bo6bo$9b3o4b3o$9bo2bo2bo2bo$10bob4obo$10bobo2bobo2$7b2obo6bob2o$7bo
2b2o4b2o2bo2$6bo3bo6bo3bo$2bo3b3o2b2o2b2o2b3o3bo$bobo20bobo$2ob2o18b2o
b2o$bo24bo$bo24bo$bo2bo18bo2bo$2bo22bo$b3o2$4bo$4bo$b3o2bo$b2o4bo$7bo$
4bo2bo$5bo!
here is the shortest even-symmetric width-26 ship found by LSSS for seed-column 0:
Code: Select all
x = 26, y = 36, rule = B3/S23
11b4o$8b4o2b4o$7b3o6b3o$5b2o12b2o$4bo2b2o3b2o3b2o2bo$7bo2bo4bo2bo$9bo
6bo$4b2o3bo6bo3b2o$6b2obo6bob2o$8b3o4b3o$7b2obo4bob2o$3bo3b3o6b3o3bo$
2bob2o6b2o6b2obo$b2obo5b2o2b2o5bob2o$2bo4bo3bo2bo3bo4bo$2bo6b3o2b3o6bo
$2bo7bo4bo7bo$3bobob2o2b4o2b2obobo$9bo6bo$10bo4bo2$12b2o$10b2o2b2o$10b
2o2b2o$9bo6bo$8bo3b2o3bo$11bo2bo$7b2o8b2o$6bo3b2o2b2o3bo$2bo3bobob2o2b
2obobo3bo$bobo3b2o8b2o3bobo$2ob2o5b2o2b2o5b2ob2o$bo5bo3bo2bo3bo5bo$bo
22bo$bo2bo2b2obo4bob2o2bo2bo$2bo6bo6bo6bo!
here are some large 2c/5 ships that aren't notable on their own, but I found them while messing around with some LSSS partials using JLS and LLSSS:
Code: Select all
x = 135, y = 51, rule = B3/S23
7bo10bo34bo10bo43bo6bo$5b2ob2o6b2ob2o30b2ob2o6b2ob2o40bobo4bobo$8b2o6b
2o36b2o6b2o42b2ob2o2b2ob2o$5b3o10b3o30b3o10b3o39b2o2bo2bo2b2o$9b2o4b2o
38b2o4b2o44b2ob4ob2o$10bo4bo40bo4bo44bo3bo2bo3bo$5b3o10b3o30b3o10b3o
39bo2bo4bo2bo$2b3o2b2o8b2o2b3o24b3o2b2o8b2o2b3o32bo3bo10bo3bo$2bob2obo
2bo4bo2bob2obo24bob2obo2bo4bo2bob2obo31bobo16bobo$4bo16bo28bo16bo32b2o
b2o14b2ob2o$b3o4bobo4bobo4b3o22b3o4bobo4bobo4b3o30bobob2o10b2obobo$2bo
7bo4bo7bo24bo7bo4bo7bo31bobobobo8bobobobo$8bob6obo36bob6obo37bobobob2o
6b2obobobo$8bo2b4o2bo36bo2b4o2bo35bobobobo3bo4bo3bobobobo$b2o4bo2b6o2b
o4b2o22b2o4bo2b6o2bo4b2o27b2obobobo12bobobob2o$o2bo4bo8bo4bo2bo20bo2bo
4bo8bo4bo2bo26bo2bobobo12bobobo2bo$101bobobob2o6b2obobobo$obo20bobo20b
obo20bobo28bo2bobo2bo6bo2bobo2bo$6b3o8b3o34b3o4b3o36b2obob2o10b2obob2o
$5bo2bo8bo2bo32bo2bo4bo2bo34b3obobo12bobob3o$52bo2bo6bo2bo35bobob2o10b
2obobo$7bo10bo34bo10bo32bobo3bob2o10b2obo3bobo$7bob3o2b3obo35b2o6b2o
33bo3bobo16bobo3bo$5b2o12b2o33bobo4bobo33b5obo16bob5o$7bobo6bobo34b3o
6b3o32b2o5bo14bo5b2o$5bo3bo6bo3bo36bo2bo37b4o2bo14bo2b4o$5bobobo6bobob
o31bobo3b2o3bobo32bo4bo16bo4bo$52bo4bo2bo4bo32bob2o20b2obo$5b3o10b3o
32bob2o4b2obo29b2o2bo26bo2b2o$8b2o6b2o35b2o8b2o27b2o2b5o22b5o2b2o$5b2o
12b2o31bo12bo26b2o3bo28bo3b2o$52bo12bo27bob2o30b2obo$92b2ob2o30b2ob2o$
93bo36bo$90b2obobo32bobob2o$90b2obo2bo30bo2bob2o$90bob2o36b2obo$92b2o
2bo30bo2b2o$92bob2o32b2obo$90bo2bo36bo2bo$91b4obo30bob4o$93b2ob2o28b2o
b2o$96b2o28b2o$96b2o28b2o$91bo4b2o28b2o4bo$90b3o2bo32bo2b3o$89b2o2b2ob
2o28b2ob2o2b2o$90bo2bo36bo2bo$90bo42bo$90bo42bo$91b2o38b2o!
here is a new 88-cell 2c/5 ship capable of deleting blocks (based on a partial from LSSS and completed with LLSSS):
Code: Select all
x = 18, y = 31, rule = B3/S23
16b2o$16b2o$7bo$5b2ob2o$5b2o$7b3o$4b2o$4bo$7b3o$6b2o2b3o$4bo2bob2obo$
10bo$4bobo4b3o$6bo5bo$3bobo$3bo$2b4o6b2o$bo4bo4bo2bo$2ob4o$o4bo6bobo$
2o$o4bo$ob5o$2bo2b3o$3bob2ob2o$o3bo$7bo$2b2o3bo2bo$8bob2o2$10b2o!
I believe this is now the smallest known 2c/5 block deleter.
Edit 5 (Feb. 27): here is an 85-cell 2c/5 found by replacing one of the wings in Sylvani's new 64-cell ship using JLS:
Code: Select all
x = 26, y = 22, rule = B3/S23
12bo$11b3o$10bo3bo$10b2ob2o2$9bo5bo$2bo5bobo3bobo$2ob2o2bo3bobo3bo$3b
2o3bo2bobo2bo$9bobobobo5b3o$4b3o2bo5bo5bobo$b2o6bo5bo3bo3bo$2bo5bo7bo
5b2o$9bo5bo6bo$3bo18b3o$18b4o3bo$18b2o3bobo$20b2o2bo$20b2ob2o$23bo$20b
3o$20bo2bo!
here is the shortest even-symmetric width-26 ship found by LSSS for seed-column 12:
Code: Select all
x = 26, y = 21, rule = B3/S23
2bo20bo$2ob2o16b2ob2o$3b2o16b2o$2o3bo14bo3b2o$2b2obo14bob2o$3bobo2bo8b
o2bobo$2obobobob2o4b2obobobob2o$2obobobob2o4b2obobobob2o$3bobo2bo2bo2b
o2bo2bobo$5bo2bo8bo2bo$2o3bob2ob2o2b2ob2obo3b2o$5bob2obo4bob2obo$2b2o
3bo10bo3b2o$6bo12bo$4b2obo10bob2o$8bo8bo$4b3obo8bob3o$2b2o18b2o$2b2o
18b2o$2bob3o12b3obo$5b2o12b2o!
At width-26 with even symmetry, all seed-columns besides 0 and 12 gave either a known ship as the shortest solution or no ships at all. I did not explore beyond the first solution in any case, so there could be more smallish ships at this width, but probably not many.
