Thread for Your Accidental Discoveries that Aren't in CGOL

For discussion of other cellular automata.
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GUYTU6J
Posts: 726
Joined: August 5th, 2016, 10:27 am
Location: 中国

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by GUYTU6J » May 5th, 2017, 12:48 pm

Is this kind of random thing discovered before?

Code: Select all

x = 4985, y = 48, rule = B2i3i6i/S03i
4196bobo16$2282bobo3b2o7b2o2bo6bobo$2277bo2bobo4bobo3bo3b3o3b2obo5bo$
2279bo3b3o2b4o2bo5b3obob4obo$2275bobo3bobo2b2o3bo2b4o3b2o9bo$2279bo2b
2o6bobo2b4o2bo4bo2bobo$2276bob3o3bo4b5o2b2obob2o4bo3b3o$2278bob2o4b2ob
2o2bo6b2o8bo$2277bo3b3o12bobo3b5o$2278b2ob2o7bobo2bobobo6bo2bob3o$
2277bo3bob3obo5bob2ob5obo5bo2bo$2277b3ob3o5bo2b4o2bo2b3o2b2obo2b2o$
2202bo4b2obo4bob3obo2bob5obob2o2b3o2b5o3bo3bo2bobo2b3o2bo2bo2bobo2bo2b
o2bo3bobobo2b2o2bo2b6o5bo7b3obo3bobo2bobob4o2bobo2bo7bo2bobobo3bo2bob
2o4bo4bo6bobo2bo3bob2o4b2o3b3o3bo2b4o3b2obobob3obobobobo5bo8b6ob3ob2o$
2205bo4b2o2bob4o5bob2obobobobobobo2b2o2bo2bo5b2ob2o4b3o2b3ob4o2b5obo2b
2ob3o3b2obob2o3bob2o3bob3ob2obob2o3bo5bobo2bob2ob8obo2b4o3bob3o5b3o4bo
4b6o4b2o4bobobobo3bo6bo3bo3bo6bo2bo5bo3b2ob4ob4o4bobo3bobo$2201bo3b3ob
2ob2o2bo3b2o4bobo6b2ob3obobobobo3bo3bobo2bobo3bobob2o2b2o3bobo2b2o2b2o
2b3ob2o2bo6bo2b2ob2o2bob4ob3ob2ob2ob2obob3ob5ob2o2bo3bo5bo3bo3b6o3b2ob
2o3b5o2b6obob2obo2bob2o2b2o5bo2bo4bobo3b2o5bobob4obo2bo3b2obobo4bo2bo$
2201bobobob2obo3b2o2bo7b2obobo4b2obobo4bobob3o8bo3bo2bo2b3o4bob2obob2o
2b2o5bo2b6o2bo5bo2b2o3b3obob4obo5b2o3bob2obobo6bo4b2obo2bo3bo2bo5bo3bo
2bo2bo6bobo2bob2o6bob4o6b4o2b2ob3ob2o2bo16bobob2o3bo2b3o$2202bo3b6o2b
2obobobo4bo3b2o5bob3o7bo2b2obo6b2ob5obo4b4obobo8bob3o2b2obobo3b2obo3bo
bob3o5bo2bobo2b4o2bobobobobobobob2obo4bo3b2o3bobobo6bo3bob2o3bo6bo2b2o
b2o3b2o3bo5b3o2bob2o2bo4bo2bo4bob3o7bo3b2o3b2o2bo$2203bob2o5b4obob2o2b
2o4bo8bo4bo12b3o2bobobo2bobo2bo4b4ob4o2bo2bo3bobobo2bo5b3o3b3o4bobob3o
3bo3bo5b3o2bobobobo6b3obob2o3bobob2obo4bo3bo4b2ob3ob2ob2o2bo4b2o2b3obo
2bobo3bo3bo2b2o6b7o2b5o2bo4b2o2b3ob2o$2206b2obob3o3bo3bo4bo3bob3o2b3o
2bobo8b2o2bobo3bo3b2o4b3ob3o3bo6bo5b3o3b3obo9b3obo2bo5bo7b2obob3o2bob
3o4b2o2bobob3o2bo2b6obo2bobobo4b3obobo6bo4b2ob2o6bo2bobobob2obo2bo3bob
2o6b2o2b7obo2bob2o2b3obo$2201bo4b2obo3bob4o2bo3bo2bobo12bob3o5b3o7bobo
3bo2bo3bo4b2obob5obo2bo2b3o3bo3b2o2b2obobo4bo2bobo2bo3bo2b3o5bobo6bo2b
o3bobo5bo4b2ob3o4b3o5bo7b2obo3bo2bob2o2bo5bobo5b2o2bo2bob2o3bo3b5o5bo
2bo5bo2bo2bo$2206bobo4b3o2bobobo3b2o2bobo2b3obobobo3b3obobob2obob4obo
3b4ob3o2bo5bobo11bo4bo3bob3obo4b2ob2o3b2obo2bo3bo5bob2o2bo2bobo2b4o2b
3o2bo2bobo7b2o6bo7bo5b2o4bo3b2o2bo2bobobobobobo2b2o2bo2bo4bo2b2obo5bo
16bo$2202b2o6bo3bo3bob3o2b2ob4obo7bo2bo3b2o2bo2b3o2bobob2o2bo2bo3b2ob
2ob3obo2bobobo6bo6b2ob2o4bobob2o3b3obo8bo5bo2bobo3bo2bo2bob3ob3o2bo2b
2o7b2o2b4o3b3o2bo2b2o3bo4bo2bobo5b2obobo3b3o2bob2ob7o5bobob2o2bobo6bob
2o$2204bo4b2o2bob3o3bobo4b2obo3b5obo2bo5bo4bo2b2o2b6ob3o2b2ob2obo2b2o
5b2obobo3bo16bo2bo2b2o5bo2b2ob2o5b4obo2b6o9bo2b2obo4bob2o2b2o3b2o2bo6b
5o4b3ob4obo5b2obob2ob2o2bob4o3bo3bob2o2bo2bobo4bo8b2o$2201bo2bobo2bo3b
2obo2bo2b6o4b2ob2o5bo4bo5bo5b2o3bo2b3obobo2b2ob2ob2o5bobo6b5o3bo2bo4bo
b4obob3ob2ob2obob2o4bobob3obobo4b4o5bo3b3obo2b2ob3o2b2obo3b2o2bo4bo7bo
b5ob2o4b2obo2bobo2b5o4bo2bob2o2bo11bobo6b3o$2202bob2obobo4b3o2bo2bobob
2o4b3o3b2o6bo2b3obo4bobo6bo2b2o3bo4bo3b5o2b4o4bo2bo3b2ob2o2bobobo2b4o
3bo2bobo2bo4bo2b2o2bobob2obob2o5b4obo5b2o2bo2bo10bo2bo3bo2bob2o5bo4bob
ob4o6b3o5bo7bo6bobo3b2obo2bo8bo$2202b2o4bobo2b3obo2b2o2b2o2b3o2bo6bo6b
o5bo2bobo2b2o2b4o3bo4bo2b2o4b2obo6bo3b2ob5obob2o3bobobo6b2o2bobo6bo3b
2o5bo2b2o3b2ob2obo5b2o7bob2o11bob3o6bo2b2o3bobo3bo4b2ob2o2bobo7bo6b2o
6bo2bo6bobo3bo$2206b2obob4ob3ob3o2bo3b3o2bob2ob3obo6bobo2bo7bo3bob2o5b
o4bo6bo2b2o4bo6b2o2bobo4bobo6bobobo2bo3bo3bo7b2ob3obo6b5o2bobobo2b3ob
3o3b2obo2bob2o3bo2bo3b4obobo4bobob3o2bo2bobo2bobob2o2b2o3bo2bob2o2bobo
2bo3bo4bobobo$2202b2obob2o2b2o3b3o2b2o4bo3bob2o4b2o3bo4bo4b4o7b2o4bo3b
2obob5obo4b4obo2b2o6bo2bob5o4b3o2bo2b2o2bobob2o3bo2b3o6bobo3bo2b5obobo
6bo3bo4bo2b2obo5bobo2b2o3bob4ob2obo4bobo3b2o2b3obo2bobo5b3ob2o2b4obo2b
obo2bob3o$2201b2o8b2o12bob2o3b3obo3b2obobobo5bob3o2b2ob3obobob4o2b2o3b
o3bo2bo3b2o3b3o4b4o3bo2b2obo2bo6bo3b4o2bobo2bo5bo2b2o2b3ob2o2bob2ob3ob
3obobo3b2obo2b3obo4bo3bobob2o2bobo4bo4bobo2b2o3b2o6bo2b4o3b2o3bobo3b3o
2b4o3bo$2202b4o5b2ob3obo2b2obo6b5o4bo4b2o2b2o2bob2o2b4o2bo2b2o9bo2b2o
3b2obo10b2o3b2o3b3ob2obo4bobo2b3obo3bo2b2o3bo6bo2b3o2b2obob3ob3o6b2o3b
2o2b2obob2o6bobob2obob7o4bo2bo3bobob2obo2bo2bo3b2obobo2bo3b2o2bob2o5bo
bo3bo$2201bobobo2bo5bo3b4o4bobo6bob3obo6bo2bo2b2o3bo2bo4bo5bobo6bo11b
3o2b3ob4obo3b2obobobobobo3b3ob2obo3bo4b2ob3o4b2o2b2obo2bo2bobob2obobob
2ob4o3bobobob3o2b3o4bobob2ob3o4bo4b2o2b3o3bo2bobo5b2o4b3ob3o4bobo6bobo
2$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo!
Removed for swansong, Moosit

User avatar
GUYTU6J
Posts: 726
Joined: August 5th, 2016, 10:27 am
Location: 中国

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by GUYTU6J » May 6th, 2017, 5:51 am

After about 12900 generations,the puffer stops puffing and results in a (high-period?) spaceship.

Code: Select all

x = 1000, y = 8, rule = B2i3i6i/S03i:T1000,0
1000o2$bobo3b2o3b2o3bob2o2b2o10bo3b3obo2b2obobo2b2o2bobo2b2ob3ob2obob
3ob2o3bob2o4bo4bo2b2obob3o2b2obob2o5bo3b3o2b2ob2o4bob2o4b2o2bob2ob2o7b
o3b4obo2bobo3b2o2bobo2b4o2bobob2ob2o4b12o2bo13b2o5bobobo3bo6b2obob2ob
2obo3bo5b3ob3o2bo4b2o4bob2o2b4o4b2obobobo2bob2obo3bo9bo2b3ob6o5b3ob2o
3bobo3bo7bo2bob7o4b2obobo3b2o4b2obo2bo2bo3bo2bobo5bobo2bobo3b2o2bo10bo
3bo6b2o5bo2b2o10b5obo2bo2b2o2b2o2b2ob2o2bo4b2o8bo7bo2bo$3bob2o3bo2b3o
4b2o2bobo2bobo5bo5b2o2bobo4b2obo2bob2obo2bo2bo2b4o2bo3bo3b3obo6bobo4bo
2bobo4bo4bo2bo4b7ob3o2b3o4b2o3bob2obo3bobobo3b2o7bob4ob2obo7b2obobo2bo
bo2bobobo4bo3bobo7b3obo2b2o2b3obo2bo5bo3bobo2b3obobo2bob3o5bo2bo2b3ob
2o2b2o2bo2b2o2b3o3bob4o2b2ob5ob2obob2ob2obobobob2o7b3obo5b2obo4bobob2o
5b2obo4bo6bob2o2bob2obob2obo4b6ob3o4bobo2bobo4bo3bob2ob2o4bo2bob2o3b2o
b2obob2obo2bobobo4b4o2bo3bob2o2b5o3b4o4b2o6b2obobo5bo3bo$b2o3bo8bob3ob
o2bo2bobo5bob2obo2bobo2b4obo2bo3bobobo7bo2b2o2b3o5bo4bo4bo8bobobob2obo
b2obo6bo3b2o2b2o5bob3o10b3obo5bo2bo2b3o2b2o5b3o5bo3b2ob2obo2bobo5bobo
2bo9bo5b2o3b4o2b2o7b2o2bobo7bo4bob2o4bo2b2obobobob3ob2obobobo3b3ob3o4b
obob2obo2b3o4bo5bob3o2b2o2bob3ob3obobo2b2obo2bo10b3o3b3o5bobo2b2o3b3ob
obob2obo2b2o3bo2b2o6bobobo5b2obo2b3ob2o2bob2ob3o2bob2o3b3obo4b3o3bo2b
2o3b2o7bo5bobobobo3bo2b2obobo2b2ob2o4bo2b2o$bo7bo11b2obo4bobo2b3o9b2ob
3o3b2ob4obo3bo4bo2bo5bobob2ob2o4bo4bobo2bobo4b2o2bo4bob5obo4b2o4b2o5bo
2bobob2o3bo4bo2bo3bobobo2b2obob2o3bo11b2ob3obobo4b4o3b2o4bo2b3o4b2o2bo
b2o2b2obo2bob4o4b2obo2bo3bo3bobo6b2o6b2obobo2bo4bo2bo4bo2bo2b2obo2bo3b
ob2o6bobobobo2bo2b3obobo4bob3obobo2bo2bo6b2o3bo2bobo3bo3b2o2bob2o4b4o
4bob7ob4obo2b2obo2bobobobobobobobob2o3bo4bobo8b2obo4b3o3bo2bob2o3b2obo
bo2bo2b2o4bobobo2bo5bobobo3b2o5bo$b2o2b3ob2o3b3o2bob2o5b3o5bo2bob2o3b
3ob2o5bo4b4o4bo2bo2bo4bo3b3obobo5b5o3b2ob2o2bo5bob7o3b4o2b3obob3o8bo4b
2o3bo3bo12b2o2bobo6bo2bo2b2o2b3o3bo4bo4bo4bobo2b5ob2ob2o3bo2bo4b4o3bo
3b2obobo7b2o2b2o2bobo2bob3obobob5o2bob2obo5b2obob2o2b6o2bobo4b4o5b3o
10bob2o2bo2b2o3bobo3b2o2bo4bo3bob2o5b2o4b3ob4obob6o2bo2b2ob2o5bo4b2obo
b2o8b4ob5ob2obo7bobo6bobo2b2o4bob3o5b2o9bob4o10b2obo6bo$o4bo4b2o4bo2bo
2b3ob4o2b2ob5o6b2o4bobo3b3o5bobobo2bobo2b2o2b2o3bo4b2o4bo2b6o5b3obobo
5b3o2b2o2bo2bo2b6o2bobo3bo2bobob2obo4bo6b4o5b3o9b6o2b6obobob2o4bo2bo4b
4ob2o2b6o6b2o3b2obo2b3o2bo5bobo2b2obo3bo10b3o9bo3bo2bobo6bo2b2obo3bo4b
2o2bo6bo11b2o2bob2o3b3ob4o2b2o3b2o3bo2b4o3bo3bo3b2o2bo3bob3obob2obo12b
4obobo4bo3bob2obobo4b2o4bo4b4o3b5ob2o4bo2b4o3bobo3b2o2b2o3bobo3bo4bo9b
o3b4o!
Removed for swansong, Moosit

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GUYTU6J
Posts: 726
Joined: August 5th, 2016, 10:27 am
Location: 中国

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by GUYTU6J » May 6th, 2017, 8:19 am

If we add B4in:

Code: Select all

x = 1000, y = 5, rule = B2i3i4in6i/S03i:T1000,0
3bo4b2o3bo2b5o4b4o5bo2b2o3bo2b2obo3b2obo6bo4b5o2bo3b2o7b3obo4bo2bo2bo
3b7o3b2o2bob3ob3o5b3o2bo2bo2bobob2o2bo6bo2b2obo14b2o3bo2bo11bob2o2bobo
bobob2obo2b3o2bo6b2o11bob5o9b4obo2b2o2bo8bob2o6bo2bobo3b8ob2obobobob4o
2bob3ob4o2bo2bo4b2o2bo8b2o3bo3b2o3bob2ob4obo6bobo3bobo4bo4bo3bobo4bob
2obo4bob2obobob3o2bo3b3obo3b3ob3ob2o3b5o2bo11bob2o2bob3obo$bobo2bo2bob
3o3bobobob2o2bo3b2o2bo2b5o4bob2o3b2o3b2o7b3o3b2ob2o2bo4b3o2b2obobo4b3o
3b2o6bo2bobobo3bo4b2o3bo4bo5bo2bo3bo2b3o2b2o7b2o4b2obobo6bobobo2bo3b2o
5bo2b4o4b3o4bo6b2o2b2o5b3o2b3obo2b2o3b2obobo3bob2o2bobo2bo2b3o7b2o4b2o
3b3obo2bob3o2bobo2b4o3b2obo5b3o2bobo3b3o5bo3bo3b2o2b2ob3o3bob5o4b2o2bo
b2o2bo4b2o2b2ob3o4bo2bo2b2o3bo2bobo2b4obo5b2o2bo2b2o2b2obo9bo2bo2b2o3b
o4b2obobobo$2bo3b2o2bobob2o2b8obobobo8bo5bo4bob2o4bo3b3o2bobo2bo3bo2bo
bo4bob2obob3obobo3bobob3obo2bob2obobob2obo2b2obobob4o3bobo2b4o2bo5bo3b
o2bo3bo4bo2b2obo3b4o4bob2obo3bob3o2b3o2bo3bo3bob2o2bobobo3bo5b2obob2o
5bo2bob4o6b2o2bo3b5obo2b2o8b3o2b3o4bo2b2o2b2o3b2ob3ob2o2bo2b7o3b2ob6o
2bob2o7bo6b2obob3o3b2o5b2obo2bo2bobo8bo2bob2o2b3o5bo2bobob2ob2obo2bob
2o2bo5b2obo2bo4bo5b3o3b4ob3o3bo3b2obo2$bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!
Removed for swansong, Moosit

User avatar
Kiran
Posts: 284
Joined: March 4th, 2015, 6:48 pm

Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Kiran » May 10th, 2017, 8:02 pm

If you run the attached pattern with the speed set to 2^8 (change the base step) and pressing "tab" repeatedly instead of running it, you will see that the wiggly lines clear up in the first few thousand generations, leaving two active boundaries.
The topmost boundary would evolve for a while, but appear to freeze at generation 4096 (the spots on the top/bottom edge eventually fill in):

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
47b152o188b74o$46b153o187b76o$46b154o187b75o$46b154o187b74o$45b157o
185b74o$46b156o185b76o$45b158o184b75o$45b159o182b76o$46b160o180b76o$
45b161obo177b78o$45b165o174b80o$46b164o174b79o$44b168o171b80o$44b170ob
obo166b80o$43b176o164b83o$43b178o160b86o$42b179o4b2o153b87o$42b190o
148b86o$41b192o148b86o$41b195obo143b87o$41b43o2b152o142b89o$39b45o2b
154o138b91o$39b202o137b92o$37b206o134b93o$36b208o132b95o$36b208ob2o
129b95o$35b213o127b96o$32b220o121b99o$31b223o118b100o$31b73o2b149o116b
102o$30b74o2b149o115b104o$29b75o2b151o113b105o$28b76o2b153o110b107o$
27b234o108b108o$26b235obo105b110o$25b238o104b112o$22b243o101b116o$20b
247o97b119o$19b248o96b123o$19b250o92b127o$15b256o90b131o$13bob256o88b
134o$11b262o86b137o$8b265o84b141ob2o$4b271o82b144o2bobo$b275o74bobo3b
155o$276obo72b162o$278o2bo66b165o$282o62b168o$283o60b169o$284o57b171o$
286o53bob171o$286o52b174o$288obo48b174o$291o39b3obo2b175o$292ob2o24b2o
2bo3b2ob182o$298o12bobo2b2ob194o$298obobo3b2obob202o$512o$512o$512o$
24ob487o$23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$
242o2b268o$242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bob
o4bob82o$112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$
110o43bob211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$
103ob3o60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob
40o$94obo75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b
2ob183o85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo
93bob2ob23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b
151obo105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74o
bo161b143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$
25bo3b7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob
3o2b2obobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$
304bob59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo
$344bobobobobo6$405b2o2bo$405b6o$404b6o$182bob4ob5o2bo6b2o2bo3b3o2bo
185b9o$177bo2b38ob2o182b6o$177b45o180b6o$158b2o2b8ob4ob46ob2o2bo175bo
2b2o$156b79obo$156b83o$149b2o2b87o$146bob94o$144bob97o241b2o$137bob4ob
100o240b2o$132bo3b108o$131b114o2b2o$129b123o$128b126o$126b128o$124b
132o$120b137o$117b141o$113b147o$19b2o84b2obo2b152o$19b2o84b158o$103b
162o$103b162o$102b165o$101b167o2b2o$95bobo2b174o$93bob179o$91b185o$90b
188o$33b2o54b191o$33b2o54b191o$86b195obo2b2o$85b203o198b2o$81b2o2b203o
198b2o$81b209o179b2o$79b211o179b2o$76bo2b212o$75b220o$74b222o$72b225ob
obo$71b232o94b4o3b2o$69b235o89b2o2b11o$69b237o84bob21o$68b241o72b2o2bo
2b26o$67b50o2b191o69b36o2bo$66b51o2b193obo56bobobo2b44o$64b251o43b2obo
2bo2b55o$63b252o4b4o34b65o$62b262o13bob2obo2b4obobo3b67o$62b263ob6ob
93o$60b366o$59b370o$58b372o$58b373o$58b373o$56b377o$57b159o2bo2bobo2bo
b205obo$56b152obo2b2o16b205obo$56b139obob2o3bo2bo24b2ob203o$55b137obo
41b205o$54b136o46b206o$54b132ob3o48b205o$54b132o54b203o$55b128o62b200o
$54b24o2b103o63b201o$55b23o2b101o65b202o$55b126o66bob201o$55b125o70bob
198o$54b123o76b198obo3bo$55b121o77b204o$55b121o79bob202o$55b119o83b81o
b121o$55b119o85b77o5b121o$55b117o88b76o5b122o$55b116o89b75o5b19o2b103o
$56b113o92b75o3b20o2b103o$55b114o93b203o$55b113o94b204o2bobo$56b5o2b
101o98b209o$55b6o2b101o99b211o$55b4o4b100o101b211o$55b4o4b99o104b209o$
56b105o106b209o$56b104o107b212o$56b102o111b211o$57b100o112b211o$57b96o
b3o112b212o$57b94obo117b214o$59b92o120b213o$58b90o125b212o$58b90o125b
213o$59b88o128b213o$60b84o131b213o$62b78ob2o134b213o$62b78o138b212o$
64b72obo140b212o$65b71o143b213o$66b62obob3o146b212o$68b57o156b212o$68b
55o159b211o$71b51o159b213o$71bob46o163b213o$75b2ob40o164b213o$80b35o
168b211o$80b2o3b29o169b212o$88b2o2b14o5bo172b210o$92bo6b2o2b2o180b210o
$286b209o$287b207o$286b209o$286b208o$288b206o$287b207o$288b207o$288b
207o$288b206o$206b2o81b204o$206b2o83b169o2b30o$291b169o2b29o$291b201o$
291b201o$292b32o2b165o$291b33o2b166o$35bo256b200o$34b3o255b199o$33b5o
254b198o$34b3o256b198o$35bo258b197o$294b196o$295b195o$275b2o20b192o$
275b2o21b191o$298b190o$205b3o89b191o$205b3o89b190o$297b188o$104bo193b
186o$104b3o192b185o$102b5o192b184o$102b3o195b182o$104bo196b180o$301b
181o$301b181o$301b180o$303b177o$303b175o$305b172o$305b172o$304b64o2b
17o2b86o$305b63o2b17o2b86o$305b170o$305b72o2b95o$305b72o2b94o$307b166o
$307b165o$308b164o$308b163o$310b161o$310b160o$310b159o$310b158o$309b
158o$151bob4o153b22o2b131o$147b13o151b21o2b83o2b46o$144b17o150b21o2b
83o2b45o$142b20o148b22o2b18o2b109o$142b22obo144b42o2b87obob19o$140b27o
144b130o4b16o$139b32o142b127o4b16o$138b33o143b127obob16o$137b36o140b
146o$135b39o140b146o$135b39o141b144o$133b42o140b143o$132b45o139b141o$
101b2o26bo2b46o138b140o$101b2o26b49o139b138o$128b50o139b136o$127b52o
137b137o$125b54o138b134o$124b57o135b134o$123b57o136b134o$122b59o136b
132o$122b61o134b132o$120b64o133b131o$119b64o135b130o$118b67o134b129o$
117b67o134b128o$117b68o122b2o11b125o$116b68o123b2o12b124o$116b69o136b
123o$117b68o136b123o$115b70o136b122o$116b69o137b121o$115b70o136b121o$
113b72o137b119o$113b72o137b119o$113b71o137b120o$113b72o137b118o$111b
74o137b118o$111b74o138b116o$110b75o137b117o$108b77o139b117o$108b77o37b
2o99b118o$107b77o38b2o52b2o46b117o$106b78o38b2o52b2o45b118o$107b76o
140b119o$106b78o140b117o$105b22ob2ob52o141b117o$105b19o9b49o141b120o$
104b20o9b49o140b121o$103b22o8b49o141b122o$102b22o10b48o140b122o$102b
24o7b48o140b124o$101b26o4bob48o139b125o$100b82o137b127o$100b81o138b
129o$98b82o138b130o46bo2b2ob4ob2o$2o96b83o137b133o42b19o$2o94b84o93b2o
42b135o38b22o$5o91b83o94b2o42b136o33bob24o$8o3bo83b85o138b135obo22bob
2o2bob27o$12o82b86o138b52ob27o2b55o15b42o$14o79b87o137b52o4b25o2b60obo
7b43o$16obo73b88o138b52o4b25o2b64o3b45o$19o71b89o137b55ob140o$20o70b
87o137b198o$24o64b90o136b198o$25o62b91o135b199o$27ob2o57b90o135b200o$
32o53b93o133b201o$34o51b93o134b200o$35o49b94o133b201o$36o46b95o133b
202o$36o46b96o130b204o$38o43b96o131b204o$38o42b95o132b205o$39o3b3o32bo
b96o131b206o$45o28b102o130b207o$47o2bobo20b103o128b209o$52o5bo11bob
104o129b208o$54o2b61o2b56o128b209o$117o2b56o126b211o$175o125b212o$175o
125b212o$176o124b9o6b197o$175o124b10o6b74o2b121o$40o2b134o121b92o2b
121o$40o2b134o121b215o$175o121b216o$175o120b217o$176o117b219o$175o117b
220o$176o116b220o$176o115b221o$176o114b222o$176o113b223o$176o111b225o$
177o109b226o$178o108b226o$179o106b227o$180o104b228o$181o100b231o$182o
96b2ob231o$182o94b236o$183o92b60o2b175o$184o90b61o2b175o$185o88b239o$
186o87b239o$188o83b241o$189o80b243o$190o77b245o$191o74b247o$193o67bob
250o$194o66b252o$196obo61b253o$199obo57b254o$203o53b256o$205o48b259o$
206o44bob260o$208o42b262o$210ob2o28bobo2bob264o$216ob2o20bob271o$222ob
ob2o3b2ob279o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$119ob392o$117o5b390o$117o5b390o$
118o5b389o$119o3b373o3b14o$490obo10b10o$485o18b9o$483obo18b9o$481obo
21b8o$479o26bob5o$477o32b3o$477o33b2o$475o35b2o$b473o$b472o$2b470o$3b
469o$4b466o$6b463o$7b461o$7b460o$9b457o$9b456o$9b457o$11b453o$12b269o
2b91o2b89o$11b270o2b91o2b87o$13b450o$13b450o$13b449o$15b447o$15b446o$
15b445o$17b444o$16b445o$17b172o2b269o$19b170o2b269o$19b442o$19b442o$
21b440o$22b438o$21b438o$22b437o$23b436o$23b435o$24b115o2b318o$25b114o
2b317o$25b114o2b317o$25b114o2b316o$26b432o$27b429o$28b429o$30b425o$30b
425o$32b424o$33b422o$33b421o$34b420o$35b419o$36b419o$35b420o$36b418o$
37b418o$36b182obo2b2o2b228o$37b178o13b3o2b2ob2obobo2b2obob205o$38b177o
34b2obob200o$39b172o2bo45b195o$41b168o50b195o$41b167o54bob2ob187o$40b
166o62b2o2bo2b5o4bo2b2ob166o$41b165o86b164o$41b164o87b164o$43b161o89b
164o$42b160o93b2o2bo2b52o2b101o$43b157obo54bo2bo44b45o10b8o2b87o$43b
157o55b6o44bobo4bo2b4obo3b3ob3o2b4o5bob4o23b86o$43b155o58b6o109b86o$
43b155o57b6o112b84o$44b153o60b4o113b84o$45b152o60b4o116b81o$46b150o
181b81o$45b150o184b79o$46b149o184b80o$46b149o186b77o$46b149o187b77o$
45b150o187b76o$45b151o187b75o$46b149o190b74o$47b149o190b72o$47b150o
189b72o$46b151o190b71o$47b151o189b72o!
The lower boundary is meanwhile more curved, and gradually straightens out and freezes at generation 38656:

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$84o2b426o$84o2b426o$512o$512o$512o$512o$
512o$512o$512o$104o2b406o$104o2b406o$104o2b406o$104o2b406o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$24ob487o$
23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$242o2b268o$
242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bobo4bob82o$
112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$110o43bob
211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$103ob3o
60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob40o$94ob
o75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b2ob183o
85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo93bob2ob
23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b151obo
105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74obo161b
143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$25bo3b
7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob3o2b2o
bobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$304bob
59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo$344bo
bobobobo6$405b2o2bo$405b6o$404b6o$402b9o$403b6o$402b6o$403bo2b2o5$484b
2o$484b2o10$19b2o$19b2o9$33b2o$33b2o2$486b2o$486b2o$469b2o$469b2o39$
333bo3b4o3b2o2bo3b3o2b2o3bobobobo$331bob37o2b3obobo$329b50o$326b55o$
324b59o$316b3o2b62o$314b72o$313b74ob4o$311b82o$309b85o$307b89o$306b91o
$303bob94obo4b2o$303b106o$302b107ob2obo$299b116o$297b119o$292b4ob119ob
4o$292b130o$290b134o$288b138o$288b139obo$286b145o$282b2ob148o$280b153o
$280b155o$277bob158obo$275bob163o$275b166o$274b168obo$273b171o$269bo2b
174o$268b180o$266b183o$266b183o$262b188o$254bo2b2o3b190o$253b200o$253b
201o$251b204o$251b205o$246bo3b206o$206b2o36b213o$206b2o35b215o$241b
218o$235bob2o2b219o$234b227o$233b91o2b136o$230b94o2b137o$35bo190bo2b
236o$34b3o188b241o$33b5o186b243o$34b3o183b2ob245o$35bo184b250o$219b
252o$218b254o$217b255o$215b258o$214b260o$205b3o5b263o$205b3o5b264o$
211b267o$104bo106b267o$104b3o102b270o$102b5o101b273o$102b3o103b274o$
104bo101b277o$206b277o$204b281o$203b283o3bo$203b288o$202b292o$201b293o
$200b297o$198b170o2b17o2b110obo$197b171o2b17o2b113obo$196b308obo$196b
181o2b127o$194b183o2b128o$194b314o$192b317o$192b318o$191b321o$3o186b
323o$3o185b324o$4o183b325o$6o179b327o$7o177b328o$7obo175b148o2b178o$
10obo170b150o2b83o2b93o$13o168b151o2b83o2b93o$13o168b151o2b18o2b158o$
15o165b172o2b87obob68o$15o164b262o4b67o$17o160b263o4b68o$17o159b265obo
b68o$19obob2o152b336o$25o149b338o$25o146b341o$26o145b341o$28o142b342o$
28o73b2o66b343o$30o71b2o65b344o$31o136b345o$32o133b347o$34o130b348o$
34o125b3o2b348o$35o2b2o2bo2b2o110bo2b353o$47obo106b357o$50o100b362o$
53o86bob2obo3bob362o$53ob2o83b373o$58o72b2ob379o$60o65bob385o$60o64b
388o$62o57bobob389o$62o56b394o$64o2bo2b3o3bo40b396o$77o37b398o$83obob
3o7b3o3b5o3b402o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$370ob27o2b112o$369o4b25o2b112o$369o4b25o2b112o$
371ob140o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$117o2b393o$117o2b393o$512o$512o$309o6b197o$309o6b74o2b
121o$40o2b347o2b121o$40o2b470o$512o$512o$512o$512o$512o$512o$512o$512o
$512o$512o$512o$512o$512o$512o$512o$512o$335o2b175o$335o2b175o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$119ob392o$117o5b390o$117o5b390o$118o5b
389o$119o3b390o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o
$512o$512o$512o$512o$512o$512o$512o$512o$512o$281o2b91o2b136o$281o2b
91o2b136o$512o$512o$512o$512o$512o$512o$512o$512o$189o2b321o$189o2b
321o$512o$512o$512o$512o$512o$512o$512o$512o$139o2b371o$139o2b371o$
139o2b371o$139o2b371o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o!
After this, both boundaries are p256 oscillators (the period is not less than that, as setting the speed to 2^7 shows changes).
Why should this be?
If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?
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Kiran Linsuain

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BlinkerSpawn
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by BlinkerSpawn » May 10th, 2017, 9:48 pm

Kiran wrote:If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?
I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak.
However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on.
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muzik
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by muzik » May 16th, 2017, 6:38 am

large symmetrical sl:

Code: Select all

x = 20, y = 20, rule = B3/S012345678
9b2o$9b2o5$9b2o$7bob2obo$8bo2bo$2o4b2ob2ob2o4b2o$2o4b2ob2ob2o4b2o$8bo
2bo$7bob2obo$9b2o5$9b2o$9b2o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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dvgrn
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by dvgrn » May 16th, 2017, 8:41 am

BlinkerSpawn wrote:
Kiran wrote:If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?
I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak.
However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on.
At first it didn't look like there was anything traveling around the boundaries. Was looking for something moving left or right, and there wasn't any obvious directionality. But the light bulb kind of goes off as soon as you think about XOR effects, along the lines of the B1/S bounded grid example here.

Notice that each of the isolated high points on each boundary sends a new live cell left and right on each tick. Those two ripples travel at lightspeed ... and that means they're going to meet and cancel each other out in 256 ticks, not 512.

Assuming that the XOR effect is managing to propagate on the angled sections, where it's a lot harder to see than on the flat sections, it's a little easier to see why the period can't be 512 with a minimal example:

Code: Select all

x = 512, y = 9, rule = B4678/S35678:T512,16
512o$512o$512o$512o$512o$512o$512o$512o$256bo!
It seems like a good sign for this theory, that each boundary only stabilized to period 256 just after it evolved to the point where its variation from horizontal never exceeded 45 degrees. You're not going to get lightspeed east/west ripples if there's a two-cell-high vertical cliff anywhere.

-- Drat these bounded grids anyway. By rights Golly should be totally running away with a pattern like this!

As the A268754 sequence shows (explained a little in the link above) the period could get a lot more complicated at non-power-of-two widths. Would advise starting with artificially simple examples if experimenting with other widths. These three aren't so bad --

Code: Select all

#C period 510 oscillator
x = 510, y = 9, rule = B4678/S35678:T510,16
510o$510o$510o$510o$510o$510o$510o$510o$254bo!

Code: Select all

#C period 511 oscillator
x = 511, y = 9, rule = B4678/S35678:T511,16
511o$511o$511o$511o$511o$511o$511o$511o$255bo!

Code: Select all

#C also a period 511 oscillator
x = 513, y = 9, rule = B4678/S35678:T513,16
513o$513o$513o$513o$513o$513o$513o$513o$255b3o!
-- but it seems like there might be some surprises lurking at other widths.

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by _zM » May 18th, 2017, 9:42 am

Found with a modified version of a script detailed on the "Script request thread" thread:

Code: Select all

x = 276, y = 275, rule = B2ckn3ejqr4aejwy5aeikq6-i8/S2cei3ajkqry4aejktw5acjknr6-i7e8
2bo2b2o2bob3o3bobobobobob7ob3o3b2ob7o3b3o3b3obob3o2bo3b2ob4o2bo6bob2ob
o2bob6ob6o3bobobobo4b2obo4bo4bobobobo2bob2o6bob2obobo2bo2b3obob3o3bobo
5bo4b2ob3o2b2o3bob2o2b3obo3bo3b2ob3o2bobobo3bob5ob5o2b4o2b3o2bobobo$b
2o2b2obob2obob3o2b2o2b2ob8ob2obob2obobob4ob4obo2b2ob4obob2ob2o3b2o8bob
2o5b2ob2ob2o2b2o2bobo2bo3bo4b3obo3b2o3bo2b2obob2o3bobo2b3ob3o3b6ob3o7b
5o5bobobobo3b3ob2o2bob4obob2ob2o2b3o5b2ob2ob2o3b3ob2obo3b6ob2o2b2ob2o$
6o3bob5o3b4o7bob2o2b2o2bo2bo2bobo2bob5ob2obo7b3obob3o4b4ob3ob2o3b2ob3o
bobob3obo3bo2bob3ob3o2b2o4bobobobobo2b2ob4o2bobobo4b6o2bo3bo7bobobo2b
2ob2o2b2o2bob5ob4ob2o3bob2o2bo2b5obo2b3ob2ob4o2b2ob4o2b2o5b2o2bob2o$2b
7o4b6o2bo2b5obobo2bo2b2ob2ob2ob2o8bo3b2o4b2o2b3obobobobo3b2ob2o4bobob
2o2bobo3bo4bo3bo2b3o2b3obo5bo2bo3bobo5bob3ob3o2b2obobobo3bo2bobob3o2b
2obobo4bo3bo2b2obo2bo2b5ob2o2bo4b3o11bob2ob7ob3o3bo4b3obob2obob2o$bob
4o4bob3o2bo5b2ob4o2bo3b2obo2b3o4bob2o4b2o3bobo3bo2bo4bo3b4obo3bob2obo
2b2ob5obo4b3o6bobo2bo2b2obob4ob2obo6bo2bobo4b2obo3bo2b2o2bo2bo4bobo3b
6o2b4obobobo3bo2b2ob3ob2o4bo3b2ob2obob3ob3o2bobo2b2o3bob4o2b6ob5o$2o2b
obo6b2o2bo3bob3ob2ob2o2bo2b2o3bo2b3o2bo2b3obo3bob2o2b4o2b3o3bobobo7b3o
7b3ob2ob3o5b2ob4ob2ob2o3b2o3bo4bo4bobo4bo3bob7ob4o2b2obob3obobo6bo3b3o
bobob2ob2o6b2ob2obob4o2b2obo3b3obo2b2ob2ob2ob4o2bo2b4ob2ob3obobo$bobo
2b2o2bo3bob2o4bob3o4b2ob3ob2o2b2obob4o2bo4bob2ob2o2b2o2bo2b2obo2b3o3bo
bo3b3ob2ob2o2bo2b5o3b4obobob2ob2ob2obobobob2o5bo2b2o2b2o5bobo2b5ob3o2b
o4bob2obob4ob4obo4b3obo3bo3bob2ob2o2bo4b5o2b3obo4bo2bo2bobobo4b3o3bo2b
4o2b2o$bo3b2o2bo5b2o4bob4obob6obob3o3bob2o2b2o5b3o3b2obo2bo3b3obob2o2b
o2bo7bobo2bo6bo3b3o2bo2bobobo2bo5bo3b2ob3o4b2obo2b2o2bob2ob2obo2b4obob
3obo2b4o4bo3b3obo4bo2b2o2bobob2ob2ob3o2bo2b3o4b3obob4o5b2ob6ob2o3bob2o
bob5o$3ob2ob3obo2bob2ob5obobobo5bo8b2obo2bo4b4ob3obo9bob2obo2bob5o3bo
4b2ob2obob3ob6ob2o3bo4bobo2bo3bo2b2ob2obob2o2b2ob5ob3o2b3obo7b2o2bo6bo
bo7b4o4b3o3b3o2b3ob2ob2o2bo4bobob2obobo5bobo2b2obob3o7bo4bob2o$3bo2bob
o2bo3b3o2bob2ob2ob5o3b5o7bo4b3o4b2o4bo4b3o3bob3ob3ob2o4bo2b2o2b2ob3obo
b5o3b2obo3b2ob3o3bob2o4b2o3b2obo3b4obo2b2ob3o2bobo4b2obob3o2bob2o4bo3b
5obob3o3b2obobo2bo2b3o4bo5b2obo2bo2b5o2bo2b3o4bob6o3bobo$b2o3b2o2b2o2b
2o4b2o3bob3obo2bo5bobo6bob2ob4o2bob3obo3b3o4bo2bo2bo3b3o3b5obobo4bob2o
2bo2bo4b2ob3o2b3obo2bo3bo2b2ob2ob3o2b7obobob2obo2b5ob2obo3bob2ob6o2b2o
4b5ob3o2bobob4o2bobo2b3o2b3obo2bo2bo6bobob4ob5obo2bo2bobo$bo2b3o2b5o2b
o4b2ob2o2b2obo2bo4b2o10b4o7bo6b2o2bob2obob7o2b2o4bobo2b2o6bob3obobob2o
2b2o2b4obo5b3o2bob4obob2obo2bobo3bo2b3ob5o2b2obob4ob2ob2o4bob4obo5bobo
bo3bo2bob2ob4ob2ob2o3b4o3b3o2bob3o3bob5obo2b2o2b3o$b5ob2obobo2b5o2b2o
3bo2b2obo6b3ob4o3bo2b2o3bob2o2b2obobo3bobobobo4bo2b3ob5obob2o2b2obobob
obo2bob2obob4o7b2ob5o6bob3o4bobobo4bobo2b4o3b3obobo7b2obob6o3b5o4bo4b
2ob2o3bob2ob4obobob2ob3o2bo2b2obobo2b4ob3o2b2o$4b3ob3o4bob2ob2o2b4ob2o
10b4obo3bobob2o2bo2bobobob2o3bobo4b2o3b2o2b2ob2o3bo4bobob4ob2o3bo2b3o
2bo2b2ob2o6bob2o2bo3b9obobo3bo2b3o6bob2obo4bob3o4bo3b5o2bo2bobo2bobo3b
o3b3o2b2o2b2ob2obo5bob2o2bo2b2o2b3o7bob2o2b3o$o2b3obo5b2o5bo2b2o2bo2b
3ob2obo2b2ob2obob2obo6bobo2bob3ob3obo2b3o2bob2o2bo2b2ob3obo2bo2bob2obo
7bo3bob4ob2o2b3o3bobob2ob5ob2ob2ob4o2bo6b2o2b5ob7obo2bob2o9b3o4b2ob6ob
3o2b2obo2bo2bo3bob2obo5b2ob2o2bo4b2o3bo5b3o$b3obo4bob3obobo3b2o5b6obo
5bo6b5o2b5ob2ob2ob3o2bobo5bo3bo3bobob3obo4bo2b2obo2bobo2bo2b2obo2b3o4b
o2b3o3bo2bo2bobobobob2obobo3b2obobobob2o6b7o2bo2bobo3b2obo3b3obo7b2o3b
o8b3o5b2ob3obo2bobobob4obo3bobo2bob3o$3b2ob4o2bob5obo2bob2obo3b2o5bo2b
o2b2o3b4o6bob2obob3o3b2ob3o3b3o2b2ob3ob3o3b5ob2obobob2o3bobob3obobo2b
4ob3ob2ob3obob2obo3bo2bob2obob2o2b2o7b2o2bo2bobo3b4o4b4ob3o2b2ob2o6bo
2b4ob4o3bo2b5obobob8obo2bobo5b4o$obo3b2ob2o2b4obob2o4bob3obo2bobobobob
o4b2o3bob6ob2obo2bob2o2b3obob2o2bob3obo2bobobobo3b7ob2o2bo2b11o2bobo3b
obo2b2o2bob2obobob3o3b5obob2o4b2ob2obob2obo2bob5o7b2obobobo2bo2b3obo4b
3o3b2o2bobo3bo4bob2ob6obobob2o2bobo2b2obo$b5o3b4ob4ob2ob3ob2ob8obobobo
bo4b2o9bo2bob4obob3o4bo3bo3bob2o4b2o2b3ob2ob2obobo2bobo5b2ob2o2b6obo5b
2obobob3ob2obo2bob2ob3obo4bo2bobo2bo6b2ob2o5bo3b2o3b3o2b3o2b4o2b3obobo
b2ob4o4b2o2bobob2o5b3o3b3ob3obobobo$bo2bob5ob2ob2o2b2o2bo2b5o2bob3ob3o
b6o3bo6b2ob8obob2ob2obobobobobobo2b2obobo2b2o4b2o2bo4bob2o2bobob2ob3o
2b2obo4bobob2o2bo2bobo5bo2bo3bobo2b3o2bob3o4b8o6b4o4b2o2bob4obob3ob2o
4b6o2bobob2o4bobob2o2bobobob3ob2ob5o$b3o2bob2o2bobo5b3ob3o2b3o2bobo5bo
3b9o2b3ob7ob3ob4o2b3ob3ob2ob6o2b2ob2obo3b2ob6ob2o8bo2bobob3ob7obob3obo
bo3bo3bo2bo2b2o5bo2b5o4bobo2bob3o3b6o2b3o3bobob2obo3b2o3bob2o5bob3ob2o
bo3b2o4b6o5b2obobo$o2bob2o4bo5b2o2bob4obobo3bo4b2ob6o3bob2o2b3ob2o4bob
3o3b2o5bo2b2o2b2obo4b4obo3b4ob2obobob3o8bo2bob3o4b2o2b2o2b2ob3obobo2b
5o4b2obo2bobo2b4obo2bob2o6b4o2bo2b3o4bo2b3o3bo2b2o2b2ob4ob2o2b3ob3ob2o
bo2b2o2bo5bo2b2o3bo$2o2b4o3b3obobo4bo3b3obo5b2ob3o4bob2o3bo2b11o3bo3b
2obobo2b4obo2b4o5b3o2bobo2b2o4b4obo3b4obobo3b3obobo2b6ob2o2bobo4bo3b3o
b3o3bobob4obob2o2b2o12b2o6b3ob2ob3o4bob2obob2ob3o4b2obo2bo3b3o2b4o4b5o
2b2o$bob2obo2b4obo4b2obo2b4obob2o2bob2ob3o2b4obo2bo2bobo6b4o2bo2b3o3b
4ob2obo2bobo4b3o6b2ob3obob2o2b8o10bo2bo4bob3obo5bob2ob2obo2b4obo2b6o3b
2o2b2obobo2b2ob2o2b4o2bo3b2ob3o2b2o2b2obobob3obo4b4o3b2obo2b4obo2b2o2b
o$bobo4b3obobob3ob4obob2o2bobob3o2b2obob2ob2o6bob4o5bo5b6obo3b2o3b2o5b
2o3bo3b3o2bob7ob3o6bob6obo3bobo2b2o6b3o2bo4bo4bo9b2obo3bob3obob5o3b3o
2b8obobob3ob4ob2ob3o3bobo3b3obobo3bobob3ob2ob2obob2o$3bobo4b2ob3obo2b
2ob4o2b7o2b4o8b2o2bob2obob2obobo2b2o2bobo3b2obo4bo2bobob2ob3obobobob2o
3b3o2b4ob3obobo3b2obob2o3b2ob4o2bobobo4bo4bo4b2ob3ob3ob2o2b2ob2o4b2ob
2ob6o2bo2bo2bo4b2o2bob4o4b2obob3o2b3ob2obobobobo4b2ob4ob2o4bo$4obo2bob
o2b2o2b2ob7o2bob2o2b2o2bo2b2ob2ob2ob2o2b5ob4o3b2o3bob2obo2b2o4bob2o2b
4o2bobobobobob5obob3obo2bo3b3o2b2ob3obobo3b2obobob2o6b2o6bobob2o2bo2bo
bobobo2b2o4b3o4bo4b3obo2bo2bo3bo2b2o5bob6ob3o2bobo2bo2b3o2b2ob3obo2b8o
$7obo2bob3ob2o2b3ob5o2b3o2bo2bobo3bob5o2b4o7b4o5b3o2bob2obob6o3bo2bobo
bo2bobob3o2b2o2bo2b4obo2b3o2bob3o5b3obo3b3o2b2o3b2o2b3o3b4obo8bobob2o
2b2o2b4ob6ob2o3bo4b2o4b2ob2o3bob3o2bo5bo3bobobo2b2ob6o5bo$b2o3b7obob3o
b2ob7o4bobob3o5bo4bob7ob2o5b3ob5o7bo4bo5b2ob3obob3ob4o2bobob2ob6o2b2o
2bo2b4obobob5ob4obobo2b2obo2bo2b2o3b2ob2ob2o3bo2b5o5bo2bo2b4obo3bo3bob
2obobo3bo2b3o2b2ob3o2bo3b2obo2b2o2b3o2bo6bobo$2o8b2o5bob2ob3o2bobo2b3o
4bobobo3bobob2o2b2obobo2b2o2b2ob3o2b6o2bo2bobo2b5ob5o6bob2o2b2o3b2o2bo
2bo2b4o2bo3b2o3bo2bobo7bo2b2o7b2obo3bob2o2b3obo2b5o3b3ob3o2bo2bobo2b3o
2bob5o3bo2b3o2bob4o2bobo2bob2o2bobobob4o3bob2o$3bo2bobo3bob11obobo4bob
2o2bobob2o2bo4bob3obobo2b5obo3b2o2bobo4bob4obob5ob2obo3b4o2b2obob2obob
obobob4o3bo2b3o2b3obo6b4ob3obo2bo2bo2b2o4bo2b3ob2ob3o3bob2o2bobo3b2o3b
2ob2o2bobobobo2bo2b2o4bobo3b3ob3obobob2o2bobo2bo2bobob2o2bo$3o2bob2obo
2b2o5b2ob2obob6ob3o7bobob2ob2ob2o2bob2o3b2ob2o2b6ob11o2bobo2b2o3b2o2b
3obo2b4o3b4o2b5o3b2o2b5obob3o5b2o4bo5bo4bob4o2b2ob2obo2bo3b2obob2ob2ob
2obo2bo2bob2obo8b4o2bob2o2bo3b3obobobobobo2bo3b2o3bobo4b2o$3ob6obob4ob
ob2obo2b2ob2o2bo3bo3b4obob2ob3ob3o2bo3bo2b3o2b3o2bo2b4o7bo3bo3bobo3bob
o2bobo8b2obo4bo4bo2b4o5bo5b2ob3obo6bo4b4obob9o3bo2bobobobo6b5obob2ob3o
2b3o3bo5b2ob2ob2obo2b2o2b3obo3bo2b2obo5bo$obo4bo2bob2o4bobob4o3b5obobo
b2ob2obo11b3ob3obob3ob4o8b4ob4o2bob2ob2ob6ob2obob2o2bob2ob3obo2b6o2bob
2obob4obob6ob2ob2o2b3o6bo7b3ob2ob4ob2obo2b6o2bo2b2obobob2obo3bo2b2o2b
4ob3obo5b2o2bo4b3ob3ob5obobobo$b4ob2obobo2bobo2b2o2bo2bo2bob6obo3b3obo
b2o2b2obo3bob2o4b2obob3o3bo4bobo2b3ob3o3bo3b3ob4o5b3obo3bob2ob2ob3obo
5bo7bo3b2o2b4obo3b2o3bobobob6o2bob2obobo2bob3ob3o2bo3bo2b2o7b3ob2o2bob
4o7b2ob3o5bob5obob4o5bo$4b4o2bo2bo2bobob2o2bobo2b3obo3b3ob5o4bobobobob
ob2ob2obobob3o4bo3bo2bo2b3o2bo2bo3b2o5b2ob3ob2o2b2o4b2o3b3o2b4obobo5bo
2b5obo2b2o4b2o2bobobobobobo2bo2bo2b5o2bo3b2ob8o2b2o2b2obo3b4ob2obo2b2o
8bo2bo2b3o2b6o2bo2bob3obob2o$b2obo4b3obo2bobo3bob3ob4obo8bob2o6b2obob
3obob2o3b2obob2o3bo3bo2bo4bobo2b3obo2b4ob5o2bobobob2ob2ob2obobo2b2obob
2o3b3ob2ob5ob3ob3ob3o3b2o2bob2ob2obob2obo2b3o4bob2ob5o4b2obob2o2b2o2bo
2b2ob2obo3bob5obobobo2b2obob4ob2o6bob2o$2bob2ob2ob7ob2obobo2bo6b4o4b9o
4bobo2bob2obobobob2obobobo2bobo6b3ob2o4b2o2bobo2b2ob2o2b4o2bo3bo2bo4bo
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10ob4obobobo4b4obobob2obo4bo2b2o2bo3b3o3bobobobobobob3o3b2obobobo2bobo
2bobo2bobobobo4bo$2o2b2obo5bo2b2obob2obo2b3o2b5ob7ob2obob3obobo2b2ob3o
2b6ob2ob2obob6obobobob5obo3bo5b6o2bobob4o2b5obobobob2o2b2o6bobob4obobo
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2b5o2bob2ob5obob3obo2bo2b6obobo7bob2obobob2o2b2o2bob2obo3b2o2b2ob2ob4o
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3bobobo4b2o2bob3ob2obo$3bo2b3obo2b3ob2o2b2o3b7obobo2b2o6bo3b2ob2obob3o
5b6ob3o3b2o2bob2ob4ob5o3bobo2b2o2bo3b2ob2ob3obo2bo2b3ob2ob2o2b2o5b2ob
6ob5o3b2o4bo2bob5o2b3ob4o5b4o3b3obob2o2b2o3b5ob2o2bo2bob4obo8b3ob2ob2o
2bobobo3bobobo2bo$4bo2bobob2o2b2o3bobo3b4ob3o5b5o2bob2ob3ob3obob2obob
2o2b2o3b5ob2o2bobob2ob2obo2bob2ob2ob4o2b3o2bo2b2o2b3o2bob3o5bo2b3o2bo
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4b2o2bo2b2o3b2obo3bobo2b2o2b2ob3o$b5obobobobo2b2obo3b2o4b4ob2o2b2o2b2o
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4b2obo2bobo2b3ob2obo3bo5b2ob2ob2ob2ob2o4b2o4b5obo4bo2bob4ob4o3b2o8bob
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3b3ob2o2bob2o3b3obobo2b3ob3obo2bo3bob4obo3bobob2obobo2bob2o2b4ob3o3bob
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2o3bobobo3bobo4b2o5bobob5o2b2ob3o9bo2b2ob2o3bo5b3ob2o2bob6ob2o2bo5bo2b
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4bob3o4b5obob3o5bob2ob2o2bobo8bob2o2b2o3bo3bobob3o4bo3bob2ob2obobob2ob
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3b5o4bobob3ob2obo2bo2b2ob3obo2b2obo2bo2b6o2bobobo4b2o2b2o2bob3obo2bob
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2bob5obo4bo2bo2bo2b4obo3bobo3b2o2bob2obo2bo3b4ob5obobo2bob2ob3ob4o2bo
5bo2bo3bobo2bo2b4o3bob2o4b2o2bobobo2bobo4b3o3bo6b3o2bo$7b2o3bob6o2bo3b
4o2bobo4bobob8o5b2obobo5bob4o2bob2o3bo2bobob3obobo9bo8b2ob6o4b4o5b3o2b
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2bobobo2bob11ob2o4b2o$b3o3b3ob3ob2ob4ob4obo2b4o6bo2b3ob2obob2ob3o2bo4b
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4o2b4ob6o5b2o2b2o2bobobo3bob3obob4ob2ob2o2bo4bob3o2b2obo3bo3b3obo2b2ob
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2bo2b4o2bo2bobo6bobobo2b9o4b3obobo3bo2bob2obo2bobo2bob2ob2ob4obo4bo2bo
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2b4o2b3obo2b2o2bobobo2b3obobob3o4bobo5b3obobob8obo3bo2bobobo3b2ob2o2bo
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3ob2o3bobo3b2ob3o3b3obo2b2o2bobobo2bob3o2bob4ob2obo2bo2bo4bob2o2bob3o
2b2o2b4ob2ob3obo2b3o8bo3bob2obo4bob4o8b2obob2o4b2obobobob8ob3ob5o2b3o
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7o2b6o5b4ob2obo4bob2obob2o2bob2o3b5o2b2o2b2obob2o4bo10bobo4b2o2b3o4b2o
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2b6ob4o2bo2bo6b3o2b3o2bobob2o2bo3bobo2b2o3b4ob4obob3obob2o4b2ob3obobo
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3bobobo2bo4b3o2b4ob2obo2bobobobo$o3b2obo3bob2ob2obo2b2o5b2o4bo3b2o3b3o
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2bob4o2bo2bobo2b2o$b3obob5o2bobob2o2bo3b2obo2bobobob2o6bob2obob3o6bo3b
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$b2obo2bo2bo3bo2bo2bobobo2bob3o3b2ob4o4bobobobo2b3obobo3bo2bo3bobo2bo
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obob2o3bob7obob5ob2o2bob2o3bo3bo2b2o3bobob7ob7ob4o2b2o2b2o3bo$3bobo2b
2o4b4obo4b5o4bobo3b2o4b3obo3bo4bob3o7b2o6bob2o2bob2obobob4ob2o3b2o2b2o
2bob2ob2obobob3o2b3ob3o2b4o3bo3b4o9b5o2b2o2b2ob4obo2b2obob3obo2b2o2b3o
bo6bobobo4bob2o2bob5obo5b2o3b4obo6bobo2b2obobo3b3o$3o4bob7ob2o3b2o4bob
5o2bo3b2o2b5o4b4ob2o2bobobobo4bobo2b3o2b3obobob2o3bo2bob4obobo2bo2bobo
2bob2o2b2ob4obob4obo2bo2bob2o3bobob2obob2o4bob3o3b4o2b6obobobob7o5b2o
3bo3bo3bo2b3obob2obo3bo6bo7bo2b3obob2obo2b2ob2obobo$bobo4bo4bobo3bobo
2b3o2bob2o5bo2bobo2bob2o5b4ob2obo3b2obo4b2obobobo2b3o3bo2bo5bob3o3b2ob
2o2bobob2o10bo2bo2b2o3b2obobobob3obobo3b3ob4o4bo2b3obob2ob3o5b2o2bo4b
2ob4o3b3o3b3o4b5ob3obobob2ob4o7bobobobo3b2obobo5b2o$obo3bo5bobob2o2b2o
2bobo2bo2bo2b3o2b4o3bo2bobob2obobob3obo4bob2ob2o4b2ob2o3b5ob2o2bob2o2b
6o2bo4b3ob5o2b2obo2b2ob3o2b3o4b8obob3ob3o2b4ob2o6bobobo3bobob3o3b3ob2o
bobob2obobob5obob5o11bobo2b4o4b10ob4ob4o$obo2bo2bo3b2o3bobo2b2obob2obo
b2obo2bob3o3bobo2b2o3b2ob3o6b2o3b3ob10o2b3o2bobob6obobobo5bobobo3b8o3b
o2b2obo2b3ob9o8bob6ob2ob2obo5bo5b3obo4b2obo2b2obo6bo3bo2bob3ob2o5bo4b
2ob2o3b2o4b2ob3obo4b2o3bo$2o2b4o3b3o2bob3o2b2o3b3o2b2ob3obo6bo3bob3o5b
o2bo3b2o2bobo5b6ob2o2b5o2b6o3bo2bobob2o2b2o2bo2b2obo2bo2b2o3bo4b3obo3b
obo2b2ob2obo2bo4b4obob2o2bobo5b2ob5o3bo2b6obobobobobo3b2obobo3b2obobob
3ob2obobob2ob5ob2o2bobob2o4b3o$2o3b2obob2ob2obo2bo3bob2obo2bob3o2bobo
3bobo3b2ob2obobo4bob3o3b6ob3o2b2o2bobobobobobo2b3obo7bo3b2obob5ob5o5bo
2bo3b4obobob4obob2o2b2obob3o2b2obob2o2b4o2bob2obo2b3o4b3ob2ob4obo2bo2b
o2b5o2bobo5b3ob2ob2ob3o6bo5bob3obo2bo$ob4ob2o2b4obo2bo4bo6b4ob2o2bobo
3b5obo3bo4bo2b5o2bo2bobob2o6b3o2bo2b2o3bobo3bo2b2o2bo2b2o2b2o4b2ob3o2b
obo2bo4bob9obo4b2obo3bo4b3ob4o3b2o2b2obobo2bo6b3obo2b3obobo4b4o4bobobo
bo4b3ob2o3b2o3b3o3b3o3bob3o2bo$2ob2obo4bo2bobo2b2o3bo2bo2bo2b2obo2bob
2ob2obo3bobobob3o2b4ob2ob2ob3ob2o5bo3bobo2b5o2b2o2b3obobobobob3ob7o2b
5ob5obobo6bob2obob2o2bo3bob2o2bo4bo4b2ob2o2bob3ob6o2bobo2bo4b5obobo2bo
4b2o2bo6bobo5bob4o2b2o2b2obo3bo3b2obobo$2obob4o2b5o2bob2o5bo3b3ob3o2b
2ob2obo2b2ob3o2b3obob3o4bobobo2bob2o4b3o2bobob3obob2o2b2ob3ob5obob2obo
2b3o2b4o3b3o4b4o2bo2b2obobo6bobobobo4bo2bo2bo2bo2b5obobo2b2obo3b3obob
2o3bob2o3bo2b2o4b2ob2o4bob2ob2obobobobo2b3o2bo2bo2b2obo$bob2obo2b3o2bo
4b2obob2o2bobo3b7ob4o8bobo2b4o3bo2b2o2bob3obobo2b4o2bo2bo5bobobo2b3o2b
2o2b4o2bob6ob4obobob2ob2o3b3o2b3o2bo3bob3obob2o3bo2bo3bo2bob2o2bob3o2b
ob3o3bo3bo4bob2ob3o2bob2o2bobob8o2b3o3bobo4bobobo2bo3bob4obo$2bobob2ob
obo2bobob2ob3ob5ob3o4bob2obobo2bob2o2b6ob3o2b2ob4obo2bo2b2o2bobo2bob2o
bo2bo2b3o3b3o4b3ob2o5bob2o2b3ob2ob2o2bobo4b3o5bo4bob2obob5ob4ob2obob7o
7bobobo5b2o2bob9ob4o2b2ob2ob2obo3b2obob4o3b3obob2o3bo3bo3bo$bobob3o2b
2o3bobob2ob3o3bo6b3o2bob2obob2o4bobob2o2bobob6obobo3bo2bo2b2o2b4o3bob
4o3b5o2bob2ob4obo2bo2bobo3bobo2b3obob2ob4o2b5ob3o2bo4b2obob3ob2o3b3o2b
6ob6obo3bo2bo4bo4b2o6b6o2b4o5bo3b6o2b3obo2bob2o3bo2b2o$4ob2o3bo2b2ob2o
bob2o2b2obobob3o2b3o3b2o2b4ob3obo2bo2bo3b3o2bobo6bobo3b2o2b2o3bobo2b2o
3b2o4b2obobob2ob2o2bobo2bobobob3obo2b3o5b3o2b3o3bobo3bo2b2ob2o2bobob6o
b3o5b2o5b3obob2ob2ob2o3bob9ob3obo4b6o3b2obob3obobob2ob4ob2o$4bo4bo3b6o
2b3o2b5ob3o5bo2b3o2b2obobo3b5ob2o6bob5o4b4obob4ob2obo3b2o2bob3o3bobo2b
2o4bobo5bob3o3bo2b3ob5o2bob2obo2b4ob3o2b3o3bob3o6bo2b3ob4o4bobo2b3ob2o
2b2o3bo2bo2b3ob2o4bo2bo2bo4bo3bobobo3bobobo2bob3o2bo$2ob2o3b3obo3bobob
obo2b2o2b2obobob2obobo2bobo7bob2obo2bob3obo3b2o3bob5o3bobob3ob6o2bobob
o2b2obo3b3obobo2bo2bo2bob3o2b3obob2o3bobob5obob2o4bo2bobo2b2o2b2ob3ob
3obo7b3ob2ob2obobob3obobo2b2o2b3o2bo2b2ob3o3bobob4o2b3o2b2obo2bob2o3b
2obo$o2b2obo6b2o2b3ob4ob3o5b2o2bobob7o6b2obobo2b2o2bo3b3obo2b2o4b3o2bo
5bo2bo2bo3bo2bob3o2bo2b2ob2ob3obobobo3b2obo2b3o2b5ob3o2bo2bo2b2o3bobob
3o7bob2o4bobo3b5o2bo4bo4bo5bobo3b2obo3bo2b2o4b3o2bo2bo2bobo3bob3obob2o
3bob2o$3bobo2b2o3b8o2bob2o2bob3o2b5o5bo3bob2o2bob4ob2obob2o2bob2o2b2o
2b2ob2o7bob2o4b2ob5obob4o5b2obob2o2bob6ob3o3bobobob5o3bob5o2b2obobo2b
3ob4ob2ob5o3bo3b2ob3o2b2obobo3b3o3bobob2o5b2o2bob4obobo4bob4o2bob4obo
4b2o$ob2o3bo3bob7obo2bo2b2o3bob2o2bo3bo2b2ob3ob3ob3obo2b2o3b3ob4o2bobo
b4ob2obob2o3b2obob3ob2obob2o5b4obo3b2o2b4ob2ob3o2bo6b5o2bo2b5ob3o4b3ob
2obobob4ob2o2b5o5bo2b6obo2b2o2bob2o3bo3bob2ob3o2b5obo7bo2bo4b3o3b5o!
Blobby rule, but with a diamond-shaped blob.
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A for awesome
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » May 18th, 2017, 6:32 pm

Code: Select all

x = 6, y = 7, rule = B3-y/S2-i34q
2o2b2o$2obobo$4bo2$4bo$2obobo$2o2b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Rhombic
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Rhombic » May 19th, 2017, 6:39 am

Code: Select all

x = 22, y = 15, rule = B36a/S2-i34t5ei
$8bo$7bobo5$4b2o$3b4o$6bo$6bo3b2o$5bo4bobo$13bo$10bobo$10b2o!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by GUYTU6J » May 20th, 2017, 9:42 am

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o
21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!
Removed for swansong, Moosit

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by A for awesome » May 20th, 2017, 11:26 am

GUYTU6J wrote:

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o
21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!
Finite form:

Code: Select all

x = 29, y = 29, rule = B3aijkr4acity5iqry678/S23-cjkq4city
12b2o$12b2o9$13b3o$13bobo$13bobo11b2o$10b3o3b3o8b2o$10bo7bo$2o8b3o3b3o
$2o11bobo$13bobo$13b3o9$15b2o$15b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Rhombic » May 21st, 2017, 9:41 am

Is this the smallest p5 rotor (4 cells)?
https://catagolue.appspot.com/object/xp ... -aejkn4krz
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Kiran » May 21st, 2017, 12:32 pm

Rhombic wrote:Is this the smallest p5 rotor (4 cells)?

Code: Select all

x = 3, y = 3, rule = 23/4/5
.A$A.A$.A!
You are probably asking about the smallest p5 rotor in a two-state, isotropic, non-totalistic rule.
Obviously, p5 rotors in those rules cannot have 1 or 2 cells.
The three cell case is harder to prove.
For a three cell rotor, there are several different configurations:

Code: Select all

x = 26, y = 3, rule = B/S012345678
o16bo$2o3b3o3b2o5bo5bo$13bo5bo3bobo!
The last four are essentially equivalent in totalistic rules, and probably analogous in some way in non-totalistic rules.
I guess a proof would have to go over all of them and reach a contradiction for each one.
Kiran Linsuain

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by gameoflifemaniac » May 21st, 2017, 12:48 pm

GUYTU6J wrote:

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o
21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by AbhpzTa » May 21st, 2017, 2:23 pm

Kiran wrote:
Rhombic wrote:Is this the smallest p5 rotor (4 cells)?

Code: Select all

x = 3, y = 3, rule = 23/4/5
.A$A.A$.A!
You are probably asking about the smallest p5 rotor in a two-state, isotropic, non-totalistic rule.
Obviously, p5 rotors in those rules cannot have 1 or 2 cells.
The three cell case is harder to prove.
For a three cell rotor, there are several different configurations:

Code: Select all

x = 26, y = 3, rule = B/S012345678
o16bo$2o3b3o3b2o5bo5bo$13bo5bo3bobo!
The last four are essentially equivalent in totalistic rules, and probably analogous in some way in non-totalistic rules.
I guess a proof would have to go over all of them and reach a contradiction for each one.
3-cell p5 rotor, 2-state, totalistic rule(B568/S12346):

Code: Select all

x = 4, y = 3, rule = B568/S12346
3o2$4o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by _zM » May 21st, 2017, 3:29 pm

That raises the more general question: What is the smallest rotor for a given period n in a 2d, 2-state, istotropic, Moore neighborhood? A lower bound is obvously log2 n, but is this bound always reachable? What about symmetrical rotors?
Creator of multiple rules that may or may not be what you'd expect

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » May 21st, 2017, 3:56 pm

_zM wrote:That raises the more general question: What is the smallest rotor for a given period n in a 2d, 2-state, istotropic, Moore neighborhood? A lower bound is obvously log2 n, but is this bound always reachable? What about symmetrical rotors?
The minimum size will always be x where x yields the next highest power of two for 2^x. There's most likely more to it that I'm missing.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by AbhpzTa » May 22nd, 2017, 3:54 am

p152 reflectorless rotating oscillator:

Code: Select all

x = 3, y = 4, rule = B34y/S2-i3
3o$2bo$obo$bo!

Code: Select all

x = 14, y = 16, rule = B34y/S2-i3
bo$obo$o$3o9$11b3o$13bo$11bobo$12bo!
p108 reflectorless rotating gun:

Code: Select all

x = 21, y = 13, rule = B3-q5c8/S2-c34i6a
3bo$3bo$3bo14b2o$3o16b2o$2ob2o13b2o$2o14bo$16bo$3bo12bo$3b2o$3bobo$2bo
3bo$3bobo$4bo!

Code: Select all

x = 28, y = 32, rule = B3-q5c8/S2-c34i6a
23bo$22bobo$21bo3bo$22bobo$23b2o$11bo12bo$11bo$11bo14b2o$8b2o13b2ob2o$
7b2o16b3o$8b2o14bo$24bo$24bo7$3bo$3bo$3bo14b2o$3o16b2o$2ob2o13b2o$2o
14bo$16bo$3bo12bo$3b2o$3bobo$2bo3bo$3bobo$4bo!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

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Rhombic
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Rhombic » May 22nd, 2017, 8:27 pm

Tiny xp100, replicator and replicator-based spaceship

Code: Select all

x = 57, y = 47, rule = B2ei3-jn/S2-i3
29b2o$29b2o$29bo$30bo$31bo20$2o2b2o11b2o4bo6bo9bo9bo$bo2bo16b2ob2o2b2o
b2o5b2ob2o5b2ob2o$2o2b2o11b5o3bo2bo3bo5bo3bo5bo3bo$bo2bo16b2ob2o2b2ob
2o5b2ob2o5b2ob2o$2o2b2o11b2o4bo6bo9bo9bo14$17bobo3bobobobo3bobobobo3bo
bobobo3bobo$17bobo3bo5bo3bo5bo3bo5bo3bobo$16bo4bo9bo9bo9bo4bo$17bobo3b
o5bo3bo5bo3bo5bo3bobo$17bobo3bobobobo3bobobobo3bobobobo3bobo!
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drc
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by drc » May 22nd, 2017, 11:47 pm

Rhombic wrote:Tiny xp100, replicator and replicator-based spaceship

Code: Select all

x = 57, y = 47, rule = B2ei3-jn/S2-i3
29b2o$29b2o$29bo$30bo$31bo20$2o2b2o11b2o4bo6bo9bo9bo$bo2bo16b2ob2o2b2o
b2o5b2ob2o5b2ob2o$2o2b2o11b5o3bo2bo3bo5bo3bo5bo3bo$bo2bo16b2ob2o2b2ob
2o5b2ob2o5b2ob2o$2o2b2o11b2o4bo6bo9bo9bo14$17bobo3bobobobo3bobobobo3bo
bobobo3bobo$17bobo3bo5bo3bo5bo3bo5bo3bobo$16bo4bo9bo9bo9bo4bo$17bobo3b
o5bo3bo5bo3bo5bo3bobo$17bobo3bobobobo3bobobobo3bobobobo3bobo!
Looks very interesting. A bigun:

Code: Select all

x = 5, y = 16, rule = B2ei3-jn/S2-i3
4bo$3bo$2bo$2b2o$2b2o7$b2o$b2o$2bo$bo$o!
--

A fun little rule with huge methuselahs and a 182c/3468 switch engine:

Code: Select all

x = 18, y = 2, rule = B35y/S2-n36ci
bo14b2o$3o14bo!

Code: Select all

x = 25, y = 25, rule = B35y/S2-n36ci
14b2o$14b2o8$2o$2o4$13bo3bo5b2o$12b2o3b2o4b2o$15bo$12bo5bo6$9b2o$9b2o!

Code: Select all

x = 48, y = 27, rule = B35y/S2-n36ci
32b2o$32b2o$14b2o$14b2o6$46b2o$46b2o$2o$2o2$29bobobobo$28bob2ob2obo$
13bo3bo11bobobobo$12b2o3b2o$15bo$12bo5bo4$37b2o$37b2o$9b2o$9b2o!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by bprentice » May 23rd, 2017, 7:52 am

Code: Select all

x = 35, y = 6, rule = b2eai3knq4enqj5yqj6ek8/s2a3kqj4nqz5eyj8
A$.A$3.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$2.A.A3.A3.A3.A3.A3.A3.A3.A.A
$2.A.A3.A3.A3.A3.A3.A3.A3.A.A$3.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A!

Code: Select all

x = 37, y = 26, rule = b2eai3knq4enqj5yqj6ek8/s2a3kqj4nqz5eyj8
.A.A3.A3.A$A5.A.A.A.A$4.A.A.A.A.A$3.A3.A3.A8$.A.A3.A3.A3.A3.A$A5.A.
A.A.A.A.A.A.A$4.A.A.A.A.A.A.A.A.A$3.A3.A3.A3.A3.A8$.A.A3.A3.A3.A3.A
3.A3.A3.A3.A$A5.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$4.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A$3.A3.A3.A3.A3.A3.A3.A3.A3.A!
See more patterns from this rule here:

viewtopic.php?f=11&t=2792#p43717

Brian Prentice

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Rhombic
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Rhombic » May 23rd, 2017, 6:23 pm

Rake anyone?

Code: Select all

x = 16, y = 16, rule = B3-q4q/S2-i3-n4a
oobbooooobboobbo$
oboboobbbboboobo$
booobboobbbbbbbb$
ooobboboboobbobo$
oobbbbobbbobbooo$
ooooobbbobbboboo$
booboobobbobbooo$
obobbbbooboobboo$
oooobbbbbbbobobb$
oobbbbbobobbbobb$
obbbboobbooobbob$
oobbbobbbobobbbo$
obobbbboooobbobo$
bbboobbbbobbobbb$
obbooboobbbooobb$
bobobbbbobbooooo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by Rhombic » May 24th, 2017, 12:14 pm

(3,1)/7

Code: Select all

x = 7, y = 6, rule = B2ek3ijq4-acjnr6a7/S012cek3a5j
5b2o2$3bo$o2bo$2obo$3o!
----
Related rule.
natural xq14

Code: Select all

x = 6, y = 6, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j
3b3o2$o3$3bo!
predecessor:

Code: Select all

x = 3, y = 4, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j
b2o3$3o!

Found by luck with a natural puffer and a primitive script:

Code: Select all

x = 8, y = 5, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j
5b2o$3bo2bo$3b2o2bo$o2bo2bo$5b2o!
Last edited by Rhombic on May 25th, 2017, 7:49 pm, edited 2 times in total.
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Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Post by 83bismuth38 » May 24th, 2017, 10:00 pm

fascinating rule with many common ships:

Code: Select all

x = 50, y = 8, rule = B34z5-n/S234iz5y
37bo$29bo6bo$21bo6bo7bo$20bo7bo7bo10bobo$9b2o9bo7bo7bo10bobo$bo9bo8bo
7bo7bo10bobo$o7bo11b3o5b3o5b3o8b3o$3o5b3o10bo7bo7bo!
EDIT: one time glider track:

Code: Select all

x = 4, y = 66, rule = B34z5-n/S234iz5y
2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o
$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b
2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o2$bo$2o$obo!
EDIT 2: block cleaner:

Code: Select all

x = 14, y = 79, rule = B34z5-n/S234iz5y
12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o
$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b
2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o2$
11bo$10b2o$10bobo6$bo$3o$o$o$o$o$o$bo!
EDIT 3: AOWSS stabilized in a bounded grid:

Code: Select all

x = 9, y = 8, rule = B34z5-n/S234iz5y:T12,0
3o3b3o$obo3bobo$b3ob3o$b3ob3o$b3ob3o$b3ob3o$b3ob3o$b2o3b2o!

Code: Select all

x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!
No football of any dui mauris said that.

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