The other five interesting self-complementary outer-totalistic rules

[DroneBetter]

On Sunday, I finished my page, User:DroneBetter/self-complementary outer-totalistic rules. I initially intended for it to contain a 16*16 table of the 256 conjugacy classes of self-complementary outer-totalistic rules, iterating through B1234 in the x axis and B5678 in the y (birth conditions uniquely determining survival conditions). However, LaundryPizza03's disproofs of existences of spaceships (as used in my OT map in Spaceship#In_other_rules) revealed that at least one of B5678 must be on (to allow one of S0123 to be off), and in fact the x axis's conditions are constrained to B2, B24, B3 and B34, leaving a 4*15 table. (If a disproof is found for B348/S123678 and B248/S123578, this may be reduced to 4*14.)

Happily, Gray coding both axes puts Geology, Holstein and Day & Night adjacent to each other.

However, though these three have pages of their own, there are four others which also harbour spaceships without being explosive, but have not been bestowed with such, together with a fifth in which chaotic regions have a tendency to explode, but fluctuate so much that soup-sized ones fizzle out first, making it apgsearchable as well.

There are 42 others with spaceships (of which 22 are B2, with many photons), that are too explosive to be apgsearchable, as such they are not listed here, but you can see them in the table in the aforementioned page.

Also, has anyone found a disproof for spaceships in B34567/S0678 (the one in which chaotic regions tend to turn into strobing mazes, with wickstretcher protrusions but seemingly no method of creating receding edges, and one of David Eppstein's "Most Wanted" list), or its neighbour, B345678/S678 (which behaves similarly, albeit without the wickstretchers)?

I will list them by current object count, across all censuses. The spaceships shown are from LaundryPizza03's new-gliders.db (the most recently-updated version of Eppstein's glider database I could find), as well as Catagolue.

B356/S014678 (chaotic, 25 billion objects)
Spaceships of speeds c/2 (supporting wickstretcher!), 2c/5, c/3, 2c/7, c/4, c/5, c/6, c/7, (1,1)c/3 (enabled by the presence of S4w), (1,1)c/4, (1,1)c/5, (1,1)c/6.

Code: Select all

x = 174, y = 155, rule = B356/S014678
2b3o5b3ob4ob3o5b3o5b4o6b4o9b4o8bobo6b3ob3o6b3o8b3o8bob4o18b4o14b3o10bobo$obobobobobobo6bobobo2b5o3bo2bo8bo2bo8b4o10bo6bo2bo2bo5b5o6bobobo9b2obobo19b2o12b4o7bo3bo$3bo7bo3b2o3bo5b2ob2o2b2obo3bo2bo3bob2o6b6o7b2o7b7o4bo5bo5bo3bo7b4o4bo18bo9b3o3b2o6bobob2obo$35bob2o6b2obo8b6o9bobo4b7o3bo3bo3bo17b2o2b2o16bob2ob2o7b2o2bobo7b6ob2o$28bo6bo2b2o4b2o2bo8bob2obo8bo2bo5b5o4bob5obo16bo4b2ob2o8bo3b2o4bo7b5o10b6o$27b3o27b6o9bo5b9o4b2ob2o7b3o8bobo6bo9b3ob4o7b7obo9b6o$35bo2bo6bo2bo6b3ob2ob3o9bo4b7o5bo3bo8bo7bob3o4b3o9bo2b2obo8b9o6bob6o$28bo7b3o6b3o8b2o4b2o9bo4bo2b3o2bo3bo2bo2bo5b2ob2o5b2o2b3ob4o14bo7b11o4b2obo2b3o$27bobo8b2ob2ob2o8b2ob2o2b2ob2o6bobo4b7o5b2ob2o6bo3bo3b2obo3bo2b2o10bo3b3o6bob8o6bob3o2b2o$28bo12b2o13b3o2b3o16b5o4b2o5b2o11bob3o3b3obobo8bob2o3bo6bob6o9b3obo$38bobo2bobo10b2ob2ob2o9bobo4b5o4b3o3b3o16b3o12bo2bo6bo4bo2b7o4bo$35bo3bo4bo3bo7b8o8bobo3b9o4bobobo14bobobob2o11b3obo11bo2bob2o6bob5obo$33bo2bo10bo2bo3b12o5b3o4b2ob3ob2o3bo2bo2bo6bobo8b2o12b2o2b2o15bobo4bob3o2bobo$36bobobo2bobobo8bo2b2o2bo8bo6b2obob2o5bo3bo5b2o3b2o4bo2bo14b3o9b2o3bo2bo4bob4obobo$38bo2b2o2bo8b2ob2o2b2ob2o3bob2o6bo2bo2bo4b2obob2o5bobobo7bo12bobo14bo3bo8b6o$36bo2bo4bo2bo9b2o2b2o5bobo10bobo17b7o21bo12b2obo8b7o$35b2obo6bob2o32b3o6bo2bo2bo4b2o3b2o15bobobo14b2obo8b8o$35bo3bo4bo3bo10b2o29bobobobo4b7o16b2o24b8o$36bo2bo4bo2bo34bo7b7o5b5o16bobo26b5o$37b2o6b2o11bo2bo38bob5obo13bo2bo26b7o$39bob2obo12b2o2b2o26b2ob3ob2o3b3ob3o12bo2b2obo23bob3ob2o$37b2o6b2o11bo2bo28b2obob2o3bobobobobo11b2o24bob3o2bob3o$34b3o4b2o4b3o7b6o26b2ob3ob2o3b7o12bobo22bo2bobo2bo$33bo2bo10bo2bo6b6o39bobobo14bo24b5o$32b2obobo8bobob2o39b5o6bobobo14bo23b6o$35b2o10b2o7b2o4b2o26bobobobo4b2obob2o35bob5o$35bobo8bobo7bo6bo27b2ob2o7bobo38b5o$36bo10bo8bo6bo29bo10bo39bob5o$57b6o28bo3bo45b2obobo$55b10o25b3ob3o45bob4obo$55b3ob2ob3o24bobobobobo44b5o$54b5o2b5o23bo3bo3bo43bob2o$58b4o78bo$90bo5bo40bo$55b2o6b2o27b3o42b4o$55bo2bo2bo2bo28bo45bo$59b2o30bobobo$56bobo2bobo25bobobobobo$55b2o6b2o26bobobo$55bo2bo2bo2bo28bo$57b2o2b2o28b5o$58b4o28b2obob2o$55bo8bo24bob5obo$90bo2bo2bo$54b2o2b4o2b2o26b3o$55b10o26b5o$55b10o25bob3obo$57b6o29bobo$54b2o3b2o3b2o25bobobo$56bo2b2o2bo29bo$59b2o$54bo4b2o4bo26bobo$55bobo4bobo28bo$56b2o4b2o27bo3bo$57bo4bo29bobo2$58bo2bo29bo3bo$57bo4bo28bobobo$59b2o30bobobo$56bob4obo28b3o$57b6o$57bob2obo27bo5bo$57b6o28bobobo$57b6o30bo$92bobo$58b4o29b2ob2o$56bo6bo29bo$59b2o$59b2o29bo5bo$56bo2b2o2bo27bobobo$55b2obo2bob2o28bo$57bo4bo29b3o$55b3o4b3o27b3o$90bobobobo$54bo10bo24bobobobo$56bo6bo26bo5bo$56bo6bo27b2ob2o$57bo4bo30bo$56b2o4b2o29bo$56b2o4b2o27bobobo$58bo2bo30b3o$56bo6bo27b2ob2o$56b3o2b3o28b3o$56b2o4b2o27b5o$57b2o2b2o29b3o$57bo4bo29bobo$55bobob2obobo27b3o$54bob2ob2ob2obo25bo3bo$57b6o29b3o$57b6o29bobo$57b6o26b2o2bo2b2o$57b2o2b2o26b3o3b3o$56b2ob2ob2o26bobobobo$55bobob2obobo27bobo$54bobobo2bobobo24bob3obo$58b4o28bo5bo$54bo2b6o2bo25b5o$55b10o25bo2bo2bo$57bob2obo27bo2bo2bo$56b2ob2ob2o27b2ob2o$55bobob2obobo25bobobobo$57b2o2b2o27bob3obo$54bobob4obobo23bobobobobo$58b4o28b3ob3o$55b3ob2ob3o26bobobo$57b6o27bobobobo$56b3o2b3o26bo2bo2bo$56bo2b2o2bo26b3ob3o$58bo2bo30b3o$56b2ob2ob2o25bob5obo$56b2ob2ob2o27b5o$56b3o2b3o28b3o$56b8o25b9o$57b6o28b5o$58b4o29b5o$57bob2obo29b3o$57bob2obo28b2ob2o$57b6o28bo3bo$56b8o29bo$56bob4obo$55b2o2b2o2b2o$56bob4obo$55b2o2b2o2b2o$58b4o$57bob2obo$54b3ob4ob3o$58b4o$57b6o$56b8o$56b3o2b3o$54bob3o2b3obo$56bob4obo$57b6o$55b3ob2ob3o$56b2o4b2o$58b4o$55b2obo2bob2o$55b2ob4ob2o$57b6o$57bo4bo$57bo4bo2$58bo2bo$55b2obo2bob2o$56b8o$55bo2b4o2bo$56b2ob2ob2o$56b3o2b3o$55bo2bo2bo2bo$54bo4b2o4bo$59b2o$58b4o$58b4o$57b6o$59b2o!

B367/S034678 (chaotic, 3.5 billion objects)
One self-complementary transition (B8/S0) from Day & Night.
c/2, 2c/4, 2c/5, c/3, c/4, c/5, c/6, (1,1)c/4, (1,1)c/5, (1,1)c/6

Code: Select all

x = 127, y = 44, rule = B367/S034678
3ob4ob3o4b3o10b4o9b4o6b3o3b3o6b5o5b5o3b4o12b4o17b5o$2ob2o2b2ob2o3bobobo4b6o2b6o5bob2o4bo2bobobo2bo5b5o5b2ob2o4b3o13b3o16b4obo$2bobo2bobo4bob4o3bob3obo2bob3obo3bo5bo3b3o3b3o5bob2obo5bo3bo3bobobo10bob3o14b3ob2o$2bo2b2o2bo5bo4bobob4o2b2o2b4obo7bo6bo3bo7b2o2bo8bo5b2o2b2o8bobo2bo13bo2b5o$3bo4bo5bo2b2o4b4obo4bob4o4b4obo3b2o5b2o15b3ob3o4bobo8b3obo12b2ob5obo$15bo8b3obob2obob3o7bo2bo2bob2o3b2obo14bobobobo2bobobo7bob3o12bo2b5ob2o$23b6ob2ob6o6bo5bob2o3b2obo15b2ob2o14bobobo12bo3bo2b2obo$23bob3o6b3obo5bobo5b3o3b3o17bobo14bobobo12bobo2bo2b2o$23bob2o2b4o2b2obo13bo7bo16bobobo12bobobo14b2obo3bo$24bobo2b4o2bobo7bo7b2o3b2o18b3o12bobobo14bob3obo$24bo12bo14b2o2bo2b2o16b5o9bob2obo14bo4b3o$29b4o20b2o3b2o18b3o8b3ob3o15bo2bobobo$25bo2b6o2bo15bobobobobo15bobobobo4b3ob2o15b2o2b3o2bo$25b2o2b4o2b2o15bobo3bobo14bobobobobo2bob7o13bo2b2o2bo$23b2o2b8o2b2o12b2o2b3o2b2o13b2o5b2o3b5obo13b5o$22bobob2o2b2o2b2obobo12b2o5b2o15bobobobo4bob5o12b7o$23b2ob3ob2ob3ob2o14b2obob2o15b2ob3ob2o6b3o12b8o$25bo2b6o2bo13bob9obo12b3o3b3o5b2obo11b9o$25b12o13b2obob3obob2o16bo11bo11b8o$26bob6obo18bo3bo18b5o18b2ob6o$26b3o4b3o18bobobo19b3o19b9o$28bob2obo18bobobobobo18bo18b11o$27bob4obo18b7o17b5o17b8o$26b10o19bobo18b7o15bob7o$26b10o16bo7bo13b11o12b9o$26b10o16b2o5b2o14bob5obo14b5ob2o$29b4o18bo9bo13bob5obo15b2o2bo$29b4o18b3o5b3o14bob3obo11bo2b3o$28b6o16b4o5b4o14b5o17bobo$27b8o15bob3o3b3obo13bob3obo10bob3ob2o$27bob4obo17b2o5b2o17b3o11bo2b2o$27b8o18bo5bo15b3obob3o8bo3b2o$29b4o42b9o10bo$29bo2bo19b3o3b3o15b7o9b3o$30b2o19bo9bo16bobo5b3ob2o$76bob3obo3bo2b3o$50b3o7b3o13b7o3bo2b2o$53bo5bo28bo$52b2obobob2o27b2o$53b2o3b2o18bobo7bo$53b2obob2o16bo5bo$52b2o5b2o$53b3ob3o$54b5o!

B3567/S04678 (stable, 1.2 billion objects)
One transition (B8/S0) from Holstein.
c/3, c/4, c/5, c/6

Code: Select all

x = 65, y = 55, rule = B3567/S04678
8b6o11b3o7b3o4b3obob3o5b7o$10b2o12b2ob2o5b2ob2o4bobobobo7b5o$5b3o6b3o8b3o7b3o3b2ob5ob2o4bobobobo$7b2o4b2o10bo2bo5bo2bo4bo2b3o2bo3bobo2bo2bobo$2b3o12b3o6bobo5bobo7b5o5bo2bo3bo2bo$2o6bo4bo6b2o4bo2bo3bo2bo8b3o8b7o$bo5b2o4b2o5bo4bo5bo5bo6b5o6b9o$2obo2bo8bo2bob2o3b2ob2o3b2ob2o5b7o5bob5obo$o2b7o2b7o2bo3bobob5obobo5b3ob3o5b2o5b2o$b2o7b2o7b2o5b2ob5ob2o8b3o6b4obob4o$3b2obob2o2b2obob2o8bob5obo8bo3bo$2b3o5b2o5b3o7bob5obo20b7o$5bob2o4b2obo9b2obobobob2o20bo3bo$6b2o6b2o9bo3b5o3bo16b2obobobob2o$8b6o12b2ob5ob2o19b2obob2o$25bobobobobobobo17b2obobob2o$8bob2obo12bo2bobobo2bo17bob7obo$31bo23b2ob3ob2o$25b3o2bobo2b3o16bo4bo4bo$25b3obo3bob3o17b2ob3ob2o$27bobo3bobo20b7o$27b2ob3ob2o18b5ob5o$25b6ob6o17b9o$24b2ob9ob2o17b7o$25b5obob5o18b7o$26b11o22bo$25bob9obo19b5o$26b2ob5ob2o20bobobo$25b3obobobob3o19b5o$24b2obobo3bobob2o17bob3obo$24b3o2b2ob2o2b3o19b3o$27b2o5b2o20bob3obo$26b2o2bobo2b2o21b3o$26bob3ob3obo18b2ob3ob2o$26bob2obob2obo17b2ob5ob2o$24b15o16bo2bobo2bo$26b11o19bobobobo$26bob7obo22bo$28b7o21b7o$28b7o20bobobobobo$30bobo21b2ob5ob2o$30bobo22b4ob4o$31bo25bobobo$57bobobo$56b7o$58b3o$55b2ob3ob2o$57b5o$56b7o$55b9o$57b5o$56bob3obo2$58bobo$59bo!

B34678/S3678 (just barely explosive, 0.7 billion objects)
One transition (B4/S4) from Day & Night.
2c/4, c/3, c/4, c/5, c/7 (as well as a wickstretcher at this speed with both a fencepost and a 3c/27 backend), (1,1)c/5, (1,1)c/6, (1,1)c/7

Code: Select all

x = 150, y = 91, rule = B34678/S3678
b3o9b5o12b6o5b8o5b6o6b5o6b5o6b5o13b3o19b3o15b3o$obobo8b2ob2o11bob4obo4b2o4b2o7b2o6b2obobob2o2b2obobob2o2b2obobob2o8bob2ob2o15b2ob4o15bobo$5o5b2o7b2o9b6o5b3o2b3o5bob2obo6b5o6b5o6b5o9bobob2o2bo20bo11b7o$o3bo5bobo5bobo8b8o6bo2bo6bobo2bobo3b9o2b9o2b9o10bob2o2bo10bobob4o2bo8bob2ob2obo$obobo4b3o7b3o6bob6obo5b4o8b4o6b7o5b5o6b5o8b2obob4ob2o13bob4o9b5obo$7bo2bo9bo2bo4b10o3b8o4bob4obo3bob5obo2b2obobob2o2b2ob3ob2o7bo3b5obo7b2obob4o2bo7bob7o$b3o3bo2bo9bo2bo5b8o17b6o8bo8b5o5bobobobo4b4o4b3ob3o10b6obo7b2o2b6o$7b4o9b4o3bob8obo3b2o2b2o6b2o2b2o6b5o31bob2o3bobo8b2ob4o12b3ob3o$2b2o3bo15bo7b4o9b2o7b2o4b2o35b7ob2o2bobo7bobo2b3obobo7b6ob3o$b3o6b2o7b2o9b6o8b2o7b2o4b2o50bo6b2ob6o2bo5bo4b3o$3o6b2o9b2o10b2o9b4o9b2o39bo2bobob2ob2obo6b2o3b3o2b2o6bo2bo2b4o$2bo8bo7bo12b2o9bo2bo7b2o2b2o40bo3bobobo12bo2bob2o6bobob2obobo$9b3obo3bob3o9b4o18bo6bo32bob8obobo10b2obobo2bo9bobo3bo$11bobo3bobo10b6o6b2o2b2o7b4o34bo2bob3o3bobo10bo3b3o9b2obobo$10b2ob2ob2ob2o11b2o7b2ob2ob2o5bo4bo31b2o2bobob2o3bobo10b3obo7bobo3bobob2o$30b6o5bobo2bobo3bob2o2b2obo29bo3bo2bobobobo6bo3bobo11bobob2obobo$30b6o5bo2b2o2bo40bo2b2obo3b2o3bo4b2ob2o4bo9bobo3bobo$31b4o7bob2obo4b2ob4ob2o27b2o2bob4obo9b3obo13bo$29bob4obo4bob4obo4bobo2bobo26bo2bob3o13bob5o2bo9bob3o2b2o$42b6o5bo2b2o2bo25bo2b2o3b3o2b2o6b8o12b2o2bobo$31b4o6bob4obo5b2o2b2o24bobo3bo3bobobo7b3ob4o2bo8bob3obo2b2o$44b2o8b2o2b2o24bobo3bo6b2o9b8o7b8ob2o$41b2o4b2o5bo4bo23b2o6b5o10bob5obo10b2ob4o$55b4o24b2o8bob2o6bob9obo10b3o$42b6o4b2o2b2o2b2o18b5o17bob2ob5o9bob3ob3o$53b2o4b2o21bo11bo7bobobobo4bo8b4o2bo$42bob2obo5bo6bo19bo10b3o9bo2bob2ob2o6b2o2b3o2bo$54b6o44b6o7bob2obobo$43b4o8bo2bo18bob3o6b5o14b3o9bobo3bo$42b6o27b2obobo7b3o25b3obob2o$42bo4bo7b4o17bobobo6b2o25bobobo2b3o$42bo4bo26b2obo6bo3bo23b3o3b3o$75b2o5b3obobo22bobo6bobo$74b3o7bo26bobo2bo2b2o$42b6o34b2o28bo$42bob2obo33bo2bo24b2o2b2o3b2o$41bo2b2o2bo30b2ob2o23b2ob2o2bob3o$43bo2bo32b3obo23bob2o4bo2bo$42bo4bo31bobo23bobob2o2bo2b2o$105bo5b4o$104bob3o2b2obo$106bob2o3bo$103b4o2bob3o$103bo3b3o$101bob3obo2b2o$102bo2bobobo$100b3o2b3o$98bobo2b2o$99b3obobo$95bobob5o$97bob3o$93b2o2b2o3bo$93b8o$95bobo$90bob3ob2o2bo$89b2ob4ob2o$88bob6ob2o$88bob6o$88b6o$84b2ob9o$86b6o2bo$83b2o2b7o$81bo2bob5o$81b2o2b3obo$79bo5b2o3bo$79bo4bo2b2obo$81bobo4bo$80b3o3bo$78bob4o2b2o$77b2ob3o$75bobo6b2o$77bo2b2o$76bob3o$72b2o3bo$72bob2o3bo$73bobo$68bob2ob2obo$69b3o3b2o$68b6o$65bob7o$64bo2b6o$62b10obo$66b5o$62bob5o$60bo5bobobo$59bobobo2bob2o$61bo2bo3bo$61b2o3bobo$62b3o$65bo$64bo!

B3568/S14678 (chaotic, 0.3 billion objects)
One transition (B7/S1) from Holstein.
c/2 (with wickstretcher), 2c/5, c/4, c/6, c/7, (1,1)c/3, (1,1)c/4, (1,1)c/5, (1,1)c/6

Code: Select all

x = 156, y = 87, rule = B3568/S14678
65b4o26bo33bo22b4o$4b3ob2ob3o9b3o8bobo6bobo7b2o10bo2bo28bo19bo10bo26bo$3b2obo4bob2o7b2ob2o8bo8bo6bob2obo6b3o2b3o6bo2bo13b2o2b2o13bobobo9bob3o18bo2b3o$3bo10bo6bob3obo5b5o4b5o3bobo2bobo4b10o5b4o14bobob2o15b4o8bob3o17bo$3bo3bo2bo3bo4bob7obo4b3o6b3o3b2ob4ob2o3b10o5b4o11b2o3bo2b2o9b2obob2o7bobob2ob2o17b2obo$bo3bobo2bobo3bo3b2ob3ob2o4b2o10b2o5bo2bo8b6o23b2ob3o2bo8bo2b2o3bo11b4o13bo6bo$o5bo4bo5bo4b5o6b2ob3o2b3ob2o3bo2b2o2bo4b10o4bo4bo9bobo2b5obo9b5o6bo2bo2bobobobo10bo2bo2b2o$2bob2o6b2obo6b5o8b3o4b3o7b4o7b8o5b6o7b2ob7o12b5o2bo4bobo2bo3bobo10bo3bobo$o4bo6bo4bo3b7o5b5o4b5o4bo4bo6b8o3b10o3b2o2b2ob3o3b2obo9b2obo7bobo4bobo14b2obo$20b9o5b3o6b3o7b2o7b10o3b8o4b2o2bo2b3obo2bo8b2obo2bo7b2obobo12b2obo3b2o$21b7o5b2ob2o4b2ob2o16b8o4bobo2bobo5bobo5b4o8b4o3bo5bob4obo2bo9bobo$20b9o6b2o6b2o6b6o5b3ob2ob3o6b2o9b2o4b2o2bo7b4o10b7o15b2obobo$19bob7obo4bob2ob2ob2obo4b2ob2ob2o6bob2obo24b2obo7b6o9bo2b3o2b2o13bobo$19bob7obo5bob6obo4bobo4bobo7b2o7bob4obo9b2o2bo5b8o8bob3obo14bo2bo4bo$20b9o9b4o7b2o6b2o6b4o6b8o9bo3bo6b6o8b3o2bob2o12bo2bob3o$20b9o7bo2b2o2bo6b2o4b2o7b4o24b3o6bob5o8b3o2b2o15bo4bo$21b7o10b4o9bo4bo7bob2obo5b8o11b2o6bo2b3o9b5o16bobo$21b7o10b4o8bo6bo8b2o8bo4bo24b2o9b6o15bob3o$22bobobo10b6o8bob2obo9b2o10b2o24b2obo10b4o14bob2o$22bobobo10b6o7bobo2bobo18bob2obo32bobo17bo2bo$39b2o9b8o7bo2bo7b2o2b2o28bo2b3o17bo2bo$38bo2bo10b4o21b4o28b2ob5o15b3o$51bo4bo21b2o29b4ob2o13b3ob2o$37bo4bo7bob4obo18b6o26b2o3b2o13bo2b3o$52bo2bo19b8o26bo3bo13bo3bo2bo$51bob2obo19b6o26b3o2b3o11bo$77b4o24b10o16b2obo$49b3ob2ob3o16b2ob2ob2o22b2ob3obo13bo3b4o$49b2o6b2o17b6o22b4obo15bob2obo$50b2ob2ob2o18b6o21b7o13bo2b2o2bo$49bo2bo2bo2bo18b4o21bo3b4o12bob5o$50b3o2b3o17bob4obo19bobob2o14b2ob3o$48b2o2bo2bo2b2o17b4o20bobo2bo12b2o3b2obo$53b2o20bob4obo21b2o14b2o3bo$50bo6bo20b2o17bo5bo15b5o$51bob2obo20bo2bo16bob2o17b6obo$52b4o22b2o16b5o16b2ob3obo$51bo4bo18b3o2b3o15b2o17b2o2b2o$51b2o2b2o21b2o19b3o14b2o2b2o$49b2ob4ob2o16bobo2bobo16bo14b2obo2b2o$50b2ob2ob2o17b3o2b3o31b4o$52bo2bo19bob4obo27bob5o$49bobob2obobo18bo2bo29b6o$51bob2obo52b6o$53b2o23b2o29b5obo$78b2o26b8o$77b4o25bob6o$77b4o26b2o3b2o$106b2ob3o$77b4o26bobo$77bo2bo20bo3bo$75bobo2bobo17bo5bo$76b6o18b2ob2o$99b7o$76b6o18b2o3bo$76bob2obo16bo2b3obo$74bo2b4o2bo15bo$75bob4obo15bobo$74b10o12bob2o$76b6o13b4o$75b8o10b2obo$76b2o2b2o9b2o3bobo$78b2o10b3obo$76b2o2b2o7bo2b2o2bo$76bob2obo5bobo2b2o$75bob4obo3bo2bob3o$76bob2obo3bobo3b2obo$75b3o2b3o2bobobob3o$76b6o4bo4bo$75b3o2b3o5bob2o$75bo2b2o2bo$74bobo4bobo$76bo4bo$76b2o2b2o$75b2ob2ob2o$74bobob2obobo$77b4o$75bob4obo$76b6o$77b4o$76b2o2b2o$75b8o$76b6o$76b6o$76b6o$77b4o$77bo2bo!

None of these have pages, names or threads, so I suppose this shall be a catch-all thread for discoveries made in all five.

[confocaloid]

Bounded universes, 12x12 torus

Code: Select all

#C p115668
x = 12, y = 12, rule = B356/S014678:T12,12
10bo$5bo3bo3$bo$o$10obo$5ob3ob2o$12o$12o$ob10o$b11o!

Code: Select all

#C p3486
x = 12, y = 12, rule = B367/S034678:T12,12
b3obo3bobo$3obo6bo4$8bo$o3bob3obo$3bob6o$12o$12o$12o$8ob3o!

Code: Select all

#C p492
x = 12, y = 12, rule = B3567/S04678:T12,12
5bo2b4o$2bo2bo$bo4$5ob2o$2ob2ob6o$ob10o$12o$12o$12o!

Code: Select all

#C p15854
x = 12, y = 12, rule = B34678/S3678:T12,12
12o$12o$3ob8o$12o$b2ob2o2b3o$12o3$3bo2$o2bo2b2o3bo!

Code: Select all

#C p850528
x = 12, y = 12, rule = B34678/S3678:T12,12
7b2obo2$4bo$4bo$2bobobo$bo2bo5bo$7o2bobo$12o$4ob7o$4ob7o$2obobob5o$ob
2ob5obo!

Code: Select all

#C p523
x = 12, y = 12, rule = B3568/S14678:T12,12
12o$7o2b3o$b6o3b2o$2b3o6bo$3b2o3$7b2o$o6b3o$2o3b6o$3o2b7o$12o!