While testing a skew torus version of wls I finally found something slightly steeper:What if we change the problem to restrict the entire ship to period 2?
What shapes are possible, if any? It turns out that arbitrarily large
ships do exist, but I don't know how to get remotely close to a square.
Here is a way to shift a left or right edge in by one stripe:By repeating this, we can get a slope as "low" as 79/4. Not very good,Code: Select all
x = 77, y = 55, rule = B3/S23 77o$$77o$$77o$$77o$$56obobob5obobb5obo$56boobobbo4bobobo3boo$bb5obobob 5obobb5obobob3ob3obbooboboboboo3boo3bo3boo8boo$bobo3boobobbo4bobobo3b oobobboobboobboo3bobbo4booboo6bobbo5b4o$5boo3bo3boo8boo3bo3bo3bo8bobb 3o3bobobo5bobo8bo$5b4o6bobbo5b4o5boobb6obo14bo9bo$8bobo5bobo8bobo3bobo 8bo4b3o7boo8bo$bo8bo9bo8bo3booboobboo7bo3bo6b3o6boobo$bo8boo8bo8boo3b 3o3bo3boboobbo3bo7bo9bo$boobo6b3o6boobo5boo7bobboobo6boobo$4bo8bo9bo5b o5b3o$27bobo3boo$25b3o4boobo$24boobbo5bo$26bo5bo$24bobo5bobo$24bo6bo$ 21b4o7bobo$21boo9bo$19bo14bo4bobo$19b4o9b3o3bobbo$18bo12b3o3boo$17b3o bbo9boo$18b3o12b8o$19bo14bobo4bo$20b3obo12b3o$20bobboo12bo3bo$21b3o15b 3o$23bo15b4o$21bo20bo$21bobo$20bo$21bobo$21bo$23bo$21b3o$20bobboo$20b 3obo$19bo$18b3o$17b3obbo$18bo$19b4o$19bo$21boo$21b4o$24bo!
but it's the only such component that I know of.
Code: Select all
x = 164, y = 62, rule = B3/S23
4$11bobo$10bo2bo$9b2o20bobo$8bo4bo16bo2bo$7b5obo15b2o20bobo$4b2o22bo4b
o16bo2bo$3bo3b3o17b5obo15b2o20bobo$2bo3bo17b2o22bo4bo16bo2bo$2bo5bo14b
o3b3o17b5obo15b2o20bobo$2bo2bo2bo13bo3bo17b2o22bo4bo16bo2bo$3bobo2b2ob
o10bo5bo14bo3b3o17b5obo15b2o20bobo$11bo10bo2bo2bo13bo3bo17b2o22bo4bo
16bo2bo$2b3o11bo6bobo2b2obo10bo5bo14bo3b3o17b5obo15b2o20bobo$2b2o9b4o
14bo10bo2bo2bo13bo3bo17b2o22bo4bo16bo2bo$2b3o6b3obo6b3o11bo6bobo2b2obo
10bo5bo14bo3b3o17b5obo15b2o20bobo$10b2o3bo6b2o9b4o14bo10bo2bo2bo13bo3b
o17b2o22bo4bo16bo2bo$3bobo4bo4b3o4b3o6b3obo6b3o11bo6bobo2b2obo10bo5bo
14bo3b3o17b5obo15b2o$3bo3b2obo4b2o13b2o3bo6b2o9b4o14bo10bo2bo2bo13bo3b
o17b2o22bo4bo$3b2ob3o8bo5bobo4bo4b3o4b3o6b3obo6b3o11bo6bobo2b2obo10bo
5bo14bo3b3o17b5obo$4bo5bobo2bobo5bo3b2obo4b2o13b2o3bo6b2o9b4o14bo10bo
2bo2bo13bo3bo17b2o$4b6o2bo2bo7b2ob3o8bo5bobo4bo4b3o4b3o6b3obo6b3o11bo
6bobo2b2obo10bo5bo14bo3b3o$2b2o10b2o8bo5bobo2bobo5bo3b2obo4b2o13b2o3bo
6b2o9b4o14bo10bo2bo2bo13bo3bo$2bo2bob5ob2o9b6o2bo2bo7b2ob3o8bo5bobo4bo
4b3o4b3o6b3obo6b3o11bo6bobo2b2obo10bo5bo$2bo2bo2bo4b2o7b2o10b2o8bo5bob
o2bobo5bo3b2obo4b2o13b2o3bo6b2o9b4o14bo10bo2bo2bo$o4bo3b2obo9bo2bob5ob
2o9b6o2bo2bo7b2ob3o8bo5bobo4bo4b3o4b3o6b3obo6b3o11bo6bobo2b2obo$o2bo6b
o11bo2bo2bo4b2o7b2o10b2o8bo5bobo2bobo5bo3b2obo4b2o13b2o3bo6b2o9b4o14bo
$bobo8bo4b2obo4bo3b2obo9bo2bob5ob2o9b6o2bo2bo7b2ob3o8bo5bobo4bo4b3o4b
3o6b3obo6b3o11bo$12bobobo3bo2bo6bo11bo2bo2bo4b2o7b2o10b2o8bo5bobo2bobo
5bo3b2obo4b2o13b2o3bo6b2o9b4o$3bobo2bo3b2o2b2o3bobo8bo4b2obo4bo3b2obo
9bo2bob5ob2o9b6o2bo2bo7b2ob3o8bo5bobo4bo4b3o4b3o6b3obo$3bo2bobo5b2o16b
obobo3bo2bo6bo11bo2bo2bo4b2o7b2o10b2o8bo5bobo2bobo5bo3b2obo4b2o13b2o3b
o$3bobo8b2ob2o4bobo2bo3b2o2b2o3bobo8bo4b2obo4bo3b2obo9bo2bob5ob2o9b6o
2bo2bo7b2ob3o8bo5bobo4bo4b3o$bo6bobobo10bo2bobo5b2o16bobobo3bo2bo6bo
11bo2bo2bo4b2o7b2o10b2o8bo5bobo2bobo5bo3b2obo4b2o$b6obo2b4o2b2o4bobo8b
2ob2o4bobo2bo3b2o2b2o3bobo8bo4b2obo4bo3b2obo9bo2bob5ob2o9b6o2bo2bo7b2o
b3o8bo$o15bo2bobo6bobobo10bo2bobo5b2o16bobobo3bo2bo6bo11bo2bo2bo4b2o7b
2o10b2o8bo5bobo2bobo$18o3b6obo2b4o2b2o4bobo8b2ob2o4bobo2bo3b2o2b2o3bob
o8bo4b2obo4bo3b2obo9bo2bob5ob2o9b6o2bo2bo$20bo15bo2bobo6bobobo10bo2bob
o5b2o16bobobo3bo2bo6bo11bo2bo2bo4b2o7b2o10b2o$38o3b6obo2b4o2b2o4bobo8b
2ob2o4bobo2bo3b2o2b2o3bobo8bo4b2obo4bo3b2obo9bo2bob5ob2o$40bo15bo2bobo
6bobobo10bo2bobo5b2o16bobobo3bo2bo6bo11bo2bo2bo4b2o$58o3b6obo2b4o2b2o
4bobo8b2ob2o4bobo2bo3b2o2b2o3bobo8bo4b2obo4bo3b2obo$60bo15bo2bobo6bobo
bo10bo2bobo5b2o16bobobo3bo2bo6bo$78o3b6obo2b4o2b2o4bobo8b2ob2o4bobo2bo
3b2o2b2o3bobo8bo4b2o$80bo15bo2bobo6bobobo10bo2bobo5b2o16bobobo$98o3b6o
bo2b4o2b2o4bobo8b2ob2o4bobo2bo3b2o2b2o$100bo15bo2bobo6bobobo10bo2bobo
5b2o$118o3b6obo2b4o2b2o4bobo8b2ob2o$120bo15bo2bobo6bobobo$138o3b6obo2b
4o2b2o3b2o$140bo15bo2bobo$158o3b2o$160bo$164o2$164o2$164o2$164o!