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Re: Reflectorless Rotating Oscillators (RRO)

Posted: March 26th, 2019, 6:53 am
by 77topaz
AlephAlpha wrote:

Code: Select all

x = 14, y = 14, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
b2o8b2o$4o8b2o$o9bob2o$2b2o6bobo7$bobo6b2o$2obo9bo$2o8b4o$b2o8b2o!
This rule shows an interesting phenomenon of a sort of temporary breeders that form from the burning of wickstretchers' fuses:

Code: Select all

x = 233, y = 209, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
ob3obo3b5o2b2o2bo2b2obob2ob2o3bob2o2b2obo2bo2bo2bobob3o4b2o3b2obob3o4b
2o8bobo3b2o2b2o3b2ob2ob3obo2bo2bob7ob2ob5ob2o13b2o4bo7bobo3b2obo2bo3b
3ob2ob4o3b2o2bob3o2bobo4b3o2bo2b3o$2obo2b2ob5obobobob3ob2o3b2o2b2ob6ob
o2bobob3ob2obo6b2o2b2o2bo4b3ob8o3b3obo6bo2bo2b2o2b2ob2o3b5ob2obob3ob4o
b2o2bo3b3obob2o2b2o3bob2o2bobo5bo2bobobo4b2o6bob4obo5bob3ob3o3bob2o2b
2o$ob2o4b3o2bo6bob3obobo3bob3obob6o2bo7b2ob2o4b3obob2o5bob4o2bo2b5o2b
2ob3obo2bobo2b2o2b3ob2o2bo2b3o2b2ob4ob2o5bobob3o2b3obo2bob3obo3bo2b3o
2bobob3obob2o2b2o2bob4o2bo2b2ob2ob4o2b2ob6ob2o$2b9o2b2obobo2b4obobobob
5obob3ob2o3b2ob2o2bo2b2o2bobo2b3ob2ob3obobobo2bo3b2o3b3o2b2obobob3o3bo
6b4obob4obo4b2obob2o2b4o3bo2b2o5bo2bob3obobo2bo3b2o2bo5b5o4bobo2b6o2b
2o4bobo2bobo3b3o$o2bo4b2obo3bob2o4b2o2b6ob2ob4o2b2obo2b6obo2b3obo2b4ob
4ob2obob5ob4obo2b2ob5o3bobo5bo7bobo2bobobo3bo3bob3obobobo2bo6b2o6bob2o
2bo2bo2bo3b3o2bo2bob3o2bo3bo3b2obob10o2bo2bo3b3o$2obobob2o5bob3o3bo2b
3obob2ob2o2b2obob2o2bobo8bobob3o5b3obobo3b5obo3b2obob2o2b2o2bo2b3ob4o
6b2o2bobobob3o4bob3ob9o3bob2o3bo5b3obob3o2b2o2b3o3b2o2b7o3b3ob2o3bobo
2b2o2bo3b4o3bo$2b2ob3obo3bo3b2ob5obo2b2o4b4o4b4ob8o4b2o2bo5b2obobob3ob
o3b2ob3obob2obob2o4b2o2b2ob2obob4o3b4o4bo2bobo2b4o2b2obobo2bo3bo3bo2b
2o3b2obo2b4o4bo6bobob2obob3o8b2o4bob3obo2bo2b2obo$2obobo2b2obob3o3bo3b
ob2o4b2o2bo5bobo5b4o2b2o2b2ob2ob3obo6bo2b3ob2o3b2o2bobo2b2obo6b2o3b2o
3b2obo2b5ob2obob3o3bob2o3b2obo2bo2bobobobob3o3bob4obob4ob4o2bo2b3o3bob
o4bobob2o4b10o2b2obo$3ob2o2bob3ob3obobo3bobo2bo2bob5o5bo2bobobob4o2b5o
b3obobobo3b2o3b2ob2obob2ob11obo3b3obobob3o3b2o6bobo2b4ob3o2b2o3bo2bobo
3bobo2b10o2b6obo4b2o4bob5o3bob3o2bobo4bo2b2o4bob3o$4b4o2bo2bob2o2bo2b
3o2b3ob2ob4o4b2o2bob4ob5o3bo4b6obo2b3obobo2b2obo3bobob4o3bobobo3b2obob
o2bo5bobob2o7bobo2bob4o2bob5o2bobo4b4o2b2obo4bo2bobobobo2b2ob4o2b4o2b
7o3b3obo2b2ob2ob2o$2o2bobo3bob2o2bo2b2o4b4ob4o2bo2bobo3b2o2b2ob4ob3obo
bob3obo2bo2b8o2bobo5bo2b2obo4bo3bo3bo2bo2bo6b3o2bob2obo2b2o2bo6bo3b2ob
2ob2obo2b5o4bobobobo2bo5bo4bo5b4obobobo2bo3b2ob3o3b2ob2obo$obo3bob2o2b
o5b2o3b5o2bob3o4bo4b2ob2o2bob2obobobo4b3obo5b2o2b4o6bobo2b3o2bo2bob2ob
2ob4ob3o4bobo2b3ob2o2bobo3b2obo3b2obob2obob2o3b2o3bob3ob6obobob6ob3obo
b3o2bobob2obo2b2o2b4o4b3o2bo$obo2b4o3b5o2b13o2bobo2bob3o2b2obo2bob2o8b
o2bo2b4obobo3bo4b3obo2bo2bo5b3ob2obobo5b3o3b3obob3o3bobob2o2bob2obo2b
2obo3b2o3b2o2b2obo2b3obo4bo3bo4bob3obo2bo2bo2b4ob2o2bob5o2b3o4bo$3bob
2ob2ob2o2bobo2b4o2b2o3bo3b4o2bo2b2obo4b5ob3obo2b3o2b2ob3o3b4o4bob2ob2o
bo2b3obobob3obo2b2obobobo7b3o2b3o5b2o2bo4b3o8bobob6o2b2o3b2ob5o2b2obo
3b3ob3o10b3o6bobo3b2ob3o$2obo2bo4bo5b2obo2b4obob3o2bo2bobob2o2bobo2bo
2b3obob3o2b4o4b3o2bob2o4bo5b3ob2obo2b2o2bobo2b4o2bo2bobobob3o2b3o2bo2b
obo2b3o2b2o9b2o3bobo2b6o2b2o3bob2ob2o2b3obo5b2o2b2obob3o3b5obo3bobo$b
2obo4b3ob2obob2o5bo2bo4b2obob2obo4bob2ob2obo2b2o2bob5o3b5obob3o2bo3b2o
bobob3o5b4o2bo3b4o2bo4bo3b2o2bo2bo4b4ob2o2b2ob6o2bob5o2b2o2bo2bo2bobo
2b4obo2bo3bob2o6b4obo2bobo3bobo3bo2bo2bo$4bo2b4o2bo5bo5b3obo2b4obob4o
3bo2b3obo2bo4bobobobo3bobob2o4bobobob3o4bo2bob2o6b2o2bo4bobobo3b5ob5ob
o4bo7bo2bobo2bob2o3bo2b2ob3o4bobo6bob2o6bob3o2b2o4b3o3bo3b2o4b4obo$2ob
obo2bo2bo2b2obob5ob3obo3b3o4b2o4bobo4b2ob3ob3o3bobo7bo2b3ob3o2b2ob3o2b
ob2o3b2ob2obo3b3ob3o3b2o3b3ob2o2b2o2b4o3b4o2b4ob4ob4ob2o3b2obo3bo8bo2b
5obobo3bobob2ob2o2b3ob4o2b2ob2obo$2ob2obob3obo2b4o3bob4ob2ob2ob2obo6b
4o2bobo2bobobob2ob2ob2o2b2o2bob3o4bo2b5obob6o2bo4bobo3bob2ob2o3bobo2b
2obobob2o2bo3bo2b3ob4o2b4obobobo3b6o5b2obo2b2ob4o6bob2ob2obobobobo7b5o
bob2o$o2bo2bo2bo3bob2o2bobo2bo3b2o3bo2bobo4b2ob3ob2o2bobob4ob2o2b6ob4o
b2ob2o2bob3ob4o3b6o9bo2b3o5b2o7bo5b2obo4bo3b2o2b3o4b3obob2o6b3o2b3o2bo
bo2bobo4b5ob2o2bo2b3ob3ob3o2b2o3bo$2ob2ob2ob2ob2ob2ob4o2b11o2bob2obob
2ob2obo2bobobob5o3bo2bo3bo2b2ob2ob2o4bo2b4o3b2o8b4ob3obob10o2b4ob3o3bo
b3obobob4obobo2bo2b2o2b3ob2obo2bob2ob5o4b3o2b3obo2bob3ob2obobo3b5ob2ob
obo$2o3b3o2b2obob3ob2obobob2o2bobob3o3bo2bo4b2o2b6ob2o2bob2obo2b2o3bob
4ob2o3b2ob2ob4ob2o8b3obo2b5o2b2obobo2bo2b4o2b2ob3o4bo6bob2obobo4bo2b7o
b2obo4bo2b2ob2ob7o2b5o3bo2bo3b2o2b2o$6bobo2b7o3bobobo3b2obo2bo3bob4ob
2obob2o2bo4b4obob2obob4ob4obobob2ob2o2bobob2ob4o5bobo3bo2bo2bob3o5bo3b
2o3bob2o3bob4ob3ob2o2b3ob2o3b2ob3ob3o5bobobo2bob5o5b2obo2b2o9b4ob3obo$
3b2ob2ob5obobo2b4obo2b2obo3b2o2b4o3bo2b4obob2ob2o2bo2bobob2o2b2obob6o
3bob2o10b3o4b2o3bo5bo2b2obob2obo3b2o2bo3b3ob3o2bo4b2o2b2o3b3o2bob2o3b
8o3b2o2b2ob2ob2o3bo2bo3bob6ob2o2bob2ob3o$b3ob2o2b2obob6o4b3o3bo2bo2bob
o3b2ob3obobob6ob3o2bo6b2o2b4o2b8obo2b2obobobo5b2ob2o3bobobo4bo5b3obo2b
o3bo2b4o4bo3b6ob4o2b2o3b2obo2b3o3bob4ob3ob3o2bob5o3b4obo2b2ob2obob2o2b
o$ob2ob3obo2bobob3o5bob2ob3o2b2obo3bo3bob3o5b2ob4ob2ob3o4bo4b2o2bobobo
3bo5bo11bobo2b3o4b3obo2b2o4b2o2b3ob2obob2obob3o2b4obo3bo3b5obobob3obo
2b3obob7o3bobo4bob2o3b4o4bobo2b2obo$o3bo3bo2bo3b2o3bob3o3b2o8b3ob3o4b
4o3b2ob2obo2b3obo3b2o4b5ob2o4b2ob4ob3o3bob2ob3o4bob3o2bo4b4ob6o2b2obo
2b2o7b2o5b2o3bo3b4o3b2o2b3o2bobo2b4o2b5o3bob2o2bo2b6o2b6obo$ob2o2bo4bo
b3o4bo2bob2o3b8obobo2b2o3bob2obobobob3o3bob2ob2o2b2obobobo2b2ob2ob3obo
3bobo2b5ob3o3b3obo2b4o5b2o2b2o2b4obob3obo4bo5bo4bob4ob2ob4o2bob5ob3o3b
obob3o2bobo2bo3b2obob2ob2o2b2o2b2o$3obo3b3o3b3o2b3obo3b9o4b2o2bobo3b3o
b2o3bo6b2obo3bob2ob3obobobo2bob3ob2o2bob2ob2o3bo2b2o2bo2b2o2b2ob3o5b3o
bobo6bo2bob4o2bob2ob3o2b2o3bob4o5b2o2b2obo2b2ob4ob2o2b3obob2ob2obob2o
3bobobobo$2o2b2o5b3o2bobobob2o3b3ob4obo2bob2o4b2o2bo3bob2ob3o5b4obob2o
2b2obob3obo2b3obobobobobob3o3bob3o2b4o3b2ob3o4b3o2b2o2b4ob5ob6o4bo3b3o
3b4ob2o2bob2o3b2ob2ob2o4b2o2bo2b3ob2o2bobo2b2o2b3o$6b2o2b2obo6bo7bo2bo
2b2ob2o2bo4bobo7bobo2bobob5obob2o4bo3b3o2b3o2bo3b3o2bo3bobo2b2o2bo2bob
2ob3ob3o2bo6b2o2bo2bobo2b3o2b2obobob2obo2b6o2bo2b2o3b9o3bo2bob2o2b2ob
6o2bo2bo3bobo2b4o$o3bobob2obo3bobob5o3bobo3bo4b3o2bob2o2b5obobo3bo3b2o
bo3bo4b3o5b7o2bob4obob9obobo2b2ob2o6b2obo2b2ob2ob5o2bo2b6o4b2o4bo2bob
6o2b8obo2b2o2b2ob3obo2bobo2bobo2bo4b3ob2o3b3o$b2obobobo4bo3bo5bob4o3b
2o2b2o2b2o2b5o2b2ob2ob3obo2bo2b2ob2obo4b2ob5ob3obo6b2o2bob3ob2ob2o2bo
2b2o5bo4bob2o3bo4b2obo4b2obo3bob3ob2o2b2obobob3obo2b2ob5ob2o2b3ob6obob
4o2b3obo2bobo3bo2bobo$2b3o2b4o2b3ob2o2b5o2bobobo2b2obob4o4b3o2b2o2b4ob
ob7o3bo3bobo6b2o3b2o4b2o4bob3obo3b3o2b2ob2ob2o3b3obo6bobob4o3b4o5b5o2b
2o3bobo3bo2b4o3b2o3bobobo2bo2bobob2o7bob2obo2bobo2bo$bo5bobo2b2o4b9o2b
3o2b4obob2ob2o2bobo5b3ob2o2bo3bo2bo6b2obo2bob2ob2ob2o2bob2ob2obo2b2obo
b4o2b5o4bo2bo3b3o3bo4bob3o6b3o2bo3b2ob4ob5o2b2o4bobo4b2obo2b2ob2o4bo3b
2ob2o2bobo2bob3o2bo$bo3bobob3o3bo2bo2b2ob2o3b2ob3o3b3o3bobob3obo2b2o2b
3o4bo2bo3b3o2b5obo2bo3b3ob2o3b2obob2o4b2o2bob2o5bo2b3o2bobobobo3b3o2b
4o4bo2bob9o4bob2obobob2o2bo2bo2bobob2obo3bob2obo4b2o2b2o4b2o3bo2b2o$4o
2bo2b4ob2ob2obobo5bob2obo3b5o2b3obo5b3obo4b2ob2obobo4b3o3b3obo2bobo5bo
4bo2bob3ob3ob5obob2obo4bob2o3bo2b4obo5bo2bo4bo2bo4b3ob2ob2obobo4bob5ob
o5b2o3bo2bo2bo2b3obobo2bo5bobobo$2b2o2bo3b2ob2o5b3obo2bob2obo5b4ob6o4b
3o2bo2b3o3bo2b3o2b5ob5o2bobobob3ob3o2bo2b3obob2o2bobo2bobo4b5obobob3o
2b2ob3obobobo6bob2obo2b2o4b2o2bob2o2b2ob5o2bo2b3o7b2ob4o2b4o2b2o2bob2o
bo$bo4bo5bob2o2bo4bo3bo2bo2b3obo2b2obo2b4obo3bob2o2b6ob4o2b3ob10o2b2ob
obo2bobob3o2bob3o3b2o4b4obob5ob2o2b2obob2o3bo2b5o4b2o2bo2bob2o2bo3bo2b
2o2bo3b2ob2o3b5o10b2o2bobob3obobo5b2o$2bo2bo3b2o3bo2bo3bo2bob2o4bobo2b
o5bo2b2o3b2obob6ob3o2bo5bobo4b3ob2o2bo5b3obobo2bob2obo2b2ob5o2b3o2b8o
3bo4b5o2bo2bo4bob2o3bo3bob6o2b4ob2o3bobo2b4o2bo2b5o3b3o3bo3b2ob2obo$ob
3o2bo4b4obo4bo5bo2b2o2b3obobobo2bobob6obobobob2obo5bo5bo7bob3obob7ob3o
4bob3o2bo2bobob3ob3obo2bo3b2o2bob2ob2obo4b2o2b5o9b2o2bo2bo5bob4o3b2obo
2bo3b2obobo2bo2b2ob3obo2bo4b2o$3b3o3bob3ob2o3b2o2b2o2bo5b5o7bob3obo2bo
5bo2bob3o4b3obo2bobo3bobobo4b3obobo2b3obo2b2obob2o2b4o3b2obob2obo2b2o
4b2o3bobo2b3obo2bob7o3b3o2b2o2b2ob4obo3b2o2b6o3b3o3b3o2bob2obo4bob2o$b
5o4b5o2bo4b2o2b2obo2b2o5b3ob2o2bo2bobo2b3obo2bobo5b4ob3ob5o5b3o3bo4bob
ob3o2bob5obobobobob3obo2b6ob2o2b3o4b3obo2bo6bobob3ob2o2bo2b2o2b3ob6obo
2bo2b2o3b2obo2b2ob2obo4bobo4bo2bo$2b4obo3b2obo9bo3bob2ob2o2b4o4bob2o2b
2o3b4o7bo3bob7o3b2ob2o3bo5b2ob2ob4obobo3b2ob4ob3o5bob4o2b2obobo2b3obo
4b6obo4b3obob7obobobo4bobo2b4o2bob2obobo2bo2bobo2b4o2bo4b3o$b4ob2ob4o
2bo3bobo3b3o5b4o6b2o2bo2b2ob3o3bob2ob7obo2b3obob2obo2bo4bobo3bo4b2ob2o
b2ob5o2b3o3bobobo3b2ob3ob7obob6o3b2ob3o5bo2b2ob2o2b2ob2obob3obo3bo2bo
3bo4b2obo3b2o2bo3b4o3bo$bobobobobo2bo2b3ob2obob7o3b2obobo3bobo2bobo3b
2obo4b6obob7ob2obob3obobobobobo3bobob2o3b2obob4o2bo2bo2bo5bo2bo4b2o2b
2o2b2o5bob2ob2ob5ob2o2bobo2bob3ob3ob2o2b2obo2b3obobob5obo6bo12bo$obo3b
3o2bob4obob5obo7bobo2bo3b2obo2bo6b3o2bo6bo2bo2bob3ob3ob2o4bo3bo2bo2bob
o2b2o2b4o2b2o2bo2bob6o3bo3bo2bo2bo2b2o4bob2o2bob3obobobo3bobo2b2o3b2o
4b7o5bobo2b2obob2obo2b2ob2o2b2o2bob2obo$b6ob4ob6o2bo2b2o3b7ob3ob2o3bob
3ob3o2bo2b2obo2bob3ob2o3b2obo3bobob2ob3o3bob3o2bo3b2o3b2ob3o7b2o3bo3bo
2bo2bo2bo2b2o5b2obo2b3obo7b2o2bobo2bo2bo3bo4bo3b2o2b2obo3bo3b4obo4b4ob
ob2obo$ob2o3b2ob5ob2ob6ob4obo3b3obob2ob2obobo3bo2b4ob5ob2o2bob2ob3o3bo
3bo5bo2bobob2o4bo2bo5bobob2o2b2obo2b2o2bo4b8obo5bobo2bo2bo3b3obob2o2b
4o2bobo4bob2ob2o2bob2ob3obo10b5obo2b3obob2o$ob2ob2ob2o2b3ob3ob4o3bob3o
bobo3b2obobo4b2ob3obobob2obo2b6ob5ob2ob5obobobobo2bob3o3b4o3b2o2bo4bo
2bob2ob2ob2o3b10ob2o4bo2b3ob3ob2obobobo3bobo2bob2o2b2obo2b9o3b4o3bobob
3o4b4obob3o$bob2ob4o2bobob3ob2obo2b5ob6ob3obobob3ob3obobobo2b3ob2o2bo
3bo2b2ob5o4b2obo2b2o2bob3o3b6o3bo4b2ob14obo2b3ob2o3b3o2bo2b2obob3o2b4o
3bob2o2bobobo5b2ob3obob2obob2obo4bobo2bo6bob2o2bo$3bobo2bo2bo2bo3bo4b
5o3b2o2b2ob2ob2o2bob2ob3obob2o3b3o3b3ob2o3b4ob2o3bo2b5obo2b4obobob3obo
5bo2b4ob2obob2o2bobo2bobo2b3o2b2ob2o2bo2b5ob3o2b4obo2bo2b2obo3b2o3bob
2ob2o2b2obo3b2o2b4o4b4ob3ob2o$6b2o5bobobo3bob3o4b3obo4b2o4bo2b2o2b6obo
b3ob3obo2b2o2b4o4b3ob2o3bo2b4obob3o5b2obob3obob2o4b2ob2ob2o2b3o2b5ob5o
bo2b3ob2ob2ob2o3bo3bo2bobo2b4ob4ob2ob5o3b2o4b3obobo2b3o2bo2bobo$2b2o2b
o2b3o2bob6ob2obobob4o2b2o2b3o4bo5bo2bobob2o4b4o3bob6ob2obobobo2b2ob4o
4bo2b2ob3o2bo2bo2bobobob2o3bob5obo3b6obo2b2obo9bobo5bo2bo2bo2b3o3bo3b
2o4b2ob4ob2obobobobobobobobo2bo2b2o$b2o2b3obob8obob2obo2bo3b4o3b2obo2b
o3b3o3bo2b2ob3ob4ob6o3bobob2ob2obo5b2ob3ob3obo6b2o5bo2bo7bo3bob2obobob
3obob4o4b3o2bobo8bo2b2ob6ob2ob2o2bob3o2b2obobob2obo3bob4o3b2ob2obobo$o
6bo3b3o2bo3b2ob3o3bobobo6bo3b6ob5o3bob2obo2bo3b2obo2b2obobob2o2bo2b2ob
2obobob3ob3o2b3ob2obobo2bo5b4o2bob2obo4b2o2b2o2bobobobobo3bob2ob2ob5ob
2o3b5o3b3obo2b3o5bo2bo5b3o4b8o2bo$obobo2bobo3b2o2bo3bobob2ob3o4b2obo2b
obo4b2ob3ob2ob3ob2ob2o2bobo6b3o2b3o3bo3b2obo3b2o3bob3obobo2bo5bo2bobo
2b2o3b3ob2o2b6o2b4o2b2ob2obobobo5bo2b4ob2obo2bob4obobo2b2o2b4o3bob2o4b
2o2b9o$bo4bo2bo3b2ob2obobo2b3obob2o4bob2o2b3o3bob2obob2ob2o2b3o2b3o2bo
bo2bob2obobobobo10b2ob5o2b2o3bo4bobo2bo5bobobo2b3ob4obo4bo2b2o3b2obo2b
2obob2ob2o2bo2b2obobobobobo8b4o3b3o3b3o4b3obobo2bo$4bo15bobobobob4o4bo
bob7o2b5ob2ob2o2bo4bo2b5obo6bo3bobo3b3o2b2o2b2ob3ob2o2b2obob2obobob2ob
obo4bo2b2ob6obobobobobob2obobo9bo2bo2bob3ob3ob3o2b5o9bob4o2b2ob3o3bo2b
2o$bobobob2obob4o4bo3b5o2bobob4ob4o2b2ob3ob2o2b2o3bob3obob2o4b2o2bo2bo
bo4bo2b7o3bo3bob2o2bo2b2ob2ob3ob2o3bobo2bo2b4o2bob2o2b2obob2obob2ob3ob
4ob3obo5bo9b6obob9o2b2o3bo3bo3b2o2b3o$bobob6obobo7b2obobo3bo2b2ob4obo
2b3obobobobo2b2ob2obobobobob3ob2o5b4o2bob3o2b3o2b3o3b3ob4o2b2o2bo3bobo
3bo2bobo2bo3b4o9b2obo2b3ob3o4b2o2b2o2b3o2bo2b3ob2ob2obobo2bo2b2o2b2o4b
3o2b5obo2bo$4b6o2b3ob6o5b3ob2ob5ob3o2bo2bo2b2o2bobo4b3obo4bob2ob2obobo
bo2b4o3bob4o2bob3o2bo3bobob2o3bo5bob3o3bob11obob2o3b2o7bob3o3b2obo3bob
o2b2ob8o2bob2o2b2o3b3o2bo2bobob2ob2o3b4o$2ob3o4b3obob2o3bobobobob2obo
3bo3b2obo2bo2b3o5b3ob4obo6b3o3bobobo2b3obobobo3bob3ob2o2b2o2b2o2bo4b3o
2b2o2b7obo2bobobobo2b3obo6b2obobo3b2obob5o2b2obobobob6o6bo2bo2b2ob2ob
3o3b4o4bo$b2ob6o3b2o3bobo3bo2b2ob2ob2o3b3ob3obo4bob9obo2bo2b2obo4bo2b
2obo2bo2b5obobob2o2b2ob2o2bob2obo2bo4b2o2bo4bob2o2bob4o2bo3bobo3b4o4b
2obo2bo2b2o3bo4bo5bobobo3b2ob2obo2b2obo5bo3b2o2bo3bo2b2o$3b3ob3obob2ob
o3bob3o4bobo3b6o2b3ob3ob3obobo2bob2obobo2bob2o3b3obo2bo5bobo2bo4b3obob
2o4bobo3bob2obobobo2b3o3bobobo6bobobob2ob4obob2ob5ob3o7b8o5bobob2o4bob
2o2b3o3bobo2b6obobo$o2b2obobo2bo2b2o2bo7bo2b2ob3o2b4obob4ob6o6bobo2bo
5bobo2bo3bo2b2o2bob3o2b2o2bo2bo2bob2o2bobob3o2b3ob2obo2bob2o2b3o3b2o4b
3o5bo2b6o2bo5bo6b3o2bo2b2ob2o4b6obobo3b4ob4obo2b4o4bo$obobobo8b2o3bob
4o2bob2o2bo3bob4obo5b3obob3o2bob2o2bob2o2b5o4bob2obo2b3o2b4o2bo2bo2bob
o3bo2bob2obo2b2obob2obo4b3ob2obobo3bobobobob4ob2obo3bobob4ob2ob6o5bob
3obobobobob2obo5b3obob2o2b5o$bo2bob2o2bobo3bob4o2b7obo2b2obob2ob3o2b2o
bo4bo2bob3o3b3o2bob3obo2b2ob2obo3b9ob6o2b2obo3bo2bob3ob2o3b5o4b2o2b2ob
2o2bo2b3obo2b7o8bob4obo4b3o2bo5b2o3b3o2b2ob2o2b2obobob5o2bob2o$3b3obob
o3bob2o4bobobo2b2obobob3o2b3obo5b4o2b3obo4bo2b2o2b2obo2bo3bo2b2o4b5o3b
o2bo2b3o3b4obo5bo3b2o2b2ob4ob2obo2bo2bob3o2bobobo2b2o2bo3b2ob3obobo3bo
b3o3bo2b2o3b2ob2o2b3o3b2ob4ob2ob4o4b2o$o2bo2bobo3bo2bo4b2obo2b6obo2b2o
bob4o2b2o2b2o2b2o3b2ob5o4b7obob6o2bo6b2o6b6obobob6o2bob3o4b3ob2obo3b3o
2b5obobo7bobo2bo5bobob2ob2obobob2o3bo2bobob3o2b2obobo2b3o5bo4b3obo$4b
2o2bob3o2bo3b2obo4bobo7bo3b2o4b3ob2o2bob3ob3obob2o2bob2o4bobobo7b2o4b
2o2bobob2o2b3obob2o3bo4bob2obo5b2o2b6o3bo3bobo2bobobo7bo3bobo2bobob7ob
5o2bo2bobo8bo4bob5o2b2obobo$4ob3o2b3ob2o3bo2bo2bo2b3ob2ob2o5b2o2bo3b2o
2bobo3b2o3bo2bobo3bo8b5o2b3ob3obo2b4o3b3ob7ob2obo4bo2bob3o2bo5bo2b2ob
6obo3bobob3obobo3bobo3bo2bob2o2bob2ob4obo3bo3bobo6b2ob3ob3ob3obo$2b3o
5bo2b3o3b3obo2b4o2bo5bobobobob2obob3ob2obobobo4bo2bob5o4b2obobobo2bo2b
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4ob3obo2b2o3b3o2bob5ob5ob5o3bo2b2ob3obo$obob3ob5o3b3o2bo4bo2bobobo4b2o
bo2bobo3b3obob6ob2o2bo5bo3bo2b3o3b3o3bo3b2obob3obo2bob5o2b3obob4o2b2ob
2ob5obo4bobobo3bo4b2o2bobobobob3obo2bo6b2o3bo2b5ob3o3bobobo2b2o3b4ob2o
2b3obobo$3obo3b2obobob2ob2o4b7o3b2o5bo2bob3obobob9o2b2obo2b2ob2obobo2b
3obob2ob2o2b3ob2ob2o3b2obob3obo3bobob2o2bob2o2bo3b2o2b2ob2ob2o2b2ob2o
2bo3bobobob2ob2ob3o2b3o2bob3ob2o4bo3b3ob2obo2b2obobobob2o3bobob2obo$2o
3b8ob2ob2o2bob3o2b6ob3o2bo2bob4o5b2ob3o2bobob2obo2bo2b3o2bo5bob2obo2bo
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4ob2o6bob3o$bo6b2o5bobobob3o3bobobo3bo2b3o4b2obo3b2ob2obobo3bo3b4ob2ob
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bob3obo3bob2o2b2o7b2obobo2bo3b5ob3ob2o2b6obobobo5bobo$2b2ob2obobo2bobo
2b7obob2ob2obo4b2o2bob4ob2ob4ob2obob2ob4o2bob7o2bo3b2ob2o2b3o2bobo2bo
3bob2o2bo5bo2b7obobo2b4o2bob3o2bo2bo5bobo3bo3b3o2bobo2bo3b2ob5o2bo2bob
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ob2o2b7o2bo6b3o2bob3o2bob3ob3obo2b3ob3o4b3o3bob3obo2bobo3bobobo2b2ob2o
bobobo2b3obo5bobob2ob5o5b9ob2ob2ob2o8bobob3ob2o3bobobo2bo7bo2bo$3ob2ob
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4ob3o2bob3ob2o2b5ob2o7b3o3b2o5bo2bo5bob2obobob3obob3o2b3o6bobo2b2o3bo
2b2o8b2o2b2o2b2o3bo3bo2b2o$4o4b3o2b5ob5o2b2obo4bo3b2obobo3bo3b3ob2o2bo
bo2b3o2bob6o2bob3ob2o2b2o2b5o2b5o7bo3b3o5b3ob3o3b2o2bo2bo3b3o2b2ob5o3b
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2o2b3ob3ob2o3b3obob3obob3ob3ob2ob2ob3o4bobob3o4b2o7b2o2b2o3b2ob2ob2o2b
2ob5ob3o2bo2b2o2b2o3b2obo2b2o2b3o2bo2b4obob2ob2ob3obo3bo7b3o2b6o2bobo
2bo3bo2bo2bobobo2b2ob4o4b3o2b3o2bo$2bo2b2obobob2ob2o2b2obo4b3obobo2b3o
b2o2b2o2b2ob2obob2o2b3ob2obo2b2o5bo2bob6o2b3o3b4ob3o2bobo5b2ob2o4bob2o
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2ob3ob2o7b2ob2o$5obo2bo3b2obo2bo6b3o2b2obob2ob3obobob2ob2o3b5ob2obo2bo
b2o4b2o2bo2b3o3bo2bob6o4b2obob6o3bobo2b4o3b3o2bo9b7o2b3o4bo3b2o2bobob
3obo2b5obob2o5bob2o2b4o2b3ob4o2bobo3b2o2bo2bo2bo$2o5bo4b2obobo2b2ob4o
2b2o2bobob3ob2obobo2b7o3b2ob4o6b6ob4obo6b3o3bo3b2o2b2o4b2o2bo2b5obo2bo
2bo2b3o2b2o2bob3o5b2o4bo4b9o2b3o2bobob4o6bo5bobo3bo2bob3o3bo3b2obob3ob
3o$2o4b2o5bob2o2bob2o2b4ob2o2b2ob2obo2bo6bo3b2o4b2o3bo2bo3bo2b2o2b4o2b
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3o2b4o2bob3o2bo8b2o2bob3ob3o2b2o2bobo$2bob3obob2obo3b4o4bobo3bob2obob
4o3bo5b3o2bo2b2obo2bo4b2obobobobo3bobo2b2ob2ob2obob2o3b2o3bob4ob3o5bob
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2o$o2bob2o3bob5obobobobobobob2obob4o3b2o2bo2bo3bobo8b7obo3b4o3b3o3b2o
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o3b3o2bob4o10bob4o4bo3bo$2bob3o7bobobo2bo2b2o6bo2bo3bobo6b2obo8bo2bobo
4b2obo5bobo2b2o3bo2bo2bob3obo5bo3b2o9bo5bobobobo2bob3o3bob2obo7b8o2bob
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5b4o2b3ob2ob2o4b10ob2obob2o2b2obo5b3o2b4o3b3ob2obo2bo2b2ob2o2bo4bob2o
3bo4b3o3bob2ob4ob2o$o2bo3bo2b3obo2b2ob2obobob3ob2ob4o2b7ob4ob6o3bobobo
3bo5bob2ob3o2b2obo5bobo2bo7b2o2b3obo5b2obo2bobo4b4o4bo7b2o3bo4b5obo2bo
bob3obobobob2obo3b2o4bob2o3b4o3bobob6ob2ob4obo$4bo3b2o2bo2b2obobob2o2b
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b2obob2o2b4ob2obob2ob2o$7b2o3bobo2b4obob4ob3ob4o2bobo3bob5obo3b3ob3obo
2bobob2obobo3bobobo3b2o3b2obobo2b2o2bo2b2ob4o2b3o3b3ob2ob7obob5obo2bo
6bo2b2o4bo2bo2bob2ob3o2bobob3o2b2o8b2ob2ob4o2b2obobob2o3b4o2bo$2o2bo3b
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bo3b3obob3o2bo3bobo2b2obobo3bo2bo2b2obo3bo3bobo3b2o2b2o2bo2bo2bo2b4o2b
3o3b3obo2bob3ob3obobo3b2o3bob4o5bobo$5bo3b7obob2o2b4ob2o3bo3bo3bo2b2ob
4o2b2o2bo3b2o2bo2bo6b2o2bob3ob6ob2o2bo2b2o2bob2o2bobo4bo4b3o2bob2obobo
b2obobo3b3ob2obo2bo2bo7bo5bobo2b9o5b7o2b3ob2obob5o2b2obobo2bobob3o$2bo
b3o2bob2ob3o2b2o2b13o3b2obob5obobobobo4bob2ob2obo2b7o2b3o4b3o2bobo3b2o
2bo2bobob2ob2ob2o2b8o3bobo2b3o3bo3b2obobob4o7b2obo3bobo10b3obob2obob2o
4b2obo2b9ob2o2b3obo4b3o$2b2ob5ob2ob2o3b2ob4o2b2o2bo3bo4bobo3bo2b2o3b3o
4bob3obobob2obo2b2ob3ob3obo7bob4ob2obob2o2bo2b2obo2bob4obob4obo2b4o2b
2ob10obo4b3o9b2obob2o3bob4obo5b2o5b2obobo3b3obobo2bobobobobo$2b4o2b6o
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bobo2bo6b3o3bo2b2obobobo2b2obo3bob2obo3b8ob4obobobo2b5obobobo3b2o3b2o
2b2ob2obo2bob3ob2o2bob8o$3o2bo2bo4bo2b5obobo2b5obobobo3b5ob5obobo2b2ob
3o2bo3b2obobob4o2bo2bo5bobob3o2bo2bo2b3ob2ob3obo2b5obo3b3o2b2obob2o5bo
bobo2bo3b2ob2o3b2o2bo3bob2o2bob2o2b2o2b2o2b5o2bo4b3o4b4ob2o2b2obo5bo$
2o2b2o2b2o3b5ob5o2bob3ob2o2b2obo2bob3obo2bo5b4ob2o3b2ob7o2b2obo2bo5bob
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7b3o2b2ob2o2b2obobobobo3bobo2bo2b4o$obo2b2o3b2ob2o4bo2bo2bob8obo3bo7b
2obobo4bob3o2b3ob2o2b2o4bo2b6obobobobobobob5o2bo2bob5o2b3o3bob2obo2bo
2bo2bo2b3ob5o3b4ob3obobobo5bobo2b2obobo3bobob4obo2b3obobo2b2o7b4o2b3o
4bo$2bobo2b4o3bob4o2b2obobo3b6o4b5obobobo2b4o2bo4b3obo3b4o2b3o2bob4o2b
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3obo2bo4bobob2o2bob5o$b3obobo3b2o3b3o3bobo4b2o3bo3b5o4b2ob2o3bo4b3obob
6ob4obobo2bo2b3obob2obob3obob2ob2o4b2ob3obo6bobobob2obobobobo2b2o2bobo
2bo2bo2b3o2b2ob2ob3obo5b2ob3o5b2obo3b2o2b2obo14b3o3bob2o$5b6o3b4ob3o4b
3ob3ob3o2bo2bo2b5o2b2ob2o2b3o2bo2b3ob2obobob2o2b2o6b3o3b3ob3obobob4obo
4b3obobo5b4o6b2o3bobob5o4bobob2obo2b2o2b2o2b2o6bo4b2obo2bo2bob2o3b4o2b
4o2bo2bob2o4bo2bo$2o2b4obob2o7b2o2b3ob4obob3o8bo6bob2o3bo5b2ob4ob3obo
3bo3bob2obobo2b2o3b2obob4obob3obo3bo2b4o4bo2bobo4bo4bo2b3o5bo3bo4bob2o
6b7obo5bob4obo3b3o2bob3o2bo2bo3bob4o2b4o$2b12o2b2ob2obo2bo2b2ob2obo3b
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3ob2ob2o2bo$bo7b2ob2o4b2ob2o3b2ob4ob2ob5o3b2o4bobobobob4o2bo6b3o2bo2bo
3b7o3bob2o2b2obob4o5bo4b3obo2b2ob2o4b4ob3obob2obo3b2o2b5o5bo3b2o3bob2o
2b8o2bo2bo2b2obob4ob2o2bo2b2obo2b3o3b2obo$obob3o2b4obobobobobo7bob2o4b
2ob3o3bob2o3bobobo3b5o3b2obo2bo3b2obo4b2obobob11o2bobo3bo2b2ob8o2bobo
2bo2b4obo2bobo2bobo3bobob3o2b2ob2obob2ob2obo6b2obobo4bo4bo7b2obo2b6o2b
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4b3o3bob2obobob2obo2bob3o4b2ob4o3b4obo2bobob5o2b3o3bo2bo2b2ob2o5bo2b2o
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2bo2bo2b2o2bo4bo2b2obo2b2o2bo2b7obob9o2bobob4o4bob3obo3bobo2bo3b3o3b2o
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4bo2b5o3bo$7obobo2bobo3b3obo2b4ob3o3bobo3b2o3b3o2bobobobo3bob6o2b2ob3o
b3ob2o3bob2o3b2o2bo3bobo2b3ob2o2bo4b2o2b3obo2b4o2b3obo3b3ob2obo2bob3o
5b4o3bob2o3b2ob4ob4ob2o2bo2bob2obo6b2o2b3ob2o3bo2b3o$6bo4bob2o2b3o6b2o
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7b2o3b4o5bobob3ob3o4bobob2o5bo$obo2bobo2bob2o2b2obo2b2obob3ob4obob9o3b
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3o4b3o3bo3bo4b7o6b2ob2obob9ob2o2bobob3ob2o2b2ob2ob4o2bob4o3bobob3o2b3o
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b4obo$b4obo3bo2bo3bob3obobo2bob2obobobo5b2obob3ob2ob4o3bobob2o2bo3bo5b
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$bo3b4o3b2ob2o3b3o4b6o2bob6ob3o3b2ob2obob6o2b3obobob3o2bo3bo4b3ob2o2b
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obobobobo3bo4b2ob10ob2o4b2obo2bo2bo2b2ob3o2b2o5bo3b2obo2bo5bo2bo2bobob
2o4b2ob2o3b6obo2bobobo2b3o4bo7b2o2b2o3bob7o2b2o3bo3b2o2b2o3b2o6b3ob4ob
5o3b4o5bob5obo2bo4bobo$2b2obo2bob2obo3bobob2ob3o2b4o2bob4o3bo3bo3bo3b
4o2bo2b3o6bo3bobo3b4ob2o4bo3bo2b3ob3ob2o5bo2b6o2b3obo2bo2bobobo2b3ob4o
bo2bo4bo2b3ob6obo5b2obobob2o4bobo2bob2ob3o4bobobo4b6o3b3o$3bob2o3b3ob
3obo2b3o2b3obo3bo5bo2b4o2bob2obo5bob2ob5ob6o2bob2ob2obob3o2b2obo3bo2bo
b2o2bob2o2bobob2o3b2obo2bobob2obob4o4b2o9b2ob3ob7o2b3o3bob2o2b2o2bobo
2bo2bob3ob4o3bo5bob2obobo3b2o$5b2obo6b2o4bobo4bo2b2o2b2obob2obo2bo2bo
2bo3bob3ob3o5bo2b4o4b2ob3o4b3ob2ob2o2bo4b3ob2o3bob2o3b2o4b3obo2b3obo8b
2o2b2o2bo2b3o2bob2o3bo5b4o2bo2bo2b6o2b2ob3ob5o3b4obobo3bobo4bo$3b2o3bo
bo4bob13o2bo2bo3b3o2b3o2b4obobo3b5o3b5obobobobo2bob2ob2o2bo4bobob3ob2o
bo2bo2bob2ob2o2bobo2b10o2b2o3bobob3o2b4ob2obob2obo2bobo2bobo2bobobo2bo
7b6o2b3o4b5o2bob3o2bob4o$b2o2b2ob2o4bo4b3ob4ob3ob2o2b2ob2ob2o2bo4bob2o
3bob2obob5obobob2ob2obo2b2ob3obo4bo2b7o2bob2ob2o2bo6b3o2b3obob2ob2ob2o
2b2ob3o2bo2bobobo2bob2o3b3ob2ob3o3b3o5b2o2b2o4b4o2bo2bo2b6obo2b2o2b2o$
3b4ob2o3bobo2bob2ob4ob2o6bo2b4obo3bo2b3ob2o5b2o2bo3bobo4bo2bo2b3obo6bo
2bo14bo3bob2o5b3o2bo2bo4bob5obob5o4bo3bob3o2bobo6bob4o3b2obo2bobo3bob
3obo7b2obo2bobobo3bob3obo$b3o2b3o2bo3b4o2bobobobo2b3obo3bo6b2o2b2obob
3o4b2o2b2o2b3o2bob2o2bobobob3o2bobob4obo6bo2bob2ob2obo2b2obo2bob4o5b2o
4bo2bob2ob3ob2ob2o2b5obobo2b7o3b3o2bob3o2b3obobob2o3b4ob2o5b2o3bo4bo$b
2o2b3ob2obob2o4bob3o2bo2b2obob2obo3b3obo2b4o2bob2ob6obo3b3ob3o3bo2bo4b
3o2b2o4bo5b2obobobobo2b5obo3b6obobo8b4o6bob4o2bob4o3bob3o3b3o4bobob4ob
o4bob2obob2o2bo11b3o4bo$2obob2ob2ob3ob3obo2b2o2b2ob2o2b2o4bo4b2ob2o3b
3o3b4ob2o3bob4ob2o5b3ob8ob2o4b3obob2o4b2obo4bo3b3obo3b3o3bob2ob3o6b5o
2b3o3bobob2obob2obo2bo4b3o4b3o5b3o2bob2obobobo3bobobobo2b5o$2o2b3ob2ob
2ob2o3bo2bobo5bobob2o2b2o4bo2b2o2b2o2bo4b3ob2obo2b3o2b2o5b2o5bobo3bo2b
ob2obob3obo3b4ob4o2b2o2b3ob2obobob3obob4obo4bobobobob2o2b3o2b2o5b2ob3o
2bobob3o2b2obobob2obob2ob2ob6ob2o4b2ob2o$2b2ob2o4b5ob2o3bobobo2bobobo
2bo2b2obo2b2ob3obo4bob2o3b5ob3ob3obobo3b2o3bob3obobo2bo3bo5b2ob2obo3bo
bob2o5b2o3bo2b2ob2obobob5o2bob3obo3b2ob6ob2o2b2o3bob2o2bo2b4obo3b4ob3o
5bo3b2obobobo2bo$bo2b2o2bob2ob2ob5obobo3b3obo2b6obob6obobo3b4obo2bob2o
b3ob2o2b4o5b3ob2ob2ob2ob2o2b3obo3b3obob5o2bo2bo2b3o3bob7obob4ob2o4bob
3ob5o2bo2bo6bo2bob3ob4o2bobo2b2o2b2obob3ob2o2b3obo2b4obo$obo2bobo2b2o
4b6o2bobob2o2bo2b4ob4o4bo2b5o2b4o3b3o2bob2o2b3obob4o2bo5bo2bo2b2ob2o2b
3o3b2ob3o2b2ob3obo2bo4b5ob3obo3bobobo2b5o2bobo2b4o2b3o2b2ob3obobobob2o
bo2b2obo2b3o7bobob4o2bobo2b3o$obo4bo3bo3bob2o2bobo2b4ob2obo2bo2bo5bo2b
ob4ob3ob3o3bob2o2bobo2bob2o2bobobobob5ob3o2b5ob3o5bob2o3b2o3b2o3b3ob4o
2bo2b4o5b2ob2obobo2bob4ob2obo2bobo3bobo7b3o2b4obo2b2ob3o6bo2b2obo3b3o$
2o2b2o3bobob4ob5obob2ob2ob3o4bo2bobo3b3o2bob2o2b4ob3o2bob3o11bobobobob
2obobo2b2ob3obobob7obo3bo7bo2b4o4bo2bob7obo5b2o2b3o2b2o3bob2ob6o4b2obo
bob2o5bo2bob2o2bo2b2ob3obo4b4o$obo2b2ob4o3b3obob4ob2o2b3obobobob6obobo
5b6obo2bobo10bobo2bo4bobob7obo3bo6bobob2o2bo4bob2o2b4o3b2o3bo3b3obo2bo
b4o3bo2b5o6bo2b2o2b3o6b6obo2bo3bobo2b3o2b4o6bo2bo$2b6obobo2b3obo3bo2bo
3bo2bo2bo3b4o4bo2bo3b3obob3o3bobo2b5ob2o3b3ob3ob5obo2b5o2bo5bob2obob4o
b2o7b3obob4ob6obo2bo2b5ob3o2bo3b2o3bob4obobo2b5o2b2o4b3obob3o6bo4bo2bo
3b2o$2o2b3o2bo2bo3bo2b3o2b4o2bob2o2bo4bob2o3bo2b2o2b2ob2o2b3ob2o4b5o2b
2o3bo2b3o3b2o2bo3b4o2b2o2bob2ob2obo3b2obo7bobob5o3bo2bo4bo8b4o2b2o3b2o
3b2o2bob7ob2obo2b2ob2obobob2obo5b3ob5o2b4o$bob6o4bo9b2ob6obo5b2o4bo4bo
b3ob2o2b8obo3bobob3o2bob2obob3o5b3o2b4ob2o2bobob4obo5b5ob2obo5b6o2bob
2ob5o2bobo4b3o2bob3obo2b2o2bo2b2o3b2o5b4ob3o2b2obob2o3b2o2bo2b2ob2o$2b
5ob3o2bo3b2obob2o4b2o2b3ob2obo2bob2o5bob3o4bo6b2ob2o2b2o3b3ob6ob5ob2ob
obo2bobob3ob2ob2ob3obob4o2bobo2bo3b3o3bo3bo3bo2bob3obob3o3bo2bo2b2o3b
2ob2ob3ob4o2bob2o2bo3bobo2b2o5bob2ob3ob2o2bo$6b2obo2b2o4bo2bo2bob4ob2o
b2o2b3ob3o2b2o3b2o3b4o2bo2b2o6b8obob3o6bobo2bo3bo3b2obob2ob3obo2b2o2bo
2b4obo3bob5ob5ob2o4b3o2b2ob2obob3ob4ob3o3b2ob4ob2o2bob2ob2o3b6ob2o3bo
2b3o3b2obo$o4bob4ob3o5bo5bobobo2bob2obo3b2o3bobob3o3b2obo2bo3b3o3b5o2b
3o3b2o2b2obo3bob3obo3bob2o5bo2b2o2bob7ob2obob3ob6ob4obo5bobobo2b3obob
5o3bo3bo7b4obo2bo4bob2o6bo2bo5b3obobo$5o2bobob2ob2ob5ob2o2bob2obo3bobo
b2ob3obobo3bob2o2b2ob2o3bo2bo6b3o4bo2bobo3bo3bo3b3o2bob3ob3o2bo2bo3bo
5b3obob2o7b3obobo5bobob4obo4b2obo2b3o2b3obo3b3obo3b3o2bob2obo5b8o6b2ob
2o$bo5b3ob3ob4o3b2o2bobobob2ob2obo3b2ob2o3bo2bo2b2o2bobob2o2b8o4bo2bo
5bo2b3obo2bo2bobob3o5bobob5ob4o6b4ob3obo2bobo2bo2b5obo4b2obo2b3ob2o2bo
3bobo2bobo2b2obob3obo4b3ob2ob2obo2b5obob3obo$2bo2bo3b2obobo3b2obobob3o
bo2bo2bob2o2b2obobo3b3o2bobobo2bobo2bob2o2b4o2b3o3b4obobo2b2obo2bo2bo
3b3o3b2obobo4b5ob2o4bobo4b2ob2obob6o2b2obo2bobo3bobo3b2o2b5ob2obo3b3o
2b2obo2bo4bo2b4o2b2o2bobob2o3bo$2obo3b4o3bo4b2o4bo3b8o3bo7bob3o2bob2o
2bob3o3bob3o6b2ob4obobo2bob2o2b3o2bobo2bo4b3obobo2bob2obo4b3obobobo2bo
bo3bo2bobo3b2ob8o2bob2obobo3bo2bobob3o2bo2bob2ob4ob3ob2obo2b3o2b2obo2b
3o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: March 28th, 2019, 10:11 pm
by Hdjensofjfnen
77topaz wrote:
AlephAlpha wrote:

Code: Select all

x = 14, y = 14, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
b2o8b2o$4o8b2o$o9bob2o$2b2o6bobo7$bobo6b2o$2obo9bo$2o8b4o$b2o8b2o!
This rule shows an interesting phenomenon of a sort of temporary breeders that form from the burning of wickstretchers' fuses:

Code: Select all

snip
Wait, hold on a second.

Code: Select all

x = 6, y = 3, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
4o$$6o!
EDIT: Wait, what?

Code: Select all

x = 110, y = 3, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
100ob9o$98b2o$101bo!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: April 26th, 2019, 6:38 am
by GUYTU6J
Retrieving an old post from here:p372,up to 5-fold

Code: Select all

x = 180, y = 25, rule = B2i3aijnq4city5ackqy6cik7c8/S23-a4city5aiknq
2o41b2o41b2o41b2o28bo12b2o$o42bo42bo42bo31b2o9bo$3o40b3o40b3o40b3o25b
4o11b3o$159b2o$115bo42bo2bo$113bobo41bo3bo$113b3o42b3o3$70b2o$73bo103b
o$69bo106b3o$72bo105b2o$71bo2b2o81b3o15b3o$70b2o84b4o14b3o$69bo86b2o$
69bobo61b3o21bo$69b3o18b2o41bobo22b2o$89b2o42bo25bo18bo$87b3o68b2o17bo
$31b3o83b3o38bobo8b2o6bo$33bo53b3o29bo39bo8bobob3o$32b2o84b2o50b3obo$
84b2o88bo$84b2o85b3o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: April 26th, 2019, 8:19 am
by Ian07
GUYTU6J wrote:Retrieving an old post from here:p372,up to 5-fold

Code: Select all

RLE
That's only a 1/2/3/4-fold, since the period needs to be divisible by 5 to have a 5-fold.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 12th, 2019, 9:06 pm
by GUYTU6J

Code: Select all

x = 5, y = 6, rule = B3-jknr4city5ijk8/S23-a4city
2o$3b2o$4bo$o3bo$o2bo$3o!
EDIT:Uh no,it can't be looped.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 13th, 2019, 7:56 am
by Gamedziner
GUYTU6J wrote:

Code: Select all

x = 5, y = 6, rule = B3-jknr4city5ijk8/S23-a4city
2o$3b2o$4bo$o3bo$o2bo$3o!
EDIT:Uh no,it can't be looped.
Small predecessor of a large p44, same rule:

Code: Select all

x = 5, y = 5, rule = B3-jknr4city5ijk8/S23-a4city
3o$obo$o2b2o$4bo$2b3o!
Two of them can be combined to be one of the phases of a related p44:

Code: Select all

x = 17, y = 17, rule = B3-jknr4city5ijk8/S23-a4city
2b3o$4bo$o2b2o$obo$3o8$14b3o$14bobo$12b2o2bo$12bo$12b3o!
p12:

Code: Select all

x = 9, y = 6, rule = B3-jknr4city5ijk8/S23-a4city
5b3o$b3obobo$bobob4o$4ob3o$b3o2bo$2bo!
EDIT: This sparse puffer, too (moves at 36c/168 diagonal, or a reduced speed of 3c/14 diagonal):

Code: Select all

x = 33, y = 21, rule = B3-jknr4city5ijk8/S23-a4city
17bo$17bo$17bo2$16b3o$4bo11bobo$3b3o12bo$3bobo$b2o5bo$2o4b2obo$b2o6b2o
16b2o$2bo4b3o16bo$8bo17bo2b3o$26b2obo2bo$18bo9bo3bo$18b2o6b2o4bo$18bo
b2o3b2o4bo$21b2o3b3o$19bobo5bo$18b3o$19bo!
This rule may benefit from some searching.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 13th, 2019, 8:47 pm
by Hdjensofjfnen
GUYTU6J wrote:

Code: Select all

x = 5, y = 6, rule = B3-jknr4city5ijk8/S23-a4city
2o$3b2o$4bo$o3bo$o2bo$3o!
EDIT:Uh no,it can't be looped.
Reminds me of the command character on an Apple computer. (⌘)

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 3:55 pm
by AforAmpere
1000th post!

1,2,4:

Code: Select all

x = 92, y = 26, rule = B2n3aijr4jk5ek6cin7e/S23-ay4einrtyz5kn6cen7
2o38b2o38b2o$obo37bobo37bobo$ob2o36bob2o36bob2o$3o37b3o37b3o$2o38b2o
38b2o4$68bo$67b3o$66bo2b2o$66b5o3$87b5o$87b2o2bo$88b3o$89bo4$36b2o38b
2o$35b3o37b3o$34b2obo36b2obo$35bobo37bobo$36b2o38b2o!

Code: Select all

x = 114, y = 39, rule = B2n3aijr4jkz5cey6cn7e/S23-ak4einrtyz5en6cin78
2o48b2o48b2o$obo47bobo47bobo$ob2o46bob2o46bob2o$3o47b3o47b3o$2o48b2o
48b2o6$77bo$76b3o$75bo2b2o$75b5o12$109b5o$109b2o2bo$110b3o$111bo6$37b
2o48b2o$36b3o47b3o$35b2obo46b2obo$36bobo47bobo$37b2o48b2o!

Code: Select all

x = 180, y = 40, rule = B2n3aeijr4jk5ce6cn7e/S2-c3-ac4einrtyz5en6cen7c
2obo2b3o41b2obo2b3o41b2obo2b3o41b2obo2b3o$3bob2ob2o43bob2ob2o43bob2ob
2o43bob2ob2o$6bobo47bobo47bobo47bobo5$179bo$125bo53bo$124bo$123bo54b2o
$123b2o$124bo53bo$177b3o$179bo$177b3o$178bo4$144bo$143b3o$143bo$128b2o
13b3o$129bo14bo$129b2o$127bobo13b2o$127bobo$127b3o13bo$143bo4$93b3o$
64bobo26bo2bo67bobo$63b2ob2obo23bo2bo4bo61b2ob2obo$64b3o2bob2o19bob3o
5bo61b3o2bob2o$91b2o2bo$91b3o$101b2ob2o!
1,2,3,4:

Code: Select all

x = 341, y = 59, rule = B2n3aijr4ejk5e6cin7e/S23-ak4-ajkqw5ekn6cin7
3$5b4o96b4o96b4o86b4o$7b3o97b3o97b3o87b3o$4bob2ob2o93bob2ob2o93bob2ob
2o83bob2ob2o$8b2o98b2o98b2o88b2o5$334bo$336bo$334bobo$334b3o$333bob2o$
333b3o$334bo7$241bo$241bo$241bo3$242b2o$243bo$243bo6$238bobobo$238b5o$
288bo$239bo47b3o$239b3o44b2obo$242bo43b3o$243b2o41bobo$197bo44bob2o40b
o$195b3o2bo40b3o44bo$194b2o3bo5bo$195b2o2bob2o2bo2b2o$196b2o11b2o$197b
2obo7b2o$133b2o69b2obo115b2o$132b2ob2obo66b3o114b2ob2obo$133b3o70bo
116b3o$134b4o186b4o!

Code: Select all

x = 278, y = 62, rule = B2n3aijr4ejkz5eky6cin7e8/S23-ack4einrtyz5kn6cen7c8
6$6bo79bo79bo79bo$3b3obo75b3obo75b3obo75b3obo$5b3o77b3o77b3o32bo44b3o$
3bobobo75bobobo75bobobo30b3obo40bobobo22b2obo$3bob2o76bob2o76bob2o30bo
5bo39bob2o26bo$197b2o2bobo66b4o$200b4o66bobobo$198bo72b3o$199b2o3$194b
o2$190b2ob2o$191b2o$190b3o$191bo2bo$191b3o10$241b3o$240bobobo$241b4o$
108b2obo56bo2bo69bo26b2obo$107bobobo55bo2bo70bob2o22bobobo$107b3o57bo
4bo19bo74b3o$107bob3o55b5o95bob3o$108bo60bo22bo75bo$191b3o$190bobo$
193bo$192b2o$190b3o6$186bo$185b2o$185bo5b2o$191b2o!
1,2,4,5:

Code: Select all

x = 111, y = 25, rule = B2n3aeijr4jkz5c6cn7e/S23-ac4einrtyz5kn6cn7c
2o28b2o28b2o28b2o14b2o$obo27bobo27bobo27bobo13b3o$ob2o26bob2o26bob2o
26bob2o12bob2o$b2o28b2o28b2o28b2o13b3o$bo29bo29bo29bo15bo$77b3o$75b2o
2bo$76b3o$77bo4$87bo$86b3o20b2o$85b2obo18bo$88bobo12bob2o$57bo47bo2b2o
$56b3o26b2o2bobo12b3ob2o$55bo2b2o25b2o18b2obo$55b3o31bo16b3o$43bo29bo
33bo$42b2o28b2o20b2o$41b2obo26b2obo18b2o3bo$42bobo27bobo19b5o$43b2o28b
2o21bo!
1,2,4,7:

Code: Select all

x = 384, y = 89, rule = B2n3aeijr4ejkz5cek6cin7e8/S23-acky4einrtyz5ekn6-ak78
306b2o$307b2o64b2o$2b2o108b2o108b2o80bob2o24b2o39b3o$3bo109bo109bo79b
2obo26bo40b2o$4o106b4o106b4o79b2obo23b4o38b2obo$303bo3b3o61b4o5bo$303b
2o3b2o65bobob4o$303bo5b2o57b2o2bo4b2o4bo$303bobo2bobo52bo2bobo3bob4o2b
o2bo$303b2o3b4o51bobo2bob2ob3ob3o2b2o$308bobo52bo2b3o5bob3ob2o$308bo
46b2o5b2o2b2o6b3o$306bobo45bobo$307b2o45bo$306b2o46b3o$306b2o48bo$307b
o$310bo11$258bo$258bo$258bobo$258b3o8$194b3o174b2o$194bobo172bo$196bo
168bob2o$196bo101bobo66b2ob2o$295b2o3b2o65bo3bo$295b3o69bo2bo$295b2o2b
o68b3o$295b2ob2o69bo$296bob2o$298bo60bo$297bobo58b3o$297b2o60bo$296bo
2bo58b3o$296b5o57b3o$297b3o$298bo2$299bo$298b2o$297bo$295bo3bo$295bob
2o$296bob3o63b2o$294b2obo2bo17b2o40b3o3bo$294b2ob3o18bobo39bobo4bo$
298bo16b2ob4o37b2ob2ob3o$313bo6bo40b3o$121b4o106b4o77bobo2b3obo40b2o$
121bo109bo80bobo3b2obo37b4o$121b2o108b2o79b2obobo2bo38b2o2$357b2o$350b
3o4b2o$349b2o2bo4bo$349b3ob2o2bo4bo$351b2o2bo5b3o$350bo3bo5b2obo$350b
2ob3o5b2o$351b3obo$353b2o$353b2ob2o$353bo3bo$354b3o$355bo4$367b3o$363b
4o2bo$363bo4bo!

Code: Select all

x = 224, y = 47, rule = B2n3aeijr4jk6cn7e/S23-aky4einrtyz5n6cen7c
204b2o$203b2o2bo$3o57b3o57b3o57b3o9b2o9bo4bo$2bo59bo59bo32bo26bo9bobo
13bo$b2o58b2o58b2o30bobo25b2o19b4ob2o$153b3o36bo2bo6bo3bo$203b3o3$212b
5o$212b2o2bo$213b3o$214bo3$180bo$179b3o$178bo2b2o$178b2ob2o$178bo3bo$
180b2o$177bo$178bo2bo33b2o$179b2obo32b2ob2o$181bo36bobo$217b2obobo$
178bo2bo36bo4bo$180b3o38bobo$181bo37b5o$211b3ob4obo$215bo2b2o$216b2o$
215bobo$181bo31bo3bo$179b4o19b3o7b5o$119b3o57bo2b2o17bob2o7bo2bo$92b2o
25bobo30b2o26bo18b2o2bo8b2ob2o$92bo26bo32bo26b2o18bo4b2o7b3o$92b3o57b
3o25bobo16b4o11bo$179b2obo18bo2b3o$180b4ob2o$185bo3$184bobo$185b2o2b2o
$189b2o!
1,2,4,8:

Code: Select all

x = 363, y = 94, rule = B2n3aeijr4jk5e6cn7e/S23-acky4-ajkqw5ekn6cn78
7$330b3o$329bobobo$329bob2o$330b3o$332bo$326bobo2bobo$331bobo$328bo2$
331b2ob4o$6b2o98b2o98b2o108b2o12bo5bo5b2o$6bo3b2o94bo3b2o94bo3b2o104bo
3b2o8bo6b2o3b3o$6b4obo94b4obo94b4obo104b4obo5b2o2bo2bo2b2o4b3o$6b2o3bo
94b2o3bo94b2o3bo104b2o3bo6b2o4bobo5b3o$7b4o96b4o96b4o106b4o21bo$8bo99b
o99bo109bo$303bo27b2o2bo$302b3o26bob2o$301b4o28bo3b2o$301b2ob2o31bo$
333bo2bo$334b3o2$302b2o5bo$300bob2o5b2o$238b4o58b2o2bo6b2o35b4o$237b3o
bo58bo6bo4bo34b3obo$236b2obo60bo2b2o3bo3bo33b2obo$237bobo52bo3b2o10b2o
bo35bobo$237bo2bo50bob3o4bo6bo39bo2bo$238b3o50b4ob2o2bo2bo3b2o39b3o$
291bo2bo6b2o$292b2o10bo$296bobo4b2o$303bo$296bo59bo$349bo$348b2o4bobo$
348bo10b2o$350b2o6bo2bo$192b3o107b3o39b2o3bo2bo2b2ob4o$192bo2bo106bo2b
o39bo6bo4b3obo$193bobo107bobo35bob2o10b2o3bo$193bob2o106bob2o33bo3bo3b
2o2bo$191bob3o105bob3o34bo4bo6bo$191b4o106b4o35b2o6bo2b2o$342b2o5b2obo
$343bo5b2o2$316b3o$316bo2bo$315bo31b2ob2o$314b2o3bo28b4o$318b2obo26b3o
$317bo2b2o27bo$124bo99bo109bo$122b4o96b4o84bo21b4o$121bo3b2o94bo3b2o
81b3o5bobo4b2o6bo3b2o$121bob4o94bob4o80b3o4b2o2bo2bo2b2o5bob4o$121b2o
3bo94b2o3bo81b3o3b2o6bo8b2o3bo$125b2o98b2o82b2o5bo5bo12b2o$315b4ob2o2$
324bo$319bobo$319bobo2bobo$320bo$320b3o$320b2obo$319bobobo$320b3o!

Code: Select all

x = 182, y = 37, rule = B2n3aeijr4ejkz5e6cn7e8/S23-a4einrtyz5kn6cn7c
2o48b2o48b2o48b2o9bobo2b2o$obo47bobo47bobo47bobo8b3o2bobo$2bo49bo49bo
49bo8bo3bo2bo$3o47b3o47b3o47b3o12bob2o$165b2o$128bob2o46bob2o$128bo2bo
46bo2bo$128b3o47b3o6$146b3o$145bo2bo$145b2o2bo$147b3o29b3o$180bo$145b
2o33b2o$146bo$145b3o29b3o$177bo2b2o$178bo2bo$178b3o6$96b3o47b3o$95bo2b
o46bo2bo$95b2obo46b2obo$160b2o$74b3o47b3o31b2obo12b3o$74bo49bo33bo2bo
3bo8bo$74bobo47bobo31bobo2b3o8bobo$75b2o48b2o32b2o2bobo9b2o!
1,2,3,4,6:

Code: Select all

x = 180, y = 32, rule = B2n3aeijr4jk5cey6cn7e/S23-ak4einrtyz5n6cn7
2o38b2o38b2o38b2o38b2o$obo37bobo37bobo37bobo37bobo16bo$ob2o36bob2o36bo
b2o36bob2o36bob2o$b2o38b2o38b2o38b2o38b2o14bo$bo39bo39bo39bo39bo12b4ob
o$174bo2b2o$149bo25b3o$148b3o25bo$147b5o$148bo$147b2o$148bo$148b2o$
136b3o$134b2o2bo$109bo25b3o$108b3o25bo$107bo2b2o$107b3o$96b2o78b2o$97b
o79bo$97b2o78b2o$97bo79bo$94b5o75b5o$69bo25b3o51bo25b3o$68b3o25bo51b3o
25bo$67b2o2bo75b2o2bo$44bo21bob4o52bo21bob4o12bo$43b2o23bo54b2o23bo14b
2o$42b2obo76b2obo36b2obo$43bobo20bo56bobo20bo16bobo$44b2o78b2o38b2o!

Code: Select all

x = 230, y = 39, rule = B2n3aeijr4jkz5ey6cn7e8/S23-aky4einrtyz5en6cn7
225bo$bo49bo49bo49bo49bo22b4o$2b3o47b3o47b3o47b3o47b3o19bo3bo$o3bo45bo
3bo45bo3bo45bo3bo45bo3bo20bo2bo$2bobo47bobo47bobo47bobo47bobo18b3o2bo$
2b2o48b2o48b2o48b2o48b2o19b2ob2o3$177bo$179bo$175b2obo$175bo2bo$176b3o
2$127b2o65b3o30b2o$126bob2o63bo2bo29bob2o$125b2ob2o63bo3bo27b2ob2o$
126bob2o64b4o28bob2o$128bo67bo31bo2$126bo67bo31bo$125b4o64b2obo28b4o$
125bo3bo63b2ob2o27bo3bo$126bo2bo63b2obo29bo2bo$126b3o65b2o30b3o2$144b
3o$144bo2bo$144bob2o$143bo$145bo3$69b2o24b2ob2o69b2o24b2ob2o19b2o$68bo
bo23bo2b3o68bobo23bo2b3o18bobo$68bo3bo21bo2bo70bo3bo21bo2bo20bo3bo$68b
3o23bo3bo69b3o23bo3bo19b3o$71bo23b4o72bo23b4o22bo$97bo99bo!

Code: Select all

x = 304, y = 54, rule = B2n3aijr4ejk5ceky6cin7e/S23-aky4einrtyz5ekn6cn7c
224b2ob2o$224bo2bo$225b3o3$o59bo59bo59bo69bo36bob2o$3o57b3o57b3o57b3o
67b3o34bo3bo$2bo59bo59bo59bo69bo35b2obo$obo57bobo57bobo57bobo67bobo34b
2ob2o$2o58b2o58b2o58b2o68b2o35bobo$288bo5$168b2o128b2o$166bo129bo$162b
obo127bobo$164b2ob2o125b2ob2o$164bo3bo125bo3bo$164bo2bo126bo2bo$165b3o
127b3o$166bo129bo9$257bo$256b3o$256bo2bo$255bo3bo$255b2ob2o$259bobo$
257bo$254b2o5$135bo129bo$112b2o20bobo95b2o30bobo35b2o$111bobo18b2ob2o
94bobo28b2ob2o34bobo$111bo20bob2o95bo30bob2o35bo$111b3o18bo3bo94b3o28b
o3bo34b3o$113bo19b2obo96bo29b2obo36bo3$186b3o$186bo2bo$185b2ob2o!
1,2,3,4,6,7:

Code: Select all

x = 231, y = 37, rule = B2n3aeijr4jkz5eky6cin7e/S23-acy4-ajkqw5ekn6cen7
180bo$177b2ob4o29b3o4bo$2b2o38b2o38b2o38b2o38b2o11b6o3bo17b2o11bobobob
o$bo2bo36bo2bo36bo2bo36bo2bo36bo2bo11bo5b2obo15bo2bo7bob3o5bo$bo2bo36b
o2bo36bo2bo36bo2bo36bo2bo12bo2bo4bo15bo2bo6b3ob2o5bo$2ob2o35b2ob2o35b
2ob2o35b2ob2o35b2ob2o10b4ob2o2b2o14b2ob2o7b2o2bo4b2o$b2o38b2o38b2o38b
2o22bo15b2o11b2obo5bo17b2o14bob2o$144b4o33b3o33b3o$144bo3bo32bo$145bo
2bo$145b3o2$198bo25b5o$197b3o24bo2b2o$105b2o78b2o9b2ob2o24b3o$104b3obo
49bo25b3obo6b2ob2o26bo$104bobo2bo47b3o24bobo2bo9b2o$106b2obo46b2obo26b
2obo8bo2b2o$105b2obo47bob2o25b2obo9b4o$105bob2o46bob2o26bob2o10b2o$
105b3o47bo2bobo24b3o39bo$106bo49bob3o25bo$158b2o67bo$227bo$226b3o$224b
o3b2o$117b3o102b2ob2o2bo$116bo2bo102b3o2bob2o$83bo32bo3bo42bo61bob2obo
$81b3o33b4o40b3o32b2o26bob5o$62b2o17bo5bob2o28bo22b2o17bo5bob2o11b2o
12bo7b2o6b2obo9bobobo$60b2ob2o14b2o2b2ob4o50b2ob2o14b2o2b2ob4o10b2ob2o
14b2o3b3o4bo3b3o6b5o$60bo2bo15bo4bo2bo52bo2bo15bo4bo2bo12bo2bo15bo5bo
5b2o2bobo7b3o$60bo2bo15bob2o5bo51bo2bo15bob2o5bo11bo2bo10bo10b2o4bob2o
11bo$61b2o17bo3b6o51b2o17bo3b6o11b2o14b2ob2o10b2o$81b4ob2o73b4ob2o28b
2ob3o2b3o$84bo79bo39b3o!
Then there's this 1,2,4, but it can actually fit 9, which I think is a new record:

Code: Select all

x = 174, y = 38, rule = B2n3aijr4jkz5c6cn7e/S23-ac4einrtyz5n6cn7
163b2o$3o47b3o47b3o34bo12b3o8b5o2bo$2bo49bo49bo33b3o13bo8bob2o2b2o$b2o
48b2o48b2o33b2obo11b2o13bobo$139b2o23bob2o$138b2o22bob2o$136bo25bob2o$
136b2o$136b2o4$167bobo$164b4obobo$164bo3bob2o$121bo44bo3bo$119bobo44b
2ob2o$119b3o15bo29b3o$136b3o28b3o$135b2o2bo$86b3o46bo3bo$86bobo46bob2o
$86bo48b2o33b2o2$170b3o$168b2o2bo$168bobo$168b3obo$138b3o28b3o$137bo2b
o29bo$140bo$138b3o19b3o$136b2o2b2o17b3obo$149bo8b2o$55b2o48b2o32b3o6bo
2b2o6b2o$55bo49bo34bo7bob3o$55b3o47b3o40b2ob2o$150b2o!
And an odd 1,2,5 for p260. Even though 4 would work in theory, it doesn't:

Code: Select all

x = 152, y = 34, rule = B2n3aeijr4ejk5ek6cin7e/S2-c3-a4einrtyz5ekn6cn7c8
142b2obo$o39bo39bo27bob2o8bo$2o38b2o38b2o26b3o9b2o21bo2b2o$b2o38b2o38b
2o26bo11b2o5b2o4b2o11b2o$2o38b2o38b2o38b2o6b3o3b2o10b2o$136b3o4b4o$
128b3o6b2o4b2o$129bo6b2o$136bo3$146bo2bo$146b2o$146b2o$146b3o$147bo$
147b4o$148bobo2$148bo$148bob2o$148bo2bo$148b3o2$121b3o$121bo2bo$120bob
o18bo$120b4o$121b3o14b4o$70b2o38b2o25bo2bo$69b2o11bo26b2o25b2o4bo$70b
2o9b3o26b2o25b2obo$71bo8b2obo27bo27b2o2bo$143bo!
One of the largest loops I've seen (but can't fit many):

Code: Select all

x = 8, y = 4, rule = B2n3aijr4ejkz5ck6cn7e/S23-acky4einrtyz5n6-ak78
b2o2b3o$3o4bo$2o3bobo$4b3o!

EDIT:
This loop fits 10:

Code: Select all

x = 83, y = 103, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c
38b3o$38b2o$37b3o3b2o$37b2o5bo$44b2o$46b2o$45b4o$45b2obo$44bo3b3o$44b
2ob2obo$47b2ob2o$46b2o2bo$45bo3b2o$44b2o$43b2obo$44b2o12bo$6b3o24b2o
10bobo7bob3o$7bobo23bobo18bo3bob2o$9bo16b3o2bo3bo22bo2bo$8b2o15bo5bo2b
2o25bo$6b2o17b2o2bob3o22b3obo$7bo18bo3b2o26bo$76bo$75b2o$75bo$72b5o2$
71bo$70bob2o$70b3o$71bo2b2o$72bo2bo$72b3o14$6b3o$6bo2bo61bo8b2o$5bo3bo
61bo7bo2bo$5b4o70bo2bo$6b2o64bob2o2b2ob2o$bo71b4o2b2o$obo2b2o$o3bobo
64bo$2o5bo62bo3b2o$3b2o2b2o64b4o$3b2o2b2o66bo$71bo2bo$72b3o14$6b3o$5bo
2bo$9bo$4bo3b2o$8bo$6bob2o63b2o$5b2o62b2o3bo$6b2o65b3o$6bo62b3ob3o$5bo
25b3o35b2o3bo$5b3o14b2o7b3o15b2ob3o16b2o$21bo2bo7bo14b2ob3ob2o15bobo$
21bo2bo6bo15bo3b3o18b3o$21b2ob2o6bo14bo$23b2o5b2o2bo13bo$30b2obobo$32b
5o$31b2obobo$32bob4o$30b2o2bobo$30bo4b2o$31b2ob2o$32b3o$33bo3$35b2o$
36bo3b3o$36b2o4bo$41bo2b2o$41b2obo!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 4:53 pm
by Macbi
AforAmpere wrote:This loop fits 10:

Code: Select all

x = 83, y = 103, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c
38b3o$38b2o$37b3o3b2o$37b2o5bo$44b2o$46b2o$45b4o$45b2obo$44bo3b3o$44b
2ob2obo$47b2ob2o$46b2o2bo$45bo3b2o$44b2o$43b2obo$44b2o12bo$6b3o24b2o
10bobo7bob3o$7bobo23bobo18bo3bob2o$9bo16b3o2bo3bo22bo2bo$8b2o15bo5bo2b
2o25bo$6b2o17b2o2bob3o22b3obo$7bo18bo3b2o26bo$76bo$75b2o$75bo$72b5o2$
71bo$70bob2o$70b3o$71bo2b2o$72bo2bo$72b3o14$6b3o$6bo2bo61bo8b2o$5bo3bo
61bo7bo2bo$5b4o70bo2bo$6b2o64bob2o2b2ob2o$bo71b4o2b2o$obo2b2o$o3bobo
64bo$2o5bo62bo3b2o$3b2o2b2o64b4o$3b2o2b2o66bo$71bo2bo$72b3o14$6b3o$5bo
2bo$9bo$4bo3b2o$8bo$6bob2o63b2o$5b2o62b2o3bo$6b2o65b3o$6bo62b3ob3o$5bo
25b3o35b2o3bo$5b3o14b2o7b3o15b2ob3o16b2o$21bo2bo7bo14b2ob3ob2o15bobo$
21bo2bo6bo15bo3b3o18b3o$21b2ob2o6bo14bo$23b2o5b2o2bo13bo$30b2obobo$32b
5o$31b2obobo$32bob4o$30b2o2bobo$30bo4b2o$31b2ob2o$32b3o$33bo3$35b2o$
36bo3b3o$36b2o4bo$41bo2b2o$41b2obo!
Amazing! How did you find it?

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 4:56 pm
by AforAmpere
Macbi wrote:Amazing! How did you find it?
I used wildmyron's new version of searchRule-matchPatt2.py on a different RRO I had found. This popped up as one of the results.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 5:07 pm
by dvgrn
AforAmpere wrote:I used wildmyron's new version of searchRule-matchPatt2.py on a different RRO I had found. This popped up as one of the results.
I like the clean version that you posted on Discord a little better.

Code: Select all

x = 85, y = 113, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
38b3o$38bobo$37bob2o$37b3o2bo$37bo2b3o$41bo2$41b2o$35b2ob2ob2o$35bobob
o$34bob5o7bo$34b4o9b3o$36bo9bo2b2o$45b4o$45bo5bo$45b2o3bo$49bo2bo$46b
2o3bo$45b3o2b2o$44bo2bo$43b2ob3o10bo$7b3o34bo2b2o12bo$9bo24b2o9b3o11bo
2bo$10b2o15b2o5bob2o8bo11b2o3bo$11bo15b2o5bo2bo25bo$7b5o14bo10bo20b2ob
3o$25b2o5b3obo21b4o$32b3o23b3o3$74bo$73b2ob2o$77bo$71b4o$71bo$70b2o$
71bobob2o$71bo4bo$72bo2bo$73b3o12$7b3o$6bo2bo$6bo3bo70b2o$5b2o3bo69bo
2b2o$5b2ob3o68b2o3bo$8b2o65bobobo4bo$b2o3bobo65b2obob5o$obo3b3o68bo2b
2o$o8bo63bo$3o5b2o63b3o$9bo65bob2o$73bo3bo$72b2o3bo$73bo2bo$73b3o12$7b
3o$7bo2bo$7bo2bo$10b2o$9b2o$6b2obo$5b6o$6bo68bo$6bobo63bo$6b3o63bo2bo$
5b2o43bo2b2o20b2o$6b2o15b2o8b2o13b3o2b4o$6b2o13b2o2bo8bo12bo3bo4bo16bo
$21bo3b2o20bo4b4o16bobo$21bo4bo6bo13b3o3bo19b3o$22b5o5b2obo$24b2o8b4o$
34bo2bo$33b3o$32b6o$31b2o2bo$31bo2bo$31b3o2b2o$32bo2b2o$33b3o$34bo$43b
o2bo$40b7o$40b2o5bo$40bo4bobo$46b2o$40b2o4bo$40b2o2b3o$41bo4bo$41bo3bo
$42b3o!
It's not quite clear to me if the one with the extra debris quite counts as an 8-fold reflectorless rotating oscillator, just because the individual rotating oscillators aren't entirely non-interacting. Two of the debris-spewing rotating oscillators together certainly count as a 4-fold RRO.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 6:15 pm
by Gamedziner
AforAmpere wrote: 1,2,4,5:

Code: Select all

x = 111, y = 25, rule = B2n3aeijr4jkz5c6cn7e/S23-ac4einrtyz5kn6cn7c
2o28b2o28b2o28b2o14b2o$obo27bobo27bobo27bobo13b3o$ob2o26bob2o26bob2o
26bob2o12bob2o$b2o28b2o28b2o28b2o13b3o$bo29bo29bo29bo15bo$77b3o$75b2o
2bo$76b3o$77bo4$87bo$86b3o20b2o$85b2obo18bo$88bobo12bob2o$57bo47bo2b2o
$56b3o26b2o2bobo12b3ob2o$55bo2b2o25b2o18b2obo$55b3o31bo16b3o$43bo29bo
33bo$42b2o28b2o20b2o$41b2obo26b2obo18b2o3bo$42bobo27bobo19b5o$43b2o28b
2o21bo!
5c/31 diagonal in that rule:

Code: Select all

x = 3, y = 3, rule = B2n3aeijr4jkz5c6cn7e/S23-ac4einrtyz5kn6cn7c
3o$2o$o!
AforAmpere wrote: 1,2,3,4,6:
(…)

Code: Select all

x = 304, y = 54, rule = B2n3aijr4ejk5ceky6cin7e/S23-aky4einrtyz5ekn6cn7c
224b2ob2o$224bo2bo$225b3o3$o59bo59bo59bo69bo36bob2o$3o57b3o57b3o57b3o
67b3o34bo3bo$2bo59bo59bo59bo69bo35b2obo$obo57bobo57bobo57bobo67bobo34b
2ob2o$2o58b2o58b2o58b2o68b2o35bobo$288bo5$168b2o128b2o$166bo129bo$162b
obo127bobo$164b2ob2o125b2ob2o$164bo3bo125bo3bo$164bo2bo126bo2bo$165b3o
127b3o$166bo129bo9$257bo$256b3o$256bo2bo$255bo3bo$255b2ob2o$259bobo$
257bo$254b2o5$135bo129bo$112b2o20bobo95b2o30bobo35b2o$111bobo18b2ob2o
94bobo28b2ob2o34bobo$111bo20bob2o95bo30bob2o35bo$111b3o18bo3bo94b3o28b
o3bo34b3o$113bo19b2obo96bo29b2obo36bo3$186b3o$186bo2bo$185b2ob2o!
18c/156 orthogonal in that rule:

Code: Select all

x = 108, y = 26, rule = B2n3aijr4ejk5ceky6cin7e/S23-aky4einrtyz5ekn6cn7c
54bo$56bo$51b6o$50b2o10bo$49b2o2b4o4b3o$48b3o5bo3bo2b2o$49bobobo6b4ob
o$28b2o20b2o13b2o16bo$27b4o20bo11b5o$26b2ob2o31b2ob2o14bo$27b2o2bo29b
4o18bo2b2o$29bo32b3o21b3o$5b2o56bo24b2o$4b3o78b4o$b2ob2o81bo16b3o$5o98b
2ob2o$bo4bo96bobobo$2b2ob2o97b3o4$103b3o$103b4o$104bo$104bo$104bo!
AforAmpere wrote:1,2,3,4,6,7:

Code: Select all

x = 231, y = 37, rule = B2n3aeijr4jkz5eky6cin7e/S23-acy4-ajkqw5ekn6cen7
180bo$177b2ob4o29b3o4bo$2b2o38b2o38b2o38b2o38b2o11b6o3bo17b2o11bobobob
o$bo2bo36bo2bo36bo2bo36bo2bo36bo2bo11bo5b2obo15bo2bo7bob3o5bo$bo2bo36b
o2bo36bo2bo36bo2bo36bo2bo12bo2bo4bo15bo2bo6b3ob2o5bo$2ob2o35b2ob2o35b
2ob2o35b2ob2o35b2ob2o10b4ob2o2b2o14b2ob2o7b2o2bo4b2o$b2o38b2o38b2o38b
2o22bo15b2o11b2obo5bo17b2o14bob2o$144b4o33b3o33b3o$144bo3bo32bo$145bo
2bo$145b3o2$198bo25b5o$197b3o24bo2b2o$105b2o78b2o9b2ob2o24b3o$104b3obo
49bo25b3obo6b2ob2o26bo$104bobo2bo47b3o24bobo2bo9b2o$106b2obo46b2obo26b
2obo8bo2b2o$105b2obo47bob2o25b2obo9b4o$105bob2o46bob2o26bob2o10b2o$
105b3o47bo2bobo24b3o39bo$106bo49bob3o25bo$158b2o67bo$227bo$226b3o$224b
o3b2o$117b3o102b2ob2o2bo$116bo2bo102b3o2bob2o$83bo32bo3bo42bo61bob2obo
$81b3o33b4o40b3o32b2o26bob5o$62b2o17bo5bob2o28bo22b2o17bo5bob2o11b2o
12bo7b2o6b2obo9bobobo$60b2ob2o14b2o2b2ob4o50b2ob2o14b2o2b2ob4o10b2ob2o
14b2o3b3o4bo3b3o6b5o$60bo2bo15bo4bo2bo52bo2bo15bo4bo2bo12bo2bo15bo5bo
5b2o2bobo7b3o$60bo2bo15bob2o5bo51bo2bo15bob2o5bo11bo2bo10bo10b2o4bob2o
11bo$61b2o17bo3b6o51b2o17bo3b6o11b2o14b2ob2o10b2o$81b4ob2o73b4ob2o28b
2ob3o2b3o$84bo79bo39b3o!
2c/8 orthogonal in that rule:

Code: Select all

x = 5, y = 6, rule = B2n3aeijr4jkz5eky6cin7e/S23-acy4-ajkqw5ekn6cen7
o3bo2$b3o$bobo$b3o$2bo!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 6:38 pm
by LaundryPizza03
dvgrn wrote:
AforAmpere wrote:I used wildmyron's new version of searchRule-matchPatt2.py on a different RRO I had found. This popped up as one of the results.
I like the clean version that you posted on Discord a little better.

Code: Select all

x = 85, y = 113, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
38b3o$38bobo$37bob2o$37b3o2bo$37bo2b3o$41bo2$41b2o$35b2ob2ob2o$35bobob
o$34bob5o7bo$34b4o9b3o$36bo9bo2b2o$45b4o$45bo5bo$45b2o3bo$49bo2bo$46b
2o3bo$45b3o2b2o$44bo2bo$43b2ob3o10bo$7b3o34bo2b2o12bo$9bo24b2o9b3o11bo
2bo$10b2o15b2o5bob2o8bo11b2o3bo$11bo15b2o5bo2bo25bo$7b5o14bo10bo20b2ob
3o$25b2o5b3obo21b4o$32b3o23b3o3$74bo$73b2ob2o$77bo$71b4o$71bo$70b2o$
71bobob2o$71bo4bo$72bo2bo$73b3o12$7b3o$6bo2bo$6bo3bo70b2o$5b2o3bo69bo
2b2o$5b2ob3o68b2o3bo$8b2o65bobobo4bo$b2o3bobo65b2obob5o$obo3b3o68bo2b
2o$o8bo63bo$3o5b2o63b3o$9bo65bob2o$73bo3bo$72b2o3bo$73bo2bo$73b3o12$7b
3o$7bo2bo$7bo2bo$10b2o$9b2o$6b2obo$5b6o$6bo68bo$6bobo63bo$6b3o63bo2bo$
5b2o43bo2b2o20b2o$6b2o15b2o8b2o13b3o2b4o$6b2o13b2o2bo8bo12bo3bo4bo16bo
$21bo3b2o20bo4b4o16bobo$21bo4bo6bo13b3o3bo19b3o$22b5o5b2obo$24b2o8b4o$
34bo2bo$33b3o$32b6o$31b2o2bo$31bo2bo$31b3o2b2o$32bo2b2o$33b3o$34bo$43b
o2bo$40b7o$40b2o5bo$40bo4bobo$46b2o$40b2o4bo$40b2o2b3o$41bo4bo$41bo3bo
$42b3o!
It's not quite clear to me if the one with the extra debris quite counts as an 8-fold reflectorless rotating oscillator, just because the individual rotating oscillators aren't entirely non-interacting. Two of the debris-spewing rotating oscillators together certainly count as a 4-fold RRO.
The period is 528 = 2^4 * 3 * 11, so it is 1/2/3/4/6/8-fold.

Code: Select all

x = 725, y = 99, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
551b3o$550bo2bo$553b2o$551bo2b2o$554bo$550bo$550bo4$561bo$560b3o120b3o
$560bob2o118bo3bo$3o127b3o127b3o127b3o127b3o39b2o88b3o32bo$2bo129bo
129bo129bo129bo42bo88bo26b2o2bo2bo$3b2o128b2o128b2o128b2o61bo3bo62b2o
34bo2bob2ob2o86b2o25bo6bo28bo3bo$4bo129bo129bo129bo61bo3bo63bo36b2o2b
2obo87bo19b2o11bo28bo3bo$5o125b5o125b5o125b5o61bo2b2o59b5o36bobobob2o
83b5o23bob3o3b2o28bo2b2o$456bobo103b2ob2o151bobo$456b3o104b3o152b3o13$
325b2o258b2o$326bo259bo$327b2o258b2o$326b2o258b2o$325bobo257bobo$325b
2o258b2o$326bobo257bobo$325bo2bo256bo2bo130bo$325bo2bo256bo2bo130bo$
326b3o257b3o2$718bo$721bo$718bob2obo$652b3o63bo5bo$651bo2bo63bo5bo$
650bo70bo2bo$649bo73bo$648bo2bo70bo$648bo5bo63bo2bo$648bo5bo63b3o$649b
ob2obo$651bo$654bo2$520b3o$520bo2bo129bo$520bo2bo129bo$520bobo$522b2o$
521bobo$521b2o$520b2o$522bo$522b2o13$283b3o104b3o150b3o106b3o$282b2ob
2o103bobo149b2ob2o105bobo$194b5o81b2obobobo100b2o2bo61b5o81b2obobobo
36b5o61b2o2bo28b2o3b3obo23b5o$194bo85bob2o2b2o100bo3bo61bo85bob2o2b2o
36bo65bo3bo28bo11b2o19bo$194b2o84b2ob2obo2bo98bo3bo61b2o84b2ob2obo2bo
34b2o64bo3bo28bo6bo25b2o$196bo86bo172bo86bo42bo97bo2bo2b2o26bo$196b3o
86b2o169b3o86b2o39b3o96bo32b3o$285b2obo256b2obo137bo3bo$286b3o257b3o
138b3o$287bo259bo4$298bo259bo$298bo259bo$294bo259bo$293b2o2bo255b2o2bo
$294b2o258b2o$295bo2bo256bo2bo$295b3o257b3o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 7:05 pm
by Gamedziner
dvgrn wrote: I like the clean version that you posted on Discord a little better.

Code: Select all

x = 85, y = 113, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
38b3o$38bobo$37bob2o$37b3o2bo$37bo2b3o$41bo2$41b2o$35b2ob2ob2o$35bobob
o$34bob5o7bo$34b4o9b3o$36bo9bo2b2o$45b4o$45bo5bo$45b2o3bo$49bo2bo$46b
2o3bo$45b3o2b2o$44bo2bo$43b2ob3o10bo$7b3o34bo2b2o12bo$9bo24b2o9b3o11bo
2bo$10b2o15b2o5bob2o8bo11b2o3bo$11bo15b2o5bo2bo25bo$7b5o14bo10bo20b2ob
3o$25b2o5b3obo21b4o$32b3o23b3o3$74bo$73b2ob2o$77bo$71b4o$71bo$70b2o$
71bobob2o$71bo4bo$72bo2bo$73b3o12$7b3o$6bo2bo$6bo3bo70b2o$5b2o3bo69bo
2b2o$5b2ob3o68b2o3bo$8b2o65bobobo4bo$b2o3bobo65b2obob5o$obo3b3o68bo2b
2o$o8bo63bo$3o5b2o63b3o$9bo65bob2o$73bo3bo$72b2o3bo$73bo2bo$73b3o12$7b
3o$7bo2bo$7bo2bo$10b2o$9b2o$6b2obo$5b6o$6bo68bo$6bobo63bo$6b3o63bo2bo$
5b2o43bo2b2o20b2o$6b2o15b2o8b2o13b3o2b4o$6b2o13b2o2bo8bo12bo3bo4bo16bo
$21bo3b2o20bo4b4o16bobo$21bo4bo6bo13b3o3bo19b3o$22b5o5b2obo$24b2o8b4o$
34bo2bo$33b3o$32b6o$31b2o2bo$31bo2bo$31b3o2b2o$32bo2b2o$33b3o$34bo$43b
o2bo$40b7o$40b2o5bo$40bo4bobo$46b2o$40b2o4bo$40b2o2b3o$41bo4bo$41bo3bo
$42b3o!
Same rule, 2c/15 diagonal and (Zigzagging!) 21c/84 diagonal:

Code: Select all

x = 21, y = 5, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
4bo$3b2o14b2o$2bobo12bob2o$bobo13bobo$3o14b3o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 25th, 2019, 8:41 pm
by AforAmpere
Rectangular RRO:

Code: Select all

x = 136, y = 17, rule = B2n3aijkr4jkz5ery6n7c8/S2-c3-acy4einrtz5ak6ace7
2b2o48b2o58b2o20bo$bo2bo46bo2bo56bo2bo20bo$bo2b2o45bo2b2o55bo2b2o15bo
2bo$o2b2o45bo2b2o55bo2b2o15b2o2bo$4o46b4o56b4o17bob2o2$133b3o$133b3o$
128b2o5bo$130b3o$104b2obo24bo$59b4o41bo25bo2bo$58b2o2bo40bo3bo2bo18b3o
b2o$57b2o2bo40b2o2bo2bo23bo$58bo2bo41b3o26b2o$59b2o44b2o$105b2o!
Are any others known?

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 26th, 2019, 7:54 am
by Moosey
AforAmpere wrote:Rectangular RRO:

Code: Select all

x = 136, y = 17, rule = B2n3aijkr4jkz5ery6n7c8/S2-c3-acy4einrtz5ak6ace7
2b2o48b2o58b2o20bo$bo2bo46bo2bo56bo2bo20bo$bo2b2o45bo2b2o55bo2b2o15bo
2bo$o2b2o45bo2b2o55bo2b2o15b2o2bo$4o46b4o56b4o17bob2o2$133b3o$133b3o$
128b2o5bo$130b3o$104b2obo24bo$59b4o41bo25bo2bo$58b2o2bo40bo3bo2bo18b3o
b2o$57b2o2bo40b2o2bo2bo23bo$58bo2bo41b3o26b2o$59b2o44b2o$105b2o!
Are any others known?
I remember there was an RFO in crylife but it wasn’t as good.

Code: Select all

x = 8, y = 5, rule = B2n3-cry4kn6i7c/S23-a4i6c
2o$obo4bo$2bobob2o$ob2o2bo$2o4bo!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 27th, 2019, 5:32 pm
by AforAmpere
This loop fits 12!

Code: Select all

x = 80, y = 68, rule = B3aeijr4j5ckr6c7c/S2-i3-aky4einrtyz5acejr6ci78
41b3o14bo$40bobobo12b3ob2o15b2o$27b2o11b4ob2o9b2ob3obo15bo$28b2o16bo
16b2o11bo$27b2o10b2o3bobo15b2o12b2o$27bo9b4o3b2o16bo$38b2o$15bo$14b3o
42b2o$13bo2b2o41b2o$13b2o43b2o3b3o$14bo3bo40b2o4bo$14b3obo41b2ob2o$17b
o42b2o2bo$17bo43b3o$15bobo44bo$15b4o$16bo2bo8$14b3o$14bo2bo$13bo2b2o
42bo$12bobo44b3o$12bo46b3ob2o$12bob2o48bo$13b3o44bo2bo$61b3o4$59b2obo$
59b4o5$15bo$14b3o42b2o$14bob2o41b2o3bo$13b2o43b2o2b2o$12b2o10bob3o30b
6o$13b2o9bo3bo9bo21b2o$2b3o8b2o4b3o4b5o5b5o13b3o3b2obo$2o16b2obo5b4o4b
o3b2o12b2obo4b3o$o4b2o10b2o4bobobobo5bo6b2o8b2o8bo$o4bo12bobo4bo2b2o5b
3o4b3o8bobo$bo17b2o3b2o17b2o9b2o$2b3ob2o13b2o20bo$4b3o36bo$41bo7$60b2o
$60b2o$63bo$61b4o$61b4o$62bo!
EDIT, 1,2,4,7,8:

Code: Select all

x = 219, y = 38, rule = B3aeijr4j5ck6cin7c/S2-i3-aky4einrtz5cjr6aci7c
162b2o49bo$2o48b2o48b2o48b2o9b3o36b2o10bobo$obo47bobo47bobo47bobo9bo3b
3o18b3o10bobo10bob2o$2bo49bo49bo49bo15bo18bo2bo11bo13bo$3o47b3o47b3o
34b3o10b3o10b2o3bo17bo2b2o9b3o11bobo$137bo2bo23b4o17bobo26b2o$136bo28b
o20bo$136b3o$141bo$141b2o$139bobo$139b2o$139b2o3$114bob2o96bob2o$87b3o
24bo2bo44b3obo20b3o24bo2bo$86bo2bo24b3o45b3ob2obo16bo2bo24b3o$86b2obo
72b2o22b2obo$163b2o3bo$137b3o24bo2bo$136bo2bo24b3o$136bo3bo$135b2o2b2o
$136b2obo$137bob2o$136b2o$161bo2bo52bo$129b2obo11b2o15bob2o23b2o26bobo
$51b3o47b3o24bob3o10bobo13b2o2bo23bobo11b3o9b2o2bo$51bo49bo25b2obo12bo
15bo27bo13bo11bo2bo$51bobo47bobo24bobo12b2ob2o11b3o5bo19b2obo10bobo10b
3o$52b2o48b2o25b2o14bo15bo5b2o20bobo10b2o$146b2o20bo21bo$163bob2obo$
163bo3bo$163bo2bo$164b3o!
EDIT, 15!

Code: Select all

x = 70, y = 70, rule = B3aeijr4jz5ckr6cin7c8/S2-i3-ak4ceinrtz5cej6ce7c8
56b3o$55bo2bo$54bo4bo$58b2o$42bo2bo7bob2o$14bo15b3o9bob5o10b2o$15b3o
12bob2o7b3o3bob2o8b2o$17bo15b2o7b3ob2o2bo5b2obo3bo$4bo10bobo14b2o10bo
5bo9b4o$3b3o9b2o10b2o17bo2bo11bo$3bob2o20bobo13b2obo$2b2ob3o20b2o14b2o
$7bo$b2ob2o$bo4bo6$59bobo$60b2ob2o$60b2o2bo$61b3o$62bo$3b3o$2bo2bo$2b
2obo$3bo$bobo$bobo$2bo$b2o2$3b2o$60bo$60bo$59b2o$60bo2bo$60bo2bo$61b3o
$4bo$3b3o$2b2obo$2bo$2b3o$6bo52bo$5b3o49b2obo$58b2ob3o$59bo2b2o$63bo$
62bo$64bo$59b2o2b2o$59b3obo$60b2obo$61b3o$62bo6bo$3b3o14b3o45b2o$2bo2b
o13bo3bo44bo$5bo13bobo$19bobo46bo$b2obo7b2o17b3o34b2o$2obo6b3o9bo5bobo
b2o10b2o14bobo6bo$b2o6bo3bo7bo4b2o14b2obo13b4o$2b3o4bo15b2o3bo11bo2bo
12b2o$2b3o4b5o5b2o5bobobo11bo5b3o8bobo$13b2o4b2o6b2obo12bo5b2o9b2o$29b
2o15b3o$47bo!
EDIT 2, 1,2,4,7,8,11:

Code: Select all

x = 533, y = 87, rule = B3-cnqy4j5ckr6cn8/S2-i3-ak4ceinrtz5cj6ci7c8
503bo$396b2o79bo24b3o$250b2obo57b2ob2o80bob2o30b2obo41b5o20b3obo2bo$3o
87b3o87b3o68bobo16b3o38bo4bo43b3o26b2o5bobobo30bobo16b3o27bo20b2o5bo$
2bo89bo89bo68b3o18bo38bobo2bo45bo25b3o5bo3b2o29b3o18bo27bo27bo17b2o$3o
87b3o87b3o87b3o39b2ob2o43b3o25bo7b5o49b3o25b3o19b3o3b3o18bo$o89bo89bo
89bo39b2o2bo45bo30bo3b2ob2o50bo$311b3o77bo71b3o55bo$466bo53b4o$466bo
53bo3bo$466bo54bo2bo$521b3o$344bo$340b2obo$340bo2bo$341b3o10$451b3o$
451bobo$450b2obo$453bobo$453bobo$431b2o16b2ob3o63b2ob2o$432b2o15bo3bo
64b2ob2o$432b2o87bo$429b2o91bo$451b2o67bo$362bo89b2o66b2o$361b3o86b3o
68bo$360bo2b2o65bo19bo69b2obo$360b2ob2o65b6o84bo2bo$359bo3bo67bo3bo85b
3o$359b6o65b2ob2o$271b3o90bo65b2o2bo$271bo2bo156b3o$271bo160bo$270b6o$
273bob2o87b2o$274b3o84b2o$273bobo85b2o$274b2o86b2o$274bo251bo$525b3o$
525bo2bo$523bobob2o$341b4o106b3o68bobob5o$342b2obo105bo2bo67b2ob3o3bo$
345bo104bo74bob2o2b2o$342b2obo104b2ob3o68b2o2bob2o$344bo108b3o68b2o2bo
$340bo2bo110bo67b5o2bo$341b3o179bo3b2o$521bobo$520b3o$520bo$521bo$520b
4o$520bo2bo$521bobo$521b3o3$281b2o$281b3ob2o38b2o76bo51bo55b2o$164bo
89bo23bo4b5o37b3o67b2ob2o3bo30bo19b4o24b2o26bo$162b3o87b3o22bobo5b2o
33b3o3bo67b5o7bo25b3o18bo2bo23b2obo24b2ob2o$162bo18b3o68bo23b2obo3bobo
34bo40b3o29b2o3bo5b3o25bo19b2o7bo18bo27bo$162b3o16bobo68b3o22b2o4b4o9b
2o22bo3b2o35bobo30bobobo5b2o26b3o18b2o5b3o17b6o22bobo$181bob2o93bo5bob
o10bo23b4o36bob2o30b2obo55b2ob2o2b4o17bobo24b2o$294bo3b2o23bo73b2o57bo
2bo4bo$295bo2b2o157b2o$287bo7bo2b2o$295b3o2$287bo$289b2o$289bo$290b3o$
290b3o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: June 27th, 2019, 11:51 pm
by LaundryPizza03
AforAmpere wrote:This loop fits 12!

Code: Select all

x = 80, y = 68, rule = B3aeijr4j5ckr6c7c/S2-i3-aky4einrtyz5acejr6ci78
41b3o14bo$40bobobo12b3ob2o15b2o$27b2o11b4ob2o9b2ob3obo15bo$28b2o16bo
16b2o11bo$27b2o10b2o3bobo15b2o12b2o$27bo9b4o3b2o16bo$38b2o$15bo$14b3o
42b2o$13bo2b2o41b2o$13b2o43b2o3b3o$14bo3bo40b2o4bo$14b3obo41b2ob2o$17b
o42b2o2bo$17bo43b3o$15bobo44bo$15b4o$16bo2bo8$14b3o$14bo2bo$13bo2b2o
42bo$12bobo44b3o$12bo46b3ob2o$12bob2o48bo$13b3o44bo2bo$61b3o4$59b2obo$
59b4o5$15bo$14b3o42b2o$14bob2o41b2o3bo$13b2o43b2o2b2o$12b2o10bob3o30b
6o$13b2o9bo3bo9bo21b2o$2b3o8b2o4b3o4b5o5b5o13b3o3b2obo$2o16b2obo5b4o4b
o3b2o12b2obo4b3o$o4b2o10b2o4bobobobo5bo6b2o8b2o8bo$o4bo12bobo4bo2b2o5b
3o4b3o8bobo$bo17b2o3b2o17b2o9b2o$2b3ob2o13b2o20bo$4b3o36bo$41bo7$60b2o
$60b2o$63bo$61b4o$61b4o$62bo!
436 = 2^2 * 109, so despite fitting 12 copies of itself it is only a 1/2/4-fold.
AforAmpere wrote:EDIT, 15!

Code: Select all

x = 70, y = 70, rule = B3aeijr4jz5ckr6cin7c8/S2-i3-ak4ceinrtz5cej6ce7c8
56b3o$55bo2bo$54bo4bo$58b2o$42bo2bo7bob2o$14bo15b3o9bob5o10b2o$15b3o
12bob2o7b3o3bob2o8b2o$17bo15b2o7b3ob2o2bo5b2obo3bo$4bo10bobo14b2o10bo
5bo9b4o$3b3o9b2o10b2o17bo2bo11bo$3bob2o20bobo13b2obo$2b2ob3o20b2o14b2o
$7bo$b2ob2o$bo4bo6$59bobo$60b2ob2o$60b2o2bo$61b3o$62bo$3b3o$2bo2bo$2b
2obo$3bo$bobo$bobo$2bo$b2o2$3b2o$60bo$60bo$59b2o$60bo2bo$60bo2bo$61b3o
$4bo$3b3o$2b2obo$2bo$2b3o$6bo52bo$5b3o49b2obo$58b2ob3o$59bo2b2o$63bo$
62bo$64bo$59b2o2b2o$59b3obo$60b2obo$61b3o$62bo6bo$3b3o14b3o45b2o$2bo2b
o13bo3bo44bo$5bo13bobo$19bobo46bo$b2obo7b2o17b3o34b2o$2obo6b3o9bo5bobo
b2o10b2o14bobo6bo$b2o6bo3bo7bo4b2o14b2obo13b4o$2b3o4bo15b2o3bo11bo2bo
12b2o$2b3o4b5o5b2o5bobobo11bo5b3o8bobo$13b2o4b2o6b2obo12bo5b2o9b2o$29b
2o15b3o$47bo!
This one has period 500 = 2^2 * 5^3, so it is 1/2/4/5/10-fold.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 2nd, 2019, 10:18 pm
by muzik
What are the lowest-order loopabilities we're missing?

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 3rd, 2019, 6:12 am
by calcyman
muzik wrote:What are the lowest-order loopabilities we're missing?
If I'm not mistaken, there exist RROs of all loopabilities up to 11 (or 12 if you include LtL) with the sole exception of loopability 9, and no known RROs of higher loopabilities.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 8th, 2019, 1:19 pm
by Hdjensofjfnen
RRO of order 1 and period 132, mod 33:

Code: Select all

x = 4, y = 4, rule = B34i/S2-c34-airy
obo$o2bo$o2bo$b2o!
EDIT: c/8 (EDIT: corrected, thanks to LaundryPizza) diagonal in that rule, but it's unrelated to RROs:

Code: Select all

x = 6, y = 4, rule = B34i/S2-c34-airy
3bo$b2obo$bo3bo$2ob2o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 8th, 2019, 1:42 pm
by AforAmpere
Here's loopability 9:

Code: Select all

x = 42, y = 42, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
8bo$7b3o$7bobo$6bo3bo6bo10b2o$5b6obo14b4o3b2o$5bob2o8b2o10b2o3bobo$3bo
b3o10bo11bo5bo$17b2o11b4ob2o$4b4o22bobobo$7bo23b3o$7b2o31b2o$7b2o25bo
3bo2bo$34bo4b2o$37b2o$36bob2o$35bo3bo$35bo3bo$36b3o$8bo$7b3o$6b2obo$5b
2o3bo$5b3ob3o20b4o$5b2o3bo20b2obo$31b2o$31b2o3bo$36b2o$37bo$5bo28bob2o
$4b3o27b3o$4bo2bo27bo$3b6o8b2o$3o4bo8bobo$2o6b3o5bo16bo$5bob2o7b2ob2o
7bobobo$5b2ob3o7bo8b2o2bo$7b2o10b2o5b6o$27b2o$34bo2$32bo3b2o$34b4o!

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 8th, 2019, 1:55 pm
by LaundryPizza03
Hdjensofjfnen wrote: EDIT: c/4 diagonal in that rule, but it's unrelated to RROs:

Code: Select all

x = 6, y = 4, rule = B34i/S2-c34-airy
3bo$b2obo$bo3bo$2ob2o!
Actually, that is c/8 diagonal.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 8th, 2019, 4:42 pm
by Hdjensofjfnen
LaundryPizza03 wrote:
Hdjensofjfnen wrote: EDIT: c/4 diagonal in that rule, but it's unrelated to RROs:

Code: Select all

x = 6, y = 4, rule = B34i/S2-c34-airy
3bo$b2obo$bo3bo$2ob2o!
Actually, that is c/8 diagonal.
Doh! I knew there was something wrong with my calculations.

Re: Reflectorless Rotating Oscillators (RRO)

Posted: July 9th, 2019, 7:45 am
by Gamedziner
AforAmpere wrote:Here's loopability 9:

Code: Select all

x = 42, y = 42, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
8bo$7b3o$7bobo$6bo3bo6bo10b2o$5b6obo14b4o3b2o$5bob2o8b2o10b2o3bobo$3bo
b3o10bo11bo5bo$17b2o11b4ob2o$4b4o22bobobo$7bo23b3o$7b2o31b2o$7b2o25bo
3bo2bo$34bo4b2o$37b2o$36bob2o$35bo3bo$35bo3bo$36b3o$8bo$7b3o$6b2obo$5b
2o3bo$5b3ob3o20b4o$5b2o3bo20b2obo$31b2o$31b2o3bo$36b2o$37bo$5bo28bob2o
$4b3o27b3o$4bo2bo27bo$3b6o8b2o$3o4bo8bobo$2o6b3o5bo16bo$5bob2o7b2ob2o
7bobobo$5b2ob3o7bo8b2o2bo$7b2o10b2o5b6o$27b2o$34bo2$32bo3b2o$34b4o!
Predecessor for an unusual 22c/44:

Code: Select all

x = 6, y = 4, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
2o2b2o$o3bo$bo2bo$b3o!