Outer-totalistic hexagonal rules with spaceships

[muzik]

Bump. I found a
(2,1)c/5 hexagonal knightship!

Code: Select all

x = 56, y = 140, rule = B256/S256h
5bo$b2ob3o$bobo5bo$5bo4bo$5bob2o$2bo2bo3bobo$2b2o3bobo3bo$bo3bo$2o
4bo6b2o$bo2b4o3b3o$2b2obo3b2o2bobo$5bo3bob2o2bobo$6bobo$6bobo$6bo
6bo2bo$7bob3o$14bo$13b2obo$8bo$8b2o2bo$14b2obo$12bobobo$15b2obo$
12b6obo$17bo$13bo2bobo$14bo$16bo2bo$12b3obo$12bo2bo$13b2ob2o$13bo
3bo2b3o$13bobo3bo2bo$12bo3bo3bo5bo$13b2o2bobo6bo$12bo4bob2obo4bo$
13bo2bob2o3bob2o$18bob2ob5o$16b2obo2bo3bo$25bo$16bo9b3o$20bo6bo$
19bo2b2obo$20b3o2bo$20bo2bo4bo$23bo2bobo$21b2obo2bobo$23b2o2b2o$
23bo6bo$23bo2b3o$26bo3b2o$23bob3ob2o$24bo$23bo2bo3bobo$23bo4bo5bo$
20b3o3bo4bo$21bo$21bo2b3ob5o$23b2o4bo2bobo$22b4o5b3o$22bo2b2obo2bo
$21b2o3b2obo3bo$21bo8bo$19bo2bo3bo2bo$22bobobo3bo2bo$22b2o8bo$20b
2o10bo$19bo2bo2b3o$21bo3b2o2bo$21bobobob2o$27bob2o$29bo$24bo3b3o$
30b3o$27b2obo$27b2o5b2o$28bo2b2o$27bo2bo2bobo$29bo$28b4o2bo$29bobo
bo3bo$28bo5bo$31bob2o2bo$28bobob2o2b2o$28b2o9b2o$37b2o$29bo2bobo4b
2o$31bo3bo$32bo2bo2b3o$31bobobo2bo$31bo2bo5bo$33b2o$32bo6bo$33bo$
31bo2bo3b2o$32b3o$32bo2b2o3bo$35bo$34bo2b2o$36bobo2$36bo2bo$35b2ob
obo$38b2o$36bo3bo$40bo$39bo$38b2o$38b2obo$39b2o$42b2o$42bo$40bo3bo
$39b2o2b2o$40b3o2bo$41bobo$41bo2bo$41bo$40b3obo2$42bo2bo$42bo2bobo
$47b2o$48bo$48bo$44b3o$45bo2b2o$44bobob2obo$47bo2bo2bo$49bobo$47b
2obo$48bobo2bo$48b3o3bo$47bo2bobo$48b4o$49b2o4bo$49bo4bo$55bo2$55b
o!

This would be (2,1,-3)c/5 in cube coordinate terms, right? Hexagonal grids aren't exactly conducive to (a,b) displacement notation the way square grids are.

I tried making a graph of known spaceship directions so far. Green indicates known, yellow indicates a duplicate of a known displacement, red indicates one which is yet to be discovered, and the various shades of blue are redundant due to rotation/reflection:

Code: Select all

x = 13, y = 13, rule = //7H
EF3EFE$FE4FEF$EFEFEFEFE$E2FE2DE2FB$EFEDEDEDBCB$3F4D2A3C$5ED2A5B$.3F6D
3F$2.EFEDEDEDEFE$3.E2FE2DE2FE$4.EFEFEFEFE$5.FE4FEF$6.EF3EFE!
[[ GRID COLOR 1 0 255 0 COLOR 2 255 255 0 COLOR 3 255 0 0 COLOR 4 160 160 255 COLOR 5 208 208 255 COLOR 6 0 0 255 ]]

So we're still to find spaceships that move in the (3,1,-4), (3,2,-5), (4,1,-5) and (5,1,-6) directions, if we're limiting to directions depicted within this diagram.

[Naszvadi]

...
Edit (15 Jul): knightship and knightwise puffer:

pattern

Le another oblique spaceship, same speed and engines:

Code: Select all

x = 138, y = 237, rule = B2/S25H
5bo49bo$b2ob3o44b2ob3o$bobo5bo41bobo5bo$5bo4bo44bo4bo$bo3bob2o42bo3bo
b2o$bo3bo3bobo39bo3bo3bobo$7bobo3bo43bobo3bo$o6b2ob2o38bo6b2ob2o$3b2o
bo2bo4b2o37b2obo2bo4b2o$6b3o3b3o41b3o3b3o$3bobo6b2o2bo36bobo6b2o2bo$5b
o3bo6bo38bo3bo6bo$4b4ob2ob2o2b3o35b4ob2ob2o2b3o$3bo7bo6bo34bo7bo6bo$8b
obo2bo44bobo2bo$3bob2o2bobo3bo3bo33bob2o2bobo3bo3bo$5bobobo11bo33bobo
bo11bo$11bo49bo$7bob2o46bob2o$6bob2ob2o8b2o33bob2ob2o8b2o$11bo2bo6b3o
37bo2bo6b3o$13b2o4b2o42b2o4b2o$13bo2bo6b2o38bo2bo6b2o$14bob2o2b2o42bo
b2o2b2o$10bo8bobo2b2o34bo8bobo2b2o$14bo6bobo40bo6bobo$11bobo6b2o3bo35b
obo6b2o3bo$12bo9bobo2bo34bo9bobo2bo$11bo14bobo32bo14bobo$26bob2o46bob
2o$11b2o15bo32b2o15bo$13bo13bo35bo13bo$15bo10b3o2bo33bo10b3o2bo$11bob
o2bo9bo34bobo2bo9bo$12bo2b2o8bob2o2bo30bo2b2o8bob2o2bo$12b2o13b5o30b2o
13b5o$14bobo9b2obo34bobo9b2obo$10b2o5bo12bo29b2o5bo12bo$11bo7bo10bo30b
o7bo10bo$10b2o4bo8bo2bobo29b2o4bo8bo2bobo$15bobo9bob2o34bobo9bob2o$12b
2obo10b2o3bo30b2obo10b2o3bo$11bo2b2o4bo6bo2bobo28bo2b2o4bo6bo2bobo$17b
o11b3obobo31bo11b3obobo$32bo4bo44bo4bo$11b2obo17bobo2bo23b2obo17bobo2b
o$13bo17bob2o28bo17bob2o$16b2o10bobob2o32b2o10bobob2o$15b2ob2o11b3o2b
o28b2ob2o11b3o2bo$13bo4bobo9bo7bo24bo4bobo9bo7bo$15b2o2bo9bobobo5bo25b
2o2bo9bobobo5bo$14b5o2bo16b2o24b5o2bo16b2o$19bo11b2o2bo33bo11b2o2bo$12b
o2bo17bo28bo2bo17bo$12bo2bo19bo26bo2bo19bo$13bobo4bo42bobo4bo$14bo4bo
13b3o28bo4bo13b3o$36bo49bo$13bo5bo15b2o26bo5bo15b2o$34bobo47bobo$13bo
5bo14bo29bo4bo14bo$26bo7bobobo37bo7bobobo$15bo9b3o47b3o$13b2o17b2o2bo
3bo41b2o2bo3bo$14bo11bo4b2ob2o3bo24b2o10bo4b2ob2o3bo$14b3o10bobo2bo3b
o40bobo2bo3bo$12bo2bo10bo2bo2b2o3bo38bo2bo2b2o3bo$14bobo10b2o48b2o$27b
o5bo43bo5bo$16bo10bobo5bo41bobo5bo$9b2o2bobo13b4obo31b2o11b4obo$10bo5b
o10bo2bo3b2o41bo2bo3b2o$8bobo4bo15bo3b2o44bo3b2o$10bo5bo17bo49bo$17bo
10bo3b2o2b2o40bo3b2o2b2o$15b2ob2o8bo3bobo43bo3bobo$8b3o5bob2o11bo36b2o
11bo$11bobobo3bo9b8o42b8o$9b2o3b2o14b2ob3o3b2o39b2ob3o3b2o$10b3o5bo8b
o4bo2bobo39bo4bo2bobo$10b2o2b3o2bo2bo5bo5bo5bo37bo5bo5bo$9bo3b2o20b2o
48b2o$10bo2bo14bo41b2o6bo$13b4o11b3o3bo43b3o3bo$27bo6bobo40bo6bobo$12b
2o4bo7bo49bo$13b3o$12bo5b2o11bo49bo$27bo4bo39b2o3bo4bo$11b2ob3o13b3o47b
3o$29b3obo45b3obo$12bo2bo2bo13b3o47b3o$12b2o19b2o48b2o$33bobo47bobo$13b
o20b3o37b2o8b3o$18bo$16bo18bobo47bobo$34bobo47bobo$37b2o48b2o$36bobo47b
obo$35bobo38b2o7bobo$36bo49bo$35bobo47bobo$35b2obo46b2obo$36bo2bo46bo
2bo$35bobobo45bobobo$78b2o6$80b2o6$82b2o6$84b2o6$86b2o2$98bo2b3o$98b2o
2bobo$100bobo2bo$96bobo3b2o3bo$88b2o9b2o2bob2ob2o$97bo3bobo$100bo2bo2b
2ob2o$98b2obo2bo$99bo8bobobo$109b2obo$90b2o8b3obo5bo$99bo2bo3b2o2bob2o
$101bob2o3bo2bo2b2o$99bobo2b2obo5b2o$101b2o3bo8b2o$107bo8bo$92b2o9b2o
6bo4bobo$103bob2o11bo$105b2o2b2o5b2o$103bobo2bo7b2o$104b3obo2bo8bo$104b
2o2bo11bo$94b2o10bo3bobo2bob3o$108bo2bobo5bo$109b2o6b2ob2o$108bo2bo10b
o$107bo10b4o$108bo12bobobo$96b2o$107bo3bo13b2o$108bob2o14bo$109bob2o10b
3o$109bob2o8bo2b2o$109bob2o10bobo$98b2o10bo2bo10bo$109bo13bo4bo$106b2o
2bo4bo6bo3bo$106bob5obo10bo$109bob3obo7b2o2b2o$109bo3b2o7bo3b2o$100b2o
5bo5bo2bo6bobobo$109bo2bobo13b2o$108bo21b2o$126b2obo2bo$108b2o15b5o3b
o$108bo5bo$102b2o10bo11bo5b2o$110b2o2bo10bo7bo$113b2o9b2obo2bo2bo$110b
o6bo7bo3bo3bo$116bo8bo3b2o$111b2o$104b2o3b2o18bobo4bo$110bobo3bo$115b
o13bo$130bo$109bo4bo14b3o$117bo15bo$106b2obo6bo13b4o$117bo13bobobo$110b
2o17bo2bo2bo$122b3o4bo3b2obo$123bobo2b2o5bo$123bobobo2bob2o$123b2obo5b
2o$125b2o2bo2bo4bo$125b2o$125bo4bo$124bo2b2obo$123bobobobo$124bobobob
o$124bo5b2o$127bo2bo2bo$126bo4bo$126bobo$124bobob2obo2bo$125b2obo2bo3b
o$125b2o3bo3bo$125bo10bo$124bo7b4o$127bo5b2o$124b2o4bo2bo$126bo3bo$122b
obo8bo$126bo$123b2o$124bobo$126bobo$127bobo2$130b2o$130bo2$130bobo$133b
o$130bobo$132bo$134bo$130bobo2bo$133b2o$131bo2b2o$132b2obo$132bobobo$
131bobobo$133bo!

[Katrina]

(4, 2)c/4 spaceship according to square grid.
edit: it's p2 photon on hex

Code: Select all

x = 22, y = 25, rule = B01/S0235H
4b2ob2ob2o$6bo3bo$3b2obob2obob2o$5b3o2b4o$3bob3o4b3obo$6bo7bo$10b2obo$
b2o2bob3o2bo4bo$4bob4ob2obo2b3o$2obob2obo4bo2bobo$4bob2obo3bobo3bobo$
2bobobo5bobo2bobo$o3bo3bo2bo2bobo$3bobob2obo2bobo$4bo2bobo2bo2bo5bo$b
2obobobo2bo2bobo2bo$3bo6b2obo$4bo2bo2bobo$bo2bobo2bo2bo5bo$8bob2o4bo$
9b5o$4bo4bo3$10bo4bo!