While LLSSS could conceivably provide negative answers here, the first three I looked at all have positive answers, even just among p3 oscillators.confocaloid wrote: ↑March 15th, 2024, 9:49 amAre there finite oscillators querying B7c, B8, S5e, S6c, S6e, S6k, S6n?
S5e I had started with odd symmetry across the initial rows, like:
Code: Select all
| AABBBuuuCCCDD | AABBBuuuCCCDD | AABBBuuuCCCDD |
| ..YYYYYYYYY.. | ..YYY*.*YYY.. | ..YYYYYYYYY.. |
| ..WWWWWWWWW.. | ..WWW**.WWW.. | ..WWWWWWWWW.. |
| ..YYYYYYYYY.. | ..YYY*.*YYY.. | ..YYYYYYYYY.. |
Code: Select all
| uuuuuRRR | uuuuuRRR | uuuuuRRR |
| ...*.... | .**.*... | *....... |
| **...... | ...**... | ........ |
| ...*.... | .**.*... | *....... |
Code: Select all
x = 37, y = 113, rule = B2/S
5bo25bo$3b2o4bo17bo4b2o$10b2o13b2o$bob2o27b2obo$bob3o4b3o11b3o4b3obo$o
3bobo5bo11bo5bobo3bo$5bo2bobo2bo9bo2bobo2bo$8bo19bo$6b2o21b2o$bo9bo2bo
7bo2bo9bo$2bobobo6bo9bo6bobobo$2bobo5b4o9b4o5bobo$4b2o6bo11bo6b2o$6bo
5bo11bo5bo$10b4o9b4o$13bo9bo$11bo2bo7bo2bo3$12bo2bo5bo2bo$14bo7bo$11b
4o7b4o$11bo13bo$10bo2bo9bo2bo2$8bob4obo5bob4obo$8bo6bo5bo6bo$7bo2bo2bo
2bo3bo2bo2bo2bo3$8bo2bo13bo2bo$10bo3bo2bobo2bo3bo$10bo4bo5bo4bo$9bo5bo
5bo5bo$9bo6bo3bo6bo$8bo2bo4b2ob2o4bo2bo$16bo3bo$16bo3bo$13bob2o3b2obo$
9bo2b2o9b2o2bo$8b2o2b2o9b2o2b2o$8bo2b2o11b2o2bo$7bo2bo6bobo6bo2bo$17bo
bo2$8bo2bo5bobo5bo2bo$9bo2b2o3bobo3b2o2bo$9b2o2b2o3bo3b2o2b2o$10bo2b2o
2b3o2b2o2bo$14b3o3b3o$17bobo$9bo3bo2bo3bo2bo3bo$10bob3ob2ob2ob3obo$10b
o2bo9bo2bo$13bo9bo$14bob2ob2obo$14b2o5b2o$14bob2ob2obo$13bo9bo$10bo2bo
9bo2bo$10bob3ob2ob2ob3obo$9bo3bo2bo3bo2bo3bo$17bobo$14b3o3b3o$10bo2b2o
2b3o2b2o2bo$9b2o2b2o3bo3b2o2b2o$9bo2b2o3bobo3b2o2bo$8bo2bo5bobo5bo2bo
2$17bobo$7bo2bo6bobo6bo2bo$8bo2b2o11b2o2bo$8b2o2b2o9b2o2b2o$9bo2b2o9b
2o2bo$13bob2o3b2obo$16bo3bo$16bo3bo$8bo2bo4b2ob2o4bo2bo$9bo6bo3bo6bo$
9bo5bo5bo5bo$10bo4bo5bo4bo$10bo3bo2bobo2bo3bo$8bo2bo13bo2bo3$7bo2bo2bo
2bo3bo2bo2bo2bo$8bo6bo5bo6bo$8bob4obo5bob4obo2$10bo2bo9bo2bo$11bo13bo$
11b4o7b4o$14bo7bo$12bo2bo5bo2bo3$11bo2bo7bo2bo$13bo9bo$10b4o9b4o$6bo5b
o11bo5bo$4b2o6bo11bo6b2o$2bobo5b4o9b4o5bobo$2bobobo6bo9bo6bobobo$bo9bo
2bo7bo2bo9bo$6b2o21b2o$8bo19bo$5bo2bobo2bo9bo2bobo2bo$o3bobo5bo11bo5bo
bo3bo$bob3o4b3o11b3o4b3obo$bob2o27b2obo$10b2o13b2o$3b2o4bo17bo4b2o$5bo
25bo!
Code: Select all
| uuCCCDD | uuCCCDD | uuCCCDD |
| ..YYY.. | **YYY.. | ..YYY.. |
| ..WWW.. | .*WWW.. | ..WWW.. |
| ..YYY.. | **YYY.. | ..YYY.. |
Code: Select all
x = 71, y = 129, rule = B2/S
4bo61bo$6bo3bo49bo3bo$4bobobo53bobobo$5b2obobo49bobob2o$obo4b2o53b2o4b
obo$3bo7bobo43bobo7bo$b3o3bo55bo3b3o$4bob2o3b2o45b2o3b2obo$2b3o7b2o9bo
23bo9b2o7b3o$21b2o4bo15bo4b2o$bobo8bobo13b2o11b2o13bobo8bobo$5bobo11bo
b2o25b2obo11bobo$7bobobo7bob3o4b3o9b3o4b3obo7bobobo$5bo3bobo6bo3bobo5b
o9bo5bobo3bo6bobo3bo$23bo2bobo2bo7bo2bobo2bo$12bobo11bo17bo11bobo$24b
2o19b2o$12b2o5bo9bo2bo5bo2bo9bo5b2o$13b2o5bobobo6bo7bo6bobobo5b2o$20bo
bo5b4o7b4o5bobo$13bobo6b2o6bo9bo6b2o6bobo$24bo5bo9bo5bo$10bobo15b4o7b
4o15bobo$31bo7bo$11b2o16bo2bo5bo2bo16b2o2$12b2o43b2o$30bo2bo3bo2bo$11b
obo5bo11bo7bo11bo5bobo$17bo13bo7bo13bo$15b2o2bo12bo5bo12bo2b2o$17bo4bo
bo7bo5bo7bobo4bo$14bobo4bo8bo2bo3bo2bo8bo4bobo$19bo2b2o23b2o2bo$21bo
27bo$19bo5bobo3bo2bobo2bo3bobo5bo$32bo5bo$25b2o5bo5bo5b2o$33bo3bo$26b
2o5b2ob2o5b2o$33bo3bo$26bobo3bo5bo3bobo$32bo5bo$31bo2bobo2bo$25bobo15b
obo2$26b2o2bo2bo3bo2bo2b2o$32bo5bo$27b6o5b6o$26bo2bo11bo2bo$32b7o$29bo
5bo5bo$29b3o7b3o$25bo2bo3bo2bo2bo3bo2bo$26bo3b11o3bo$26bob2o11b2obo$
28bo3bo5bo3bo$31bo7bo$31bo7bo$27bo2bo2b5o2bo2bo$28bo3bo2bo2bo3bo$28bob
2o7b2obo$30bo4bo4bo$30bo3b3o3bo$30b2ob2ob2ob2o$30bo3b3o3bo$30bo4bo4bo$
28bob2o7b2obo$28bo3bo2bo2bo3bo$27bo2bo2b5o2bo2bo$31bo7bo$31bo7bo$28bo
3bo5bo3bo$26bob2o11b2obo$26bo3b11o3bo$25bo2bo3bo2bo2bo3bo2bo$29b3o7b3o
$29bo5bo5bo$32b7o$26bo2bo11bo2bo$27b6o5b6o$32bo5bo$26b2o2bo2bo3bo2bo2b
2o2$25bobo15bobo$31bo2bobo2bo$32bo5bo$26bobo3bo5bo3bobo$33bo3bo$26b2o
5b2ob2o5b2o$33bo3bo$25b2o5bo5bo5b2o$32bo5bo$19bo5bobo3bo2bobo2bo3bobo
5bo$21bo27bo$19bo2b2o23b2o2bo$14bobo4bo8bo2bo3bo2bo8bo4bobo$17bo4bobo
7bo5bo7bobo4bo$15b2o2bo12bo5bo12bo2b2o$17bo13bo7bo13bo$11bobo5bo11bo7b
o11bo5bobo$30bo2bo3bo2bo$12b2o43b2o2$11b2o16bo2bo5bo2bo16b2o$31bo7bo$
10bobo15b4o7b4o15bobo$24bo5bo9bo5bo$13bobo6b2o6bo9bo6b2o6bobo$20bobo5b
4o7b4o5bobo$13b2o5bobobo6bo7bo6bobobo5b2o$12b2o5bo9bo2bo5bo2bo9bo5b2o$
24b2o19b2o$12bobo11bo17bo11bobo$23bo2bobo2bo7bo2bobo2bo$5bo3bobo6bo3bo
bo5bo9bo5bobo3bo6bobo3bo$7bobobo7bob3o4b3o9b3o4b3obo7bobobo$5bobo11bob
2o25b2obo11bobo$bobo8bobo13b2o11b2o13bobo8bobo$21b2o4bo15bo4b2o$2b3o7b
2o9bo23bo9b2o7b3o$4bob2o3b2o45b2o3b2obo$b3o3bo55bo3b3o$3bo7bobo43bobo
7bo$obo4b2o53b2o4bobo$5b2obobo49bobob2o$4bobobo53bobobo$6bo3bo49bo3bo$
4bo61bo!
With an input of all zeros this is unsolvable at any width:
Code: Select all
| LLLLLuuuRRRRR | LLLLLuuuRRRRR | LLLLLuuuRRRRR |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW.**WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW*.*WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWW***WWWWW | WWWWWWWWWWWWW |
| WWWWWWWWWWWWW | WWWWWWWWWWWWW | WWWWWWWWWWWWW |
Code: Select all
x = 64, y = 112, rule = B2/S
30bo4bo10bo$23bo4bo8bo5bo3b2o$25bo2bo8bo3bo$25bo3bobo3b2o4bo5bo$20bo5b
o2bo3b2obo2bo$29bo4b3o3b2o4bobo$21b2o5bo4bobo4bo10bo$23bo3b2o5bo12bo$
25bo4b2o6bobo3bo2bob2o$17bobo3bobo6bo4b3o5b2o$20bobobo5b2o4bo17bo$18b
2o4bo16bobo$20bobo4b2o3bo4bo3bo10b2o$19bobo3bo11bo4bo$28bo2b2obo2bo9bo
$18bobo2bo6bo2bo7bo$28bo10bo5b2o4b2o$22bobo4b2o3bo4bo2b2o3bo$15bobo2bo
3b2o9bo4b2o4bo6bo$18bo3bo3bo8bobo11bo$16b2o4bobo7bob2ob5o3bo3bo$17bo3b
o2bo2bo9bo2bo10bo$19bo7b3o2b2o4bo5bo$16bobo6bo5bo3bo2bo3b3o$22bo8bo4bo
3bo$19b2o3b2o6bo3bo9bo$18bo6b5o5bobo$21bo2bo2bo8bo$14bo2bo5bo6bo9bobo
2bo$15bo2bo8bo5b3obo6bo$15bo2bobo5b3obo7b2o2b3o$16bobobo2bob2o2bobo9bo
bo$11bobo6bo10bo3b2o7b2o$16bobob2o4b2obo4bo2bo3bobo$12b2o2b2obobo6bo4b
o3bo6bobo$11b2o12b2o6bo2bo$16b2obo2bo6bo4b2o3b2obo$10bobo5b5o2bo3b3o7b
o$13b2o4bo2b3o2b2o8b4o4b2o$16bo2bo2b3o5b2o6bo3bo$13bo3bo4bo4b2o2bo4bo
10bo$17bo5bo17bo$10bobo2bobo2bo3bo7b2o4bo3b2o$22bobo$11b2o2bobo16bo3bo
5bo$15b3o10b2o8bo$12b4o4bobo4bobo8bo$14bo7bo4b2o$11bobo3bobo12bob3obo
4bo$18bo3bobo$17b2o2bobo8bo8b2o$22b2o2bo5bo4bo$6bo3bo16bo4bo7bo$6bobo
3b3obo9b2o11b2o3bo$5bo4bo21bo17bo$35b2o$17bob3obo6bo8bo3b2o3b2o$6bo4bo
14bo3bo12bo3bo$7bobo3b3o9bo4b2o7b2o5b2o$7bo3bo12b2o7bobo7bob2o2b2o$28b
o4bobo2bo5bo$16bo6b2o26bo$11bo3bo17bobo11bo$16b2o4bobo8b3o6bo3bo$12b2o
bo14bobo3bobo8b2o$16bobo6bobo15b2obo$31b2o3b2o9bobo$25b2o10b2o$13b2o9b
2o4b2o$37bobo4b2o$10bo4bo7bobo4bobo$43bo4bo$11b2o14b2o7bobo$46b2o$26bo
bo8b2o$12b2o$36b2o$14bo12bobo17b2o$4bo5bo25bobo$6bo3bo16b2o17bo4bo$bo
4bo7bo$26b2o7bobo11b2o$2b2o8b2o$8bo16bobo8b2o$5bo44b2o$4bobo4b2o24b2o$
b2o4bo18bobo20bo$6bo6bo23bobo13bo5bo$o8bo16b2o25bo3bo$5bo3bo39bo7bo4bo
$5bo5bo15b2o7bobo$3bo46b2o8b2o$27bobo7b2o16bo$58bo$20bo3bobo9b2o13b2o
4bobo$22bobobo29bo4b2o$20bobo12bobo12bo6bo$16bobo8bobo24bo8bo$38bobo3b
o9bo3bo$17b3o7b2o9bobobo9bo5bo$19bob2o3b2o14bobo15bo$16b3o3bo12bobo8bo
bo$18bo7bobo$15bobo4b2o12b2o7b3o$20b2obobo11b2o3b2obo$19bobobo18bo3b3o
$21bo3bo10bobo7bo$19bo21b2o4bobo$39bobob2o$41bobobo$39bo3bo$45bo!
EDIT:
Some of the above query S6c although I didn't notice until solving it separately:
Code: Select all
x = 42, y = 79, rule = B2/S
29bo$21bo5bo$23bo3bo$23bo8bo$19bo6bo$25bo4b2o$20b2o4bobo$27bo$24bo$19b
2o8b2o2$18bo7bo4bo$22bo3bo$22bo5bo$4bo13bo18bo$6bo3bo20bo3bo$4bobobo
10b2o12bobobo$5b2obobo20bobob2o$obo4b2o24b2o4bobo$3bo7bobo6b2o6bobo7bo
$b3o3bo26bo3b3o$4bob2o3b2o9bo6b2o3b2obo$2b3o7b2o4bo9b2o7b3o2$bobo8bobo
4b2o6bobo8bobo$5bobo26bobo$7bobobo18bobobo$5bo3bobo8b2o8bobo3bo2$12bob
o7bo4bobo$18bo$12b2o14b2o$19b2o$13b2o12b2o2$12bobo12bobo$17bo2b2o2bo$
16bo3b2o3bo$16bo3b2o3bo$16b2ob4ob2o$16bo3b2o3bo$16bo3b2o3bo$17bo2b2o2b
o$12bobo12bobo2$13b2o12b2o$19b2o$12b2o14b2o$18bo$12bobo7bo4bobo2$5bo3b
obo8b2o8bobo3bo$7bobobo18bobobo$5bobo26bobo$bobo8bobo4b2o6bobo8bobo2$
2b3o7b2o4bo9b2o7b3o$4bob2o3b2o9bo6b2o3b2obo$b3o3bo26bo3b3o$3bo7bobo6b
2o6bobo7bo$obo4b2o24b2o4bobo$5b2obobo20bobob2o$4bobobo10b2o12bobobo$6b
o3bo20bo3bo$4bo13bo18bo$22bo5bo$22bo3bo$18bo7bo4bo2$19b2o8b2o$24bo$27b
o$20b2o4bobo$25bo4b2o$19bo6bo$23bo8bo$23bo3bo$21bo5bo$29bo!
Code: Select all
x = 46, y = 104, rule = B2/S
29bo$19bo4bo2bo$14bo2bo8b2obo$16b2obo4bo3bo5bo$14bobo8bo6bo$15bobo2bob
o6bo2bo$21b2o3bo4bo5bo$11bobo2b2o2b3o2bo$16b2o2bobo2bo9b2o$12b2o12bobo
bo3bo$16b2o2bobo4bo$11b6o3b3o5bo3bo3b2o$10bo2bo8b4o$19bo9bo3bo4bo$13bo
4bo2bob3o3bo3bo$9bo3b4ob2o5bo2bo6bo$13bob2o2bo8b2o$10b2ob2o2b2o7bo$13b
o4b2obo2bobo2bobo$16bo12bobo$12b3o4bo7bo4bo$8bob2o27bo$19b2o3b2o11bo$
9bo3bo4bo9bobo4b2o2bo$23bo6bo4bo2bo$28bo8bo$11bo2bo16b4o5bobo$13bo11bo
8b3o$10b4o13b3o4bobo3b2o$6bo5bo11b2o3bo$4b2o6bo8bo12bobo2b2o$2bobo5b4o
9b2o5b2obob2o$2bobobo6bo7bob2o2bo6bo4bobo$bo9bo2bo7b2o2bo3b2ob2o$6b2o
18bo9b2o$8bo14bo2bo$5bo2bobo2bo6b2o4bobob2obo2b2o$o3bobo5bo12bo2bob2ob
o5bobo$bob3o4b3o6bo$bob2o18bo11bob4o$10b2o11bo$3b2o4bo11bo8b3o4bo2b2o$
5bo21b4o5bo$27bo2bo3b3o3bobo$33bo2bo$27bobo7b2o$27b3o2bo$29b4o4bobo$
25bo5bobo$23bob2o4bobo$23bo5b4o2bo2bo$22bo2bo6bo2bo$30bo$20bob5o6b3o$
20bo4bo5bo3bo$19bo2bo7bo$26b2ob2o5bo2bo$28b3o7bo$18bo2bo6b2o6b3o$19bo
2b2o4bo4b3o$19b2o2bo5bo8b2o$20bo5bo7b2o$23b3o2bobo4bo2bobo$32bo$24b3ob
3o5bo$21bo3b5o$22bo3bo7b2obo$22bo9bo$23bo2bo$18bobo11bo$34bob2o$19b2o
7b2o3bo$28bobo3bo3bo$18b2o8bo3b2o$28b2o2bo$17bobo10bob2obo$24bobo$20bo
bobo7b2o$20bobo3bo$32bobo$17bobo2$18b2o10bobo2$17b2o12b2o2$17bobo12b2o
2$10bo3bobo14bobo$12bobobo$10bobo21bobo3bo$6bobo8bobo14bobobo$38bobo$
7b3o7b2o12bobo8bobo$9bob2o3b2o$6b3o3bo19b2o7b3o$8bo7bobo14b2o3b2obo$5b
obo4b2o24bo3b3o$10b2obobo16bobo7bo$9bobobo23b2o4bobo$11bo3bo19bobob2o$
9bo27bobobo$35bo3bo$41bo!