B578/S01234678

[Extrementhusiast]

This is actually the inverse of a rule that I previously posted, and so the black-white reversals of everything also work here. Here are all of the known oscillators, separated by whether or not it's an "inverse", but otherwise in no particular order:

Code: Select all

x = 224, y = 329, rule = B578/S01234678
73bob2o$77bo$73b4o2$125bo$122b3o2b2o$123b5ob3o$121b10o$121b12o$92b2o
26b13o$91b4o26b13o$91b3o27b12o$90b4obo27bo2b2o2bo$91b4o$91b4o$75b3o14b
2o$58bo17b3o$36bo20bo18b2o$34b2obo18b5o14b3obo$34bo2bo19bo16bob4o$33b
3o22bo16b3obo$76b2o$76b3o43bo$75b3o42b3o$119b4o$90bo28b5o$89b3o27b4o$
89bobo26b5o$89bobo2bo25b4o$88b4ob4o22b4o$37bo49b11o20b5o$35bo2bo49b4ob
4o21b6o$34b6o30bo2b2o14bobo2bo25b2obo$35bo2bo29bobo2b2o14bobo27b3o$37b
o29b9o13b3o$68bobo2b2o15bo$70bo2b2o7$107bo$105b5o$105b5o$2bo101b4o$b3o
101b4o$obo102b3o$b3o100b6o$bo103b6o$2obo60b2o39b4o$3bo20bobo17bobo15bo
3bo37b6o$24b3o16b2o2bo14b3o40b4o14b2o$23bobobo17b3o57b2o18b2o$25bo18b
4o77bo$46bo75bo2b2o$90bo31b4o$90bobo32bo$90b2o32bobo$90bobo$90bo6$15b
3o$14bo2bo$14bobo$14b2o36bo$29bob2o19bobo$51bo2bo$29b5o17bobo25bobo$
31bo20b2o25bobo$52b2o$51bobo25b3o$126bobo$124bobo$17bob2obo101b4o$19bo
11bob2obo88bobo$17bob2obo9bo2bo90bo$31bob2obo2$72b2o$72bo2bo$41b2o30b
3o8b3o$40b2ob2o40bo$41bo18bobo23b3o55bo$bobo8bo11b2o16b4o15b2o79b4o$bo
9bobo10b4o32b5o77bobobo$bobo7bobo9b3o35bo2bo$b3o6bobo10bobo36b3o21bobo
54b3o$2b2o6bo14b2o58b5o14bo$2bo9bo72b5o13bobo$87bo15b2obo13bo$104b2o
12b2o$118b2obo$120bo$118bobo36bo$156bo2bo$55b2o98b5obo$14b2o23bo16b3o
96b7o$13bo2b2o21b3o13bo2bo97b4obo$15bo22bo2bo12b3o102bo2bo$16b3o19bob
3o13b2o34b6o62b2o$41b2o49bobo2bo$94b2o$69b3o$25b3o42b3o$24b3obo41bob2o
$23bo3bo42bobo$23bob2o43bo$10bo12bo2bo31bo$8b3o46b4o90b3o$7bo2bo44b2ob
o90bob3o$7bo2bo45bob2o73bobo12b8o$6b4o31b3o12bobo45bo28b3o13bob3o$42bo
bo11bo46bobo26bobobo14b3o$41b2o60bobo26b5o$41b3o60bobo25b5o$42b3o89bo$
31bo10b3o89bo$28b3o12bo44b2o$31bo$10b3o14b5o55b4o$12b2o71bob4o$11bob2o
69bob3o23b2o$13bo71b5o20b7o$11bobo46b2o6b2o17b2o23b2o2bo$59bob2obo2b3o
40bobobo$56b2o2bo2bo2bo3bo$55b16o91bo$56b2o2bo2bo2bo3bo63bo25bo$59bob
2obo2b3o64b3o23b5o$60b2o6b2o64b3o$133bobobo$25bobo106b3o$26bobo11bo93b
obo$26bobo10b2o93b2obo$25bobo10bob3o$25bobo12b2o102b2o$11bobo12bobo11b
2o62bob2o37b2o3bobo$11bo90b5o37bo3bob4o$13bo64bobo20b2o3b2o35b12o$11bo
bo65bobo20b2o2bo37bo3bob4o$13b3o62bobo64b2o3bobo$11bob2o63bobo63b2o$
79bobo4$31bo2bo15bo$31bo2b2o13bobo12bo$29b8o10bobobo11bo2bo$31bo2b2o
12bobobo9b5o$31bo2bo13bobo12bo2bo54bo3bo2bo$49bo14bo55bo2bo2b2o$90bo3b
o24b12o$89bo2bo2bo24bo2bo2b2o$88b9o24bo3bo2bo$89bo2bo2bo$90bo3bo52$
125b2o2bo2b2o18b2o2b2o2b2o7b2o2b2o2b2o$125b9o18b10o7b10o$126b7o20b8o9b
8o$126b7o20b8o9b8o$125b3o3b3o18b3o4b3o7b3o4b3o$126b7o20b8o8b3o4b3o$
126b7o20b8o9b8o$125b9o18b10o8b8o$125b2o2bo2b2o18b2o2b2o2b2o7b10o$169b
2o2b2o2b2o10$119b2o2bo2b2o7b2o2bo2b2o7b2o2bo2b2o7b2o2bo2b2o6b2o2bo2b2o
$119b9o7b9o7b9o7b9o6b9o$120b7o9b7o9b7o9b7o8b7o$120b2o2b3o9b2obob2o9b3o
2b2o9b3ob3o8b2o2b3o$119b4o2b3o7b4o2b3o7b4o2b3o7b3o3b3o6b3o3b3o$120b3ob
3o9b3ob3o9b3ob3o9b3ob3o8b3o2b2o$120b7o9b7o9b7o9b7o8b7o$119b9o7b9o7b9o
7b9o6b9o$119b2o2bo2b2o7b2o2bo2b2o7b2o2bo2b2o7b2o2bo2b2o6b2o2bo2b2o18$
149bo2bo2bo$147b11o$147b11o$146b13o$147b4obob4o$147b3obobob3o$146b3obo
bobob3o48b2o2b2o$147b3obobob3o47b10o$147b4obob4o47b10o$146b13o45b4ob2o
b4o$147b11o46b5o3b4o$103bo2bo2bo37b11o47b2ob3o2b2o$101b11o37bo2bo2bo
49b2ob3o2b2o$101b11o92b5o3b4o$100b3ob2ob6o91b4ob2ob4o$101b3o3b5o93b10o
$101b3o4b4o93b10o$100b3o7b3o94b2o2b2o$101b4o2b2ob2o$101b5ob5o$100b6o2b
5o$101b11o$101b11o$103bo2bo2bo12$165bo2b2o2bo$163b12o$163b12o$162b14o$
162b6o2b6o$163b4o4b4o$163b2o8b2o$162b4o6b4o$162b4obo2bob4o$71bo91b12o$
69b5o89b12o$67b9o89bo2b2o2bo42b2o2b2o$67b9o137b10o$66b5ob5o136b10o$66b
3obobob3o135b3o2b7o$65b5o3b5o49bo84b4ob7o$66b3obobob3o48b5o83b2o3b5o$
66b5ob5o46b9o81b4o2b4o$67b9o47b9o80b6o3b3o$67b9o46b4o2b5o79b6obob3o$
69b5o48b4o3b4o80b10o$71bo49b4ob8o79b10o$122b5o3b3o46bo35b2o2b2o$122b5o
b5o44b5o$123b9o43b9o$123b9o43b9o$125b5o44b3obob5o$127bo46b4obob4o$173b
4obobob4o$174b4obob4o$174b5obob3o$175b9o$175b9o$177b5o$179bo!

I am currently working on sifting out the new oscillators from this large area of ash:

(The soup was too large to fit in even 10 consecutive posts, so I give the file itself)

[Ntsimp]

Here are your oscillators sorted by period, plus the ones I've found so far:

Code: Select all

x = 289, y = 159, rule = B578/S01234678
170bo$96bo2bo2bo32bo13b2o2b2o13b5o$41b2o2b2o2b2o3b2o2b2o2b2o3b2o2bo2b
2o4b2o2bo2b2o5b11o8b2o2b2o14b5o9b10o9b9o39bob3o18bobo$28b2o2bo2b2o4b
10o3b10o3b9o4b9o5b11o6b10o10b9o7b10o9b9o39bobobo18bobo$28b9o5b8o5b8o5b
7o6b7o5b3ob2ob6o5b10o10b9o6b3o2b7o7b3obob5o38bobobo18bobo$3b3o23b7o6b
8o5b8o5b3ob3o6b2o2b3o6b3o3b5o5b4ob2ob4o8b5ob5o5b4ob7o7b4obob4o38bob3o
18bobo$5bo5bobo7bo7b7o5b3o4b3o3b3o4b3o3b3o3b3o4b3o3b3o5b3o4b4o5b5o3b4o
8b3obobob3o6b2o3b5o7b4obobob4o86bo2bo$3b3o4b5o5bobo5b3o3b3o5b8o4b3o4b
3o4b3ob3o6b3o2b2o5b3o7b3o5b2ob3o2b2o8b5o3b5o5b4o2b4o8b4obob4o74bo13b3o
$3bo6b5o5b2obo5b7o6b8o5b8o5b7o6b7o6b4o2b2ob2o6b2ob3o2b2o9b3obobob3o5b
6o3b3o7b5obob3o73b3o11bob2o$3b3o6bo8b2o6b7o5b10o4b8o4b9o4b9o5b5ob5o5b
5o3b4o8b5ob5o5b6obob3o8b9o74bobo13b3o$28b9o4b2o2b2o2b2o3b10o3b2o2bo2b
2o4b2o2bo2b2o4b6o2b5o4b4ob2ob4o9b9o7b10o9b9o45bo28bobo2bo7bobo$28b2o2b
o2b2o17b2o2b2o2b2o30b11o6b10o10b9o7b10o11b5o46b3o26b4ob4o$94b11o6b10o
12b5o11b2o2b2o15bo47bobo26b11o$96bo2bo2bo10b2o2b2o16bo83b3o26b4ob4o$
219bo29bobo2bo$218b2obo27bobo$221bo27b3o$250bo$3b3o34bobo7bo4bo9bo3bo
8bo8bo2b2o2bo$5bo34bo7b3o3bobo7bo2bo2bo6bo2bo4b12o$3b3o4bob2o5bob2obo
6b2o7bobo4bo2bo3bobo6b9o4b5o4b12o$5bo14bo2bo7bo2bo5b3o4bo2bo4bobo6bo2b
o2bo6bo2bo3b14o$3b3o4b5o4bob2obo7b3o6b2o3b4o15bo3bo8bo5b6o2b6o$12bo28b
o43b4o4b4o$85b2o8b2o$84b4o6b4o$84b4obo2bob4o$85b12o$85b12o$87bo2b2o2bo
3$214bob3o25bob3o$214bo3bo25bo3bo$214bob3o25bob3o$214bobo27bo3bo$214bo
b3o25bob3o22bobo$3bobo186bo29bo4bo46b2o$3bobo164bo2bo2bo13b5o27bob3o
34bo10b2obo$3b3o162b11o9b9o26b2o2bo22bobo7bo2bo9b3o$5bo119b2o2bo2b2o5b
2o2bo2b2o5b2o2bo2b2o6b11o9b9o25bo28b2o6b5obo7bobo$5bo30b3o86b9o5b9o5b
9o5b13o7b4o2b5o24bobo25b5o4b7o6bo2bo$37b3o9b2o6bobo8b3o24b3o9b3o7bo8b
7o7b7o7b7o7b4obob4o8b4o3b4o25bob3o23bo2bo5b4obo$18bo8bo9b2o9b4o3bobo
11bo26b3o6bob3o5bo10b2o2b3o7b2obob2o7b3o2b2o7b3obobob3o7b4ob8o53b3o8bo
2bo$16b2obo6bo9b3obo7b3o4b4o5bo5b3o11b3o3bobo3bob2o4b8o3b5o5b4o2b3o5b
4o2b3o5b4o2b3o5b3obobobob3o7b5o3b3o66b2o$6bob2o6bo2bo5b5o5bob4o6b4obo
3bobo3bo2bo10b2o5bo2bo3bobo3bobo6bob3o16b3ob3o7b3ob3o7b3ob3o7b3obobob
3o8b5ob5o$10bo4b3o8bo9b3obo7b4o5bo3b6o7bo3bo4bobo10bo10b3o16b7o7b7o7b
7o7b4obob4o9b9o$6b4o17bo9b2o9b4o10bo2bo8b3o6b2o5b3o32b9o5b9o5b9o5b13o
8b9o$37b3o9b2o13bo60b2o2bo2b2o5b2o2bo2b2o5b2o2bo2b2o6b11o11b5o$36b3o
129b11o13bo$170bo2bo2bo7$272bob3o$3b3o208bobobo32bob3o16bobo$3bo210bob
obo16bo2bo12bobo18bob3o$3b3o208bob3o16bo2b2o11bob3o16bobobo9bo$5bo91bo
bo114bo3bo14b8o10bo3bo5b2o9bob3o8bobo$3b3o13bo50bo16b3o8bobo5b2o106bo
3bo9bo6bo2b2o11bob3o3b7o17bobobo$19bobo6bo7b2o8b2o10b3o8b4o7bo8b2o7bob
o5bo3bo115b4o5bo2bo22b2o2bo18bobobo$18bo2bo5bobo5b2ob2o5bo2b2o7b3obo5b
2obo6b3o8bob2o5bobo8bobo115bobobo28bobobo20bobo$8bobo7bobo6bobo6bo10bo
8bo3bo7bob2o8bo9bo6bobo6b2obo175bo$8b3o8b2o5bobo8b4o7b3o5bob2o8bobo5b
5o7bobo7bobo4b4obo116b3o3b2o6b2o$7bobobo7b2o5bo29bo2bo8bo37b2o2bo122b
3obo2b3o$9bo8bobo7bo203bo2bobobo3bo$232b12o$232bo2bobobo3bo$233b3obo2b
3o$233b2o6b2o6$214bob3o6b3o20bo$32bo12bo168bo3bo7bobo9bob2o4bo2bo$3b3o
24b3o10b5o166bo2bo7b2o9b5o5b4o$3bo25b4o10b5o21b2o54b3o86bo2bo7b3o7b2o
3b2o4b3o$3b3o23b5o8b4o25b2o6bob2obo7bo34bo86bobo9b3o7b2o2bo6b2o$3bobo
23b4o10b4o24bo9bo10b3o31bo99b3o17bob2o$3b3o22b5o10b3o10bo11bo2b2o6bob
2obo6bo2bo31bo100bo$14bo2b2o11b4o8b6o8bobo9b4o19bob3o29bo$12bobo2b2o
10b4o10b6o7b2o13bo22b2o$11b9o8b5o10b4o9bobo11bobo61bobo8bo6b2o2bo$12bo
bo2b2o9b6o8b6o8bo77b3o7b2o6bo4bo$14bo2b2o11b2obo9b4o86bobobo5bob3o4bo
2b3o$29b3o11b2o88b5o7b2o6b2obo$133b5o7b2o5bob3o$135bo20bo57bob3o15bob
3o10bo$135bo78bobobo15bobobo7bob2o$214bob3o9b2o4bob3o5bob2ob2o$214bobo
bo15bo3bo6b3o$214bob3o8b4o3bob3o4b7o$225bob4o13b4o2bo$224bob3o14bo2bo$
3b3o219b5o12b3obo$3bobo221b2o15bo2bo$3b3o79bo$3bobo79b3o8b2o$3b3o8bo
41bo28b3o9b2o3bobo6bobo12b3o$11b3o2b2o15bobo18b2o8b2o18bobobo7bo3bob4o
6bobo11bobo$12b5ob3o11b2o2bo9b2o6b2obo7b3o5b6o6b3o7b12o4bobo12b3o$10b
10o14b3o9b4o6bo7bo2bo5bobo2bo6bobo8bo3bob4o5bobo14bo$10b12o11b4o8b3o6b
obo6b3o9b2o8b2obo8b2o3bobo7bobo11b3o$9b13o13bo9bobo17b2o29b2o37bobo5bo
2bo$10b13o24b2o86bo7bo4bo$10b12o115bo8b2o$12bo2b2o2bo115bobo5bob4o$
137b3o4bobobo$135bob2o6b3o14$b3obo18b3ob3o20b3ob3o13b3ob3o15b3ob3o12b
3ob3o4b2obo46b3obo15b3ob3o5bo7b3ob3o5bo4b3ob3o14b3ob3o14b3ob3o3b2obobo
$3bobo20bo3bo22bobo17bo3bo17bobobo14bobobo5b2o49bobo7bo9bo3bo5b3o7bobo
5b2o7bobo7b2o2bo6bo3bo5bo10bobobo5b3o$b3obo3bobo12b3ob3o5bobobobo8b3ob
3o3b4obo4b3o2bo3bob2o2b2o5b3ob3o4bo7b3ob3o5bobo46b3obo5bobo2bo4b3ob3o
5b2o6b3ob3o3bobo4b3ob3o2bob3obo5b3o2bo5b2o8b3ob3o4bob2o$bo3bo5b2obo9bo
5bo6b5o9bo5bo13bo4bo4b3ob2o6bo3bobo4bo7bo5bo6b2o48bobo7b2o8bobo6b3obo
6bo3bo6bo5bobobo3bob3obo6bo2bo5b2o2bo7bo3bo3b4o$b3obo3bo14b3ob3o5b6o9b
3ob3o5b4o4b3obo4b9o4b3ob3o4b4o4b3ob3o4bo2b2o45b3obo5b6o4b3ob3o4bob2obo
3b3ob3o4b2obo2b3ob3o2bobobobo5b3obo7b3obo4b3ob3o4b2o$9b4obo22b6o18bo2b
obo13b6o18b2o17b6o56b2o17bo2b3o14b3o11b3ob3o18b5o14bo$10bob2o22b4ob2o
18bob2o17b4o18b2o17bo2b2o56b2o2bo35b2obo10b9o16b3obo$10bobobo22b6o18bo
19b5o18bobo18b2o99bo13bob4o16b2o2bo$36bo2b3o38b3o21b3o17bobo96bobo13bo
bob3o16b2o$80bobo41b2o97b2o13bobo2bo19bo$82bo40b2obo98bo9$124bobo83bob
3ob3o$106bobo14b2ob2o14b2o66bo3bobo$bobob3o16bobob3o7b2o11bobob3o5b2o
6bobob3o6b2o7b3ob3o6bo6b3ob3o4b3o5b3ob3o2bo3bo4b3ob3o4b3o2bo43bob3ob3o
$bobo3bo16bobobo8bob2o10bobo3bo4bob2o5bobobobo5b3obo5bo5bo6b3o4bo5bo5b
o6bo3bobo2bo2bo5bo3bobo3b2obo46bo3bobobo$b3ob3o2b2o12b3ob3o5bobo12b3o
2bo4bob4o4b3ob3o4b6o5b3ob3o5bobo5b3ob3o3b2ob2o4b3obobo2bo2bo5b3ob3o3bo
b5o43bob3ob3o$3bo3bo3bo14bo3bo5b2o2bo12bo2bo4b4obo6bo3bo5b5o7bobo6bob
2obo5bo3bo5bo6bobobobo2b5o4bobo3bo3b6o2bo$3bob3o2bobo2bo10bob3o8bo13bo
bo5bob3o7bob3o4b2o2bo6b3ob3o4b6o3b3ob3o5bo6b3ob3o3b2o6b3ob3o5b4obo$11b
5o47b2o18bo20bob2obo13b2ob2o34b7o54bo3bo2bo$11b3obo89bobo17bo34bobo2b
2o55bo2bo2b2o$11b5o90b3o15b3o37b2obo53b12o$10bobo2bo90bo16b2ob2o35bobo
56bo2bo2b2o$11bo94bobo15bobo96bo3bo2bo$10b2o!

[Ntsimp]

Here's a p20, 2 p22s, and a p40:

Code: Select all

x = 14, y = 19, rule = B578/S01234678
3o2bo$2bobo$b5o$3b2o$3b2obo3$bo7b3o$ob3o2bo3b3o$2bo5b3o$bobo6bobo$2bo
9bo3$3o2bo$3bobo$bob3o$3b2o$3b2o!