B3/S345

For discussion of other cellular automata.
hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 »

could someone help me find a period for these?

Code: Select all

x = 117, y = 41, rule = B3/S345
11$62bo17bo$62b2o15b2o$62b2o15b2o$60bobo2bo11bo2bobo$58b8ob3o3b3ob8o$
14b2o15b2o25b2o5b3obo3bob3o5b2o$14b2o15b2o27b6o2b3ob3o2b6o$12bobo3bobo
5bobo3bobo25b2obo3b2o5b2o3bob2o$10b8ob2o5b2ob8o31b2o3b2o$10b2o5b3obo3b
ob3o5b2o29bobobobobobo$12b6o2b2o3b2o2b6o29b7ob7o$12b2obobob2o5b2obobob
2o29b2obob2ob2obob2o$17b2ob2o3b2ob2o35bobo2bobo2bobo$17b2obo5bob2o35b
6ob6o$16b2ob3o3b3ob2o35bo3bobo3bo$17bobobo3bobobo35b2ob2o3b2ob2o$17bo
3bo3bo3bo35bob2o5b2obo$16b2ob4ob4ob2o35bobo5bobo$16b3o2bo3bo2b3o34b2ob
2o3b2ob2o$18b2ob2ob2ob2o37bobo5bobo$18b2ob2ob2ob2o36b2ob2o3b2ob2o$65b
2ob2o3b2ob2o!
User avatar
Macbi
Posts: 918
Joined: March 29th, 2009, 4:58 am
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Re: B3/S345

Post by Macbi »

You can do this in Golly by running the script called "oscar". They have periods 300 and 932.
User avatar
BlinkerSpawn
Posts: 1993
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: B3/S345

Post by BlinkerSpawn »

Reductions:

Code: Select all

x = 61, y = 20, rule = B3/S345
3b3o15b3o13b3o15b3o$4b3o13b3o15b3o13b3o$2bobo17bobo11bobo17bobo$8ob2o
5b2ob8o7b8ob2o5b2ob8o$2o2bobob2obo3bob3o2bo2b2o7b2o2bo2b3obo3bob3o2bo
2b2o$10b2o3b2o27b2o3b2o$10bo5b2o25b2o5b2o$7b2ob2o3b2obo25b2o3b2o$7b2ob
o5bob3o23bo5bo$6b2ob2o5b2ob2o22b2o5b2o$7bobo7bobo23bo7bo$7bo2bo5bo2bo
22b3o5b3o$6b2ob4ob4ob2o22b2o5b2o$6b3o2bo3bo2b3o21bo9bo$8b2ob2ob2ob2o
21b3ob2o3b2ob3o$8b2ob2ob2ob2o21b2ob4ob4ob2o$44bo5bo$44b2o3b2o$43b2o5b
2o$43b2o5b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 »

here is a neat example of chaos in life

Code: Select all

x = 49, y = 57, rule = B3/S345
6$22b2o2bo2b2o$21bob7obo$21b2o2bobo2b2o$19b2obob2ob2obob2o$4bo2b2o9bob
6ob6obo$4bo2bo10b2obo9bob2o$4bo3bo10bob2o7b2obo$4bo2b2o9b2obo9bob2o$
18bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b2o
8$22b2o2bo2b2o$21bob7obo$21b2obo3bob2o$19b2obob2ob2obob2o$5b2o4b2o5bob
6ob6obo$6bo4bo6b2obo9bob2o$5bo5b2o6bob2o7b2obo$6bo4b2o5b2obo9bob2o$5b
2o11bob6ob6obo$19b2obob2ob2obob2o$21b2o2bobo2b2o$21bob7obo$22b2o2bo2b
2o!
hought99
Posts: 39
Joined: October 8th, 2014, 9:02 pm

Re: B3/S345

Post by hought99 »

some high period oscillators

Code: Select all

x = 1457, y = 623, rule = B3/S345
89$1273bo3bo3b2o21bo3b2o2bobo$1273bo3bo2bo2bo20bo3bo3b3o$1157b2o4bo30b
2o4bobo30b2o4b2o32bo3bo2bo2bo20bo4bo4bo$1156bo2bo3bo29bo2bo3b3o30b2o3b
o2bo31bo3bo3b2o21bo3b2o4bo$1157b2o4bo30b2o6bo31bo3bo2bo$1156bo2bo3bo
29bo2bo5bo30b2o4b2o$1157b2o35b2o2$1306b2ob2o$1194b2ob2ob2ob2o101b2ob2o
$1194b2ob2ob2ob2o99b2obobob2o$1195bob2ob2obo100b3o3b3o$1195b2obobob2o
70b2ob2ob2ob2o17b2obo5bob2o$1196b3ob3o71b2ob2ob2ob2o17b4o5b4o$1196bobo
bobo72bo2bobo2bo20bobo3bobo$1195b4ob4o32b2ob2o31b7ob7o17b2o5b2o$1115b
3o3b2o72bo2bobo2bo32b2ob2o31b2obo2bobo2bob2o16b2o2bobo2b2o$1086b3o3b2o
21bobo3bo72b4o3b4o29b2obobob2o28b2o2bob2ob2obo2b2o16bob2ob2obo$1086bob
o3bo24bo3b2o71bo2b2ob2o2bo29b4ob4o29bob2o2bobo2b2obo16b2o2bobo2b2o$
1060b3o3bobo19bo4bo23bo3b2o70b2ob2o3b2ob2o27b2o2bobo2b2o27b2obo9bob2o
16bob2ob2obo$981b2o3bo19b2o3b2o17b2o3bobo22bobo3b3o19bo3b2o59b2o17b2o
20bo2b2ob2o2bo28bob3ob3obo27b6o5b6o15b2o2bobo2b2o$981bo4bo19bo5bo17bo
4b3o24bo5bo84b4ob2ob2ob2ob2ob4o20b4o3b4o29bob2ob2obo61bob2ob2obo$949b
2o3b2o25b2o3bo19b2o3bo18b2o5bo24bo5bo83b2o2b4ob2ob2ob4o2b2o20bob2ob2ob
o29b2obo3bob2o25b3ob3o7b3ob3o13b2ob2ob2ob2o$915b2o4b2o26bo3bo2bo24b2o
3bo19b2o3b2o17b2o5bo114bob3o2bob2ob2obo2b3obo20bo2bobo2bo25b2obobob2ob
2obobob2o21b6o9b6o14b4ob4o$646bobo3b2o261bo4bo2bo25b2o2bo2bo193b2ob2ob
4ob2ob2ob4ob2ob2o17b2ob2ob2ob2o22b3ob4ob2ob2ob4ob3o53b2o7b2o$554bobo3b
o85b3o3bo15bobo179b2o3b2o20b2o3b3o31bo4b2o26b2o3b2o194b3obobobobobobob
obobobob3o18bobo3bobo23b2o2bo4b2ob2o4bo2b2o19b6o9b6o14b4ob4o$554b3o3bo
19bobo2b2o19b2o16bobo3bobo15bo4bo14b3o4b2o147b2o3bobo18bo4bo21bo4bobo
30b2o3bo2bo229b2obobobobobobobobob2o20b2ob2ob2ob2o23bobob2o2bo3bo2b2ob
obo20b3ob3o7b3ob3o13b2ob2ob2ob2o$195b2o3b2o245b2o2b3o21b2o3b2o74bo3bo
19b3o3bo14bobo3bo16b3o3b3o15bo3b2o16bo4bo148bo4b3o19bo3b2o21bo5bo36b2o
227b2obob2o2bob2ob2obo2b2obob2o18bobo3bobo24b5o11b5o55bob2ob2obo$196bo
2bo2bo75b2o2b2o101b2o3b2o23b2o31bo2bobo22bo2bo2bo73bo3bo21bo2bo15b3o2b
o19bo5bo37bo4b2o148bo5bo18b2o3b2o20b2o5bo94b2ob2ob2ob2o129b2o3b2o24b3o
2b8ob8o2b3o18bob2ob2obo23b2o19b2o21b6o5b6o15b2o2bobo2b2o$195bo3bo2bo
76bo3bo102bo3bo25bo3b2o25bo5bo21bo4b2o22b2o3b2o71bo2b2o16bo3bo18bo5bo
42b2o40bobo4b2o19b2o2b2o17b2o3bo50b2o5bo147b2ob2ob2ob2o73bo55b2o3b2o
68b4o3b4o23b5o11b5o22b2obo9bob2o16bob2ob2obo$196bo2bo2bo75bo3bo71b2o3b
obo23bo5bo23bo4bo27bo4bo22bo2bo2bo22bo3b2o15bobo2b2o70bo2b2o109b3o3bo
2bo18bo2bo2bo16bo4bo21b2o3b2o178b2obobob2o16b2ob2ob2ob2o17b2o5b2o19b5o
24b2ob2o23b2o5b2o23b3o2b8ob8o2b3o17bo2b2ob2o2bo23bobob2o2bo3bo2b2obobo
23bob2o2bobo2b2obo16b2o2bobo2b2o$195b2o3b2o45b2o3bo26bo2b2o71bo3b3o24b
o3b2o24bo3b2o25b2o26b2o3b2o22bo5bo15b3obo2bo159bobo2b3o18bo4b2o20bobo
2bo17bo3bo21bo5bo177b2ob2ob2ob2o15b2ob2ob2ob2o13b2o2b2o5b2o2b2o14bobob
obo19b2o2b2ob2o2b2o15b2obob2o3b2obob2o19b2obob2o2bob2ob2obo2b2obob2o
16b2ob2o3b2ob2o21b2o2bo4b2ob2o4bo2b2o21b2o2bob2ob2obo2b2o16bob2ob2obo$
248bo3bo25b2o21b2o3b2o46bo6bo23b2o28b2o3b2o83bo3b2o17bobo2bo159b3o2bob
o18bo3bo2bo18b2o2b2o17b2o3bo22bo3bo178bo2bo3bo2bo14b2obobobobob2o12b4o
b2o3b2ob4o14b2o3b2o19b2o3bobo3b2o15b4obobobobob4o22b2obobobobobobobobo
b2o20bo2b2ob2o2bo22b3ob4ob2ob2ob4ob3o22b2obo2bobo2bob2o16b2o2bobo2b2o$
247bo4bo49bo4bo47bo5bo142b2o22bo2b2o162bo4bo23b2o69b2o3b2o175b2ob3o3b
3ob2o13bob2o3b2obo14bobobo5bobobo14b2obobob2o17b2ob4ob4ob2o16bo2b2o3b
2o2bo21b3obobobobobobobobobobob3o17b4o3b4o24b2obobob2ob2obobob2o24b7ob
7o17b2o5b2o$248bo3bo48bo4bo47b2o339bo4bo151b2o3b2o57b2ob2ob2ob2o50b4o
7b4o12b4o5b4o12b2ob4o3b4ob2o14b2o3b2o13bobobobobob2ob2obobobobobo9b2ob
2ob2ob2ob2ob2o19b2ob2ob4ob2ob2ob4ob2ob2o18bo2bobo2bo29b2obo3bob2o31bo
2bobo2bo20bobo3bobo$247b2o53bo4bo140b2o5b2o126bo85b2o3b2o176b2o3b2o57b
2ob2ob2ob2o20bo17bo10b2o2bo7bo2b2o11bo2bo5bo2bo13b2o3bo3bo3b2o14bob2ob
2obo10b6obo2bobo3bobo2bob6o7b4obo5bob4o21bob3o2bob2ob2obo2b3obo20b4ob
4o30bob2ob2obo31b2ob2ob2ob2o17b4o5b4o$301b2o3b2o140b2o5b2o101b2o3b2o
18b3o18b2ob2o39b2o5b2o12b2o3b2o149b2o5b2o19b2ob2o19b2ob2ob2ob2o29bob2o
b2obo21b3o13b3o11bobo9bobo13bob2o3b2obo13bob5o3b5obo13b2o5b2o10b2o2bob
5ob2ob2ob5obo2b2o10bob2o3b2obo24b2o2b4ob2ob2ob4o2b2o21bobobobo30bob3ob
3obo30b2ob2ob2ob2o17b2obo5bob2o$449b2o3b2o22b2ob2o75b2o3b2o15b4obo18b
2ob2o39b2o5b2o11b2o5b2o148b2o5b2o19bo3bo19b2ob2ob2ob2o28b2o2bobo2b2o
19b3o2bo9bo2b3o10b4o7b4o12b2obo5bob2o12b2ob3o5b3ob2o14b2o3b2o16b2obo2b
2o3b2o2bob2o12b2o3bo5bo3b2o22b4ob2ob2ob2ob2ob4o22b3ob3o30b2o2bobo2b2o
60b3o3b3o$197b2ob2ob2ob2o66b2o9b2o161b2o5b2o21b2ob2o74b2o5b2o15bo2b3o
11b2o5bobo5b2o10b2ob2ob2ob2o10b2ob2o3b2ob2o8bobo5bobo41b2o5b2o95b2ob2o
3b2ob2o16b2o3b2o19bob2ob2obo29bob2o3b2obo16b2o3bob2o9b2obo3b2o6b2o13b
2o12bobo5bobo14bobo9bobo15bobobobo16bo3bo9bo3bo12b3obo7bob3o22b2o17b2o
21b2obobob2o30b4ob4o61b2obobob2o$197b2ob2ob2ob2o66b2o9b2o162b2o3b2o19b
2ob2ob2ob2o20bobo20b2ob2o24bo5bo15b2o2bo13b2o2b3o3b3o2b2o10b2ob2ob2ob
2o10b2obo5bob2o6b6o3b6o13b2ob2ob2ob2o15b2o5b2o95b2obo5bob2o16bo5bo18b
2o2bobo2b2o27b5o3b5o15b8obo7bob8o7b4o7b4o12b2ob2o3b2ob2o12b2ob3o5b3ob
2o13b4ob4o127bob2ob2obo30b2obobob2o63b2ob2o$198bob2ob2obo68b2obobobob
2o128b2ob2o5b2ob2o20bo5bo19b3o5b3o18b7o18b2ob2o24b2o3b2o14b2ob4o14b3ob
o3bob3o13bo2bobo2bo14bo5bo9b2o4bobo4b2o13b2ob2ob2ob2o13b2ob2o3b2ob2o
36b2o2bo2bo2bo2b2o16b2o2bo2b2o15b2obob3ob3obob2o13b2o5b2o17bob2o3b2obo
21b2o2b3obo7bob3o2b2o11b2o2bob2o7b2obo2b2o9bobo9bobo13b2o2bobo2b2o13bo
b5o3b5obo13bob2ob2obo15bo3bo9bo3bo12b3obo7bob3o63b2ob2ob2ob2o31b2ob2o
65b2ob2o$197bobobobobobo38b2o2b2ob2o2b2o15b2ob7ob2o67b2o7b2o20b2o9b2o
16b2ob2o5b2ob2o19b2o5b2o22bobo22b2o3b2o15b2ob2ob2ob2o18b2obo5bob2o13b
2obo11b3obobo7bobob3o7bob4ob4obo9b5o3b5o8b5ob5o13b3obo5bob3o10bob3o5b
3obo35b15o12b2obob7obob2o11b5ob2ob2ob5o13bo7bo16b2obo5bob2o20b5obo11bo
b5o15b2ob4ob4ob2o12b2o2bo7bo2b2o11bo3b2ob2o3bo13b2o3bo3bo3b2o13b2o2bob
o2b2o14b2obo2b2o3b2o2bob2o12b2o3bo5bo3b2o63b2ob2ob2ob2o31b2ob2o$197b5o
b5o38b2o2b2ob2o2b2o16bobobobobobo15b2o5b2o44b2o7b2o20b2o9b2o14b2obo2b
2o3b2o2bob2o13b2o2bo7bo2b2o12b5o5b5o14b2o2b3o2b2o13b3o5b3o18b2obo5bob
2o12b2o2b2o10b5ob2o5b2ob5o5b4o2b2ob2o2b4o7b2obo5bob2o6b2obo2bobo2bob2o
11b2ob2o5b2ob2o10b2o2bo5bo2b2o11b2ob2ob2ob2o11b2obobo2bobo2bobob2o10b
6obobob6o13bo2b3ob3o2bo13b2ob2o3b2ob2o10b2o2bo2bo5bo2bo2b2o18bob3o2b3o
b3o2b3obo18b3o2bobo2b3o14b4o7b4o12b4obobob4o12b2ob4o3b4ob2o13b4ob4o10b
2o2bob5ob2ob2ob5obo2b2o10bob2o3b2obo$198bob2ob2obo40b2obo3bob2o16b6ob
6o14b2o5b2o45bob2ob2obo22b2o7b2o15b3obobo5bobob3o13b7o3b7o12b2obo2bobo
2bob2o13bob4ob4obo14bo5bo21b4o3b4o14b2obo17bobo3bobo11b2ob3o5b3ob2o5b
2obob2o3b2obob2o4b4obo3bob4o12bobobo3bobobo9b2ob4o5b4ob2o9b2ob2ob2ob2o
11b4ob4ob4ob4o9b2o5b2ob2o5b2o12b5o3b5o13b6ob6o10b4ob4o3b4ob4o20bo4b3ob
3o4bo20bo2b3ob3o2bo14b2ob3o3b3ob2o13bob3ob3obo14bobobo5bobobo13bo3bobo
3bo9b6obo2bobo3bobo2bob6o7b4obo5bob4o$198bob2ob2obo40bo2b2ob2o2bo15bo
2bo7bo2bo11b2ob2o3b2ob2o43bob2ob2obo22bo9bo22b2ob2o21bobo2bo3bo2bobo
16b2o5b2o16b2o3bobo3b2o10b6o3b6o17bo3bobo3bo12b2ob4o10b6o2b2ob2o2b6o7b
o2b2o3b2o2bo7b7o3b7o8bobobobo15b2ob4ob4ob2o8b4ob2o5b2ob4o10bo7bo15bob
3o3b3obo13b2obo2bo3bo2bob2o14bobo5bobo15bo3bobo3bo14bobo9bobo61b2o2bob
o2b2o17bo2bo3bo2bo14b2obobobobob2o12b4ob2o3b2ob4o12b3obobob3o11bobobob
obob2ob2obobobobobo9b2ob2ob2ob2ob2ob2o63b2o2b2ob2o2b2o$197b2o2bobo2b2o
38b6ob6o14b3obo5bob3o11b2ob2o3b2ob2o42b2o7b2o20b2o9b2o16b5o5b5o15b2obo
b2o3b2obob2o15bo2bobo2bo17b2o7b2o11b2obo7bob2o15b6o3b6o11b2o2bo11b4o4b
2ob2o4b4o5b4o9b4o11b2ob2o10b2ob2o5b2ob2o11b4ob2ob2ob4o12b2o7b2o13b2o7b
2o11b2obo11bob2o10bobobobo3bobobobo14b2o7b2o15b3obobob3o11b3o2bobo5bob
o2b3o20bo4b3ob3o4bo22bo2bobo2bo18b2ob2ob2ob2o15b2ob2ob2ob2o13b2o2b2o5b
2o2b2o13bob2ob2obo17b2ob4ob4ob2o16bo2b2o3b2o2bo65b6ob6o$198bob2ob2obo
40bo9bo14b2obo2bo3bo2bob2o9b2ob2obobob2ob2o40bob3o3b3obo20b4o3b4o17b4o
7b4o16b5obobob5o14b5o3b5o14b2obo5bob2o13b4ob4o18b2obob2ob2obob2o12bo2b
3o35b2o2bo7bo2b2o5b3obo2bobo2bob3o4b4o7b4o13bo2b2ob2o2bo10b6o7b6o9bo9b
o11b4o11b4o9b2ob5o3b5ob2o14bo7bo17bob2ob2obo12b9o3b9o18bob3o2b3ob3o2b
3obo19b2ob2ob2ob2o18b2obobob2o16b2ob2ob2ob2o17b2o5b2o17bobo3bobo18b2o
3bobo3b2o15b4obobobobob4o65bo7bo$198bo2bobo2bo40b4o3b4o15bobob2o3b2obo
bo11b2o2b2ob2o2b2o41b2ob2o3b2ob2o20bob2o3b2obo48bo3b2o3b2o3bo14b2obobo
bobob2o15bobo5bobo14bo2bobo2bo19bo2bobobobo2bo12b4obo10b4o4b2ob2o4b4o
27b8ob8o32b3obobob3o10b3o13b3o10bo7bo40b4obo7bob4o14b2o5b2o17bobo3bobo
49b5obo11bob5o17b2ob2ob2ob2o17b2ob2ob2ob2o68b2ob2ob2ob2o17b2o2b2ob2o2b
2o15b2obob2o3b2obob2o65b2o5b2o$197b2ob2ob2ob2o40bo7bo16b2obo2bobo2bob
2o10b2ob2obobob2ob2o41bob2o3b2obo19b4obo3bob4o15b4o7b4o15b6o5b6o17b5o
19b3o5b3o13b2ob2ob2ob2o17b2o2b3ob3o2b2o14b3o10b6o2b2ob2o2b6o5b2o2bo7bo
2b2o26b4o7b4o14bob2ob2obo39b2o7b2o11b4o11b4o41b2o7b2o15b2ob2ob2ob2o11b
9o3b9o16b2o2b3obo7bob3o2b2o45b2ob2ob2ob2o68b2ob2ob2ob2o21b2ob2o23b2o5b
2o68b2o7b2o$197b2ob2ob2ob2o40bo7bo17bob9obo12b3ob2ob2ob3o41b5o3b5o18b
2obo7bob2o15b5o5b5o15b2obob2o3b2obob2o19bo22bo7bo14b2ob2ob2ob2o17b3o2b
o3bo2b3o14bo18bobo3bobo11b4o9b4o5b8ob8o4b2ob2o5b2ob2o13b2o2bobo2b2o10b
3o13b3o10b2o5b2o12b2obo11bob2o9b4obo7bob4o14bob2ob2obo17bo2bobo2bo12b
3o2bobo5bobo2b3o22b5o3b5o191b2o3b2o70b2o5b2o$247b3o5b3o16bob2o2bo2b2ob
o11b2o2bo5bo2b2o40bobo7bobo19bob3o3b3obo21b2ob2o22b2o3bobo3b2o43b2ob2o
b2ob2o44bob2ob2obo30b5ob2o5b2ob5o7bo2b2o3b2o2bo7b3obo2bobo2bob3o8bobob
obo17bob3ob3obo10b6o7b6o9b2o7b2o14bob3o3b3obo12b2ob5o3b5ob2o14b2obobob
2o17bob2ob2obo15bobo9bobo26bob2o3b2obo192b2o3b2o69b2ob2ob2ob2o$247bobo
5bobo15b2o11b2o11b2obo5bob2o40b2ob3o3b3ob2o17b2ob2o5b2ob2o13b3obobo5bo
bob3o15bob4ob4obo43b2ob2ob2ob2o43b2ob2ob2ob2o29b3obobo7bobob3o5b2ob3o
5b3ob2o11b2ob2o10b4obo3bob4o14bo2bobo2bo15b2o7b2o13bob2o3b2obo11b4ob4o
b4ob4o10bobobobo3bobobobo14b2ob2ob2ob2o15b3obobob3o11b4ob4o3b4ob4o23b
2o2bobo2b2o264b2o3bob2ob2obo3b2o$245b4ob2ob2ob4o13b2o11b2o11b5o3b5o40b
2o2bo5bo2b2o17b4ob2ob2ob4o13b2obo2b2o3b2o2bob2o16b2ob2ob2ob2o98b2ob2ob
2ob2o33b3obo3bob3o9b4o2b2ob2o2b4o5b7o3b7o4b2obo2bobo2bob2o13b2ob2ob2ob
2o10b4ob2o5b2ob4o10bob2ob2obo12b2obobo2bobo2bobob2o10b2obo2bo3bo2bob2o
14b2ob2ob2ob2o15bo3bobo3bo11b2o2bo2bo5bo2bo2b2o24bob2ob2obo265b6o2bobo
2b6o$245b2o3b2ob2o3b2o41bo2bobo2bo44b2ob2ob2ob2o22bob2ob2obo18b2ob2o5b
2ob2o169b2o2b3o3b3o2b2o9bob4ob4obo7b2obob2o3b2obob2o6b5ob5o15b2ob2ob2o
b2o10b2ob4o5b4ob2o9b2ob2ob2ob2o13b15o11b2o5b2ob2o5b2o38b6ob6o14b2obo5b
ob2o27b2ob2ob2ob2o78b2ob2ob2ob2o176bobo2bobobobo2bobo$250b2ob2o48b2ob
2o46b2ob2ob2ob2o21b2o7b2o17b2ob2o5b2ob2o51b2ob2o113b2o5bobo5b2o11bo2bo
bo2bo11b2obo5bob2o6b2o4bobo4b2o36b2o2bo5bo2b2o12b2obobob2o14b2o2bo2bo
2bo2b2o12b6obobob6o39b2ob2o3b2ob2o15bob2o3b2obo28b2ob2ob2ob2o78b2ob2ob
2ob2o175b2ob3o7b3ob2o$302b2o3b2o77b2o7b2o83b2ob2o94b2ob2ob2ob2o14b2ob
2o16b2ob2ob2ob2o10b5o3b5o6b6o3b6o36bob3o5b3obo11b2ob2ob2ob2o40b2obob7o
bob2o41bo7bo17b2o2bobo2b2o118bo2bobo2bo177b3ob2o5b2ob3o$303b2ob2o169b
2obo3bob2o40b2ob2ob2ob2o40b2ob2ob2ob2o14b2ob2o16b2ob2ob2ob2o13bo5bo11b
obo5bobo39b2ob2o3b2ob2o12b2ob2ob2ob2o44b2o2bo2b2o45b2o5b2o18bob2ob2obo
119bob2ob2obo176b2o15b2o$303b2ob2o169b2ob2ob2ob2o40b2ob2ob2ob2o21b2ob
2o15bobo3bobo57b2obo5bob2o9b2o5b2o42b2o5b2o101b2ob2o18bo5bo18b2ob2ob2o
b2o117b3obobob3o176b3ob2o5b2ob3o$282bo192b2ob2obobob2ob2o15b2o5b2o15bo
7bo22b2ob2o14bob3ob3obo56b2ob2o3b2ob2o10b2o3b2o43b2o5b2o101b2ob2o18b2o
3b2o18b2ob2ob2ob2o117bo3bobo3bo175b2ob3o7b3ob2o$280b5o103b2o5b2o78b3o
9b3o15b2o5b2o14b2o7b2o15b2ob2ob2ob2ob2ob2o6b4o2bobo2b4o56b2o5b2o12b2o
3b2o150b2ob2ob2ob2o16bo3bo145b2ob4ob4ob2o174bobo2bobobobo2bobo$279bobo
bobo102b2o5b2o20b2o9b2o19b2ob2ob2ob2o16bob2o5b2obo17b2o3b2o15bo9bo15b
2ob3obobob3ob2o6b2obob2ob2obob2o56b2o5b2o169b2o2bobo2b2o16b2ob2o144bob
obob2ob2obobobo172b6o2bobo2b6o$279b2o3b2o103b2o3b2o21b2o9b2o19b5ob5o
15bob2obo3bob2obo16bo5bo16bo7bo15b2obo4bobo4bob2o7bob3ob3obo234b2o2b3o
b3o2b2o13b2o3b2o143b3obo2bobo2bob3o172b2o3bob2ob2obo3b2o$202bo41b2ob2o
b2ob2ob2ob2o17b2obobob2o101b2o5b2o21b2o7b2o21bo7bo16b2ob2o5b2ob2o15b2o
5b2o14b2o7b2o14b2ob6ob6ob2o7bobobobobobo13b2ob2ob2ob2o210b2o2bobobobo
2b2o13b2o3b2o144bob5ob5obo177b2ob2ob2ob2o$200b5o39b2ob2ob2ob2ob2ob2o
17bobo3bobo100bob2o3b2obo19b2o9b2o20b2o5b2o17bob2o5b2obo16bo7bo15b2o5b
2o17b2obob2ob2obob2o8b2ob2o3b2ob2o12b2ob2ob2ob2o211b6ob6o164b2obo9bob
2o177b2o5b2o$199bobobobo39bo2bob2ob2obo2bo19b3ob3o17b2ob2ob2ob2o41b2o
7b2o19b3obo5bob3o18bobo5bobo20b2o7b2o16b3obo3bob3o15b2o7b2o13b2o7b2o
14b2o3bo7bo3b2o7bobo5bobo11b2obob2ob2obob2o10b2o9b2o186bo4bobo4bo164bo
b2o3bobo3b2obo176b2o7b2o$199b2o3b2o39bob3obobob3obo18b2o5b2o16b2ob2ob
2ob2o41b2o7b2o19b2ob3o3b3ob2o17b2ob2o3b2ob2o18bobo7bobo14b2o2b2o3b2o2b
2o13bob4ob4obo13bo7bo15b3obo9bob3o6b2o2bo3bo2b2o9bob3o2bobo2b3obo9b2o
9b2o185b6o3b6o160b2obobo2bobobobo2bobob2o174b2o5b2o$181b2ob2o10b2obo5b
ob2o35b2obo9bob2o18b2o3b2o15b2obo2bobo2bob2o38b2o9b2o20bo2bo3bo2bo20bo
bo5bobo19b2obo5bob2o14bob5ob5obo13b2o2b2ob2o2b2o12bo2bo3bo2bo39bob4ob
4obo7b4o2bo7bo2b4o8b2o7b2o80b2ob2ob2ob2o95bobobo5bobobo160b5o13b5o174b
o7bo$181b2ob2o10b5o3b5o36b2o2bo5bo2b2o19bo5bo15b3ob3ob3ob3o38b2o9b2o
20b4o3b4o20bobo5bobo20b2o7b2o16bobo2bobo2bobo15b3obobob3o13b4o3b4o14b
3obo9bob3o7bobo5bobo8b2ob5o5b5ob2o7b2o9b2o79b2ob2ob2ob2o94b2obo9bob2o
354b6ob6o$180b2o3b2o10bo3bobo3bo37bo13bo18b2o5b2o16bobobobobobo41b2o7b
2o20b2o9b2o18b3ob2ob2ob3o18b2o9b2o16b2ob2ob2ob2o16bobo5bobo14bob2ob2ob
o15b2o3bo7bo3b2o6b2ob2o3b2ob2o8bobobo9bobobo9bo9bo81b2obobob2o95b5o7b
5o17b2ob2o137b5o13b5o172b2o2b2ob2o2b2o$181bobobo11b5ob5o35b2ob3o7b3ob
2o16bobo3bobo16b3o5b3o41bob2o3b2obo21b4o3b4o19bobobo3bobobo19bobo5bobo
18bob2ob2obo15b3obo5bob3o12bo2bobo2bo17b2obob2ob2obob2o9bobo5bobo6b4ob
obo9bobob4o6bo9bo81bob2ob2obo129b2ob2o137b2obobo2bobobobo2bobob2o$181b
o2b3o9b2obo5bob2o34b5o9b5o15b2o2bobo2b2o16bo2bobo2bo40b2ob3o3b3ob2o19b
o2bo3bo2bo20bob3ob3obo20b4o3b4o17b2o7b2o14b2ob2o5b2ob2o11b2ob2ob2ob2o
14b2ob6ob6ob2o7b3o5b3o6b2ob4o11b4ob2o5b2obo5bob2o76b2o3bobobobo3b2o91b
5o7b5o14b2obo3bob2o137bob2o3bobo3b2obo$180b2obo3bo9bo2bo3bo2bo70b4ob4o
17bob2ob2obo40b3o2b2ob2o2b3o17b2ob3o3b3ob2o19b2obobob2o22bo2bobo2bo18b
2o7b2o16b2ob2ob2ob2o13b2ob2ob2ob2o14b2obo4bobo4bob2o8bob2ob2obo38b3o5b
3o77b7o3b7o91b2obo9bob2o14b2ob2ob2ob2o137b2obo9bob2o$181bo2bob2o8b2ob
2o3b2ob2o34b5o9b5o16bo2bobo2bo16b2ob2ob2ob2o41bob2o3b2obo19b3obo5bob3o
18b2ob2ob2ob2o20b2ob2ob2ob2o44b2ob2ob2ob2o39b2ob3obobob3ob2o8b2o2bobo
2b2o6b2ob4o11b4ob2o5bobob2ob2obobo77bobobobobobobobo93bobobo5bobobo16b
ob2ob2obo139bob5ob5obo$180b2obo3b2o7bob3o3b3obo34b2ob3o7b3ob2o15b2ob2o
b2ob2o16b3o3b3o43b2o5b2o22bob2o3b2obo20b2ob2ob2ob2o20b2ob2ob2ob2o94b2o
b2ob2ob2ob2ob2o9b4ob4o7b4obobo9bobob4o5b3o2bobo2b3o76b2obo2bo3bo2bob2o
92b6o3b6o16b2o5b2o138b3obo2bobo2bob3o$181bob2ob2o9bobo5bobo37bo13bo17b
2ob2ob2ob2o15b2o7b2o43b2o3b2o24b2o5b2o163b2ob2o15bo2bobo2bo10bobobo9bo
bobo9bob3ob3obo78b5o5b5o94bo4bobo4bo16b2o7b2o137bobobob2ob2obobobo$
180b2obo3b2o7b2ob2o3b2ob2o36b2o2bo5bo2b2o42bob2o5b2obo41b2o5b2o24b2o3b
2o83b2o2bobo2b2o70b2ob2o14b2ob2ob2ob2o8b2ob5o5b5ob2o8b2o2bobo2b2o75b3o
bobo7bobob3o91b6ob6o17b2o5b2o139b2ob4ob4ob2o$180b8o8b2obobobobob2o35b
2obo9bob2o41b2obo5bob2o41b2o5b2o23b2o5b2o82b11o42b2ob2o42b2ob2ob2ob2o
8b4o2bo7bo2b4o9b4ob4o76b4o13b4o90b2o2bobobobo2b2o12b2o2bo7bo2b2o137bo
3bobo3bo$182bobo2b2o11b5o40bob3obobob3obo43b2ob2ob2ob2o74b2o5b2o80b2ob
obobobobob2o40b2ob2o63bob3o2bobo2b3obo11bob2ob2obo187b2o2b3ob3o2b2o12b
5o7b5o137b3obobob3o$187b2o13bo42bo2bob2ob2obo2bo43b2ob2ob2ob2o106b2o2b
o2b2o48b4o7b4o37b2ob2ob2ob2o61b2obob2ob2obob2o11b2o7b2o75b4o13b4o92b2o
2bobo2b2o17bo9bo141bob2ob2obo$244b2ob2ob2ob2ob2ob2o158bob7obo25b2ob2o
21bo5bo18b2o9b2o10b2o2bobo2b2o63b2ob2ob2ob2o13b2o7b2o75b3obobo7bobob3o
92b2ob2ob2ob2o14b2ob2o7b2ob2o138bo2bobo2bo$244b2ob2ob2ob2ob2ob2o158b2o
bo3bob2o23b4ob4o15b2ob2o5b2ob2o14b2o9b2o12b3ob3o65b2ob2ob2ob2o102b5o5b
5o98b2ob2o17b5o7b5o137b2ob2ob2ob2o$278b2ob2ob2ob2o68b2o7b2o49b2obob2ob
2obob2o19b3o2bobo2b3o13b5o5b5o15b3o5b3o11b3obobob3o44b2o3b2o124b2obo2b
o3bo2bob2o97b2ob2o171b2ob2ob2ob2o$278b2ob2ob2ob2o68b2o7b2o23b2ob2o20bo
b5o3b5obo16b3ob4ob4ob3o40b2o3bobo3b2o8b3o2b2ob2o2b3o42b2o3b2o125bobobo
bobobobobo120b5o7b5o$279bobo3bobo70bob2ob2obo24b2ob2o20b2obo2b2ob2o2bo
b2o16b2ob2o2bobo2b2ob2o11b5o5b5o14bob2obobob2obo8b2ob2obobob2ob2o14b2o
2b2ob2o2b2o11b2ob2o5b2ob2o120b7o3b7o119b2ob2o7b2ob2o$278b2o7b2o66b4ob
2ob2ob4o19b2o5b2o19bob5ob5obo18bo2bob2ob2obo2bo12b2ob2o5b2ob2o15b2o2bo
bo2b2o8b2o2bo2bobo2bo2b2o12bob5ob5obo10b3ob2o3b2ob3o36b2ob2o79b2o3bobo
bobo3b2o122bo9bo$278bo9bo14b2o7b2o41b2obo2bobo2bob2o15b2obob2o3b2obob
2o14b2obo2bo3bo2bob2o17bob2o7b2obo16bo5bo20b4ob4o6b2o2b3ob3ob3ob3o2b2o
9b2obobo3bobob2o13b2o5b2o39b2ob2o83bob2ob2obo123b5o7b5o$250b2obobob2o
20bo7bo15b2o7b2o39b2obob4ob4obob2o13b4o9b4o14bob6ob6obo16b2obobo5bobob
2o11b4o7b4o15b2o2bobo2b2o5b5obo2b2ob2o2bob5o10b2o2b2ob2o2b2o11b3ob2o3b
2ob3o33b2ob2ob2ob2o80b2obobob2o123b2o2bo7bo2b2o$161b2o3b2o30b2ob2ob2ob
2o37b2obob7obob2o15b2o7b2o13b2o9b2o38b4obo2bobo2bob4o16bobo5bobo18b2ob
ob2ob2obob2o17b6o5b6o11b2obobobobobob2o15bob3ob3obo7bo2b5o3b5o2bo11b2o
b2obobob2ob2o10b3obo5bob3o33b2o2bobo2b2o79b2ob2ob2ob2o126b2o5b2o$161b
2o3b2o30b3ob3ob3o37b3obo3bo3bob3o14bob3o3b3obo13bo9bo37b2o2bob3obobob
3obo2b2o11b3ob2obobob2ob3o17b2o2bobo2b2o49b11o18bobo3bobo38bob2ob2ob2o
b2obo14b2o3b2o39b2o3b2o81b2ob2ob2ob2o125b2o7b2o$160b2o5b2o30bobo3bobo
40b3o7b3o16b3ob2ob2ob3o13b2o7b2o37b3ob3obobobobob3ob3o11b5ob2ob2ob5o
17bob7obo19b6o5b6o13b2o2bobo2b2o17b2ob2ob2ob2o7bo2b5o3b5o2bo8b2obo2bob
2ob2obo2bob2o7b3o2b2ob2o2b3o35bo5bo218b2o5b2o$161b2o3b2o10b2ob2ob2ob2o
10bo2b3o2bo70bob3ob3obo11b2obo9bob2o37bo3b4ob4o3bo49b2o2bo2b2o20b2obob
o5bobob2o40bob2obobob2obo4b5obo2b2ob2o2bob5o6b7o2bobo2b7o7b6o3b6o32bob
4ob4obo215bob2ob2obo$160b2obobob2o9b2ob2ob2ob2o9b5ob5o39b2o9b2o17b2o2b
obo2b2o11b5ob2ob2ob5o34b2ob2o4bo3bo4b2ob2o11b5ob2ob2ob5o48bob2o7b2obo
41b2obobobobob2o4b2o2b3ob3ob3ob3o2b2o8bobo2b3ob3o2bobo54b5ob2ob2ob5o
212b2ob2ob2ob2o$159bob3ob3obo9b2obobob2o10bobobobobobo39b2o9b2o18bo2bo
bo2bo13bo5bobo5bo35b5o13b5o11b3ob2obobob2ob3o48bo2bob2ob2obo2bo42bob3o
b3obo8b2o2bo2bobo2bo2b2o16b3ob3o14b6o3b6o30b2o2bo2bobo2bo2b2o212b2obo
3bob2o$159b2o2bobo2b2o8b2ob2ob2ob2o8b2o9b2o68b2ob2ob2ob2o12b3ob2o3b2ob
3o72bobo5bobo50b2ob2o2bobo2b2ob2o41b2o2bobo2b2o9b2ob2obobob2ob2o38b3o
2b2ob2o2b3o32b2o9b2o217b2ob2o$160bob2ob2obo9bo3bobo3bo9bo2bo3bo2bo39b
2o9b2o17b2ob2ob2ob2o11b2ob3o5b3ob2o34b5o13b5o11b4o9b4o47b3ob4ob4ob3o
15b2obobobob2o16bob2ob2obo10b3o2b2ob2o2b3o17b3ob3o18b2o3b2o34b2ob2o2bo
bo2b2ob2o215b2ob2o$159bo2b2ob2o2bo9b4ob4o10b3o5b3o39b2o9b2o40b2o2b2o3b
2o2b2o35b2ob2o4bo3bo4b2ob2o11b2obob2o3b2obob2o19b2ob2ob2ob2o19b3o2bobo
2b3o17b11o16bob2ob2obo12b3obobob3o14bobo2b3ob3o2bobo9b3obo5bob3o30b3o
2b3ob3o2b3o$157b7ob7o6b2o7b2o10bo2bobo2bo93b2ob2obobob2ob2o38bo3b4ob4o
3bo18b2o5b2o23b2ob2ob2ob2o21b4ob4o18b2o3bobo3b2o14b2o7b2o13b3ob3o14b7o
2bobo2b7o7b3ob2o3b2ob3o33b3o5b3o$157b2obo7bob2o7b2o5b2o11bob2ob2obo40b
3o7b3o42b2ob2ob2ob2o37b3ob3obobobobob3ob3o17b2ob2o24b2obobobobob2o22b
2ob2o21b2o7b2o15b2o7b2o11b2o2bobo2b2o12b2obo2bob2ob2obo2bob2o10b2o5b2o
33b2obo9bob2o$160b2o5b2o9b2o7b2o8b4obobob4o36b3obo3bo3bob3o40b2ob2ob2o
b2o37b2o2bob3obobob3obo2b2o17b2ob2o24bob4ob4obo47b2obo5bob2o36b2ob2ob
2ob2o15bob2ob2ob2ob2obo10b3ob2o3b2ob3o30b3o11b3o$160bo7bo10b2o5b2o9b2o
2b2ob2o2b2o36b2obob7obob2o90b4obo2bobo2bob4o47b2obo2bobo2bob2o47b2obo
3bob2o40b2ob2o18b2ob2obobob2ob2o10b2ob2o5b2ob2o$159b3o5b3o8b2o7b2o12b
2ob2o44b2obobob2o94b2obob4ob4obob2o48b3obo3bob3o47b2o9b2o39b2ob2o19b2o
2b2ob2o2b2o15b2o3b2o34b3o11b3o$159bo3bobo3bo9b4ob4o167b2obo2bobo2bob2o
49bobobo5bobobo47b2o7b2o63b2obobo3bobob2o14b2o3b2o34b2obo9bob2o$160b3o
3b3o9b2o2bobo2b2o95bo70b4ob2ob2ob4o20b2o5b2o20b2o2b2o3b2o2b2o43b2o2bo
3bobo3bo2b2o59bob5ob5obo58b3o5b3o$159b2o2bobo2b2o9b4ob4o94b5o71bob2ob
2obo23b2o5b2o21b3o7b3o44b4ob4ob4ob4o60b2o2b2ob2o2b2o56b3o2b3ob3o2b3o$
159bob3ob3obo8bo3bobo3bo92bobobobo69b2o7b2o23b2o3b2o21b2o11b2o27bo17bo
b2o2bobo2b2obo20bo18b2o7b2o81b2ob2o2bobo2b2ob2o$160b2obobob2o9b2ob2ob
2ob2o88b2o2b2o3b2o2b2o65b2o7b2o23bo5bo22b3o7b3o26b5o18bob2ob2obo21b5o
16b2o7b2o83b2o9b2o$161b2o3b2o11b2obobob2o64b2ob2ob2ob2o14b5o5b5o96b2ob
2o3b2ob2o18b2o2b2o3b2o2b2o24bobobobo17bo2bobo2bo20bobobobo16b2o5b2o82b
2o2bo2bobo2bo2b2o$160b2o5b2o9b2ob2ob2ob2o63b2ob2ob2ob2o16bob3ob3obo97b
ob4o3b4obo17bobobo5bobobo24b2o3b2o16b2ob2ob2ob2o19b3ob3o16bo7bo46bo2bo
2bo29b5ob2ob2ob5o$161b2o3b2o10b2ob2ob2ob2o12b2o3b2o43b2o2bo3bo2b2o15b
2o2bobo2b2o97b2o2b2o3b2o2b2o18b3obo3bob3o24b2o5b2o16bo2b3o2bo18b2o2bob
o2b2o13b2o7b2o13b2o2b2ob2o2b2o17b11o29bob4ob4obo$161b2o3b2o33b2o3b2o
44b5ob5o17b2obobob2o99b2o9b2o18b2obo2bobo2bob2o22bob2o3b2obo14b4o3b4o
13b2o2b5ob5o2b2o9bo9bo13b6ob6o17b2o2bobo2b2o32bo5bo$200b2o5b2o37b2o2bo
bo3bobo3bobo2b2o10bo2b2ob2o2bo98bo11bo19bob4ob4obo23b2ob2ob2ob2o14b2ob
5ob2o13b4o11b4o8b6ob6o14bo2bobo2bo20bob2ob2obo33b2o3b2o$201b2o3b2o38b
10o3b10o10b2o2bobo2b2o95b2obo11bob2o16b2obobobobob2o24bo7bo20bo21b3obo
3bob3o12bob2o3b2obo15b3o3b3o19b4o3b4o30b2o2bobo2b2o$200b2obobob2o42bob
obo3bobobo16b4ob4o24bo71b4o11b4o17b2ob2ob2ob2o24b3o5b3o38b2ob3o7b3ob2o
9bobobobobobo9b2o2b3o7b3o2b2o13bo2b2ob2o2bo30b2ob2ob2ob2o$199bob3ob3ob
o36b2obobo11bobob2o11bo2bobo2bo22b5o105b2ob2ob2ob2o24bob2o3b2obo38b3o
13b3o8b2ob2o3b2ob2o8b5o2bo5bo2b5o12b2ob2o3b2ob2o32b2ob2o$199b2o2bobo2b
2o36b5o13b5o10b2ob2ob2ob2o17b2obobobobob2o6b2o7b2o22b2ob2ob2ob2o15b4o
11b4o49b2obobo5bobob2o62b2obobobobob2o10bob4o5b4obo15bo2b2ob2o2bo33b2o
b2o293b2o3b2o$163b2o3b2o30b4ob4o70b3o5b3o17b5o3b5o6b2o7b2o22b2ob2ob2ob
2o15b2obo11bob2o49b5o7b5o13b2o5b2o13b3o13b3o7b2ob4ob4ob2o9b3ob2o5b2ob
3o15b4o3b4o331b2o3b2o15b2o3b2o$163b2o3b2o29bo9bo36b5o13b5o12bo5bo20bo
9bo6b2o9b2o22bo2bobo2bo19bo11bo82b2o5b2o13b2ob3o7b3ob2o8bo3b2ob2o3bo9b
2o15b2o15bob2ob2obo333b2ob2o16b2o3b2o$162b2o5b2o28b2o7b2o36b2obobo11bo
bob2o12b2o3b2o20b2o7b2o7bo9bo23b4ob4o19b2o9b2o52b5o7b5o11b2ob2o3b2ob2o
14b3obo3bob3o11bobobo3bobobo10b3ob2o5b2ob3o16b4ob4o333bo3bo17b2ob2o$
163b2o3b2o30bo7bo42bobobo3bobobo16b2o5b2o20bo7bo8b2o7b2o22b2o2bobo2b2o
17b2o2b2o3b2o2b2o51b2obobo5bobob2o10bobobobobobobobo10b4o11b4o7b2o2b3o
b3o2b2o9bob4o5b4obo17bo5bo333b2o3b2o16bo3bo$162b2obobob2o29b2o5b2o37b
10o3b10o11b2o5b2o20b2o5b2o9bo7bo22bobob2ob2obobo16bob4o3b4obo54bob2o3b
2obo13b2ob3o3b3ob2o10b2o2b5ob5o2b2o7b3o2bo3bo2b3o7b5o2bo5bo2b5o15b2o3b
2o333bo5bo15b2o3b2o$161bob3ob3obo27b2o7b2o36b2o2bobo3bobo3bobo2b2o39b
2ob2ob2ob2o8b2o5b2o22b4obobob4o17b2ob2o3b2ob2o55b3o5b3o11b2o3bo2bobo2b
o3b2o12b2o2bobo2b2o13b2ob2ob2ob2o9b2o2b3o7b3o2b2o14b2obobob2o331b3o3b
3o14bo5bo$161b2o2bobo2b2o28b4ob4o43b5ob5o45bob3ob3obo7b2ob2ob2ob2o22bo
bobobobobo21bo5bo59bo7bo12b7o5b7o14b3ob3o15b2ob2ob2ob2o15b3o3b3o20bob
2ob2obo331bob2ob2obo13b2o5b2o$162b4ob4o28b2o2bobo2b2o41b2o2bo3bo2b2o
45bobo3bobo8bob3ob3obo22bob3ob3obo21b2o3b2o58b2ob2ob2ob2o13bo5bobo5bo
16bobobobo41bo2bobo2bo19b2ob2ob2ob2o328b2o3bobo3b2o11bo7bo$161bo9bo28b
4ob4o43b2ob2ob2ob2o45b2ob2ob2ob2o8bobo3bobo21b4o2bobo2b4o18b2o5b2o57bo
b2o3b2obo17b3ob3o21b5o40b6ob6o17b2ob2ob2ob2o328b4obobob4o9b2ob2o3b2ob
2o$159b4o7b4o25bo3bobo3bo42b2ob2ob2ob2o44bob2obobob2obo6b2ob2ob2ob2o
20b2obob2ob2obob2o18b2o5b2o58b2o5b2o48bo42b2o2b2ob2o2b2o357bo3bobo3bo
10b3o2bobo2b3o$159b2obo7bob2o9b2o3b2o9b2ob2ob2ob2o97b2obobobobob2o5bob
2obobob2obo20bobo2bobo2bobo87b2o3b2o19b3ob3o436b3obobob3o11bo2b2ob2o2b
o$162b2o5b2o12b2o3b2o10b2obobob2o72b2ob2ob2ob2o16bob3ob3obo6b2obobobob
ob2o19bo2b4ob4o2bo86bobobobo15bo5bobo5bo433bob2ob2obo12b4o3b4o$162bo7b
o11b2o5b2o8b2ob2ob2ob2o71b2ob2ob2ob2o16b2o2bobo2b2o7bob3ob3obo20b4o2bo
bo2b4o87b5o14b7o5b7o431bo2bobo2bo13bob5obo$161b2o7b2o11b2o3b2o9b2ob2ob
2ob2o72bob2ob2obo18bob2ob2obo8b2o2bobo2b2o21bobob2ob2obobo90bo16b2o3bo
2bobo2bo3b2o430b11o12bobobobobo$161bo9bo10b2obobob2o60b2ob2ob2ob2o19bo
bobobobobo17bob2ob2obo9bob2ob2obo21b2ob3o3b3ob2o108b2ob3o3b3ob2o66b2ob
2ob2ob2o19b2ob2o331b2obobobob2o11b11o$162b4ob4o10bob3ob3obo55b2o2b2ob
2ob2ob2o2b2o15b2ob2ob2ob2o16b2o7b2o8bob2ob2obo21b5o5b5o108bobobobobobo
bobo66b2ob2ob2ob2o19b2ob2o353b2o2bobo2b2o$161b2o2bobo2b2o9b2o2bobo2b2o
55b2o3bob2ob2obo3b2o13b2obobo3bobob2o14b2o7b2o7b2o7b2o144b2ob2o3b2ob2o
68bo2bobo2bo17b2ob2ob2ob2o$161bob3ob3obo10bob2ob2obo55b2ob4o2bobo2b4ob
2o12b3ob3ob3ob3o32b2o7b2o20b5o5b5o111b2o5b2o69b4o3b4o15bob2obobob2obo$
162b2obobob2o10bo3bobo3bo50b2o2bo2bo2b4ob4o2bo2bo2b2o10bob2o3b2obo65b
2ob3o3b3ob2o111b2o5b2o65b2o2bob2o3b2obo2b2o10bobo2b2ob2o2bobo$163b2o3b
2o11b5ob5o50b10o3bobo3b10o10b4o3b4o66bobob2ob2obobo20bo11bo153b5o9b5o
10b2ob3o3b3ob2o327b2o3b2o$162b2o5b2o11bo7bo53bo2bobo2b4ob4o2bobo2bo10b
2obo7bob2o63b4o2bobo2b4o17b4o9b4o152bo2b2o7b2o2bo12bobob2ob2obobo329bo
2bo2bo$163b2o3b2o12b2o5b2o61bo7bo18b3o9b3o63bo2b4ob4o2bo17b2o3b2o3b2o
3b2o151b2o2bo9bo2b2o8b3o2bo2bobo2bo2b3o325bo4b2o16b2o2b3o$163b2o3b2o
11b2o7b2o89b2o7b2o22b2o13b2o27bobo2bobo2bobo20b6ob6o153b2ob2o9b2ob2o8b
7o5b7o325b2o2bo2bo16bo2bobo$181bobo5bobo60bo7bo20bobo5bobo22b2o13b2o
26b2obob2ob2obob2o19bobo2bobo2bobo76b2ob2ob2ob2ob2ob2o63bo11bo360b2o
16bo5bo$182b2o5b2o13b2ob2o35bo2bobo2b4ob4o2bobo2bo13bo7bo24bob2ob2ob2o
b2obo27b4o2bobo2b4o20b2ob2ob2ob2o77b2ob2ob2ob2ob2ob2o60b2ob2o9b2ob2o8b
7o5b7o348b2o4bo$181b2o2bobo2b2o12b2ob2o33b10o3bobo3b10o8b4o7b4o21bob2o
b2ob2ob2obo29bob3ob3obo23bob2ob2obo79bo2bo2bobo2bo2bo61b2o2bo9bo2b2o8b
3o2bo2bobo2bo2b3o$182bob2ob2obo11b2obobob2o31b2o2bo2bo2b4ob4o2bo2bo2b
2o8b2ob3o3b3ob2o20b2obob2o3b2obob2o28bobobobobobo22b2o7b2o78bob5ob5obo
62bo2b2o7b2o2bo12bobob2ob2obobo$181bob3ob3obo9bob3ob3obo34b2ob4o2bobo
2b4ob2o13bobo2bobo2bobo22bob2ob2ob2ob2obo28b4obobob4o21b2o7b2o77b2obo
3bobo3bob2o60b5o9b5o10b2ob3o3b3ob2o$181b2obo3bob2o8bobo7bobo34b2o3bob
2ob2obo3b2o13b3ob3ob3ob3o21bo2bob2ob2obo2bo28bobob2ob2obobo110b2o3b2ob
2o3b2o61b2o2bob2o3b2obo2b2o10bobo2b2ob2o2bobo$180b2o2b2ob2o2b2o7b5o3b
5o34b2o2b2ob2ob2ob2o2b2o14bobo2bobo2bobo20b4obo7bob4o27b2o2bobo2b2o
111bo3bo5bo3bo65b4o3b4o15bob2obobob2obo$180b2o2b2ob2o2b2o8bob2o3b2obo
39b2ob2ob2ob2o18b3ob2ob2ob3o20b2ob2o9b2ob2o28b4ob4o111b6o5b6o65bo2bobo
2bo17b2ob2ob2ob2o$200b2obo5bob2o68bobobobobobo68bo2bobo2bo111b2obobo5b
obob2o64b2ob2ob2ob2o19b2ob2o$200b2ob2o3b2ob2o68bo2b2ob2o2bo21b2ob2o9b
2ob2o27b2ob2ob2ob2o191b2ob2ob2ob2o19b2ob2o$202bobo3bobo69b4obobob4o20b
4obo7bob4o27b2ob2ob2ob2o110b2obobo5bobob2o$202b2o5b2o69b2ob2o3b2ob2o
22bo2bob2ob2obo2bo150b6o5b6o$203b2o3b2o72b2o5b2o24bob2ob2ob2ob2obo151b
o3bo5bo3bo$203bo5bo72b2o5b2o23b2obob2o3b2obob2o150b2o3b2ob2o3b2o$199b
2ob2o5b2ob2o34b2o2b2o5b2o2b2o50bob2ob2ob2ob2obo150b2obo3bobo3bob2o$
199b2obobo3bobob2o34b2o2b2o5b2o2b2o50bob2ob2ob2ob2obo151bob5ob5obo100b
o$172b2ob2o5b2ob2o14bo3bobo3bo37b3ob2o3b2ob3o50b2o13b2o150bo2bo2bobo2b
o2bo95b2ob5ob2o$172b2ob2o2bo2b2ob2o14b5ob5o37bo2b2o5b2o2bo50b2o13b2o
149b2ob2ob2ob2ob2ob2o94b4o3b4o$173bo2b7o2bo16bobo3bobo37b4obo5bob4o
215b2ob2ob2ob2ob2ob2o95bo2b3o2bo$173bob2obobob2obo15b2ob2ob2ob2o36bo2b
ob3ob3obo2bo89bo21bo18b2o5b2o188b4ob4o$172b2obo2bobo2bob2o14b2ob2ob2ob
2o34b2ob2o3bo3bo3b2ob2o16b2o5b2o60b3o21b3o16b2o5b2o185b2obo7bob2o$172b
obo2b2ob2o2bobo59b5o3bo3bo3b5o16b2o5b2o61b2obo17bob2o18b2o3b2o186b5obo
bob5o$169b2obobo3bobo3bobob2o94b2o3b2o58b2o3bob2ob2o9b2ob2obo3b2o14bo
5bo191b2ob2o$169b7obo3bob7o56b5o3bo3bo3b5o17bo5bo58b7ob3obo7bob3ob7o
13b2o5b2o185b3o2b2ob2o2b3o$246b2ob2o3bo3bo3b2ob2o16b2o5b2o31b2o5b2o19b
obob2obob2o7b2obob2obobo15bo7bo82b2o5b2o94b4obo3bob4o$169b7obo3bob7o
58bo2bob3ob3obo2bo18bo7bo31b2o5b2o27bob4ob4obo21b4o5b4o80b2o5b2o$169b
2obobo3bobo3bobob2o58b4obo5bob4o17b3o5b3o31b2o3b2o29b2o2bobo2b2o22b2o
3bobo3b2o78b2ob2o3b2ob2o92b4obo3bob4o$172bobo2b2ob2o2bobo62bo2b2o5b2o
2bo18bobo5bobo30b2obobob2o29b4ob4o25bo7bo80b2obo5bob2o92b3o2b2ob2o2b3o
$172b2obo2bobo2bob2o62b3ob2o3b2ob3o17b5o3b5o29bob2ob2obo28bo3bobo3bo
22b3obo3bob3o76b2obob2o3b2obob2o95b2ob2o$173bob2obobob2obo62b2o2b2o5b
2o2b2o17bo3bobo3bo29b3obobob3o27b3obobob3o22b2ob3ob3ob2o76b3ob2obobob
2ob3o90b5obobob5o91b2o5b2o$173bo2b7o2bo62b2o2b2o5b2o2b2o16b2obobobobob
2o28bobobobobobo28bob2ob2obo24bobobobobobo79bobo2bobo2bobo92b2obo7bob
2o91b2o5b2o$172b2ob2o2bo2b2ob2o94bob9obo24b2ob2ob3ob3ob2ob2o24bo2bobo
2bo24b5ob5o79b6ob6o95b4ob4o95b2o3b2o$172b2ob2o5b2ob2o95b2obobobob2o25b
2obobo7bobob2o23b2ob2ob2ob2o24bo2bobo2bo81bo3bobo3bo96bo2b3o2bo94b2o5b
2o$319b7o3b7o24b2ob2ob2ob2o23b2ob2ob2ob2o80bob2o3b2obo95b4o3b4o94b2o3b
2o$319bo2bo9bo2bo58b2ob2ob2ob2o79b4o5b4o94b2ob5ob2o94bo5bo$316b2obobob
3o3b3obobob2o145bo2b2o3b2o2bo99bo98b2o5b2o$316b9o5b9o146b3obobob3o195b
2o2bo7bo2b2o$365b2ob2o114b2o2b2ob2o2b2o194b7o3b7o$199b2o9b2o104b9o5b9o
24b4ob4o112b2o2b2ob2o2b2o195bobo2bo3bo2bobo$199b2o9b2o74b2ob2o25b2obob
ob3o3b3obobob2o22b3o2bobo2b3o317b2obob2o3b2obob2o$200b2o7b2o75b2ob2o
28bo2bo9bo2bo25b2ob2o3b2ob2o262b2ob2ob2ob2o45b5obobob5o$200bo9bo72b2ob
2ob2ob2o25b7o3b7o26bobo5bobo263b2ob2ob2ob2o45bo3b2o3b2o3bo$201b2o5b2o
73b2o2bobo2b2o24b2obobo7bobob2o25b5ob5o262b2obobobobob2o43b6o5b6o$200b
2o7b2o71b2ob3ob3ob2o23b2ob2ob3ob3ob2ob2o26bobo3bobo21b2ob2ob2ob2o231bo
b2o5b2obo43b2obob2o3b2obob2o$173b2o9b2o15b2o5b2o73bobo5bobo28bobobobob
obo28bobo2bobo2bobo19b5ob5o232b2o7b2o46b2o3bobo3b2o$173b2o9b2o15bo7bo
73b2obo3bob2o28b3obobob3o23b2ob6o5b6ob2o15bo2bobo2bo234b2o5b2o47b6ob6o
$174b2o7b2o15b4o3b4o73b2o5b2o30bob2ob2obo24b4o2bobo5bobo2b4o12bo2b2o5b
2o2bo230b2o2bobo2b2o48bob2ob2obo$173b2o9b2o14bo3bobo3bo72b2ob2ob2ob2o
29b2obobob2o26bobobob2o3b2obobobo12b6obo3bob6o229bo7bo$173bobo2bobo2bo
bo13b4o5b4o72b4ob4o31b2o3b2o28b7o3b7o13b2obo2b2o3b2o2bob2o228b2o2bobo
2b2o$174b2o7b2o14b2ob2o3b2ob2o71b2o2bobo2b2o29b2o5b2o58bob5o3b5obo228b
o2b3ob3o2bo$173b2o9b2o14bobo5bobo73b4ob4o30b2o5b2o27b7o3b7o14b3ob3o3b
3ob3o228b4obobob4o$174b3o5b3o15b3o5b3o72bo3bobo3bo64bobobob2o3b2obobob
o12b2o15b2o226b2o2b3ob3o2b2o$174bo2bo3bo2bo16bobo3bobo73b2ob2ob2ob2o
62b4o2bobo5bobo2b4o11b3ob3o3b3ob3o227bob2o2bobo2b2obo$173b2obo5bob2o
14b2ob2ob2ob2o73b2obobob2o63b2ob6o5b6ob2o11bob5o3b5obo228bobob2ob2obob
o$174b2o7b2o16b4ob4o73b2ob2ob2ob2o67bobo2bobo2bobo15b2obo2b2o3b2o2bob
2o228b2o2bobo2b2o$173b2o3bobo3b2o15bo2bobo2bo73b2ob2ob2ob2o69bobo3bobo
17b6obo3bob6o229bob2ob2obo$174b5ob5o15b2ob2ob2ob2o151b5ob5o18bo2b2o5b
2o2bo230b2o7b2o$174bobobobobobo15b2ob2ob2ob2o119b2ob2ob2ob2o21bobo5bob
o21bo2bobo2bo232bob2o5b2obo$173b2obo5bob2o144b2ob2ob2ob2o20b2ob2o3b2ob
2o19b5ob5o231b2obo5bob2o$173b4obobob4o145bo2bobo2bo21b3o2bobo2b3o19b2o
b2ob2ob2o232b2ob2ob2ob2o$175bob2ob2obo146b5ob5o22b4ob4o264b2ob2ob2ob2o
$176b2o3b2o103b2o2bo2b2o35bobobobobobo24b2ob2o$177b2ob2o103bob7obo30b
2ob3ob2ob2ob3ob2o$177b2ob2o99b2o2b2o2bobo2b2o2b2o26b4o3b2ob2o3b4o$281b
5ob3ob3ob5o29b3ob2ob2ob3o$285bobobobobobo30b2obo2bo5bo2bob2o$281b2ob2o
b2o3b2ob2ob2o26b7o5b7o$281b4ob3o3b3ob4o$194b2o2b2o126b7o5b7o$189b2o3b
2o2b2o3b2o76b4ob3o3b3ob4o26b2obo2bo5bo2bob2o52b2ob2ob2ob2o$189b2o2b2ob
2ob2o2b2o76b2ob2ob2o3b2ob2ob2o29b3ob2ob2ob3o55b2ob2ob2ob2o$187b2ob4obo
2bob4ob2o78bobobobobobo30b4o3b2ob2o3b4o53b2obobob2o70b2o7b2o$187b3o3bo
2b2o2bo3b3o74b5ob3ob3ob5o26b2ob3ob2ob2ob3ob2o53bob2ob2obo70b2o7b2o$
190b4ob4ob4o77b2o2b2o2bobo2b2o2b2o30bobobobobobo56b2ob2ob2ob2o70bob2ob
2obo$187b4ob2o6b2ob4o78bob7obo34b5ob5o56bo2bo3bo2bo70bob2ob2obo$187b2o
4bo6bo4b2o79b2o2bo2b2o36bo2bobo2bo56b3ob2ob2ob3o68b2o2bobo2b2o$330b2ob
2ob2ob2o55bobo2bobo2bobo68bob3ob3obo$187b2o4bo6bo4b2o123b2ob2ob2ob2o
54b2ob4ob4ob2o66b2obobobobob2o$187b4ob2o6b2ob4o188b3ob2o3b2ob3o66bob2o
bobob2obo$165b2o3b2o18b4ob4ob4o273b2ob2ob2ob2o$165b2o3b2o15b3o3bo2b2o
2bo3b3o188b3ob2o3b2ob3o68bo2bobo2bo$166b2ob2o16b2ob4obo2bob4ob2o188b2o
b4ob4ob2o67bob3ob3obo$166bo3bo18b2o2b2ob2ob2o2b2o191bobo2bobo2bobo68b
2o2bobo2b2o$165b3ob3o17b2o3b2o2b2o3b2o191b3ob2ob2ob3o69b4ob4o$165bo5bo
22b2o2b2o197bo2bo3bo2bo69b2o7b2o$163b2obo3bob2o113b2ob2ob2ob2o35b2o5b
2o55b2ob2ob2ob2o70b4ob4o$163b4o3b4o113b2ob2ob2ob2o35b2o5b2o56bob2ob2ob
o70b2o2bobo2b2o$161b2o2bobobobo2b2o109b2obo2bobo2bob2o31b2ob2o3b2ob2o
54b2obobob2o70bob3ob3obo$161b2o2b2o3b2o2b2o41b2ob2o62bob4obobob4obo30b
2obo5bob2o53b2ob2ob2ob2o70bo2bobo2bo$162b2obobobobob2o42b2ob2o62b2obob
obobobobob2o26b2o3bobo5bobo3b2o49b2ob2ob2ob2o69b2ob2ob2ob2o$161b2ob4ob
4ob2o34b2o2b2ob2ob2ob2o2b2o56b2ob4ob4ob2o27b10ob10o128bob2obobob2obo
28b2o9b2o$162bo3b2ob2o3bo35b2o2b2o2bobo2b2o2b2o55b2o13b2o28bobo3b2ob2o
3bobo130b2obobobobob2o28b2o9b2o$162bobobo3bobobo34b2ob2o2b2o3b2o2b2ob
2o55b2ob4ob4ob2o30b2ob3o3b3ob2o132bob3ob3obo30b3o5b3o$161b2o2b3ob3o2b
2o15b2ob2o14bobob3o5b3obobo55b2obobobobobobob2o31b2ob2ob2ob2o134b2o2bo
bo2b2o30bo3bobo3bo$161b3o2bo3bo2b3o15b2ob2o13b4obobo5bobob4o54bob4obob
ob4obo29b2ob3o3b3ob2o133bob2ob2obo30b4obobob4o$163b2ob2ob2ob2o16b2o3b
2o12bobob2ob2o3b2ob2obobo55b2obo2bobo2bob2o29bobo3b2ob2o3bobo132bob2ob
2obo30bobo2bobo2bobo$163b2ob2ob2ob2o17b2ob2o12b2obo3b3o3b3o3bob2o56b2o
b2ob2ob2o29b10ob10o129b2o7b2o28b2ob4ob4ob2o$186b2obo2bobo2bob2o7b3obo
3bo5bo3bob3o56b2ob2ob2ob2o29b2o3bobo5bobo3b2o129b2o7b2o28b4o2bobo2b4o$
185bob5o3b5obo129b2obo5bob2o53b2o2b2ob2o2b2o108bob3ob3obo$185b2obob2o
3b2obob2o6b3obo3bo5bo3bob3o100b2ob2o3b2ob2o53b2o2b2ob2o2b2o109bobo3bob
o$186bo13bo7b2obo3b3o3b3o3bob2o102b2o5b2o56b2obo3bob2o109b2ob2ob2ob2o$
186b2o11b2o8bobob2ob2o3b2ob2obobo103b2o5b2o55b2o2b2ob2o2b2o107bob2obob
ob2obo$185b2o13b2o7b4obobo5bobob4o60b2o3b2o101b5ob5o108b2obobobobob2o$
186b2o11b2o9bobob3o5b3obobo61b2o3b2o101bo2bo3bo2bo109bob3ob3obo$186bo
13bo8b2ob2o2b2o3b2o2b2ob2o61b2ob2o100b5o5b5o107b2o2bobo2b2o$185b2obob
2o3b2obob2o8b2o2b2o2bobo2b2o2b2o62bo3bo100b2ob2o5b2ob2o108bob2ob2obo$
185bob5o3b5obo8b2o2b2ob2ob2ob2o2b2o58b2ob2o3b2ob2o97bob2o5b2obo109bob
2ob2obo$166b2ob2ob2ob2o9b2obo2bobo2bob2o16b2ob2o65b2obo5bob2o97b2o9b2o
108b2o7b2o$166b2ob2ob2ob2o14b2ob2o21b2ob2o66bob2o3b2obo96b2obo9bob2o
106b2o7b2o$165b2o3bobo3b2o12b2o3b2o91b3o5b3o96b4o9b4o$166b2ob2ob2ob2o
14b2ob2o91b2o9b2o$165b2o3bobo3b2o13b2ob2o91bob4ob4obo95b4o9b4o$162b2o
2b4o3b4o2b2o107b2o2bobo2b2o96b2obo9bob2o$162b5ob2o3b2ob5o108b4ob4o99b
2o9b2o$164bob2o7b2obo109bo3bobo3bo98bob2o5b2obo$164b4o7b4o107b5obobob
5o95b2ob2o5b2ob2o257b2o9b2o$163b2o13b2o106b2obob5obob2o95b5o5b5o257b2o
9b2o$164b4o7b4o111b2obob2o101bo2bo3bo2bo260b2o7b2o149b2o9b2o$164bob2o
7b2obo219b5ob5o260bo9bo149b2o2b2ob2o2b2o$162b5ob2o3b2ob5o216b2o2b2ob2o
2b2o258b2obo5bob2o149b5ob5o$162b2o2b4o3b4o2b2o217b2obo3bob2o260b3o5b3o
145b2o2b2o3bobo3b2o2b2o$165b2o3bobo3b2o219b2o2b2ob2o2b2o162b2o2bo2b2o
88bo2b2ob2o2bo145b5ob4ob4ob5o$166b2ob2ob2ob2o220b2o2b2ob2o2b2o161bob7o
bo85b2ob4ob4ob2o141b2obo2bobob2ob2obobo2bob2o$165b2o3bobo3b2o393b2o2bo
bo2b2o85b3o3bobo3b3o139b6obo2bobo3bobo2bob6o$166b2ob2ob2ob2o112b2ob2ob
2ob2o269b2obob2ob2obob2o85bob3ob3obo141b2o2bob5ob2ob2ob5obo2b2o$166b2o
b2ob2ob2o112b2ob2ob2ob2o254bo2b2o9bob6ob6obo85b2obobob2o147b2obo2b2o3b
2o2bob2o$288b2o2b2ob2o2b2o253bo2bo10b2obo9bob2o86b2o3b2o148bo3bo9bo3bo
$289b2ob2ob2ob2o254bo3bo10bob2o7b2obo86b2o5b2o$289bobobobobobo254bo2b
2o9b2obo9bob2o85b2o5b2o147bo3bo9bo3bo$288b3o7b3o267bob6ob6obo241b2obo
2b2o3b2o2bob2o$288bo11bo268b2obob2ob2obob2o237b2o2bob5ob2ob2ob5obo2b2o
$287b3o9b3o269b2o2bobo2b2o239b6obo2bobo3bobo2bob6o$288bo11bo270bob7obo
241b2obo2bobob2ob2obobo2bob2o$288b3o7b3o271b2o2bo2b2o244b5ob4ob4ob5o$
289bobobobobobo525b2o2b2o3bobo3b2o2b2o$289b2ob2ob2ob2o530b5ob5o$288b2o
2b2ob2o2b2o528b2o2b2ob2o2b2o$289b2ob2ob2ob2o529b2o9b2o$289b2ob2ob2ob2o
3$457b2o2bobobo2b2o102b2o2bo2b2o$456bob11obo100bob7obo$456b2obo2bobo2b
ob2o100b2obo3bob2o$457bo11bo99b2obob2ob2obob2o$457b2o2bo3bo2b2o85b2o4b
2o5bob6ob6obo$456b2o2b3ob3o2b2o85bo4bo6b2obo9bob2o$457b4obobob4o85bo5b
2o6bob2o7b2obo$457bobo2bobo2bobo86bo4b2o5b2obo9bob2o$455b2ob2ob2ob2ob
2ob2o83b2o11bob6ob6obo$291b2ob2o159b2ob2ob2ob2ob2ob2o97b2obob2ob2obob
2o$291b2ob2o275b2o2bobo2b2o$288b2obo3bob2o272bob7obo$287bob3o3b3obo
272b2o2bo2b2o$287b2obo5bob2o$286b2o2b2o3b2o2b2o$287b4o5b4o$286bobo9bob
o$286b2ob4ob4ob2o$285b2ob2o2bobo2b2ob2o$286b2ob4ob4ob2o$286bobo3bobo3b
obo275b2ob2o16b2ob2o$287b4obobob4o276b2ob2o16b2ob2o$289bob5obo257b2o4b
2o10b2ob2ob2ob2o10b2ob2ob2ob2o$290b2obob2o259bo3bo2bo9b2obo3bob2o10b2o
bo3bob2o$555bo4bo2bo7b2obob2ob2obob2o6b2obob2ob2obob2o$556bo4b2o7bob6o
b6obo4bob6ob6obo$555b2o13b2obo9bob2o4b2obo9bob2o$571bob2o7b2obo6bob2o
7b2obo$570b2obo9bob2o4b2obo9bob2o$570bob6ob6obo4bob6ob6obo$571b2obob2o
b2obob2o6b2obob2ob2obob2o$573b2o2bobo2b2o10b2o2bobo2b2o$573bob7obo10b
2ob2ob2ob2o$574b2o2bo2b2o14b2ob2o$597b2ob2o97$203b2ob2ob2ob2o$203b2ob
2ob2ob2o$204bo2bobo2bo$204b4ob4o$203b2obo3bob2o$204bob2ob2obo9b2o7b2o$
203b5ob5o8b2o7b2o$203bobo5bobo9b2o5b2o$202b2o2bo3bo2b2o8bo7bo$202b3o7b
3o7b2o7b2o$203bo2bo3bo2bo8bo9bo$203b5ob5o9bo7bo$204bo2bobo2bo9b2o7b2o$
204b4ob4o10b2o5b2o$203b2o7b2o9bo7bo$204b4ob4o9b2o7b2o$204bo2bobo2bo9bo
9bo$203b5ob5o7b5o3b5o$203bo2bo3bo2bo7b2ob2o3b2ob2o$202b3o7b3o7bo2b2ob
2o2bo$202b2o2bo3bo2b2o7b4o3b4o$203bobo5bobo9bobo3bobo$203b5ob5o8b2o7b
2o$204bob2ob2obo10b4ob4o$203b2obo3bob2o9bo2bobo2bo$204b4ob4o9b2ob2ob2o
b2o$204bo2bobo2bo9b2ob2ob2ob2o$203b2ob2ob2ob2o$203b2ob2ob2ob2o!
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praosylen
Posts: 2449
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Re: B3/S345

Post by praosylen »

What seems to be a signal (found accidentally with dr):

Code: Select all

x = 39, y = 48, rule = B3/S345
15b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o
$13b3ob3o2bob2o2b2o$15b4o2b2obobobob2o$16bob4obob3o2b2o$16bobobob4o2b
2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3b
ob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b
2o3b2o2bobob2o$26b2o2bob4ob2o$26b4o2bobo$28bob2o2bo$20b2o4b3obob4o$20b
2o4b2o3b3obo$21b2ob2o2bob2o3b3o$20b2ob7o3b2ob2o$20b2o8b5o$18b2ob3o2b5o
bo2b3o$16b3obo2b4obobobobob2o$14b3o2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o
3b2ob5o$10b4obo3bob2obo3bobob2o2b2o$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b
2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo2b2obob2o$3b2obob2o2bob3obo2b2o$3b
5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$3b2obobobobo2b5o$2bob2ob2o4b2o3b2o
$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2obo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o
3b2o3b2o$8b2o4b2o$14b2o!
I think there's a translative element and a turn in there, which is probably enough for omniperiodicity, but I'm having trouble fitting the pieces together.

EDIT:
Eaters:

Code: Select all

x = 10, y = 10, rule = B3/S345
4bobo$4bobo$4b3o$5bo3$2bob2o2b2o$4ob5o$2o5bo!

Code: Select all

x = 13, y = 19, rule = B3/S345
5bobo$5bobo$5b2o$5b2o3$2obobo2bobo$13o$2bobo2bobob2o7$6b2o$6b2o$5bobo
$5bobo!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...
Sarp
Posts: 221
Joined: March 1st, 2015, 1:28 pm

Re: B3/S345

Post by Sarp »

There is a translative element but I couldn't find a turn

Code: Select all

x = 39, y = 116, rule = B3/S345
15b2o4b2o$15b2o4b2o$16bob2obo$15bobob3o$15b2obobob2o$13b2o2b2o3b2o4b2o
$13b3ob2o3bob2o2b2o$15b4o2b2obobobob2o$16bo2b3obob3o2b2o$16bobobob4o2b
2o2b2ob2o$12b2ob2obo2b2o2b2ob2o2bob3o$12b3ob3o3b2ob2o2b5o$14b2o2bobo3b
ob2obo3bob2o$14b2o3b4ob2obob8o$18b2o2b2o4bobo4bo$18b2o4b5ob2o2b2o$24b
2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$23b2ob3obob4o
$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2obobobo5b5o$
17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2ob2o2b2o2bob
2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8obob2ob4o$13b
o4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b2ob4obo2bo
2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$11b3o3b2obo
2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b2o$11b2obobo
bobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2ob2o2b5o$11b
2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo$15b2ob2o4b
5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$28bob2o2bo$
23b2ob3obob4o$23b2ob2o3b3obo$19b2o4bo2bob2o3b3o$19b2o2b7o3b2ob2o$17b2o
bobobo5b5o$17b2o2b3o2b5obo2b3o$12b2ob2o2b2o2b4obobobobob2o$12b3obo2b2o
b2o2b2o2bob2obo$15b5o2b2ob2o3b2ob5o$12b2obo3bob2obo3bobob2o2b2o$12b8ob
ob2ob4o$13bo4bobo4b2o2b2ob2o$13b2o2b2ob5o4b2ob2o$10b2obobo2b2o3b2o$10b
2ob4obo2bo2bob2o$14bobo2b9o$14bo2b2obo$13b4obob3ob2o$13bob3o3b2ob2o$
11b3o3b2obo2bo4b2o$11b2ob2o3b7o2b2o$14b5o5bobobob2o$11b3o2bob5o2b3o2b
2o$11b2obobobobob4o2b2o2b2ob2o$13bob2obo2b2o2b2ob2o2bob3o$11b5ob2o3b2o
b2o2b5o$11b2o2b2obobo3bob2obo3bob2o$19b4ob2obob8o$15b2ob2o2b2o4bobo4bo
$15b2ob2o4b5ob2o2b2o$24b2o3b2o2bobob2o$21b2obo2bo2bob4ob2o$21b9o2bobo$
28bob2o2bo$23b2ob3obob4o$23b2ob2o3b3obo$16b2ob2o4bo2bob2o3b3o$16b5o2b
7o3b2ob2o$20bobobo5b5o$18b2ob3o2b5obo2b3o$16b3obo2b4obobobobob2o$14b3o
2b2ob2o2b2o2bob2obo$12b3ob4o2b2ob2o3b2ob5o$10b4obo3bob2obo3bobob2o2b2o
$10b2o2b6obob2ob4o$12b2o4bobo3b3o2b2ob2o$12b3o2b2ob2ob2o4b2ob2o$13bobo
2b2obob2o$3b2obob2o2bob3obo2b2o$3b5ob6obo2b4o$5bo3bo4bo2b2obo$5b12obo$
3b2obobobobo2b5o$2bob2ob2o4b2o3b2o$4o3b2o5bobo$2o2b4o6b6o$3b2o2bobob2o
bo3b2o$4b2o2b4ob3o$3b2o8bobo$3b2o3b2o3b2o$8b2o4b2o$14b2o!
WADUFI
fluffykitty
Posts: 1178
Joined: June 14th, 2014, 5:03 pm
Contact:

Re: B3/S345

Post by fluffykitty »

Completed signal loop:

Code: Select all

x = 29, y = 29, rule = B3/S345
9b2o5b2o$9b2o5b2o$7b2obob2o6b2ob2o$7b2o2b3o2b6ob2o$2b2ob2o2b2o2b4obobo
2bo$2b3obo2b2ob2o2b2o2b3obo$5b5o2b2ob2o3bob3o$2b2obo3bob2obo3bobobo2b
2o$2b8obob2ob5obo2b2o$3bo4bobo4bobo2b5o2b2o$3b2o2b2ob6o2b2o3b2ob3o$2ob
obo2b2o3bob2obob2o3bo$2ob4obo2bobobo2bo2b3ob2o$4bobo2b5ob4obob5o$4bo2b
2obo3bo3bob3obo$2b5obob4ob5o2bobo$2b2ob3o2bo2bobobo2bob4ob2o$3bo3b2obo
b2obo3b2o2bobob2o$3ob2o3b2o2b6ob2o2b2o$2o2b5o2bobo4bobo4bo$2b2o2bob5ob
2obob8o$2b2o2bobobo3bob2obo3bob2o$4b3obo3b2ob2o2b5o$4bob3o2b2o2b2ob2o
2bob3o$5bo2bobob4o2b2o2b2ob2o$4b2ob6o2b3o2b2o$4b2ob2o6b2obob2o$11b2o5b
2o$11b2o5b2o!
User avatar
Layz Boi
Posts: 294
Joined: October 25th, 2018, 3:57 pm

Re: B3/S345

Post by Layz Boi »

Woah, this rule has droves of tiny billiard tables everywhere! :lol: Here's an asymmetric p32.
(found by scribbling randomly in the viewer and examining the explosions)

Code: Select all

x = 17, y = 20, rule = B3/S345
4b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b
2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobo
bo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo
2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o!
At the moment, I don't have the software or patience to transcribe all these onto a .RUL file. :(
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User avatar
LaundryPizza03
Posts: 2625
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: B3/S345

Post by LaundryPizza03 »

Layz Boi wrote:Here's an asymmetric p32.
(found by scribbling randomly in the viewer and examining the explosions)

Code: Select all

x = 17, y = 20, rule = B3/S345
4b2ob2o2b2o$4b2ob2o2b2o$2b2o2bob3ob2o$2b6o2b2o2bo$5bob3o2b3o$2b4obo2b
2o3b2o$2b2obo3b2ob5o$2obob2obob4o$6ob4o3b3o$2bo2b2o3b4ob2o$2b4ob2obobo
bo$2obobo3b2obobo$3ob2obo2b6o$4bob4obobobo$5o4bo3b2o$2ob7obobo$2bo2bo
2bob5o$2ob2ob2ob2o2b2o$2obob3ob2o$4b2o!
Stator reduction:

Code: Select all

x = 19, y = 17, rule = B3/S345
7b2ob2o$7b2ob2o$5b2o2bob3ob2o$5b6o2b2ob3o$8bob3o2bob2o$5b4obo2b2o$5b2o
bo3b2o$2ob2obob2obob2o$9ob4o$5bo2b2o3b2o$2b2ob4ob2obo$2b2ob2obo3b2o$7b
2obo2b3o$6obob3o2b2o$2o2b2ob2o3b2o$8b2o2b2o$8b2o!
It does tell us that there is a strategy for finding more oscillators like these:
  1. Run a random soup on a torus
  2. Wait 200 generations
  3. Isolate regions of activity
  4. Run these areas until they become locally periodic
  5. Find the minimal stator for each of these rotors

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

Re: B3/S345

Post by CoolCreeper39 »

Methuselahs in B3/S345 (Non record-breakers are not counted):

1-cell bounding box: 1G

Code: Select all

x = 1, y = 1, rule = B3/S345
o!
3-cell bounding box: 2G

Code: Select all

x = 1, y = 3, rule = B3/S345
o$o$o!
5-cell bounding box: 3G

Code: Select all

x = 1, y = 5, rule = B3/S345
o$o$o$o$o!
6-cell bounding box: 9G

Code: Select all

x = 2, y = 3, rule = B3/S345
2o$2o$2o!
8-cell bounding box: 11G

Code: Select all

x = 2, y = 4, rule = B3/S345
bo$bo$2o$bo!
9-cell bounding box: 13G

Code: Select all

x = 3, y = 3, rule = B3/S345
2bo$b2o$3o!
10-cell bounding box: 14G

Code: Select all

x = 2, y = 5, rule = B3/S345
2o$2o$bo$2o$2o!
11-cell bounding boxes fail to produce any more record-breakers.


The smallest infinite-growth pattern in B3/S345 is this, with a 9-cell bounding box:

Code: Select all

x = 3, y = 3, rule = B3/S345
2bo$3o$3o!
Compare this with the smallest infinite-growth pattern in Life, with a 24-cell bounding box:

Code: Select all

x = 2, y = 12, rule = B3/S23
2o2$bo$2o$2o$bo$o$2o$2o$o$o$2o!
User avatar
LaundryPizza03
Posts: 2625
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: B3/S345

Post by LaundryPizza03 »

Two 2c/5o ships, both from Rocknlol's search:

Code: Select all

x = 47, y = 49, rule = B3/S345
35bo6bo$32bo2b2ob2ob2o2bo$35b8o$33bo2bob2obo2bo$32b3ob2o2b2ob3o$32b3ob
ob2obob3o$5bob2obo23bo2bo2bo2bo$5b2o2b2o22b2o3b2o3b2o$3bo2b4o2bo21bob
2o2b2obo$5b6o23b3ob2ob3o$bo2bo6bo2bo20b8o$2b3o6b3o24b2o$2b3o6b3o$7b2o
28b4o$6b4o27bo2bo$5bob2obo$5bob2obo$6b4o27b4o$3b4o2b4o22b3o2b3o$2bo2b
2o2b2o2bo19bo2b2o2b2o2bo$2b2o8b2o19b4o4b4o$3obo6bob3o15bobo10bobo$3o4b
2o4b3o15b4o2b4o2b4o$6b4o22bo4b4o4bo$5bo4bo26b4o$3bo8bo23bo4bo$bo2b2o4b
2o2bo20bo6bo$b2obo6bob2o16b3obo6bob3o$b2ob2o4b2ob2o17b2ob2o4b2ob2o$2bo
bobo2bobobo18b2obob4obob2o$3b3ob2ob3o22b2ob2ob2o$2b3obo2bob3o19bobobo
2bobobo$2b2o3b2o3b2o19b4ob2ob4o$6b4o23b3ob4ob3o$3bobo4bobo22bob4obo$b
3o8b3o17bobo8bobo$b3obo4bob3o17b4o6b4o$33bo3b4o3bo$6b4o27b4o$6b4o$4b8o
23bo6bo$4b8o22b2ob4ob2o$4bo6bo$7b2o$2bo3bo2bo3bo22b2o2b2o$3bob6obo20bo
b8obo$3bo2bo2bo2bo20b2o2bo2bo2b2o$3b4o2b4o21b3o4b3o$4bo6bo22b2o6b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: B3/S345

Post by bprentice »

A 3 state 'Generations' version of this rule.

Some Oscillators:

Code: Select all

x = 241, y = 130, rule = B3/S345/3
133.2A.2A82.BA$132.A.3A.A67.2A.2A6.2A.2A$132.2A.A.2A66.A.3A.A.2A.A.
3A.A$88.BA43.2A.2A60.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$85.2A.2A42.2A
.A.2A58.A.3A.A.2A.A.2A4.2A.A.2A.A.3A.A$84.A.3A.A41.A.3A.A58.2A.A.2A
.A.3A.A4.A.3A.A.2A.A.2A$26.BA56.2A.A.2A42.2A.2A56.2A.2A.A.2A2.2A.2A
6.2A.2A2.2A.A.2A.2A$14.2A2.2A2.2A2.2A57.2A.2A104.2A.A.3A.A16.AB2.A.
3A.A.2A$14.2A2.2A2.2A2.2A56.2A.A.2A42.2A.2A54.2A4.2A.2A22.2A.2A4.2A
$12.2A2.2A2.2A2.2A2.2A54.A.3A.A41.A.3A.A53.2A40.2A$12.2A2.2A2.2A2.2A
2.2A49.2A.2A.2A.2A.2A.2A36.2A.A.2A$30.2A46.A.3A.A5.A.3A.A36.2A.2A52.
4A40.4A$30.2A46.2A.A.2A5.2A.A.2A35.2A.A.2A50.A.2A.A38.A.2A.A$28.2A49.
2A.2A7.2A.2A36.A.3A.A50.2A2.2A38.2A2.2A$28.2A48.2A.A.2A5.2A.A.2A36.
2A.2A52.4A40.4A$30.2A46.A.3A.A5.A.3A.A92.2A2.2A38.2A2.2A$30.2A41.2A
.2A.2A.2A7.2A.2A.2A.2A31.2A.2A51.A.2A.A38.A.2A.A$28.2A42.A.3A.A17.A
.3A.A29.A.3A.A51.4A40.4A$28.2A42.2A.A.2A17.2A.A.2A29.2A.A.2A$30.2A41.
2A.2A19.2A.2A31.2A.2A50.4A44.4A$30.2A40.2A.A.2A17.2A.A.2A29.2A.A.2A
48.A.2A.A42.A.2A.A$28.2A42.A.3A.A17.A.3A.A29.A.3A.A48.2A2.2A42.2A2.
2A$28.2A37.2A.2A.2A.2A19.2A.2A.2A.2A3.2A.2A3.2A.2A3.2A.2A.2A.2A50.4A
44.4A$30.2A34.A.3A.A29.A.3A.A.A.3A.A.A.3A.A.A.3A.A54.2A2.2A42.2A2.2A
$30.2A34.2A.A.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A54.A.2A.A42.A.2A.
A$32.2A33.2A.2A31.2A.2A3.2A.2A3.2A.2A3.2A.2A56.4A44.4A$32.2A32.2A.A
.2A29.2A.A.2A.2A.A.2A.2A.A.2A.2A.A.2A$34.2A30.A.3A.A29.A.3A.A.A.3A.
A.A.3A.A.A.3A.A55.2A48.2A$34.2A25.2A.2A.2A.2A25.2A.2A.2A.2A3.2A.2A3.
2A.2A3.2A.2A.2A.2A7.2A.2A7.2A.2A26.2A48.2A$36.2A22.A.3A.A29.A.3A.A29.
A.3A.A5.A.3A.A5.A.3A.A$36.2A22.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A
5.2A.A.2A25.4A44.4A$38.2A21.2A.2A31.2A.2A31.2A.2A7.2A.2A7.2A.2A25.A
.2A.A42.A.2A.A$38.2A20.2A.A.2A29.2A.A.2A29.2A.A.2A5.2A.A.2A5.2A.A.2A
24.2A2.2A42.2A2.2A$40.2A18.A.3A.A29.A.3A.A29.A.3A.A5.A.3A.A5.A.3A.A
25.4A44.4A$40.2A19.2A.2A.2A.2A19.2A.2A.2A.2A31.2A.2A.2A.2A.2A.2A.2A
.2A.2A.2A25.2A2.2A42.2A2.2A$5.2A35.2A22.A.3A.A17.A.3A.A41.A.3A.A5.A
.3A.A30.A.2A.A42.A.2A.A$5.2A35.2A22.2A.A.2A17.2A.A.2A41.2A.A.2A5.2A
.A.2A31.4A44.4A$40.2A25.2A.2A19.2A.2A43.2A.2A7.2A.2A$5.2A33.2A24.2A
.A.2A17.2A.A.2A41.2A.A.2A5.2A.A.2A33.4A40.4A$5.2A31.2A26.A.3A.A17.A
.3A.A41.A.3A.A5.A.3A.A32.A.2A.A38.A.2A.A$38.2A27.2A.2A.2A.2A13.2A.2A
43.2A.2A7.2A.2A33.2A2.2A38.2A2.2A$5.2A29.2A34.A.3A.A111.4A40.4A$5.2A
29.2A34.2A.A.2A110.2A2.2A38.2A2.2A$34.2A37.2A.2A111.A.2A.A38.A.2A.A
$5.2A27.2A36.2A.A.2A111.4A40.4A$5.2A25.2A38.A.3A.A$32.2A39.2A.2A.2A
.2A108.2A40.2A$5.2A23.2A46.A.3A.A107.2A4.2A.2A22.2A.2A4.2A$5.2A23.2A
46.2A.A.2A109.2A.A.3A.A20.A.3A.A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A49.2A.
2A110.2A.2A.A.2A2.2A.2A6.2A.2A2.2A.A.2A.2A$7.2A.2A.2A.2A.2A.2A.2A.2A
48.2A.A.2A112.2A.A.2A.A.3A.A4.A.3A.A.2A.A.2A$78.A.3A.A112.A.3A.A.2A
.A.2A4.2A.A.2A.A.3A.A$79.2A.2A114.2A.2A2.2A.A.2A.2A.2A.A.2A2.2A.2A$
205.A.3A.A.2A.A.3A.A$206.2A.2A6.2A.2A19$65.2A.2A79.BA$65.5A66.2A11.
2A$63.2A71.2A11.2A$63.2A2.3A64.2A2.2A7.2A2.2A$64.A.A.2A63.A.A2.A.A5.
A.A2.A.A$28.BA33.2A.2A2.2A.2A58.2A.2A.2A5.2A.2A.2A$15.2A.2A5.2A.2A33.
2A.2A2.2A.2A56.2A2.A2.A2.2A.2A2.A2.A2.2A$15.5A5.5A38.2A.A.A57.2A2.A
2.A2.2A.2A2.A2.A2.2A$20.2A.2A43.3A2.2A58.2A.2A.2A5.2A.2A.2A$15.3A2.
2A.2A2.3A43.2A58.A.A2.A.A5.A.A2.A.A$15.2A.A.A3.A.A.2A38.5A61.2A2.2A
7.2A2.2A$10.2A.2A2.2A.2A.2A.2A2.2A.2A33.2A.2A63.2A11.2A69.BA$10.2A.
2A2.2A.2A.2A.2A2.2A.2A101.2A11.2A66.2A.2A$11.A.A.2A11.2A.A.A34.2A.2A
61.2A15.2A57.2A.2A.A.3A.A$10.2A2.3A11.3A2.2A33.5A61.2A15.2A57.2A.2A
.2A.A.2A$10.2A21.2A38.2A57.2A2.2A11.2A2.2A56.A.A3.2A.2A$5.2A.2A2.5A
11.5A2.2A.2A28.3A2.2A56.A.A2.A.A9.A.A2.A.A54.2A.2A.2A.A.2A$5.5A2.2A
.2A11.2A.2A2.5A28.2A.A.A57.2A.2A.2A9.2A.2A.2A54.2A.2A.A.3A.A$10.2A21.
2A28.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.2A.2A7.2A.2A.2A.2A
$5.3A2.2A21.2A2.3A23.2A.2A2.2A.2A54.2A2.A2.A2.2A5.2A2.A2.A2.2A47.5A
7.AB3.A.3A.A$5.2A.A.A23.A.A.2A24.A.A.2A61.2A.2A.2A9.2A.2A.2A66.2A.A
.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A2.3A61.A.A2.A.A9.A.A2.A.A49.5A13.
2A.2A$2A.2A2.2A.2A21.2A.2A2.2A.2A18.2A67.2A2.2A11.2A2.2A50.2A.2A12.
2A.A.2A$.A.A.2A31.2A.A.A21.5A64.2A15.2A69.A.3A.A$2A2.3A31.3A2.2A20.
2A.2A64.2A15.2A52.2A.2A13.2A.2A$2A41.2A87.2A19.2A49.A.3A.A$2.5A31.5A
2.2A.2A15.2A.2A62.2A19.2A49.2A.A.2A12.2A.2A$2.2A.2A31.2A.2A2.5A15.5A
60.2A2.2A15.2A2.2A48.2A.2A13.5A$43.2A18.2A64.A.A2.A.A13.A.A2.A.A46.
2A.A.2A$43.2A2.3A13.2A2.3A59.2A.2A.2A13.2A.2A.2A46.A.3A.A12.5A$44.A
.A.2A14.A.A.2A57.2A2.A2.A2.2A9.2A2.A2.A2.2A45.2A.2A.2A.2A7.2A.2A$43.
2A.2A2.2A.2A8.2A.2A2.2A.2A52.2A2.A2.A2.2A9.2A2.A2.A2.2A50.A.3A.A.2A
.2A$43.2A.2A2.2A.2A8.2A.2A2.2A.2A54.2A.2A.2A13.2A.2A.2A52.2A.A.2A.2A
.2A$48.2A.A.A14.2A.A.A55.A.A2.A.A13.A.A2.A.A53.2A.2A3.A.A$48.3A2.2A
13.3A2.2A55.2A2.2A15.2A2.2A53.2A.A.2A.2A.2A$53.2A18.2A57.2A19.2A55.
A.3A.A.2A.2A$48.5A2.2A.2A8.5A59.2A19.2A56.2A.2A$48.2A.2A2.5A8.2A.2A
57.2A23.2A$53.2A75.2A23.2A$53.2A2.3A8.2A.2A55.2A2.2A19.2A2.2A$54.A.
A.2A8.5A54.A.A2.A.A17.A.A2.A.A$53.2A.2A2.2A.2A.2A59.2A.2A.2A17.2A.2A
.2A$53.2A.2A2.2A.2A.2A2.3A8.2A.2A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.
2A.A.A3.A.A.2A8.5A39.2A2.A2.A2.2A13.2A2.A2.A2.2A$58.3A2.2A.2A.2A2.2A
.2A.2A46.2A.2A.2A17.2A.2A.2A$63.2A.2A.2A2.2A.2A.2A2.3A8.2A.2A28.A.A
2.A.A17.A.A2.A.A$58.5A8.2A.A.A3.A.A.2A8.5A29.2A2.2A19.2A2.2A$58.2A.
2A8.3A2.2A.2A.2A2.2A.2A.2A36.2A23.2A$76.2A.2A.2A2.2A.2A.2A2.3A31.2A
23.2A$71.5A8.2A.A.A3.A.A.2A$71.2A.2A8.3A2.2A.2A.2A2.2A.2A$89.2A.2A.
2A2.2A.2A$84.5A8.2A.A.A$84.2A.2A8.3A2.2A$102.2A$97.5A$97.2A.2A!
The rule has oscillators of every period greater than 2. The first 15 of these:

Code: Select all

x = 92, y = 39, rule = B3/S345/3
7.BA15.BA15.BA3.BA17.BA19.BA$7.2A15.2A14.2A.2A.2A17.2A16.2A.2A$5.A.
2AB14.2A14.2A.2A.2A17.2A16.2A.2A$4.B2A.A15.AB14.AB3.AB16.2A18.AB$5.
2A56.2A$5.AB56.AB8$5.BA17.BA20.BA12.BA22.BA$5.2A14.2A.2A14.2A.2A.2A
12.2A22.2A$5.2A14.2A.2A14.2A.2A.2A12.2A22.2A$23.AB.2A12.AB20.2A.2A19.
2A$26.2A34.2A.2A19.2A$67.2A$67.2A$67.AB5$9.BA13.BA11.BA21.BA15.BA$2A
.2A.2A.2A10.2A.2A11.2A21.2A15.2A$2A.2A.2A.2A10.2A.2A11.2A21.2A15.2A
$AB37.2A21.2A15.2A$39.2A21.2A15.2A$41.2A.2A18.2A15.2A.2A$41.2A.2A18.
2A15.2A.2A$46.2A38.2A$46.2A38.2A$48.2A38.2A$48.2A38.2A$48.AB40.2A$90.
2A$90.AB!
A replicator and oscillator:

Code: Select all

x = 3, y = 4, rule = B3/S345/3
.B$3A$3A$.B!

Code: Select all

x = 31, y = 31, rule = B3/S345/3
5.AB.BA3.AB.BA$5.2A.2A3.2A.2A$5.2A.2A3.2A.2A$5.AB.BA3.AB.BA2$4A$B2A
B2$B2AB$4A4$4A23.4A$B2AB23.B2AB2$B2AB23.B2AB$4A23.4A4$27.4A$27.B2AB
2$27.B2AB$27.4A2$13.AB.BA3.AB.BA$13.2A.2A3.2A.2A$13.2A.2A3.2A.2A$13.
AB.BA3.AB.BA!
Ships:

Code: Select all

x = 5, y = 39, rule = B3/S345/3
2.2A$B.B2A$.3A$.B13$.B$.3A$2.B2A$.3A$.B13$.B$.3A$2.B2A$2.B2A$.3A$.B!
Still life patterns:

Code: Select all

x = 143, y = 12, rule = B3/S345/3
2A19.2A.2A20.2A.2A22.2A.2A26.2A.2A27.2A$2A19.2A.2A19.A.3A.A21.5A25.
A.3A.A.2A23.2A$22.A.A20.2A.A.2A19.2A30.2A.A.2A.2A21.2A2.2A$21.2A.2A
20.2A.2A20.2A2.3A22.2A.2A.A.2A23.A.A2.A.A$21.2A.2A19.2A.A.2A20.A.A.
2A22.2A.A.3A.A23.2A.2A.2A$45.A.3A.A19.2A.2A2.2A.2A21.2A.2A22.2A2.A2.
A2.2A$46.2A.2A20.2A.2A2.2A.2A48.2A2.A2.A2.2A$76.2A.A.A51.2A.2A.2A$76.
3A2.2A50.A.A2.A.A$81.2A51.2A2.2A$76.5A55.2A$76.2A.2A55.2A!
With this minor change,

R.png
R.png (103.36 KiB) Viewed 7763 times

The rule is omniperiodic.

The first 18 oscillators:

Code: Select all

#Rule = Rule Table
#States = 3
#Counts = 9
#SW 0,1,0
#NW 0,0,0,0,0
#NW 0,1,1,1,0
#NW 0,1,0,1,0
#NW 0,1,1,1,0
#NW 0,0,0,0,0
#RT 0,0,0,1,0,0,0,0,0
#RT 2,2,2,1,1,1,2,2,2
#RT 1,0,0,0,0,0,0,0,0
#Rows = 39
#Columns = 112
#L 4.A18.BA15.BA16.BA3.BA16.BA19.BA$23.2A15.2A15.2A.2A.2A16.2A16.2A.2A
#L $21.A.2AB14.2A15.2A.2A.2A16.2A16.2A.2A$20.B2A.A15.AB15.AB3.AB15.2A18.
#L AB$21.2A56.2A$21.AB56.AB7$3.BA17.BA20.BA13.BA20.BA23.BA$3.2A14.2A.2A
#L 14.2A.2A.2A13.2A20.2A14.2A.2A.2A.2A$3.2A14.2A.2A14.2A.2A.2A13.2A20.
#L 2A14.2A.2A.2A.2A$21.AB.2A12.AB21.2A.2A17.2A12.AB$24.2A35.2A.2A17.2A
#L $66.2A$66.2A$66.AB6$3.BA10.BA22.BA13.BA22.BA30.BA$2A.2A10.2A22.2A13.
#L 2A22.2A15.2A.2A.2A.2A.2A.2A$2A.2A10.2A22.2A13.2A22.2A15.2A.2A.2A.2A
#L .2A.2A$17.2A22.2A13.2A22.2A.2A10.AB$17.2A22.2A13.2A22.2A.2A$19.2A.2A
#L 19.2A13.2A.2A$19.2A.2A19.2A13.2A.2A$24.2A37.2A$24.2A37.2A$26.2A37.2A
#L $26.2A37.2A$26.AB39.2A$67.2A$67.AB
See also this related thread:

https://www.conwaylife.com/forums/viewt ... 045#p49184

Brian Prentice
Last edited by bprentice on July 17th, 2021, 8:53 am, edited 1 time in total.
User avatar
Aleph
Posts: 2278
Joined: February 18th, 2021, 11:18 am

Re: B3/S345

Post by Aleph »

2c/5 wickstretcher with 6c/16 fuse:

Code: Select all

x = 31, y = 7, rule = 345/3/3
2.B2.A.A.A.A.A.A.A.A.A.A.A$.A.26A$B2A.A.A.A.A.A.A.A.A.A.A.A.A.2A$28.3A
$B2A.A.A.A.A.A.A.A.A.A.A.A.A.2A$.A.26A$2.B2.A.A.A.A.A.A.A.A.A.A.A!
User avatar
May13
Posts: 1085
Joined: March 11th, 2021, 8:33 am

Re: B3/S345

Post by May13 »

(2,1)c/5 wave (spacefiller):

Code: Select all

x = 14, y = 45, rule = B3/S345:T4000+9,45
9b2obo$8b2ob2o$9b2o2bo$9bob2o$9b3obo$8b2obo$7b2ob2o$8b2o2bo$8bob2o$8b
3obo$7b2obo$6b2ob2o$7b2o2bo$7bob2o$7b3obo$6b2obo$5b2ob2o$6b2o2bo$6bob
2o$6b3obo$5b2obo$4b2ob2o$5b2o2bo$5bob2o$5b3obo$4b2obo$3b2ob2o$4b2o2bo$
4bob2o$4b3obo$3b2obo$2b2ob2o$3b2o2bo$3bob2o$3b3obo$2b2obo$b2ob2o$2b2o
2bo$2bob2o$2b3obo$b2obo$2ob2o$b2o2bo$bob2o$b3obo!
[[ ZOOM 4 TRACK -11/25 0 ]]
(2,1)c/5 partials from unsuccessful w23 floating-rows search in LSSS:

Code: Select all

x = 206, y = 29, rule = B3/S345
2$187bo$185b3ob4o$107bo76b2obo2bobo$105b3obo74b3obo3b2o$104b2o2bobo73b
o2b2obo$28bo74b2o3b4o71b3o2bobobo3b3o$23bo3b4o69bo2bo5bo2bo69b2o2b2obo
b2o3b3o$18bo3b6obo69b3obobo3b2o41bo30b2o3bob2obo3b3o$13bo3b6obobo3bo
36bo32bo2bo2b3o2bo39b4o26b3o4b3ob2obobobo$12b6obobobob4o33bo3b4o24bo5b
3ob2ob2obo35b2o2b2o2bob3o22b2o8b2o3b5o$11b2obobobob4obo31bo3b6obob2o
21b3ob8obo38b4ob2o4b2o23bo4b3ob2o3bo4bo$15b4obo3bobo24bo4b6obobobob3o
20b4ob4o4b2obo36b3o3bob3o2bo25bobo2b2obo4b2ob2o$10bo2bobo3bob4ob2o21b
3o3b2obobobob3o2bo20b2o4bo3b4obo3bo32bo2bo3bo3bo3bo2bo22bo2b2ob4obo2b
2o$7b4obo6bobo3bo22b2o2bo6b3o2bo5bo19b2o4b2obo2bo3b2o30b4o2b2o3b7obob
3o21bo3b2ob2ob7o$7b2o3bo2b2o3bob2obo21b2o3b2o4b2o8b2o24bob2o2b4ob2o30b
3o2bo3b2ob4obo5bobo21b2o2bo4bobobo$8bo3bob2obo2bobo24bo2b2obo6b2o4bo
22bo3bo2b3obo36b2obob5obo2b2ob2o3b2obo21b2o3bo3b5o$5b4o2bo3bobo29b3o9b
o5bo21b4o2b2o2b2o6bobo28b2o10b2o11b2o22bo3bo2bo5b4o$4b2o7b6o27bo3b3o
11b2o20b2o2b3o4bob2o2b3obo28b4o5b3o39b2o2b3obobo3b2o$3b2ob3o7b3o25b2o
3bob4o4b2o3b3o20b2o9b2o2bobobo26bo2bo3b5o3b2o36bo3bo2bobobobob2o$3b2ob
ob5o2bobo26b3obo4bob2ob4o25bob4o4b2ob2o4bo24b3obobobo3bobo2bobo32b3obo
3bo3bobobob2o$2b3o4b2o3bo31b2ob2obob2o3bo2bo22bo11bob2obob2ob2o21b2o2b
obo3b2obob3obo33b2o2bo2bo3b3o3b3o$45b4o3bobo3bob2o22b12ob5o27b2obobo4b
o3bo2bo2b2o37bo4b4o$46b2ob3obo3bo2bo23bob10obobobo2bo24bo2bo9b2ob2o34b
2ob2ob2o4bo2b2ob2obo$48b2o3bobobo2b2o23bo3bobob4o6bo25b3ob2ob2o3b2ob2o
bo33b4obo3b3o3bo$47b4o4bobo76b3ob2ob3o2bo34bo2b2o2b2o2bo4bobobo$135bo
4b3o2b2o38b4o4bobobo3bo$128b4o4b4o2b3o!
Spaceship databases:
new-gliders.db (30683 gliders, square grid)
hex-gliders.db (668 gliders, hexagonal grid)
My scripts: new-glider.py v0.2, nbsearch2a.py, collector.py v0.3

-Dmitry Maitak
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LaundryPizza03
Posts: 2625
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Re: B3/S345

Post by LaundryPizza03 »

c/4 diagonal, the first diagonal speed:

Code: Select all

x = 29, y = 29, rule = B3/S345
20bo$19b2o$19bo2bo$16bob2ob2o$12b2ob2obo2bobo$12b4o4b3obo$10b2ob4o6bob
2o$12b5o6b3o$9b2obob2ob2o4bo3b2o$9b2o3b2o9b3o$14b2ob2obo3b2o$16b3obo$
15b3o3b2ob2o$12b2o2bob7o$4b2o6b2o4b6o$2b7ob3ob2o5b4o$o2b2ob2o3bob3o4b
2ob2o$2o2bob2o2bob2o8bo$3o4b3obobo5b2obo$8bobo8b2o$9b2o2bo$10b4o$11b3o
$13b2o$11b4o$12b2o$10bo2bo$10b2o$10b3o!
EDIT: This ship is identical to the one in the first post.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia
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Layz Boi
Posts: 294
Joined: October 25th, 2018, 3:57 pm

Re: B3/S345

Post by Layz Boi »

A few oscillators that aren't (entirely) billiard tables, nor are they xor-based: periods {3, 7, 11, 14, 17, 25, 29}

Code: Select all

x = 153, y = 58, rule = B3/S345
3bobobo15bobobo16bo7bo12bo3bo3bo13bo3bobobo16bobobo3bobobo12bobobo3bo
bobo2$7bo19bo16bo7bo12bo3bo3bo13bo7bo20bo3bo20bo3bo3bo2$5bobo19bo16bo
7bo12bo3bobobo13bo7bo16bobobo3bobobo12bobobo3bobobo2$7bo19bo16bo7bo12b
o7bo13bo7bo16bo11bo12bo11bo2$3bobobo19bo16bo7bo12bo7bo13bo7bo16bobobo
3bobobo12bobobo3bobobo5$83b2o2bobo5bobo2b2o$22bo5bo18b2o34b7o5b7o$22b
3ob3o15bob4obo12bobo5bobo6b2o2bo3b2o3b2o3bo2b2o30b2o2bo9bo2b2o$2o6b2o
10b3o5b3o11b5o2b5o11bo2b3o2bo7b2o2b5o5b5o2b2o30b8o3b8o$10o8b3o9b3o9b2o
2bo2bo2b2o9b3obobobob3o7b2obob2o5b2obob2o12b2o24bo5bo$18b2ob4ob4ob2o11b
ob4obo13bobobobobo9b3o13b3o12b2o18b7o5b7o$2b6o12bobo5bobo13b3o2b3o12b
2ob5ob2o35b2o8b2o12b2obobo7bobob2o$2b2o2b2o12bob3ob3obo12b2o6b2o12bob
o3bobo9b3o13b3o8b6o2b4o$19b2obobobobob2o11b2o6b2o11b2ob2ob2ob2o8b2obo
b2o5b2obob2o10bo2b4obo$20b2ob2ob2ob2o33b2ob2ob2ob2o6b2o2b5o5b5o2b2o9b
3obo2bo$20b2ob2ob2ob2o50b2o2bo3b2o3b2o3bo2b2o13b5o12b2obobo7bobob2o$83b
7o5b7o12b3o3bo13b7o5b7o$83b2o2bobo5bobo2b2o14bobobo2b2o15bo5bo$116b9o
9b8o3b8o$120bobo2b2o7b2o2bo9bo2b2o$45b2o3b2o66b3obo2b2o$42bob4ob4obo64b
o2b3o$40b5ob2ob2ob5o61b2o2bobo$40b2o2bobo3bobo2b2o62b5o$45b3ob3o65b2o
2bo$44b2obobob2o61b2o2b4o$45b2o3b2o61b5o4b2o$45bob3obo65bob5o$46b2ob2o
67b4o2$118b4o$117bob5o$113b5o4b2o$114b2o2b4o$117b2o2bo$119b5o$118b2o2b
obo$119bo2b3o$118b3obo2b2o$120bobo2b2o$116b9o$116bobobo2b2o$114b3o3bo
$117b5o$113b3obo2bo$112bo2b4obo$110b6o2b4o$110b2o8b2o$114b2o$114b2o!
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actinophrys
Posts: 27
Joined: November 9th, 2025, 4:31 pm
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Re: B3/S345

Post by actinophrys »

This has been one of my favourite rules. Since it doesn't seem to have been brought up yet, here is a fuse to go with the simple wickstretcher that Sphenocorona had mentioned. There are also shoots that can run up the side but they quickly outrun the front (putting two of the common spaceships side by side will generate two variants).

Code: Select all

x = 22, y = 12, rule = B3/S345
boo$oo3bobobo$b10obbobbo$bbobobobobo3boboo$bbobobobobo3boobbo$b10o6bo$
oo3bobobo5b4o$boo13bo3boo$16b4o$17boo$18b3o$21bo!
Also for the record here are the smallest p4 and p3 I know, with 11 and 23 cells, though the second seems like it could still be improved upon.

Code: Select all

x = 18, y = 5, rule = B3/S345
bbo$5obboobb3o$5obb5obboo$9bobob5o$12boobboo!
Edit: Apologies, evidently I was not being nearly careful enough there. Besides missing the p3 Nasvadi posted, I overlooked the little xor-based p4s with 10 cells (though a larger bounding box).

Code: Select all

x = 19, y = 5, rule = B3/S345
b3o4boo5boo$3o5boo4b3o$3boo3boboo5boo$3boo5b3o4boo$18bo!
Last edited by actinophrys on January 3rd, 2026, 6:38 pm, edited 3 times in total.
Working on collection of small patterns for life-like rules
Naszvadi
Posts: 1465
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Re: B3/S345

Post by Naszvadi »

actinophrys wrote: December 27th, 2025, 3:02 am ...

Also for the record here are the smallest p4 and p3 I know, with 11 and 23 cells, though the second seems like it could still be improved upon.

pattern
rlifesrc provided the following period 3 oscillator with 20 min.pop.:

Code: Select all

x = 8, y = 6, rule = B3/S345
2b2o$2b2o2b2o$3b5o$bobobo$2ob2o$bobo!
Bounding box can be improved, with the latter objective there are Pareto-minimals.
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Layz Boi
Posts: 294
Joined: October 25th, 2018, 3:57 pm

Re: B3/S345

Post by Layz Boi »

Some things I discovered & built 30 January 2026:

P64 c/2 gun:

Code: Select all

x = 186, y = 68, rule = B3/S345
89b2ob2ob2o$89b8o$91bo2bo7$5b2o74b2o20b2o74b2o$5b2o74b2o20b2o74b2o$6b
2o72b2o22b2o72b2o$6bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$7b74o24b74o$9bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$23bo51bo34bo51b
o$23bo51bo34bo51bo$23bo138bo$23bo138bo$23bo55bo26bo55bo$23bo55bo26bo55b
o$b2o20bo138bo20b2o$b2o20bo138bo20b2o$2o21bo63bo10bo63bo21b2o$b2o20bo
63bo10bo63bo20b2o$bo21bo63bo10bo63bo21bo$3o20bo63bo10bo63bo20b3o$bo21b
o63bo10bo63bo21bo$2o21bo63bo10bo63bo21b2o$b2o20bo63bo10bo63bo20b2o$b2o
20bo63bo10bo63bo20b2o$23bo63bo10bo63bo$23bo63bo10bo63bo$b2o20bo63bo10b
o63bo20b2o$b2o20bo63bo10bo63bo20b2o$23bo63bo10bo63bo$23bo63bo10bo63bo
$b2o20bo63bo10bo63bo20b2o$b2o20bo63bo10bo63bo20b2o$2o21bo63bo10bo63bo
21b2o$bo21bo63bo10bo63bo21bo$3o20bo63bo10bo63bo20b3o$bo21bo63bo10bo63b
o21bo$b2o20bo63bo10bo63bo20b2o$2o21bo63bo10bo63bo21b2o$b2o20bo138bo20b
2o$b2o20bo138bo20b2o$23bo55bo26bo55bo$23bo55bo26bo55bo$23bo138bo$23bo
138bo$23bo51bo34bo51bo$23bo51bo34bo51bo$9bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$7b74o24b74o$6bobobobo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo22b
obobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
obobobo$6b2o72b2o22b2o72b2o$5b2o74b2o20b2o74b2o$5b2o74b2o20b2o74b2o7$
91bo2bo$89b8o$89b2ob2ob2o!
P64 Splitter.
Parts include: converters from the ship the gun above produces, to the c/2 that the turners and ANOT gates work with. Input and output ships are the same phase.

Code: Select all

x = 210, y = 298, rule = B3/S345
104b2o18b2o$104b4o14b4o$106bobo12bobo$107b2o12b2o$108b2o10b2o$108bo12b
o$107b2o12b2o$107b3o10b3o$108bo12bo$108bo12bo$107b16o$108bo12bo$108bo
12bo$107b3o10b3o$108bob10obo$108bo12bo$107b3o10b3o$107b2o12bo$108bob10o
bo$108b2o10b3o$3b2o11b2o89b2o12b2o$3b2o11b2o88bobo12bo$4b2o9b2o87b5o3b
10o$3b2obo2bobo2bob2o86b2o15b2o$5b11o105bobo$7bo2bo2bobo106b4o$11bo28b
o31bo31bo19b2o$5bo5bo26b3o29b3o29b3o$2o9bo26b2o30b2o30b2o$2o9bo26b3o29b
3o29b3o$b2o8bo28bo31bo31bo$bo9bo$3o8bo$bo9bo$b2o8bo$2o9bo$bo2bo2bo2bo
18b2o74b2o20b2o74b2o$13o16b2o74b2o20b2o74b2o$2obo2bobo2bobo16b2o72b2o
22b2o72b2o$12b2o3b2ob2o8bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$13b2o3b3o10b74o24b74o$13b2o3b
3o12bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo28bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo$47bo31bo74bo31bo$47bo31bo74bo31bo$47bo31bo74bo31bo$47bo31b
o74bo31bo$47bo31bo35b4o35bo31bo$47bo31bo35b4o35bo31bo$25b2o20bo31bo34b
2o2b2o34bo31bo20b2o$25b2o20bo31bo74bo31bo20b2o$24b2o21bo31bo74bo31bo21b
2o$25b2o20bo31bo74bo31bo20b2o$25bo21bo31bo74bo31bo21bo$24b3o20bo31bo74b
o31bo20b3o$25bo21bo31bo74bo31bo21bo$24b2o21bo31bo74bo31bo21b2o$25b2o20b
o31bo74bo31bo20b2o$25b2o52bo74bo52b2o$79bo74bo$39bo39bo74bo39bo$25b2o
12bo39bo74bo39bo12b2o$25b2o12bo39bo74bo39bo12b2o$39bo39bo74bo39bo$79b
o74bo$25b2o52bo74bo52b2o$25b2o20bo31bo74bo31bo20b2o$24b2o21bo31bo74bo
31bo21b2o$25bo21bo31bo74bo31bo21bo$24b3o20bo31bo74bo31bo20b3o$25bo21b
o31bo74bo31bo21bo$25b2o20bo31bo74bo31bo20b2o$17b2ob2o2b2o21bo31bo74bo
31bo21b2o$18b3o4b2o20bo31bo74bo31bo20b2o$18b3o4b2o20bo31bo34b2o2b2o34b
o31bo20b2o$47bo31bo35b4o35bo31bo$47bo31bo35b4o35bo31bo$47bo31bo74bo31b
o$47bo31bo74bo31bo$47bo31bo74bo31bo$47bo31bo74bo31bo$33bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$31b74o24b
74o$30bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bob2obo2bo3bo2bo2bo2bo2bo2bo2b
o2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bobobobo$30b2o27b2o10b2o31b2o22b2o72b2o$29b2o29b2o8b2o33b
2o20b2o74b2o$29b2o29bo10bo33b2o20b2o74b2o$59b2ob8ob2o$60b2o8b2o$59b2o
b8ob2o$60bo10bo$60b2o8b2o$59b2o10b2o$58bobo10bobo$56b4o12b4o$56b2o16b
2o3$23bo31bo31bo$23b3o29b3o29b3o$24b2o30b2o30b2o$23b3o29b3o29b3o$11b2o
10bo31bo31bo$11b4o53bo$13bobo51b3o$14b2o15b2o34bobo$15b10o3b5o34bobo$
15bo12bobo$14b2o12b2o$15b2o10b2o$14b2ob10obo$15bo12b2o$15b2o10b2o$14b
2o12b2o$13bob2o11bo$11b4o12b2o$11b2obo13b2o$21bobobo2bo$19b11o$19b2o2b
o2bob2o8$114b5o4$101b2o27b2o$101b4o23b4o$103bobo21bobo$104b2o21b2o$68b
o36b7o9b7o$67b3o35bo21bo$67bobo34b2o21b2o$67bobo34b3o19b3o$105bo21bo$
105bo21bo$104b3o19b3o$105bo21bo$105bo21bo$104b3o19b3o$105bo21bo$105bo
21bo$104b3o19b3o$105bo21bo$105bo21bo$104b3o19b3o$105bo21bo$105bo21bo$
104b3o19b3o$105bo21bo$105bo21bo$104b3o19b3o$105bo21bo$105bo21bo$104b25o
$105bo21bo$105bo21bo$104b3o19b3o$105bo21bo$104b2o21b2o$105b2o19b2o$104b
2o21b2o$68bo34bobo21bobo$67b3o31b4o23b4o$67bobo31b2o27b2o$67bobo29$68b
o$67b3o$67bobo$67bobo29$68bo$67b3o$67bobo$67bobo29$68bo$67b3o$67bobo$
67bobo29$68bo$67b3o$67bobo$67bobo!
P8 ANOT gate for two c/2 ships of the same phase, because the one in the above uses two c/2's that are of different phases. Repeat time >= 40:

Code: Select all

x = 87, y = 58, rule = B3/S345
69b2o2bo2bo2bo$69b13o$68b2o2bobo2bo2bobo$68bo12b2o$67b2o13b2o$68b13obo
$68bo12b2o$67b2o13b2o$68b2o12bo$68bob13o$67b2o13b2o$68b2o12bo$67b2o12b
2o$66bob2o5b2o5b2o$64b4o14bobo$64b2obo15b4o$85b2o$75b2o4$3o61b3o$2b2o
62b2o5bo$3o61b3o5b3o$72bobo$72bobo29$73bo$72b3o$72bobo$72bobo!
Miscellaneous other things:

Code: Select all

x = 226, y = 266, rule = B3/S345
7b2o2b2o7b2ob2o$8b4o9b3o$8b4o9b3o$49b2obo2bo2bob2o$48bob11obo$48b2obo
2bobo2bob2o118bo2bobo2b2o$47b2o13b2o115b12o$48bo13bo115bobo2bo2b2o2b2o
$48b2o11b2o115b2o11bo$47b2o13b2o113b2ob10ob2o$48bo13bo115bo11b2o$8bo2b
o8b2obo24b2o11b2o115b12obo$6b8o4b3ob4o21b2o13b2o113b2o12b2o$6b2ob2ob2o
4b2ob2ob2o22bo13bo115bob12o$48b15o58b2o23b2o30b2o11bo$47b2o13b2o57b2o
23b2o29b2ob10ob2o$46bobo13bobo57b2o21b2o31bo11b2o$44b4o15b4o55bobo2b2o
2bo2bo2bo2b2o2bobo31b2o11b2o$44b2o19b2o56b23o31b2o12bobo$125bo2bo2bo2b
o2bo2bo2bo32bobo13b4o$132bobo5bobo31b4o16b2o$60bo15bo15bo39bobo5bobo
31b2o$58b3o13b3o13b3o39bobo5bobo$58b2o14b2o14b2o40bobo5bobo$58b3o13b3o
13b3o39bobo5bobo50b3o$60bo15bo15bo39bobo5bobo49b2o$132bobo5bobo18b3o
29b3o$132bobo5bobo17b2o$132bobo5bobo18b3o$132bobo5bobo52bo$132bobo5bob
o51b3o$132bobo5bobo51bobo$132bobo5bobo51bobo$132bobo5bo$125bo2bo2bo2bo
2bo2bobo$123b20o$122bobo2b2o2bo2bo2b2o2bobo$122b2o18b2o$121b2o20b2o$
121b2o20b2o23$79b2ob2ob2o103b2ob2ob2o$79b3ob4o103b3ob4o$81b2obo107b2ob
o7$2o68b2o16b2o68b2o$2o68b2o16b2o68b2o$b2o66b2o18b2o66b2o$bobobobo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo18bobobobo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$2b68o
20b68o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo24bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bobo$26bobo13bobo13bobo5bob
o22bobo5bobo13bobo13bobo$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bob
o65b2o$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bobo65b2o$26bobo13bob
o13bobo38bobo13bobo13bobo66b2o$26bobo13bobo13bobo38bobo13bobo13bobo66b
obobo2bo2bo$26bobo13bobo13bobo38bobo13bobo13bobo67b12o$26bobo13bobo13b
obo38bobo13bobo13bobo69bo2bo2bo2b3o$26bobo13bobo13bobo13bobo6bobo13bob
o13bobo13bobo40b3o13b3o9bobo8b2o$26bobo13bobo13bobo13bobo6bobo13bobo
13bobo13bobo42b2o14b2o8bobo8bo$26bobo13bobo13bobo13bobo6bobo13bobo13bo
bo13bobo40b3o13b3o9bobo7b2o$26bobo13bobo13bobo13bobo3bo2bobo13bobo13bo
bo13bobo68bobo7b3o$26bobo13bobo13bobo18b3o17bobo13bobo13bobo68bobo8bo$
26bobo13bobo13bobo18bobo17bobo13bobo13bobo68bobo8b2o$26bobo13bobo13bob
o18bobo17bobo13bobo13bobo58b3o7bobo7b2o$26bobo13bobo13bobo38bobo13bobo
13bobo58b3o7bobo8bo$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bobo57b
2ob2o6bobo8b2o$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bobo68bobo7b
2o$26bobo13bobo13bobo5bobo22bobo5bobo13bobo13bobo68bo2bo2bo2bobo$26bob
o13bobo13bobo5bobo22bobo5bobo13bobo13bobo66b13o$4bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo24bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo43bobo2bo2bo2bo$2b68o20b68o
41b2o$bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
obobobo18bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bobobobo39b2o$b2o66b2o18b2o66b2o39b2o$2o68b2o16b2o68b2o$2o68b2o16b2o
68b2o5$192b3o$192b3o$191b2ob2o11$80bo$79b3o$79bobo$79bobo3$11b2o27b2o$
11b4o23b4o$13bobo21bobo$14b2o21b2o$15b2o19b2o$14b2o21b2o$15bo21bo$14b
3o19b3o$15bo21bo$15bo21bo$14b3o19b3o$15bo21bo$15bo21bo$14b3o19b3o$15bo
21bo$15bo21bo$14b3o19b3o$15bo21bo$15bob19obo$14b3o19b3o$15bo21bo$15bo
21bo$14b3o19b3o$15bo21bo$15bo21bo$14b3o19b3o$15bo21bo$15bo21bo$14b3o
19b3o$15bo21bo$15bo21bo$14b3o19b3o$14b2o21b2o23b15o$15bo21bo$15b23o$
14b2o21b2o$13bobo21bobo22b15o$11b4o23b4o$11b2o27b2o6$75bo$73b3o$73b2o$
32b3o38b3o$31b2o42bo$27bo4b3o31b7o$26b3o$26bobo$26bobo$66b7o29$18bo2bo
2bo2b2o$16b13o154b2o2bobo2bo$15bobo2bo2bobo2b2o153b12o$15b2o12bo152b2o
2b2o2bo2bobo$14b2o13b2o85b2o2b2o60bo11b2o$15bob13o82b2o2b2o2b2o2b2o55b
2o12b2o$15b2o12bo82b2o10b2o56b2o11bo$14b2o13b2o82b12o57bo11b2o$15bo12b
2o83bo10bo56b2o12b2o$15b13obo82b2ob8ob2o56b2o11bo$14b2o13b2o82b2o8b2o
57bo11b2o$15bo12b2o82b2ob8ob2o55b2ob10ob2o$15b2o12b2o82bo10bo57b2o11bo
$14b2o5b2o5b2obo81b12o56b2ob12o$13bobo14b4o78b2o10b2o54bobo12b2o$11b4o
15bob2o77bobo10bobo51b4o13bobo$11b2o96b4o12b4o49b2o16b4o$21b2o86b2o16b
2o69b2o3$116bo7bo31bo36bo31bo$31b3o61b3o17b3o4b3o29b3o34b3o29b3o$24bo
5b2o62b2o19bobo4b2o30b2o30bo4b2o30b2o$23b3o5b3o61b3o17bobo4b3o29b3o28b
3o3b3o29b3o$23bobo98bo31bo28bobo5bo31bo$23bobo159bobo11$116bo$115b3o$
115bobo68bo$115bobo67b3o$185bobo$185bobo13$24bo$23b3o$23bobo$23bobo!
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Naszvadi
Posts: 1465
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Re: B3/S345

Post by Naszvadi »

Layz Boi wrote: January 31st, 2026, 10:30 pm Some things I discovered & built 30 January 2026:

cool patterns
Adjustable gun based on splitter, converters and right angle turners, period is 512:

Code: Select all

x = 109, y = 143, rule = B3/S345
2o68b2o$2o68b2o$b2o66b2o$bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bobobobo$2b69o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$22bobo5bobo5bobo5bobo5bobo$22bobo5bobo
5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo$
22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo
5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo
5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo
5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo
5bobo5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo
5bobo$22bobo5bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo$22bob
o5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo5bobo$22bobo5bobo5bobo5bobo
5bobo$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo$2b69o$bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bobobobo6b2o$b2o66b2o6bobo$2o68b2o5b4o$2o68b2o3$52b2o2bo2bob2o$52b
11o$54bobobo2bo$44b2o15b2o$44b4o12b2o$46bobo12bo$47b2o12b2o$48b14o23b
2o20b2o$48bo12b2o22b2o20b2o$47b2o12bo24b2o18b2o$48b2o10b2o24bobo2b2o2b
o2bo2b2o2bobo$47b2o9bo2b2o23b21o$48bo12bobo25bo2bo2bo2bo2bo2bo$48b2o
12b4o34bobo$47b2o15b2o34bobo$46bob2ob5o44bobo$44b4o52bobo$44b2o38bobo
13bobo$84bobo13bobo$84bobo13bobo$84bobo13bobo$84bobo13bobo$84bobo13bob
o$100bobo$100bobo$100bobo$100bobo$89bo2bo2bo2bo2bo2bo$86b21o$86bobo2b
2o2bo2bo2b2o2bobo$86b2o18b2o$7b2o35b2o39b2o20b2o$7b2o35b2o39b2o20b2o$
8b2o33b2o$8bobobobo2bo2bo2bo2bo2bo2bo2bo2b2o2bobo$9b36o$11bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo$20bobo5bobo5bobo$20bobo5bobo5bobo$20bobo5bobo5bo
bo$20bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo
5bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bob
o5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bo
bo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bobo5bobo$20bobo5bobo5bobo$
20bobo5bobo5bobo$20bobo5bobo5bobo23b2o27b2o$20bobo5bobo5bobo23b4o23b4o
$11bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo22bobo21bobo$9b36o20b2o21b2o$8bobob
obo2bo2bo2bo2bo2bo2bo2bo2b2o2bobo21b2o19b2o$8b2o33b2o21bo21bo$7b2o35b
2o19b2o21b2o$7b2o35b2o19b3o19b3o$66bo21bo$66bob19obo$65b3o19b3o$66bob
19obo$66bo21bo$65b25o$66bo21bo$66bob19obo$65b3o19b3o$66bo21bo$66bo21bo
$65b3o19b3o$66bo21bo$66bo21bo$65b3o19b3o$66bo21bo$66bo21bo$65b7o11b7o$
66bo21bo$66bob4o11b4obo$65b3o19b3o$66bob4o11b4obo$66bo21bo$65b7o11b7o$
66bo21bo$65b2o21b2o$66b2o19b2o$65b2o21b2o$64bobo21bobo$62b4o23b4o$62b
2o27b2o14$50b2obo$48b3ob4o$48b2ob2ob2o!
[APPEND#1]
90 degree turner of the c/2 ship with even symmetry:

Code: Select all

x = 215, y = 119, rule = B3/S345
104b2o18b2o$104b4o14b4o$106bobo12bobo$107b2o12b2o$108b2o10b2o$108bo12b
o$107b2o12b2o$107b3o10b3o$108bo12bo$108bo12bo$107b3o10b3o$108bo12bo$
108bob10obo$107b3o10b3o$108bo12bo$108bo12bo$107b3o10b3o$107b2o12bo$
108bo12bo$108b2o10b3o$3b2o11b2o89b2ob10ob2o$3b2o11b2o88bobo12bo$4b2o9b
2o87b4o12b2o$4bobo2bobo2bob2o86b2o15b2o$5b11o105bobo$5bobo2bo2bo108b4o
$9bo15bo31bo31bo34b2o$5bo3bo5bo7b3o29b3o29b3o$2o3bo3bo13b2o30b2o30b2o$
2o3bo3bo3bo3bo5b3o29b3o29b3o$b2o2bo3bo15bo31bo31bo$bo3bo3bo105b4o$3o2b
o3bo105b4o$bo3bo3bo104b2o2b2o$b2o2bo3bo$2o3bo3bo$bo2bo2bo2bo18b2o74b2o
20b2o74b2o$13o16b2o74b2o20b2o74b2o$2obo2bobo2bobo16b2o72b2o22b2o72b2o$
12b2o16bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bobobobo$13b2o16b74o24b74o$13b2o18bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$49bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo$25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$25b2o22bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo22b2o$24b2o23bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo23b2o$25b
2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$25bo23bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
23bo$24b3o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b3o$17b2ob2o3bo23bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo23bo$18b3o3b2o23bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo23b2o$18b3o
4b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$25b2o22bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo22b2o$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$
25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$25b2o22bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo22b2o$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$
25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$25b2o22bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo22b2o$24b2o23bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo23b2o$25bo23bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo23bo$24b3o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b3o$25bo23bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo23bo$25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$24b2o23b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo23b2o$25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$
25b2o22bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo14bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo22b2o$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$49bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo30bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo$33bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo28bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo$31b74o24b74o$30bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bob2obo2bo
3bo2bo2bo2bo2bo2bo2bo2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$30b2o27b2o10b2o31b2o22b2o
72b2o$29b2o29b2o8b2o33b2o20b2o74b2o$29b2o29bo10bo33b2o20b2o74b2o$17b2o
b2o37b2o10b2o$18b3o39b2o8b2o$18b3o38b2ob8ob2o41b2o2b2o$60bo10bo43b4o$
60b12o43b4o$59b2o10b2o$58bob2o3b2o3b2obo$56b4o12b4o$56b2obo5b2o5bob2o
3$38bo31bo31bo47bo31bo31bo$38b3o29b3o29b3o43b3o29b3o29b3o$39b2o30b2o
30b2o43b2o30b2o30b2o$38b3o29b3o29b3o43b2o30b2o30b2o$11b2obo23bo31bo31b
o45b3o29b3o29b3o$11b4o135bo31bo31bo$13bob2o$14b2o15b2o$15b2o12b4o$15bo
12bobo$14b2ob10ob2o$15b2o10b2o$14b2o12bo$15bo12b2o$15b2o10b2o$14b2o12b
2o$13bobo2bo9bo$11b4o12b2o$11b2obo13b2o$21bobobo2bo$19b11o$19b2o2bo2bo
b2o!
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Game of Life Fun
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Re: B3/S345

Post by Game of Life Fun »

Layz Boi wrote: January 31st, 2026, 10:30 pm Some things I discovered & built 30 January 2026:

P64 c/2 gun:

Code: Select all

x = 186, y = 68, rule = B3/S345
89b2ob2ob2o$89b8o$91bo2bo7$5b2o74b2o20b2o74b2o$5b2o74b2o20b2o74b2o$6b
2o72b2o22b2o72b2o$6bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bobobobo22bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$7b74o24b74o$9bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$23bo51bo34bo51b
o$23bo51bo34bo51bo$23bo138bo$23bo138bo$23bo55bo26bo55bo$23bo55bo26bo55b
o$b2o20bo138bo20b2o$b2o20bo138bo20b2o$2o21bo63bo10bo63bo21b2o$b2o20bo
63bo10bo63bo20b2o$bo21bo63bo10bo63bo21bo$3o20bo63bo10bo63bo20b3o$bo21b
o63bo10bo63bo21bo$2o21bo63bo10bo63bo21b2o$b2o20bo63bo10bo63bo20b2o$b2o
20bo63bo10bo63bo20b2o$23bo63bo10bo63bo$23bo63bo10bo63bo$b2o20bo63bo10b
o63bo20b2o$b2o20bo63bo10bo63bo20b2o$23bo63bo10bo63bo$23bo63bo10bo63bo
$b2o20bo63bo10bo63bo20b2o$b2o20bo63bo10bo63bo20b2o$2o21bo63bo10bo63bo
21b2o$bo21bo63bo10bo63bo21bo$3o20bo63bo10bo63bo20b3o$bo21bo63bo10bo63b
o21bo$b2o20bo63bo10bo63bo20b2o$2o21bo63bo10bo63bo21b2o$b2o20bo138bo20b
2o$b2o20bo138bo20b2o$23bo55bo26bo55bo$23bo55bo26bo55bo$23bo138bo$23bo
138bo$23bo51bo34bo51bo$23bo51bo34bo51bo$9bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo28bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$7b74o24b74o$6bobobobo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo22b
obobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
obobobo$6b2o72b2o22b2o72b2o$5b2o74b2o20b2o74b2o$5b2o74b2o20b2o74b2o7$
91bo2bo$89b8o$89b2ob2ob2o!
Reduced:

Code: Select all

x = 160, y = 46, rule = B3/S345
2o68b2o16b2o68b2o$2o68b2o16b2o68b2o$b2o66b2o18b2o66b2o$bobobobo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo18bobobobo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$2b68o20b
68o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
24bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$
26bo15bo15bo7bo26bo7bo15bo15bo$26bo15bo15bo7bo26bo7bo15bo15bo$26bo15bo
15bo7bo26bo7bo15bo15bo$26bo15bo15bo7bo26bo7bo15bo15bo$26bo15bo15bo42bo
15bo15bo$26bo15bo15bo42bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26b
o15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15b
o15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15b
o15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15b
o10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10b
o15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15b
o15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15b
o15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15b
o$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$
26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo
15bo15bo15bo10bo15bo15bo15bo$26bo15bo15bo15bo10bo15bo15bo15bo$26bo15bo
15bo42bo15bo15bo$26bo15bo15bo42bo15bo15bo$26bo15bo15bo7bo26bo7bo15bo
15bo$26bo15bo15bo7bo26bo7bo15bo15bo$26bo15bo15bo7bo26bo7bo15bo15bo$26b
o15bo15bo7bo26bo7bo15bo15bo$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo24bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo$2b68o20b68o$bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo18bobobobo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$b2o66b2o18b2o66b2o$2o68b2o16b
2o68b2o$2o68b2o16b2o68b2o!
P192 gun

Code: Select all

x = 316, y = 40, rule = B3/S345
2o149b2o10b2o149b2o$2o149b2o10b2o149b2o$b2o147b2o12b2o147b2o$bobobobo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bob
obob2o10b2obobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bobobobo$2b149o14b149o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$88bo202bo$88bo
61bo14bo125bo$88bo202bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo
10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo
63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$
88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127b
o$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo
127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo10bo127bo$88bo63bo
10bo127bo$88bo202bo$88bo61bo14bo125bo$88bo202bo$4bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$2b
149o14b149o$bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bobobob2o10b2obobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$b2o147b2o12b2o147b2o$2o149b
2o10b2o149b2o$2o149b2o10b2o149b2o!
P224 gun

Code: Select all

x = 304, y = 40, rule = B3/S345
2o143b2o10b2o143b2o$2o143b2o10b2o143b2o$b2o141b2o12b2o141b2o$bobobobo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobob2o
10b2obobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bobobobo$2b143o14b143o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$18bo202bo$18bo125bo14bo61bo$18bo202bo$
18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63b
o$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo
63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo
10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo
127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$
18bo127bo10bo63bo$18bo127bo10bo63bo$18bo127bo10bo63bo$18bo202bo$18bo
125bo14bo61bo$18bo202bo$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$2b143o14b143o$bobobobo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobob2o10b2obobobo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$b2o
141b2o12b2o141b2o$2o143b2o10b2o143b2o$2o143b2o10b2o143b2o!

Code: Select all

x = 63, y = 51, rule = B026/S1
30bo$10bo$9bo2$7bo36bo$6bo7bo20bo$13bo2$bo11bo$o16bo21bo13bo$46bo$o44b
o4$55bo$18bo$19bo37bo$7bo4bo$6bo28bo2$6bo28bo$36bo25bo$17bo4$48bo8bo3$
6bobo$5bo11bo$53bo7$40bo$41bo2$35bo2$22bo$30bo7bo5bo5$35bo!
WhiteHawk
Posts: 1383
Joined: July 10th, 2024, 5:34 pm

Re: B3/S345

Post by WhiteHawk »

Game of Life Fun wrote: February 1st, 2026, 8:44 pm
Reduced:
Remember that guns are measured by max bounding box parameters before population

Also, is there an outright proof of omniperiodicity of this rule? All I can find above is speculative.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
User avatar
Game of Life Fun
Posts: 256
Joined: December 13th, 2021, 1:19 pm
Contact:

Re: B3/S345

Post by Game of Life Fun »

WhiteHawk wrote: February 1st, 2026, 9:02 pm Remember that guns are measured by max bounding box parameters before population
I remember, but my version is smaller. Better version:

Code: Select all

x = 170, y = 96, rule = B3/S345
7$2b2o68b2o16b2o68b2o$2b2o68b2o16b2o68b2o$3b2o66b2o18b2o66b2o$3bobobob
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo18bobo
bobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$4b
68o20b68o$6bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo24bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo$20bo39bo42bo39bo$20bo39bo42bo39bo$2o18bo39bo42bo39bo18b2o$2o18bo
39bo42bo39bo18b2o$20bo122bo$20bo122bo$2o18bo47bo26bo47bo18b2o$2o18bo
47bo26bo47bo18b2o$20bo47bo26bo47bo$20bo47bo26bo47bo$2o18bo47bo26bo47bo
18b2o$2o18bo47bo26bo47bo18b2o$20bo122bo$20bo122bo$2o18bo122bo18b2o$2o
18bo122bo18b2o$20bo122bo$20bo122bo$2o18bo122bo18b2o$2o18bo122bo18b2o$
20bo122bo$20bo122bo$2o18bo47bo26bo47bo18b2o$2o18bo47bo26bo47bo18b2o$
20bo47bo26bo47bo$20bo47bo26bo47bo$2o18bo47bo26bo47bo18b2o$2o18bo47bo
26bo47bo18b2o$20bo122bo$20bo122bo$2o18bo39bo42bo39bo18b2o$2o18bo39bo
42bo39bo18b2o$20bo39bo42bo39bo$20bo39bo42bo39bo$6bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo24bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$4b68o20b68o$3bobobobo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo18bobobobo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$3b2o66b2o
18b2o66b2o$2b2o68b2o16b2o68b2o$2b2o68b2o16b2o68b2o!
Thinner but longer:

Code: Select all

x = 172, y = 40, rule = B3/S345
3b2o74b2o10b2o74b2o$3b2o74b2o3b4o3b2o74b2o$4b2o72b2o4b4o4b2o72b2o$4bob
obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobo
bobo3b2o2b2o3bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bobobobo$5b74o14b74o$7bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$16bo39bo58bo39bo$16bo39bo58bo
39bo$16bo39bo58bo39bo$2o14bo39bo58bo39bo14b2o$2o54bo58bo54b2o$56bo58bo
$8bo47bo58bo47bo$2o6bo47bo58bo47bo6b2o$2o54bo58bo54b2o$56bo58bo$12bo
43bo58bo43bo$2o10bo43bo58bo43bo10b2o$2o10bo43bo58bo43bo10b2o$12bo43bo
58bo43bo$12bo43bo58bo43bo$2o10bo43bo58bo43bo10b2o$2o10bo43bo58bo43bo
10b2o$12bo43bo58bo43bo$56bo58bo$2o54bo58bo54b2o$2o6bo47bo58bo47bo6b2o$
8bo47bo58bo47bo$56bo58bo$2o54bo58bo54b2o$2o14bo39bo58bo39bo14b2o$16bo
39bo58bo39bo$16bo39bo58bo39bo$16bo39bo58bo39bo$7bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$5b74o14b74o$4bobo
bobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobob
obo3b2o2b2o3bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bobobobo$4b2o72b2o4b4o4b2o72b2o$3b2o74b2o3b4o3b2o74b2o$3b2o
74b2o10b2o74b2o!
P32 gun od another spaceship:

Code: Select all

x = 92, y = 34, rule = B3/S345
2b2o35b2o10b2o35b2o$2b2o35b2o10b2o35b2o$3b2o33b2o12b2o33b2o$3bobobobo
2bo2bo2bo2bo2bo2bo2bo2b2o2bobo12bobo2b2o2bo2bo2bo2bo2bo2bo2bo2bobobobo
$3b36o14b36o$6bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo$5bo13bobo48bobo13bo$19bobo48bobo$2obobo13bobo48bobo13bobob
2o$2obobo13bobo48bobo13bobob2o$3bobo13bobo48bobo13bobo$3bobo13bobo23bo
24bobo13bobo$2obobo13bobo22b3o23bobo13bobob2o$2obobo13bobo22bobo23bobo
13bobob2o$3bobo13bobo22bobo23bobo13bobo$3bobo13bobo48bobo13bobo$2obobo
13bobo48bobo13bobob2o$2obobo13bobo48bobo13bobob2o$3bobo13bobo48bobo13b
obo$3bobo13bobo48bobo13bobo$2obobo13bobo48bobo13bobob2o$2obobo13bobo
48bobo13bobob2o$3bobo13bobo48bobo$3bobo13bobo48bobo13bo$2obobo13bobo
33bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$2obobo13bobo31b36o$19bobo30bobo2b2o
2bo2bo2bo2bo2bo2bo2bo2bobobobo$5bo13bobo30b2o33b2o$6bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo14b2o35b2o$3b36o12b2o35b2o$3bobobobo2bo2bo2bo2bo2bo2bo
2bo2b2o2bobo$3b2o33b2o$2b2o35b2o$2b2o35b2o!
Edit: p64 gun of amaller c/2

Code: Select all

x = 138, y = 38, rule = B3/S345
5b2o74b2o$5b2o74b2o$6b2o72b2o$6bobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo$7b74o16b2o35b2o$9bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo18b2o35b2o$
9bobo29bobo54b2o33b2o$9bobo29bobo54bobo2b2o2bo2bo2bo2bo2bo2bo2bo2bobob
obo$9bobo29bobo55b35o$9bobo29bobo57bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$9b
obo29bobo64bobo13bobo$2o7bobo29bobo48bo15bobo13bobo$2o7bobo29bobo47b3o
14bobo13bobo9b2o$9bobo29bobo47bobo14bobo13bobo9b2o$2o7bobo29bobo47bobo
14bobo13bobo$2o7bobo29bobo64bobo13bobo$9bobo29bobo64bobo25b2o$9bobo29b
obo64bobo25b2o$2o7bobo29bobo64bobo$2o7bobo29bobo64bobo$9bobo29bobo64bo
bo17bobo5b2o$9bobo29bobo64bobo17bobo5b2o$2o7bobo29bobo64bobo$2o7bobo
29bobo64bobo$9bobo29bobo64bobo25b2o$2o7bobo29bobo64bobo25b2o$2o7bobo
29bobo64bobo13bobo$9bobo29bobo64bobo13bobo$9bobo29bobo64bobo13bobo9b2o
$9bobo29bobo64bobo13bobo9b2o$9bobo29bobo64bobo13bobo$9bobo29bobo64bobo
13bobo$9bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo22bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$7b74o18b35o$6bobobobo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobo16bobo
2b2o2bo2bo2bo2bo2bo2bo2bo2bobobobo$6b2o72b2o16b2o33b2o$5b2o74b2o14b2o
35b2o$5b2o74b2o14b2o35b2o!

Code: Select all

x = 63, y = 51, rule = B026/S1
30bo$10bo$9bo2$7bo36bo$6bo7bo20bo$13bo2$bo11bo$o16bo21bo13bo$46bo$o44b
o4$55bo$18bo$19bo37bo$7bo4bo$6bo28bo2$6bo28bo$36bo25bo$17bo4$48bo8bo3$
6bobo$5bo11bo$53bo7$40bo$41bo2$35bo2$22bo$30bo7bo5bo5$35bo!
Naszvadi
Posts: 1465
Joined: May 7th, 2016, 8:53 am
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Re: B3/S345

Post by Naszvadi »

New gun based on a new fast recovery time c/2-> c/4 converter:

Code: Select all

x = 209, y = 157, rule = B3/S345
123b2o28b2o$123b4o24b4o$125bob2ob18ob2obo$126b2o22b2o$127b2o20b2o$126b
2o22b2o$40b11o76bob20obo$30b2o27b2o65b3o20b3o$30b5o5b11o5b5o66bo22bo$
32bobo21bobo68bo22bo$33b2o5b11o5b2o68b26o$34b2o19b2o70bo22bo$33b2o5b
11o5b2o69bo22bo$34bo21bo69b3o20b3o$33b3o19b3o69bob20obo$34bo21bo70bo
22bo$34bo21bo69b3o20b3o$33b3o19b3o69bo22bo$34bo21bo70bob20obo$34bo21bo
69b3o20b3o$33b3o19b3o69bo22bo$34bo21bo70bo22bo$34bob19obo69b26o$33b3o
19b3o69bo22bo$34bob19obo70bo22bo$34bo21bo69b3o20b3o$33b25o69bob20obo$
34bo21bo70bo22bo$34bob19obo69b3o20b3o$33b3o19b3o69bo22bo$34bo21bo70bob
20obo$34bo21bo69b3o20b3o$33b3o19b3o69bo22bo$34bo21bo70bo22bo$34bo21bo
69b3o20b3o$33b3o19b3o69bo22bo$34bo21bo70bo22bo$34bo21bo69b3o20b3o$33b
3o19b3o69bo22bo$33b2o21b2o68b2o22b2o18b2o35b2o$34bo21bo70b2o20b2o19b2o
35b2o$34b2o19b2o69b2o22b2o19b2o33b2o$33b2o21b2o67bobo22bobo18bobo2b2o
2bo2bo2bo2bo2bo2bo2bo2bobobobo$32bobo21bobo64b4o24b4o17b35o$30b4o23b4o
62b2o28b2o19bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$30b2o27b2o118bobobobo9bob
obobo$179bobobobo9bobobobo$45b2o132bobobobo9bobobobo$45b2o132bobobobo
9bobobobo$45b2o132bobobobo$10bo70bo31bo65bobobobo$8b3o29b2o8b2o29b3o
29b3o28bo15bo18bobobobo$8b2o30b3o6b3o30b2o30b2o27b2o14b2o18bobobobo$8b
3o29b2o8b2o29b3o29b3o26bobo13bobo18bobobobo$10bo70bo31bo28b3o13b3o18bo
bobobo$45b2o132bobobobo$45b2o132bobobobo$45b2o132bobobobo$179bobobobo$
52b2o27b2o43b2o27b2o22bobobobo$52b4o23b4o43b4o23b4o22bobobobo9bobobobo
$54bobo21bobo47bobo21bobo24bobobobo9bobobobo$55b2ob19ob2o49b2o21b2o25b
obobobo9bobobobo$56b2o19b2o51b2o19b2o26bobobobo9bobobobo$56bob19obo50b
2o21b2o20bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$55b2o21b2o50bo21bo19b35o$55b
3o19b3o49b3o19b3o17bobo2b2o2bo2bo2bo2bo2bo2bo2bo2bobobobo$56bo21bo51bo
21bo18b2o33b2o$56bo21bo51bo21bo17b2o35b2o$55b3o19b3o49b3o19b3o16b2o35b
2o$56bo21bo51bo21bo$56bo21bo51bo21bo$55b3o19b3o49b3o19b3o$56bo21bo51bo
21bo$56bo21bo51bo21bo$55b3o19b3o49b3o19b3o7bo2bo$56bo21bo51bob19obo8bo
2bo$56bo21bo51bo21bo8b4o$45b2o8b25o49b25o8b2o$44b4o8bo21bo51bo21bo$44b
o2bo8bob19obo51bo21bo$44bo2bo7b3o19b3o49b3o19b3o$56bo21bo51bo21bo$56bo
21bo51bo21bo$55b3o19b3o49b3o19b3o$56bo21bo51bo21bo$56bo21bo51bo21bo$2o
35b2o16b3o19b3o49b3o19b3o$2o35b2o17bo21bo51bo21bo$b2o33b2o18bo21bo51bo
21bo$bobobobo2bo2bo2bo2bo2bo2bo2bo2b2o2bobo17b3o19b3o49b3o19b3o$2b35o
19bo21bo50b2o21b2o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo20b2o21b2o50bob19o
bo$7bobobobo9bobobobo26b2o19b2o51b2o19b2o$7bobobobo9bobobobo25b2o21b2o
49b2ob19ob2o$7bobobobo9bobobobo24bobo21bobo47bobo21bobo$7bobobobo9bobo
bobo22b4o23b4o43b4o23b4o$23bobobobo22b2o27b2o43b2o27b2o$23bobobobo$23b
obobobo132b2o$23bobobobo132b2o$23bobobobo132b2o$23bobobobo18b3o13b3o
28bo31bo70bo$23bobobobo18bobo13bobo26b3o29b3o29b2o8b2o29b3o$23bobobobo
18b2o14b2o27b2o30b2o30b3o6b3o30b2o$23bobobobo18bo15bo28b3o29b3o29b2o8b
2o29b3o$23bobobobo65bo31bo70bo$23bobobobo132b2o$7bobobobo9bobobobo132b
2o$7bobobobo9bobobobo132b2o$7bobobobo9bobobobo$7bobobobo9bobobobo118b
2o27b2o$4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo19b2o28b2o62b4o23b4o$2b35o17b
4o24b4o64bobo21bobo$bobobobo2bo2bo2bo2bo2bo2bo2bo2b2o2bobo18bobo22bobo
67b2o21b2o$b2o33b2o19b2o22b2o69b2o19b2o$2o35b2o19b2o20b2o70bo21bo$2o
35b2o18b2o22b2o68b2o21b2o$58bo22bo69b3o19b3o$57b3o20b3o69bo21bo$58bo
22bo70bo21bo$58bo22bo69b3o19b3o$57b3o20b3o69bo21bo$58bo22bo70bo21bo$
58bo22bo69b3o19b3o$57b3o20b3o69bo21bo$58bob20obo70bo21bo$58bo22bo69b3o
19b3o$57b3o20b3o69bob19obo$58bo22bo70bo21bo$58bob20obo69b25o$57b3o20b
3o69bo21bo$58bo22bo70bob19obo$58bo22bo69b3o19b3o$57b26o69bob19obo$58bo
22bo70bo21bo$58bo22bo69b3o19b3o$57b3o20b3o69bo21bo$58bob20obo70bo21bo$
58bo22bo69b3o19b3o$57b3o20b3o69bo21bo$58bo22bo70bo21bo$58bob20obo69b3o
19b3o$57b3o20b3o69bo21bo$58bo22bo69b2o5b11o5b2o$58bo22bo70b2o19b2o$57b
26o68b2o5b11o5b2o$58bo22bo68bobo21bobo$58bo22bo66b5o5b11o5b5o$57b3o20b
3o65b2o27b2o$58bob20obo76b11o$57b2o22b2o$58b2o20b2o$57b2o22b2o$56bob2o
b18ob2obo$54b4o24b4o$54b2o28b2o!
Layz Boi: please PM me! Thanks!
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