New 2c/6 ship

[velcrorex]

I found a new 2c/6 ship. It's almost completely p6. Small spark on the back, not sure how useful.

Code: Select all

x = 26, y = 22
19bo$16bobobo$5b3o7b4o$5boo11bo$7bobbobbobobo3bo$4b3obo4bobobobboo3bo$
4bo3bobobo11bo$7boboobo9bobo$b3obboobo10bobobo$obbob3obo9b3o$3bo5bo9b
3o$3bo5bo9b3o$obbob3obo9b3o$b3obboobo10bobobo$7boboobo9bobo$4bo3bobobo
11bo$4b3obo4bobobobboo3bo$7bobbobbobobo3bo$5boo11bo$5b3o7b4o$16bobobo$
19bo!

[Sokwe]

Fascinating! How did you find it?

On a related note, is there any hope for a completely p6 c/2 spaceship?

[137ben]

Wow, its not very often that an entirely new ship is discovered (that isn't engineered from smaller ships).

The spark can be hit with a glider to make a pi heptomino and a boat.

Code: Select all

x = 47, y = 30, rule = B3/S23
5$28b2o$16bo10bo$15bo8b4o2bo$14b2o2bo5bo6bo$14bo4bo2b5o$13b3obobo2bo3b
o2b2o3bo$16b2o11b2o2bobo$12bo2bo2bobobo7b4o$11bo6bo3bo6bo3bo2bo$10b2o
3b2obobo8bo$9b3o2b2o2bo10bo7bo$9b3o2b2o2bo10bo7bo$10b2o3b2obobo8bo$11b
o6bo3bo6bo3bo2bo$12bo2bo2bobobo7b4o$16b2o11b2o2bobo2b3o$13b3obobo2bo3b
o2b2o3bo3bo$14bo4bo2b5o12bo$14b2o2bo5bo6bo$15bo8b4o2bo$16bo10bo$28b2o!

[ssaamm]

or:

x = 29, y = 25, rule = B3/S23
19b2o$7bo10bo$6bo8b4o2bo$5b2o2bo5bo6bo$5bo4bo2b5o$4b3obobo2bo3bo2b2o3b
o$7b2o11b2o2bobo$3bo2bo2bobobo7b4o$2bo6bo3bo6bo3bo2bo$b2o3b2obobo8bo$
3o2b2o2bo10bo7bo$3o2b2o2bo10bo7bo$b2o3b2obobo8bo$2bo6bo3bo6bo3bo2bo$3b
o2bo2bobobo7b4o$7b2o11b2o2bobo$4b3obobo2bo3bo2b2o3bo$5bo4bo2b5o$5b2o2b
o5bo6bo$6bo8b4o2bo$7bo10bo$19b2o$27b2o$26b2o$28bo!

[velcrorex]

Found via WinLifeSearch.
Haven't had any luck with a fully p6 3c/6 ship, but that doesn't mean they're not out there.

[velcrorex]

Here's one with odd symmetry.

Code: Select all

x = 19, y = 32, rule = B3/S23
2b2o11b2o$2bobo9bobo$bo15bo$bo15bo$bo15bo$2bo2bo7bo2bo$2bo2bo7b
o2bo$3bobo7bobo$5bo7bo$5bo2bobo2bo$5b3o3b3o$5bo7bo$3b2ob3ob3ob2o
$4bo2bo3bo2bo$7b2ob2o$7b2ob2o$4bo3bobo3bo$5b2obobob2o$5b2obobob2o
$7b5o2$5bo7bo$2bo2bo7bo2bo$2bo2bo7bo2bo$6b2obob2o$4bo9bo$4bo9bo$
o2bo4b3o4bo2bo$5bo7bo$4b2o7b2o$b2obo9bob2o$3bo11bo!

There seem to be many ways to use the p6 front end to finish with a regular c/3 ship.

Code: Select all

x = 159, y = 38, rule=B3/S23
144bo9bo$121boo9boo11b3o3b3o$99bobo7bobo8b3o9b3o10bo7bo$99boo9boo9bo
11bo10b11o$55bo45bo7bo10boo11boo9boo7boo$3boboo3boobo12bobo5bobo17b3o
21b5o42b5o12bobbobo3bobobbo$bo13bo10bobbo3bobbo16bobobo15b3oboo3boob3o
11boo9boo8b3oboo3boob3o7b3o3bobo3b3o$3boobbobobboo39bo3bo17bobbo3bobbo
17booboo14bobbo3bobbo8boo6bo6boo$4b4ob4o13boo7boo15b3ob3o17bobo3bobo
15bobbo3bobbo12bobo3bobo11bobo7bobo$boobobbobobboboo8bo3bo5bo3bo9bo3bo
5bo3bo10booboo5booboo9bobo4bobo4bobo6booboo5booboo9boo7boo$boobobobobo
boboo7bo6bobo6bo7bo15bo9boobo7boboo8bo4booboboboo4bo5boobo7boboo7boboo
7boobo$4bobo3bobo10boboobo5boboobo7boboobo5boboobo12bo7bo12b3oboobobob
oob3o9bo7bo8bo17bo$boobobo3boboboo11bobo3bobo15bobo3bobo13boobobo3bobo
boo13boob3oboo10boobobo3boboboo5bo17bo$3obob5obob3o8bobob5obobo11bobob
5obobo10b3obob5obob3o30b3obob5obob3o6bo13bo$oobbo7bobboo7bobbo7bobbo9b
obbo7bobbo9boobbo7bobboo10boo9boo7boobbo7bobboo6bobbo7bobbo$bboobboob
oobboo10boobbooboobboo11boobbooboobboo12boobbooboobboo12boobbooboobboo
9boobbooboobboo9boobbooboobboo$$bbo4bobo4bo10bo4bobo4bo11bo4bobo4bo12b
o4bobo4bo12bo4bobo4bo9bo4bobo4bo9bo4bobo4bo$bbobbobobobobbo10bobbobobo
bobbo11bobbobobobobbo12bobbobobobobbo12bobbobobobobbo9bobbobobobobbo9b
obbobobobobbo$3bobobobobobo12bobobobobobo13bobobobobobo14bobobobobobo
14bobobobobobo11bobobobobobo11bobobobobobo$4booboboboo14booboboboo15b
ooboboboo16booboboboo16booboboboo13booboboboo13booboboboo$5bobobobo16b
obobobo17bobobobo18bobobobo18bobobobo15bobobobo15bobobobo$6booboo18boo
boo19booboo20booboo20booboo17booboo17booboo$5bobobobo16bobobobo17bobob
obo18bobobobo18bobobobo15bobobobo15bobobobo$5bobobobo16bobobobo17bobob
obo18bobobobo18bobobobo15bobobobo15bobobobo$5bobobobo16bobobobo17bobob
obo18bobobobo18bobobobo15bobobobo15bobobobo$3b3obbobb3o12b3obbobb3o13b
3obbobb3o14b3obbobb3o14b3obbobb3o11b3obbobb3o11b3obbobb3o$3b3o5b3o12b
3o5b3o13b3o5b3o14b3o5b3o14b3o5b3o11b3o5b3o11b3o5b3o$$3bobo5bobo12bobo
5bobo13bobo5bobo14bobo5bobo14bobo5bobo11bobo5bobo11bobo5bobo$bbo11bo
10bo11bo11bo11bo12bo11bo12bo11bo9bo11bo9bo11bo$bbo5bo5bo10bo5bo5bo11bo
5bo5bo12bo5bo5bo12bo5bo5bo9bo5bo5bo9bo5bo5bo$bo3bobbobbo3bo8bo3bobbobb
o3bo9bo3bobbobbo3bo10bo3bobbobbo3bo10bo3bobbobbo3bo7bo3bobbobbo3bo7bo
3bobbobbo3bo$booboobbobbooboo8booboobbobbooboo9booboobbobbooboo10boob
oobbobbooboo10booboobbobbooboo7booboobbobbooboo7booboobbobbooboo$boob
oo5booboo8booboo5booboo9booboo5booboo10booboo5booboo10booboo5booboo7b
ooboo5booboo7booboo5booboo$bobbo7bobbo8bobbo7bobbo9bobbo7bobbo10bobbo
7bobbo10bobbo7bobbo7bobbo7bobbo7bobbo7bobbo$b3o9b3o8b3o9b3o9b3o9b3o10b
3o9b3o10b3o9b3o7b3o9b3o7b3o9b3o$bbo11bo10bo11bo11bo11bo12bo11bo12bo11b
o9bo11bo9bo11bo!

[Sokwe]

Here's one with odd symmetry.

Excellent! I can't see any part of this ship that could be considered p3.

[Sokwe]

I just realized that this ship has enough of a spark to interact with a p15 and a p21 to get nontrivial (but still boring) ships of periods 30 and 42:

Code: Select all

x = 131, y = 112, rule = B3/S23
17bobobo3bobobo$102bo3bo3bobobo$21bo3bo3bo$102bo3bo7bo$17bobobo3bo3bo$
102bobobo3bobobo$21bo3bo3bo$106bo3bo$17bobobo3bobobo$106bo3bobobo21$
28bo10b3o56b3o9b3o$24b3ob3o6b2obo2bo3b2obo43bob2o3bo7bo3b2obo$23bo6b2o
6bobob2ob2obo2bo41b3o3bobo7bobo3b3o$24bobobo3bo2b2ob2o2bobo3bo2b2o2b2o
bo33bo3bo4b2o5b2o4bo3bo$30bobo2bobo3bo3bobob3obob2ob2o33bo7b3o3b3o7bo$
19b2o4b2o5b2obobobo3bo9bobobo2bo38bobo7bobo$18bob2o2b2o4b2obobo3bob4o
7bo6bo38b2o11b2o$18bob2o2b3ob2o11bo55bo3bo7bo3bo$18b2obobobobo4bo2b3ob
o3bobo55bo7bo$18bo12bo6bo2b2o3b2ob2ob3o43bob2o7b2obo$14b3o12b2obo2bo7b
o3bo2b2ob2o43bo13bo$13bo18b4o4bo3bo2bo4b3o43b3o9b3o$14bo2b2o8b2o3b2o6b
2o5b4o4b2ob2o$16bobo8bobo2bo13b3o5bo3b2o39bo11bo$18bo2b4o2bo24b3obo3bo
44bo$18bo8bo23b2obo43b2o4bobo4b2o$22b2o26bo3bo48bo3bo$17b12o68bo6b3o6b
o$16b2o10b2o68b2o11b2o$97bobo2b2o3b2o2bobo$22b2o78b2o3b2o$97bobo3b5o3b
obo$2b2o11b2o3b6o3b2o11b2o53bo2bo2bobobo2bo2bo$2bob2o7b2obo12bob2o7b2o
bo53bo2b3o5b3o2bo$3b3o7b3o14b3o7b3o62bo$5bo3bo3bo18bo3bo3bo64bo$4bo4bo
4bo16bo4bo4bo57bo3bo3bo3bo$3b2o4bo4b2o14b2o4bo4b2o55b2ob2o5b2ob2o$5bo
7bo18bo7bo61b2obob2o$5b2o5b2o18b2o5b2o57bo3b7o3bo$5bo7bo18bo7bo57bobo
9bobo$4b3o5b3o16b3o5b3o56b2o3b5o3b2o$101bo3bo3bo$8b3o24b3o61bob3obob3o
bo$6b3ob3o20b3ob3o59b2obo5bob2o$5bo7bo18bo7bo57bobo2bo3bo2bobo$4bobobo
bobobo16bobobobobobo56bo6bo6bo$5b2obobob2o18b2obobob2o56bo2bo3b3o3bo2b
o$97bob3o3bo3b3obo$6bo5bo20bo5bo59bo2bo5bo2bo$3b3o7b3o14b3o7b3o55b3ob
2obob2ob3o$3b2ob3ob3ob2o14b2ob3ob3ob2o54b2obobob3obobob2o$8bobo24bobo
58bo3bo4bo4bo3bo$4b2obo3bob2o16b2obo3bob2o54bobobo3bobo3bobobo$4b2obo
3bob2o16b2obo3bob2o58bo3bobo3bo$5b2o5b2o18b2o5b2o56b2o5bobo5b2o$5b2o5b
2o18b2o5b2o57b5obobob5o$2b2ob2o5b2ob2o12b2ob2o5b2ob2o58bobobobo$b2o13b
2o10b2o13b2o59bobo$b2o13b2o10b2o13b2o59bobo$3o13b3o8b3o13b3o68b2o11b2o
$b2o13b2o10b2o13b2o57bo5bo5bob2o7b2obo$b2o13b2o10b2o13b2o57bo5bo6b3o7b
3o$2b2o11b2o12b2o11b2o73bo3bo3bo$103b2ob2o8bo4bo4bo$115b2o4bo4b2o$117b
o7bo$117b2o5b2o$117bo7bo$116b3o5b3o2$120b3o$118b3ob3o$117bo7bo$116bobo
bobobobo$117b2obobob2o2$118bo5bo$115b3o7b3o$115b2ob3ob3ob2o$120bobo$
116b2obo3bob2o$116b2obo3bob2o$117b2o5b2o$117b2o5b2o$114b2ob2o5b2ob2o$
113b2o13b2o$113b2o13b2o$112b3o13b3o$113b2o13b2o$113b2o13b2o$114b2o11b
2o!

I didn't find any ways to make puffers at these periods, but I haven't looked very hard.

[Sokwe]

Here's a reduction of the known p15 c/3 puffer:

Code: Select all

x = 27, y = 12, rule = B3/S23
3b2o17b2o$3b2ob2o4b3o4b2ob2o$2bo3b2o4b3o4b2o3bo$6bobo3bobo3bobo$4bob2o
2b2obob2o2b2obo$2b3o2bobo7bobo2b3o$b2obo2bobo7bobo2bob2o$o3bobo13bobo
3bo$6bobob7obobo$6bo13bo2$6b2o11b2o!

Also, a single edge-repair spaceship can eat the output, resulting in a p15 spaceship:

Code: Select all

x = 32, y = 20, rule = B3/S23
8b2o17b2o$8b2ob2o4b3o4b2ob2o$7bo3b2o4b3o4b2o3bo$11bobo3bobo3bobo$9bob
2o2b2obob2o2b2obo$7b3o2bobo7bobo2b3o$6b2obo2bobo7bobo2bob2o$5bo3bobo
13bobo3bo$11bobob7obobo$11bo13bo2$11b2o11b2o$5bo$b3ob3o$o6b2o$b2o3bo2b
o3bo$11b4o2b2o$11bo7bo$9bo2bobo4bo$10bo!

[velcrorex]

Here are two c/3 glide symmetric ships with virtually no period 3 parts. Not terribly useful, but I think they're new, and they are 2c/6. Searches still in progress. There certainly may be smaller ships of this type.

Code: Select all

x = 119, y = 150
16$68booboo6boo$75bobo$66booboboob4o$65bobob3obo7bo$65bobboo3booboo3bo
$66b4o3bobobobbo$73bobb4o$69boboboboboo$68bobb3obobbo$68bobo4b3o$66b4o
5bo$65b5o4boobo$64bob3obob4obboobbo$64bo12b4obo$63boo3bobbo6bo$63boo6b
oo8boo$44bo6bo13b3o5boobobob3o$43bo6bo16bobo7bo$45bo6bo22bobobo$43b3o
4b3o15boobboo5bo$45bo6bo15bo3booboboo$45boo5boo14boobobo3bo$45boobbobb
oo11bobboboobobboo$45bobobbooboo10bobboboobobboobbo$45bo3boobb3o11bobb
obbobo4bobo$41boobo7bo11b3o4bo4boobbobo$42boboboobo3b3o13bo4boo3boo$
43boo7bo17b4ob5o$44boobo4bo11bobbo5bo3bobboo$46b6o14bob3oboboboboboo$
48bobo13bobo3b3oboobbo$46boobbo15bob3obobob4o$49b3o14boobboo3boo4b3o$
46booboboo11bo6bo3bo5b3o$45bobobb5o9boo$44b3o3boo12boo5bo3bo5b3o$45boo
5bobbo8b3o5b3o$42boobob5o11booboo4b3o4bobbo$43boobbo3boobbo10boo12bobo
$42bo4bo3b3obo23bobo$42bo7bobboo22b4obo$42bo6bo3bo10boo10b3o3bo$44b4o
5bo11bobobobo3bo3b3o$50boboo14bob4o3b4o$44b3o5bo15bo3b4obo$45bobboboo
19bobbobo$46b3obo18bo6boo$39boboo3bo3boo18b3obo3bo$38bo5bobobb4oboboo
11bobobboo$38bo3b6o4bob3obo10booboobbo3bo$42bo6b4o4bo8boobo3boo5boo$
39boo3b4o5boboo9b3o8boobo$41b3o4b4oboboo20boobo$43bobobo4b3o12bo10bo$
43bobbo3bo3boo10bobo8boo$46boobbo3boo10bobo5bobboo$42b3obo5bo3bo8bobo
5bobb3o$38boobobboboboobbobboo8b3obbob5obo3bo$42b3obb3o7bo7boo5bobo3bo
$40bo3bo5bobb4o11bo6bo3b3o$41b4o5bo5bo10boobo4bobboboo$41bo12boo11bo
11boo$42boo4bobbooboo11boo4bobbooboo$42b3o4bo3bo13b3o4bo3bo$47bobbo21b
obbo$46bo3boo19bo3boo$47bo24bo$46b3o22b3o$45boobbobboo16boobbobboo$43b
o7b3o14bo7b3o$43boo23boo$43boo5bo17boo5bo$43bo3boboo17bo3boboo$42boobb
o4bobbo12boobbo4bobbo$42boobbo5bob3o10boobbo5bob3o$42bo4bobbobbob3o9bo
4bobbobbob3o$41bo4bob5obboo9bo4bob5obboo$40bobbob5o3boboo8bobbob5o3bob
oo$41boobo4bo4boo10boobo4bo4boo$43b4obobboo15b4obobboo$48boobo21boobo$
50boo23boo$47bob3o20bob3o$46boobbo20boobbo$46bobbo21bobbo$47b3o22b3o$$
44boo23boo$44b3obo3boo15b3obo3boo$46bobbobo19bobbobo$51boo23boo$42b5ob
o3bo14b5obo3bo$42boobbobobo3bo12boobbobobo3bo$43boobobobobbo14boobobob
obbo$46bobob3o18bobob3o$48boo23boo$45bo4bo19bo4bo$48b3o22b3o$46bo6bo
17bo6bo$46boobo4bo16boobo4bo$42b3o3boo4bo12b3o3boo4bo$42bobo12boo8bobo
12boo$39bo4boo7boo9bo4boo7boo$38boo3boo7bo3b3o4boo3boo7bo3b3o$53boobbo
20boobbo$41boo10boo11boo10boo$40boo23boo$39bobo5bobo3b3o8bobo5bobo3b3o
$46bo4b5o15bo4b5o$39bo9bob5o8bo9bob5o$39b5obobobo5b3o6b5obobobo5b3o$
38boobo3bobobo3bo3boo4boobo3bobobo3bo3boo$39bo3bobobobobo3b4o5bo3bobob
obobo3b4o$39bobbo3bobo4boo9bobbo3bobo4boo$40bo6bobob3obo9bo6bobob3obo$
40b5o4b7o9b5o4b7o$41bo3bobboo4bo11bo3bobboo4bo$42bo3bob3o16bo3bob3o$
41b3obobobboo14b3obobobboo$40boo3bobo3boobbo9boo3bobo3boobbo$39b3o3bob
o3boboobo7b3o3bobo3boboobo$39b5obobo3bobo10b5obobo3bobo$45bobobobobob
oo13boboboboboboo$43bobooboobo3bo12bobooboobo3bo$43boo7b3o13boo7b3o$
43bo9bo14bo9bo!

[Sokwe]

Here is a new p21 c/3 ship found using gfind:

Code: Select all

x = 26, y = 35, rule = B3/S23
12b2o$8b2obo2bob2o$8b2o6b2o$8bobo4bobo$10b2o2b2o$9b2ob2ob2o$11bo2bo$9b
o6bo$9bo6bo2$9b8o$8b2o6b2o2$12b2o2$10b2o2b2o$8b2o6b2o$5b3obobo2bobob3o
$b3o4b2ob4ob2o4b3o$o3bob2o4b2o4b2obo3bo$bo2b3ob3o4b3ob3o2bo$5bo14bo$2b
3o5b2o2b2o5b3o$b2o8bo2bo8b2o$8b2o6b2o$7bo3b4o3bo$7bo10bo$6b2ob2o4b2ob
2o$9bob4obo$4b2o2b10o2b2o$5bo2bo8bo2bo$4bo5b2o2b2o5bo$5bo14bo$11bo2bo$
12b2o!

The sparks are hard to access, so it might not be useful for anything.

Is this small p6 tagalong known?

Code: Select all

x = 45, y = 13, rule = B3/S23
7bo3bo21bo3bo$5b3ob2obobo15bobob2ob3o$b2ob2o6bo2bo13bo2bo6b2ob2o$b2o2b
o2bo3bo2b2o2b2o3b2o2b2o2bo3bo2bo2b2o$o2bo4bo2bo2b2obob2o3b2obob2o2bo2b
o4bo2bo$11b2o4bo3bobo3bo4b2o$10b2o2bo2bobobobobobo2bo2b2o$12bo19bo$18b
3o3b3o2$20b2ob2o$20b2ob2o$20b2ob2o!

It looks familiar, but I might be mistaking it for the similar looking 3c/6 tagalong.

I also reduced David Bell's p9:

Code: Select all

x = 25, y = 16, rule = B3/S23
12bo$11bobo$10bo3bo$11b3o2$9b2o3b2o$9b2o3b2o$6b4o5b4o$2bob2obob2o3b2ob
ob2obo$b3o4bobo3bobo4b3o$o3bo5bo3bo5bo3bo$bo8bo3bo8bo$9bo5bo2$8b9o$7b
2o7b2o!

Here are two c/3 glide symmetric ships with virtually no period 3 parts.

Very cool! The first one has the same back end as a ship found by Karel Suhajda. It can also pull a small tagalong:

Code: Select all

x = 21, y = 118, rule = B3/S23
8b2o$7b3o$3bob3o2b3o2b2o$4b2obo2bo2bo2bo$4b2obobo3bob2o$6b3o2bobo$9b4o
$10bo$6bo6bo$5bo6bo$7bo6bo$5b3o4b3o$7bo6bo$7b2o5b2o$7b2o2bo2b2o$7bobo
2b2ob2o$7bo3b2o2b3o$3b2obo7bo$4bobob2obo3b3o$5b2o7bo$6b2obo4bo$8b6o$
10bobo$8b2o2bo$11b3o$8b2obob2o$7bobo2b5o$6b3o3b2o$7b2o5bo2bo$4b2obob5o
$5b2o2bo3b2o2bo$4bo4bo3b3obo$4bo7bo2b2o$4bo6bo3bo$6b4o5bo$12bob2o$6b3o
5bo$7bo2bob2o$8b3obo$bob2o3bo3b2o$o5bobo2b4obob2o$o3b6o4bob3obo$4bo6b
4o4bo$b2o3b4o5bob2o$3b3o4b4obob2o$5bobobo4b3o$5bo2bo3bo3b2o$8b2o2bo3b
2o$4b3obo5bo3bo$2obo2bobob2o2bo2b2o$4b3o2b3o7bo$2bo3bo5bo2b4o$3b4o5bo
5bo$3bo12b2o$4b2o4bo2b2ob2o$4b3o4bo3bo$9bo2bo$8bo3b2o$9bo$8b3o$7b2o2bo
2b2o$5bo7b3o$5b2o$5b2o5bo$5bo3bob2o$4b2o2bo4bo2bo$4b2o2bo5bob3o$4bo4bo
2bo2bob3o$3bo4bob5o2b2o$2bo2bob5o3bob2o$3b2obo4bo4b2o$5b4obo2b2o$10b2o
bo$12b2o$9bob3o$8b2o2bo$8bo2bo$9b3o2$6b2o$6b3obo3b2o$8bo2bobo$13b2o$4b
5obo3bo$4b2o2bobobo3bo$5b2obobobo2bo$8bobob3o$10b2o$7bo4bo$10b3o$8bo6b
o$8b2obo4bo$4b3o3b2o4bo$4bobo12b2o$bo4b2o7b2o$2o3b2o7bo3b3o$15b2o2bo$
3b2o10b2o$2b2o$bobo5bobo3b3o$8bo4b5o$bo9bob5o$b5obobobo5b3o$2obo3bobob
o3bo3b2o$bo3bobobobobo3b4o$bo2bo3bobo4b2o$2bo6bobob3obo$2b5o4b7o$3bo3b
o2b2o4bo$4bo3bob3o$3b3obobo2b2o$2b2o3bobo3b2o2bo$b3o3bobo3bob2obo$b5ob
obo3bobo$7bobobobobob2o$5bob2ob2obo3bo$5b2o7b3o$5bo9bo!

[Sokwe]

Here's a new p45 puffer:

Code: Select all

x = 26, y = 33, rule = B3/S23
8bo3b2o3bo$6b3ob2o2b2ob3o$2b3obo12bob3o$bo6bob6obo6bo$2bobo2bo3b4o3bo
2bobo$10bob2obo$2b2o4b4o2b4o4b2o$bo2bo16bo2bo$5bobo10bobo$5bob2o8b2obo
$4bob4o6b4obo$2b2ob2obo8bob2ob2o$b3obo3b2o4b2o3bob3o$2o22b2o$bo7b2o4b
2o7bo$2o6bo2bo2bo2bo6b2o$8bo2bo2bo2bo$9bob4obo$6b2obo6bob2o$9bo2b2o2bo
$7bobo2b2o2bobo$8b2obo2bob2o$7b3obo2bob3o$6b2o2b2o2b2o2b2o$9bobo2bobo$
2bobo6b4o6bobo$b2ob2o2b2obo2bob2o2b2ob2o$o2b2ob2o4b2o4b2ob2o2bo$10bo4b
o$4bob2o10b2obo$4b3obo8bob3o$3bobobob8obobobo$3bo18bo!

Unfortunately, I haven't been able to find any useful ways to perturb the output.

[moebius]

My new search program is designed to work at speeds in the height direction of (n-1)/(2n). It works at degraded performance at slower speeds and doesn't work at faster speeds at all. 2c/6 is the sweet spot.

I did an even symmetry search at width 18 and found the following turtle tag with a small period 6 end:

Code: Select all

x = 18, y = 32, rule = B3/S23
8b2o$4b2obo2bob2o$4b2o6b2o$4bobo4bobo$6b2o2b2o$5b2ob2ob2o$7bo2bo$5bo6b
o$5bo6bo2$5b8o$4b2o6b2o2$8b2o$7bo2bo2$7bo2bo$3b3ob4ob3o$2bo12bo$3bob2o
4b2obo$7b4o$4bo2b4o2bo$5b2ob2ob2o$4bob6obo$4bo8bo2$2bo5b2o5bo$b2o3b2o
2b2o3b2o$o2b4o4b4o2bo$4bobo4bobo$3b3o6b3o$3bo10bo!

I did an even symmetry search at width 20 which resulted in the following ship that is period 6 for its last quarter:

Code: Select all

x = 20, y = 107, rule = B3/S23
5bo8bo$5b2o2b2o2b2o$b3o2b3o2b3o2b3o$b2o2b2ob4ob2o2b2o$o2bo5b2o5bo2bo$
5b2o6b2o$8b4o$9b2o$9b2o$5bob2o2b2obo$4b2obo4bob2o$3bo2b2o4b2o2bo2$6bob
o2bobo$7b2o2b2o$8bo2bo$7b2o2b2o$5bo3b2o3bo$4b2o8b2o$2b2o12b2o$2b2o2b2o
4b2o2b2o$bo2bo3b4o3bo2bo$6bo6bo$bo5bo4bo5bo$2o4bo6bo4b2o$2o16b2o$bobo
5b2o5bobo$3b4obo2bob4o$bo6bo2bo6bo$2bo2b2o6b2o2bo$8b4o$5b2o6b2o$b2obo
10bob2o$b2o4bo4bo4b2o$b3o2b3o2b3o2b3o$3bo2bobo2bobo2bo$3b2obobo2bobob
2o$3bo2bo6bo2bo$bo3b2o6b2o3bo$2bo3b8o3bo$6bobo2bobo2$5b2o6b2o$6bo6bo$
5bobo4bobo$2b2o4bo2bo4b2o$2b2o2bob4obo2b2o$bo4bo6bo4bo$2b3obo6bob3o$3b
2o2bo4bo2b2o$3bo12bo$6bo2b2o2bo$3b2obobo2bobob2o$5b2o6b2o$5b2o6b2o$8b
4o2$6b2o4b2o$5bo3b2o3bo$4bo4b2o4bo$4bo3b4o3bo$8bo2bo$4b2obob2obob2o$3b
o12bo$6bo6bo$5b4o2b4o$9b2o$4bobo6bobo$b4o3b4o3b4o$o7b4o7bo$bob2o10b2ob
o$6b2o4b2o$3b2obo2b2o2bob2o$4bobobo2bobobo$b2obobob4obobob2o$4bobo2b2o
2bobo$2bobob2o4b2obobo$3b2obo6bob2o$2b6o4b6o$4bo3bo2bo3bo$2o3b2ob4ob2o
3b2o$bo2bo4b2o4bo2bo$5b2obo2bob2o$8bo2bo$6bo2b2o2bo2$5b2o6b2o2$6bobo2b
obo$5bo8bo$5bo8bo$4bo3bo2bo3bo$3b2o3bo2bo3b2o$2bo4b2o2b2o4bo$2bo2bobo
4bobo2bo$6b3o2b3o$2bobo10bobo$2b2o12b2o$2b3o10b3o$4bo10bo$2b2o12b2o$5b
10o2$2bo14bo$3bo12bo$8b4o$9b2o!

I did a width 21 gutter search and found the following ship that is period 3 for the first 10 rows and period 6 thereafter:

Code: Select all

x = 21, y = 59, rule = B3/S23
5bo9bo$b2obobo7bobob2o$b2o4bo5bo4b2o$b3o3bo5bo3b3o2$b3obo9bob3o$5b3o5b
3o$o6b2o3b2o6bo$bob2o4bobo4b2obo$3b4o2bobo2b4o$2b2ob3obobob3ob2o$4bo2b
2o3b2o2bo$3bo4b2ob2o4bo$4bo3b2ob2o3bo$3b2obo7bob2o$3bob3obobob3obo$2b
2obobobobobobob2o$3bob2obo3bob2obo$4b2o9b2o$5bo9bo$b2o15b2o$b3o13b3o$o
bo15bobo2$4bo11bo$3b2o2bo5bo2b2o$3bo3bo5bo3bo$3bo3bo5bo3bo$4b2o2bo3bo
2b2o$4bo2bo5bo2bo$5b2o7b2o$7bo5bo2$6bob2ob2obo$4b2o2bo3bo2b2o$7b2o3b2o
$3b4o7b4o$7b3ob3o$7bo5bo$8b2ob2o$3b2o11b2o$2bo2b2o7b2o2bo$2b2ob2o7b2ob
2o$bo2bob2o5b2obo2bo$bobo2b2o5b2o2bobo$8bo3bo$bo2bob3o3b3obo2bo$bo3bo
2bo3bo2bo3bo$bo5bo5bo5bo$8bo3bo$3bobo9bobo$3b4o7b4o$5bob3ob3obo$2bo15b
o$2bo3bo7bo3bo$6bo7bo$4b2obo5bob2o$7b2o3b2o$7b2o3b2o!

Several years ago I did a width 19 2c/6 glide symmetric search where I forced asymmetry on the first row. I did this with my old search program "knight" and this is where "knight" worked best. The search ultimately failed, but I sifted through the dump files and I noticed a case where it appeared to go period 3. I found a c/3 completion at width 23 odd symmetric. This is a large ship:

Code: Select all

x = 23, y = 140, rule = B3/S23
7bo3bo$6bobobobob3o$5bo2bo4b2o2bo$6bo4b2o2b3o$8b2o6b2o$7bobo5b2o$6bo4b
o2bo2bo$7b2ob2o5bo$5b2ob2obobobo$4bo2b3o3b2o2b2o$3b2o7b2o4b3o$3bob3o7b
obob2o$4b2o4bo3b2o$5b4o5bo$6bob2obob2ob2o$7bob5o2b3o$4b2obobo5bo$4b2ob
obo4b2ob2o$3bob6o3bo2bo2bo$3bob3o12bo$4b4o9bo$7bo3bo$5b3o3b2o3b4o$6b2o
2bobo3bo$6bo2b2obo$8bob2ob4o$5b5obo2b3o$6bo2b2obob2o2bo$9bo3bob3o$8bo
5b2o$8bo5b2o$10bo3b2o$7b2ob2ob2o2bo$3b2o4bobo4b3o$3b2ob2obo2bo3bobo$9b
o$5bo3b4ob2o$6bo2bob3ob3o$7bo3bo4b2o$7b2o7b2o$7bo5bobob2o$6bobo6b4o$5b
3o2b2o6bo$4bo6b3obob2o$2b2ob2ob2o3bo$3bo8b2o4bo$5b2o2b2o3b2obobo$6b2o
2bo5b2o$17b2o$4b2ob2o4b2o$5bo3bo3b2o$8bobo2bo$8bo4bo$6bo4bo2bob2o$4b2o
3bobo4b3o$3b2o8bo2b2o$4bo6bobo$4bo3b2o3b2obo$4b3obobobobobobo$4bobo3bo
bobobo$3b2obo3bo2bo2bob2o$2bo3bo2b2o2bo$2bo3b2ob2ob2o6bo$4bo7b2o5b2o$
3bo2bo3bob2o$6bo5bo3bo$5bo9b3o$7bob2obo2bo2bo$4b2o5b6o$4bobo11b2o$4bob
3o7b3o$15b4o$9b2o4b3o$10b2obobo$11bob2o$9b2o4bo$8b5o$9bo5bo$15bo$10bo
3bo$3b3o4b2obo4b2o$3bobo5bobo2b2o2bo$3bo8b2o2b2o$4b3o3b3o$4b4o6bobo3bo
$4bo3bobo9bo$5b2o5bobo2b3o$9bo3bo2bo$3bo3bo8bo2bo$3b2o2b2o6b2o$3b3o7bo
3bo$4b2o4b4o2bo2bo$9bo3bo2bo$5bo4bobo3bobo$6bo10b2o$4b3o11b2o$3b3obo6b
2o$5b4o5b2o$6b2o2bo2bo$8bob2obo$8b3obo2bo$7bo4bo3bo$8b2o5bo$9bo4b2o$8b
obo3bo$8bobo$10bobo$10bo2bo$9bo3bo2$9bo3bo$4b2ob2ob3ob2ob2o$3bobobo7bo
bobo$2b2obob2ob3ob2obob2o$2b3obo2bobobo2bob3o$9bobobo$4bo13bo$4b2o11b
2o$3b3o11b3o$ob2o15b2obo$o2bo15bo2bo$2ob2o13b2ob2o$o2bo15bo2bo$3bob2o
9b2obo$bobobob2o5b2obobobo$2obobo3bo3bo3bobob2o$3b5obo3bob5o$2ob2ob2ob
2ob2ob2ob2ob2o$6bobo5bobo$bo3bo11bo3bo$o4b2ob2o3b2ob2o4bo$bo3b2ob2o3b
2ob2o3bo$obo3bobo5bobo3bobo$4b2o11b2o$2o19b2o2$bo19bo$bo19bo$obo17bobo
$o21bo!

One thing I have noted with these ships is that the period 3 and period 6 parts do not play well together. The interface is either very small in most cases, line puffer like in the third ship I posted, or still life in the second ship I posted.

[Sokwe]

I did an even symmetry search at width 18 and found the following turtle tag with a small period 6 end

Is your program able to confirm that no 2c/6 symmetric even-width ships exist for width 16? I think gfind gives a negative result, but I'm not sure if the duplicate elimination isn't removing some period-6 results.

[Saka]

My new search program is designed to work at speeds in the height direction of (n-1)/(2n). It works at degraded performance at slower speeds and doesn't work at faster speeds at all. 2c/6 is the sweet spot.

Could you please post your program?

[moebius]

Sokwe,

Alas, I cannot confirm that no 2c/6 symmetric ships exist for width 16. The following turtle tag is the problem. It repeats, it has two hookups to the turtle, and it has at least 15 completions. It completely gunks up my search tree and I cannot tell if it is masking period 6 results. I believe there is a way to get around this problem, but it will take time to program up a solution:

Code: Select all

x = 14, y = 40, rule = B3/S23
6b2o$2b2obo2bob2o$2b2o6b2o$2bobo4bobo$4b2o2b2o$3b2ob2ob2o$5bo2bo$3bo6b
o$3bo6bo2$3b8o$2b2o6b2o2$6b2o$5bo2bo2$5bo2bo$b3ob4ob3o$o12bo$b2o3b2o3b
2o$5b4o$4bo4bo2$5bo2bo$6b2o$5b4o$b2obo4bob2o$b2o8b2o$o2bo6bo2bo$5b4o$
4b2o2b2o$5b4o$5bo2bo2$6b2o$4b2o2b2o$3b3o2b3o$2b2o6b2o$3bo6bo$2b2o6b2o!

Saka,

I will certainly post my program real soon now. Do I stick it inside one of these posts? I can't today because I am tracking down a bug I must have recently inserted. David Epstein's analysis of my coding style still applies and it is a program under development.

Have a happy day,

-Tim Coe

[Saka]

Saka,

I will certainly post my program real soon now. Do I stick it inside one of these posts? I can't today because I am tracking down a bug I must have recently inserted. David Epstein's analysis of my coding style still applies and it is a program under development.

Have a happy day,

-Tim Coe

Sure, to upload an attachment, go to the bottom, just below the post reply box and click the tab that says "Upload Attachment" and you probably know what to do. By the way, is it python, c, c++, or executable?

[wildmyron]

I did an even symmetry search at width 18 and found the following turtle tag with a small period 6 end

Is your program able to confirm that no 2c/6 symmetric even-width ships exist for width 16? I think gfind gives a negative result, but I'm not sure if the duplicate elimination isn't removing some period-6 results.

I ran this search using Paul-Tooke's modified gfind with the duplicate elimination disabled, i.e.

Code: Select all

gfind /b3/s23/n2/v/l96/f200/h0/p

The results consist of 60P3H1V0.X, the turtle and the following collection of tagalongs for the turtle. In addition there are variations of these ships including phase differences between the turtle and tagalongs, and longer versions of these ships based on the extensible tagalong (also shown).

Code: Select all

x = 205, y = 59, rule = B3/S23
193b2o6b2o$195bo4bo$193bo8bo$193bo2bo2bo2bo$194bo6bo$196b4o$197b2o$
164bobo2bobo24bo2bo$164bo6bo$163b4o2b4o22bo4bo$161b3o8b3o21b4o$192b2o
3b2o3b2o$144b2o4b2o12b2o4b2o19bo12bo$144bo6bo12bo6bo20b3ob4ob3o$124bo
6bo12b2o4b2o12b2o4b2o24bo2bo$124bobo2bobo10b3o6b3o8b3o6b3o$125bo4bo10b
obo3b2o3bobo6bobo3b2o3bobo22b2o$125bo4bo11b3ob4ob3o8b3ob4ob3o$146bo2bo
16bo2bo26b4o$124b2o4b2o14bo2bo16bo2bo26bo2bo$146b4o16b4o22bo3bo2bo3bo$
123bobo4bobo58bo2bobo2bobo2bo$124b2o4b2o10bo2b2o2b2o2bo8bo2b2o2b2o2bo
18b2ob6ob2o$122bo2b2o2b2o2bo7bo3b2o2b2o3bo6bo3b2o2b2o3bo18bob2o2b2obo$
122b3o6b3o8b2o3b2o3b2o8b2o3b2o3b2o23b2o$121b2o10b2o11b4o16b4o$123bobo
4bobo9bo3bo2bo3bo8bo3bo2bo3bo22bo2bo$84bo6bo11bo8bo11b2o4b2o13bo4bo14b
o4bo25b4o$63b2o6b2o10bo8bo11bo6bo10bob2o4b2obo8b2o8b2o8b2o8b2o21b2o2b
2o$65bo4bo12b3o4b3o9b3o6b3o6bo14bo8bobo2bobo12bobo2bobo24b4o$63bo8bo
47bo14bo6b4o4b4o8b4o4b4o17bo2bo6bo2bo$63bo2bo2bo2bo10b2o6b2o10b2o6b2o
9bo10bo8b2o8b2o8b2o8b2o18b2o8b2o$64bo6bo50bo3bo2bo3bo8b2obo4bob2o8b2ob
o4bob2o18b2obo4bob2o$66b4o14bo6bo12bo6bo11b4o2b4o13b4o16b4o26b4o$67b2o
13bo10bo8bo10bo10bo2b2o2bo15b2o18b2o28b2o$66bo2bo14bo6bo12bo6bo14bo2bo
16bo2bo16bo2bo26bo2bo$81bo3bo4bo3bo6bo3bo4bo3bo$65bo4bo11b2o8b2o8b2o8b
2o11bo4bo14bo4bo14bo4bo24bo4bo$66b4o16bo2bo16bo2bo16b4o16b4o16b4o26b4o
$62b2o3b2o3b2o8bob2o4b2obo8bob2o4b2obo8b2o3b2o3b2o8b2o3b2o3b2o8b2o3b2o
3b2o18b2o3b2o3b2o$44b2o4b2o9bo12bo6bo12bo6bo12bo6bo12bo6bo12bo6bo12bo
16bo12bo$41bo4bo2bo4bo7b3ob4ob3o8b3ob4ob3o8b3ob4ob3o8b3ob4ob3o8b3ob4ob
3o8b3ob4ob3o18b3ob4ob3o$40bobob3o2b3obobo10bo2bo16bo2bo16bo2bo16bo2bo
16bo2bo16bo2bo26bo2bo$41b3o2b4o2b3o$46bo2bo16bo2bo16bo2bo16bo2bo16bo2b
o16bo2bo16bo2bo26bo2bo$47b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o$3b2o6b
2o$5bob2obo12b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o
6b2o10b2o6b2o20b2o6b2o$bo2b3o2b3o2bo9b8o12b8o12b8o12b8o12b8o12b8o12b8o
12b8o22b8o$o5bo2bo5bo$b3ob2o2b2ob3o9bo6bo12bo6bo12bo6bo12bo6bo12bo6bo
12bo6bo12bo6bo12bo6bo22bo6bo$5bo4bo13bo6bo12bo6bo12bo6bo12bo6bo12bo6bo
12bo6bo12bo6bo12bo6bo22bo6bo$6bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo
16bo2bo16bo2bo16bo2bo26bo2bo$4b2ob2ob2o12b2ob2ob2o12b2ob2ob2o12b2ob2ob
2o12b2ob2ob2o12b2ob2ob2o12b2ob2ob2o12b2ob2ob2o12b2ob2ob2o22b2ob2ob2o$
5b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b2o14b2o2b
2o14b2o2b2o24b2o2b2o$3bobo4bobo10bobo4bobo10bobo4bobo10bobo4bobo10bobo
4bobo10bobo4bobo10bobo4bobo10bobo4bobo10bobo4bobo20bobo4bobo$3b2o6b2o
10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b2o10b2o6b
2o20b2o6b2o$3b2obo2bob2o10b2obo2bob2o10b2obo2bob2o10b2obo2bob2o10b2obo
2bob2o10b2obo2bob2o10b2obo2bob2o10b2obo2bob2o10b2obo2bob2o20b2obo2bob
2o$7b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o28b2o!

Presumably, gfind will just keep on going spitting out longer and longer versions of these ships which means you can't be certain that there isn't a longer p6 partial waiting to be completed. So I also inspected the partials at various points throughout the search. There are no distinct partials which survive beyond the length of the turtle plus the first repetition of the extensible tagalong - which I believe is fairly conclusive that no 2c/6 symmetric ships exist for width 16.

[wildmyron]

Here's a partial for a "fully p6" 2c/6 even-symmetric ship with a frontend I haven't been able to find in this forum or in jslife:

Code: Select all

x = 51, y = 22, rule = B3/S23
2o2bo14b2o$3bobo11bob3o$3o2b2o9bo5bo3b3o4bo$3bob2o10bobo2bo3bobo3b2o$
3b4o2b4o9bo3bo2bo2bo2bo$4b2obo3b3o4bobo5bobobo3b4obob2o$4b2ob2o4b2o2bo
2bob2o2bobo4bo3bobo8bo$4bobo6bo3b7o2bo12b2o2bo4b2o$4b4o4bo4b2o4b4o15b
2o3bob2o$b3o2b2o4bo3bo7b2o12bo6b3o$6bobo3bo22bo2bo4b2o$6bobo3bo22bo2bo
4b2o$b3o2b2o4bo3bo7b2o12bo6b3o$4b4o4bo4b2o4b4o15b2o3bob2o$4bobo6bo3b7o
2bo12b2o2bo4b2o$4b2ob2o4b2o2bo2bob2o2bobo4bo3bobo8bo$4b2obo3b3o4bobo5b
obobo3b4obob2o$3b4o2b4o9bo3bo2bo2bo2bo$3bob2o10bobo2bo3bobo3b2o$3o2b2o
9bo5bo3b3o4bo$3bobo11bob3o$2o2bo14b2o!

[Scorbie]

Perhaps finally an unarguably 'strictly volatile' 2c/6 is coming out? (I'm not too sure how to define that one...)

Edit: Thanks, Sokwe! Although I'm not sure how to formalize the definition, that looks strictly volatile to me :)

[Sokwe]

Perhaps finally an unarguably 'strictly volatile' 2c/6 is coming out? (I'm not too sure how to define that one...)

I think one of Josh Ball's ships from earlier in this topic qualifies.

[wildmyron]

Here's a partial for a "fully p6" 2c/6 even-symmetric ship with a frontend I haven't been able to find in this forum or in jslife:

Code: Select all

<snip>

A few alternative extensions of the partial.

Code: Select all

x = 72, y = 104, rule = B3/S23
3o35b2o3b2o$b2o6bo3bo4bo19b3obobo$bobo6b4obo3b2o16b5o3bo$2bobo4b2o4bo
10bo9b2o2b2o12bo$bobobo3b2o4b2o4b3obo2b3ob2o2b2obob5o7b2o$3ob5obo3bo5b
o4b2ob3ob2ob2o8b2ob2o3bo2bo$6bobob2obo4bob4o5b3o3bo5bo6bo2bo3b4obob2o$
bobob2obobo7bobo4b3o5b2o2b2obo6bob2o3bo3bobo8bo$bobobo18b2obo2bob2o5bo
20b2o2bo4b2o$o3bo20b2o3b2o19b2o10b2o3bob2o$26bo3b2o27bo6b3o$26b2o28bo
2bo4b2o$26b2o28bo2bo4b2o$26bo3b2o27bo6b3o$o3bo20b2o3b2o19b2o10b2o3bob
2o$bobobo18b2obo2bob2o5bo20b2o2bo4b2o$bobob2obobo7bobo4b3o5b2o2b2obo6b
ob2o3bo3bobo8bo$6bobob2obo4bob4o5b3o3bo5bo6bo2bo3b4obob2o$3ob5obo3bo5b
o4b2ob3ob2ob2o8b2ob2o3bo2bo$bobobo3b2o4b2o4b3obo2b3ob2o2b2obob5o7b2o$
2bobo4b2o4bo10bo9b2o2b2o12bo$bobo6b4obo3b2o16b5o3bo$b2o6bo3bo4bo19b3ob
obo$3o35b2o3b2o17$38b2o3b2o$38b3obobo$37b5o3bo$36b2o2b2o12bo$25bo4bo5b
2obob5o7b2o$17b2o2b5o3bobo3b2o8b2ob2o3bo2bo$17bobobo2b2o2bo4bobo5bo6bo
2bo3b4obob2o$26b2o3b3o3b2obo6bob2o3bo3bobo8bo$19bo4b2o13bo20b2o2bo4b2o
$20b2o2b3o6b2o16b2o10b2o3bob2o$21b2o4b2o4b2o24bo6b3o$31b2o23bo2bo4b2o$
31b2o23bo2bo4b2o$21b2o4b2o4b2o24bo6b3o$20b2o2b3o6b2o16b2o10b2o3bob2o$
19bo4b2o13bo20b2o2bo4b2o$26b2o3b3o3b2obo6bob2o3bo3bobo8bo$17bobobo2b2o
2bo4bobo5bo6bo2bo3b4obob2o$17b2o2b5o3bobo3b2o8b2ob2o3bo2bo$25bo4bo5b2o
bob5o7b2o$36b2o2b2o12bo$37b5o3bo$38b3obobo$38b2o3b2o17$21b4o13b2o3b2o$
20bo3bo3b2obo6b3obobo$20b4o2bo5b2o3b5o3bo$21bobo2bo3bob2o2b2o2b2o12bo$
22b2o6b2o4b2obob5o7b2o$27b2o6b2o8b2ob2o3bo2bo$20b3o4b2o2bo3bo5bo6bo2bo
3b4obob2o$20bo7bobo2bo3b2obo6bob2o3bo3bobo8bo$29b3obo5bo20b2o2bo4b2o$
51b2o10b2o3bob2o$59bo6b3o$56bo2bo4b2o$56bo2bo4b2o$59bo6b3o$51b2o10b2o
3bob2o$29b3obo5bo20b2o2bo4b2o$20bo7bobo2bo3b2obo6bob2o3bo3bobo8bo$20b
3o4b2o2bo3bo5bo6bo2bo3b4obob2o$27b2o6b2o8b2ob2o3bo2bo$22b2o6b2o4b2obob
5o7b2o$21bobo2bo3bob2o2b2o2b2o12bo$20b4o2bo5b2o3b5o3bo$20bo3bo3b2obo6b
3obobo$21b4o13b2o3b2o!

I am abandoning this search, even though it would have been nice to find a completion.

[Sokwe]

I did an even symmetry search at width 18 and found the following turtle tag with a small period 6 end

I just noticed that this can be made into a width-18 glide-symmetric ship:

Code: Select all

x = 18, y = 32, rule = B3/S23
8b2o$4b2obo2bob2o$4b2o6b2o$4bobo4bobo$6b2o2b2o$5b2ob2ob2o$7bo2bo$5bo6b
o$5bo6bo2$5b8o$4b2o6b2o2$8b2o$7bo2bo2$7bo2bo$3b3ob4ob3o$2bo12bo$3bob2o
4b2obo$7b4o$4bo2b4o2bo$5b2ob2ob2o$4bob6obo$4bo8bo2$2bo5b2o5bo$b4ob2o2b
2o3b2o$o3bobo4b4o2bo$4bob2o3bobo$4b2o6b3o$4b2o8bo!

I strongly doubt that any width-16 bilaterally-symmetric or glide-symmetric ships exist.