I'm interested in finding "thin" 2c/7 ships. A little over a year ago, Tim Coe found that nothing exists at search width 10 for odd symmetric or gutter symmetric searches. Unfortunately, this stretches the limits of what zfind is useful for. I double-checked the gutter result with zfind, which took about 18 hours. Here are all of the partial results:
I gathered together the partial results that looked most promising to me:
Code: Select all
x = 1401, y = 60, rule = B3/S23
4bo11bo17bo11bo18bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9b
o19bo9bo19bo9bo19bo9bo19bo9bo17bo13bo15bo13bo18bo7bo21bo7bo21bo7bo21bo
7bo21bo7bo21bo7bo21bo7bo22bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo
5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo18bo15bo13bo15bo13bo15bo13bo15bo
13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo$4bo
11bo16bobo9bobo17bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9b
o19bo9bo17b2o2bo5bo2b2o15b2o2bo5bo2b2o16bobo7bobo16bo13bo15bo13bo18bo
7bo21bo7bo21bo7bo21bo7bo21bo7bo20b2o7b2o19bob2o3b2obo21bo5bo23bo5bo23b
o5bo23bo5bo23bo5bo21b4o3b4o20bobo3bobo21bobo3bobo21bobo3bobo21bobo3bob
o21bobo3bobo21bobo3bobo16bo2bo11bo2bo12bo15bo13bo15bo13bo15bo13bo15bo
13bo15bo13bo15bo13bo15bo13bo15bo12bobo13bobo11bobo13bobo11bobo13bobo$
3bobo9bobo18bo7bo19bobo7bobo17bobo7bobo17bobo7bobo17bobo7bobo17bobo7bo
bo17bobo7bobo17bobo7bobo17bobo7bobo17bobo7bobo15b2o3bo5bo3b2o13b2o3bo
5bo3b2o18bo5bo18bobo11bobo13bobo11bobo16bobo5bobo19bobo5bobo19bobo5bob
o19bobo5bobo19bobo5bobo18bo2bo5bo2bo18bo2b2ob2o2bo20bobo3bobo21bobo3bo
bo21bobo3bobo21bobo3bobo21bobo3bobo51bob2ob2obo21bob2ob2obo21bob2ob2ob
o21bob2ob2obo18bo5bobo5bo21bobo19bo2bo11bo2bo11bobo13bobo11bobo13bobo
11bobo13bobo11bobo13bobo11bobo13bobo11bobo13bobo11bobo13bobo11bobo13bo
bo10b2obo13bob2o9b2obo13bob2o9bo19bo$4bo11bo15bo3b2o5b2o3bo16bo9bo19bo
9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo19bo9bo15bobo4bo3bo4bobo
11bobo4bo3bo4bobo13b2ob3o3b3ob2o15bo13bo15bo13bo18bo7bo21bo7bo21bo7bo
21bo7bo21bo7bo18bobo9bobo13b3o2bob2ob2obo2b3o17bo5bo23bo5bo23bo5bo23bo
5bo23bo5bo21bobo5bobo18b3ob2ob2ob3o17b3ob2ob2ob3o17bo4bobo4bo17bo4bobo
4bo16b2o4bobo4b2o16bo4bobo4bo15b2obo9bob2o13bo4bo5bo4bo13bo15bo13bo15b
o13bo15bo13bo15bo13bo15bo13bo15bo13bo4bo5bo4bo11b2ob3o9b3ob2o9b2ob3o9b
3ob2o10bo2bo11bo2bo$4bo11bo14bobo13bobo15bo9bo19bo9bo19bo9bo19bo9bo19b
o9bo19bo9bo19bo9bo19bo9bo19bo9bo19b3obobob3o19b3obobob3o15bo2bo2bobobo
bo2bo2bo13bo13bo15bo13bo18bo7bo21bo7bo21bo7bo21bo7bo21bo7bo18bobo9bobo
12b2o3bo9bo3b2o16bo5bo23bo5bo23bo5bo23bo5bo23bo5bo23bo5bo19b3o9b3o15b
3o9b3o16b3obo3bob3o17b3obo3bob3o15bo4bobobobo4bo13bobob2obobob2obobo
16bobo5bobo16bo3bobo3bobo3bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo
13bo15bo13bo3bobo3bobo3bo15b3o7b3o17b3o7b3o16b3o9b3o$3bo13bo16bo11bo
19bo7bo19bo11bo17bo11bo19b2o5b2o19b3o7b3o17b3o7b3o17b3o7b3o17b3o7b3o
47bo2bobobobo2bo17bo2bobobobo2bo13bob2o5bobo5b2obo41bo15bo16b3o5b3o81b
2o3b2o21b2o7b2o17bobo9bobo12b2o17b2o15b2o5b2o16bobo2b2o5b2o2bobo15b2o
7b2o20b3o3b3o46bo2bo2bobobobo2bo2bo13bob2o7b2obo15bob2o7b2obo15bo4bo3b
o4bo15bo4bo3bo4bo15bo3bobobobo3bo14b3obo2bobo2bob3o13b2o3b2o3b2o3b2o
14bo5bobo5bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15bo13bo15b2o4bobo
4b2o15b2obo7bob2o15b2obo7bob2o18bo7bo$33b2ob2o5b2ob2o49bo5bo18b4o9b4o
18bo5bo19b2ob2o5b2ob2o15b2ob2o5b2ob2o15b2ob2o5b2ob2o15b2ob2o5b2ob2o16b
obo7bobo17bo2bobobobo2bo18b5ob5o14bo2b2o4bobo4b2o2bo12b5o5b5o46b2ob2o
3b2ob2o18bobo5bobo16b5o7b5o19bo3bo22b3o5b3o16bob2o9b2obo12bo3bo9bo3bo
12bo3b2o5b2o3bo11bo2bo2b2o5b2o2bo2bo14bo9bo19b2ob2ob2ob2o20b3o3b3o16bo
2bo2bobobobo2bo2bo13bo2b2o5b2o2bo15bo2b2o5b2o2bo15b4obo3bob4o15b4obo3b
ob4o15b3obo5bob3o15bo2b2obobob2o2bo13bo6bo3bo6bo15bo3bobo3bo198b2o3bob
o3b2o15b2o2bo7bo2b2o13b2o2bo7bo2b2o15bobo7bobo$2b2o13b2o16bo9bo20b3o3b
3o18bob4o3b4obo17b2obo3bob2o19bo9bo18bobo7bobo17bobo7bobo17bobo7bobo
17bobo7bobo16bob2o7b2obo14b2obobobobobobob2o15b4o5b4o15bo5b2ob2o5bo13b
o3b3o3b3o3bo11b3ob2o9b2ob3o13bo3bo3bo3bo17bob2o5b2obo14b3o3bo5bo3b3o
18bo3bo24bo5bo18b3o11b3o15bo11bo14b3o4bo3bo4b3o11bo2bo3bo3bo3bo2bo14bo
bo7bobo18b2ob2ob2ob2o18b2o3bobo3b2o14bo2bo4bobo4bo2bo14bob2o5b2obo17bo
b2o5b2obo15bo5b2ob2o5bo13bo5b2ob2o5bo16b3o5b3o16bo3b2obobob2o3bo12bo6b
2ob2o6bo11b2o3b3o3b3o3b2o11b2obo11bob2o11b2obo11bob2o11b2obo11bob2o11b
2obo11bob2o11b2obo11bob2o13b3o9b3o15bo3bobobobo3bo14b2obo9bob2o13b2obo
9bob2o14b2o2bo5bo2b2o$37bo5bo23b3ob3o21bo3bobo3bo16b2obo2bo3bo2bob2o
15b2ob2o3b2ob2o16bo2bo7bo2bo15bo2bo7bo2bo15bo2bo7bo2bo15bo2bo7bo2bo14b
o3bo7bo3bo18bobobobo17b3o2bobo3bobo2b3o11bo7bobo7bo16bo7bo19b2o9b2o19b
2o5b2o18bo3bo5bo3bo15bo13bo16b2o9b2o14b3o13b3o12b2o3b2o3b2o3b2o13bobob
o7bobobo11bo2b2ob2o5b2ob2o2bo11b2o2bob2ob2obo2b2o17bo7bo17bo15bo15b2o
3bobo3b2o16bo4b2ob2o4bo15bo2bo7bo2bo15bo2bo7bo2bo14bo3bo7bo3bo13bo3bo
7bo3bo12bob3o3bobo3b3obo10bob3o3b2ob2o3b3obo11bo5bo3bo5bo17b3o3b3o19b
3o7b3o17b3o7b3o17b3o7b3o17b3o7b3o17b3o7b3o17b3o7b3o17bo2bobobobo2bo16b
o2bo7bo2bo15bo2bo7bo2bo17b3o5b3o$5b2o7b2o20bob2ob2obo20bo2b2ob2o2bo20b
4ob4o17b2o2bobo3bobo2b2o15b2obo5bob2o16b4obo3bob4o15b4obo3bob4o15b4obo
3bob4o15b4obo3bob4o14bo2bo9bo2bo13b2o3bobobobo3b2o12bobo3b2o3b2o3bobo
18b2ob2o20b2ob3o3b3ob2o13bob2o2bo5bo2b2obo12b2ob2o7b2ob2o14bo2bo7bo2bo
13b3ob2o7b2ob3o13b2obo7bob2o13bo2bob2o5b2obo2bo14bobob2ob2obobo15b3o3b
o3bo3b3o44bobob3ob3obobo17bo9bo15b2o3b2o5b2o3b2o44b3o7b3o16bo2bo7bo2bo
15bo2bo7bo2bo15bo4b2ob2o4bo15bo4b2ob2o4bo12bo4b5ob5o4bo10bo2b2o9b2o2bo
12bo3bo7bo3bo13b2ob2o7b2ob2o16b3o5b3o19b3o5b3o19b3o5b3o19b3o5b3o19b3o
5b3o16bo2b2o7b2o2bo14bobobobobobobobo15bo2bo7bo2bo15bo2bo7bo2bo17bo9bo
$4b2obo5bob2o22bobo23bo9bo16bo3bobo3bobo3bo12b3o13b3o18bo3bo21bob2obob
ob2obo17bob2obobob2obo17bob2obobob2obo17bob2obobob2obo15bo15bo13bo4bob
obobo4bo14bo5bobo5bo14bob2o9b2obo13b2o3bo5bo3b2o13bo2b2ob2ob2ob2o2bo
13b2ob2ob2ob2ob2ob2o14bo13bo14bo3b2o5b2o3bo13bobobo7bobobo13b3ob2o5b2o
b3o16b2o7b2o16b2o3b3ob3o3b2o18bo5bo25bobo26bo3bo17b2o6bo3bo6b2o11bob6o
b6obo15bo2bo5bo2bo16bo2b2o5b2o2bo15bo2b2o5b2o2bo19b3ob3o23b3ob3o17bo2b
obo7bobo2bo14bob2o5b2obo16bo2bo7bo2bo14bo15bo19b2ob2o25b2ob2o25b2ob2o
25b2ob2o25b2ob2o19bo15bo13bob4obobob4obo13b2o2bo7bo2b2o13b2o2bo7bo2b2o
16bo2bo3bo2bo$6bobo3bobo20bo3bobo3bo18bo4bobo4bo13b3o5bo3bo5b3o10bo2bo
3b2ob2o3bo2bo14b3obo3bob3o17bo2bobobobo2bo17bo2bobobobo2bo17bo2bobobob
o2bo17bo2bobobobo2bo13b4obo9bob4o10b2ob2obobobobob2ob2o16bobo3bobo18bo
bo9bobo13bobo3bo5bo3bobo15b3obobob3o15bo3bo9bo3bo11b4obo7bob4o12bo3bob
o3bobo3bo12b2ob2o9b2ob2o13b2o11b2o17bob2o3b2obo19b3obobob3o18b2obo5bob
2o48b2obo3bob2o17bo5bobo5bo13bobobo9bobobo12bob2ob2o3b2ob2obo12bob2ob
2o5b2ob2obo11bob2ob2o5b2ob2obo13b6o3b6o15b6o3b6o19b3ob3o19bo13bo14bo3b
2o5b2o3bo13bo3bo7bo3bo20bobo27bobo27bobo27bobo27bobo19bo4bo7bo4bo17bob
obobo18b2ob2obo3bob2ob2o13b2ob2obo3bob2ob2o12b2obo11bob2o$6b2obobob2o
18bobob2o3b2obobo16bob3o3b3obo16bo2b3o3b3o2bo18b2obobob2o19b3o2bobo2b
3o15bobo3b2ob2o3bobo13bobo3b2ob2o3bobo13bobo3b2ob2o3bobo13bobo3b2ob2o
3bobo11b2obobo9bobob2o12bo2b2obobob2o2bo16bobobo3bobobo15bo2bo9bo2bo
14bo13bo15bob2o7b2obo12bo4bo3bobo3bo4bo10b2obobo7bobob2o16bo7bo16bo2b
4o5b4o2bo15bo2bo3bo2bo16b2obob2o3b2obob2o13bo15bo14bo2bobo3bobo2bo13b
2ob3o7b3ob2o14b5o3b5o16b2o4bobo4b2o13bobo4bo3bo4bobo11b3obob2o3b2obob
3o10bo3bo11bo3bo9bo3bo11bo3bo11bo3b2o5b2o3bo13bo3b2o5b2o3bo12bobo3bo5b
o3bobo13b4o7b4o19bo5bo19b2obo7bob2o14b2o3bobobobo3b2o13b2o3bobobobo3b
2o13b2o3bobobobo3b2o13b2o5bobo5b2o15bobo2bobo2bobo14bob3o9b3obo15bo2bo
3bo2bo19bo3bobo3bo19bo3bobo3bo15b2o4bo5bo4b2o$5bo2b2ob2o2bo16b2obob2o
3b2obob2o14b2o11b2o19b2o3b2o23b3ob3o20b3obo3bob3o16bobo9bobo15bobo9bob
o15bobo9bobo15bobo9bobo14b2o13b2o16bobobobobobo14bo3b2obo5bob2o3bo10bo
b3o9b3obo12bobo11bobo13bo5b2ob2o5bo12bo4b2obobob2o4bo13b2o11b2o17bobo
5bobo15bo4b3o3b3o4bo14bo11bo15b2o3b2o3b2o3b2o13bob3o7b3obo13bob2ob2o3b
2ob2obo11b2o3bo9bo3b2o11bob2obo5bob2obo14bo5bobo5bo12b2o2bo11bo2b2o11b
o3bobo3bobo3bo11bo3b2o9b2o3bo9bo3b2o9b2o3bo70bobo4bo3bo4bobo12bo3b2o5b
2o3bo14b4o7b4o44bobo2bobobobo2bobo13bo4bobobobo4bo13bo4bobobobo4bo13bo
bo2bobobobo2bobo15bo2bobobobo2bo13b2o17b2o13b2o9b2o17b2o3bobo3b2o17b2o
3bobo3b2o13bo3bo3bo3bo3bo3bo$2bobob3o3b3obobo12bo3b3o5b3o3bo13b2o2bo5b
o2b2o12b2o17b2o11bo5bo3bo5bo17bo7bo18b3o2bo3bo2b3o15b3o2bo3bo2b3o15b3o
2bo3bo2b3o15b3o2bo3bo2b3o16bo11bo16bo2b2obobob2o2bo14bo15bo11b3ob3o7b
3ob3o12b2ob2o5b2ob2o19bobobobo18b4o2bo3bo2b4o16bo9bo16b2ob2o7b2ob2o12b
o7bobo7bo17b2o3b2o19bobo9bobo16bob2obobob2obo15bo3bo2bobo2bo3bo11b2obo
3bo5bo3bob2o9b2obobob2o3b2obobob2o10bo3bo3bobo3bo3bo14bo11bo15bo3bobo
3bobo3bo73bo15bo15bo11bo14bobo3b3ob3o3bobo12b2obo9bob2o14bo2bo7bo2bo
43bo2bo3bo3bo3bo2bo12bobo3bo3bo3bobo13bobo3bo3bo3bobo12bo4bob2ob2obo4b
o13b2o2bobobobo2b2o12b2o2bobo7bobo2b2o11b2o13b2o44bo13bo16bob3o3b3obo$
bo2bo11bo2bo11bo3b3o5b3o3bo12b2o2b3o3b3o2b2o13b4o9b4o17bo7bo19bob3o3b
3obo18b4o3b4o19b4o3b4o19b4o3b4o19b4o3b4o16bo2bo9bo2bo13bo3bob2ob2obo3b
o15b2o9b2o14bo2bo2bo5bo2bo2bo16bobo3bobo21b3o3b3o23bo3bo20bo2bo7bo2bo
13bobo3bo5bo3bobo12b2o2b2obobob2o2b2o14b3o2bo3bo2b3o43b2obo3b2ob2o3bob
2o11b2o2b5ob5o2b2o14b2obo5bob2o15bo2bo9bo2bo12bo2b2o3bobo3b2o2bo45bo9b
o14bo5bo7bo5bo10bo4bo7bo4bo12bobobo7bobobo14bobo9bobo15bo2b4ob4o2bo12b
2o2b5o3b5o2b2o11bo3bo7bo3bo13b3o11b3o12bo3bo9bo3bo12bobo11bobo13bobo
11bobo12bo4bob2ob2obo4bo13bob2o2bobo2b2obo13bobo2b3o3b3o2bobo11bo2bo2b
o5bo2bo2bo13bo5bobo5bo46b2o3bobo3b2o$o5bo7bo5bo16bo5bo19bobob2o3b2obob
o16bo11bo14b3o3bo5bo3b3o14bo4bobo4bo21bo3bo25bo3bo25bo3bo25bo3bo19b3o
11b3o20bobo21b2obo7bob2o12b2o2bo11bo2b2o12b2obob2ob2obob2o18b3o3b3o46b
2ob2o9b2ob2o11bo2b2obo5bob2o2bo11bo2bo2bobobobo2bo2bo12b3o3b2ob2o3b3o
12bobob2obo3bob2obobo11b4o3b2ob2o3b4o12bob2o3bobo3b2obo14b5o5b5o16bo4b
obo4bo21b2ob2o18b3o2b2o5b2o2b3o10b2o3bo3bobo3bo3b2o10b2o3bo7bo3b2o12bo
4b2o3b2o4bo12b4obo7bob4o12bob5o3b5obo14bo5bobo5bo12b4ob3obobob3ob4o9b
4o3bo5bo3b4o11b3o11b3o13bo2bo9bo2bo13bo2bo9bo2bo13bo2bo9bo2bo13b2ob3o
5b3ob2o16bo3bobo3bo16b2o4b2ob2o4b2o12bo2bo3bo3bo3bo2bo17b3ob3o18bo2bob
o5bobo2bo16bo3bobo3bo$bo4bo7bo4bo15bobo5bobo16b2obo9bob2o16bo2b2ob2o2b
o15b6o7b6o13b2o4bobo4b2o45bo13bo78b3o3b3o20bobobobobobo18b2o3bobo3b2o
21bo3bo20bobo9bobo47b3o5b3o14bobob2o9b2obobo9b3o2bobo5bobo2b3o10bo2b2o
3bobo3b2o2bo11b2o6bobo6b2o12b3obob2ob2obob3o14bo4b2ob2o4bo18bob2ob2obo
17b2o3b3ob3o3b2o15b2o3bobo3b2o16b2o3b2ob2o3b2o18b2o5b2o16b2ob2o3bobo3b
2ob2o12bo3bo7bo3bo14b2ob3o3b3ob2o12bo5b2o5b2o5bo10bo2bo11bo2bo17b2o3b
2o17bo2bo11bo2bo10bo2bob2o7b2obo2bo10bo3bo9bo3bo12bob2o2b2ob2o2b2obo
16bo9bo19bo9bo53bobo21bo3bo5bo3bo14bobo3b2ob2o3bobo15b2obobobobob2o15b
3ob3o3b3ob3o14bo13bo$5b2o7b2o16b7o3b7o12bo3bo2bo3bo2bo3bo19bobo23bo9bo
16b3ob2obobob2ob3o15b2o9b2o15bobo11bobo15bo11bo18bo9bo18b3ob2ob2ob3o
15b2obobobobobobob2o14bo4b2ob2o4bo17b2ob2ob2ob2o16b2o2bob2ob2obo2b2o
15bobo7bobo43bob2o13b2obo10b2o2bo9bo2b2o12b2o2b2obobob2o2b2o14b2o2bo5b
o2b2o14b5obo3bob5o12bo4bobo3bobo4bo12bo2bo3bobo3bo2bo12bo3b2o7b2o3bo
13b2ob3o3b3ob2o15bo3bobobobo3bo13b2o2bo9bo2b2o13b3ob2o3b2ob3o15bo2bo7b
o2bo17bobobobobobo14bo3bob2o5b2obo3bo12b2obobo3bobob2o15bobobo5bobobo
14bobo3bo3bo3bobo12bo3bo2bo3bo2bo3bo13b3o9b3o15bob2ob2ob2ob2obo13bo17b
o11bo17bo44bo2bobobobo2bo18bob3ob3obo22bo3bo23b2obobob2o17bo15bo13bo2b
o9bo2bo$2b2obo9bob2o12bo2bo2b2o3b2o2bo2bo11bobo3bo5bo3bobo13bob2o7b2ob
o17bo2b2ob2o2bo15bo3bo9bo3bo14b2o9b2o14b2ob2o9b2ob2o14b2o9b2o17b2o9b2o
16bo2bob2ob2obo2bo15bo3bobobobo3bo16bo4bobo4bo18b2obo3bob2o16b2o5bobo
5b2o14bo3bo5bo3bo19bo5bo47b3ob2o7b2ob3o13b2o2bobobobo2b2o15bob3o5b3obo
15bo4b2ob2o4bo18bobo3bobo16bob2obob2ob2obob2obo13bo2bo7bo2bo15b2o2b2o
3b2o2b2o16bo2bobobobo2bo17bob3o3b3obo78b2o2bobo2b2o15bo7bobo7bo17bo5bo
23b2o3b2o51b3o5b3o16b5o7b5o14bo2bo7bo2bo14b2obobo5bobob2o13b2obobo5bob
ob2o15b3obo3bob3o17bo2bobobobo2bo20b2o3b2o21b3o5b3o20b2obobob2o15b2o4b
2o5b2o4b2o10bo3b2o7b2o3bo$2bobo2bo5bo2bobo11b2o2bob2o5b2obo2b2o11b4obo
5bob4o14b4obo3bob4o17bo2bo3bo2bo15bo2b2o3bobo3b2o2bo15bo9bo14b2obo13bo
b2o12bob2o7b2obo45b2obo2bobo2bob2o15bobo2bo3bo2bobo16b2o2b2ob2o2b2o19b
2o5b2o17b2o3b2o3b2o3b2o14bo13bo15b3ob2o3b2ob3o14bobob2o5b2obobo13b2ob
2o7b2ob2o15bob2obobob2obo15bo4bobobobo4bo14b2o11b2o16bo3bo3bo3bo15b2o
4b2ob2o4b2o14b2obo7bob2o19bo5bo22bob2ob2obo19bobobo3bobobo46b2ob2o5b2o
b2o13b2ob3o2bobo2b3ob2o12b2o5bobo5b2o44b3obobobobob3o12b2obo4b2ob2o4bo
b2o17bo3bo17b2o17b2o10b3o2bobo3bobo2b3o15bobo5bobo19bobo5bobo19bo2bo3b
o2bo17bo2bobo3bobo2bo15bobo9bobo17bo9bo20bo2bobo2bo17bo2b3o5b3o2bo12bo
3bo3bobo3bo3bo$2o3bo9bo3b2o10bob2ob2o5b2ob2obo13b3obo5bob3o14bobo11bob
o13b2obobo5bobob2o13bo6bobo6bo13bo4bo5bo4bo13bo15bo15bobo7bobo17bob3o
3b3obo19bobo3bobo18bob2o7b2obo19bobobobo21bo9bo21bo5bo19bo13bo15b2obob
o3bobob2o12b4obob2o3b2obob4o11b2o13b2o14bo4b2ob2o4bo13bo4b2obobob2o4bo
12bob2o9b2obo14b2ob2o5b2ob2o15bo3bo5bo3bo17bo2b2ob2o2bo17b4ob2ob2ob4o
15b2obo7bob2o15b3o9b3o46bo3bo3bo3bo20bobobobo18b2o2bo2bobo2bo2b2o12b3o
3bobobobo3b3o13bo5bobo5bo15b2o4bobo4b2o15bo2b4ob4o2bo12b2o4bobo3bobo4b
2o10b4o11b4o15bobo5bobo19bobo5bobo16bob4obobob4obo14bo2bo7bo2bo14b3o
11b3o14b2o2b3ob3o2b2o15b3o2bo3bo2b3o15bo13bo14bo3bob2ob2obo3bo$bo17bo
11bo5bo5bo5bo18bo3bo18b5o9b5o11bob2o2b2o3b2o2b2obo13bo2bobo3bobo2bo13b
2o3bo2bobo2bo3b2o10b3o15b3o17bo3bo21b2ob2o3b2ob2o14b2o5bo3bo5b2o13bo3b
o5bo3bo14b3o3b2ob2o3b3o14b2o2b3ob3o2b2o16bo2bo5bo2bo16b2o11b2o15b2o2bo
5bo2b2o13b4ob3o3b3ob4o13b2o11b2o14bo15bo13bobob3o3b3obobo13bo3bobo3bob
o3bo13bobo11bobo14bo13bo15b2obob2ob2obob2o14b3ob4ob4ob3o13b5o7b5o14bo
3bo5bo3bo47b4o3b4o16bo2bo2b2ob2o2bo2bo14bo3bo5bo3bo13bobo3bobobobo3bob
o12b3o11b3o11bo3b3ob2ob2ob3o3bo11b3o3bo3bo3b3o13bo3bobo3bobo3bo12b2o2b
obo5bobo2b2o15b2o7b2o19b2o7b2o15bo3bob2o3b2obo3bo13bo3bo5bo3bo17bo9bo
15bob3o3bobo3b3obo12bobobo7bobobo15bo2bo5bo2bo21b2ob2o$bo3b2o7b2o3bo
11b3obo9bob3o14b2o9b2o18b2o7b2o14bo2b3obo5bob3o2bo13bo11bo13bo4bo9bo4b
o45b2o5b2o16b2ob2o3bobo3b2ob2o10bo3bo11bo3bo14b4o3b4o16b7o3b7o13bo4b3o
b3o4bo16b3o5b3o19bo9bo16b3o11b3o12b2o15b2o14b4o5b4o14b3o2bob2ob2obo2b
3o14bo11bo15b2o3b2o3b2o3b2o12bo2bobobo3bobobo2bo12bo2b2o7b2o2bo12b4ob
2o5b2ob4o11bo7bobo7bo11b2o15b2o13bo2b4ob4o2bo43b4o3bo3bo3b4o11b2ob3o2b
obo2b3ob2o13bo2b2o5b2o2bo15bo2bo7bo2bo14bo2bo2bo3bo2bo2bo13b5o2bobo2b
5o16b2o7b2o16bo3bobo3bobo3bo16bobo5bobo18bo2bo5bo2bo17bo2bo5bo2bo14bo
2b2obo5bob2o2bo14bob3o3b3obo18b2ob2ob2ob2o14b2obo3b2o3b2o3bob2o11bo15b
o14bo3bo5bo3bo14b2o13b2o$5b2o7b2o16bobob2o5b2obobo14b3o9b3o15bo3bo5bo
3bo13bo2bo11bo2bo14b2o2bo3bo2b2o13b5ob2o5b2ob5o11bo15bo41bo3bo3b2ob2o
3bo3bo9b2ob2o3b2ob2o3b2ob2o17bo3bo18bobo4bo3bo4bobo11bo4b2o5b2o4bo13bo
2b2o5b2o2bo19b3ob3o18bo4b2o3b2o4bo13b4o9b4o17bo2bobo2bo17bobobo7bobobo
18b2o3b2o18b2obo9bob2o13bobobob2ob2obobobo16bob3ob3obo21bobobobo16bobo
b2o9b2obobo16bo5bo16b2obo3b3ob3o3bob2o39bob2o4b2ob2o4b2obo10bo6bo3bo6b
o14bo3b2ob2o3bo15b2ob2o7b2ob2o12bo2b2ob2o3b2ob2o2bo11b2ob2o3bobo3b2ob
2o11bobob4o3b4obobo10bo2b2o2bo5bo2b2o2bo43bobo7bobo17bobo7bobo13b2ob3o
9b3ob2o14b2o2bobo2b2o22bo3bo17b2obo3bo5bo3bob2o12b2obo7bob2o15b2o11b2o
13bo3bobo5bobo3bo$6bo2bobo2bo16bo3b2o2bobo2b2o3bo12bo2bo9bo2bo13b2o3b
2o3b2o3b2o12b2o3bo7bo3b2o12b2obo3bobo3bob2o13b3ob2o5b2ob3o13b3o11b3o
16bo9bo15bo3bo2b2ob2o2bo3bo12b3o3b2ob2o3b3o14bo2bobo3bobo2bo14bo15bo
12b2o2b3o5b3o2b2o13b2ob3o3b3ob2o17bo9bo15bo4b3o3b3o4bo13bo3b2o3b2o3bo
19bo5bo20bob4ob4obo15b2o3b2o3b2o3b2o11b2o3bob2o3b2obo3b2o14bo3bobo3bo
19b3obobob3o21bobobobo16bobobobo7bobobobo10bo3b2obo3bob2o3bo10b2o17b2o
39bo4bo9bo4bo10b3o4bo3bo4b3o13b7ob7o14bo3b2o5b2o3bo11b2o5bobobobo5b2o
13b2o2b2ob2o2b2o17bo11bo14bobo13bobo13b5o5b5o16bo2bo5bo2bo17bobo7bobo
13b2obobo9bobob2o13b3obo3bob3o15bobo3bo3bo3bobo14bob2o7b2obo15b2ob2o5b
2ob2o15b2o2bo5bo2b2o$4bobob2ob2obobo14bo2b3o2bobo2b3o2bo11bo4bobo3bobo
4bo11b2o5b2ob2o5b2o12bobo11bobo14bo5bobo5bo17bo3bobo3bo15bo3bo9bo3bo
14bob2o5b2obo14bo2b3obo3bob3o2bo14b2obo5bob2o16b3obo5bob3o15bob4o3b4ob
o13b3ob2obo3bob2ob3o13b2obob2ob2obob2o15b2obo7bob2o13b3o13b3o14b3ob2ob
2ob3o15bo15bo13bobo11bobo13bo15bo11b5o4bobo4b5o12bo4b2ob2o4bo17bo2b2ob
2o2bo16b3o4bobo4b3o12bo3b3o5b3o3bo10b3ob2ob2o3b2ob2ob3o10b2o5bo3bo5b2o
42bo15bo11b2obo13bob2o16bo5bo20b3o7b3o17bob2o5b2obo18b2o2bobo2b2o14b2o
3b2ob2ob2ob2o3b2o13b4o5b4o19b2o5b2o20b2o7b2o47b2o11b2o15bobob2o3b2obob
o16bo2b2o3b2o2bo16bobo9bobo15bo3b2o3b2o3bo12bo6bo5bo6bo$2bo3b2obobob2o
3bo12b2obo11bob2o13bobob2o3b2obobo13bo4bo7bo4bo16bo2bobo2bo18b4o2bobo
2b4o14b2obo9bob2o13b2o3bo5bo3b2o15bo2b2o3b2o2bo17b2o2bo3bo2b2o13b2o4bo
bo3bobo4b2o11b2ob2o7b2ob2o12bob2obobo3bobob2obo13bo2bo2bobo2bo2bo14bo
3bo7bo3bo13bo2bobo5bobo2bo14bo2b3o3b3o2bo16b2o2bo3bo2b2o13b2ob3ob3ob3o
b3ob2o11b2o4b2ob2o4b2o13bo15bo43bobo11bobo15b4o5b4o45bo4b2o3b2o4bo11b
4o3bo5bo3b4o11b3o3bo3bo3b3o42b2o3b3o3b3o3b2o10b2ob4o7b4ob2o11bobobo7bo
bobo11bo3b2ob2o3b2ob2o3bo100bobobo9bobobo12bo3b2o5b2o3bo16bo9bo17b3o9b
3o45bo2b2o5b2o2bo18bo7bo18b2ob2o5b2ob2o16bo2bo5bo2bo14b3o13b3o$2bo2bo
2b2ob2o2bo2bo43bo2bo3bobo3bo2bo48bobobobo19b2obob2ob2obob2o13b2o6bobo
6b2o13bo3bo5bo3bo16b3obo3bob3o15bo4b2o3b2o4bo11bo2b2o3bo3bo3b2o2bo16bo
5bo17b2ob6ob6ob2o16b2obobob2o18bo5bobo5bo18b2obobob2o15bobo2bo9bo2bobo
14bobobobobobo15bo2b2o9b2o2bo18b2ob2o18b8o3b8o41bob2obo2bobo2bob2obo
14bo11bo46bo4b2ob2o4bo46b2o3bobo3b2o44b2o5bo3bo5b2o16b2o5b2o16b4obo7bo
b4o12bo2b2ob2ob2ob2o2bo102bo2b2o9b2o2bo10b3o3b2o5b2o3b3o13bobo7bobo16b
2obo7bob2o14b3o11b3o14b2o2b3ob3o2b2o13bob2obob2ob2obob2obo13bobob2o3b
2obobo14bob2ob2o3b2ob2obo11b2obob2o7b2obob2o$2b3o2b2o3b2o2b3o45b3obo3b
ob3o46b3o9b3o15b3o9b3o15bob2obo3bob2obo15bo4bo3bo4bo45bo13bo44bo4b2o3b
2o4bo17bo7bo15bo3b2o3bobo3b2o3bo11bo6bobo6bo17bobo3bobo47b2obo2bo3bo2b
ob2o15bob2o5b2obo14b2o2b4o3b4o2b2o12bobo2bobobobo2bobo42bo4b3o3b3o4bo
10b5o3bo3bo3b5o99b3o2b2ob2ob2ob2o2b3o39b2obo4bo3bo4bob2o9b2o4bob2ob2ob
o4b2o14b2o7b2o15bo3bo3bobo3bo3bo101bob2o2bobobobo2b2obo12bo4bobobobo4b
o15bo3bo3bo3bo18b2o7b2o16bob5o3b5obo14b2o11b2o12bo3bobo7bobo3bo10b2ob
2o3bobo3b2ob2o12bo3b2o5b2o3bo11b2o17b2o$123b3o2b2ob2o2b3o15b2o11b2o15b
ob2obo3bob2obo15bobob2o3b2obobo15b3o9b3o13bo6bo3bo6bo41b2o4b2o3b2o4b2o
11b2o3b2o5b2o3b2o11bo6b2ob2o6bo11b2o6bobo6b2o12b2obobo5bobob2o43b2o3b
3ob3o3b2o12b4o2b2o3b2o2b4o11b4o2bo5bo2b4o10bo8bobo8bo73b3o2bobo2b3o
193b3obobo7bobob3o10bob3o9b3obo11b3obo9bob3o133b2obo7bob2o20b2ob2o22bo
9bo16bob3ob2ob2ob3obo14bo4b2ob2o4bo20bo3bo22bobo5bobo15bobo13bobo12bo
15bo$127bo5bo20b3o7b3o16bo2bo7bo2bo18bo7bo17bo15bo13bob2o2bo3bo2b2obo
44b2o2b2o3b2o2b2o42b3o5b2ob2o5b3o10bob2o2b2o3b2o2b2obo15bo9bo47bo13bo
45bobo9bobo15bobo3bobo3bobo72b2o2b5o3b5o2b2o190bo17bo14b3o7b3o14bobobo
2bo3bo2bobobo131bo4b2o5b2o4bo13b2obo7bob2o15bo3bo5bo3bo15b2obob2ob2obo
b2o14bo2bo2bo3bo2bo2bo48bo5bo17bo4bo7bo4bo10bo3b3o7b3o3bo$64bo2bo5bo2b
o46b2o11b2o19bo5bo18b2obo3bobo3bob2o13bobo11bobo13b5o2bobo2b5o18bo5bo
49b2o11b2o42bo5bo7bo5bo14bob2o3b2obo16bo2bo9bo2bo44b2obob2ob2obob2o
162b2o6bo3bo6b2o191b2o2bo7bo2b2o12bo5bo5bo5bo11bo2b4obobob4o2bo131bo3b
2o2bobo2b2o3bo16bobo3bobo19bo2bo5bo2bo17bob2o5b2obo15bob2o2bo3bo2b2obo
71b3o5b2ob2o5b3o9bobob2ob2o3b2ob2obobo$63b2o2b2o3b2o2b2o44b2obobo5bobo
b2o12b3o4bo3bo4b3o13bobo2bo3bo2bobo18bo7bo19bo3b2ob2o3bo17bobo7bobo46b
o2bobo3bobo2bo73b2ob2obo5bob2ob2o12bobo11bobo42b2o3bo2bobo2bo3b2o372bo
5b2ob2o5bo11bobobob2o5b2obobobo159b2ob3ob3ob3ob3ob2o11b2ob2obo3bob2ob
2o13bo15bo14bob3o5b3obo14bobo3bo3bo3bobo108bo5bo$63bo13bo45bo4b2ob2o4b
o13b3o2bo7bo2b3o15bo2bo3bo2bo17bo2bob2ob2obo2bo19bobobobo20bobo7bobo
137bo11bo15bo15bo41bo3bo3bo3bo3bo3bo371bobobo2bobo2bobobo223bo2b3obobo
b3o2bo12b3o2bo7bo2b3o12bo2bo9bo2bo13b2o13b2o106bob2o3b2obo$63b2o3bo3bo
3b2o42b3o2bo9bo2b3o42bo13bo15bo2bob2ob2obo2bo18b2obobob2o18bo4b2ob2o4b
o132bo3bo4bobo4bo3bo11b2o13b2o45bobobo3bobobo379bobo3bobo228b4ob2ob2ob
4o13b2o15b2o12bo5b2ob2o5bo12b2o5bo3bo5b2o100b2o4bo2bobo2bo4b2o$63b2obo
bo3bobob2o45bobo2bo3bo2bobo43b2o5b2ob2o5b2o13bo13bo17bobobobobobo17bob
o9bobo163bobobo9bobobo671b2o2bobo5bobo2b2o14bo11bo18b3obobob3o18b5o3b
5o103b2o2bo11bo2b2o$62bo3bo7bo3bo41bo7bo3bo7bo39b2o7bobo7b2o11b5ob2ob
2ob5o15bo11bo16bobo3bobo3bobo167b2o7b2o678b2ob2o3b2ob2o17b3o7b3o14bobo
3bobobobo3bobo10bo3bo4bobo4bo3bo103b2obobobobob2o$60b3o4b2o3b2o4b3o99b
4o13b4o15bob2ob2obo21b2o5b2o18bobo2b2ob2o2bobo164bo15bo673bo4bo5bo4bo
15bobo7bobo13bobo4bo5bo4bobo11b2o4bo3bo4b2o105b3obo3bob3o$60b3ob2o2bo
3bo2b2ob3o129bobobob3o3b3obobobo41b2o5bobo5b2o165bo11bo675bo2b2o7b2o2b
o12b2obobo7bobob2o10bo3bob3o3b3obo3bo10bo3bo9bo3bo104b3o7b3o$210bobo3b
obo3bobo3bobo14bo9bo16b3o3b2ob2o3b3o161b2o2bo11bo2b2o671bo15bo11bo7bo
3bo7bo11bobo3bo3bo3bobo12b3o2b2o5b2o2b3o102bobo3b2ob2o3bobo$214b3o2bob
o2b3o18b2o7b2o21bobobobo170b2o9b2o680b2o3b2o17bo3bo3bobo3bo3bo160b2o5b
o5bo5b2o$215b5ob5o17bob4o3b4obo14bob2ob3ob3ob2obo162bo2bo2bo5bo2bo2bo
672bo3bo7bo3bo13b2obo2bo3bo2bob2o162bob4o7b4obo$215bo9bo15b3o5bobo5b3o
11b2o3b2o5b2o3b2o165bo2bo3bo2bo675b3ob2o7b2ob3o17b2o3b2o167b2o2b3o5b3o
2b2o$211b4o11b4o11bo2bobob2ob2obobo2bo11b2o15b2o161b2o3bobo3bobo3b2o
671b2o15b2o12bo3bo7bo3bo162bo7bobo7bo$211bob3obo5bob3obo11bo4bob2ob2ob
o4bo192bo5bo3bo5bo672bo5bo5bo5bo11bob2obo7bob2obo$241bobobobo5bobobobo
192bo2bo2b2ob2o2bo2bo672bob4ob2ob2ob4obo11bo2bo11bo2bo$242bo2bobo5bobo
2bo915bob3o3b3obo$243b2o11b2o918bo7bo$244b3o2bobo2b3o914bo3bo9bo3bo$
243bo2bobo3bobo2bo913bo3bo9bo3bo$242b2o13b2o911bo3bo3b2ob2o3bo3bo$
1172bobobob2ob2obobobo$244b2ob2o3b2ob2o915bob2o2b2ob2o2b2obo$244b2o3bo
bo3b2o915b2o13b2o$242b2o2bo2bobo2bo2b2o911bo3b2o2b2ob2o2b2o3bo$244bo3b
o3bo3bo914b6obo3bob6o$242b3o3b2ob2o3b3o918b2o3b2o$241bo5b2o3b2o5bo$
240b3ob5o3b5ob3o!
It might be possible to extend one of these using an odd-symmetric search at a lower width to find a width-21 spaceship.
mtve wrote:Just discovered that
http://www.conwaylife.com/wiki/70P2H1V0.1 has the minimum bounding box (21 is the minimum of bigger sides, and 12 is the minimum other side for all of width 21) or period 2 spaceships, it's also the only one in 12x21 box.
What method did you use to check this?
Edit: I was running the width-11 2c/5 even symmetric knightt search, but it was well beyond the point of finding interesting results, so I stopped it. Here is the output at the time it was stopped:
It is probably possible to find a few new 2c/5 puffers by removing the back ends of some of the ships in this collection. As an example, here is a new period-10 ship:
Code: Select all
x = 22, y = 115, rule = B3/S23
3bo14bo$2bobo12bobo$b2ob2o10b2ob2o$b2o2bo10bo2b2o$4bobo8bobo$4bobo8bob
o$b2obob2o6b2obob2o$2bobo12bobo$3b2ob2o6b2ob2o$4bob2obo2bob2obo$7bobo
2bobo$4b2obobo2bobob2o$4b2o3b4o3b2o$5bo3bo2bo3bo$6bo2bo2bo2bo$4b4o6b4o
$2b2o2bo8bo2b2o$bo3bo10bo3bo$bo4bo8bo4bo$bo4b2o6b2o4bo$2b2o2bo8bo2b2o$
2b2obo10bob2o3$3b2o12b2o$2bo2bo10bo2bo2$3bobo10bobo2$4bo12bo$3bobo10bo
bo$3bobo10bobo$2bo3bo8bo3bo$2b2ob2o8b2ob2o$bo5bo6bo5bo$2bo3bo8bo3bo$3b
obo10bobo$2b2ob2o8b2ob2o$2b2ob2o8b2ob2o2$bo5bo6bo5bo$2o5b2o4b2o5b2o$2b
obobo8bobobo$3b3o10b3o2$3bobo10bobo$6bo8bo$3b4o8b4o$2bo4b2o4b2o4bo$2bo
b5o4b5obo$b2ob2o10b2ob2o$6bo8bo$b2o16b2o$bo2b2obo6bob2o2bo$b3o3bo6bo3b
3o$2bob2o2bo4bo2b2obo$2bo3b4o2b4o3bo$9bo2bo$2bo5b2o2b2o5bo$2b2o14b2o$b
o7bo2bo7bo$b3obo4b2o4bob3o$bo3bo10bo3bo$bob2o12b2obo2$bo3bo10bo3bo$4bo
b2o6b2obo$b3o2b2o6b2o2b3o$b2o2b2o8b2o2b2o$5b3o6b3o$6b2o6b2o2$4bo3bo4bo
3bo$5b2obo4bob2o$8bo4bo$4bobo8bobo$4bo2bobo2bobo2bo$5bobobo2bobobo$6b
3o4b3o$7b8o2$6b3o4b3o$5b2o8b2o$5b2o8b2o$3bo14bo$3bo2b2o6b2o2bo$8b2o2b
2o$8bo4bo$5bo10bo$5b2o8b2o$9bo2bo$6b3o4b3o$5bo10bo$8b2o2b2o$9bo2bo$b2o
2b2obo4bob2o2b2o$bobobo10bobobo$bobobo2b2o2b2o2bobobo$7b3o2b3o2$9bo2bo
$6bo2bo2bo2bo$7bobo2bobo$4bo3b2o2b2o3bo$2b2ob3obo2bob3ob2o$2b2o3b2o4b
2o3b2o$3bo2b2obo2bob2o2bo$2b3o4bo2bo4b3o$2b3o3b2o2b2o3b3o$3bobo2b2o2b
2o2bobo$4b3obo4bob3o$4bo12bo$9bo2bo$5bob2ob2ob2obo$6bo8bo!
There isn't a great need for more 2c/5 puffer engines, as Paul Tooke found a lot back in the early 2000s. The only types of puffers we still need at this speed are p10 and p15 rakes.
Edit 2: I tried extending all of the "promising" 2c/7 partial results wherever the width shrank to 19, but I didn't find any significant extensions, much less spaceships.