## Outer-totalistic hexagonal rules with spaceships

For discussion of other cellular automata.
May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

3 spaceships in B024/S023H:

Code: Select all

``````x = 99, y = 99, rule = B024/S023H
41b3o3bo\$41bobo2bo2b2o\$41b6o2bo\$41bob3ob2o\$42bobob2o2bo\$40b4o3b4o\$41b
3o4bobo\$40bo2b2o2b4o\$40b2ob2obob7o2bo\$40b4ob7obo2b2o\$41b13obo\$44b6obob
3o2bo\$42b2ob6o3bob2o\$43b7o5b2o\$44b2ob2ob2o2b3o\$45b2ob6ob4o\$46bob2o2b3o
bobo\$48b3ob2ob4o\$49b3obo2\$21bob2o\$21b2obo\$20b3obo\$23bo7bo\$25bo2bobo\$
24b2o3bo\$24b2o2\$24bobo2b2o\$24b3obobobo2bo\$25b2obo2b4ob4o\$23b2o3b2o3b8o
\$24bo7bob5obo\$29b3ob4ob5o\$29b2o2bobob7o\$31bob8o2b2o\$30b11obobo\$30bob9o
b5o\$32b9obobob2o\$31b10obobo2bo\$5bo2bo23b3ob6ob3obo\$bob4obo24b4o3bob2o
2bo2b2o\$bo3bobob2o23b3o5b2obo2bobo\$2obob2ob4o23b3obo5b4o3bo\$b7o3bo24b
5o5b3o2bobo\$5bobo2b2o25bo2b2o5bo2bob3o\$5b3o3bo26b3ob2obo2b6o\$6b2o32bo
2b4o3b6o\$41bo2b2ob5ob2o2bo\$42b3ob5o2b2o2b2o\$42b5ob4o2b3o\$43b4o2bo3bobo
4bo\$44bob3o6b3o\$45b4o8bobo\$46b3ob3o2bobo2bo\$47b3o2bo3b2ob2o\$48b6o2bo2b
2o\$53b2o3b2obo\$53b2o6b2o\$51b2ob2o9bo\$51bo2bo2bo7b2o\$52b3o3bo6b3o\$64bob
obo\$59bo4bo2b2o\$59b2obobob3o\$60b4o3bobo\$61bob5obo\$62b2o2b3obo\$64b5o\$
65bobo3bo\$66bo2bobob5o\$67b3ob8o\$72bob2o\$71bo4b2obo\$72b2obobobob2o\$71b
2o3bobob2obo\$72b2o2bob6o\$71b2obo3bo3bo\$72b2o5b3obob2o\$73bo4b6o\$76b2ob
3obo3bo\$75bo3bo2b2o\$76bobo\$84bo\$85bo2bo\$78bo6bo2b2o\$78b3o4b2o2bo\$79b2o
b2obobobo\$82b2o4bo\$90bo\$92bo\$94b4o\$92bob5o\$93bo\$92b2o\$93bo\$93bo\$92b2o\$
93bo!
``````
Yet another speed in B256/S256H (c/6 orthogonal):

Code: Select all

``````x = 49, y = 49, rule = B256/S256H
3bo\$3b3o\$4bo\$o3b2obo\$obobob2o\$3b3o2bo\$2bobob3o\$3bo4b2o\$5b2obo\$5bob2o3b
obo\$9bobo\$7b6o\$8bo2bobo2\$9bo2b2o3b2o\$16bob2o\$14b3ob2o\$20bo\$15bo2b2o\$
15b3ob2o\$14b5o6b2o\$16bob2obo3bo2bo\$19b2obob2o2bo\$19bobo6bo\$22b2o4bo\$
21b2o5bob2o\$23bo3b2obo\$22b2o4bo\$22b2o2bob2obo\$22b2ob2o2bobo2b2o\$24bob
2o2bo4bo\$23b2obo3b2o\$24b2obo3bo3b2o\$26bo2bo7bo\$27b2o8bo\$27b2ob2ob2o3bo
\$28bo2bo3b6o\$28bobo5b2o\$33bo4bobo\$35bo2b2o2b2ob2o\$34bo3b3o2b2o\$37bobo
2bo\$45bo\$37bo6bob2o\$38bob2o6bo\$40bobo2b2o\$39bo3b3o\$41bo2bo\$47b2o!
``````
Updated database with 264 gliders:
hex-gliders.db.txt
264 hexagonal spaceships, including new knightship
Edit: there are currently 2 rules with 10 known speeds: B2/S245H and B256/S256H. Record for B0H rules is 7 speeds in B01345/SH or B0123456/S024H.
Edit 2: 6 new spaceships, including a natural 2c/4 orthogonal spaceship (p2 might be impossible):

Code: Select all

``````x = 190, y = 23, rule = B024/S0123H
bo41bo38bo2b2o30bo32b2o32b2o\$bo42bo4bo33b3o30b4o31bo28b7o\$bo38b4ob3ob
2o29bo36b2obo31b2o26b2ob5o\$2o39b3o2bobo32bo34b2ob2o31b2o28bob5o\$42bo4b
2o32bo34bo2b2obo27b2ob2o28b7o\$44bobobo31b2o6bo5bo21bo4b2o27b2ob4o26b7o
\$45b2o2bo30bo7b2o5bo20b2o2b2obo28bo2b2o27b2ob2o\$43bob4obo37b2o4b3o21b
2o2b2obo27b2o2b2o27bobo\$42bo3b7o32b3ob2o4b2o15bobo3b2obob3o27b2o3bo28b
2o\$47bob5o32b5o3bo15b2o2b2obo4b2obo61b2o\$48bo2b2obo33b2obo2b4o12b2o3b
3o5b3o\$48b6o36b3obobobo12bobob2o\$49b3ob3o35b2ob6o13b4o\$54b2o38bob4o14b
obo\$52b2obo29bobob6ob2o\$53b3o30b3obobo4b4o\$87b2ob5ob2obo2bo\$90bob6obo\$
91b3obo2bo\$92b2ob3o\$95bo2\$96bo!
``````
Edit 3: addition to the database, including several c/5 orthogonal spaceships:

Code: Select all

``````:May13, 2023:B024/S123H:B024/S0123H:4:0:2:2:4:bo\$bo\$bo\$2o!
:May13, 2023:B024/S0123H:B024/S0123H:4/2:-1:1:16:16:3bo\$4bo4bo\$4ob3ob2o\$b3o2bobo\$2bo4b2o\$4bobobo\$5b2o2bo\$3bob4obo\$2bo3b7o\$7bob5o\$8bo2b2obo\$8b6o\$9b3ob3o\$14b2o\$12b2obo\$13b3o!
:May13, 2023:B024/S0123H:B024/S0123H:6:-2:2:23:23:2bo2b2o\$3b3o\$o\$bo\$bo\$2o6bo5bo\$o7b2o5bo\$8b2o4b3o\$5b3ob2o4b2o\$6b5o3bo\$8b2obo2b4o\$10b3obobobo\$11b2ob6o\$14bob4o\$5bobob6ob2o\$6b3obobo4b4o\$7b2ob5ob2obo2bo\$10bob6obo\$11b3obo2bo\$12b2ob3o\$15bo2\$16bo!
:May13, 2023:B024/S0123H:B024/S0123H:4/2:1:1:16:14:7bo\$6b4o\$7b2obo\$6b2ob2o\$6bo2b2obo\$6bo4b2o\$6b2o2b2obo\$8b2o2b2obo\$2bobo3b2obob3o\$2o2b2obo4b2obo\$2o3b3o5b3o\$bobob2o\$3b4o\$4bobo!
:May13, 2023:B024/S0123H:B024/S0123H:6:1:1:8:8:bo2\$2b2o\$bob2o\$ob4o\$b3obo\$2bobo2bo\$3bo!
:May13, 2023:B024/S0123H:B024/S0123H:8:1:1:8:8:2b3o\$4b2o\$b6o\$8o\$bob3obo\$2bob2obo\$3b3o\$4bo!
:May13, 2023:B26/S345H:B26/S345H:5:-1:1:16:16:2bo\$bo4bo\$obobobo\$3bo2b2o2bo\$2bo\$5b3o3bo\$b3obobobo\$3bob3ob2o2bo\$10b3o\$6b2obo3bo\$3bo3b2o3bobo\$5bo2bo3bo\$8bob2o\$7bobo4bo\$10bo2bobo\$14b2o!
:May13, 2023:B2/S345H:B26/S3456H:5:-1:1:17:17:2bo2b2o\$bo5bobo\$obobo\$3bo2bo2bo\$2bo4bo\$o4b2o3b2o\$o2bob2o3bo\$bo2bo4bo2bo\$8bob2o\$bobo3bobo2bo\$5b2obo\$5bo2bo3bo\$7bobobo\$13b2o\$13bo2bo\$16bo\$14b2o!
:May13, 2023:B26/S34H:B26/S346H:5:-1:1:24:24:3bo\$2bo2bo\$bob2o\$ob2o\$2bo2b2o4bo\$bo2bo2bo2bo\$4bob4o3bo\$5b3o3bo\$6bobo2b3o\$6bo3b2ob3o\$5bo3bo2b2o\$4bo2b3obo2bo\$8bobo2bo3bo\$6bob3obo\$9bobo3b2obo\$9bo4b5o\$14b2ob2o\$12bo2b2obo\$14b4o2bo\$19b4o\$18b2o\$19bo3bo\$19bo3bo\$21b2o!
:May13, 2023:B26/S34H:B26/S34H:5:-1:1:18:18:3o\$o2b2obobobo\$o3b2o3b2o\$bo3bobo2bo\$b2obo5bo\$2b2ob2o4bo\$bo3bo4b4o\$3bo7bo\$bo9bo3bo\$2bo12bo\$b4obo10bo\$5b4o7bo\$6bo\$6bo2\$8b2o\$11bo\$10bo!
:May13, 2023:B24/S34H:B24/S346H:5:-1:1:19:19:3o\$3obobo\$2obobo\$2bo2bo\$bo2bo2bo\$2b2ob2obo\$bo3bo\$4bo4bo2bo\$5bo2b2obo\$7b3obo3bo\$12bo2bo\$8b2o2bo\$7bo2b2obo\$12bobo\$13b4o\$9b2o3bob2o\$14b3o\$15bo2bo\$17bo!
:May13, 2023:B246/S346H:B246/S346H:5:-1:1:18:18:4bo\$3bo\$2b5o\$b3obo2bo\$obobobobobo\$2b2ob4o3bo\$2bob2obobo\$5b2obo\$3b3obob2o\$6bobo\$4bo3bo\$11bo\$5bo7bo\$12bo\$15bo\$14bob2o\$15b2o\$15bobo!
:May13, 2023:B245/S34H:B245/S34H:5:-1:1:5:5:3o\$obo\$3obo\$3bo\$2bo!
:May13, 2023:B245/S346H:B2456/S346H:5:-1:1:22:19:3o\$2o\$3o2b2o\$2bo2b2obo\$3b5o\$3bo2bo2b2o\$10bo2\$10bo\$13b2o\$13bo\$12bo2bo\$13b2o\$12b2o2bo2\$18b2o\$18bo2bo2\$19bo!
:May13, 2023:B2456/S34H:B2456/S346H:5:-1:1:8:8:3o\$2o\$o5bo\$3bo2bo\$6b2o\$5b2o\$2b5o\$4bo!
:Hunting, 2020:B2/S034H:B26/S034H:4:-1:1:7:7:2b2o\$2b2o\$2o2b2o\$2o2bobo\$2b3o\$2bo2bo\$3bo!
:May13, 2023:B2/S345H:B2/S345H:4:-2:2:16:18:3bo\$3o\$2obobo\$2b2o\$bobo\$3bobo\$2b2obo\$6b2o\$4bo\$9bo\$7bobo\$9b2o\$11bo\$10bo\$10bob2o2\$11bo3bo\$13bo!
``````
c/5 orthogonal spaceships are known for every rule B2(456)/S3(456).
Edit 4: added c/5 orthogonal spaceship from Naszvadi's post and c/4 orthogonal spaceship (reduced version) from Hunting's post.
yujh discovered a 2c/4 orthogonal spaceship in B2/S345H, but I found a smaller spaceship (now it's the Glider 282).
So there are 282 known gliders.
Edit 5: 5 spaceships in B2/S25H and 2 c/3 diagonal spaceships:

Code: Select all

``````:May13, 2023:B2/S25H:B26/S256H:4:-2:2:10:10:5bo\$4b2obo\$4bo4bo\$8bo\$b2o3bo\$2o3bo\$4bo\$bo\$3bo4bo\$2bo!
:May13, 2023:B2/S2H:B26/S256H:3:-1:1:18:18:2b2o\$2bo3bo\$2o4bo\$o2bo2bobo\$3bobobo\$bobobob2o\$3b2o2b2o\$5bo3b2o\$5bo3bobo\$10bo\$7bo2bo\$7bobobo\$11bo2bo\$14bo\$15bo\$13b2o\$15bo\$17bo!
:May13, 2023:B2/S25H:B2/S256H:5:1:1:17:17:10bo\$9bobo\$10bo3bo\$o6b4obo\$3bo2b2o5bo\$bo3b2o4bo3bo\$4bobobobo2b2obo\$9bo3bobo\$4bo5bo2bo\$b2ob2o6b2o\$3bobo4b3o\$5b3o3bo\$7b2obo\$6bo5bo\$7bo\$7bo3bo\$13bo!
:May13, 2023:B2/S2H:B26/S256H:4/2:-1:1:26:28:9bo\$5bob2o2bo\$4bo4bobo\$4b2o\$3b3ob3o3bo\$2bobobo4bo2bo\$bo6bobo2b2o\$2o5b3obo\$b2o2b2o3bo\$bo2bo3b2obo\$2bo7bo\$2bob2o4b2obo6bo\$5bo7bo4bo3bo\$8bo3bobobo2bobobo\$13bo7b3o\$7bo9bo3bo2b2o\$15bo3bobob3o\$14b2obo5bobo\$13bo2b2o\$12bob2o7bo\$12b2ob2o\$15bo2bo\$12bobobo2bo2\$14b2ob2o2\$16b4o\$18bo!
:May13, 2023:B2/S25H:B2/S256H:5:-1:1:28:28:6b3o\$6b2o\$6bo2\$7bo\$9bobo\$3o5bobo\$2o2bo4bo3bo\$o5bo2b2obobo\$5bob2obobo4bo\$6bob2o5b2o2bo\$5bo10bobo\$8b2o8bo\$7bo9b4o\$8bo8bobo\$10bo5b3obobo\$10b2o3bobo5bo\$9bo3b4o6bo\$11b3obo3bo6bo\$10bo2b2o3bo\$13bobo11bo2\$15bo\$16b2o3\$18bo\$20bo!
:May13, 2023:B26/S02H:B26/S026H:3:1:1:23:23:14bo\$8b2obobobo\$10bob3obo\$10bo2b3o\$11bo\$5b2o3b3o2bo\$7b2o2bob4o3bo\$13b2ob2obobo\$6bobo2b2ob3o2b2obo\$4bo2bo2bo2bob2o2b3o\$6b2obo2bobo2bo2bo\$2b2o2bob2obo2bob3o2bo\$4bo4b2o2bo3bob2o\$2b2ob2obob3o8bo\$2o3bo2b2obo2bobo4bo\$4bo2bo4b2o2bo\$9bob2obo2bo\$2bob2o2b2o7bo\$5bobo2bo2bo\$9bobo\$5bo3bobo\$8bo\$8bo!
:May13, 2023:B2/S02H:B2/S026H:3:1:1:25:25:11bobo\$11bob2o2\$13b2o\$4bobo6bo\$4bob2o8bobo\$bo10b3o3b2o\$2bo3b2o7bobo\$3bo12bo2bo\$3bobobo3bobo3bo\$4bo4bobo2bo3bo2bobo\$bo3bo4b2obobo2bob2ob2o\$2b2ob3o2bobo5bo\$2ob2obob2obob3o7b2o\$2b3o2bo2bob2o\$9bobo2bo\$3bo2bobo2bo\$5b2o3bobo2bobobo\$4bob3o2b2o4bob2o\$2bo2bobo4b2obo\$6bo3b2o2bo4b2o\$8bob3o2b2o\$5bo4bobo4bo\$11bobo4bo\$11bo!
``````
2c/5 orthogonal and c/6 diagonal partials:

Code: Select all

``````x = 150, y = 78, rule = B2/S25H
4bo133bobobo\$4b3o132bo2bo\$4b3o130bo5bo\$5bo130b3o5b2o\$3o129bo4bo2b4o2bo
\$b3obobo123b2o5bob4o2bo\$b2o5b4o120bobo2b9obo\$5bo2b2o3b2o114bob3obobo2b
2ob3o2b2o\$6b2o8bo111b4ob3obo3b5o\$6b2o7bo114bobob2ob2o3b4o3bo\$6bo8bob2o
109b2obobobo2bo4bo4bo\$6bo10bob2o116bob2o2b2obo2bo\$16bo4b3o105b4o4b2ob
4ob3o\$7bo9b2o4bo106bo2b2obo9bo\$7bo8bo2bo4bobo105bobo4b4o\$9b2o5bo2b2o5b
2o101bo3b4o3b2obo\$8bo3bob2o2bob2obo4bo105bobo2bob2o\$10b2obo7bo2b2o2b2o
102bo2bobo2bob4o\$10bo2bo2bobo5b2ob2o94bo3bo2bo6bobob2obo\$11bo2b2o4bo5b
2o97b7o4b2o2b2o\$11bo3b2o2bo4bo3b2o88b2o2bo2b6o3bo2bobob2o\$12bo3b2o5bob
2ob2o90b2ob2o2b4o8bobo\$12bo10bobob2o3bo85bo3b2o3b5o\$12b2o2bo4b2o2bo2b
2ob2o82bobo2bo4b2o2b2o\$14bo2b2obo4b2o3b2o88b3obobo2b2o\$17b2o2b4ob2o7bo
bo80bo6bo2bo\$14b2o3bobo2b3o4bo3b3o76b2o2bo8b2o2bo\$15bo2b2o2bo2bo4bobo
5bo72bo3bobobo2bo2bobobo\$16b3ob4o8b2ob2o76bo2b6o3bo2bo\$17bo2b2obo7bo7b
2o66bob2o3bobo4bo3b2obo\$24bo2bo7bo3bobo66bo3b2obo5b2o6bo\$23b2obo2bo2b
2o4bobo66b2obobob2ob2o2bob2o2bobo\$22b2o3b2o2bo2bobob4obo61bo5bo2b3obo
2b2o3bo\$28bo2bo2bobobo3bo66b2o3bo2bo2b2o\$32b3o3bo5bo58bo7bo3bob3o2b2o
2bo\$25b2obobo5bo2bo7bo55b5obo2bo3b3obo2bo\$26bobo3b2obobo4bob2o54b2o2bo
5bo8bobo\$25b2o9bo2bo3b2obo3bo51b2obob2o5bo3b2o\$27bo3b4o4bo3bo2b2o62b2o
3bobo4bo\$29b2obo2bob3o5bobo57b5obobo2bobobo\$29bob2o9b4obo56b2obob2o3bo
bo3bo\$30bobo10b2o6bo52bo5bobo5b2o\$33bo2bo3bo8b3o3bo49bo3b2obobo3bobo\$
32bo4b2ob2o7b3o2b4o48bo3bo3bo\$34bob2o2b2o9b2obo52bob2obobo2bo\$36bo2b2o
9bo2bob2obo49b2o3b2o\$37b2o10bobobobobob2o51bob2o\$35bo2b3o7bo4bobo2bobo
51bo\$47b2o2bobo2b3ob2o51bo\$42b2o2bo2b2o4b2o4bo51bo\$37bo4b2obo3bobo2bob
2o2b3o\$41b4obobobo2b3o4b4o\$44bo10b3o\$45b4o2bo3bobo5b2obo\$43b2o5b2o3bo
2bo5bo\$42b2ob3obob4o2bo2bob5obo\$43bobo2b3obo4b3o2b2ob6o\$43bo2bobobob2o
b2o2bob3o3bo\$45bob2o5bobo4bo7b3o\$46bo9b2o3b2o4bo5bo\$46b3ob2o3bo5bo2b3o
3b2ob2o\$48b4o5b4obobo4bo2bobo\$50b2o3b3obobobo2bo2bo2bob2o\$51bobob3o4bo
3bo2bo4bo\$53b3o4b2o7bobo2b2o\$55b2o3bo6b2o3b3obo\$53bob2o3bob2o6bobo\$56b
2obo5bo2bobo2b2o2bo\$55b2o8bobo2bo3bo\$56bobo2b4o6bo3bo\$56bobobo5b3o2b3o
bo\$58bobo3bo4b5obo\$61b2o2b2o3b3o\$59b2o4bobo2b2o\$60b6ob2o\$62bobo4b3o\$
65bo\$67bo!
``````
Edit 6: Glider 290, endemic c/5 orthogonal spaceship:

Code: Select all

``````:May13, 2023:B236/S36H:B236/S36H:5:-1:1:52:52:7bobo\$5b2ob2o\$3bob3ob3o\$2bo3b2o\$4bob3obo2bo\$b2o2b2o5bo\$b5o\$ob3o3b2o\$bo2bo2b2o\$3o4bobo2bo\$2bobo7bobo\$2bo8bobo2bo\$5bo3b2o2bo\$4bo6b2o4b2o\$10bo3bo2b2o\$18bobo\$11bo6b3o\$13b2o3b5o\$13b7obob2o\$16b3o2b3o\$15b3o2bo4bo\$17b3ob2o\$17bobobob2obobo\$18b2o2b2ob6o\$18bo3bobo2b2o\$20bo2bobo2bo3bobo\$22b2o7b2obo\$23b2o3bo3bobobo\$22b4ob2obobob2o\$23bo5bobobobo2bo\$23bo4bo8bo\$26bo2bo2bo\$25b4o2bobo2bo\$29bo2bo\$25b4o7bo2bo\$28b2o6b4o\$27bo4bob2ob3obo\$30bo4b3o\$29bo5b2o3bo\$34b3o2bo2b2o\$38bob3o\$36bo3b2o2bo\$39b2o2bo3bo\$39bo2b4o\$41bob2o3b2o\$43bobo2b2o\$48bo2bo\$42bo7b2o\$44b3o\$44b2o\$47bo\$46b2o!
``````
Edit 7 (09.01.2023): Glider 291, big endemic c/6 diagonal spaceship, inspired by c/6 diagonal spaceship in B2/S34H:

Code: Select all

``````:May13, 2023:B26/S34H:B26/S34H:6:1:1:90:90:75b3obo3b2o\$76b2o3bo4bo\$72b2o2b4o4bo2bo\$68bo2bo5bobobobo4bo\$63bo3bo2b2o3bo9bo\$68b3o2b2o4b4o4bobo\$62bobobo2bo2bobo2bo3bobo2bo2bo\$59bo4bo3b2o5b2o2b4obo\$60b2o9b2o2b2o3bob3obobo\$60b4obob3obobo7b2obo\$65bo2bobo11bobob2obo\$60b2o2b2o7bo13bo\$56bo2bobobo3bo15bo2b4o\$58bobo9bo2bo7b2o4b3o\$58bo5b4o2bo2bobo5b2o2bo3bo\$57bobo3bobo4b2ob2o8b2o\$56bo7b2o5bo2b3obobo3bo2bo\$50bobo5b4ob2obo2b3o9bobo3bo\$54bo2bobobo3b3o2bob3o5b2o3b2o\$48bobobo3bo2bo6bo2bob2ob3o2bo4b2o\$48bo3bo4bo6b3o2b2obo7bob3o\$49bo8bo2bo2bo14b2obobobo\$53bo5bo4bo2bo3bo3bobo2bo4bo\$47bob2o3bo5bo4b2o2b4o2bo7bo\$44bo3bo4b2o6bo2b3o2bobob3o2b3o\$49b3o6bobo4bob3o2b2obo2bo3b2o\$44b3ob3o10bo10bobo2bo2bo4bo\$45b5o6bo5bo17bo2bo\$46bo10bo3bobobo2bo2b2o4b2ob2o\$48b2o8bo5bobo5bo3bobob2o\$47b2obo6bo9bo2b3obo2bo4bo\$41bo9b2o3bo3bo3bo3bo3bo2b2o\$43bo5bo3bobobobobo7bobo2bo\$41bo3bo2bo3bo3bobo3bo7bo2bo3bo\$44b2obo4b2o3bo\$36bo2bo3bo2bobo5bo10b2o4bo\$38bo8b7obobo7bobo\$35b4obo2bo9bob2obo10b2obo\$28bobo5b2o4bo5bo4bo4bo5bo\$32bo3bobo2bobo2bo3bo2bo5bo3b2obo3bobo\$29bo4bob2o2bo2b3o7bo3bo2bob3obobo\$31bo9bobo2b3o2bob2obo2b2ob2obo3b2o\$43bo4bo4bobo3bo2bo3bo\$32b4o4bo3b3obobo3bo6b3o\$30b2o2b2o3bo2bob3o2bo5b2o5b2o\$29b2ob2o4bo4b4o2bo5bo7bobo\$28bobo5bo5b3o2b4obobo2bo\$22bo6b3o9b3obo5bo\$24bo4bo5bo4b3o5bobo5bobo\$22bobobob2ob2ob2obob3o4bo2bo2bo\$21b2o2bo6bo3bob3o4bo8bo\$21bo2bobobo8b3o4bo5bob2o\$18bobo3b2o7bo2b3obo8bob2o\$17bo2bob4o2bo2bobob3obo3bo5b4obo\$15bobo8bob2o2bob3o3b2o3b2o5bo\$14bo2bob3obobo2bob2ob3o4bo4b2o2bo\$23bobo3bo2b3ob2o6bobo\$14bo5bobo4bobob3obo3b2o3bobo3bo\$15b2o2bo10b3obobo3bobo2bo2bo\$20bo6bob3o2bo7b4o5bo\$11bo3bo7b2obo3bob2obo4b3obo4bo\$19bo6b2o6b3obobo2bo7bo\$14b2obob3obob4obobo\$8bo4bo2bo8bob3o5bo2bobo\$9b2o4bo2b2o4b4o5b2ob2obo\$14bob2o4b4o3bo6b3ob2o\$5bo6bobo3bob2ob2o2bobo3b2obo\$5bobo2b2o3bo2b2o4bo7bo3bo2b2obo\$7bobo7bo2bo2bo3bo6bo3b2o\$5bo2bo2b2o3bo2b3obo3bo2bobobob2o\$6b3obo3bo4b2obo2bob2o2bo2bo\$7b3o7bo4b2obo11bo\$11bo5b2o2bo2bo2bo6b3o\$4b2o14bo3bobo4bo\$3bo5bo12bo2bobobobo3bo\$7b3o3bo5bo3b2o2bo4bobo\$11b4o11bo\$4bo2bo4b2o6bo2bo\$b2o3bo6bo3bo2bobo6bo\$3bo2bo12bo2bo2bo\$bobo2bobo5b2o2bo2bo3bo\$o3bo2b3o4bo3b3o5bo\$8bo3bobo3b2ob2o\$6bo2b3o7bo\$2b2o12bo3bob2o\$8bo3bo3bo\$5bo3b2o4bo\$5bo5bo\$9bobo\$8bo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

Second known (2,1)c/5 knightship and variant with tagalong:

Code: Select all

``````x = 118, y = 131, rule = B25/S25H
4bo59bo\$2ob3o54b2ob3o\$obo5bo51bobo5bo\$4bo4bo54bo4bo\$4bob2o56bob2o\$bo2b
o3bobo50bo2bo3bobo\$2bo3bobo3bo49bo3bobo3bo\$4bo3b2ob3o50bo3b2ob3o\$4bo8b
o50bo8bo\$2bobobob2obob2o47bobobob2obob2o\$4b3o5bobo49b3o5bobo\$4bo2bo2b
2ob2o49bo2bo2b2ob2o\$6b2o3bo2bo51b2o3bo2bo\$9b2o5bo52b2o5bo\$5bob2obob2ob
o49bob2obob2obo\$9bo5bob2o50bo5bob2o\$5bo3b2o5bobo46bo3b2o5bobo\$10b4o4bo
51b4o4bo\$11bo2bo2bo53bo2bo2bo\$15bo3bo55bo3bo\$11bobo4bo52bobo4bo\$13b2o
3bo3bo50b2o3bo3bo\$11bobo2bo2bo51bobo2bo2bo\$11bo3b2o2b2obo48bo3b2o2b2ob
o\$15bo59bo\$12b2o2b3o2bo2bo47b2o2b3o2bo2bo\$10bo2b2o4b2o2bobo44bo2b2o4b
2o2bobo\$15bobo3bo3bo49bobo3bo3bo\$11bo2b2o2b4obobo45bo2b2o2b4obobo\$16bo
2bo2bobo51bo2bo2bobo\$13b2obobo3b2obo47b2obobo3b2obo\$18bobobo2bo52bobob
o2bo\$17bo2bo4b3o49bo2bo4b3o\$15bobob2o3bo50bobob2o3bo\$21bo3b2o54bo3b2o\$
17bobo4bo2b2o48bobo4bo2b2o\$15bo3bobo2bo50bo3bobo2bo\$16b2o3b2o3bo2bo46b
2o3b2o3bo2bo\$15bo3b2obo3b4o45bo3b2obo3b4o\$18bo6bo3b2o47bo6bo3b2o\$26bo
2bo56bo2bo\$16b2o3b2o53b2o3b2o\$18b2o2bo4bo50b2o2bo4bo\$19bo4bo3bobo48bo
4bo3bobo\$21bo6b3o50bo6b3o\$21b2o5bob2o49b2o5bob2o\$23bobo3bo53bobo3bo\$
21b3obo3b2o50b3obo3b2o\$20bo2b3o2b3o49bo2b3o2b3o\$27bo59bo\$22bo2b3o2b2o
50bo2b3o2b2o\$21bo2b2ob2o2bo2bo46bo2b2ob2o2bo2bo\$23bo4bo2b2ob2o47bo4bo
2b2ob2o\$23b3o3bo4b2ob2o44b3o3bo4b2ob2o\$23bo2b3o3bobo48bo2b3o3bobo\$24b
2ob2obo53b2ob2obo\$26b2obo2bo5bo47b2obo2bo5bo\$25bo3b2o3b2o49bo3b2o3b2o\$
26bo7bo51bo7bo\$24bo2bobo2bo2b3o46bo2bobo2bo2b3o\$25bo7bo51bo7bo\$33bo2b
2o55bo2b2o\$30bo5bo53bo5bo\$25b3o2bo54b3o2bo\$27b3o8bo48b3o8bo\$26bob3o2bo
52bob3o2bo\$29b2o5b2o2bo48b2o5b2o2bo\$29bo5bo4bo48bo5bo4bo\$27b3obo4bobo
48b3obo4bobo\$30b2obo4bobo49b2obo4bobo\$31bo7bo51bo7bo\$30bo2bob2o53bo2bo
b2o\$37bob2o56bob2o\$30bo6b2o2bo48bo6b2o2bo\$29b2obo3bo2bo49b2obo3bo2bo\$
30bo5bobo2bo48bo5bobo2bo\$32bo3bo2bo3bo48bo3bo2bo3bo\$31bob3ob2o3bo48bob
3ob2o3bo\$30bo10b2obo45bo10b2obo\$32bobo6bo50bobo6bo\$34bobob2o54bobob2o\$
33bo3bo2bo52bo3bo2bo\$32bo3b3obo51bo3b3obo\$32bo59bo\$31bo2bo2bo53bo2bo2b
o\$33bo2b2o2bo52bo2b2o2bo\$31bobo5bo2bo48bobo5bo2bo\$33bo3bobobobo49bo3bo
bobobo\$33b2o2bobo3bo49b2o2bobo3bo\$37bo2bo2bo53bo2bo2bo\$35b3o5bo51b3o5b
o\$38bo2b3o54bo2b3o\$36bo5b4o50bo5b4o\$36bob6ob3o48bob6ob3o\$37b2o2b3ob2o
50b2o2b3ob2o\$37bo2bo4bobo49bo2bo4bobo\$37bobo3b2o52bobo3b2o\$36bo3bo2b4o
49bo3bo2b4o\$37b3obobo3bo49b3obobo3bo\$37b2o7bo2bo47b2o7bo2bo\$38bo3bo3bo
bo49bo3bo3bobo\$38bo3bobo4bo48bo3bobo4bo\$39bob2o4bo51bob2o4bo\$42bo2b2o
55bo2b2o\$39b3ob3o53b3ob3o\$41b2obo56b2obo\$42bo59bo\$43b2o58b2o\$42bo2bo
56bo2bo2\$43bo2bo2bo53bo2bo2bo\$43b5o55b5o\$46b4o56b4o\$44bo5bo53bo5bo\$46b
2o4bo53b2o4bo\$52bo59bo\$51bobo57bobo\$105bo2bo\$107bobo\$105bobob2o\$109bob
o\$109b2o\$110b2obo\$110b2o3bo\$115b2o\$109bo5b2o\$109bo4bo2bo\$113bo\$109bo\$
110bo\$113bobobo!
``````
Updated database:
hex-gliders.db.txt
292 hexagonal spaceships
Edit: unfortunately, I found no c/6 diagonal spaceship in 80x80 box with "RLS diagonal width" 19 in rule B256/S256H (it's true orthogonal width) after 3+ days of searching. For example, it took less than a day to find a p5 knightship using ikpx2.
JSON file:

Code: Select all

``````{"config":{"width":80,"height":80,"period":6,"dx":1,"dy":1,"transform":"Id","symmetry":"D2\\","search_order":"Diagonal","new_state":"ChooseAlive","max_cell_count":null,"reduce_max":true,"rule_string":"MAPAzwDPDzAPMA8wDzAwAPAAzzAPMDAA8ADwAPAAwM/Az8DPAM8PMA8wDzAPMDAA8ADPMA8wMADwAPAA8ADAz8DPw","diagonal_width":19,"skip_subperiod":true,"skip_subsymmetry":false,"known_cells":[],"backjump":false},"conflicts":10100698624,"set_stack":[],"check_index":0,"timing":{"secs":280499,"nanos":45600000},"extra":{"max_partial":"x = 80, y = 80, rule = MAPAzwDPDzAPMA8wDzAwAPAAzzAPMDAA8ADwAPAAwM/Az8DPAM8PMA8wDzAPMDAA8ADPMA8wMADwAPAA8ADAz8DPw\n........o..oo...................................................................\$\n......oo..ooo...................................................................\$\n..oo..oo.o......................................................................\$\n..o.oo..o......o.o..............................................................\$\n...oo..o.ooo...oo...............................................................\$\n...o......o.oo..................................................................\$\n.oo.......o....oooo.............................................................\$\n.oo.o....oo.o...oo.o.o.o.o......................................................\$\no..o....ooo.ooo.o.o.o.o.........................................................\$\n..o.o..ooo.o.o..o.oooo...o......................................................\$\n.o..ooooo..o.oo...oo..o.........................................................\$\noo..o....oo.....oooo.o..........................................................\$\noo...o.oo....o.o...o..o.........................................................\$\n.....o..ooo.o.o..o..o.oo.o......................................................\$\n........o.o..oo...o..oo.o.o.....................................................\$\n...oo.o.....o..o......o..o.o....................................................\$\n....o.oooo.o......o.....ooo.....................................................\$\n...o..oo...o.o....o...o..o.o....................................................\$\n......o.oooo..o.oo..o.o.........o...............................................\$\n.......o.oooo...............o.oo................................................\$\n........oo...o....o.o....o...o.o................................................\$\n.......o.o.o..o..........o.o.o...o.oo...........................................\$\n........o.o.oooo.oo......o..o.o..o..............................................\$\n.......o.....o.........o..o..ooo...o............................................\$\n..............o.o.......oo...oo...o.............................................\$\n.......o.o...o.ooo..ooo.o.o.o...oo......o.......................................\$\n..............o.o......o.o.oo.ooo....o..........................................\$\n...............o.o...o....o.oo.o.ooo...o........................................\$\n...................o..o..ooo.oo..o..o..o.ooo....................................\$\n....................oo.oo..ooo.o...o.....o.ooo..................................\$\n...................o..ooo.o.o...o..o......o.o.o.................................\$\n...................oo..o..oo.o.....o......o..o..................................\$\n..................o......oo...o.o.oo.o...o.oo.o.................................\$\n.....................oo..o.oo........o...o....o.................................\$\n........................o..o....o....o..o..o...o................................\$\n.....................o.o...o.oooo...............................................\$\n.....................o......o.......o.o.o...o..o................................\$\n..........................o.....ooo..ooo....o.o.................................\$\n....................................oo...o..oo....o.oo..........................\$\n...........................oo........o..o.o.ooooo...oo..........................\$\n.........................o........o.o..o..o.......o.o...........................\$\n............................oo..oo....o..oo..o..oooo............................\$\n............................o.oo.......ooooo.oo..oo..o..........................\$\n............................oo..o.o.......ooo..ooo.ooo......o...................\$\n.............................oo.o...oooo...o......o.ooo....ooo..................\$\n.............................o.o......oo.oo..ooo.oo....o..o...o.................\$\n..............................o.oo...o.o..o..oooooo.o.ooo...oo..................\$\n..................................o.o..o...o.oo.o...o....o..oo..................\$\n.......................................o.o.o..ooo...oooo.o......................\$\n.........................................ooo.oo...o.oo...ooo..o...o.............\$\n......................................o.ooo.ooo..ooo.....oo.o.....o.............\$\n.........................................o.o......oo......o.ooo.................\$\n......................................ooo..oo.oooo..ooo..o...o.o..o.............\$\n......................................oo..ooo...oo..oo......oo..o...............\$\n............................................o.o.o...o...o.o.o.o....o............\$\n.............................................oo.o.........o.........o...........\$\n..............................................o.......o....o.o.o.o.o............\$\n...............................................oooo.o..........o.o.o.o..o.......\$\n.............................................o...ooo..oo.......oo.o...oooo......\$\n............................................o....o......o..oo.o.o.o.o...........\$\n...........................................oo.oo..oo.oo....o....oo.o...oo.oo.o..\$\n............................................o.oo...ooo..o....ooo....o.o.oo...oo.\$\n.............................................o...o.o..o....o.o.o.....oooo.o.o.oo\$\n....................................................o...ooo..oo..oo...o.oo..oo..\$\n.....................................................o....ooo...o....o.o......??\$\n........................................................oo..o..o.o..oo..o...????\$\n.................................................oo.o.....oo...o..ooo....o.?????\$\n......................................................o.oo..o.....o........?????\$\n.......................................................o...o.o...oo.o.oo..??????\$\n.........................................................o....o.oo...oo..???????\$\n..........................................................o..ooo....oo.o????????\$\n..........................................................o.o.o.o...o.o?????????\$\n.........................................................oo.oooo.o....??????????\$\n..........................................................o..o.o..o..???????????\$\n............................................................o.o.....????????????\$\n............................................................o.....??????????????\$\n..............................................................oo.???????????????\$\n............................................................oo.o.???????????????\$\n.............................................................oo.????????????????\$\n..............................................................o.????????????????!\n","max_partial_count":"740"}}
``````

Code: Select all

``````x = 80, y = 80, rule = B256/S256H
67b2o2bo\$67b3o2b2o\$70bob2o2b2o\$62bobo6bo2b2obo\$63b2o3b3obo2b2o\$66b2obo
6bo\$61b4o4bo7b2o\$54bobobobob2o3bob2o4bob2o\$57bobobobob3ob3o4bo2bo\$54bo
3b4obo2bobob3o2bobo\$57bo2b2o3b2obo2b5o2bo\$58bob4o5b2o4bo2b2o\$57bo2bo3b
obo4b2obo3b2o\$54bob2obo2bo2bobob3o2bo\$53bobob2o2bo3b2o2bobo\$52bobo2bo
6bo2bo5bob2o\$53b3o5bo6bob4obo\$52bobo2bo3bo4bobo3b2o2bo\$47bo9bobo2b2obo
2b4obo\$48b2obo15b4obo\$48bobo3bo4bobo4bo3b2o\$43b2obo3bobobo10bo2bobobo\$
46bo2bobo2bo6b2ob4obobo\$44bo3b3o2bo2bo9bo5bo\$45bo3b2o3b2o7bobo\$39bo6b
2o3bobobob3o2b3obo3bobo\$42bo4b3ob2obobo6bobo\$40bo3b3obob2obo4bo3bobo\$
36b3obo2bo2bo2b2ob3o2bo2bo\$34b3obo5bo3bob3o2b2ob2o\$33bobobo6bo2bo3bobo
b3o2bo\$34bo2bo6bo5bob2o2bo2b2o\$33bob2obo3bob2obobo3b2o6bo\$33bo4bo3bo8b
2obo2b2o\$32bo3bo2bo2bo4bo4bo2bo\$47b4obo3bobo\$32bo2bo3bobobo7bo6bo\$33bo
bo4b3o2b3o5bo\$26b2obo4b2o2bo3b2o\$26b2o3b5obobo2bo8b2o\$27bobo7bo2bo2bob
o8bo\$28b4o2bo2b2o2bo4b2o2b2o\$26bo2b2o2b2ob5o7b2obo\$19bo6b3ob3o2b3o7bob
o2b2o\$18b3o4b3obo6bo3b4o3bob2o\$17bo3bo2bo4b2ob3o2b2ob2o6bobo\$18b2o3b3o
bob6o2bo2bobo3b2obo\$18b2o2bo4bo3bob2obo3bo2bobo\$22bob4o3b3o2bobobo\$13b
o3bo2b3o3b2obo3b2ob3o\$13bo5bob2o5b3o2b3ob3obo\$17b3obo6b2o6bobo\$13bo2bo
bo3bo2b3o2b4ob2o2b3o\$15bo2b2o6b2o2b2o3b3o2b2o\$12bo4bobobobo3bo3bobobo\$
11bo9bo9bob2o\$12bobobobobo4bo7bo\$7bo2bobobobo10bob4o\$6b4o3bob2o7b2o2b
3o3bo\$11bobobobob2o2bo6bo4bo\$2bob2ob2o3bob2o4bo4b2ob2o2b2ob2o\$b2o3b2ob
obo4b3o4bo2b3o3b2obo\$2obobob4o5bobobo4bo2bobo3bo\$2b2o2b2obo3b2o2b2o2b
3o3bo\$8bobo4bo3b3o4bo\$7bo2b2o2bobo2bo2b2o\$6bo4b3o2bo3b2o5bob2o\$13bo5bo
2b2obo\$8b2obob2o3bobo3bo\$9b2o3b2obo4bo\$8bob2o4b3o2bo\$9bobo3bobobobo\$
14bob4ob2o\$13bo2bobo2bo\$17bobo\$19bo\$16b2o\$16bob2o\$17b2o\$17bo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

LaundryPizza03
Posts: 2326
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Outer-totalistic hexagonal rules with spaceships

Are these five c/4o glide-symmetric spaceships new? I'm pretty sure that these rules occur nowhere in the DB, but it's hard to verify.

Code: Select all

``````:LaundryPizza03, 2023:B01346/S23H:B01346/S023H:4/2:-1:0:5:5:b2o\$3o\$4o\$3bo\$4bo!
:LaundryPizza03, 2023:B0134/S23H:B0134/S23H:4/2:-1:1:20:21:o\$obo\$5obo2bo\$bo2b3obobo\$2b6o2bo\$2b6ob4o\$2bob3o2b5o\$2b2ob4obobobo\$2b2ob2obo2b2obo\$2b2o3b2o3b5o\$2b2o4bo3b2o2b2o\$5b3obo2b3o2bo\$5b5o3b2o3bo\$5b2o4b5o3bo\$6b3o4bobo3bo\$8b2ob3ob2o\$10bo2b3o\$9b3o\$11bo2\$13bo!
:LaundryPizza03, 2023:B0134/S023H:B0134/S023H:4/2:-1:1:25:25:4bo2bo\$4bobobo\$6bobo\$4b2ob2obo\$o4b3obob2o\$2o3bob2ob3o\$2ob3ob5o\$12obo\$2ob5o2b4obo\$4b4ob3o2b3o\$4b4o6bobo\$3bob3ob2o4bobo\$4bob4o5b3o\$5bob2o5b3o\$6bobo5bo2bo\$6b4o4bob2o\$8b6o2b2o4b2o\$10b4o6b5o\$12bob2o6b2o2\$16bo2\$17bo\$16bo\$16bobo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S23H:4/2:-1:1:38:39:6b2o\$6b3o\$6b3o\$5b2ob2o\$5bob5ob2o\$3bo5bob7o\$2o2b3o2bo3b4obo\$obo2b2o2b6ob3o\$4o2b2obob2ob4obo\$bob2ob14o\$7b2obo3b4ob2o\$4bo2b10ob2o\$7b3o3b2obobo\$5b5o2b9o\$4bobob2obo2b4ob3o\$4bob8obobo3bo2b3o\$5b13ob2ob4o\$5b6ob10ob3o\$5b5ob2ob2ob3ob5obo\$7bobo3b2ob5o2bo3b2o\$9b3ob2o2bobob5ob2o\$12b3o2b5ob4obo\$13bo3b2o4b2obo3bo\$17b3o2b6o2b2o\$16bo7b8o\$14b2ob3ob3obob2ob3o\$14b5o3b6o3b2obo\$15bo7b8ob2ob2o\$19bo4bob4o4bob2o\$19b2o3b3ob3ob2ob3o\$20bo3bo2b4obo3bo\$23bob6obo3bo\$23b6o3b2o\$25b2o6bo\$25b2o\$26bo2\$28b4o\$28b2obo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S023H:4/2:-1:1:32:31:6b3o\$6bob2o4b2o\$2b3o2b3o4b3o\$2b2o3b2o2bob4o\$3bo3bobobo2bo\$4bo2b3obo2b3o\$3ob2o3bo4b7o\$6o7bob4obo\$b2ob3o6b2ob2ob4o\$6bo6bob5ob3o\$13b3ob3ob2o\$4b5o6b6obo\$4bobob3o2bob8o\$2b3o2b7ob7obobo\$2bob2o4b5ob8ob2o\$2b4ob20o\$3b2ob4ob4ob9obo\$7b12ob8o\$5b3o2b8ob2ob3obob3o\$6b5ob6obob4obob4o\$8bo4b6ob6ob4o\$14b7ob3o3b3o\$9b3o3b7ob3o4b2o\$11b2o3b9o\$15b4o5b2o\$15b3obo\$15bo2bo\$16b4o\$18b2ob2o\$18bob3o\$19b2ob2o!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

LaundryPizza03 wrote:
January 11th, 2023, 6:12 pm
Are these five c/4o glide-symmetric spaceships new? I'm pretty sure that these rules occur nowhere in the DB, but it's hard to verify.

Code: Select all

``````:LaundryPizza03, 2023:B01346/S23H:B01346/S023H:4/2:-1:0:5:5:b2o\$3o\$4o\$3bo\$4bo!
:LaundryPizza03, 2023:B0134/S23H:B0134/S23H:4/2:-1:1:20:21:o\$obo\$5obo2bo\$bo2b3obobo\$2b6o2bo\$2b6ob4o\$2bob3o2b5o\$2b2ob4obobobo\$2b2ob2obo2b2obo\$2b2o3b2o3b5o\$2b2o4bo3b2o2b2o\$5b3obo2b3o2bo\$5b5o3b2o3bo\$5b2o4b5o3bo\$6b3o4bobo3bo\$8b2ob3ob2o\$10bo2b3o\$9b3o\$11bo2\$13bo!
:LaundryPizza03, 2023:B0134/S023H:B0134/S023H:4/2:-1:1:25:25:4bo2bo\$4bobobo\$6bobo\$4b2ob2obo\$o4b3obob2o\$2o3bob2ob3o\$2ob3ob5o\$12obo\$2ob5o2b4obo\$4b4ob3o2b3o\$4b4o6bobo\$3bob3ob2o4bobo\$4bob4o5b3o\$5bob2o5b3o\$6bobo5bo2bo\$6b4o4bob2o\$8b6o2b2o4b2o\$10b4o6b5o\$12bob2o6b2o2\$16bo2\$17bo\$16bo\$16bobo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S23H:4/2:-1:1:38:39:6b2o\$6b3o\$6b3o\$5b2ob2o\$5bob5ob2o\$3bo5bob7o\$2o2b3o2bo3b4obo\$obo2b2o2b6ob3o\$4o2b2obob2ob4obo\$bob2ob14o\$7b2obo3b4ob2o\$4bo2b10ob2o\$7b3o3b2obobo\$5b5o2b9o\$4bobob2obo2b4ob3o\$4bob8obobo3bo2b3o\$5b13ob2ob4o\$5b6ob10ob3o\$5b5ob2ob2ob3ob5obo\$7bobo3b2ob5o2bo3b2o\$9b3ob2o2bobob5ob2o\$12b3o2b5ob4obo\$13bo3b2o4b2obo3bo\$17b3o2b6o2b2o\$16bo7b8o\$14b2ob3ob3obob2ob3o\$14b5o3b6o3b2obo\$15bo7b8ob2ob2o\$19bo4bob4o4bob2o\$19b2o3b3ob3ob2ob3o\$20bo3bo2b4obo3bo\$23bob6obo3bo\$23b6o3b2o\$25b2o6bo\$25b2o\$26bo2\$28b4o\$28b2obo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S023H:4/2:-1:1:32:31:6b3o\$6bob2o4b2o\$2b3o2b3o4b3o\$2b2o3b2o2bob4o\$3bo3bobobo2bo\$4bo2b3obo2b3o\$3ob2o3bo4b7o\$6o7bob4obo\$b2ob3o6b2ob2ob4o\$6bo6bob5ob3o\$13b3ob3ob2o\$4b5o6b6obo\$4bobob3o2bob8o\$2b3o2b7ob7obobo\$2bob2o4b5ob8ob2o\$2b4ob20o\$3b2ob4ob4ob9obo\$7b12ob8o\$5b3o2b8ob2ob3obob3o\$6b5ob6obob4obob4o\$8bo4b6ob6ob4o\$14b7ob3o3b3o\$9b3o3b7ob3o4b2o\$11b2o3b9o\$15b4o5b2o\$15b3obo\$15bo2bo\$16b4o\$18b2ob2o\$18bob3o\$19b2ob2o!
``````
I checked these rules:

Code: Select all

``````\$ python new-glider.py
>>>B01346/S23H
No gliders are known.
>>>B0134/S23H
No gliders are known.
>>>B0134/S023H
No gliders are known.
>>>B01345/S23H
No gliders are known.
>>>B01345/S23H
No gliders are known.
``````
new-glider.py is programmed to show spaceships not only in the given B0 rule, but also in dual rule. For example:

Code: Select all

``````>>>B0123456/S0135H
#C Glider 208, c/2 orthogonal
#C Discovered by May13, 2022
#C
#C B0123456 S0123456 H
#C  X-X-X    -------
#C
x = 17, y = 17, rule = B024/SH
9bo\$6bobo\$5bo3bo\$9b3o\$5bo2bobobo\$2bobobo2bo3bo\$bo3bo3bo4bobo\$12bo\$bo2bo
8bo\$ob2ob2o\$3b2o8bo\$3bo\$4bo2bo\$5bo2bobo\$6bo2\$6bo!
``````
So these spaceships are new.
My discoveries:

Code: Select all

``````:May13, 2023:B25/S025H:B25/S025H:3:-1:1:54:54:2o\$obob2obo\$b2o2bo\$3bo\$bo2b2ob2o\$b2obo3bobo\$9b2o\$bo2bo3bo\$4b2ob3o\$6bob3o2bo\$5b2o2bo2b2o2bo\$17bo\$10bo3bo4bo\$9b2o3bobo3b3o\$12b3o5b2o\$15bo\$10bo2bo7b4o\$11bo11b2ob2o2\$12bo14b4o\$13b2o11bob2o\$13b2obo\$13bo2bo11b2o\$16b2o9bo\$16b2o9bobobo\$28bo2bo\$17bo2bo10b4o\$17bobo3b2o6bo\$19b2obo2bo8b3o\$19b2obobo\$19bo17b2ob2o\$24b4o11bo2bo\$26bo10bo2bo\$26bo6bobo2b5o\$26bobo7bobo2bo\$28bo4bob2o2b2o\$28bo5b3o3bo4b2o\$30bobo4bobo6b3o\$30bo2b2o3bobo2bo3b2o\$31bobobobo6bob2obo\$30bob2ob2obo5b2o2bo\$30bo2b2o11bo3b2o\$31bobo16b2obo\$38bo13bo\$39b2o10bobo\$36bo3bo\$36b2obobo\$37b3o\$37b2obo\$39bo\$41b2o\$41b2obo\$43bo\$42bobo!
:May13, 2023:B2/S2H:B2/S256H:4:-2:2:27:27:7bo\$7b4o\$10bo\$5b2obo5bo\$6bo5bo\$3bo2bobobo\$3b4ob2obo\$2o5b3o\$bobob4o\$bo4b2ob2o\$b2o2bo3bo2bo\$6bo4bo\$4bo5bo\$13bo\$3bo11bo\$14bob3obo\$15bo3b2ob2o\$15bo6bob2o\$15bo5bob2o\$16bo8b2o\$15b2o5b3o\$18bo5b2o\$16b2o2bo\$16bobobo3bobo\$17b2ob2obobo\$17bobobo2bo\$19bo3bo!
``````
I'm about to find a p5 knightship in B256/S25H:

Code: Select all

``````#C depth = 245
#CLL state-numbering golly
x = 47, y = 154, rule = B256/S25h
2bo\$b3o\$6bo\$2bo\$2b4obo\$ob3obobo\$bob3obo2bo\$8bob3o\$2bobo4bo\$2bobobo
3b2o\$7bo3bo\$3b2o2bo4b2o\$6b2o4b3o\$2b3ob2o4b4o\$bo6b2obob2o\$7bo4bo4bo
\$3bo2b2obobobo\$4bo3bo3bo2bo2\$5bo8b2o\$4b2o4bo4bo\$7bo3bo2bob2o\$6bob
2o2b2o2b3o\$5bo2bo2bo\$5b2o2b2o8bo\$4bo4bo4bo\$5b2o4bo\$5b2obobo3bo\$5bo
bobob2o\$6b2o5bobo\$4b4o2b2o3b2o\$8b2o2bo\$6bo2bo6b2o\$6bobo2bo2bo\$6b2o
3b4o\$9b3obo3bo\$7bob2o3bo2bobo\$8b2ob2ob3o2bobo\$8bo5bob2o\$10bobo2bo
4bo\$16bobo\$13bob2obobobo\$18b3obo\$15bo3b2o\$12bo2bob2o\$15bo2b2o2bo\$
16b2o\$13bobo7bo\$15bob2obo2bo\$15bob2obo2bo\$14b2o3bo3bo\$13b2o5bobobo
\$12bo4b2o2bo3b2o\$12bo5bo2b2o4bo\$9bo2b4o4bob4obo\$8bo2b2o2b2obo2bo\$
10bo3bobo4bo2b2o\$9bo4b2o3bo2bo\$12bobo4b3o\$10bobo7b4o\$11b3o3bo3b2o\$
9bo5bobo3b2obo\$12b3obobobo3bo\$13bobo3bo5bo\$12bob2o2bo3bobo\$10bo2bo
2bo\$10bo4bo8bo\$13bo2bo4b2o\$11bo7b3o\$12bo8bo2bo\$16b2o4b3o\$12b3obo5b
o\$17b2o5bo\$14bob2obo\$13bo2bobo7bo\$12bo2bo2b2obob2o2bo\$14bo3bobo3b
2o\$16b2o7b3o\$15bo4bo5bo\$13bo2bobo8bo\$14bo2b2obo3b2o2bo\$21bobo3b2o
2\$19bo\$21bo3bo\$18bobo9bo\$26bo3bo\$21bobo2bo\$18bobobobo3b2o\$19bob2o
9bo\$23bo3b2o\$20bobo4bobo\$21b3o\$21b2o8bo\$25bo3bob3o\$24bo3bo\$25bo7bo
\$25bo\$24bob2o4b2o\$27bo4bo\$26bobo3bo\$24b4o5bobo\$30bo\$29bob2o\$26bo5b
o\$28bo3bo\$27bobo3bo\$31bo\$27bo2b3o\$26b2o4b4o\$27bo2bo\$27bo2bob2o\$27b
o4bobo2\$29b2o2bobo\$32bo\$30bo\$31bobo\$30bo3bob2o\$32bo\$31b2o2bo2bo\$
34bobo\$32bo2bo2b2o\$33bobo2bo\$34b2o2bo\$38b3o\$37bob2o\$32bob3o2bo\$34b
o2\$35bob3o\$34bo3bo\$33b2o\$32bo2b3obo\$41bo\$31b3o2bo3bo\$35b4obobo\$34b
2o\$36bo2bobo\$36b4o\$35bo3b3o\$37b2obo\$39b2o\$37bobo\$42bo\$38b2ob2o\$35b
2o4bobo\$34bobo2bo2bobo\$38b3o2bo\$44b2o\$40bo3bo\$42bo2bo\$45bo\$46bo!
``````
Edit: finally!

Code: Select all

``````#C completed spaceship: xq5_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
#C Catagolue URL: https://catagolue.hatsya.com/object/xq5_yzy64g852gzyzy6h4gaks0g8zyw24g81gd828g8qdc07102w1zyu14mol4kk74271031zyu4k012ib8h22zyt27c30632242zywi1ua04zyvgh422j8g188zyzs9cm15b4zyq8w44082l4412zypiv0gjl77gc054u8zyo5b35il0p9p6w1zye8gg48o0ca51g27426s8zy9ggxgg9k3673w90411gzy8kq8xc69530o8oik6ribzy5840c2kc92hfim0g8rg303hzy6hi04ok8wd54424c3lg81zy4a912c440s8g0o0g5vgazy51d1pa39p64kjc0oozy7109qa9058g40m85zyaig8h1pg2101zy0kkggwgi4b04gc6bijajw8zy14dg54jm6144q8nb15a36211zx11gkck1cb4doimckq952z0gi138013dghvg1a81z04aa94sg08g0kh6sgzcg3p29313mt0q08h422zwcab0hksgg3801ozy4111/b256s25h
#CLL state-numbering golly
x = 60, y = 191, rule = B256/S25h
2bo\$b3o\$6bo\$2bo\$2b4obo\$ob3obobo\$bob3obo2bo\$8bob3o\$2bobo4bo\$2bobobo
3b2o\$7bo3bo\$3b2o2bo4b2o\$6b2o4b3o\$2b3ob2o4b4o\$bo6b2obob2o\$7bo4bo4bo
\$3bo2b2obobobo\$4bo3bo3bo2bo2\$5bo8b2o\$4b2o4bo4bo\$7bo3bo2bob2o\$6bob
2o2b2o2b3o\$5bo2bo2bo\$5b2o2b2o8bo\$4bo4bo4bo\$5b2o4bo\$5b2obobo3bo\$5bo
bobob2o\$6b2o5bobo\$4b4o2b2o3b2o\$8b2o2bo\$6bo2bo6b2o\$6bobo2bo2bo\$6b2o
3b4o\$9b3obo3bo\$7bob2o3bo2bobo\$8b2ob2ob3o2bobo\$8bo5bob2o\$10bobo2bo
4bo\$16bobo\$13bob2obobobo\$18b3obo\$15bo3b2o\$12bo2bob2o\$15bo2b2o2bo\$
16b2o\$13bobo7bo\$15bob2obo2bo\$15bob2obo2bo\$14b2o3bo3bo\$13b2o5bobobo
\$12bo4b2o2bo3b2o\$12bo5bo2b2o4bo\$9bo2b4o4bob4obo\$8bo2b2o2b2obo2bo\$
10bo3bobo4bo2b2o\$9bo4b2o3bo2bo\$12bobo4b3o\$10bobo7b4o\$11b3o3bo3b2o\$
9bo5bobo3b2obo\$12b3obobobo3bo\$13bobo3bo5bo\$12bob2o2bo3bobo\$10bo2bo
2bo\$10bo4bo8bo\$13bo2bo4b2o\$11bo7b3o\$12bo8bo2bo\$16b2o4b3o\$12b3obo5b
o\$17b2o5bo\$14bob2obo\$13bo2bobo7bo\$12bo2bo2b2obob2o2bo\$14bo3bobo3b
2o\$16b2o7b3o\$15bo4bo5bo\$13bo2bobo8bo\$14bo2b2obo3b2o2bo\$21bobo3b2o
2\$19bo\$21bo3bo\$18bobo9bo\$26bo3bo\$21bobo2bo\$18bobobobo3b2o\$19bob2o
9bo\$23bo3b2o\$20bobo4bobo\$21b3o\$21b2o8bo\$25bo3bob3o\$24bo3bo\$25bo7bo
\$25bo\$24bob2o4b2o\$27bo4bo\$27bo4bo\$28bo4bobo\$26bo2b3o2\$26bo6bo\$28b
2o\$27b2obobobo\$29bo2b3o\$29b2obo\$34b2o\$30b2obo\$31bo4b2o\$29bob4o\$29b
o2bob4o2\$32b2o\$31bob2o\$31bo5b2obo\$36bo\$31bo6bo2bo\$33b2o5bo\$36b2obo
\$36bo\$34bo4b2o\$35bobo3bo\$34b3o3bo2bo\$36bo2\$39bo\$39b2o2\$37b2ob2o\$
37bo\$37bo3b2o\$40b2o\$36bo\$40b3o\$38b3o2b2o\$38bo2b2obo\$38bob2obo\$36b
2o2bo2b3o3\$34b2o3bo3bo\$35bo3bobobo\$34b2obo\$37bo\$36bobo2bo\$35bo2bo\$
34bo2b2obo\$36b3obo\$36b2o2bo\$42b2o\$36b2o2bo\$35b2o2bo\$36bob2o\$37bobo
\$36bo2bo2b2o\$37bo6bo\$37b5o\$37bo2\$37bo2b4o\$38b5o2bo\$38b2o3bo\$40b2o
2bo\$45b2o\$40bobo2bo2bo\$41bobo2b2o\$41b2o4bo\$43bo3bo\$49bo2\$49bo\$50bo
bo\$51bo\$52bo\$52bo\$50bo2bo\$49b2obobo\$53bo\$56bo\$49bo4bo\$50bobo4bo\$
49bob2o4bo\$51bob2o\$50bo\$52bo4bobo\$52bo2\$55bo!
``````
This is the Glider 300.
Update with 300 gliders:
hex-gliders.db.txt
300 hexagonal spaceships
Edit 2: I have a knightship in B25/S256H, but I will post it later due to temporary problems with Internet.
Edit 3: now I have no problems, here's this knightship:

Code: Select all

``````#C completed spaceship: xq5_yzyb824ca9kl6kzyzy68g024vj4262aw1zywgk5xgac4eogtg0d77245zyxq8020p2jck9gb13l1zypg0qwg08g0v09bli4d2202zyng9202182s80bq8k9173zyn14duq2isg1l0223131zyjgogg0jjh1mjq0czykai0133wu2g601zykhd8g4o2mrgazyfgib6kigmj05011zyfg29joak90q5808zye1o1ga6h2b4o8cl01zyeg122ugt41bw62zy9a0g017g111l4qc1zy8483as1hp21146ljub1azy949h125lwleosd1zy5g0gq43m4g09k0dm012zy2243ssqu8o70oo6421zwgg8i59866kt5qjhxhz0hk1626lw3vksiw33zn2l7612347jm42z02o78y12rcbn6az0dtsg384g0ail4h401z2c815a6n8phg22102zy14f22fckpckzy61
#C Catagolue URL: https://catagolue.hatsya.com/object/xq5_yzyb824ca9kl6kzyzy68g024vj4262aw1zywgk5xgac4eogtg0d77245zyxq8020p2jck9gb13l1zypg0qwg08g0v09bli4d2202zyng9202182s80bq8k9173zyn14duq2isg1l0223131zyjgogg0jjh1mjq0czykai0133wu2g601zykhd8g4o2mrgazyfgib6kigmj05011zyfg29joak90q5808zye1o1ga6h2b4o8cl01zyeg122ugt41bw62zy9a0g017g111l4qc1zy8483as1hp21146ljub1azy949h125lwleosd1zy5g0gq43m4g09k0dm012zy2243ssqu8o70oo6421zwgg8i59866kt5qjhxhz0hk1626lw3vksiw33zn2l7612347jm42z02o78y12rcbn6az0dtsg384g0ail4h401z2c815a6n8phg22102zy14f22fckpckzy61/b25s256h
#CLL state-numbering golly
x = 66, y = 185, rule = B25/S256h
6bo\$2b2ob3o\$2bobo5bo\$6bo4bo\$6bob2o\$3bo2bo3bobo\$3b2o3bobo3bo\$2bo3bo
2b2obo\$7bo4bo2bo\$3b3ob2o5bo\$4bo2bo4bo\$5bobo\$3b2o4b3o\$2bo3bo4bo2bo\$
bobo8b2o\$3b2o\$obo7bo5bo\$4bo7bo3bo\$2bo9b2obo\$3b2o8bo2bo\$5bo9bo\$2bob
2o6b3o\$3bo2b2o3bo\$2b2obo2b2o6bobo\$3bo3bo2b2obo3bo\$3b2obo8b2o\$7b2o
2bo4bo\$11b2o5bo\$7bo6bo\$5b2o6bo\$8bo4bo\$7b2o3bob2o\$7bo2bob2o2\$8b2o3b
2o\$9b2obo\$9bo5bo\$8b3obob2o\$8bo3bo4bo\$14bo3bo\$10b3o6bo\$9bo3bobo3bo\$
10bobobo2bo3bo\$10bob3o3b3o\$13b2o4bo\$15b2ob2o\$14bobobobo\$13bobo3bo\$
14bo4bobo\$15b2o\$15bo3b2o\$16b3o2bo\$20bo\$15bo2b2o2bo\$15b2o\$16b4o4bo\$
15bo3b4o\$14b3obob2o2bo\$14bo3bob2o\$16bo2b2obo2b2o\$16b2obo4bo\$14bobo
2bo6bo\$17b3o3bo2bo\$14bo2b3o2b3obo\$17bo9bo\$15b5o\$17bo2b2o2bob2o\$17b
obo2b3ob2o\$19bo3b2obobo\$19bobo2b2obo\$19bobo5bo\$20bo2bo\$22bo2bob2o\$
23bobo2bobo2\$20bo3b2obo2b2o\$24bo2b3o\$21bo2bo\$20bo2bo5bo\$19b7obo\$
26bobo\$20bobobo2bo\$21b2o3bo\$23bo3bo\$24bobobo\$24bobo2b2o\$22b2o5b3o\$
21bo4bo\$21bob2o3b2ob2o\$22b2o2bo\$21b2o2b2o3b2o\$24b2o3b3o\$22b2obob3o
\$23bo3b2o2bo\$31bobo\$26bobobobo\$25bob3o4bo\$23bo5bo\$26b2o2bo\$29bo\$
27bo\$25bob2o\$24b3ob4o2\$32bo\$26bo4b3o\$25bo\$25bo5bo3bo\$26b2o5bo\$33b
3o\$29b2o\$27bo2bo3bo\$32bobo\$30bobo\$28bo\$30b6o\$31b2o2b2o\$34b2o\$29bo
2bo\$28b3ob2o\$29bo4bo3b2o\$30bobo2bobo\$30bo6b3o\$30b2ob2ob3o\$31bobo3b
o\$30b2ob3ob2o\$30bobobo2bo\$35bob2o\$31b2o4bo\$38bo\$34bob2ob2o\$32b3o2b
ob2o\$34b4o2bo\$33bob4o3b2o\$39b2obo\$37b2o4b2o\$38bo4b2o\$38bobobo\$40b
2o2bo\$38b2o2bobo2\$39b2obo2bo\$38bo2bobob2o\$43b2o\$38bo7bo\$38bo2bo2b
3o\$39b3o2bo4bo\$39b2o2bo3bo\$39bo3bobo\$40bo7bo\$40b3obo2bo2bo\$40bo4bo
bobo\$43b2obob3obo\$45bo2bo2b2o\$45bobo2b2obo\$45bo4b2o\$48bo4bo\$48b2ob
2o\$48b2o2bo\$49bo4bo\$49bo\$51bo2bo\$52b2o\$51b2obo\$51bob2o2\$56bo\$53bo
2b2o\$56bobo\$54bobo\$58bo\$56b2o\$56bobo\$55b2o\$56b3obo\$55bobo3bo\$57b2o
\$61bo\$60b2o\$59b2o2bo\$60b2o\$59bo5bo\$62bobo\$65bo\$63bo!
``````
DB entry:

Code: Select all

``````:May13, 2023:B25/S256H:B25/S256H:5:-1:3:64:184:bo3b2o\$3o3bo\$6bo3bo\$6b2obo\$4b2o2b4o\$b3o3bob2obo\$b6o2bob2o\$2b3ob4o3b2o\$bobo3bob2o2bo\$2bo4bo3b2obo\$2bo3bo\$2bo2bo2b2o\$bo3bobo2bo\$o2b2o7bo\$3bo6b2obo\$ob2o8bo\$o9bo3bo\$3o8b2obobo\$3bo9bo\$b4o6b2o\$2b3o6bo3bo\$10bobobo\$2bo2b2o4b4o\$bo5b2ob2o\$4bo2bobobob2o2bo\$2b3o2bobo3b4o\$3bob2o2b3o2b2o\$6b2o2b3o3bo\$4b2o\$7bo3bobo\$11b2o\$5b3o2b2obo\$8bob5o\$6bo4bobo\$7bobobo\$9b2obobo\$10b3o\$6b2obo2bobo\$9b2o2b3obo\$8b5o3b3o\$8bob5o3bo\$12bo2bo\$9bob5o\$12bobobo3bo\$11bo\$12bo2bobo\$12bo2bob2o\$15bo2bobo\$12b2obo\$19bo\$14b2obob2o\$14b3o\$21bo\$13b3o3b2o\$22bo\$20bo\$14bo4bo2b2o\$12b2obo3bo2bo\$16b3o4bo\$15b2o2bo2b2o\$14bobobo3bo\$14b3ob2o\$13bo5bo2b5o\$15bo3bo3b3o\$13bo3bo4b2obo\$18bo6b2o\$19b2o5bo\$19bo\$18bo2bobob2o\$17b2o3bobob2o\$18bo5b2obo\$18bo4bo3bo\$20bo4b4o\$21bobob3o\$22bob2o2bobo\$22b2o2bobo\$19b2ob2ob2o2b2o\$19bob2obo\$19bo2bobo\$21bo2bo2bo\$18bo6bo\$22bobo2bo\$19b2o3bo\$22b2o2b2o\$23bo3bo\$21b2o3bo3bo\$20bo2b3o2bobo\$19bo3bo2b3o2bo\$20b3ob3o2bo\$22bo7b2o\$21bo2b3o3bo\$20bo2bo4bo2bo\$21b2obo3bo\$21b3ob2o4bo\$26bob3o\$24bo2bo5bo\$26bo2bo2bo\$24bobo\$27bo\$25bobobo\$25b3o\$24bo4bo\$25bo3bo\$24b2o2b2obo\$31b2o\$24bo7bo\$23bobo4b4o\$24bo6bo\$24b2o6bobo\$26b3o3bo\$28b2o2bobo\$28b2o2bo\$29bo2bobo\$30bobo\$28bo4bo\$28b2o2bo2bo\$29bo3bobo\$30bobobo\$28b5obo\$27bob3obo3bo\$27bo2b2ob2obo\$29b2o2bo2bo\$28bo2bo2bo\$32bob2o\$33b2o\$28b2o7bo2\$29bobobo3bo\$35b2o\$31b2o2bobo\$31bo2b3o2bo\$40bo\$31bo2bo3b2obo\$39bobo\$38bob4o\$36b4o3bo\$41b2obo\$39bo\$39bo\$39bo2bobo\$37bobobob2o\$37bobo2b4o\$38bo5b2o\$37bo3b3o\$36bo5bo\$37bo4b5o\$40bobo3bo\$37bo6bo\$38bo7b2o\$42b2ob2obo\$38bo3bob2o\$44bob3obo\$43bo\$44bo4bo\$43b2o2bo\$45b3obo2bo\$46b4o\$46bo2b4o\$49b3o\$49bo2bo\$53bo\$49bo2bo\$52bo\$49b2o2bo\$52b3o\$53b2o\$54b3o\$54bo2bo\$52b4o\$54bo2bo\$54bo\$54b3o\$55bo\$54bo2b2o\$58bobo\$59bo\$55b3o2bo\$57b2o\$59b2o\$58bo2bo\$60bo2bo\$59bobobo\$62bo\$61b3o!
``````
Edit 4: more spaceships:

Code: Select all

``````:May13, 2023:B2/S2H:B26/S26H:4/2:-2:2:25:25:8bo\$8b3obo\$10bo2bo\$6b2ob2o\$7bo4b3o\$7bo4b2o\$3bo2bo4bob2o\$3b3o5b4o\$2o13bo\$bobo3b3o2bo\$bo5bo7bo\$b2o2bobo5b2o\$6bo3bo4bo2b2o\$4bo2bo2bo6b3obo\$10bobo5b2o2bo\$3bo5bo7bob2obo\$11bo7bobobo\$13b2o4bob3o\$13b3o8bo\$13bo7bobo\$13bo4bo\$14bo2bo\$13bobo\$15b3o\$15bo4bo!
:May13, 2023:B26/S2H:B26/S26H:5:-1:1:28:28:6b3o\$6b2o\$6bo2\$7bo\$9bobo\$3o5bobo\$2o2bo4bo3bo\$o5bo2b2obobo\$5bob2obobo4bo\$6bob2o5b2o2bo\$5bo10bobo\$8b2o8bo\$7bo9b4o\$8bo8bobo\$10bo5b3obobo\$10b2o3bobo5bo\$9bo3b4o6bo\$11b3obo3bo6bo\$10bo2b2o3bo\$13bobo11bo2\$15bo\$16b2o3\$18bo\$20bo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

LaundryPizza03
Posts: 2326
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Outer-totalistic hexagonal rules with spaceships

May13 wrote:
January 12th, 2023, 3:44 am
LaundryPizza03 wrote:
January 11th, 2023, 6:12 pm
Are these five c/4o glide-symmetric spaceships new? I'm pretty sure that these rules occur nowhere in the DB, but it's hard to verify.

Code: Select all

``````:LaundryPizza03, 2023:B01346/S23H:B01346/S023H:4/2:-1:0:5:5:b2o\$3o\$4o\$3bo\$4bo!
:LaundryPizza03, 2023:B0134/S23H:B0134/S23H:4/2:-1:1:20:21:o\$obo\$5obo2bo\$bo2b3obobo\$2b6o2bo\$2b6ob4o\$2bob3o2b5o\$2b2ob4obobobo\$2b2ob2obo2b2obo\$2b2o3b2o3b5o\$2b2o4bo3b2o2b2o\$5b3obo2b3o2bo\$5b5o3b2o3bo\$5b2o4b5o3bo\$6b3o4bobo3bo\$8b2ob3ob2o\$10bo2b3o\$9b3o\$11bo2\$13bo!
:LaundryPizza03, 2023:B0134/S023H:B0134/S023H:4/2:-1:1:25:25:4bo2bo\$4bobobo\$6bobo\$4b2ob2obo\$o4b3obob2o\$2o3bob2ob3o\$2ob3ob5o\$12obo\$2ob5o2b4obo\$4b4ob3o2b3o\$4b4o6bobo\$3bob3ob2o4bobo\$4bob4o5b3o\$5bob2o5b3o\$6bobo5bo2bo\$6b4o4bob2o\$8b6o2b2o4b2o\$10b4o6b5o\$12bob2o6b2o2\$16bo2\$17bo\$16bo\$16bobo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S23H:4/2:-1:1:38:39:6b2o\$6b3o\$6b3o\$5b2ob2o\$5bob5ob2o\$3bo5bob7o\$2o2b3o2bo3b4obo\$obo2b2o2b6ob3o\$4o2b2obob2ob4obo\$bob2ob14o\$7b2obo3b4ob2o\$4bo2b10ob2o\$7b3o3b2obobo\$5b5o2b9o\$4bobob2obo2b4ob3o\$4bob8obobo3bo2b3o\$5b13ob2ob4o\$5b6ob10ob3o\$5b5ob2ob2ob3ob5obo\$7bobo3b2ob5o2bo3b2o\$9b3ob2o2bobob5ob2o\$12b3o2b5ob4obo\$13bo3b2o4b2obo3bo\$17b3o2b6o2b2o\$16bo7b8o\$14b2ob3ob3obob2ob3o\$14b5o3b6o3b2obo\$15bo7b8ob2ob2o\$19bo4bob4o4bob2o\$19b2o3b3ob3ob2ob3o\$20bo3bo2b4obo3bo\$23bob6obo3bo\$23b6o3b2o\$25b2o6bo\$25b2o\$26bo2\$28b4o\$28b2obo!
:LaundryPizza03, 2023:B01345/S23H:B01345/S023H:4/2:-1:1:32:31:6b3o\$6bob2o4b2o\$2b3o2b3o4b3o\$2b2o3b2o2bob4o\$3bo3bobobo2bo\$4bo2b3obo2b3o\$3ob2o3bo4b7o\$6o7bob4obo\$b2ob3o6b2ob2ob4o\$6bo6bob5ob3o\$13b3ob3ob2o\$4b5o6b6obo\$4bobob3o2bob8o\$2b3o2b7ob7obobo\$2bob2o4b5ob8ob2o\$2b4ob20o\$3b2ob4ob4ob9obo\$7b12ob8o\$5b3o2b8ob2ob3obob3o\$6b5ob6obob4obob4o\$8bo4b6ob6ob4o\$14b7ob3o3b3o\$9b3o3b7ob3o4b2o\$11b2o3b9o\$15b4o5b2o\$15b3obo\$15bo2bo\$16b4o\$18b2ob2o\$18bob3o\$19b2ob2o!
``````
I checked these rules:

Code: Select all

``````\$ python new-glider.py
>>>B01346/S23H
No gliders are known.
>>>B0134/S23H
No gliders are known.
>>>B0134/S023H
No gliders are known.
>>>B01345/S23H
No gliders are known.
>>>B01345/S23H
No gliders are known.
``````
new-glider.py is programmed to show spaceships not only in the given B0 rule, but also in dual rule. For example:

Code: Select all

``````>>>B0123456/S0135H
#C Glider 208, c/2 orthogonal
#C Discovered by May13, 2022
#C
#C B0123456 S0123456 H
#C  X-X-X    -------
#C
x = 17, y = 17, rule = B024/SH
9bo\$6bobo\$5bo3bo\$9b3o\$5bo2bobobo\$2bobobo2bo3bo\$bo3bo3bo4bobo\$12bo\$bo2bo
8bo\$ob2ob2o\$3b2o8bo\$3bo\$4bo2bo\$5bo2bobo\$6bo2\$6bo!
``````
What I mean is that my copy of new-glider.py fails to load hex-gliders.db.txt.

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

LaundryPizza03 wrote:
January 15th, 2023, 9:28 pm
What I mean is that my copy of new-glider.py fails to load hex-gliders.db.txt.
I think there are two reasons:
1. You need to rename hex-gliders.db.txt to hex-gliders.db.
2. Line 4 in new-glider.py is

Code: Select all

``````file="new-gliders.db" #Name of database
``````
This should be replaced with

Code: Select all

``````file="hex-gliders.db" #Name of database
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

LaundryPizza03
Posts: 2326
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Outer-totalistic hexagonal rules with spaceships

Wide c/3d partials:

Code: Select all

``````x = 22, y = 25, rule = B24/S02H
o\$bo\$2o\$2o2bo2bo\$2bo2b3o\$2bo2bo2bo\$3bo\$4b2o\$3bob4obo\$3bo4b2obo\$4b2o2b
2obo\$4b2o3b2ob2o\$6bob2obo4bo\$4b2obo4b5o\$5bob3o3b4obo\$9bo3bobob2o\$10bo
3bo4bo\$14b2ob5o\$12b6o\$13b2ob2obobo\$12bo5bobo\$12b4obob2o\$13bo3bo\$14bo3b
2obo\$16b2o3bo!
``````

Code: Select all

``````x = 34, y = 34, rule = B24/S2H
5bo\$4b2o\$o4bo\$2bo2bo2bo\$2o3b2o\$bo2b2o\$3bob3o\$3bob3o2bo\$6b2o2bo\$6bo2b3o
\$3b3obo3b2o\$3b2obobo3b3obo\$7bo8bo\$7bo2b2o3b3o\$8b2ob2o3b3o\$8bo3bo4b2o\$
9bobobo2b4o\$10b2o5bob2o\$10bobo2bobob2o\$11b2o4bo2bobobo\$13bo3bobo2bo\$
13bo3bo3b2ob3o\$13b2o2bob2ob3ob3o\$19bo6bo\$21bo3b2obo\$17bo\$17b3o6bobo4bo
\$20b2o4bo2b2o\$20bob2o3b3obo\$21b2o3bob4o\$23bo2bo2bo2bo\$24b2o4bo\$26bob3o
\$27bo!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

4 spaceships discovered by Catagolue user "JMM" in HighHexLife (c/5, c/11, c/15 and c/24 orthogonal):

Code: Select all

``````x = 66, y = 9, rule = B25/S34H
b3o21bob2o12bo20b3o\$3o18bo2bob2o12bo2bo18bo\$2ob2o18bo2bobo13bo3b2o12b
4o\$ob2o18bo18bo4bo13bob4o\$2bo3bo14bo25bo12bo2b2o\$20bo42bo\$4bo2bo13b2o
19b2o\$6bo13b2o20bobo\$20bobo!
``````
This user discovered several c/4 orthogonal spaceships, but I got a smaller one:

Code: Select all

``````x = 25, y = 25, rule = B25/S34H
5bo3bo\$7b4o\$9bobobo\$6b2o2b3o\$14bo\$b2o3b3o4bo\$obo2b3o\$2bo2bobobo\$2bo5bo
2bobo\$2b2ob2obobobobobo\$2b2obobo4b2o3bo\$b3o5bobo2b2o2b2o\$3b3o10bo4bo\$
10bo2b3o2bobo\$5bo5bo2b3obo3bo\$9b4o3bo5bo\$11b3ob2ob2o3bo\$12b3o2bo4bo\$
12b2o2bob3ob3o\$13bo3b3obo\$15b2o3bobo\$13bo5b4o\$18bo2bobo\$18bo\$21bo!
``````
Edit: 2c/6 orthogonal:

Code: Select all

``````x = 43, y = 42, rule = B25/S34H
6bo\$5bo2b3o\$6bob2o\$6bo2b3obo\$10b4o\$2b3o3b2o2bo\$bob2o5b2o\$o2b3o\$2b4o5bo
b2o2bo\$3bo2b2o2b2o3b3o\$3b2ob2o4b2ob3o\$4bo4bobo9bo\$5bo2bo6bo3bobobo\$10b
o3bo2b2o3bo\$12b2o8bo\$9b2o2bob2o6b2o\$9b4o9bob2o\$11bo6bo2bo\$16bo3bobo\$
13bo5bo5bobo\$13b2ob2o7bo\$15bo2bo5bo3bo\$14b2o4bo7bobo\$15bo3bo2bo4bob2ob
obo\$18b3obo8bo\$18bo2bob2o3bobob2obo\$31bobo\$21b5o7bo\$24bo10bobo\$35bo4bo
\$22bobo4bo7b2o\$23bo2bo10b2o2bo\$26bobo\$26b2o9bo\$27b2obo8bo\$40bobo2\$31b
4o\$30b2o4bo\$30bob4o2\$32bobo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

whatislife
Posts: 29
Joined: June 24th, 2023, 5:47 am

### Re: Outer-totalistic hexagonal rules with spaceships

Hey, those are my highhexlife ships! Here are the c/4 ships I found that didn't make it to catagolue, not very interesting:
https://catagolue.hatsya.com/object/xq4 ... 01/b25s34h
https://catagolue.hatsya.com/object/xq4 ... 01/b25s34h
https://catagolue.hatsya.com/object/xq4 ... s4/b25s34h
https://catagolue.hatsya.com/object/xq4 ... 13/b25s34h
https://catagolue.hatsya.com/object/xq4 ... 71/b25s34h
https://catagolue.hatsya.com/object/xq4 ... 04/b25s34h

But I'm really proud of these highhexlife puffers. I noticed one ship with a spark off to the side and found you can adjust positions and phasing to get all kinds of stuff. Here are examples with exhaust oscillators in periods 2, 3, and 4, plus one extra smoky configuration:

Code: Select all

```x = 128, y = 100, rule = B25/S34H 16\$99bo\$96b3o\$62bo33b2obobo\$59b3o36b2o\$59b2obobo32bobob2o\$61b2o40bo\$ 55b2o3bobob2o33b3o\$55b2obo7bo37bo\$55bobo4b3o30b3o3b3o\$54bob3obo6bo26b 4obo\$60bo3b3o29b2o\$56bobobobo32bo5bo3bo\$58bo3bo34bo3bo5bo\$59bo2bo5bo 30bobo5b2o\$61bo8bo29b2o\$65bo4b2o33bo2\$66b2o32bo\$67bo4\$36bo36bo\$35b2obo 33bo\$35b3o36bo\$35b3obo45bo\$82b3o\$36bo3bo41b2obobo\$30b3o8bo2bo39b2o\$29b 4obo3b4o41bobob2o\$31b2o48bo7bo\$30bo5bo43bo4b3o\$32bo3bo6bo38bo7bo\$34bob o5bo44b3o\$35b2o7bo\$40bo5bo\$39bo51bo\$35bo5bo5bo45bo\$89bo3b2o\$42bo45bo\$ 44bo45bo2\$50bobo\$49bo2bo43bobo\$52bo43bo2b2o\$49b3obo44bo\$52bobo42bob3o\$ 53bo47bo\$94b2o\$94b2obo\$94bobo\$58bobo32bob3obo\$59b2o38bo\$58b2ob2o32bobo bobo\$35bo24b2o7b3o25bo3bo\$32b3o25bobo5b3o2bo24bo2bo\$32b2obobo32bo2bo 26bo\$34b2o33bob2o2bo\$33bobob2o37bo\$28b2o9bo31bo2bo\$28b2obo3b3o29b2o7b 2o\$28bobo9bo26bobo6bo\$27bob3obo3b3o28b2o7bo\$33bo41b2o\$29bobobobo\$31bo 3bo5bo\$32bo2bo7bo\$34bo8b2o30bo\$38bo35bo2bo3b2o\$78bob2o\$39b2o34bo2bobo 2bo\$40bo36bo4bo! ```
b25s34h, b35s1368, b3s0246, b38s246

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

Welcome to the forums!
whatislife wrote:
June 24th, 2023, 6:25 am
Hey, those are my highhexlife ships! Here are the c/4 ships I found that didn't make it to catagolue, not very interesting:
...
Well done, keep up the good work!
I recommend using this search program too: https://alephalpha.github.io/rlifesrc/
This program can also search for spaceships in hexagonal rules.
Currently I'm organizing the database of spaceships in range-1 outer-totalistic hexagonal rules. All spaceships listed in my previous post plus this one:

Code: Select all

``````x = 7, y = 14, rule = B25/S34H
b2o\$2bo\$bo3\$3o\$4bo\$3o\$5bo\$obob2o\$2b2o\$b2obobo\$2b3o\$6bo!
``````
will be registered in this database.
This database lists the authors of each spaceship, so all of your ships will be listed under your name (or pseudonym). How would you like me to include you in the database? whatislife, JMM or under your real name?
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

whatislife
Posts: 29
Joined: June 24th, 2023, 5:47 am

### Re: Outer-totalistic hexagonal rules with spaceships

"JMM", thanks.
Here's something to make the post more interesting: One phase of this ship is entirely oscillators - xp12_387 + xp2_142 + xp12_387 = xq11_0i8421635zd6a

Code: Select all

``````x = 35, y = 11, rule = B25/S34H
26bobo\$29bo\$25bo5bo\$24bo5bo\$12bobo7bo3bo\$15bo\$6bo10bo4bo\$8bo7bo6bo\$7bo
17bo\$24bo!
``````

b25s34h, b35s1368, b3s0246, b38s246

whatislife
Posts: 29
Joined: June 24th, 2023, 5:47 am

### Re: Outer-totalistic hexagonal rules with spaceships

c/8 in b25s34h

Code: Select all

``````# [[ TRACK 1/16 -1/8 ]]
x = 14, y = 24, rule = B25/S34H
bo2bo\$b5o\$5b4o\$7b3o\$bobo3b3o\$bo3b3o2bo\$2o3bobo2bo\$2bo4bobo\$3bo4bo\$8bo\$bo3bo\$
3b2o7bo\$3b4o4bobo\$6bob2o2bo\$5bo4bo\$3b2o4bo\$6bo\$4b2o3bo\$7bo\$9bo2\$7bo\$7bo\$6bo!``````
b25s34h, b35s1368, b3s0246, b38s246

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

whatislife wrote:
June 24th, 2023, 4:25 pm
c/8 in b25s34h
Nice, this is the first known c/8 orthogonal spaceship in hexagonal rule without B0!
I found 2 more spaceships:
c/6 orthogonal

Code: Select all

``````x = 23, y = 23, rule = B25/S34H
2o\$b3o3b2o\$2obo4bo\$3bo2bob3o\$3b4o\$4bobo2b2o\$2bobo\$bo2bo4bobo\$4bo3b3o3b
o\$2bobo3b2ob2o\$7b3obo3bo\$8bobob2obo\$10b3o2bo\$11bob2o\$10bo3bobo\$10bobo
3bo3bo\$12bo3bo2bo\$12bo5bo2bo\$14b3ob3o\$20bo\$17bob3o\$19bo2bo\$19bobo!
``````
c/3 diagonal (or unsimplified 2c/6)

Code: Select all

``````x = 27, y = 26, rule = B25/S34H
6bo\$4bobob3o\$5bob2ob3o\$4bo5bobo\$8bob4o\$9bobobo\$4bobo6bo\$7bo2bo\$3bo2bob
o4b2o\$b2o3bob2o\$12bobo2bo\$2bo2bobo6bo3bo\$3b2o4bob2o5b4o\$o4bobo4bo2bo2b
5o\$7bo4bo2bobo3b3o\$5b2obobo2bobobo4b3o\$15bo7b2o\$4b3o2b2o3b2obob2ob3o\$
6bo5bo3bobo3b4o\$4b2o4bob2obo4bo5bo\$3bo2bobo2bo3bo3bo\$6bo7bo\$6bobo\$5bo
7bo3b2o\$12bo2b3o\$16bo!
``````
Here's a 2c/6 diagonal double puffer (can be cleaned up by another spaceship):

Code: Select all

``````x = 53, y = 30, rule = B25/S34H
10bo\$9b2ob3o\$9bo4b3o\$9bo3b2obo\$7bo2b2o2b4o\$4bo5b2obo3bo\$6bob2obo2bob2o
\$ob2o2b2ob5o2bo\$5bobo2b6ob2o\$2bo2b2o4bob2o2bob2o\$5bob2o2b3ob4o2bo\$8bo
3bob3obo2b4o19b2o\$6b3o9b2ob5o14bo4b3o\$7b2o5bo2bob4ob3o12bo2bo2bob2o\$3b
o4b3o3bob4obo3b3o13bob4ob2o\$11b2obo3b2o6b2o9b2ob3obo2bob2o\$10bo3bob3o
2b2o3b2o10bo2bo3bo2bob2o\$11bo4bo9b3o11bob3obo2bobo\$4bo4bo4bo2b5obobo3b
o6bob2o4b2obob4o\$8bo5bob4obob2o10bo7bob2ob2o2bo\$11bo3b2o2b3obo20bobo2b
o\$12bob2ob2o3bo3bo9bo4bo4bobobo\$13b2o5bobo19bo4b3o\$21bo24bobo2bo\$14bo
2bo27bo4bo\$16bo3bo24bob2o\$17bo4bo25bo\$20b2o20bo2bo\$44bo\$21bo!
``````
Edit: I'm not sure if I can find c/4 or c/5 diagonal, but I have a c/6 diagonal spaceship:

Code: Select all

``````x = 41, y = 39, rule = B25/S34H
26b3o\$29bo\$28bo2bo\$23b2obo3b3o\$28bo2bo\$25bo4b2obobo\$25bob2o3b2o\$18bo3b
ob2o5bo4bo\$20b2obo2bo2bobo3b2obo\$20bob6o5b3o\$20bob2ob3o4b2o5bo\$16bobo
10b3ob3o2bo\$15b2obob4o4bobo2b2o5bo\$17bo2bob2o5bob2o2bo3bo\$15bo5bobo4b
4ob3o\$14bo2bo2bobob2o3b2o4bo\$15b4o4b4o4b2o\$10bobo3bob2o4bob2o2b2o\$9b3o
2bo2b2o6b4o\$8bo3bo2bo2bo4b2o2bo\$5bo3b2o3bo6bo9bobo\$5bob2o2bo4bo4b3o3bo
\$3bo3bobo6bob2ob4o2bo\$2bo2bo2bob2o2bo2b2o7bo\$4bo2b2o5bob2o5bobo\$9b3o2b
o5bobo3bo\$9bo2bo3bob4o\$12bo2bo6bo\$bo4bo3bob2o2bo2bobo\$o4bobo2bob2o4bo\$
bobobo7bobo3bobo\$2o6bo3bo\$2bo2bo3bob4o3bo\$2bo3bo\$6bobobo2bobo3bo\$9bo5b
o\$8bo6bo\$7bo\$9bo!
``````
Edit 2: p18 c/3 diagonal dihex puffer:

Code: Select all

``````x = 54, y = 66, rule = B25/S34H
19bo\$19bobo\$18b2ob3o\$18bobo2b2o\$16b2ob2obob2o\$22b2obo\$14b2obobo5b2o\$9b
o3bo7bobo\$11bo4b2obo3b5o\$8bo4bo2bob3o2bobo\$14bobobo2b4obo\$14bo3bo2bob
5ob3o\$16b4ob2o2b5ob2o\$10bobo3bo8b2o4b3o\$11b2o3b4o3b5o4bobo\$19bo4bo2b2o
3b4o\$13bo4bobob3ob2obo4b3o\$14bobo3bo5bo5bobobo\$15bo9b3o2b2o4bo\$17bobo
8bob3o12b2o\$17bo4bob2o2b4o9bo4b3o\$18bo3bob2ob2o5b2o4bo2bo2bob2o\$22b3ob
o2bobo10bob4ob2o\$11b2o10bo3bobo8b2ob3obo2bob2o\$12b3o10bobobobo7bo2bo3b
o2bob2o\$7bo3b2ob2o11bobo11bob3obo2bobo\$9bo3bob2o11bo8bob2o4b2obob4o\$9b
o2bobob2o10bobo5bo7bob2ob2o2bo\$13bobob2o9b2o15bobo2bo\$6bo2bob2o3bobo
15bo2bo4bo4bobobo\$bob2o2bob3o4b4o23bo4b3o\$o8bob2obobo2bo8bo3bo2bo11bob
o2bo\$2bo5b4o2b4o28bo4bo\$2bo8bo2b2ob4obo7bo2bo12bob2o\$4bo4b4obo4bo29bo\$
6bobobo4b2o2b3o2b3o16bo2bo\$5bo2b3o3b2o3b3obob3o17bo\$7b2o3bo4b2ob2o4b2o
13bo\$6b3o5bo3b2o3bo3bo15bo\$8b2o2b2o4b2o4bo14bo\$17b2ob5o4bo11bo\$12bobo
5bobobo2bo9bo\$10bo4bob2obob3o4bo9bo\$8bo2bo3b2o3bobo3b2o7bo\$16bo6b2obo
10bo\$16bo2b3o11bo\$11bobo6bobobo10bo\$12bob2o5bobo7bo\$20b2o11bo\$29bo\$12b
o2bo5b2o8bo\$13bo13bo\$11bo3bo13bo\$11bo2b3o4bo3bo\$15bobo5bo3bo\$12bo\$15bo
2bo6bo\$18bo\$16b2o\$17b2o\$17bobo3\$10bo2\$11bo!
``````
Edit 3: 2c/6 orthogonal spaceships in other rules:

Code: Select all

``````x = 14, y = 13, rule = B2/S34H
5b2o\$4bo2b2o\$3bo\$bobo3bo2bo\$obo\$b4obo5bo\$bo3b4o\$bo10b2o\$bo2bob2o4bo2\$
5bo\$5bo\$5bo!
``````

Code: Select all

``````x = 19, y = 22, rule = B256/S34H
b2o\$obo\$ob2o\$5o2bo\$2ob3o\$2b5o\$4bobo\$5b2o2bo2\$11bo\$6bob2o\$8bo\$10bobo\$
13bo3\$15bo\$14b4o\$14b2obo2\$16b2o\$18bo!
``````
Edit 4: reduction of the Glider 99:

Code: Select all

``````>>>B245/S245H
#C Glider 99, c/2 orthogonal (period 2/2)
#C Discovered by May13, 2022
#C
#C B0123456 S0123456 H
#C  --X-XX   --X-XX
#C
x = 12, y = 14, rule = B245/S245H
2bo2bo\$3ob2o\$ob5o\$bo4bo\$b2obo3bo\$3bo4bo\$bobo3b2obo\$b2obo3bo\$3b4o3bo\$4bo\$
10bo\$5b2o3bo\$5b2ob2obo\$7bo2bo!
``````

Code: Select all

``````x = 13, y = 13, rule = B245/S245H
6b2o\$5b2obobo\$2b2obobob2o\$3bobo\$2bobo2bo3b2o\$2b2o2b2o\$2obob2o2bo\$b2obo
bo\$b2o4bo\$2b2o\$3bo\$3bo\$6bo!
``````
Last edited by May13 on June 25th, 2023, 7:38 am, edited 1 time in total.
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

Posts: 1248
Joined: May 7th, 2016, 8:53 am
Contact:

### Re: Outer-totalistic hexagonal rules with spaceships

whatislife wrote:
June 24th, 2023, 6:25 am
sparky ship engines interacting
Some high period oscillator puffers and rake canditates constellation from right to left:

Code: Select all

``````x = 349, y = 68, rule = B25/S34H
103bo\$102bo\$101b2o2bo2\$105bo\$97bo2\$104bo\$100b2o\$100bobo\$99bo3bo\$98bo5b
o\$100b2o\$99b4obo\$101b3o7\$340bobo\$232bobo\$340bo2bo\$232bo2bo107bo\$235bo
108bo\$236bo\$341bo\$233bo3\$341b4o\$233b4o108bo2bo\$237bo2bo100bo3bo\$233bo
3bo\$342b3obo\$234b3obo104b3o\$235b3o106b2obo\$236b2obo106bo\$238bo8\$6bo
107bo107bo\$5bo4bo102bo4bo102bo4bo103b2o\$9bo107bo107bo104bo2bo\$o5bo5bo
95bo5bo5bo95bo5bo5bo99b2o2bob2o\$5bo4bo102bo4bo102bo4bo103b2o2bo\$7bo4bo
102bo4bo102bo4bo96bo\$3b2o106b2o106b2o103bo5b2o\$3bobo105bobo105bobo104b
2o\$2bo3bo3bo99bo3bo3bo99bo3bo3bo99bo8bo\$bo5bo4bo96bo5bo4bo96bo5bo4bo
98b2o5bo\$3b2o6bo99b2o6bo99b2o6bo97bobobo6bo\$2b4obo102b4obo102b4obo106b
o3bobo\$4b3o105b3o105b3o103b4obo5bo\$14bobo105bobo105bobo94b3o7bo\$10b4ob
o102b4obo102b4obo99bo6b2o\$14b2obo104b2obo104b2obo100bo2bo\$10bobobo103b
obobo103bobobo109bo\$12b2o106b2o106b2o104bob2o2bo\$13b2obo104b2obo104b2o
bo103bo2bo\$14b2o106b2o106b2o103b3o2bo\$337b3o!
``````

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

330 gliders, including those that I found recently, but did not publish in any post:
hex-gliders.db.txt
330 hexagonal spaceships
Edit: glider 331, the second known c/7 orthogonal spaceship:

Code: Select all

``````x = 96, y = 96, rule = B2456/S3H
2bo\$2bo\$2o\$4bo\$3b2o2b2o\$6bo2bo\$5bo3bo\$4bo5bo\$4bo4b2o2bo\$5b2obob2o3bo\$
7b3o2b2obo\$9bo2bo4bo\$10b3o4bo\$8bobo4b3o\$16bobo\$9b2o2bobob2o\$13b2obo2b
2o\$11b3obo2bo3bo\$14b2obo2b3obo\$16bo4bobo\$16bobo2bo\$18b3o2bobo\$17b2o4bo
\$19bob3o\$18bo7b3o\$21bo4bo2bo\$24b2o3bo\$24bo4b2o\$24bo6bo\$25b3obobo\$27bo\$
28b2obobo\$34b2o\$31bobobo\$32bo2bo\$32b4obo\$38bo2bo\$35bobo2bo\$36bo6bo\$39b
o\$37bo\$36bo4b2o2bo\$41bo3bob2o\$38bo4b2o2bo\$43bo5b2o\$41b2o2b2ob2o\$45bo\$
42b2o3b2obo\$42bo2bobob2obo\$44b2o2b4o\$44bo2b3obobo\$49b5o2bo\$48bo2bob2o
3bo\$50b4o2bo\$52bobo2\$51bobo4b2o\$60bo\$52bo3bob2o\$56bobo\$57bo2bo\$62bo\$
61b2o\$64bo\$63b2o2\$66bo2\$68bo\$70bo\$69b2o\$72bo\$71b2o2\$74bo\$76bo\$75b2o\$
78bo\$77b2o2\$80bo\$82bo\$81b2o2\$84bo2\$86b2o\$86bo4bo\$88b2o\$88bobob2o\$89b3o
bo\$87bo2b2obobo\$89bo2bo\$89b3o2\$91bo!
``````

Code: Select all

``````:May13, 2023:B2456/S3H:B2456/S3H:7:-1:1:93:93:2o\$2o2bo\$4bo\$5bo2bo\$b2o3bo\$3bo5bo\$4bo2bo\$6b2obo\$3bo4b2o\$5bob2o2b3o\$11bobobo\$9b2obo2bobo\$9bobo\$9b2o2bo2bo\$14b5obo\$10b2o2b2obo2bo\$13b2o3bobo\$11bo2b2o2bo\$14bob2obob3o\$18bo3bo\$14b3o6bo\$18bo5bobo\$18b2o2b2o2bo\$18bobobobobo\$21bobobobo\$24bo2bobo\$21b3o2b2o\$24b5o\$27bo2b3o\$25bo3b3o\$28b2ob2o\$28b5o\$28bob2obo\$32b3o\$33bo2bo\$35bo3bo\$34bo5bo\$37b4o\$37bo\$35bobobobo\$36b2o3bobobo\$39b4o2bo\$41bo2bob3o\$40bo2b2o2bo\$42b2ob2o\$40b2o2b3o\$42bob2ob2obo\$42b2o2b2o2bo\$42bo3bo3bobo\$49bo3bo\$46b3o3b2o\$51b2o2b2o\$48bob2obo3bo\$49b2obo4bo\$54bo2bo\$51bo6bo\$51bo5b2o\$52b3ob2obo\$55b2obo\$57bo\$60bo2\$62bo2\$64bo2\$66bo2\$68bo2\$70bo\$72bo\$71b2o\$74bo\$73b2o2\$76bo\$78bo\$77b2o2\$80bo\$82bo\$81b2obo2\$82bobo2\$86b2o\$86bobobo\$87b5o\$88bo3bo\$87b2o\$88bo3bo\$89bobo!
``````
Edit 2: more spaceships:

Code: Select all

``````:May13, 2023:B24/S24H:B245/S246H:2:-1:1:21:20:3b2o\$b3obobo\$2b4o2bo\$3ob2ob2o\$bo4bo2b2o\$b2ob2o2bobobo\$2bobo2bo2bobo\$3bo4bo6bo\$2b2obo6bo2bo\$4bob2o3bo4b2o\$5bo4bobo\$5b2ob2o7b3o\$8bo7bo2bo\$7bo7bobo2bo\$8bo5bo\$9b2o2bo\$9b4o2b2o\$11bo3bo2\$12bobo!
:May13, 2023:B246/S24H:B246/S246H:2/2:-1:1:18:17:5b2o\$4b2obo\$3bobo\$2bo\$2bobob3o\$2ob2ob2obo\$b3o2b4ob2o\$bo2bo3b2ob2obo\$5b2obo3b2o\$5b2o5bo2bobo\$6b2o3bo\$6bo3bo\$7bobobo\$7b3o\$10bo\$9bo\$10bo!
:May13, 2023:B2/S2356H:B2/S2356H:4/2:-2:2:45:45:10bob2o\$10b2ob2o\$8b2ob3ob2o\$7b3o2bo\$6bobobo3b5o\$5bo7b5o\$4bo9bo3bo\$3bo4bo4bobobo2bo\$2b3o2bo5b2obob2o\$2b2o5b2o3bo2b2ob3o\$2ob2o4b2obo3b3obo\$b2obo4b3o4bobobobo\$3ob2o6bo2bob4o3bo\$9obobo3b2obobo\$6bob3o3bo4b2obo\$b2obo2bob2o10bobo\$7b2o11b3o2bobo\$4bo3bobobobo12bo\$10bo2bobo5bobob2o\$6bob2o15bobo\$8b2o2bob4o7bo\$10b4obo9bo2bo\$12bobob2obo6bo\$11b5o9b3o2bo\$15bob4o8b2o\$13bob3o3b2o3bo4bo\$17bob2obobo4bo2bo\$21bo2bobo4bob2o\$21bob3o5b2obo\$24bo8bob2o\$22bo3b2o4b3obo\$24bo2bobo5bob2o\$26bob2o4b3obo\$26b2obobo5bob2o\$28bob2o4b3o\$28b2obo6b4o\$30bob2o6b2o\$30b2obo7b2o\$32bo2bo\$32b2obo7b2o\$37bo5bo\$34bobo\$36b3o\$36bobo\$39bobo!
:May13, 2023:B26/S235H:B26/S2356H:4/2:-2:2:31:31:6bob2o\$6b2ob2o\$8bob3o\$4b2ob4obo\$3b4ob2obobo\$3b2ob3ob3obobo\$2o2b3obob2obob2o\$bobobobo4b3obo\$ob5obo3b2obob2o\$2ob2o4b2o3b3obobo\$b3ob2o2bo4b2obob2o\$2bob3o9b3obo\$2b2obob2o7b2obob2o\$4bob3o9b3obobo\$5bobob2o7b2obob2o\$5b2ob3o9b3obobo\$7bobob2o7b2obob2o\$6b3ob3o9b3obo\$9bobob2o7b2obob2o\$9b2ob3o9b3obo\$11bobob2o7b2o4bo\$11b2ob3o9b2o2bo\$13bobob2o7bo\$13b2ob3o\$15bobob2o\$14b3ob3o\$17bobob2o\$16b3obo\$19bo2bo\$18b4o\$20bo!
:May13, 2023:B25/S13H:B25/S136H:3:-1:1:28:28:10bo\$9bo2bo\$8bob2o\$10b2obo\$9bo6bo\$11bob4o\$13bo3bo\$13bo2b3o\$2bo9b2obo\$bo2bo9b2o\$ob2o11bo\$2b2obo13b2o\$bo6bo11bo\$3bob4o11bo\$5bo3bo10bo\$5bo2b3o10b4o\$4b2obo9bo2bobobobo\$6b2o8b2o2bobo\$7bo14bob2o\$11bo7bo4bo\$11b4ob2o2b3obo\$15bo4bob2o\$15b4ob3o3bo\$15bo5bo4bo\$15b2ob3o3b2o\$18bo5bobo\$16bo5b2ob3o\$26b2o!
:May13, 2023:B2/S0H:B256/S0456H:2:-1:1:14:14:4bo\$3bo\$7b2o\$bo5b2o\$o4b3o2bo\$4bo\$4bo2bo2bo\$2b3obobo2b3o\$2b2o3bobo2bo\$8bobo2bo\$4bobo\$7bo\$7b2o\$7bo!
:May13, 2023:B24/S0H:B2456/S0456H:2/2:-1:1:17:17:8b2o\$8b2o2bo\$11bo\$10bo\$6bo2bo4b2o\$5bo3bobo3bo\$5bobo2bobo3bo\$bo4bobob2obo\$o4bobo4bo\$4bo3bo\$4bobo5bo2bo\$2b4obo3bobo\$2b2o2bobobobob2o\$7bobobo4bo\$4bobo\$7bo3b2o\$13bo!
:May13, 2023:B2/S03H:B26/S036H:2:-1:1:33:33:6bo\$5bo\$4bobob2o\$8b3ob2o\$2bo3b2o4bo\$bo4b2o5bo\$obob2o3bo2b5o\$4b2obobob2ob3o\$2b2o6bobo\$2b2o2b2o3bo5b2o\$3bo4bo5bob2o\$7bobob2o5bo\$3b2ob3o2bobo3bo3b2o\$3bob2o5bobobo2b2o2b2o\$6b2o2bo2bo2bob3o3b3o\$6b2o11b4o4b2o\$6b2o2bo2b2o8bobo2b3obo\$9b2obo10bobo\$9bobo2bo7b2o2b2o2b2o\$13b3o8bo2b2o3bo\$13b3o10bo\$12bo2bo12bo\$12bo2bo2bo7b3o\$13bo2b3o7bo2bo\$13b2o4bo\$14bob2o\$14bo3bobob2o\$15bo2b2o2bo\$15b2o2bob2o\$16bo6bo\$16bobo\$18bo\$16bo2bo!
:May13, 2023:B25/S03H:B256/S0356H:2:-1:1:17:15:6bo\$5bo\$4bobob2o\$8b3ob2o\$2bo3b2o4bo\$bo4b2o\$obob2o\$4b2obo3b2o\$2b2o5b2obo\$2b2o2b2ob2ob2o\$3bo9bo\$7b2o5bobo\$9bobo2bo\$11bo\$9bo2bo!
:May13, 2023:B2/S035H:B25/S0356H:2:-1:1:29:29:18bo\$17bo\$16bobob2o\$20b3o\$18b2o\$16bob2o\$15bo5bo2bo\$14bob5obo\$20bob2ob2o\$16b2obo2bo\$16b2o5bo\$17bo5bo2b2o\$19bob8o\$18bo5bobobo\$7bo9bo4bobo\$6bo10b2ob2o\$2bo2bobob2o9bo\$bo5bob3o2b2o3b3o\$obob2obo5bobo3b2o\$4b2obobo2bo4b2ob2o\$2b2o3b2o6b5o\$2b2o2bo5bo2bobobo\$3bo3b3o2bobo\$8bob3o\$6bo5b3o\$8bo3bo\$8bo2b3o\$11b2o\$12b2o!
:May13, 2023:B26/S035H:B26/S0356H:2:-1:1:20:20:12bo\$11bo\$10bobob2o\$4b2o8b3ob2o\$3bo2b2o4b2o4bo\$3bo3b3o2b2o\$4bo5bob3o\$4b2ob2o2bobobob2o\$5bobobo4bo2bo\$5bo2b2o8bo\$2bo3bo\$bo5bo3bo\$obob3o\$4b4o\$2b2o2bobo\$2b2o3bo\$3bo\$7b2o\$3b2o2bobo\$3bo!
:May13, 2023:B25/S0345H:B25/S0345H:2:-1:1:20:12:2bo\$bo\$obob2o\$4b3ob2o\$2b2o2b2obo\$2b2o3bobo2b2o\$3b4o2bob2o\$4b4o2bob3o2bo\$3bob3o3bo2bobo\$3bobob2o3bo2b3o\$8b2o7b3o\$8bo9bo!
:May13, 2023:B25/S0345H:B256/S03456H:2/2:-1:1:15:15:9bo\$8bo\$4b2obobob2o\$4bobo2bob3o\$2bo2bo2bo\$bo3bo3bo2b2o\$3bob2o3b3o\$4bob2obobo\$b2obob3ob3o\$o4bo2bobob3o\$o12bo\$bo4b3o\$b2obob3o\$2b2o4b3o\$2bo6bo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

May13 wrote:
May 1st, 2022, 3:06 am
Challenge: formulate a proof that connected patterns cannot shrink in B2(3456)/S123456 (or even B2(3456)/S12345(6)).
Proof that there are no spaceships in B2(3456)/S1234(56):
In order to escape the bounding orthogonal hexagon, pattern must have at least two connected cells (dihex):

Code: Select all

``````x = 9, y = 9, rule = B2/S123456HHistory
B2A2B\$6B\$7B\$8B\$9B\$.8B\$2.7B\$3.6B\$4.5B!
``````
There are only two ways to get rid of dihex:
1. Kill cells at the same generation
2. Kill cells at different generations
B2(3456)/S123456 is immediately excluded because cells of dihex will always have at least one living neighbour, so they are immortal.
Case 1:

Code: Select all

``` x = 43, y = 52, rule = B2/S1234HHistory 20.3F17.3F\$21.2F18.2F\$3D7.6B4.F.F7.6B4.F.F\$D9.7B2.F10.7B2.F\$D9.8BF11. 8BF\$.D8.9B11.9B\$2.3D5.10B10.10B\$2.D2.D4.2B2A7B9.11B\$2.D3.D4.BAEA6B10. B2A7B\$3.D2.D5.CEA6B11.CEA6B\$4.3D6.CA6B12.CEA5B\$14.7B13.2A5B\$15.6B14. 6B8\$20.3F17.3F\$21.2F18.2F\$3D7.6B4.F.F7.6B4.F.F\$D9.7B2.F10.7B2.F\$D9.8B F11.8BF\$.D8.9B11.9B\$2.3D5.10B10.10B\$5.D4.2B2A7B9.11B\$6.D4.BAEA6B10.BC A7B\$6.D5.BEA6B11.CEA6B\$4.3D6.2C6B12.BEA5B\$14.7B13.2A5B\$15.6B14.6B7\$ 20.3F17.3F\$21.2F18.2F\$10.6B4.F.F7.6B4.F.F\$10.7B2.F10.7B2.F\$10.8BF11. 8BF\$10.9B11.9B\$10.10B10.10B\$10.2B2A7B9.11B\$11.BCEA6B10.B2A7B\$12.CEA6B 11.CEA6B\$13.BA6B12.CEA5B\$14.7B13.BA5B\$15.6B14.6B! ```
Yellow = dying dihex, white = new dihex, grey = direction.
Case 2:

Code: Select all

``` x = 63, y = 73, rule = B2/S1234HHistory 20.3F17.3F\$21.2F18.2F\$3D7.6B4.F.F7.6B4.F.F\$D9.7B2.F10.7B2.F\$D9.8BF11. 8BF\$.D8.9B11.9B\$2.3D5.10B10.10B\$2.D2.D4.11B9.11B\$2.D3.D4.BCA7B10.BAE 7B\$3.D2.D5.CEA6B11.CEA6B\$4.3D6.EA6B12.CA6B\$14.7B13.7B\$15.6B14.6B8\$20. 3F\$21.2F\$10.6B4.F.F\$10.7B2.F\$10.8BF\$10.9B\$10.10B\$10.11B\$11.B2A7B\$12.C EA6B\$13.CE6B\$14.7B\$15.6B8\$20.3F17.3F17.3F\$21.2F18.2F18.2F\$3D7.6B4.F.F 7.6B4.F.F7.6B4.F.F\$D9.7B2.F10.7B2.F10.7B2.F\$D9.8BF11.8BF11.8BF\$.D8.9B 11.9B11.9B\$2.3D5.10B10.10B10.10B\$5.D4.11B9.11B9.11B\$6.D4.B2A7B10.BAE 7B10.BCE7B\$6.D5.BEA6B11.BEA6B11.CEA6B\$4.3D6.EC6B12.2C6B12.BA6B\$14.7B 13.7B13.7B\$15.6B14.6B14.6B8\$20.3F17.3F\$21.2F18.2F\$10.6B4.F.F7.6B4.F.F \$10.7B2.F10.7B2.F\$10.8BF11.8BF\$10.9B11.9B\$10.10B10.10B\$10.11B9.11B\$ 11.BCA7B10.B2A7B\$12.CEA6B11.BEA6B\$13.BE6B12.CE6B\$14.7B13.7B\$15.6B14. 6B! ```
In both cases, it is impossible to get rid of a dihex without creating another on the same orthogonal line or behind. It follows that at some point the bounding orthogonal hexagon will stop shrinking in at least one direction, which contradicts the definition of a spaceship.
So spaceships are impossible in B2(3456)/S1234(56). Q.E.D.
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

JMM found a period-doubled c/5 orthogonal spaceship: xq10_y12h68q4zy4kg418zy02l01zy15oiazxk2td0gzxcgog1z088p1aa1z251a8z1230k.
I decided to include this spaceship in the DB, because among all non-B0 rules only one 2c/10o spaceship is known.
Updated DB:
hex-gliders.db.txt
352 hexagonal spaceships
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

It's time to update the database:
hex-gliders.db.txt
423 hexagonal spaceships
Notable changes:
• New contributor: haukeworpel (Catagolue user). This user found a c/5 orthogonal spaceship: xq5_62s31zx3087
• Glider 39 was a c/2 orthogonal spaceship found by AlephAlpha; I replaced it with a smaller spaceship.
• Glider 166 and Glider 312 from older version are redundant, so I removed them.
I tried to find at least one more knightship, but I had no good luck. This is the longest partial I have right now:

Code: Select all

``````x = 36, y = 63, rule = B24/S2H
bo\$b2o5bo\$3bo3b3o\$bo5b2o\$2bo4bobob2o\$2bobob2o\$2bo4bo2bobo\$b3o3bob2obo\$
o3bob2o2bo\$3bo3bo\$9bo2bo\$2bo3b4o2bobo\$2bob2obo2bobo\$8b4o\$9bo2bo\$7b3o3b
o\$7bob2o3b2o\$5bob2obo2b4o\$7b2obo2b4o\$8bo3b2o2b2o\$5bo2b3o5b2o\$6bobo5bo\$
16bo\$7bo2b2obob2o\$8bobob2obo\$7bob2o4b2o\$6bo2b2o5b3o\$8b3o7bo\$8bo2bob2ob
2o2b2o\$9b3o2b2o5bo\$9bobob3obo3b3o\$14bo3b3o\$9bo3b2ob2o2bo\$10bo2b2o2bob
3o\$14b3obo2bo\$11bobo4bo3b2o\$14b3o2bo3bo\$15bo4b3obo\$11bob2o2bo2b2o\$14bo
2b4ob2o\$14b2o3b3ob2o\$14bo2bo2bo2b2o\$14b4obo5bo\$15bobob3o\$13bobo2bo5bob
2o\$14bob4obo3b2o\$14bo3bobo4bobo\$16b3o2bo2b2obob2o\$18b2o8b2o\$16b2o4bob
2obo\$16bo2bobo2bo3bo2bo\$15b7ob3o4bobo\$15bo3bo2bo2bo2bo\$17b3obo7bo\$19bo
2bo2b2ob2obo\$24bobo3b2obo\$25b3obobo\$25bo3bo4bo\$29b3o\$30bo2b2o\$33bo\$34b
o\$35bo!
``````
It's difficult to extend this partial further.
Edit: It seems that the script for converting spaceships to .db format that I'm using doesn't handle S0H correctly. I'm already dealing with this problem.
Edit 2: This problem only affects spaceships with glide-reflect symmetry.
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

Due to a (now fixed) bug in my personal script (see previous post), I made a validator and checked the database. Errors:

Code: Select all

``````Glider 77
:LaundryPizza03, 2022:B02/SH:B0256/S0H:4:-1:0:9:8:o\$2bo\$3o\$b3o2\$2b3o\$5b4o\$4bo3bo! [Wrong]
:LaundryPizza03, 2022:B02/SH:B0256/SH:4:-1:0:9:8:o\$2bo\$3o\$b3o2\$2b3o\$5b4o\$4bo3bo! [Correct]
Glider 139
:May13, 2022:B24/S1H:B246/S16H:4:-2:2:22:22:6bobo\$6bo2\$6b4o\$6bobobo\$6b2o2b2o\$2ob4o2bob3o\$3bobobo3bo2b3o\$o2b2o6bo3bo2bo\$3bo2bo7b2o\$4b2o4b2o5b2o\$5b4ob4o\$6bo4bo4b2ob2o\$6bo4bo3b2o3b2o\$7bobo4bob2o\$7b3o3bobo3bo\$7bo4b3o3bo\$10bobobo\$8bobo5bo\$12bo2bo\$12b2o\$13bo! [Wrong]
:May13, 2022:B24/S16H:B24/S16H:4:-2:2:22:22:6bobo\$6bo2\$6b4o\$6bobobo\$6b2o2b2o\$2ob4o2bob3o\$3bobobo3bo2b3o\$o2b2o6bo3bo2bo\$3bo2bo7b2o\$4b2o4b2o5b2o\$5b4ob4o\$6bo4bo4b2ob2o\$6bo4bo3b2o3b2o\$7bobo4bob2o\$7b3o3bobo3bo\$7bo4b3o3bo\$10bobobo\$8bobo5bo\$12bo2bo\$12b2o\$13bo! [Correct]
Glider 388
:May13, 2023:B015/S123H:B0135/S123H:4/2:-1:1:4:3:3o\$2obo\$bo! [Wrong]
:May13, 2023:B015/S123H:B0135/S0123H:4/2:-1:1:4:3:3o\$2obo\$bo! [Correct]
Glider 420
:May13, 2023:B013/S2H:B0135/S2H:8/2:1:1:10:10:6b2o\$5b4o\$6b4o\$ob2ob5o\$8o\$2b6o\$3b5o\$4b4o\$5b3o\$6b2o! [Wrong]
:May13, 2023:B013/S2H:B0135/S02H:8/2:1:1:10:10:6b2o\$5b4o\$6b4o\$ob2ob5o\$8o\$2b6o\$3b5o\$4b4o\$5b3o\$6b2o! [Correct]
``````
Corrected and expanded version, 468 spaceships:
hex-gliders.db.txt
468 hexagonal spaceships
I'm preparing an update to new-glider.py that renders the B0 map in a symmetrical style, e.g.

Code: Select all

``````\$ python new-glider.py
>>>)v
B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3                                 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
4 4 4 4 4 4 4 4                 4 4 4 4 4 4 4 4                 4 4 4 4 4 4 4 4                 4 4 4 4 4 4 4 4
5 5 5 5         5 5 5 5         5 5 5 5         5 5 5 5         5 5 5 5         5 5 5 5         5 5 5 5         5 5 5 5
6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6     6 6
--------------------------------------------------------------------------------------------------------------------------------
S012345 :                                                                 . . . . . . . .         . . . . . . . . . . . . . . . . . . . .
S 12345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S  2345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . .
S0 2345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S0  345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S   345 :                                                                 . . . . . . . . . . . . . . . .
S 1 345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S01 345 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S01  45 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1  45 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S    45 :
S0   45 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S0 2 45 :                                                                 . . . . . . . . . . . . . . . . . . 1 1 . . . . . . . . . . . .
S  2 45 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . .
S 12 45 :                                                                 . . . . . . . . . . . . 1 1 . . . . . . . . . . . . . .
S012 45 :                                                                 . . . . . . . . . . . . 1 1 . . . . . . . . . . . . . . . . . .
S012  5 :                                                                 . . 3 1 2 2 2 1 1 1 . . 2 2 1 1 . . . . . . . . . . . . . . . .
S 12  5 :                                                                 . . . . 1 1 2 1 . . . . 1 1 . 2 . . . . . . . . . . . .
S  2  5 :                                                                 . . . 1 . . . 1 . . . . . . . . . . . . . . . .
S0 2  5 :                                                                 1 2 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S0    5 :                                                                 1 1 1 1 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . .
S     5 :
S 1   5 :                                                                 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S01   5 :                                                                 . . . . . . . . . . . . 1 1 1 1 . . . . . . . . . . . . . . . .
S01 3 5 :                                                                 6 1 1 3 . . . . 1 2 1 . . . . . . . . . . . . . . . 1 1 . . . .
S 1 3 5 :                                                                 . . . . . . . . 1 1 1 1 . . . . . . . . . . . . . . . .
S   3 5 :                                                                 . . . . . . . . . 1 1 . . . . .
S0  3 5 :                                                                 . . . . . . . . . 1 1 . . . . . . . . . . . . . . . 1 1 . . . .
S0 23 5 :                                                                 . . . . . . . . 2 2 1 1 . . . . . . . . . . . . . . . . . . . .
S  23 5 :                                                                 . . . . . . . . 2 2 1 1 . . . . . . . . . . . .
S 123 5 :                                                                 . . . . 1 1 . . 1 1 1 1 . . . . . . . . . . . . . . . .
S0123 5 :                                                                 . . . . 1 1 . . 1 2 1 1 . . . . . . . . . . . . . . . . . . . .
S0123   : . . . . . . . . . .   . . . . . . . . 1 1   . . 6 . . . . . . .                                 . . . 1 . . 4 . . 1 . . 1 . . .
S 123   : . . . . . . . . . .   . . . . . . . . 2 1   . . 1 . . . . . . .                                 . . . 2 . . . . . . . . 1 . . .
S  23   : . . . . . . . . . .   . . . . . 3 . . 1 1   . . 1 . . . . . . .                                 3 . . . 1 . 1 1 3 . . . . . . .
S0 23   : . . . . . . . . . .   . . . . . 1 . 1 1 1   . . 3 . . . . . . .                                 . . . . 1 . 1 1 . . . . . . . .
S0  3   : . . . . . . . . . .   . . . . . 2 1 . . 1   . . . . . . . . 1 1                                 . . . 3 . . . . . . . . . . . .
S   3   : . . . . . . . . . .   . . . . . 2 1 . . 1   . . . . . . . . 1 1                                 . . 1 3 .   . . . . . . . . . .
S 1 3   : . . . . . . . . . .   . . . . . 2 2 . . 1   . . . . . . . . . .                                 . . 1 2 . . . 1 . . . . . . . .
S01 3   : . . . . . . . . . .   . . . . . 1 1 1 . 1   . . . . . . . . . .                                 . . 1 4 . . . 4 . 5 . . . . . .
S01     :   . . . . . . . . .   . . . . . 1 . . . .   . . 1 1 . . 2 2 1 1                                 2 2 6 6 . . . 3 . . . . . . .
S 1     :   . . . . . . . . .   . . . . . 1 . . . .   . . 2 1 1 1 2 2 1 2                                 2 2 4 4 6 . . . . . . . . . .
S       :   . . . . . . . . .   . . . . . . . . . .   . . 1 1 1 1 1 1 1 1                                 2 2 6 7 .   1 1 . . . . . . .
S0      :   . . . . . . . . .   . . . . . . . . . .   . . . 1 . . 1 1 1 1                                 2 2 3 3 . . 1 1 . . . . . . .
S0 2    : . . . . . . . . . .   . . . 1 1 2 1 . . .   . 1 . . . . . . . .                                 4 2 3 5 . . 1 2 . . . . . . . .
S  2    : . . . . . . . . . .   . . . 1 1 2 1 . . .   . 1 . . . . . . . .                                 4 2 3 4 . . . . . . . . . . . .
S 12    : . . . . . . . . . .   . . . . . 1 . . . .   . 1 . . . . . . . .                                 1 1 4 1 . . . . . . . . . . . .
S012    : . . . . . . . . . .   . . . . . 1 2 . . .   . 1 . . . . . . . .                                 1 1 3 3 . . . 1 . . . . . . . .
S012 4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . . . 3 . . . . . 2 2 2 2 4 4 1 1 1 3 . 1 . 1 1 3 . 1 . . . . 1 .
S 12 4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . . . . . . . . . 2 2 2 2 2 2 1 1 3 1 . 1 . 1 . 1 . . . . . . 1 1
S  2 4  : . . . . .   . . . .   . 1 . . . . . . . .   . . . .   . . . . . . . . . . 1 1 1 6 4 6 3 3 3 4 3 . . . 1 . . 1 1 . .   . . . . .
S0 2 4  : . . . . .   . . . .   . 1 . . . . . . . .   . . . .   . . . . . 1 2 . . 3 3 2 4 6 4 7 3 5 4 1 3 1 1 1 1 . . 1 2 . . . . . . . .
S0   4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . . . 1 1 . . . . . 6 . . . . . . . . . . . . . 1 . . . . . . . .
S    4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . 1 1 . . .   . 1 . .   . . . . .
S 1  4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . 4 . 1 1 . . . . . . 1 1 1 . . . 1 . 1 1 . . . 2 1 1 . . . . . .
S01  4  : . . . . .   . . . .   . . . . . . . . . .   . . . .   . . . . . . . 1 1 . . 1 4 3 . 1 1 2 . . 1 3 1 1 2 1 1 2 3 1 1 . . . . 1 .
S01 34  : . .   . .   . . . .   . .   . . . .   . .   . . . .   . .   . . . . 3 . . . . . . . . . . . . . . . . . . . 1 1 . . . . . . . .
S 1 34  : . .   . .   . . . .   . .   . . . .   . .   . . . .   . .   . . 1 . . . . . . 5 . . . . . . . . 1 . . . . . 1 1 . . . . . . . .
S   34  : . .   . .   . . . .   . .   . . . .   . .   . . 1 .   1 .   . . . . . . . . . . . . . . . . . . . .   . .   . . . . . . . . . .
S0  34  : . .   . .   . . . .   . .   . . . .   . .   . . 1 .   1 .   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S0 234  : .     . .     . .     . .     . .     . .     . .     . .     . 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S  234  : .     . .     . .     . .     . .     . .     . .     . .     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   .
S 1234  : .     . .     . .     . .     . .     . .     . .     . .     . . . . . . . . . . . . . . . . . 1 1 . . . . . 1 . . . . .     .
S01234  : .     . .     . .     . .     . .     . .     . .     . .     . . . . . . . . .         . . . . . 1 . . . . . . . . . . . . . .

348/2468
>>>
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

Important update: 2 new speeds and new maximum number of speeds in one B0H rule.
New speeds are 3c/8 and 3c/10 orthogonal:

Code: Select all

``````x = 126, y = 31, rule = B01246/S135H
3o2b3o2b3ob3ob3obo10bobobo2b2ob4obo3bo3bo3bob2ob3o\$2o2bo2b2ob2o4b4o3bo
9bo2b2obo5bo3bo2bob2obo2bo6b2o\$b3obo2b2ob3ob3ob3ob4obob3o2bob5ob4ob5ob
ob4obo3b4o2b2ob2o2b4ob2ob6obob3o2b4ob4o2bobo2b2ob4o\$5b2o3bo13b2o3b3o4b
o8b2o5bob3o4b2o2b2o4b6ob2ob7obob3o3b2ob2ob4ob2obo2bob5ob2o\$6b3obo9b3o
2b3ob2o2bo2bob2o2b3obo2b5o4b3o3b3o2bo5b2ob2obo3b2obob4obobo2b2obob3ob
2o2bobo4b4o\$20b2o2b6o2b2obo2b3ob2o2bo2b2ob2o6b9obob3o3bo2b2o2b5ob2o2bo
3b2o2b4obo2b3ob5o\$7b3obo9b3o2b3ob2o2bo2bob2o2b3obo2b5o4b3o3b3o2bo5b2ob
2obo3b2obob4obobo2b2obob3ob2o2bobo4b4o\$7b2o3bo13b2o3b3o4bo8b2o5bob3o4b
2o2b2o4b6ob2ob7obob3o3b2ob2ob4ob2obo2bob5ob2o\$4b3obo2b2ob3ob3ob3ob4obo
b3o2bob5ob4ob5obob4obo3b4o2b2ob2o2b4ob2ob6obob3o2b4ob4o2bobo2b2ob4o\$4b
2o2bo2b2ob2o4b4o3bo9bo2b2obo5bo3bo2bob2obo2bo6b2o\$5b3o2b3o2b3ob3ob3obo
10bobobo2b2ob4obo3bo3bo3bob2ob3o10\$14bob2ob3obobo3b2ob2obo7b4o6bo2bo2b
ob3o2bo3bob2o4bob2o9b3obo2bob3o\$14bo6b3o2bo2b7ob6o2bo2b5obobobob3o2bob
o2bo4b3ob4o8b2o3bobo3b2o\$15bo2bo2bobo2bo3b3ob2o2bo5b4o8b2obo2bo3b3o3b
2ob4o3bob2o2b2o2b3o4bo3bo\$17bobob3o2b6o7bo14bo2bob3ob4o2bob5obob3obo3b
o3b5obo3b3o\$12b2obob4obobob2o2b2obo4bobo14bobo2b2o2b2obobo2b2ob6obo2b
2o2b2o6bo4b2o\$12b4o2b3obo4b2ob3obo3bob2o\$13b2obob4obobob2o2b2obo4bobo
14bobo2b2o2b2obobo2b2ob6obo2b2o2b2o6bo4b2o\$19bobob3o2b6o7bo14bo2bob3ob
4o2bob5obob3obo3bo3b5obo3b3o\$18bo2bo2bobo2bo3b3ob2o2bo5b4o8b2obo2bo3b
3o3b2ob4o3bob2o2b2o2b3o4bo3bo\$18bo6b3o2bo2b7ob6o2bo2b5obobobob3o2bobo
2bo4b3ob4o8b2o3bobo3b2o\$19bob2ob3obobo3b2ob2obo7b4o6bo2bo2bob3o2bo3bob
2o4bob2o9b3obo2bob3o!
``````
Another 3c/8 orthogonal spaceship:

Code: Select all

``````x = 62, y = 11, rule = B01246/S0135H
o3bobo2bo17b2obobo6b2o3b4o5b2o\$ob2ob2obobo16b4o2bo5b3o2b2ob2o4b3o\$bob
2ob2o2b2o2bo11bob5o2b4o3b2obo2bo2bo2b2o2bo\$3b2ob2o3bobobo10bob2ob6ob4o
b2ob3o2bob5obo\$bo3b3ob2obo2b2o2bo3bo3b6o2b2o2bo2b4obob4obo\$bobobo3b3o
4bobobo2bob3o2b4ob5obob2obob2ob2obob3obo\$2bo3b3ob2obo2b2o2bo3bo3b6o2b
2o2bo2b4obob4obo\$5b2ob2o3bobobo10bob2ob6ob4ob2ob3o2bob5obo\$4bob2ob2o2b
2o2bo11bob5o2b4o3b2obo2bo2bo2b2o2bo\$4bob2ob2obobo16b4o2bo5b3o2b2ob2o4b
3o\$5bo3bobo2bo17b2obobo6b2o3b4o5b2o!
``````
B0135/SH was the previous leader in the number of speeds (7). Now I found spaceships with 10 orthogonal speeds in B01246/S135H. Collection of spaceships:

Code: Select all

``````x = 336, y = 409, rule = B01246/S135H
212b2o\$212b3o\$210b2ob2o\$210b3o2b2o\$211b2o2bo\$213b4obo\$213bob2o2bo\$217b
4o\$215bobob2o\$216b5o\$217b7o\$220b3o\$220b2o2bo\$220bo4bo\$222bob3o\$223b5o\$
224b2obobo\$225b3obo\$228bob2o\$226b2obob2o\$228bobobo\$228b2o2bo\$229b3o\$
234bo\$233bob3o\$234b2o\$234bobobo\$234bo4bo\$236bob2obo\$237b3o2bo\$242b2o\$
238bo2bo2bo\$239b2ob2o\$240bobo2bo\$241bo4bo\$243bob2obo\$244b3obo\$247bo\$
245b2o22\$70b2o142b2o\$70b3o141b3o\$71b2o3b2o137bobo\$73b2obo139bo\$73bo5bo
130b2o6bo\$76b2o2bo129b3o4b2obo\$72b2ob3obo131bobo3b2o2bo\$72bo2b5o2bo
129bo2b2obo2b2o\$77b3o3bo130b4obob2o\$74bob3o2b4o133bo3bo\$75bo4b3obo130b
o5b2ob2o\$79b2o2b4o129b3obo3b3o\$77bob2o2bo133b4o4bobo\$78b2ob2o5bo137bo\$
79b3o3b4o131b2o7bo\$81bo2b4o132b3o5bobo\$81bo2b3obo132bobo5b3o\$84b2o3bob
2o129bo7b2o\$83b2obob6o131bo6b2o\$87b7o130bobo5b3o\$88b3o2b3o129b3o2b2obo
bo\$87b3o2bo2b2o129b2o2b3obo\$87b3ob2o2b2o131b2obobo3bo\$88b3o5b3o129b3ob
o3b2o\$90bo138bobo2bob2o\$90b3o6bo130bo4b4o\$91b3o2b2ob2o132b5obo\$93bo2bo
2bobo130b7o\$93bo4b2o2bo132bob2o2bo\$95b5o3bo132bo2b3o\$96bo7bo134bob3o\$
97bo8bo131b3o2b2o\$98bo6bobo132bobo2bo\$99bo6b3o131b2ob2o2b2o\$100bo6bobo
131bobo\$102bo5bo133bo2bo2bobo\$101bobo6bo136b2obo\$102b3o6bo131bo2bo3b3o
\$103bobo6bo130bob2ob2obo\$104bo8bo134b3ob2o\$106bo7bo130b3ob2o2bobo\$107b
o8bo130b2o5bobo\$108bo5bobo130bobo2b2o\$109bo4bo134b2ob3obobo\$110bob2o3b
3o131bobobobobo\$116b3o131bo3bo2b4o\$111b2o2bo4bo130bobo2b4obo\$114b2o3b
2obo131b3o\$114b2o3b2obo130bob2o4bobo\$114bo2b2ob2ob2o129b3o2b2ob2o\$116b
4o3b3o129bo3b3obo\$119bo3bo2bo129bobobobobo\$117b2o4b2o134bob7o\$119b4ob
2obo130b3ob3o\$119b2ob2o2b2obo131b3o2b3o\$120bo2bo2bob2o132bo4bobo\$121bo
2b2o3bo132bobo3b2obo\$123b2o3b2o132bob2o4b2o\$125bobo4b2o130bobo2bobo\$
124b4o3bo133b2obobobo\$131b3obo131bob3o2b2o\$129b2ob3obo129b3ob2ob2o\$
128bob2o2bo134bo2bobo2bo\$128bob2o2b4o133bobo4bo\$131b3obob2o131b3ob2o\$
130bo2b2ob4o130bo3b5obo\$131bobobobobobo133b5obo\$133b4ob2obo130bo2b3o2b
3o\$134b2obob2ob2o129bob2obo2b2o\$135b4o2bob2o131bo3bo\$138bo2bob2o130bob
ob2o\$136b2ob2o2bo132b3o4b2o\$138bo6bo131b2o3bob2o\$138b4o2bobo134bobobo\$
139b2o2bobo135b2obob2o\$142bobo2bo134b2o2b3o\$143bo5bo134b2ob2o\$145bo2bo
bo133b3o\$147bobo135b2ob4o\$146bobo2bob2o133bob3o\$147bo4b4o132b2o3bo\$
149bo3b2obo131b2ob4o\$150bo3b2o133bob2obo\$149b3o3bo2bo131b2o3b2o\$149b4o
5bo132b2o3b2o\$150bob2o2b2o135bob3o\$151bo3bo4b2o131b7o\$155bo4bo133b4ob
2o\$153b2o8bo132bob2obo\$161bo2bo131b4ob2o\$156b2o3b2ob2o131bo3bobo\$156bo
2b2ob4o132b7o\$160b2o137bob4o\$158bo2bo138b3ob3o\$159b3o139b3o\$160b2o141b
ob2obo\$303bobo3bo\$308b3o\$305bobo2bo\$306b2obo\$307b2ob4o\$310bob3o\$310b2o
3bo\$310b2ob4o\$311bob2obo\$312b2ob4o\$313b7o\$315b2obobo\$315b4ob2o\$316bo3b
2o\$317b3obo\$318b4ob2o\$322bo\$321bob2obo\$321bobo2bo\$325b2o\$323b4ob2o\$
327bob2o\$326bobobo\$326b2obob2o\$327b2o2b3o\$329b2obobo\$329b3ob3o\$330bobo
b2o\$331b3o\$332b2o35\$112b2o\$112b3o\$110b2obobo\$110b3obo\$111bob3obo\$112bo
bob2o\$115bobo\$114b4o\$120b2o\$120b3o\$118b3obo\$118b2ob2o\$119b3obo\$122b3o\$
123b2o2\$126b2o\$126bo\$128bo\$129bob2o\$132b2o\$129bob3o\$129b3o\$130b2ob4o\$
133b2ob2o\$133bo4bo\$133b2obo\$134bo2bo2bo\$135bo3b2o\$138bo2b2o\$137b2obo\$
139bob3o\$139bobobobo\$141b2ob2o\$143bobo\$142b4o\$146b2o\$146b5o\$147b3o\$
147b2o2bo\$147bo5bo\$149bo2bobo\$151bob3o\$150bob2obo\$151b2o\$152b2o2bo\$
155bobo\$156b3o\$157bobo\$158bo\$42b2o116bo\$42b3o116bo\$40b3obo118bo\$40b2ob
4o115b2o\$41b5o118b2o\$43b2o2bo116b3o\$43bo5bo115b2o\$45bo2b2o117b2o\$47b3o
117b3o\$46b5o117b2o\$49bob3o\$50b2o119b2o\$50bo2bobo115bo\$50bob2obo117bo\$
54bob2o117bo\$52b2o2bo117b2o\$54b2o3bo\$54bo3bobo116b2o\$57bob3o115b3o\$56b
obob2o116b2o\$57b3o\$58b2o19\$2o18b2o20b2o29b2o39b2o\$o19b3o2b2o15b3o28b3o
38b3o\$3bo17b2o2b3o12b2ob2o29b2o39bobo\$2bobo18b2ob2o12b3o27b2o44bo\$3b3o
17b3o2b2o11b2o3b2o22b3o4b2o31b2o4b2obo\$4b2o18b2o2b3o14bob2o22b2o3bo33b
3o3b2obo\$26b3obo13bobo2bo25bo4bo30bob3ob2o\$26bob3o13b2o3b2o23bo3b3o31b
ob3o2b2o\$28b3o14bo3bobo22bo2bobob2o33bo2bo\$27b3o16b7o24b2ob2o32b2ob2o
3bo\$27b4o16bobo2bo23b2obo2b2o33bo2bobo\$28b2obo16b2o2b3o23b2o3bobo35b2o
\$33bo15b4o25bobo3b2o33b3obo\$32bobo16bobo2bo23b2o3bo36bo2b2o\$33b3o15bo
2bo2bo24bo3b3o\$34bobo18bob2o22b3o3bo35bobobo\$35b3o15bo2b2obo24bo2bo2bo
32bo5bo\$36b2o16b4ob2o23b3o4bo33bobobo\$55bo2bo2b3o20bo4b2o37b4o\$56b2ob
3ob2o23bo4bo32b7o\$57bobob3obo20bobo3b2o34b2ob2o\$58b3o3b3o20bo6b2o32b7o
\$58bobob2ob2o23bo3bo34b4o\$58b3ob3o24b2o5bo34bo2b2o\$59bobob2o26b2o2b2ob
o32bob4o\$60b3o28bo2bobo2bo33b3obo\$61b2o30b3o38bob3o\$98b2obo33b5o\$94bo
2bob3o34b3o2bo\$95bob2o38bobobo\$98bo41b4o\$97b2o39b7o\$140b3obo\$140b2ob2o
\$141b4ob2o\$146b3o\$144b2obobo\$144b3ob3o\$145bobob2o\$146b5o\$23b2o17b2o28b
2o73b3o\$20b3ob2o15bob2o27b3o77bo\$20b2o2bobo13bobo2bo24b2ob2o76b2o\$21b
2ob4o12b2o28b3o\$28bo12bo2b2obo23b2o\$25bo16bob4o29b2o76b2o\$25bo4bo14bo
31b3o75b3o\$25bo2b3o13b2o3b2o24b2obobo75b2o\$28b2o19bo25b3obo80b2o\$27b2o
2bo15b5o24bobo3bo77b3o\$30bobo14bob4o24bo3bobo74b2obobo\$31b3o15b2ob2o
26bob3o73b4o\$32bobo15b4obo23bob2o2bo73bo4bo\$33b3o15b4obo23b2obob2o73bo
2bo2bo\$34b2o17bob3o23bo2b2obo74bo3bo\$52bobob2o24b3ob3o77b3o\$53b3o27bob
ob2o74b4ob2o\$54b2o3b2o23b3o2b2o74bob2obo\$59b3o23b2obo76b4ob2o\$57b2obob
o24bob2obo73bo3bobo\$20b2o35b3ob3o23bobo3bo73b7o\$20b3o35bobob2o27bo76bo
bo2bo\$21b2ob4o31b3o27bo3bobo73b2obob2o\$23bobo34b2o28bob2obo74b2o2b3o\$
23bobob2o65bob2o74b2obobo\$25b2o2bo62b2o2b3o73b3obo\$27b2obo63b3o2bo73bo
bo2bo\$26b2obo2bo61b2o2b3o73bo4bo\$33bo61bob3obo74bob2obo\$30bo2b2o61b5o
76b3o2bo\$31b2obo62bobobobo78b2o\$32b2ob2o61bob4o74bo3bobo\$34bo66b3o75b
7o\$34bo3bo61b3o77bob4ob2o\$38bo65bo76b3obob3o\$36b2o68bo75b4o2b2o\$105b2o
\$183b2o2b2o\$183b3ob3o\$184b2o2bobo\$189bo\$191bo\$193bo\$192b2o\$194b4o\$194b
obo\$194b3o2bo\$194bo4bo\$198bo\$196b2o3b2o\$200bob2o\$199bo2bobo\$199b3o\$
200bo3bobo\$201bob2o2bo\$205b4o\$203bobob2o\$204b3o\$205b2o!
``````
All speeds:
• c/2
• c/3
• c/4
• 2c/5, c/5
• c/6
• 3c/8, c/8
• 3c/10, c/10
2c/5 orthogonal is also a new speed in B0H rulespace (but not B2H).
Attachments
hex-gliders.db.txt
542 hexagonal spaceships
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

The final update of 2023, 640 spaceships:
hex-gliders.db.txt
640 hexagonal spaceships
4 knightships were found in 2023. All knightships in one pattern:

Code: Select all

``````x = 244, y = 189, rule = Hex4Knightships
4.2A54.B2.3B56.2C57.D3.2D\$3A.A.2A52.2B2.B.B56.C56.3D3.D\$.A.A3.2A53.B.
B2.B53.C.C62.D3.D\$.A5.A.A51.B2.2B3.B51.2C.C.2C58.2D.D\$3.2A2.A57.B.2B.
2B49.C.C.C2.C55.2D2.4D\$2.3A6.A49.B.3B58.3C2.C51.3D3.D.2D.D\$.A.A.4A.2A
.A54.B51.C4.C.C2.C50.6D2.D.2D\$A2.A.2A.2A2.A48.B2.B3.B.B.2B47.3C.C.2C.
C51.3D.4D3.2D\$3A6.2A.A51.B.B2.B.2B48.C3.C2.2C2.C48.D.D3.D.2D2.D\$5.A3.
A3.A49.B2.4B57.C.C.C50.D4.D3.2D.D\$5.A2.A.A4.A48.B.B.B53.C.C2.C2.C51.D
3.D\$4.A2.3A.A4.A47.3B2.B55.C.2C5.C47.D2.D2.2D\$7.A2.A4.A49.B8.2B46.C5.
C2.C3.C45.D3.D.D2.D\$A5.2A2.4A2.A48.B.B.B3.B.2B44.C.C.2C4.C2.2C44.D2.
2D7.D\$6.2A.2A54.B.B.B.2B49.3C.C.C.C5.C46.D6.2D.D\$8.2A2.A.2A54.B.B49.C
7.C.C.C45.D.2D8.D\$8.2A.2A52.B5.B.4B2.B44.C5.C3.C45.D9.D3.D\$7.3A60.B2.
B2.2B45.C5.C.C.2C45.3D8.2D.D.D\$8.A2.2A2.A55.B.B3.B46.2C7.3C47.D9.D\$5.
A5.A58.B.3B.B3.2B52.2C45.4D6.2D\$14.3A52.3B3.2B.B.B44.C5.C50.3D6.D3.D\$
12.2A57.B2.3B.B.B49.2C.C4.C51.D.D.D\$7.A9.A55.B2.2B.B45.C4.C.C.3C.C43.
D2.2D4.4D\$11.2A2.2A.A51.3B.2B2.2B.B42.2C.3C2.2C3.C.C41.D5.2D.2D\$10.7A
57.B.B4.2B.B39.3C4.C52.D2.D.D.D.2D2.D\$12.A2.2A54.B2.B.B2.B51.C50.3D2.
D.D3.4D\$13.2A2.A52.B.B3.B.B.B.B.B41.2C.C4.C48.D.2D2.3D2.2D\$12.2A3.2A
52.B.B.B6.B.B39.C7.C53.2D2.3D3.D\$12.A3.3A52.B.B3.2B2.B.B2.B38.3C3.5C
48.2D\$11.A2.A3.A.A54.2B.B.2B4.B37.C3.2C.C3.2C50.D3.D.D\$16.A.2A54.2B5.
B3.B.B37.C3.C.2C.3C54.2D\$13.A2.3A3.A52.B4.6B43.2C4.C.C47.3D2.2D.D\$12.
A.A2.A2.2A.2A55.5B.B38.C.C.C3.C54.D.5D\$12.A.2A.A5.3A49.2B.B.B44.C3.C.
C5.C48.D4.D.D\$13.3A4.2A.A55.B2.B3.B39.2C6.2C51.D.D.D\$11.2A.A4.A2.3A.A
49.4B3.3B.B38.C4.C4.C.C50.2D.D.D\$13.A.4A2.A53.B2.B.B.4B45.2C3.C3.C49.
3D\$16.A9.A48.2B5.2B.B.B.B39.C.C6.C47.2D.D2.D.D\$22.2A.A51.B.B6.B43.2C.
3C.C.2C48.2D2.3D.D\$26.A48.B2.B2.2B2.B43.C.C2.2C2.C49.5D3.3D\$15.2A5.2A
3.A50.2B.B3.2B45.2C2.C2.3C46.D.5D3.D\$19.2A56.2B.B2.B3.2B45.C.C2.C52.D
2.D\$17.2A3.A.A.A53.2B4.B.B45.4C.C3.C45.D.5D\$23.3A50.B3.2B4.3B45.C.2C
3.C50.D.D.D3.D\$19.A4.A.2A54.B51.2C.C2.2C49.D\$22.3A.2A53.3B3.B47.C3.C
52.D2.D.D\$21.A3.A56.B.B3.B47.C.2C2.2C48.D2.D.2D\$80.B.3B2.B.2B47.C3.C
52.D2.D.D\$23.A.3A.2A49.2B.2B3.2B2.B42.C2.C3.3C47.2D.D\$22.A2.A2.A52.2B
.2B6.B42.C.C3.4C54.D\$24.2A55.2B.2B2.2B2.B41.3C2.C.3C50.2D.D.2D\$23.2A
4.A53.B4.2B5.B36.C.C.2C.2C3.C49.3D\$24.A7.A48.2B2.B6.B3.B34.C.2C2.2C5.
4C53.D\$22.3A3.A.2A57.B.B.2B2.B33.C2.C2.2C.C3.2C.C45.3D3.2D\$20.A2.A.A.
A.A3.A53.3B2.B4.B30.C.C5.C.2C4.C.C.C53.D\$20.2A.A2.2A4.A53.B3.2B.2B37.
C4.C3.2C57.D\$22.A2.2A.A4.A52.B3.B37.C2.2C.C.4C.C52.D4.D2.2D\$21.A4.3A.
3A50.B.B7.B.B34.2C.C.2C.2C5.C46.2D.D3.D2.D\$24.A.A58.B9.B33.3C.C6.C2.C
52.3D4.D\$20.A.A.2A3.2A52.B4.2B.3B45.C55.2D2.D2.2D\$23.A3.A3.2A53.B.7B.
2B32.2C.2C.C4.C2.C49.D.D.D3.D\$19.A.A.2A4.2A.A53.B3.2B3.B35.C5.C2.2C
52.3D.2D\$18.2A3.2A4.A2.A.A50.3B5.B3.B34.C.C3.C2.4C48.D5.D2.5D\$19.3A.
2A3.A2.A52.B.B2.B44.4C2.2C53.D3.D3.3D\$19.A2.A8.A54.2B9.2B35.C4.C3.C.C
47.D3.D4.2D.D\$21.2A.A7.A53.2B6.B2.B31.C2.C10.2C53.D6.2D\$19.A3.A3.A61.
2B4.B2.2B31.C.2C6.C57.2D5.D\$19.A2.A3.A64.B2.B.4B30.2C3.C3.C.C57.D\$23.
A.A2.A3.A57.B4.B3.B32.C10.C54.D2.D.D.2D\$21.A68.B.B7.B30.C4.C60.2D3.D.
D.2D\$27.A.A58.B3.B.B2.B.B35.2C6.3C52.D5.2D.D\$24.A65.4B5.B33.C.4C59.D
4.D3.D\$24.A3.A.2A58.2B2.B2.B2.B34.C2.2C3.C56.D4.4D\$26.A4.A58.B.2B.2B
2.B33.C2.C.C6.C55.D.D.3D\$26.2A2.4A54.B.B.2B.B3.B2.B29.C4.C2.C2.C3.C
54.D.2D2.D.D\$34.A54.B2.B2.B2.2B36.C5.2C.2C55.2D2.D.D\$30.A2.A55.B2.2B.
B2.B3.2B29.C3.C3.C.C3.C51.2D.2D.2D2.2D\$26.2A.A.2A58.B6.B.B33.C3.3C3.C
54.D.2D.D\$31.A2.2A59.B4.B37.C6.C53.D2.D.D\$29.A62.B2.2B.B2.2B31.3C2.2C
3.C.3C52.D2.D2.D\$28.A2.2A3.A54.B2.2B2.B.2B31.C2.3C2.C.C2.C.C49.D6.D\$
27.A.A.3A58.B2.2B.B3.B35.C.C.C.3C.2C52.D.D2.D\$32.A3.A53.B.B5.2B48.C
50.2D3.D\$28.2A6.3A55.B.B.2B40.C61.2D2.2D\$28.A8.A.A50.B2.3B2.2B39.C63.
D3.D\$32.A60.4B2.2B38.C.C3.2C2.C51.2D3.D3.D\$29.2A.A.A4.A52.B.B.B2.B.B
38.2C3.C5.C48.D2.3D2.D.D\$31.A2.3A57.B.B2.4B37.C3.C3.C50.D3.D2.3D2.D\$
31.A.A4.2A54.B.B2.2B40.2C4.C52.3D.3D2.D\$31.3A2.A61.2B.B.B34.C2.C5.3C
52.D7.2D\$31.2A2.2A57.B2.B.B2.B36.3C4.4C51.D2.3D3.D\$32.6A57.B.B.2B2.B
2.B35.C57.D2.D4.D2.D\$35.A2.A58.B.4B2.B37.C6.C50.2D.D3.D\$31.A.2A.A60.B
3.3B37.C2.C5.2C49.3D.2D4.D\$30.A2.A4.A56.B2.B4.3B36.3C3.C.2C54.D.3D\$
34.A3.A60.B2.B.B44.C54.D2.D5.D\$32.A.A.A60.B2.B44.C60.D2.D2.D\$34.A.A
59.B2.B.2B2.B.2B35.2C6.2C50.D.D\$36.A64.B.B.2B40.C3.2C54.D\$99.B.2B.B
43.C2.2C52.D.D.D\$39.A59.B.B2.B42.C4.C52.3D\$35.2A.A58.B.3B.B.B41.2C.C.
C.C49.D4.D\$35.A62.B4.2B43.3C54.D3.D\$38.A63.2B.2B39.C3.3C51.2D2.2D.D\$
35.A3.A63.B.B41.2C62.2D\$39.A62.2B42.C.3C2.2C49.D7.D\$38.A2.A60.B3.B42.
C2.C50.D.D4.4D\$38.3A63.2B48.2C48.D6.D\$37.A3.A61.2B.B42.3C3.C48.2D6.D.
D\$106.2B41.C.2C53.3D3.D\$42.A60.B4.B41.3C.C53.2D2.D.D\$38.A3.A60.B.3B
46.C53.2D2.D\$39.A65.B2.B.2B36.C.C58.D2.D.D\$40.2A.A106.3C3.C53.D.D\$42.
A.A64.4B40.C.3C50.D4.D\$38.A.A.A108.2C.C53.2D2.D2.D\$39.3A70.B37.C3.C2.
C51.D3.D.D\$39.4A109.C.3C2.C50.D.D.D\$41.3A107.C8.2C46.5D.D\$41.A2.2A
106.2C3.C.2C46.D.3D.D3.D\$42.A109.C2.2C.C2.C45.D2.2D.2D.D\$45.2A107.C.C
.C.C48.2D2.D2.D\$47.A110.C.C47.D2.D2.D\$43.A3.A107.3C2.2C50.D.2D\$46.2A.
A109.C2.C50.2D\$43.A.A2.A108.C3.2C45.2D7.D\$47.2A.2A104.2C\$44.2A.A2.A
158.D.D.D3.D\$52.A105.3C54.2D\$44.2A3.A.A107.2C50.2D2.D.D\$47.4A.A104.C.
C.C49.D2.3D2.D\$46.2A.2A.A103.2C.C60.D\$49.2A105.2C2.C.C48.D2.D3.2D.D\$
47.2A109.C2.C57.D.D\$48.A4.A107.C56.D.4D\$47.A6.A107.C53.4D3.D\$157.2C.
3C58.2D.D\$54.A102.3C.C2.C54.D\$157.2C.C.C.2C53.D\$54.A101.2C2.3C2.C53.D
2.D.D\$158.2C2.2C53.D.D.D.2D\$157.C6.2C51.D.D2.4D\$154.C63.D5.2D\$154.2C
2.C.C.C54.D3.3D\$162.C.C51.D5.D\$155.C61.D4.5D\$157.C62.D.D3.D\$155.C2.C
58.D6.D\$154.C3.C59.D7.2D\$222.2D.2D.D\$160.2C56.D3.D.2D\$156.C2.C2.C61.D
.3D.D\$160.2C61.D\$156.C.2C3.C60.D4.D\$155.C4.C62.2D2.D\$155.C2.C.C64.3D.
D2.D\$160.C.C63.4D\$158.C.C2.2C61.D2.4D\$229.3D\$156.C2.2C68.D2.D\$159.3C
71.D\$157.C2.3C66.D2.D\$164.C67.D\$164.C64.2D2.D\$158.C.C2.2C67.3D\$160.C
2.2C68.2D\$160.C.C4.C66.3D\$163.C.2C67.D2.D\$165.C.2C63.4D\$161.C6.C65.D
2.D\$234.D\$168.C65.3D\$169.C65.D\$170.C63.D2.2D\$169.2C67.D.D\$170.2C67.D\$
172.C62.3D2.D\$172.C64.2D\$171.C.2C64.2D\$170.C67.D2.D\$170.C.C.2C64.D2.D
\$173.2C64.D.D.D\$170.C5.2C64.D\$170.C5.C64.3D\$178.C\$169.C3.C\$172.C.C\$
178.C\$173.C!
[[ TRACK 1/10 -3/5 ]]

@RULE Hex4Knightships

#State 1 (red):       B256/S256H
#State 2 (yellow):    B25/S25H
#State 3 (lime):      B256/S25H
#State 4 (blue):      B25/S256H

@TABLE

n_states:5
neighborhood:hexagonal
symmetries:permute

var a={1,2,3,4}
var b={0,1,2,3,4}
var c=b
var d=b
var e=b
var f=b
var g=b

0,a,a,0,0,0,0,a
0,a,a,a,a,a,0,a
a,a,a,0,0,0,0,a
a,a,a,a,a,a,0,a

0,1,1,1,1,1,1,1
0,3,3,3,3,3,3,3
1,1,1,1,1,1,1,1
4,4,4,4,4,4,4,4

a,b,c,d,e,f,g,0

@COLORS

0 0 0 0
1 255 0 0
2 255 255 0
3 0 255 0
4 0 0 255
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

Posts: 1248
Joined: May 7th, 2016, 8:53 am
Contact:

### Re: Outer-totalistic hexagonal rules with spaceships

Failed spaceship, after fuzzing a sparky one, got a small, probably known puffer:

Code: Select all

``````x = 7, y = 11, rule = B25/S34H
5bo\$bobo\$ob2obo\$o5bo\$3bo\$2o\$3bo\$bo2bobo\$2b3o\$3b2obo\$5bo!
``````

b-engine
Posts: 1323
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

### Re: Outer-totalistic hexagonal rules with spaceships

February 1st, 2024, 3:01 am
Failed spaceship, after fuzzing a sparky one, got a small, probably known puffer:

Code: Select all

``````x = 7, y = 11, rule = B25/S34H
5bo\$bobo\$ob2obo\$o5bo\$3bo\$2o\$3bo\$bo2bobo\$2b3o\$3b2obo\$5bo!
``````
Complete 16c/32 spaceship, found when trying to corderize the puffer:

Code: Select all

``````x = 18, y = 16, rule = B25/S34H
6bo\$5bo2\$o5bo4bo\$5bo4bo\$7bo4bo\$3b2o\$3bobo\$2bo3bo3b4o\$bo5bo6bo2bo\$3b2o
5bo3bo\$2b4obo\$4b3o4b3obo\$12b3o\$13b2obo\$15bo!
``````
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

-

100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

-

Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

### Re: Outer-totalistic hexagonal rules with spaceships

Another update (668 gliders):
hex-gliders.db.txt
668 hexagonal spaceships
Using new feature of new-glider.py, I removed all redundant ships except two:

Code: Select all

``````>>>+

Glider 71 is made redundant by glider 69.
12x7 (1,0)c/2 B0136/S124H - B0136/S124H
8x8 (1,0)c/2 B0136/S124H - B0136/S124H

Glider 168 is made redundant by glider 169.
4x3 (0,1)c/4 B013/S1H - B01356/S01H
4x3 (0,1)c/4 B013/S1H - B01356/S01H

Total redundant gliders: 2

>>>71
#C Glider 71, c/2 orthogonal (period 2/2)
#C Discovered by AlephAlpha, 2019
#C
#C B0123456 S0123456 H
#C  XX-X--X  -XX-X--
#C
x = 12, y = 7, rule = B0136/S124H
5bo\$6b2obo\$bo3bob2o\$2obobo3b2o\$4b4o\$3bobo2b4o\$8b2obo!

>>>168
#C Glider 168, c/4 orthogonal (period 4/2)
#C Discovered by May13, 2022
#C
#C B0123456 S0123456 H
#C  XX-X-     X-----
#C
x = 4, y = 3, rule = B013/S1H
3o\$3o\$bobo!

>>>69
#C Glider 69, c/2 orthogonal (period 2/2)
#C Discovered by AlephAlpha, 2019
#C
#C B0123456 S0123456 H
#C  XX-X--X  -XX-X--
#C
x = 8, y = 8, rule = B0136/S124H
bo\$2bo\$bo3bo\$3b2obo\$2ob3o\$2bo2bobo2\$5bo!

>>>169
#C Glider 169, c/4 orthogonal
#C Discovered by May13, 2022
#C
#C B0123456 S0123456 H
#C  XX-X-     X-----
#C
x = 4, y = 3, rule = B013/S1H
3o\$3o\$2b2o!
``````
Glider 168 and glider 169 are natural, so I kept them both in the database.
About glider 71, there is an unusual case:
Glider 71 is redundant in B0H rulespace, but not in B2H rulespace.
B2H equivalent:

Code: Select all

``````#C Glider 33, c/2 orthogonal (period 2/2)
#C Discovered by AlephAlpha, 2019
#C
#C B0123456 S0123456 H
#C  --X-X    X--X-
#C
x = 12, y = 7, rule = B245/S0356H
5bo\$6b2obo\$bo3bob2o\$2obobo3b2o\$4b4o\$3bobo2b4o\$8b2obo!
``````
Important thing: all spaceship entries in this version of the database are optimized by the area of the bounding hexagon (not box!).
For example, glider 30:

Code: Select all

``````x = 11, y = 13, rule = B245/S25HHistory
8BAB\$2BABA2B4A\$5B4ABA\$A2BA5BAB\$BAB3A2BA2B\$2BAB3A2BAB\$.BA2BAB3AB\$2.2B
3A4B\$3.2A2BA3B\$4.4BA2B\$5.2AB3A\$6.4BA\$7.2BAB!
``````
the area of the bounding hexagon of this pattern is 114.
Script for calculation of the area of the bounding hexagon:

Code: Select all

``````import golly as g
triangular = lambda x: x*(x+1)//2
def calculate(cells):
x = cells[::2]
y = cells[1::2]
z = [x[i] - y[i] for i in range(len(x))]
x1 = min(x)
x2 = max(x)
y1 = min(y)
y2 = max(y)
z1 = min(z)
z2 = max(z)
return (x2-x1 + 1) * (y2-y1 + 1) - triangular(x2-y1 - z2) - triangular(y2-x1 + z1)
for i in range(int(g.getstring("Period:"))):
g.note(str(calculate(g.getcells(g.getrect()))))
g.run(1)
g.reset()
``````
For spaceships in B0H self-complementary rules, I replaced the periods/mods with the periods/mods of their B2H equivalents. For example:

Code: Select all

``````#C Glider 225, c/5 orthogonal
#C Discovered by LaundryPizza03, 2022
#C
#C B0123456 S0123456 H
#C  --X-XX   ---X-
#C
x = 25, y = 8, rule = B245/S3H
3bob2o11bo\$2bo8bo5bobo\$bob2o2bo4b2obob2o\$2b2o4b2o2b2obobobo\$b6o4bo3bobob
obobo\$3o2bobo2bo2bo4b5o\$3bo6bo3bo5bobobo\$2bo3bo!

#C Glider 226, c/5 orthogonal
#C Discovered by LaundryPizza03, 2022
#C
#C B0123456 S0123456 H
#C  XX-X---  XXX-X--
#C
x = 25, y = 8, rule = B013/S0124H
3bob2o11bo\$2bo8bo5bobo\$bob2o2bo4b2obob2o\$2b2o4b2o2b2obobobo\$b6o4bo3bobob
obobo\$3o2bobo2bo2bo4b5o\$3bo6bo3bo5bobobo\$2bo3bo!
``````
Despite working in a strobing rule, glider 226 is still a period-5 pattern because the set of plain cells repeats with a period of 5.
https://conwaylife.com/wiki/Pattern wrote: Only those patterns that have finite complexity can be studied. Most typically this is accomplished by establishing a vacuum: requiring the existence of a cell type that, in a neighborhood of no other cells, will remain the same type. A finite pattern, then, is a pattern where infinitely many cells are in the vacuum state, and a finite number in all other states. The vacuum state cells will be known as dead cells, all others as live cells, or "plain" cells.
New speed in B0H rulespace: c/11 orthogonal

Code: Select all

``````#C Glider 627, c/11 orthogonal (period 44/2)
#C Discovered by May13, 2024
#C
#C B0123456 S0123456 H
#C  XX-X-XX  XX-----
#C
x = 4, y = 3, rule = B01356/S01H
3o\$4o\$bo!
``````
Unrelated to the database:
February 1st, 2024, 3:01 am
Failed spaceship, after fuzzing a sparky one, got a small, probably known puffer:

Code: Select all

``````x = 7, y = 11, rule = B25/S34H
5bo\$bobo\$ob2obo\$o5bo\$3bo\$2o\$3bo\$bo2bobo\$2b3o\$3b2obo\$5bo!
``````
This has been known since 2023: viewtopic.php?p=163227#p163227
(2,1)c/6 partial:

Code: Select all

``````x = 34, y = 62, rule = B24/S34H
2bo\$2bob2o\$5obo\$b2o2bo2b2o\$bob2obob3o\$2bo2bobo\$obo7bo\$obo3bob2o\$3b2o2b
2o2bo\$bobo2b2o4b2o\$2bobobo5b4o\$7bo3b2o\$4b2o2bo3b3o\$3bob3o6bo\$5b2obo\$4b
6o2bobo\$5bo4bo3bobo\$4b2o2b2obo3b2o\$6bobo3bo2bo\$5bobo3bob2obo\$6b3o3b4o\$
6b2o2bobobobob2o\$8b3ob2o4bo\$11bob2o2bo2bo\$11bo4bo2b2o\$9bobobobo5bo\$8bo
3bob3o3b3o\$9bob8o2bo\$9b2ob5obobobo\$11bob2o2bobobo\$9b4o4bob2o\$9bobo2bo
3bo3b2o\$10bobo4b2obobo\$9b7o\$11b4ob3obo\$12b2o5b3o\$9bob2o2bo2bo3bo\$12b2o
3bo3bo\$18bobobo\$11bob2ob2ob4o\$10bo6bob3o\$11bo4bo2b2o\$11b2o2b2ob2ob2o\$
11bob2o6b2o\$14b8o3bo\$14bo4b2obobobo\$11bo2b3ob5obo\$14bob2ob2ob2obo\$13bo
bob2o5b3o\$16b2ob2obo2bo2bo\$15b5obo2b2o\$16b2ob2o5bobo\$15bob2o3b5obo\$16b
2obob2obo2b3o\$17b2obo2bo4b2o\$16bo5b3o5bo\$19b2o2bo3bobo\$20b2ob2ob2o\$19b
5o6bo\$20b5o3bobo\$19b2o7b5o\$19b2ob3ob2o2b2obo!
``````
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3