Travelling Ts(b3s23-a5) and its variants

[ThePlayzr]

Hello and welcome to the Travelling Ts (TT) and its variants thread! this thread is for the rule b3s23-a5 and interesting variants.

Code: Select all

x = 3, y = 3, rule = b3s23-a5
bo$bo$obo!

Status:
Gun periods known up to 500: 14
Oscillator periods known up to 100: 69
Spaceship speeds known: 14
Goals:
- Find a gun for any small spaceship. (completed)
- Find a spaceship slower than c/7.
- Find 15 unique spaceship speeds.
- Find a quadratic growth pattern. (almost certainly possible)
- Prove omniperiodic.
- Get an entry into OCADOTY 2025. (completed)
- Prove the rule Turing complete. (completed)
- Find a puffer of a speed other than c/2 or 3c/8.
- Find an orthogonal or a slower than c/4d wickstretcher.
- Find cool patterns
Rules on talking about variants:
You can talk about any rule in the rulespace of the T (B3aeijn/S2ai3eiy5i - B2-ac34-t5678/S023-a4-a56-c78), that is not explosive, and is one of these 2 things:
- it has a non-trivial period oscillator the normal rule does not have, or a spaceship speed (can be unsimplified) that the normal rule does not have, or a natural spaceship speed (again, can be unsimplified) that the normal rule does not have.
- is 1 transition from the original rule.
Spaceship speeds:
Here are the spaceship speeds known and the minimum population of the smallest known. Ones in green have been proven minimal via LLSSS.
c/2 - 7
2c/5 - 159
3c/8 - 36
c/3 - 54
2c/7 - 115
c/4 - 4
c/5 - 47
c/6 - 49
c/7 - 49
c/3d - 169
c/4d - 5
c/5d - 81
c/6d - 201
(2,1) c/5 - 386
Object collection:
This is only the spaceships and oscillators. A more complete collection is available through the last link.

Code: Select all

x = 1833, y = 355, rule = B3/S23-a5
477b16o$477b16o$437b8o32b16o$422b4o11b8o10b8o14b16o$44bo3bo177b2o14b2o
178b4o11b8o10b8o14b16o$21bo8bo3bo8bobobobo24b2o67b2o23bo11b2o14b2o27b
obo4b2o6bo2bo8bo10b2o4b2o166b8o32b16o$13b4o4b2o5b2o2b2o2b3o3bobo3bobo
23bo67bobo11b2o10bo11b2o9b2o2bo2bo33bobo5bobo8bob2o7bob6obo205b16o$3o
3b4o3b4o4b2o4b3o2b2o2b2o4bobo3bobo21bobo7b2o7b2o2bo5b2o2b3o2b2o4b2ob2o
b2o18b2o12bo2bo6bo3bo7b2o2b2o6bobobobobo7b2o15bob2o24bo10b2o6b2o205b16o
$22bo8bo3bo7bobobobo22b2o6bobo2b3o3bo4bo4bo9bo3bo8bo20b2o7b4obo6bobob
o7b2o2b2o6b2o5bo8b2o25b2obobobo7b2obobo2bo6bo2b2o2bo$44bo3bo20b2o21b4o
bo4b4ob4o4b2o2b2o2b2o20bo9b2o9b2ob2o7b2o2b2o12bo9b6o9bobo25bobo2bobo6b
obo2bobo$68bobo8b3o2bobo8bobo7bobo10bo2bo26bo5bo2bo2bo5bobobo7b2o2b2o
7bo14b6o24bo3bo7bo2bo5bo5bobo2bobo$68bo14b2o7b2o2bo7bo3bo10b2o26bobo4b
2o2bobo5bo3bo7b2o2b2o6bo28bobo26b2o2b5o6bo2b2o2bo$2bo6b2o6bo7b3o7b2o7b
2o21b2o23bob2o8b2ob2o39bobo8bo8bo9b2o2b2o5bobobo42bobobob2o18b2o6b2o$
bo6bo9b2o4bob2o6bobo6bo2bo102bo18bo11b2o7bo2bo24bobo31bob2o7bob6obo$o
bobo3bobobo3b2o5bobo2bo13bobobo133b2o8b2o24bo2bo14bobo5bobo6b2obo8b2o
4b2o$o2bo5bobo6bo8bo4bobo6bobo172b2o15bo2bo6b2o$b2o7bo14b2o5b2o7bo3bo
43bo143b2o$42b2o43b3o32bo$86bo8bo10bo6bo7bobo23bo$70b3o13b2o6bo2bob2o
4bo2bo2bo2bo5bobobo22bo4b2o9bo12bo11bo$8b2ob2o7bo8b2o62bo6bo3bo10bo5b
3o25bobo2bo8bob2o7bobo9bobo47bo2bo$o2bo4bo3bo7bobo6bobo37bo4bo9b2o8b2o
b2o6b2ob4ob2o5b2ob2o20bob4obobo7bo9b2o4bo5b2o4bo65bo$4o5b3o6bo12bo36b
obo3bo8bo2bo11b2o9b2o8bo5bo17b3obo2bobob2o5b2ob2obo4b6o6b7o29bo2bo11b
o4bo2bo12bo18bo152b4o$23b2o6b2o10bo24bo2bo2bo8bo2bo32b2o3b2o16bo4bobo
3bo2bo4bo4bo5bo4bo6bo4b2o29b2ob2o8b3ob2ob4o6b2o9b2o11bobo151b4o$17b2o
14b2o8bobo21b2o3bo7b2o2b2o12bo43b2o3bob4o2b2o5b3o9bo11bobo29b2o3b2o7b
o3bo2bo11bo2bobobo2bo12bobo151b4o$4o5b3o11bo5bo5b2o5bobo24b3o7bobo16b
2o48bo15b2o8bobo9bo30b7ob2o5bob2ob2ob2o8bo3b5o3bo8b2obo2b2o149b4o$o2b
o4bo3bo6bobo7bobo5b2o5bo24bo9bo70bo69bo2bobo7bo2bo3bobob2o4b4o5b4o12b
obo150b4o$8b2ob2o8bo6bobo8b2o37b2o69b2o67bobo2bo10bobobo3b2obo7bo5bo10b
obob2o2bo149b4o$30bo10b2o174b2ob7o8b2ob3o9b4o2bo2b4o5b3obo3b2o144b6o4b
6o$42bo176b2o3b2o11bo4b3o4bo2bo2bobo2bo2bo3bo4bob2o146b6o4b6o67b32o$42b
obo117bo3bo52b2ob2o13bobobo2bo4b2o5bo5b2o3b2o3b2obo144b2o6b4o6b2o65b32o
$43b2o117bo3bo53bo2bo14b2ob2o177b2o6b4o6b2o65b32o$74bo10bo6b2o3b2o7b4o
52bo3bo74bo176b2o2b6o4b6o2b2o63b32o$73bobo8bobo5bo2bo2bo7bo2bo32b2o40b
o56bobo174b2o2b6o4b6o2b2o63b32o$73b2obo7b2obo5b5o6b3o2b3o30bo3bo3bo11b
5o17bo57b2o174b2o2b6o4b6o2b2o63b32o$72bob2o7bob2o17bo6bo32b6o7b3obob3o
bob3o13bo232b2o2b6o4b6o2b2o16b16o31b32o$70bo2bo7bo2bo19bo6bo31bo3bo3b
o9b2obob2o15bo230b4o2b2o6b4o6b2o2b4o12b16o11b12o8b32o$69bobo10bo10b5o
6b3o2b3o38b2o9b3ob3o14bo2bo228b4o2b2o6b4o6b2o2b4o12b16o11b12o8b32o$69b
o2bo7bo2bo8bo2bo2bo7bo2bo51b2obob2o14bob2o37b2o193b2o2b6o4b6o2b2o16b16o
31b32o$70b2o8b2o10b2o3b2o7b4o47b3obob3obob3o8b3obo37bobo193b2o2b6o4b6o
2b2o63b32o$162b5o13bobobo37bo195b2o2b6o4b6o2b2o63b32o$183bo36bob2o2b2o
190b2o2b6o4b6o2b2o63b32o$162bo3bo52bobo2bo2bo192b2o6b4o6b2o65b32o$162b
o3bo51bobo3b3o193b2o6b4o6b2o65b32o$162bo3bo52bo3bo198b6o4b6o67b32o$222b
obo197b6o4b6o$68b2o2b6o2b2o139bobo204b4o$68bobo8bobo140bo205b4o$69b2o
bo4bob2o7b2o10b2o326b4o$88bo2bo6bo2bo326b4o$68bobo8bobo7b12o327b4o$68b
o12bo8b3o4b3o328b4o$68bo12bo8b3o4b3o$68bo12bo7b12o$68bo12bo6bo2bo6bo2b
o$68bobo8bobo6b2o10b2o2$69b2obo4bob2o$68bobo8bobo616b3o4b4o6b4o12b4o6b
4o3b3o4b3o5b3o15b2o13bo5b3o7b3o23bo3bo40bo5bo9b3ob3o8b3ob3o30bo5bo5b2o
9b2o38b3o7b3o42b4o3b4o51b3o58b2o7b2o36b3o5b3o154bobo96bo65bo54b2obob3o
bo55b3o18b3o21b3o15b3o9b3o58b3o$68b2o2b6o2b2o615b2ob2o2b2obo6b2obo12b
2obo6b2obo3b2ob2o4bo7bo15b2ob2o9b2ob2o2b2ob2o5b2ob2o21b3ob3o38b3o3b3o
9bo3bo10bo3bo29b2ob2ob2ob2o2b2ob2o5b2ob2o36b2ob2o5b2ob2o42bob2ob2obo51b
2ob2o56b2ob2o3b2ob2o36bo7bo156bob2o92b4o62b4o52bob2obobob3o56bo20bo23b
o17bo11bo60bo$697b2ob2o2b2o8b2o14b2o8b2o5b2ob2o6b2ob2o17b2obo4b3o4bob
o3b2obob2ob2obob2o20b2o2bo2b2o36b2o2bobo2b2o5b2o7b2o4b2o7b2o27bobo3bo
bo3b2obo7bob2o36b2obob2ob2obob2o44b2ob2o53b2obob2o4b3o47b2obo5bob2o38b
2ob2o156b2o2bo90b3obo2b2obo56b2obo2b2o49bob2o2bo3bo2b2o53bo20bo19bo3b
o13bo3bo10bo4b2o55bo$706bo9bo15bo9bo12bo3bobo3bo22bo2bo15bobo24b2obo2b
o2bob2o34bo3bobo3bo5bo3bobo3bo4bo3bobo3bo96bobo48bobo3bobo57bo3b2ob2o
94bo3bobo3bo149bo2bobo2bobo91bo3bob3o53bobo3bo2bo48bobo2bo5b3o2bo66b3o
b2o19b2ob2o13b2ob2o15bo2bo52b2o$748b4o4b2obobob2o18bo4bob2o3bo9bobobo
bo23bo2bo3bo2bo33b3ob2o3b2ob3o5b2o3b2o8b2o3b2o28bo3bobo3bo4b2o7b2o42b
obobobo49bobo58bobob2obob2o49bo5bo38b3obobob3o147b2ob5o2bob2o87bo2bo5b
o2b2o50bobo4bo3bo47b3o7b3o4bo66b4o55b2obo2bo52bo$712b3o13b3o6b4o6bo3b
2o2bobobobobobo14b2o5b2obo2b2obobo8bobo28bo3bo40b3ob3o6b2obobobobob2o
2b2obobobobob2o26b3o3b3o5b3o5b3o44bobo50bo3bo59bobo99bob2o5b2obo147b2o
4bo3b2o88bo4bobob3o2bo50b2o3b2o48b2o3bob2o3bo3b3o2bo62bobo2b2o19bo2bo
14bo2bo15bo2bo52b2ob2o5b2o$711b2obo12b2obo7bobo10b2o3bobo3bobo10b2obo
bo26bobo24bo11bo38bobo11bobobobo8bobobobo29b2obobob2o7b2o3b2o48bo52bo
61bobobo54b2ob2o38bo2bo5bo2bo147bob2o7bo86b2obo3b2ob3o4bo50b3ob2o3bob
o45b3o6bo3bo2bo2bo62b2obobo56b2o3bo59bobo$711b2o14b2o26b2ob2ob2ob2o8b
2obo17bobo8b2ob2o23b4o5b4o36bo5bo9bobobobo8bobobobo33bo12b2ob2o48b3o50b
3o59b2obo54bo2bobo2bo35bo2b2o5b2o2bo148b2o3b2o91bo2bobo5b3o2bo50bob2o
b3obobo41b3o3bo13bo2bo63bobo20b2o16b2o18bo2b5o46bobo4bo4bo$713bo15bo44b
2obobo15bo38b2obo5bob2o36bo5bo9bobobobo7b2obobob2o30bobobo8bo2bobo2bo
47b2o50b3o62bo52b2obobobobob2o33bobobob3obobobo146bob3o5b2o84bo2bo4bo
4b3o2bo2bo46b2o2b3o4bo3bo41bob2o9bo2bo3bo2bo61b2o2bo19bo17bo26bo45b2o
6bobo$755b3ob3ob3o11bo59b2o3b2o54b2obobob2o9bobo44b2obobobobob2o97b3o
61b3o52bobo5bobo36bo3bobo3bo151b4o3bo85b2o5bob3obobo3bo2bo46b3o3bo6bo
45bo5b3o2b2obo2bo2bo61b2obo19bo17bo21bo2bobo48bo6b2o$180bobo542b3o110b
2ob2o58bobo12bobo34bobo8bobobobobobo93b3o7b3o56bo56bo5bo37b2o3bobo3b2o
146bo4bo5bo105bo2bo42bo4b4o3b2obobobo43bo7b3obo2b2obobo81b2o16b2o72bo
b2obo2bobo$91bo30bob3obo38bo9bob2ob2obo538b2obo109bo2bo2bo56b2ob2o11b
obo34bobo10bobobobo94b2ob2obobob2ob2o112b2o3b2o37b3ob2ob2ob3o150bobo2b
2o95bobo6bo2bo2bo40b2obo9b2o2bo3b2o40b2o4bo3bob2o4b2ob2o80b2o16b2o72b
ob2o2bo3bo$14b2o10bo3bo12bo3bo23bo8bo9bobo13b2o13bob5obo25bo8bob2o9bo
2bobo2bo27b3o508b2o114bo60bobo10b3ob3o33bo11bobobobo94b2obobobobobob2o
54bo57b2o3b2o37bobobobobobobo146bob2obo5bo94bob2o6bo2bo2bo38bo4bo12bo
4bo40b2o7b4obo3b4o80b2o16b2o72b2o3b2ob2o$14b2o6b2obo5bob2o3b2o2bo5bo2b
2o17bo3bo2bo3bo7bobobo9bo2bo4b2o7bob2o3b2obo19b2o2b2o8bo10b2ob2o3b2ob
2o8bo15b2o2bo10bo498bo173b2ob2o47bobobo9bobobobo99bobobo59bo103bobo3b
obo148bo3b6obo91b4o2b2o9bo2bo40b2obo11bo5bo38b2o9bobo5bo3bo77b2o16b2o
72b3o4b2obo$4b2o8b2o6bo11bo3bo13bo16bobo2bo2bo2bobo6bobobo8bobobo3bob
o6bobo7bobo19bobo8b2ob2o2b2o6bo7bo9bobo13bo2bo11bobobo608b3o58bo3bo45b
2obobob2o9bobo101bo3bo59bo103bobo3bobo148bo2b3ob2ob2o91bobo2bo11bo2bo
53bo2b4ob2o51bo2b2o3b2o75b3o15b3o74b2o$bobob2o7b2o7b3obobob3o5b4obobo
b4o18bo3bo2bo3bo4b2obo3bob2o6bo2b2o3bo8b2o7b2o21bobo9bo2bobo5bobo7bob
o6b2obo12bob2obo10bob3o491b3o114b3o107b2ob2ob2ob2o4bo3bobo3bo97bo3bo58b
obo102bobo3bobo145b2obobobo4bo92b3o13b3obobo41b2o8bob4o2b2o35b3o14bo8b
o171bo3b3o$bo5bo6b2o11bobo14bobo24b3o4b3o5bobo4bobobo8bo12b2o9b2o21bo
bo6bobo2bo6b3o9b3o5bobob2o9bobo2bob2o7b2obo492b2obo224b2ob2ob2ob2o4bo
3bobo3bo95bo2bobo2bo159bobobobobobobo146bo2b3o94b3o16bob2ob2o37b2ob2o
8bob2o5bo36b2o12bobo6b2o173b4o$2b2obobo6b2o7b4o3b4o7b3o3b3o22bo6bo9b4o
3bo10b7o5b2o9b2o19b2o2b2o4b2o2b2ob2o24bo2bo2bo7b2obo2bo3bo6bo2bo492b2o
229b2ob2o8bobo3bobo93b2o2bobobobo2b2o157bob2obob2obo155b2o104bo3b2ob4o
41bobo7bobobo3bo62bo74b3o15b3o72b2o4b2o$3b2o9b2o7bo9bo7bo7bo21b2o6b2o
32bo5b2o9b2o19bo15bo6b3o9b3o6bo2bo2bo6bobob2obo10bo404b2ob2o87bo229bo
bo9b3o3b3o92b2obobo5bobob2o154bob4o3b4obo147b3o97bo11b2o5bo3bo44bo5b2o
b2o2b2o57bobobo72b2o19b2o72b2obo4bo$14b2o8bo7bo58b2o16b2o9b2o7b2o33b2o
bo7bobo7bobo10bo9bo2bo2bo11bo377bo4bo21bo3bo316bo3bo109b2obobo5bobob2o
155bobobo3bobobo148bo2b2obo104bob2obo3bob2o39bobo2b2o3b2o3b3o59bo2b3o
69bo2bo88bobo2bobobo$23b2o7b2o57bobo15bobo7bobo7bobo32bo12bo7bo13bo9b
o2bo12b2o377b6o22bobo317bo3bo112bo2bo3bo2bo317b2o2b2obo110bo2bo4bo33b
o4bo5b2obo2b2o2bobo56bo4bobo70bobo88b2o6b2o$92bo17bo9bob2o3b2obo44b2o
b2o3b2ob2o24bo364bo4bo21b6o19b4ob4o315b3o11b2ob2o101bobo164b3o3b3o147b
5ob2ob2o104b3obob3o3b2o32bobob2ob3obo3b2obo3bo52b3o3b4obo70bo93bobo2b
2o$121bob5obo47bo2bobo2bo27bo363b6o21bo4bo18bo9bo314b3o11b2ob2o95bo2b
2obobob2o2bo57bo257bob3o3bob2o101b2o4bo5b2o31b2o4bo2b2ob3o2bo58b3ob2o
bobobo72bo88bob2o3bo$122bob3obo48bob2ob2obo391b6o17b4o6b4o14b2o2b3o2b
2o328b2ob2o95b2obo2bobo2bob2o56bo258bo6b2o2bo100bobo3bobo2b2obo31bob2o
2bo2b2ob3o4b2o55bo4bobob2o70bob2o91b2o$180bobo394bo4bo18b2o3b2o3b2o32b
2o420b2obo2bobo2bob2o55bobobo254b3obo3bo3b2o99b3o10bo33bo3bo12bo54b2o
7bo73bo92bo2bobobobo$73b2o3b2o493b4o6b4o14b2o2bo2bo2b2o32bobo423bobob
obo59bo2bo255b2obob2o2b2o99bob2o8bo3bo33b4o5bob2o3bo55b2o6b2obo71b2o90b
o4b3obo$73bobobobo74b8o412b2o3b2o3b2o6bo8b2o2bo2bo2b2o22bo11bo421bobo
bobobobo58b2o259b2o5bo101bo8bob2obo33b2o2bobo2b2o4bo2bo54bo7bobo70b2o
89bo2b2o4bob2o$75bobo14bo24bo36b8o42bo3bo365b2o2bo2bo2b2o6b2o7b2o3b2o
3b2o20b2o12bob2o419bo2bobo2bo315b2obob2o107bo7bobo34b2obo3b2o3bo7b3o131b
obo91bobo2bo$8b12o54bobobo13bo7bo16bo36b8o38b2obob3obob2o361b2o2bo2bo
2b2o6bo7b4o6b4o21bo4b3o2bob2obo422bobo161bo13bo145bo2bo117bo35bo3bo4b
obo4b2o2b3o131bo92bo2bobobobo$8b12o49b2o3bo3bo3b2o13bo2b3o3b2o14b2o7b
2o21b8o37bobobo2bo2bobobo14b3o343b2o3b2o3b2o18bo4bo21bo9bo3bo427bobo161b
o13bo141bo7bo113bo39bo2b2obobo4bobo4b3o130bo92bo3bobo$8b12o49bo2b2o5b
2o2bo6bo3bo2b3o3bo2bo8bo3bo2bo2bob2obo2bo20b8o17bo4bo14b2o2bobobobo2b
2o359b4o6b4o17b6o21bo13bob2obo587b2o9b2o142b2obobobo114b2o41b2ob3ob2o
bob3o228bo$8b12o50b2o9b2o5b3obob3o4b2obobo6b3obob3o2b2obo3bobo20b8o17b
6o18bobobobo367bo4bo21b6o37bob2o583bob2obo9bob2obo140bo6bo156b2o2bo6b
o228b8o$4b4o12b4o48bo7bo6bo4bo4b4obobo2b2o3bo4bo4b2o5b2obo21b8o17b6o14b
4obobobob4o13bo3bo345b6o21bo4bo20b3o14bo585bo2b2obo9bob2o2bo135b4o3b4o
bo152b4o6bobobo226b2o2bo$4b4o12b4o46b2o9b2o4b2ob2ob3o8b2obo4b2ob2ob3o
4b4obo23b8o17bo4bo13bo4bo5bo4bo11bobobobo344b6o43b2o17bobo585b2o4bo9b
o4b2o133bob2o3bo5bobo148b3ob7o2bo227b5o2bo$2b2o4b12o4b2o43bo2b2o5b2o2b
o7bobo3b2obobo4bo8bobo3b2o4bobo23b8o13b4o6b4o10bob2o7b2obo9bo3bobobo3b
o341bo4bo42bobo17b2o587bobo15bobo133bobo2bobo2b2obo154bo2bob2ob2o2bo224b
3obob2o$2b2o4b12o4b2o43b2o3bo3bo3b2o7bobobo4b2obobob2o7bobobo4b4ob2o22b
8o14b2o3b2o3b2o11b2o2bo5bo2b2o9bo4bobo4bo389bo14b3o428b3ob3o157bo2bob
o7bobo2bo134b4obobob2obo153bo5bo3b2obobo221bo3b2ob3o$2b2o4b12o4b2o48b
obobo11b2obob4o6bobo7b2obob4obo2bobo23b8o14b2o2bo2bo2b2o11bob2o7b2obo
9bo3bobobo3bo386b2obo443b2o2bobo2b2o158bobo7bobo141bob3o3bobo153bo4bo
2b2o223bo5bobobo$2b2o4b12o4b2o49bobo16bo4b6o2bo11bo4bo2bo2bo23b8o14b2o
2bo2bo2b2o10bo4bo5bo4bo11bobobobo389bob2obo13bo428b3o3b3o60bo100bo7bo
139b2obobo3bobo2bo152bo2bo2bo5bo222bob2o2b4o$2b2o4b12o4b2o47bobobobo16b
o2bo2bo4b2o11b3o5b2o24b8o14b2o3b2o3b2o11b4obobobob4o13bo3bo395bo3bo9b
o429bo5bo60bo250bobobo160bob3o4bo226b4o4b2o$2b2o4b12o4b2o47b2o3b2o15b
2o25b2o30b8o13b4o6b4o14bobobobo412bob2obo2b3o4bo501bo251bo2bo5bo152b2o
b2o3b2o3b3o218b2obobob2o2bo$4b4o12b4o130b8o17bo4bo14b2o2bobobobo2b2o408b
2obo12b2o499bo251bobob2o157bo4bo8bo218b2o4b3o$4b4o12b4o130b8o17b6o14b
obobo2bo2bobobo14b3o394bo11bo502bo250b2ob3o153b7ob2obobobobo218bo7bo2b
o$8b12o159b6o15b2obob3obob2o412bobo510b2o250b2o3bobo151b2o2bo2bobo2bo
2bob3o217bobo4b3o$8b12o159bo4bo19bo3bo417b2o510bo258b2o150b2o3b2obo4b
o3bobo217bob2o6bo$8b12o52b2o20bo539b2o2b3o2b2o744b2o6b3o147bo7bo4bo3b
2obo215bo2bo2b2ob2o$8b12o52bo20bobo538bo9bo742bo2bo6bo148b2o2bo5bo3b3o
3bo215b5o5b2o$73bo19bo2bo16b2o520b4ob4o743bo2bo6b4o146bo2b2o7b3o4b2o217b
ob5o$70b4o16b2obo3bo14bobo523bobo746bo2bo3bo2bo152b2o8bobobo2bo213bob
5o$69bo4b2o3bo10bobob4o11bo2bo524bo3bo745b2obob3o3bo149bob2o10b2o3bo213b
3obobo$70b3obobobobo11bobo13bobob2o2b2o519b2ob2o746bo3b3o154b2obo3bo3b
o2bobo214bobob2ob2o$72bo3bob2o11bo5b3o9b2o6bo58bo19b2o1188b2ob2o157bo
b3o3b2o3b2o213b2ob3ob2o2bo$75b2o13bo3bobo3bo11b2o3bobo56b3o17bo1188b3o
bo160b4obob2ob2obo211bobo4bob2o$77b3o11b3o5bo9b2obob3obobo53b2o3bo18b
o1184bobo3bo156b2o2b3ob4o2b3o219b2o$77bo2bo15bobo10bo2bobobobobo52bo3b
2obo13b5o1182b6obo157b2obobo4bob2obo214bo5bo$79b2o12b4obobo9b2o3bo3bo
34b2obo2bob2o8bo2b2obobo9b2obo1187bo7bo157bob2obo5b2obo213b2o$81b2obo
8bo3bob2o11b3o39bo3b2o3bo7bob2obo3bob2o7bobo3b2o1180bo7b2o159bobo4bo3b
obo210bo3b2o3b2o$78b2obob2o9bo2bo14bo42b3o2b3o8bo2bobo3bobo7bo2b2o2bo
bob2o1177bobo2bobo159b2o4b2o4b2o212b2ob4o2bo$79bobo13bobo54b3o8b3o6bo
2bobo2bo2bo6bobo5b2obo2bo1174bobo3bo159bobo2b2o3bo4bo209bo7bo2bo$79bo
bo14bo55bo2bo6bo2bo5b2obobobob2obo7bob2o6bob2o1031bo15bo123bob2o4b2o158b
obo2bo3b3o3bo211bob2obo$80bo72b2o8b2o9bobob2o2bo10bo7bo1033bobo13bobo
122b3ob4o159b3ob2o6b2obo212bo2bobo$174bob2o3bo11bo2bobo2bo1033b2o15b2o
130b2o157b2o4bo5b2o212b4o4bo$175bo3b2o13b3ob3o1038b2o7b2o127bo2bobo161b
2o2b3o3bo212b4ob3o$176b3o18bo427b2o5bo5b2o598bo2bo5bo2bo131bo3bo157b2o
bo2b2o214bobo2b2o2bo$178bo17bo2b2o424bo2bo2bobo2bo2bo598bo2bo5bo2bo126b
2o2b3ob3o158b2o3bo214bo4b2o$197b2obo425b4o2bo2b4o599b3o7b3o127bobo3bo
2bo155bobo4bo214b4ob2o$629bo5bo742bobo2b2obo155bo2bo217bo4bo2bo$626b4o
5b4o739b3o3bobo154bo217bob3o4b3o$626bo3b5o3bo738bo2bob2o159bo216bob2o
4bo$627bo2bobobo2bo14b2o726b2o2bo157bo214b3o$626b2o9b2o7bob2obobo724b
2ob4o156bo223b3o$632bo13b2obobo726b2o4bo372b3o5b2o$632bo16bob2o726bob
3o370b5o7bo$649b2o723b3obobo3bo369b3o8bo$635bo11b2o725bob5o2b3o366bo9b
obobo$633b2o10bo2bo3bo723b3o5b2o375b2obo$635bo4b3o2bobo3bobo721bo3b2o
371bobo6b2obo$631bo9bo3bo2bo3bo720bo3bobo369bobobo6b2o$631bo15b2o724b
2obo383b2o$235b2o41b4o367b2o720bo2bo3bo369bobobo4bo2b2o$61bo3bo88bo80b
2o41b4o64bob3obo15bo250b2o9b3o16bob2o719b2o2bobo370b2o5bo$4b2o54bobob
obo51b2o33bobo48bo11bo18b2o41b4o63bob5obo13bobo249bobob2obo19b2obobo724b
o377bo2bobo$5bo2b2o19bo31b2ob2o52b2o34bo49b2o9b2o18b2o41b4o62bob2o3b2o
bo9bobobobo250bobob2o19bob2obobo718b2obo372bo7bo$2bo2bobobo17b3o28b3o
bobob3o49b2o12b2o70b2o9b2o18b2o41b4o61bobo7bobo8b3o253b2obo16b3o9b2o717b
obo373b3o3b2o$bobobo2bo12bo4bo30bo11bo48b2o12bobo70bo9bo19b2o41b4o62b
2o7b2o11bo255b2o746bo2bob2o370bo2bo2bo2bo$2b2obo14bobo3b2o8b2ob2o15bo
b3o5b3obo47b2o14b3o13bo7bo49bo3bo22b2o41b4o61b2o9b2o11b3o8b6o240b2o15b
o727bo2bo2b2o367b2o4b2o2bo$5b2o13bobo14bobobob2o10bobobo7bobobo46b2o10b
4o3bo11b2o3bo3b2o46b2obobob2o20b2o41b4o61b2o9b2o264bo3bo2bo3bo9bo726b
o5b2obo371b2o$5bo7b2o4b2ob3o11bo2bobobo11bob2o9b2obo46b2o9bo5bobo10bo
bo2b3o2bobo40bo4bo2bobo2bo20b2o106b2o9b2o21b2o4b2o234bobo3bobo2b3o4bo
738b3o364b4o$6b2o4bobo4bo4b2o3b2o4bob2o2bobobo7bobobo11bobobo44b2o9b2o
b2ob2o10b3o9b3o38bobo3b3o3b3o20b2o107b2o7b2o12b3o6bobo4bobo234bo3bo2b
o10b2o730b2o5b2o364bo2bobo$8bo4bo7b2obo3bobo4bo9b3o4bobo17bobo43b2o12b
o67bo2bo31b2o106bobo7bobo10bo7bob2o6b2obo236b2o11bo1099b3ob2o3bobo$8b
obo11bobo4bo6b3o9bo4b3o15b3o44b2o9b2ob5o98b2o107bob2o3b2obo9b3o7bo5b2o
5bo234b2o750b2o361bobobobob2o$9b7o5b3o2bo11bobobo2b2obo69b2o8bobo5bo6b
o5bo9bo5bo34bobo32b2o41bo2bo7bo2bo52bob5obo10bobobobo3bo4bo2bo4bo232b
2obo16bo1095b2o2b2o2bo$15bo5bob9o8bobobo2bo5b3o15b3o44b2o8bo3b4o6bobo
3b2o9b2o3bobo29b2ob2o34b2o40bo2bo9bo2bo52bob3obo14bobo4bo4bo2bo4bo233b
obob2o13bo1093bobo3bob3o$11b2o18bo7b2obobobo5bobo17bobo54b3o11bo5bo9b
o5bo30bo2bo2bo32b2o39bo2bo11bo2bo73bo5bo5b2o5bo231bobob2obo7b2o9b2o1086b
obo5b2o$11bobo11b4o14b2ob2o5bobobo11bobobo57bobo67b2o32b2o38bo3bo11bo
3bo78bob2o6b2obo231b2o14bo2bobobo2bo1087b2o8b2o$12bo12bo2bo26bob2o9b2o
bo60b2o101b2o40b2o2b2o5b2o2b2o82bobo4bobo248bo3b5o3bo1087bo9bo$55bobo
bo7bobobo75b3o9b3o73b2o39bo4b2o5b2o4bo59bo22b2o4b2o249b4o5b4o1085bob2o
6b3o$56bob3o5b3obo77bobo2b3o2bobo74b2o38bo3b3o2bobo2b3o3bo57bobo181b4o
96bo5bo1087bobo7b2o$57bo11bo79b2o3bo3b2o47bo27b2o42b2ob3ob3ob2o60b2ob
o22b6o153b4o93b4o2bo2b4o1085bo4bo2bo$58b3obobob3o81bo7bo49bo26b2o45bo
bobobo63bobob2o177bo2b2o2bo90bo2bo2bobo2bo2bo1084bo4b3obo$61b2ob2o141b
o27b2o44b3o3b3o62bo2bo2bo145bo4bo25b2o4b2o90b2o5bo5b2o1084bo3bo2b2o$60b
obobobo140bo27b2o116bo2bo2bo144b6o23b2obo4bob2o1188b3obo$61bo3bo88bo53b
2o25b2o44b3o3b3o66bo147b6o24b2o6b2o1192bo$10b2o141bobo51bo2bo24b2o45b
obobobo68bo146bo4bo21b2o5b2o5b2o$10bo13b2o16bo111bo52bo27b2o42b2ob3ob
3ob2o208b4o6b4o17b3o3bo2bo3b3o$12bo10bobo14b3o2bo2bo160bo25b2o38bo3b3o
2bobo2b3o3bo205b2o3b2o3b2o6bo11b3o3bo2bo3b3o$3b2o6b2o10bobob2ob2o7bo5b
4o157b2o27b2o39bo4b2o5b2o4bo206b2o2bo2bo2b2o6b2o10b2o5b2o5b2o$3bo18b2o
b2obobo8bo2b3o6bo5bo2bo2bo141bobo3b2o64b2o2b2o5b2o2b2o207b2o2bo2bo2b2o
6bo14b2o6b2o$5bo3b6o8bo4bo2bo6b2obobo2b6o5b4o2b3o65b2o71bobo5bo62bo3b
o11bo3bo205b2o3b2o3b2o20b2obo4bob2o$4b2o3bo5bo7bo4bo3bo8b2o4bo13b2o3b
o48bo16bo70bobo70bo2bo11bo2bo205b4o6b4o21b2o4b2o$8bo3b4o5b2ob3o2b3o9b
o6b2o9bo3b3obo46bo2bob2o9bo64bob2ob2ob2o6b2o64bo2bo9bo2bo210bo4bo25bo
2b2o2bo$4b4o3bo10bobob3o10b2o7bobo7bob4o2bo46bo6bo7bobo65bo2bo12b2ob2o
61bo2bo7bo2bo211b6o27b4o89b2o15bo2bo2bo$4bo5bo3b2o6bobo4bo10bobo6b2o7b
obo3b2o48b2ob2o80bo2bo7bo6bo286b6o27b4o77b2o4bo2bo2bo13bo2b7o$5b6o3bo
8b2ob2obo10bob2o13b2o2b3o54b2o6bobo71bo9b2obo2bo287bo4bo109bo2b6o4bo11b
3o$16bo8bo2bo10b2obob2o12bobo2bo151bo403bobo6b4obob2o11b4o$7b2o6b2o8b
obo14bobobo11bob3o55bo2bo2bobo491b2obob2o2bo3bobobo10b3obobo$7bo18bo15b
o2b2o12bo58b2o341b4o154bo4bob4o3bobo9bo4bobo$9bo31b2o17bo62b2o336b4o154b
ob2obobo4bobob2ob2o4bob3obob2o$8b2o49b2o60bo337bo2b2o2bo151b2o2bobob4o
4bo4bo4bobo5bo$121b2o307bo4bo23b2o4b2o153bobob2o4b3o3b3o4b2o2b4obo$430b
6o21b2obo4bob2o151bo2bo3b3o2bobobo8bobobo2b2o$201b2o227b6o22b2o6b2o37b
o2bo7bo2bo99b2o3b3o2bo3b3o9bobo2b2o$31b2o8b2o158bobo226bo4bo19b2o5b2o
5b2o33bo2bo9bo2bo105bo17b2obobobo$13bo16bo2bo6bo2bo20b2o137b2o221b4o6b
4o15b3o3bo2bo3b3o32bo2bo11bo2bo124bob2obob2o$12b2o16bob2o6bob2o20b2o361b
2o3b2o3b2o6bo9b3o3bo2bo3b3o31bo3bo11bo3bo123bobob2o2bo$13bo17b3o7b3o18b
2o2b2o359b2o2bo2bo2b2o6b2o8b2o5b2o5b2o33b2o2b2o5b2o2b2o103b2o11bo7b2o
bo3bo$10bo51b2o2b2o53b2o224bo79b2o2bo2bo2b2o6bo12b2o6b2o35bo4b2o5b2o4b
o102bobo8b2o6bo5b3o$9b3o50b2o2b2o49bobo2bo80b2o141bo2bob2o74b2o3b2o3b
2o18b2obo4bob2o33bo3b3o2bobo2b3o3bo103bo10bo5bob3o$16b3o43b2o2b2o48b2o
b3o82bobo138bo6bo73b4o6b4o19b2o4b2o39b2ob3ob3ob2o102bo2bob2o15bo4b4o$
17bo6b2o32b4o2b2o2b4o43b2o88b2o139b2ob2o79bo4bo23bo2b2o2bo42bobobobo105b
4o4bo3bo11b2obo2bo$14bo8bo2bo6b3o7b3o12b4o2b2o2b4o46b2o230b2o78b6o25b
4o43b3o3b3o108b3obo2b3o3b3o5bo$14b2o7bob2o7bo9bo13b4o2b2o2b4o43b2obob
o309b6o25b4o156b3o5bo16bobo$14bo9b3o4bo26b4o2b2o2b4o44bo2bo230bo6b2o71b
o4bo72b3o3b3o103bo3bob2o11bo7b2o$31b2o9bo15b4o2b2o2b4o42bobo233b2o4bo
bo150bobobobo102bo2b2obobo12bo$31bo9bo16b4o2b2o2b4o42b2o239b2o2bo146b
2ob3ob3ob2o99b2obob2obo$40bobobo7b6o4b2o2b2o4b6o207b2o69b4o142bo3b3o2b
obo2b3o3bo9bo88bobobob2o17bo$40bo2bo8b6o4b2o2b2o4b6o207bobo215bo4b2o5b
2o4bo9bo89b2o2bobo9b3o3bo2b3o3b2o$14bo26b2o7b2o6b4o2b2o2b4o6b2o207bo2b
o213b2o2b2o5b2o2b2o7bo2bo2bo84b2o2bobobo8bobobo2b3o3bo2bo$13b2o35b2o6b
4o2b2o2b4o6b2o206b2obobo210bo3bo11bo3bo4bo2bo2bo86bob4o2b2o4b3o3b3o4b
2obobo$14bo6bo28b2o6b4o2b2o2b4o6b2o123bo2bo7bo2bo71b2o212bo2bo11bo2bo
5bobob2o87bo5bobo4bo4bo4b4obobo2b2o$11bo9b2o11b2o14b2o6b4o2b2o2b4o6b2o
122bo2bo9bo2bo60bo6b2o151bo64bo2bo9bo2bo6b2obo88b2obob3obo4b2ob2obobo
4bobob2obo$10b3o8bo11bobo16b6o4b2o2b2o4b6o123bo2bo11bo2bo58bobo6b2ob3o
145bobo64bo2bo7bo2bo8bobo89bobo4bo9bobo3b4obo4bo$24bo7bo3b2o14b6o4b2o
2b2o4b6o56b2o7b2o55bo3bo11bo3bo57bo2bo6bobo2bo57b2o85bo2bo87bo90bobob
3o10bobobo3bo2b2obob2o$23b3o5bo4b2o20b4o2b2o2b4o43b2o18bo7bo58b2o2b2o
5b2o2b2o73b2o57b2o268b4o11b2obob4o6bobo$32bob2o22b4o2b2o2b4o44bo17bo9b
o56bo4b2o5b2o4bo58bobo70b2o85bobo185b3o11bo4b6o2bo$33b3o22b4o2b2o2b4o
62b4o3b4o55bo3b3o2bobo2b3o3bo53b2ob2o72b2o81b2ob2o180b7o2bo13bo2bo2bo
4b2o$58b4o2b2o2b4o43b2o21bobo63b2ob3ob3ob2o57bo2bo2bo70b2o81bo2bo2bo178b
o2bo2bo15b2o$36bo21b4o2b2o2b4o44b2ob2o13b3obobob3o62bobobobo65b2o70b2o
86b2o$8b3o24bobo20b4o2b2o2b4o42bo6bo11bo11bo3b2o55b3o3b3o136b2o$9bo26b
obo4b2o17b2o2b2o46b2obo2bo3bo8b2obo5bob2o4bo200b2o$12bo8b3o13bobo3b2o
17b2o2b2o51bo3bobo11bo3bo3bob3o56b3o3b3o136b2o$11b2o9bo15bo2b2o2b2o15b
2o2b2o55bobo19bobo59bobobobo137b2o$12bo6bo21b2o3bo15b2o2b2o52b2obo2b2o
14b2obo2b2o54b2ob3ob3ob2o134b2o77bo4bo$19b2o20bo3bo18b2o58bobo19bobo51b
o3b3o2bobo2b3o3bo130b2o76b2o4b2o815bo14bo7bo$19bo22bobo19b2o51bobobob
2o2bo10b2obobob2o2bo51bo4b2o5b2o4bo131b2o75bobo4bobo264b3o7b3o13b3o10b
3o111bo2bo101b4o17b2o7b2o29bo4bo39bo61bo6bo11bo15bo14bo6bo11bo5bo47b3o
13bo7bo$43bo73b3obo3b2o11bob2obo3b2o53b2o2b2o5b2o2b2o132b2o74b3o6b3o263b
o2bo2bo2bo2bo13bob2o3b2o3b2obo110b2o2b2o96b3ob4ob3o12bob3o3b3obo27b3o
2b3o33b4obob4o55b3o4b3o9b3o8b3o2b3o2b3o7b3o4b3o9b3o3b3o46b3o12bobo5bo
bo$119bobob2o18bob2o53bo3bo11bo3bo130b2o347bobo2bobobobo2bobo11bo2b4o
2b4o2bo108b3ob2ob3o93bobo8bobo10b2o3bo3bo3b2o25bo2b4o2bo32bobobobobob
o55b3o4b3o9b3o9bo3b3o3bo8b3o4b3o9b3o3b3o43b3o3b3o54b3o18b2ob2o18b2ob2o
52bo11bo11bo7bo6b2o13b2o60b2o6b2o125bo23bo121b3o$122bobo18b2obo54bo2b
o11bo2bo131b2o347bo2bobobobobobo2bo13bo4b2o4bo109b2obo4bob2o89b2obo5b
2o5bob2o7b2obo2bobo2bob2o67bobo2bo2bobo176b3o3b3o9bobo5bobo34b2ob2o15b
obobobo15b2obobob2o49bobo9bobo9bobo5bobo5bob5obob5obo59b2obob2obob2o124b
2o22b2o119bobo$202bo2bo9bo2bo132b2o346b2ob2o3bobo3b2ob2o10bo2b4o2b4o2b
o209bo7b2o7bo8bob2o3bo3b2obo66bobob5obobo173b3o2bobo2b3o54b2ob2o12b2o
bobob2o13b3obobob3o47bo2bo9bo2bo8bo2bo3bo2bo6b3o4bo4b3o63b6o126bob2o20b
ob2o114b2o3bo2b2o$203bo2bo7bo2bo133b2o273bo2bo7bo2bo59bo2bob3ob3obo2b
o10b4o4b2o4b4o107bo8bo89bo3b2o10b2o3bo9bo3bo3bo32b2o35bo11bo59b3ob3o6b
5o10b3ob3o10bo6b2ob2o9b2ob2o48bobo10b2o3b2ob2o3b2o34b3obo10bobo2bobo2b
obo11b3obobob3o48b2o11b2o10b2o5b2o10b9o195b3obobo17b3obobo112bobo2bo$
9bo11bo12b2o13b4o2b4o150b4o138b2o74b3o6b3o186bo2bo9bo2bo58b2o3bobobob
o3b2o9b2o3b4o2b4o3b2o104bobo8bobo86bobo5bo6bo5bobo6b3o7b3o28b2o2b2o38b
3o65b2ob2o7bo3bo7b2o9b2o6b2o7bo2bo10bobo49bobo11bobobo3bobobo38bo16bo
bo16b2o2bobo2b2o50bo9bo11bo9bo9bobo3bobo64bo2bo2bo2bo122b2o22b2o116bo
3bobob2o$9b2o9b2o12bobobo9bob3o2b3obo151b2o138b2o75bobo4bobo186bo2bo11b
o2bo57bo4bobobobo4bo9b2o2b2o3b2o3b2o2b2o102bo2bo10bo2bo91bo8bo16b3ob3o
30b2o4b2o32b2ob3ob3ob2o62bo7b2o5b2o5bobo7bobo5b3o4b4o2bo7b2obobob2o46b
obo13bo7bo35b2o16bobobobobobo13bo2bobo2bo51b3o5b3o11bo9bo10bobobobo65b
obob2obobo121bob2ob2o17bob2ob2o113bob2obobo$9b2o9b2o14bob3o7bo2bo4bo2b
o369b2o4b2o186bo3bo11bo3bo57b2o4bobo4b2o12bo14bo104b3o12b3o91bo8bo11b
2o5bobo5b2o26bob2obo34bob3ob3obo74bobo9bo9bo5b3o5bob2o2bo8bo5bo46bo3b
o12bo7bo38bo15bo2bobo2bo14b2obobob2o51b2o7b2o10bo2b2o3b2o2bo10bo3bo66b
o2bo2bo2bo121bo2b2o2bo16bo2b2o2bo110bob2ob2obo$10bo9bo15bo4bo7b2o2b2o
2b2o147b2ob2o219bo4bo189b2o2b2o5b2o2b2o59b2o4bobo4b2o17b6o217bo10bo9b
o2bo4bobo4bo2bo26bo2bo36bobo3bobo71bo4bo4bo22bo7bobo9b2o7b2o42b2o5b2o
57bo16bobobobo16bobobobo52b4o3b4o9b3o9b3o11bo69bo2b2o2bo123bo2bobo18b
o2bobo109bob3o3bo$13bo3bo16bob2ob2obo7bo6bo147bob3o2bo411bo4b2o5b2o4b
o63bo3bo20b2o6b2o215bo10bo10bob2o9b2obo23b2ob6ob2o29b2o3bo3bo3b2o68b2o
7b2o95b2o5b2o9b3o5b3o55b2ob2o18b2ob2o52b3o2bobo2b3o9bo11bo81b2o6b2o122b
ob3o19bob3o109b2obobo5b2o$11b2obobob2o9bo2bobo5bobo7bo6bo148b3o2b2o410b
o3b3o2bobo2b3o3bo58b2o3bobo3b2o15bob8obo214bo10bo12b2o9b2o29bo2bo38bo
3bo73b3o5b3o23b3o87b3o5b3o36b3o15bobobobo74b3o2bobo2b3o10bo9bo82bo2bo
2bo2bo120bo23bo110b2ob2ob2o4b6o$11bo2bobo2bo9b4o3b3o2bo7b2o2b2o2b2o568b
2ob3ob3ob2o62bo2b3ob3o2bo12b2obo10bob2o211bo10bo11b3o9b3o65b2ob3o3b3o
b2o103bo71bo5bo10bo9bo36bobo13b3obobob3o14bo5bo55b2ob2o15bobo3bobo9b3o
bobob3o63b2ob4ob2o118b3o21b3o110b2obob2obobobobo$11b3o3b3o14b2o3b2o7b
o2bo4bo2bo570bobobobo65b2o3bobo3b2o13bobobo6bobobo315bo4b2ob2o4bo101b
o71bo9bo55b3o13b2obo3bob2o11b4o5b4o71bo9bo8b2o7b2o191bobo21bobo109bo3b
obob2obobo$31b3o3b2o9bob3o2b3obo55b3o10b4o20b4o473b3o3b3o67b2obob2o14b
obobob2o4b2obobobo231b2o15b2o64bo3bo3bo3bo104bo69bo2bo3bo2bo7bob3o3b3o
bo50b2obo5bob2o10b2obo5bob2o52b5o15bo7bo11bo5bo193bo2bo20bo2bo108bo3b
ob3obo2bo$31bo2b3obo10b4o2b4o56bo2bo9b4o20b4o496b3o9b3o33b5o7b5o9bo4b
obo4bobo4bo234bo11bo71bo3bo105b2o71bo3bobo3bo6b2ob2obobob2ob2o49b2o9b
2o9bo2bo7bo2bo51bobobo12bobobo2bo2bobobo10bobo190b2o2bo3bo15b2o2bo3bo
112b3ob3ob2o$34bo81b3o9b4o2b16o2b4o473b3o3b3o14b3o9b3o32bo5b7o5bo9bob
o2bo2b2o2bo2bobo233b2o13b2o67bo2bobo2bo180bobo10b2o4bobo4b2o33bobobo11b
2o9b2o11bob2o3b2obo70b2ob2obobob2ob2o8b2obob2o187bo2bo2b2obo14bo2bo2b
2obo110bo4bo2bob2o$116b2o10b4o2b16o2b4o474bobobobo14bo15bo30b2ob4o7b4o
b2o11b4o4b4o319b3obobob3o174bo2bobobobo2bo11bobo40bobo35b2obobobobob2o
68bob4ob3ob4obo8b5o191bobo4bo16bobo4bo110bo3bo2bo$116b2o10b4o20b4o55b
2o414b2ob3ob3ob2o10bobobo9bobobo29b2obo3bo5bo3bob2o10bo2bob4obo2bo219b
2o13b3o13b3o65b3o5b3o175bo9bo11bo3bo37bob3obo34bobobobobobo70bo2b2o2b
o2b2o2bo8b2obob2o183b2o2bo2b2o5bo9b2o2bo2b2o5bo110bobo2bob2o$128b4o20b
4o43bo3bo3bo3bo65b2o4b2o338bo3b3o2bobo2b3o3bo4b2obob2o9b2obob2o32b3o2b
o2b3o16b2o8b2o219bob3o95b2o7b2o174bob4ob4obo8bobo3bobo35b2o3b2o35b3o3b
3o73b11o9b2obobob2o183b2obob2o4b2o11b2obob2o4b2o112bo2b4o$199bob2ob2o
bo5b2o63b2o2b2o340bo4b2o5b2o4bo5b2o2b3obo5bob3o2b2o35b5o17bo2bo2b4o2b
o2bo212b2o2b2o3b2o12bo13bo68b3o3b3o174b2o3b2ob2o3b2o51b2o3b2o116bobo2b
obo2bobo7bobo5bobo183bo23bo120bobo$197b2obo5bob2o65bo2bo4bo2bo338b2o2b
2o5b2o2b2o6b2ob3ob3o3b3ob3ob2o33b3o3b3o16bobo2b4o2bobo211b3ob3obo2b2o
95b3o3b3o174b2o2bo5bo2b2o6b2obo3bob2o35b2ob2o119bob2ob2obo9b2o3bo3b2o
183bobob2o18bobob2o108b2o4b3o$49bo7bo141bo7bo3bo2bobo58b3o6b3o336bo3b
o11bo3bo10bo3bobo3bo39bo7bo16bobo8bobo211bo6b3o4b2o9b2o11b2o71bobo179b
obo5bobo7bo2bo5bo2bo157b2obo3bob2o12b3o186bo2bo20bo2bo110b3ob2o3bo$33b
2o12b5o3b5o138bo9bo67bo8bo338bo2bo11bo2bo10b2ob3ob3ob2o63bob2o6b2obo209b
o2bobobob2o6b2o91b2obobob2o195bo2bo3bo2bo37bo120bob2o3b2obo11bo3bo184b
o2b2o19bo2b2o109bo5b2obo$11b2o20bo12bo5bobo5bo137bo9bo7bobo406bo2bo9b
o2bo12bobobobobobo66b3o4b3o211bo6bob2o16b3o9b3o67b2o2bobo2b2o177bo5bo
12bobobobo39bo119b3o7b3o10bo3bo183b3o2bo18b3o2bo111b2obo$12bo19b3o10b
ob3o2bobo2b3obo15b2obob2o113bo11bo416bo2bo7bo2bo14b3o3b3o67bo2b4o2bo213b
4o9bo11bo13bo65b2obobo3bobob2o175b3ob3o178bobo7bobo10bobobo183b3o2bo18b
3o2bo111bob2obo$11bo27b2o4bobo4bobo4bobo15bob2obobo113bo9bo9bobo55bo8b
o445bo3b2o3bo214bobo9b2o11bo11bo66b3o2bo3bo2b3o361bo9bo204bo23bo110bo
b2o2b2o$11b2o3b2o12b7o2bo4b2obo2bo5bo2bob2o19bo2bo112bo9bo11bo54b3o6b
3o5b3o3b3o352b3o3b3o68bobo6bobo214bo9b3o92bob2o3b2obo174b2o2bo3bo2b2o
178b3ob3o15bo320b2obob3ob3o$9b2o3b3obo10bo7bobo5bo3bob2ob2obo3bo12bo3b
4obobo113bo7bo14bo52bo2bo4bo2bo5bo2bobo2bo351bobobobobobo69bo6bo226bo
92b3o9b3o172bob2o5b2obo178bobobobo225bo108bo3b2o$9bo2b2o4bo9bo2b4obo2b
2o4bo4bobobobo4bo7b2o2bobobo5bo2b2o109b2obo5bob2o11b2o55b2o2b2o8b2obo
bob2o350b2ob3ob3ob2o66b2o8b2o223bo94b2o2bo3bo2b2o175bo2bobo2bo182bobo
226b3o107b2o2bo2b2ob3o$10b2obob2obob2o5bob2obo4bobo6b3ob2o3b2ob3o9b4o
bobobobo2bobo112bob2ob2obo69b2o4b2o9bo3bo79bo4bo268bo3bobo3bo302bo93b
2ob2o5b2ob2o173b2o2bobo2b2o412bo105b2o3b3o3bo$11bo3bob2o2bo5bobo4bob2o
bo28bo6bobob2o2b2obo31b2o79bo3bo3bo83bo9bo76b6o257b3o2b2ob3ob3o3b3ob3o
b2o62b2o6b2o224bo95b2ob5ob2o178b2ob2o413b2o107bo5b2obo$11bob3o3bo6b2o
2bob4o2bo7b3ob2o3b2ob3o6bob2o2b2obobo6bo27bo2bo2bo170b2o9b2o46bo4bo23b
6o252bobo3bo3b2o2b3obo5bob3o2b2o296bo95b5ob5o179bobo521bob2o5bobo$8b2o
b3o2b3o8bobo7bo7bo4bobobobo4bo5bobo2bobobobob4o29b2ob2o172b2o9b2o46b6o
23bo4bo253bo8b2obob2o9b2obob2o63bo6bo322b2obobob2o179bo3bo521bobo4bob
2o$8bobo3bobo10bo2b7o8bo3bob2ob2obo3bo4b2o2bo5bobobo2b2o32bobo5bo3bo3b
o156bo11bo46b6o19b4o6b4o249bo10bobobo9bobobo394bo2b5o2bo704bo6bo$11b4o
bo9b2o16b2obo2bo5bo2bob2o5bobob4o3bo45bob2ob2obo215bo4bo20b2o3b2o3b2o
228b3o9b3o19bo15bo66b3o2b3o321bo2bo3bo2bo702bo3bo5bo$15bo16b3o10bobo4b
obo4bobo6bo2bo45bo2bo2b2obo5bob2o209b4o6b4o16b2o2bo2bo2b2o228b3o9b3o20b
3o9b3o65b3o6b3o321b2o3b2o703bobob2o2bo3bo$13bo19bo11bob3o2bobo2b3obo7b
obob2obo40bobo5bo7bo212b2o3b2o3b2o6bo10b2o2bo2bo2b2o227bo15bo19b3o9b3o
69bo2bo1036bo2bob5o$13b2o17b2o12bo5bobo5bo9b2obob2o41bo5bo9bo211b2o2b
o2bo2b2o6b2o9b2o3b2o3b2o226bobobo9bobobo10bo88b2o6b2o215b2ob3o2bo98b2o
3b2o702b3o2b2o3bo$47b5o3b5o64bo9bo211b2o2bo2bo2b2o6bo9b4o6b4o223b2obo
b2o9b2obob2o8bo88bo8bo213b2ob2o2bob2o3bo93b3obob3o705bo3bo$49bo7bo65b
o11bo210b2o3b2o3b2o20bo4bo227b2o2b3obo5bob3o2b2o3bo3bobo86b3o6b3o217b
o2bobob3o94b7o709bo$124bo9bo210b4o6b4o19b6o227b2ob3ob3o3b3ob3ob2o2b3o
91bobo6bobo211bobob2o4b2o4bo90b2ob3ob3ob2o700b3o$124bo9bo214bo4bo23b6o
233bo3bobo3bo101b2ob2o4b2ob2o209b2o16bo802bob2o$125bo7bo215b6o23bo4bo
232b2ob3ob3ob2o100bo3bo4bo3bo212bo7bo3bo2bo92bob3obo$46b2ob2o72b2obo5b
ob2o213b6o262bobobobobobo102bobo6bobo211bo11bob2o2bo90bo3bo3bo$10b4o9b
4o20bobo75bob2ob2obo215bo4bo263b3o3b3o104bo8bo210bob2o9bo2b2obo91bobo
bobobo$9bob3o9b3obo19bobo75bo3bo3bo597bo8bo211bo10b2o5b2o89b2o7b2o$9b
2ob2o9b2ob2o18b2ob2o565b3o3b3o14bo2bo7bo2bo298bo2b2o14bo90bo7bo$9b3ob
o9bob3o18bo3bo564bobobobobobo12bo2bo9bo2bo300bo14bo91b2o5b2o$9b4obobo
3bobob4o14b2obo5bob2o559b2ob3ob3ob2o10bo2bo11bo2bo300bo106b2o3b2o$13b
2o2bobo2b2o17bob2obo3bob2obo559bo3bobo3bo10bo3bo11bo3bo298bo107b2o3b2o
$15b3ob3o19b2o3bo3bo3b2o59bo2bo2bo487b2ob3ob3o3b3ob3ob2o6b2o2b2o5b2o2b
2o408b3ob3o$13bobobobobobo18bo2bo5bo2bo60b7o487b2o2b3obo5bob3o2b2o5bo
4b2o5b2o4bo407b3ob3o$14b3o3b3o18bo2bo7bo2bo66b2o305b2o178b2obob2o9b2o
bob2o4bo3b3o2bobo2b3o3bo404b2obo3bob2o$36bo2b2ob2o9b2ob2o2bo52b3obob2o
3bo223bo9bo70bobo179bobobo9bobobo10b2ob3ob3ob2o407bobob2ob2obobo$14b3o
3b3o13b4o17b4o51bo2bo3bob2obo2bo221b2o5b2o73bo2bo177bo15bo14bobobobo410b
obobobobobobo$13bobobobobobo89bo3bobo3bob5o218bob2o3b2obo71b2obobo177b
3o9b3o14b3o3b3o408b2obo3bo3bob2o$15b3ob3o14b4o17b4o53b4ob3obo6bo148bo
9bo58bo9bo74b2o178b3o9b3o431bo13bo$13b2o2bobo2b2o12bo2b2ob2o9b2ob2o2b
o57bo3bobob4obo148b2o5b2o55bob2obo2bobo2bob2obo67b2o210b3o3b3o410bo3b
obo3bo$9b4obobo3bobob4o13bo2bo7bo2bo60b5obobobo2bobo147bob2o3b2obo55b
o2bo3bobo3bo2bo69b2ob3o206bobobobo410b2obobobobob2o$9b3obo9bob3o14bo2b
o5bo2bo61bob2o2bo3bobo2b2o146bo9bo55b2o4bo3bo4b2o70bobo2bo202b2ob3ob3o
b2o$9b2ob2o9b2ob2o13b2o3bo3bo3b2o61bo2bo2b4obobo144bob2obo2bobo2bob2o
bo52bo3bo5bo3bo75b2o198bo3b3o2bobo2b3o3bo404bo9bo$9bob3o9b3obo13bob2o
bo3bob2obo62b2o7bo2bo145bo2bo3bobo3bo2bo55b2o7b2o278bo4b2o5b2o4bo406b
2o2bo2b2o$10b4o9b4o15b2obo5bob2o67bob2obobo146b2o4bo3bo4b2o345b2o2b2o
5b2o2b2o405bo2b3ob3o2bo$46bo3bo71b2obob2o148bo3bo5bo3bo56b2o7b2o277bo
3bo11bo3bo404bo3bobo3bo$46b2ob2o228b2o7b2o56bo3bo5bo3bo10b2o264bo2bo11b
o2bo403bo2bo2bobo2bo2bo$47bobo295b2o4bo3bo4b2o10bo265bo2bo9bo2bo404bo
3bobobobo3bo$47bobo229b2o7b2o55bo2bo3bobo3bo2bo8bo268bo2bo7bo2bo406b3o
2bobo2b3o$46b2ob2o226bo3bo5bo3bo52bob2obo2bobo2bob2obo5bobo59b2o627b2o
2bobobobo2b2o$276b2o4bo3bo4b2o55bo9bo69b2obo626b3o2bobobobo2b3o$276bo
2bo3bobo3bo2bo55bob2o3b2obo7bobo59bo2bo626b3o4bobo4b3o$275bob2obo2bob
o2bob2obo55b2o5b2o71b3o633bobo$37bo241bo9bo58bo9bo5bobo63bo633b2ob2o$
11bo25bo15b4o59b2o13bo9bo12b2o6b2o115bob2o3b2obo$10bo2bob2o14bo7bo13b
4o58bobo2b2o9bobo5bobo7b2o4b2o4b2o4b2o111b2o5b2o74b2o$9bo6bo15b4o2bo14b
4o58b2obob3o8b3o5b3o7bo2bo3bo4bo3bo2bo110bo9bo5bo65bo$10b2ob2o7b2o5b2o
2b2o2b2o14b4o60bo2b2o28b3o12b3o127bob2o62b2o$14b2o6bobo12b2o14b4o143b
o93bo$23b2o7bo5bo14b4o59b3o31b3o12b3o33bo11b2o78b2ob2obo$14bo5bo11b2o
19b4o59b3o12b3o5b3o7bo2bo3bo4bo3bo2bo29bo2bo2bo6b2obo78bo4bo$14b2o2b4o
10b2o2b2o2b2o11b4o60bo13bobo5bobo7b2o4b2o4b2o4b2o30bo2bo2bo5bo2bo79b3o
$20bo11bo2b4o14b4o74bo9bo12b2o6b2o36b2obobo6b3o81b2o$17bo2bo10bo7bo13b
4o145bob2o7bo$16bobo14bo19b4o145bobo$17bo15bo19b4o146bo$53b4o290b2o11b
2o$53b4o289bobo11bobo$53b4o288bo3b3o5b3o3bo$53b4o287bo5b2o5b2o5bo$13b
2o8b2o319b2o3bo9bo3b2o$14bo8bo322bobo2bo5bo2bobo$11b5o6b5o91bo4bo222b
2o2bo2bobo2bo2b2o$10bo5bo4bo5bo14bo74b2o4b2o75bob3obo139b2obob3ob3obo
b2o$10bo2b3o6b3o2bo12b2ob2o71bobo4bobo73bob5obo143bobobobo$8bobobobo8b
obobobo10bo3bo70b3o6b3o71bob2o3b2obo141b3o3b3o$8b3ob2o10b2ob3o11bobo153b
obo7bobo$10bobo3b6o3bobo12bo3bo153b2o7b2o141b3o3b3o$11bo3bo6bo3bo9b2o
bo5bob2o148b2o9b2o141bobobobo$15bo6bo13bobo7bobo148b2o9b2o136b2obob3o
b3obob2o$15bo6bo12bo13bo65b3o6b3o70b2o9b2o136b2o2bo2bobo2bo2b2o$15bo6b
o13bobo7bobo67bobo4bobo72b2o7b2o137bobo2bo5bo2bobo71b14o$15bo6bo13b2o
bo5bob2o68b2o4b2o72bobo7bobo134b2o3bo9bo3b2o63bo5b14o$11bo3bo6bo3bo13b
o3bo73bo4bo74bob2o3b2obo135bo5b2o5b2o5bo62bobo2b2o14b2o$10bobo3b6o3bo
bo13bobo155bob5obo137bo3b3o5b3o3bo60bobobobob2o14b2o$8b3ob2o10b2ob3o10b
o3bo155bob3obo139bobo11bobo61b3o7b14o$8bobobobo8bobobobo10b2ob2o302b2o
11b2o64bo7b14o$10bo2b3o6b3o2bo14bo235b4o9b4o132b3o$10bo5bo4bo5bo249bo
b3o9b3obo$11b5o6b5o181b2o67b2ob2o9b2ob2o$14bo8bo181bobob2o66b3obo9bob
3o131b3o$13b2o8b2o91b2o6b2o79bo5bo65b4obobo3bobob4o130bo$117bo6bo81b2o
bobo69b2o2bobo2b2o132b3o$116b3o4b3o81b2o74b3ob3o134bobobobo$115bo3bo2b
o3bo154bobobobobobo135bobo$114bobo2bo2bo2bobo154b3o3b3o63b12o62bo$69b
2obo42bo3bo2bo3bo227b12o$14bo9bo14b2o7b2o19bob2o43bo8bo156b3o3b3o63b12o
$15b2o5b2o15bo3bobo3bo231bobobobobobo62b12o$14bob2o3b2obo13b6ob6o19b3o
210b3ob3o60b4o12b4o$14bo9bo12bo13bo14b2obo3bob2o204b2o2bobo2b2o58b4o12b
4o$10bob2obo2bobo2bob2obo6b3o2b9o2b3o13bobo3bobo201b4obobo3bobob4o52b
2o4b12o4b2o$11bo2bo3bobo3bo2bo7bobobo9bobobo10bo2bo2bobo2bo2bo43b8o147b
3obo9bob3o52b2o4b12o4b2o$11b2o4bo3bo4b2o9bobo9bobo12b3obo5bob3o43b8o147b
2ob2o9b2ob2o52b2o4b12o4b2o$12bo3bo5bo3bo10bobo9bobo15bo7bo46b8o147bob
3o9b3obo52b2o4b12o4b2o$14b2o7b2o11b2obo9bob2o11b2o11b2o2b2o39b8o148b4o
9b4o53b2o4b12o4b2o$39bo9bo10b2obo2bo9bo2bo2bo265b2o4b12o4b2o$14b2o7b2o
11b2obo9bob2o8bobo15bobo268b4o12b4o$12bo3bo5bo3bo10bobo9bobo8bo2bo2bo
9bo2bob2o267b4o12b4o$11b2o4bo3bo4b2o9bobo9bobo8b2o2b2o11b2o275b12o$11b
o2bo3bobo3bo2bo7bobobo9bobobo13bo7bo216bo2bo58b12o$10bob2obo2bobo2bob
2obo6b3o2b9o2b3o10b3obo5bob3o275b12o$14bo9bo12bo13bo12bo2bo2bobo2bo2b
o212bo4bo2bo54b12o$14bob2o3b2obo13b6ob6o16bobo3bobo213b3ob2ob4o$15b2o
5b2o15bo3bobo3bo16b2obo3bob2o211bo3bo2bo$14bo9bo14b2o7b2o20b3o215bob2o
b2ob2o$289bo2bo3bobob2o$70b2obo216bobobo3b2obo$70bob2o217b2ob3o$293bo
4b3o$293bobobo2bo$294b2ob2o$297bo$297bobo$298b2o!

Linear growth patterns:
c/4d tubstretcher

Code: Select all

x = 66, y = 65, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo4bo$13bo6bo$16b4obo$15bo4bo$15bob2o2bo$15bobo2b2ob2o$13bobo
7b2o$14bobobo3bo2bo$15bob2o3b3o$20b2ob2o2b2o$18b2ob2ob2o3bo$18b2ob3o2b
3o$20bo2bo3b2o$24bo3b2o$22bob2obob2o$22bob3o2bo$23bo2b7o$27bob3obo$29b
6o$29bobob2o$30b3obo$31b4o$37bo$37bo$36bobo$39b2o$40b2o$40bo$41bob2o$
44bo$43bo$44bobo$43bo2bo$45b2o$48b3o3$49b3o$51b2o$53b2o$54b2o$54b2o$56b
o$57bo$57b2o2$57bo2bo2$58b2ob2o$60bo3bo$65bo$63b3o!

c/3d tubstretcher

Code: Select all

x = 72, y = 99, rule = B3/S23-a5
14bo$13b4o$11b2o2bob2o$11bo2bo3bobo$10bo3bo4bobo$14b2o3b2o$8bobo3b2ob
3o$7bobob3ob2obo$6bo3bo4b3o2b2o$7bo6bo3b3o$4bobobob2o3b4o4bo$2b2o3bo2b
2o9bob2o$2bo4bo12bo4bo$bo5bo11bob2o$2ob4o2bo$b2o2b4obo8b2o$bo5b2obo8b
2ob2o$2bo3bobobo7bobo$2b2o2b2ob2o5bo$4b3o3b2o3b2o2bobo$3bobo2b2o2bob2o
5bo4bo$4bo3bob2o3bob3ob2obobo$11bo2b3ob2o2bo4b2o$8b2o4b3ob2o2bo2b2obo
$10bo12bo3bo$11bo3b2obo5b4o$9bo2bo4b2o2bobo2b2o$8b3o7bo3b2o3bob2o$7b3o
2b2o4bobo4bo3bo$6b3o4bobo4bobob2o2bo$11b3obob2ob3ob2o$13bo6bo2b2o$13b
obobo6b4o$17bo2b7ob3o$15bo2b2ob2obo2bo$14bobob2o3bo5bo$18b2o2bo4bo$16b
o5bo2bo2bo$20bo4b3obo$15b3o3b2o3b2ob2o$15bo8bo4bo$16bobobobob2ob7o$15b
3obo2bo2bobo2bo2b2o$15bobo3bo4bob2o3b2o$16bob2o3bo4bo7bo$17bo3b3o3bo5b
o2b2o$16b2o4b3o7b2o2bo$16bo2bobobo8b2o$16bo3b2o10b2obo$18bobo2bo3bo3b
ob2o$21b2o3b2o3b3obo$20bob2ob2obob4o$21b3o2b4ob3o2b2o$22bob2obo4bobob
2o$22bob2o5bob2obo$22bobo3bo4bobo$23b2o4b2o4b2o$23bo4bo3b2o2bobo$24bo
3b3o3bo2bobo$25bob2o6b2ob3o$27b2o5bo4b2o$29bo3b3o2b2o$32b2o2bob2o$32b
o3b2o$33bo4bobo$38bo2bo$42bo$40bo$41bo$42bo2b2o$44b2obo$43bobo$42b3ob
o$42bo2bobo$43bo2bobo$47bobo$48bobo$49bobo$50bobo$51bobo$52bobo$53bob
o$54bobo$55bobo$56bobo$57bobo$58bobo$59bobo$60bobo$61bobo$62bobo$63bo
bo$64bobo$65bobo$66bobo$67bobo$68bobo$69bobo$70bo!

p16 backrake

Code: Select all

x = 51, y = 85, rule = B3/S23-a5
21b2o5b2o$20b2ob2ob2ob2o$20b2obo3bob2o2$22b2o3b2o$22b3ob3o$24b3o$25bo
2$23b2ob2o$20bo4bo4bo$18b2ob4ob4ob2o$19bo3b5o3bo$21bobobobobo$23bo3bo
$22b2o3b2o$22b3ob3o$17b3o2bobobobo2b3o$18bobobo5bobobo$20bo2bo3bo2bo$
18bobo9bobo$19b2o9b2o$20b2o7b2o$19b3obo3bob3o$22bo5bo$18b2o2bo5bo2b2o
$18bob2obo3bob2obo$20b2o7b2o7$18bo13bo$16bo2bo11bo2bo$16b2o15b2o$17bo
bo11bobo$17bobo11bobo8$13bo23bo$12bo25bo$12b3o21b3o10$9bo31bo$8bo33bo
$8b3o29b3o10$5bo39bo$4bo41bo$4b3o37b3o10$bo47bo$o49bo$3o45b3o!

Growing spaceship, frontend c/2, backend 16c/57, grows at 25c/114:

Code: Select all

 x = 49, y = 86, rule = B3/S23-a5
20b2o5b2o$19b2ob2ob2ob2o$19b2obo3bob2o2$21b2o3b2o$21b3ob3o$23b3o$24bo
2$22b2ob2o$19bo4bo4bo$17b2ob4ob4ob2o$18bo3b5o3bo$20bobobobobo$22bo3bo$
21b2o3b2o$21b3ob3o$16b3o2bobobobo2b3o$17bobobo5bobobo$19bo2bo3bo2bo$
17bobo9bobo$18b3o7b3o$20bo7bo$19b2o7b2o$19bo9bo3$17b3o9b3o$17b2o2bo5bo
2b2o$15b2ob2obo5bob2ob2o$2b3o3b3o4b2o2bo9bo2b2o4b3o3b3o$bo2bo3bo2bo4b
2o13b2o4bo2bo3bo2bo$bo3bobo3bo5bobo9bobo5bo3bobo3bo$3bobobobo8bo11bo8b
obobobo$2o2bo3bo2b2o23b2o2bo3bo2b2o$obob2ob2obobo23bobob2ob2obobo$3bob
obobo29bobobobo$4bo3bo31bo3bo$15b2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo
$15b2o15b2o5$15b2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o5$15b
2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o2$20b3o$20bo$21bo$15b
2o15b2o$14bo2bo13bo2bo$14bo2bo13bo2bo$15b2o15b2o2$20b3o$20bo$21bo$15b
2o$14bo2bo$14bo2bo$15b2o2$20b3o$20bo$21bo$15b2o$14bo2bo$14bo2bo$15b2o
2$20b3o$20bo$21bo!

p204 T gun:

Code: Select all

x = 62, y = 158, rule = B3/S23-a5
54bo$43bob2o5b3o$42bob2o3bobo$42b3ob4ob4o$44b2o9bo$41bobob2o3bo3b2o$38b
obob2o6bo$38b2obobo$41bo$41b2o9bo$39b4o9bo$38bo3bo$38bob3o8b3o$39bob2o
$41bo$41bobo$42b2o35$32b2o$28b2obobo$29bobo14b3o$29bobo15bo$30b2o$33b
2o$18b2o10b2o$19bo9bobo$18bo8b3obo$18b4o3b3obobobo18bo$22bobo7b2o18bo
$18b2obo3bob2o$17bo2b2o3b2o2bo21b3o$17b2o9b2o$4b2o$3bobo$3bo28bo$2obo
28b2o$ob2obo2b3o21bo$5bo3bo27bo$ob2obo31bo$2obo32bobo$3bo$3bobo$4b2o7$
24bo31b2o$24bobo29bobo$24b2o32bo$58bob2o$56bob2obo$56bo$28bo27bob2obo
$26b2o30bob2o$28bo29bo$56bobo$56b2o$32b2o9b2o$32bo2b2o3b2o2bo$33b2obo
3bob2o$37bobo$33b4o3b4o$26b2o5bo9bo$26bo7bo7bo$27b3o3b2o7b2o$29bo19$8b
3o$9bo6$14bo$14bo2$13b3o11$18b2o$18bobo$20bo$19b2obo$19b3obo$19bo3bo$
19b4o$19b2o$20bo$18bobob2o$11bo6b2obobo$6b2o3bo3b2obobo$6bo9b2o$7b4ob
4ob3o$10bobo3b2obo$7b3o5b2obo$7bo!

Team members:
These are people who have made significant discoveries in the rule.
If you no longer want to identify as a person in this group, or if I missed someone, PM me.
- ThePlayzr
- Resu
- mmmmmmmmm
- hotcrystal0
- hibiscus
- PK22
- H. H. P. M. P. Cole
- LuveelVoom
- pifricted
- AbhpzTa
- rabbit
- R2INT
- yujh
- EvinZL
- FWKnightship
- shuich01
- PkmnQ
- I6_I6
- NNlk05
- yyh_baboon
Milestones:
Most things here start 2 weeks after the creation of the thread for simplicity.
Periods known up to 100:
63 periods, including reflectors made from of p3s, p7s, p10s, and p11s, as well as a lot of other periods, as of June 14th, 2025.
77 periods, with the addition of all even periods, as of July 7th, 2025.
78 periods, with the addition of p65, as of July 16th, 2025.
80 periods, with the addition of reflectors made from p5s, as of August 1st, 2025.
81 periods, with the addition of p17, as of January 23rd, 2026.
82 periods, with the addition of p27, as of July 21st, 2026.
p19, p23, p29, p31, p37, p41, p43, p47, p53, p59, p61, p67, p71, p73, p79, p83, p89, and p97 remain up to p100.
Wiki pages: OCA:Travelling Ts, User:PK22/OCA:Travelling Ts, User:PK22/OCA:Travelling Ts/SKOP, User:PK22/OCA:Travelling Ts/Syntheses, User:hotcrystal0/OCA:Travelling Ts/Oscillator stamp collection, & User:PK22/OCA:Travelling Ts/Full Stamp Collection.

[Resu]

Not updated anymore.

[ThePlayzr]

Would this include rules where the 3o$bo! / bo$bo$obo! / bo$3o$3o! / bo$bo$obo! are spaceships, but not the c/4 orthogonal period 4 spaceship or rules where it is a puffer, a wickstretcher, a growing spaceship or rake ?

Code: Select all

x = 562, y = 30, rule = B3/S23-a5History
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2D16.2D15.2D16.2D15.2D16.2D15.2D!

I have made this a one rule thread, so this question is no longer relevant. Also, these reactions were quite useful, as they revealed a c/2 spaceship! Below is the spaceship isolated.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
2bo$2ob2o$bobo

[Resu]

I have made this a one rule thread, so this question is no longer relevant. Also, these reactions were quite useful, as they revealed a c/2 spaceship! Below is the spaceship isolated.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
2bo$2ob2o$bobo

Interesting reaction from two colliding c/2 spaceships:

Code: Select all

x = 10, y = 10, rule = B3/S23-a5
6bobo$5b2ob2o$7bo5$2bo$2ob2o$bobo!

Also, the collection of collisions is now complete.
4 xq2_4ra collision creating a toad:

Code: Select all

x = 19, y = 13, rule = B3/S23-a5
15bobo$5bobo6b2ob2o$4b2ob2o7bo$6bo7$2bo9bo$2ob2o5b2ob2o$bobo7bobo!

In this rule, there is a very common rotor:

Code: Select all

x = 4, y = 4, rule = B3/S23-a5
b3o$ob2o$o2bo$b2o!

[mmmmmmmmm]

p3 and p4 oscillator.

Code: Select all

x = 7, y = 6, rule = B3/S23-a5
bob2o$b2o2bo$4bobo$b4obo$o4bo$2o8$8o$8o$8o$8o!

edit: p6 and 14 oscillator

Code: Select all

 x = 7, y = 6, rule = B3/S23-a5
10o$10o$10o$10o10$6o$6o$6o$6o!

[hotcrystal0]

This rule has the 2x2 block evolution:

Code: Select all

x = 43, y = 2, rule = B3/S23-a5
4o3b8o3b10o3b12o$4o3b8o3b10o3b12o!

[mmmmmmmmm]

a 2x4 block with (n) 2×4 blocks added to the side makes a 2(n) + 2 oscillator. So we have a oscillator for every even period, so we are now 52% of the way to having all oscillators from period 1 to 100.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
4o2b8o2b12o2b16o$4o2b8o2b12o2b16o

[Resu]

One-time turner and shifting reaction:

Code: Select all

x = 36, y = 10, rule = B3/S23-a5
32bo$3bo28bob2o$b5o26bo$o5bo$b5o$3bo$24b3o2$25bo$25bo!

Code: Select all

x = 16, y = 8, rule = B3/S23-a5
12bo$12bob2o$12bo3$bo$3o$3o!

Large spark:

Code: Select all

x = 16, y = 9, rule = B3/S23-a5
12bo$12bob2o$12bo4$bo$3o$3o!

T "eating" another T (The first T is shifted forward. Discovered by ThePlayzr)

Code: Select all

x = 13, y = 8, rule = B3/S23-a5
11bo$11b2o$11bo3$bo$3o$3o!

THe glider works, too.

Code: Select all

x = 58, y = 58, rule = B3/S23-a5Super
40.A$39.A.A$40.A2$44.A$43.A.A$44.A10$56.A$55.A.A$56.A2$52.A$51.A.A$52.
A$17.A$16.A.A$17.A2$21.A$20.A.A$21.A2$11.3A$13.A$12.A2$5.A$4.A.A$5.A2$
.A31.A$A.A29.A.A$.A31.A2$29.A$28.A.A$29.A6$13.A$12.A.A$13.A2$17.A$16.
A.A$17.A!

[ThePlayzr]

One-time turner and shifting reaction:

Code: Select all

x = 36, y = 10, rule = B3/S23-a5
32bo$3bo28bob2o$b5o26bo$o5bo$b5o$3bo$24b3o2$25bo$25bo!

Code: Select all

x = 16, y = 8, rule = B3/S23-a5
12bo$12bob2o$12bo3$bo$3o$3o!

Large spark:

Code: Select all

x = 16, y = 9, rule = B3/S23-a5
12bo$12bob2o$12bo4$bo$3o$3o!

T eating T:

Code: Select all

x = 13, y = 8, rule = B3/S23-a5
11bo$11b2o$11bo3$bo$3o$3o!

THe glider works, too.

Code: Select all

x = 58, y = 58, rule = B3/S23-a5Super
40.A$39.A.A$40.A2$44.A$43.A.A$44.A10$56.A$55.A.A$56.A2$52.A$51.A.A$52.
A$17.A$16.A.A$17.A2$21.A$20.A.A$21.A2$11.3A$13.A$12.A2$5.A$4.A.A$5.A2$
.A31.A$A.A29.A.A$.A31.A2$29.A$28.A.A$29.A6$13.A$12.A.A$13.A2$17.A$16.
A.A$17.A!

very interesting, but that T eating T is incorrect, as the t is shifted 1 cell forward.

Code: Select all

x = 13, y = 8, rule = B3/S23-a5
16bo$16b2o$16bo3$bo4bo$3o2b3o$3o2b3o!

edit: your last reaction also happens with an eater.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
3b2o$3bo$bobo$b2o3$3o$2bo$bo

and an eater can be made with two Ts, so we could use that to make a loop of some sort. Also, can you show the p5 and p25 oscillators that you know exist in this rule? That would be helpful, thanks.

[Resu]

Also, can you show the p5 and p25 oscillators that you know exist in this rule? That would be helpful, thanks.

The p25:

Code: Select all

x = 12, y = 12, rule = B3/S23-a5
3bo4bo$2b2o4b2o$bobo4bobo$3o6b3o5$3o6b3o$bobo4bobo$2b2o4b2o$3bo4bo!

P5s:

Code: Select all

x = 10, y = 10, rule = B3/S23-a5
b2o4b2o$ob2o2b2obo$2obo2bob2o$b2ob2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$2obo2b
ob2o$ob2o2b2obo$b2o4b2o!

Code: Select all

x = 9, y = 9, rule = B3/S23-a5
3b3o$3bob2o$2obobobo$bobo2b3o$o2bo4bo$2o2b5o2$3bob2o$3b2obo!

Code: Select all

x = 22, y = 22, rule = B3/S23-a5
8b2o2b2o$9bo2bo$4bo2bo6bo2bo$4b4o6b4o$2b2o4bo4bo4b2o$3bo2b2o6b2o2bo$3b
obo10bobo$2b2obo10bob2o$o3bo12bo3bo$2o18b2o3$2o18b2o$o3bo12bo3bo$2b2o
bo10bob2o$3bobo10bobo$3bo2b2o6b2o2bo$2b2o4bo4bo4b2o$4b4o6b4o$4bo2bo6b
o2bo$9bo2bo$8b2o2b2o!

[hibiscus]

While I'm here, have a p7:

Code: Select all

x = 15, y = 15, rule = B3/S23-a5
4b2obob2o$4b2obob2o$3bo3bo3bo$2bobo5bobo$2obo7bob2o$2o11b2o2$3o9b3o2$
2o11b2o$2obo7bob2o$2bobo5bobo$3bo3bo3bo$4b2obob2o$4b2obob2o!

[ThePlayzr]

Smaller p7.

Code: Select all

 x = 1, y = 2, rule = b3s23-a5
5b2o$6bo$5bo$4bob3o$bo2bobo2bo$obobo3bobo$b2obo4bo$5b4o2$5b2o$5bobo$6bo

[Resu]

Look, negative spaceships!

Code: Select all

x = 52, y = 52, rule = B3/S23-a5:T52,52
$52o2$52o2$52o$32bo2bo5bo2bo2bo$32ob2ob6ob2ob2ob3o$32bo2bo6bo2bo2bo$52o
2$52o2$52o2$52o2$52o2$52o2$52o2$25o2b3o2b3o2b3o2b10o$26b2o3b2o3b2o3b2o
2bo$23o3bo4bo4bo4bo5b5o$26b2o3b2o3b2o3b2o3bo$25o2b3o2b3o2b3o2b10o2$52o
2$52o2$52o2$23o2b3o2b3o2b3o2b3o2b7o$24b2o3b2o3b2o3b2o3b2o$23o3b2o3b2o
3b2o3b2o3b6o$47bo$21o27b4o$48bo$21o27b4o$47bo$23o3b2o3b2o3b2o3b2o3b6o
$24b2o3b2o3b2o3b2o3b2o$23o2b3o2b3o2b3o2b3o2b7o2$52o2$52o2$52o!

New agar:

Code: Select all

x = 16, y = 16, rule = B3/S23-a5
b2ob2ob2ob2ob2o$ob2ob2o2b2ob2obo$2ob2ob4ob2ob2o$b2ob2ob2ob2ob2o$ob2ob
2o2b2ob2obo$2ob2ob4ob2ob2o$b2ob2ob2ob2ob2o$ob2ob2o2b2ob2obo$ob2ob2o2b
2ob2obo$b2ob2ob2ob2ob2o$2ob2ob4ob2ob2o$ob2ob2o2b2ob2obo$b2ob2ob2ob2ob
2o$2ob2ob4ob2ob2o$ob2ob2o2b2ob2obo$b2ob2ob2ob2ob2o!

One-time Glider-to-T:

Code: Select all

x = 8, y = 20, rule = B3/S23-a5
5b2o$4bo2bo$5b2o5$3o$2bo$bo8$3b2o$2bo2bo$3b2o!

This agar works:

Code: Select all

x = 32, y = 32, rule = B3/S23-a5:T32,32
bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3b
o$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3b
o3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo
3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3b
o3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo$2bo3bo3b
o3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo$o3b
o3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo
$bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo
3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo
3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3b
o3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo$2bo3bo3bo3bo3bo3bo3bo3bo$3bo3bo3bo3b
o3bo3bo3bo3bo!

Not an agar, but cool:

Code: Select all

x = 36, y = 36, rule = B3/S23-a5:T36,36
6b6o6b6o6b6o$b4obo4bob4obo4bob4obo4bo$bo2bobob2obobo2bobob2obobo2bobo
b2obo$bo2bobob2obobo2bobob2obobo2bobob2obo$b4obo4bob4obo4bob4obo4bo$6b
6o6b6o6b6o$6o6b6o6b6o$o4bob4obo4bob4obo4bob4o$ob2obobo2bobob2obobo2bo
bob2obobo2bo$ob2obobo2bobob2obobo2bobob2obobo2bo$o4bob4obo4bob4obo4bo
b4o$6o6b6o6b6o$6b6o6b6o6b6o$b4obo4bob4obo4bob4obo4bo$bo2bobob2obobo2b
obob2obobo2bobob2obo$bo2bobob2obobo2bobob2obobo2bobob2obo$b4obo4bob4o
bo4bob4obo4bo$6b6o6b6o6b6o$6o6b6o6b6o$o4bob4obo4bob4obo4bob4o$ob2obob
o2bobob2obobo2bobob2obobo2bo$ob2obobo2bobob2obobo2bobob2obobo2bo$o4bo
b4obo4bob4obo4bob4o$6o6b6o6b6o$6b6o6b6o6b6o$b4obo4bob4obo4bob4obo4bo$
bo2bobob2obobo2bobob2obobo2bobob2obo$bo2bobob2obobo2bobob2obobo2bobob
2obo$b4obo4bob4obo4bob4obo4bo$6b6o6b6o6b6o$6o6b6o6b6o$o4bob4obo4bob4o
bo4bob4o$ob2obobo2bobob2obobo2bobob2obobo2bo$ob2obobo2bobob2obobo2bob
ob2obobo2bo$o4bob4obo4bob4obo4bob4o$6o6b6o6b6o!

Squaredance works too!

Code: Select all

x = 40, y = 40, rule = B3/S23:T40,40
2o6b2o6b2o6b2o6b2o$4b2o6b2o6b2o6b2o6b2o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4b
o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$4b2o6b2o6b2o6b2o6b2o$2o6b2o6b2o6b2o6b
2o$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$2o6b
2o6b2o6b2o6b2o$4b2o6b2o6b2o6b2o6b2o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$2b
o4bo2bo4bo2bo4bo2bo4bo2bo4bo$4b2o6b2o6b2o6b2o6b2o$2o6b2o6b2o6b2o6b2o$
3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$2o6b2o6b
2o6b2o6b2o$4b2o6b2o6b2o6b2o6b2o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$2bo4bo
2bo4bo2bo4bo2bo4bo2bo4bo$4b2o6b2o6b2o6b2o6b2o$2o6b2o6b2o6b2o6b2o$3bo2b
o4bo2bo4bo2bo4bo2bo4bo2bo$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$2o6b2o6b2o6b
2o6b2o$4b2o6b2o6b2o6b2o6b2o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$2bo4bo2bo4b
o2bo4bo2bo4bo2bo4bo$4b2o6b2o6b2o6b2o6b2o$2o6b2o6b2o6b2o6b2o$3bo2bo4bo
2bo4bo2bo4bo2bo4bo2bo$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$2o6b2o6b2o6b2o6b
2o$4b2o6b2o6b2o6b2o6b2o$2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo$2bo4bo2bo4bo2b
o4bo2bo4bo2bo4bo$4b2o6b2o6b2o6b2o6b2o$2o6b2o6b2o6b2o6b2o$3bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo!

Reaction, could be useful:

Code: Select all

x = 6, y = 6, rule = B3/S23-a5:T32,32
3bo$2bo$ob3o$b3obo$3bo$2bo!

and an eater can be made with two Ts,

How?

[ThePlayzr]

an eater is produced by this right-angle collision.

Code: Select all

 x = 5, y = 3, rule = b3s23-a5
o$b2o$o3$4b3o$5bo!

[mmmmmmmmm]

Odd period oscillator collection. The 'line' of oscillators are consecutive odd periods, the disconnected oscillator is p25.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5 
bo$obo$bo4$bob2o$b2o2bo$4bobo$b4obo$o4bo$2o4$b2o4b2o$ob2o2b2obo$2obo2bob2o$b2ob2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$2obo2bob2o$ob2o2b2obo$b2o4b2o4$5b2o$6bo$5bo$4bob3o$bo2bobo2bo$obobo3bobo$b2obo4bo$5b4o2$5b2o$5bobo$6bo20$3bo4bo$2b2o4b2o$bobo4bobo$3o6b3o5$3o6b3o$bobo4bobo$2b2o4b2o$3bo4bo!

[hotcrystal0]

Odd period oscillator collection. The 'line' of oscillators are consecutive odd periods, the disconnected oscillator is p25.

Code: Select all

 x = 0, y = 0, rule = b3s23-a5 
bo$obo$bo4$bob2o$b2o2bo$4bobo$b4obo$o4bo$2o4$b2o4b2o$ob2o2b2obo$2obo2bob2o$b2ob2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$2obo2bob2o$ob2o2b2obo$b2o4b2o4$5b2o$6bo$5bo$4bob3o$bo2bobo2bo$obobo3bobo$b2obo4bo$5b4o2$5b2o$5bobo$6bo20$3bo4bo$2b2o4b2o$bobo4bobo$3o6b3o5$3o6b3o$bobo4bobo$2b2o4b2o$3bo4bo!

This P9 from Life works:

Code: Select all

x = 14, y = 10, rule = B3/S23-a5
b2ob2o$2bobobob2o$bo2bobobo$ob2o2bobobo$o9b3o$b3o9bo$3bobobo2b2obo$5b
obobo2bo$4b2obobobo$8b2ob2o!

[ThePlayzr]

List of smallest known oscillators v0.71:

Code: Select all

x = 0, y = 0, rule = b3s23-a5
bo$obo26b3o$bo4$7b2o$7bo$5bobo19b8o$5b2o20b8o$2b2o23b8o$bobo23b8o$bo$2o4$10b2o$8bo2bo$8bobo18b3o$29b2o2bo$6bobo19bobobobo$29bo2b2o$4bobo24b3o2$b2obo2$obo$2o4$5b2o$6bo22bo$5bo23b2o2b2o$4bob3o22bobo$bo2bobo2bo20bobo$obobo3bobo18bobo$b2obo4bo18b2o2b2o$5b4o24bo2$5b2o$5bobo$6bo4$b2ob2o$2bobobob2o21bo$bo2bobobo20b3o$ob2o2bobobo20bo$o9b3o14bo$b3o9bo13bo5b3o$3bobobo2b2obo12b3o5bo$5bobobo2bo21bo$4b2obobobo18bo$8b2ob2o17b3o$30bo4$6b2o$7bo22bo$6b3o19b2ob2o$13b2o13bo3bo$4b7o2bo15bobo$3bo7bobo14bo3bo$2bo2b2o3b2ob2o9b2obo5bob2o$bob2o4bo3bo10bobo7bobo$bo3bo4b2obo9bo13bo$2ob2o3b2o2bo11bobo7bobo$bobo7bo12b2obo5bob2o$bo2b7o17bo3bo$2o27bobo$6b3o19bo3bo$7bo20b2ob2o$7b2o21bo5$4b2o7b2o$4bo3bobo3bo$3b6ob6o$2bo13bo$3o2b9o2b3o$obobo9bobobo$2bobo9bobo$2bobo9bobo$b2obo9bob2o7b12o$4bo9bo10b12o$b2obo9bob2o$2bobo9bobo$2bobo9bobo$obobo9bobobo$3o2b9o2b3o$2bo13bo$3b6ob6o$4bo3bobo3bo$4b2o7b2o5$9bo4bo$8bo6bo$7bobo4bobo$6bobob4obobo$9bob2obo$9b2o2b2o$9b2o2b2o$9bob2obo$6bobob4obobo$7bobo4bobo$8bo6bo$9bo4bo2$8b2o24b2o$8b2o20bobo2bo$2b2o2b2o2b2o2b2o13b2ob3o$2bo3bo4bo3bo12b2o$4b3o4b3o17b2o$4bo8bo14b2obobo$2b3o8b3o13bo2bo$2bo12bo11bobo$2o14b2o9b2o$2o14b2o$2bo12bo$2b3o8b3o$4bo8bo$4b3o4b3o$2bo3bo4bo3bo$2b2o2b2o2b2o2b2o$8b2o$8b2o5$obobo5$29b3o$29bo2bo$30b3o$30b2o$30b2o5$obobo5$28b2o$27bobo2b2o$27b2obob3o$29bo2b2o2$28b3o$28b3o$29bo10$6bo4bo$5b2o4b2o$4bobo4bobo$3b3o6b3o5$3b3o6b3o$4bobo4bobo$5b2o4b2o$6bo4bo8$obobo18$15b28o$15b28o20$33b2o$32bobo$31bob2o$26b2obo$26bobo$26b2o5$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo3$obobo5$20b3o$20bo2bo$21b3o$21b2o$21b2o4$15b2o$15bo4bo$16b4obo$19bobo$16b2o2bo$16bob2o15$15b20o$15b20o!
[[ GPS 20 ]]

Even though we have a collection on catagolue, I am still going to update to save other people work.
An oscillator on the first column has an odd period. An oscillator on the second column has an even period. '...' means there is a row between the previous oscillator and the next oscillator. So 2 '...'s means there are 2 rows between the previous oscillator and the next oscillator. This does not include the 28+7n, 30+6n, and 40+20n T loops, as they are too large to fit into this list.
Credits:
p1: ThePlayzr
p2: Resu
p3: PK22
p4: mmmmmmmmmm
p5: Resu
p6: ThePlayzr
p7: ThePlayzr
p8: ThePlayzr
p9: hotcrystal0
p10: Resu
p11: Resu & ThePlayzr
p12: Resu
p13: LuveelVoom
p14: mmmmmmmmmm
p15: PK22
p16: LuveelVoom
p20: ThePlayzr
p24: LuveelVoom
p25: Resu
p30: ec1263f3
p32: Resu
p60: ThePlayzr
p62: ec1263f3
Smallest period with no oscillator:
p19
No longer updated, see first post for a collection.

[Resu]

new list of smallest known oscillators:

Code: Select all

  x = 0, y = 0, rule = b3s23-a5 
bo$obo$bo4$bob2o$b2o2bo$4bobo$b4obo$o4bo$2o4$b2o4b2o$ob2o2b2obo$2obo2bob2o$b2ob2ob2o$3bo2bo$3bo2bo$b2ob2ob2o$2obo2bob2o$ob2o2b2obo$b2o4b2o4$5b2o$6bo$5bo$4bob3o$bo2bobo2bo$obobo3bobo$b2obo4bo$5b4o2$5b2o$5bobo$6bo4$b2ob2o$2bobobob2o$bo2bobobo$ob2o2bobobo$o9b3o$b3o9bo$3bobobo2b2obo$5bobobo2bo$4b2obobobo$8b2ob2o20$3bo4bo$2b2o4b2o$bobo4bobo$3o6b3o5$3o6b3o$bobo4bobo$2b2o4b2o$3bo4bo!
[[ AUTOSTART GPS 20 ]]

Credits (for discovering it is compatible to this rule)
p1: ThePlayzr
p2: Remu
p3: ThePlayzr
p5: Remu
p7: ThePlayzr
p9: hotcrystal0
p25: Remu
all other even periods: mmmmmmmmm
I will update the list with new oscillators until it is not on the most recent page.

For P2, it's the blinker.

PK22 ran ikpx2 on this rule : catagolue.hatsya.com/census/b3s23-a5/ikpx2_stdin

A tubstrecher got found by PK22:

Code: Select all

x = 0, y = 0, rule = B3/S23-a5
b2o$2o$2bo2bo$4bobo$4bob2o$6b2o$7bo$7b2o$8bo$8bobo$11bo$11bo$11b2o
$13bob2o$13bo$16bo$16bo$15b4o2$17bob3o$20b3o$22b3o$22b3o$22bo$22bo
bo$24bobo$23bo$26b3o$26b4o$28bobo$32b2o$31bo2b2o$31bo4bo$32bo2bo$
32bob2o$33bo3b3o$36bobo2b3o$36b2o3bobo$36bo2bo$40b2obo2bo$37b2ob2o
2bobo$37bo6bobo$37b2obo3b3o$41b3o2b2o2bo$43bo3bobobo$40b5o2bo2bobo
$44b5obobo$47bo2bo$45bo4bo$44bob4o5bo$45bo6b2ob2o$46b2o3bobo5bo$
51b2obob3o$53bo7bo$50b2o7bo$51bobo7b2o$53bo8bo$53bo$52bo2bo8b2o$
63b2ob2o$54bobo7bob2o$56b2o6b4o$60bo3b3o$59b5obo2bo$59bo2b3o2bo$
60b4o4bo$60b3o2bo$64bobo!

This P9 from Life works:

Code: Select all

x = 14, y = 10, rule = B3/S23-a5
b2ob2o$2bobobob2o$bo2bobobo$ob2o2bobobo$o9b3o$b3o9bo$3bobobo2b2obo$5b
obobo2bo$4b2obobobo$8b2ob2o!

How did you find it?

Another p5:

Code: Select all

x = 12, y = 12, rule = B3/S23-a5
10b2o$8bo2bo$8bobo2$6bobo2$4bobo2$b2obo2$obo$2o!

Cool p8:

Code: Select all

x = 15, y = 15, rule = B3/S23-a5
4b2o3b2o$4b3ob3o$3bo2bobo2bo$2bob2o3b2obo$2obo7bob2o$2obo7bob2o$b2o9b
2o2$b2o9b2o$2obo7bob2o$2obo7bob2o$2bob2o3b2obo$3bo2bobo2bo$4b3ob3o$4b
2o3b2o!

P7 sparker?

Code: Select all

x = 22, y = 13, rule = B3/S23-a5
5bo$5bo7bo$10bo2b3o3b2o$3bo3bo2b3o3bo2bo$b3obob3o4b2obobo$o4bo4b4obobo
2b2o$2ob2ob3o8b2obo$4bobo3b2obobo4bo$4bobobo4b2obobob2o$3b2obob4o6bobo
$7bo4b6o2bo$9bo2bo2bo4b2o$8b2o!

Another P3.

Code: Select all

x = 12, y = 4, rule = B3/S23-a5
bo8bo$ob3o2b3obo$bo2bo2bo2bo$4bo2bo!

Checked Oscillator stamp collection, found this:
P11!

Code: Select all

x = 15, y = 14, rule = B3/S23-a5
4bo2bo2bo$4b7o$13b2o$4b7o2bo$3bo7bobo$2bo2b2o3b2ob2o$bob2o4bo3bo$bo3bo
4b2obo$2ob2o3b2o2bo$bobo7bo$bo2b7o$2o$4b7o$4bo2bo2bo!

[ThePlayzr]

Checked Oscillator stamp collection, found this:
P11!

Code: Select all

x = 15, y = 14, rule = B3/S23-a5
4bo2bo2bo$4b7o$13b2o$4b7o2bo$3bo7bobo$2bo2b2o3b2ob2o$bob2o4bo3bo$bo3bo
4b2obo$2ob2o3b2o2bo$bobo7bo$bo2b7o$2o$4b7o$4bo2bo2bo!

Reduced:

Code: Select all

 x = 15, y = 14, rule = B3/S23-a5
6b2o$7bo$6b3o$13b2o$4b7o2bo$3bo7bobo$2bo2b2o3b2ob2o$bob2o4bo3bo$bo3bo
4b2obo$2ob2o3b2o2bo$bobo7bo$bo2b7o$2o$6b3o$7bo$7b2o!

edit: pre-fleet

Code: Select all

 x = 0, y = 0, rule = b3s23-a5
2bo$b3o$3o$bo

[PK22]

find spaceships of 5 unique speeds

I found 4 unique speeds using ikpx2, but I cannot find any more - I've tried c/5d, c/5o, (2,1)c/6, 2c/5o, c/6d, etc.
c/2o (I found over 1000 spaceships, since there are a range of tagalongs):

Code: Select all

x = 134, y = 15, rule = B3/S23-a5
b3o13b4o13b4o3b4o7b3o5b3o8b3o7b3o14b3ob3o16b4o5b4o$2ob2o11b2obo15bob2o
b2obo9bo7bo8b2ob2o5b2ob2o14bo3bo18bob2o3b2obo$2ob2o11b2o19b2ob2o13b2ob
2o10b2obob2ob2obob2o11b2o7b2o17b2o3b2o$18bo17bo5bo9bo3bobo3bo13bobo17b
o3bobo3bo16bo7bo$53b2obobob2o12bobobobo17b2o3b2o$38b3o11bobobobobobo
13bobo16b2obobobobob2o17bo3bo$38bobo12bobo3bobo36bobobobo20b2ob2o$52b
2ob2ob2ob2o35bobobobo17b3obobob3o$98bobobobo16b2obo5bob2o$52b3ob3ob3o
34b2obobob2o15b2obo5bob2o$100bobo21bo5bo$99b2ob2o19bo7bo$100bobo$99b2o
b2o$99bo3bo!

c/3o (I was unable to find any shorter spaceships, for some unknown reason):

Code: Select all

x = 65, y = 58, rule = B3/S23-a5
4b2ob3ob2o14b2ob3ob2o17b2ob3ob2o$2b2obo5bob2o10b2obo5bob2o13b2obo5bob
2o$5bobobobo16bobobobo19bobobobo$bobobo2bo2bobobo8bobobo2bo2bobobo11bo
bobo2bo2bobobo$2bo5bo5bo10bo5bo5bo13bo5bo5bo2$4bob2ob2obo14bob2ob2obo
17bob2ob2obo$b3o2bo3bo2b3o8b3o2bo3bo2b3o11b3o2bo3bo2b3o$b2o11b2o8b2o
11b2o11b2o11b2o$4b3o3b3o14b3o3b3o17b3o3b3o$2bob2o5b2obo10bob2o5b2obo
13bob2o5b2obo$2bo11bo10bo11bo13bo11bo$bobo2b2ob2o2bobo8bobo2b2ob2o2bob
o11bobo2b2ob2o2bobo$bo4bo3bo4bo8bo4bo3bo4bo11bo4bo3bo4bo$4bobo3bobo14b
obo3bobo17bobo3bobo$6b2ob2o18b2ob2o21b2ob2o$4b2obobob2o14b2obobob2o17b
2obobob2o$2bobo7bobo10bobo7bobo13bobo7bobo2$3bobo5bobo12bobo5bobo15bob
o5bobo$5b2o3b2o16b2o3b2o19b2o3b2o$6bo3bo18bo3bo21bo3bo$5bobobobo16bobo
bobo19bobobobo$3bobobobobobo12b2o2bobo2b2o15b2o2bobo2b2o$2b2obobobobob
2o10bo4bobo4bo13bo4bobo4bo$2b2obobobobob2o9b2o2bo5bo2b2o11b2o2bo5bo2b
2o$2bob2obobob2obo11bo2bo3bo2bo15bo2bo3bo2bo$5b3ob3o12b2o3bo3bo3b2o11b
2o3bo3bo3b2o$5b2o3b2o13bo11bo13bo11bo$6b5o13bo2b3o3b3o2bo11bo2b3o3b3o
2bo$6bobobo14bobo7bobo13bobo7bobo$5b2obob2o18b3o23b3o$4bo3bo3bo14b2obo
bob2o17b2obobob2o$4bobo3bobo14bobo3bobo17bobo3bobo$4bo3bo3bo13bobo2bo
2bobo15bobo2bo2bobo$4bobo3bobo14b2o5b2o17b2o5b2o$28bo5bo19bo5bo$4b2obo
bob2o15b2o3b2o19b2o3b2o$8bo22bo25bo$4bobo3bobo13b2o2b3o2b2o15b2o2b3o2b
2o$4bo7bo13b3obobob3o15b3obobob3o$26b2o7b2o15b2o7b2o$6b5o16b9o17b9o$3b
o2bobobo2bo13bob5obo17bob5obo$2b2obo5bob2o13b2o3b2o19b2o3b2o$b2o11b2o
11bo7bo17bo7bo$2bo11bo11b2o7b2o15b2o7b2o$o2bo9bo2bo9b3o5b3o15b3o5b3o$b
o13bo12bo5bo19bo5bo$o2bo9bo2bo12bo3bo21bo3bo$bo13bo13bo3bo21bo3bo$29bo
3bo21bo3bo$29bo3bo21bo3bo2$54bo2bo2bo$54bo2bo2bo$54bo2bo2bo$56bobo!

c/4o:

Code: Select all

x = 46, y = 21, rule = B3/S23-a5
3o7b3o10b3o2b3o8b3o$bo9bo12bo4bo10bo2$26b2o$9bo3bo12b2o10bo3bo$8b3ob3o
9b2o2b2o7b3ob3o$8b2o3b2o9bo4bo7b2o3b2o$11bo14b2o12bo2$25b4o12bo$23bobo
2bobo10b3o$26b2o16bo$22b2o6b2o$25bo2bo12b2ob2o$23b2o4b2o$40b3o$23bo6bo
$22b2o6b2o9bo$23bo6bo11bo$42b2o$43bo!

c/4d (I like the one which appears to be pulling a soup):

Code: Select all

x = 58, y = 30, rule = B3/S23-a5
9bo$9bo$8bobo$11b2o$12b2o$12bo$13bob2o$16bo$15bo$16bobo$15bo2bo$17b2o
25bo$20b3o20b2o$42b4o$41bo3b3o$21b3o16b2o$23b2o14b3o4b2obo$25b2o14b2o
3b2ob2o$26b2o14bob2o2bo3bo$26b2o14bob2obo2bobo$13b2obo11bo17bo6b2o$13b
2o2bo11bo14b2o6bobo$14bobo12b2o14bobo4bo4bo$12b2obobo37bobo$11bobo2b2o
11bo2bo13b2ob2o5b2o$14b4o30bo$13b3ob2o11b2ob2o13b2o$bo18bo11bo3bo14bo$
2bo18bo15bo14bo$3o16b3o13b3o12b3o!

Also, here's a c/4d tubstretcher:

Code: Select all

x = 66, y = 65, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo4bo$13bo6bo$16b4obo$15bo4bo$15bob2o2bo$15bobo2b2ob2o$13bobo
7b2o$14bobobo3bo2bo$15bob2o3b3o$20b2ob2o2b2o$18b2ob2ob2o3bo$18b2ob3o2b
3o$20bo2bo3b2o$24bo3b2o$22bob2obob2o$22bob3o2bo$23bo2b7o$27bob3obo$29b
6o$29bobob2o$30b3obo$31b4o$37bo$37bo$36bobo$39b2o$40b2o$40bo$41bob2o$
44bo$43bo$44bobo$43bo2bo$45b2o$48b3o3$49b3o$51b2o$53b2o$54b2o$54b2o$
56bo$57bo$57b2o2$57bo2bo2$58b2ob2o$60bo3bo$65bo$63b3o!

[ThePlayzr]

Also, here's a c/4d tubstretcher:

Code: Select all

x = 66, y = 65, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo4bo$13bo6bo$16b4obo$15bo4bo$15bob2o2bo$15bobo2b2ob2o$13bobo
7b2o$14bobobo3bo2bo$15bob2o3b3o$20b2ob2o2b2o$18b2ob2ob2o3bo$18b2ob3o2b
3o$20bo2bo3b2o$24bo3b2o$22bob2obob2o$22bob3o2bo$23bo2b7o$27bob3obo$29b
6o$29bobob2o$30b3obo$31b4o$37bo$37bo$36bobo$39b2o$40b2o$40bo$41bob2o$
44bo$43bo$44bobo$43bo2bo$45b2o$48b3o3$49b3o$51b2o$53b2o$54b2o$54b2o$
56bo$57bo$57b2o2$57bo2bo2$58b2ob2o$60bo3bo$65bo$63b3o!

Mostly very useful, but this tubstretcher is known.

[Resu]

c/4d (I like the one which appears to be pulling a soup):

Code: Select all

x = 58, y = 30, rule = B3/S23-a5
9bo$9bo$8bobo$11b2o$12b2o$12bo$13bob2o$16bo$15bo$16bobo$15bo2bo$17b2o
25bo$20b3o20b2o$42b4o$41bo3b3o$21b3o16b2o$23b2o14b3o4b2obo$25b2o14b2o
3b2ob2o$26b2o14bob2o2bo3bo$26b2o14bob2obo2bobo$13b2obo11bo17bo6b2o$13b
2o2bo11bo14b2o6bobo$14bobo12b2o14bobo4bo4bo$12b2obobo37bobo$11bobo2b2o
11bo2bo13b2ob2o5b2o$14b4o30bo$13b3ob2o11b2ob2o13b2o$bo18bo11bo3bo14bo$
2bo18bo15bo14bo$3o16b3o13b3o12b3o!

Also, here's a c/4d tubstretcher:

Code: Select all

x = 66, y = 65, rule = B3/S23-a5
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo4bo$13bo6bo$16b4obo$15bo4bo$15bob2o2bo$15bobo2b2ob2o$13bobo
7b2o$14bobobo3bo2bo$15bob2o3b3o$20b2ob2o2b2o$18b2ob2ob2o3bo$18b2ob3o2b
3o$20bo2bo3b2o$24bo3b2o$22bob2obob2o$22bob3o2bo$23bo2b7o$27bob3obo$29b
6o$29bobob2o$30b3obo$31b4o$37bo$37bo$36bobo$39b2o$40b2o$40bo$41bob2o$
44bo$43bo$44bobo$43bo2bo$45b2o$48b3o3$49b3o$51b2o$53b2o$54b2o$54b2o$
56bo$57bo$57b2o2$57bo2bo2$58b2ob2o$60bo3bo$65bo$63b3o!

It's interesting that all of the c/4d spaceships and the tubstretcher are glider tagalongs.

Mostly very useful, but this tubstretcher is known.

How?

[ThePlayzr]

Mostly very useful, but this tubstretcher is known.

How?

oops nvm

[Resu]

THIS IS YOUR TUBSTRETCHER!!!!!!!!!!!

No:

PK22 ran ikpx2 on this rule : catagolue.hatsya.com/census/b3s23-a5/ikpx2_stdin

A tubstrecher got found by PK22:

Code: Select all

x = 0, y = 0, rule = B3/S23-a5
b2o$2o$2bo2bo$4bobo$4bob2o$6b2o$7bo$7b2o$8bo$8bobo$11bo$11bo$11b2o
$13bob2o$13bo$16bo$16bo$15b4o2$17bob3o$20b3o$22b3o$22b3o$22bo$22bo
bo$24bobo$23bo$26b3o$26b4o$28bobo$32b2o$31bo2b2o$31bo4bo$32bo2bo$
32bob2o$33bo3b3o$36bobo2b3o$36b2o3bobo$36bo2bo$40b2obo2bo$37b2ob2o
2bobo$37bo6bobo$37b2obo3b3o$41b3o2b2o2bo$43bo3bobobo$40b5o2bo2bobo
$44b5obobo$47bo2bo$45bo4bo$44bob4o5bo$45bo6b2ob2o$46b2o3bobo5bo$
51b2obob3o$53bo7bo$50b2o7bo$51bobo7b2o$53bo8bo$53bo$52bo2bo8b2o$
63b2ob2o$54bobo7bob2o$56b2o6b4o$60bo3b3o$59b5obo2bo$59bo2b3o2bo$
60b4o4bo$60b3o2bo$64bobo!

"got found by PK22"

[H. H. P. M. P. Cole]

find spaceships of 5 unique speeds

I found 4 unique speeds using ikpx2, but I cannot find any more - I've tried c/5d, c/5o, (2,1)c/6, 2c/5o, c/6d, etc.
[...]

c/5o, 2c/5o, c/5d:

Code: Select all

x = 86, y = 53, rule = B3/S23-a5
2o2b2ob2o2b2o7b2o2b3o2b2o45b2o3bo$ob2obobob2obo5b2ob3o3b3ob2o43b3ob2o
$5bobo13bobo3bobo46bo5bo$bo3bobo3bo10bo2bo2bo50b2o2bo$5bobo13b2o2bo2b
2o46b3o5b2o$4b2ob2o9b4o7b4o49bobo$2bobo3bobo8bo3b2ob2o3bo42b2o2bo3bo$
2ob3ob3ob2o8bobo3bobo46bo2bobo2bo$bo4bo4bo9bo2bobo2bo43b2o6bo2b2o$4b5o
13bobobobo42b2o5bo2bob3o$2bo7bo9b2o7b2o37bo2bobo5bo$3bo2bo2bo10b4o3b4o
38bo7bobo$2bobobobobo8b2o9b2o37b2o4bobo$5b3o10b3o2b2ob2o2b3o35b3o5bo$
bobo5bobo7b2o3bobo3b2o36bo6b2o$b2o7b2o7b3ob2ob2ob3o34b2o4b2o$2bo7bo12b
2ob2o37bo2bo3b3o$bo9bo10b3ob3o36bobobob2o2bo$2bo7bo9b4o3b4o34bob2obo$
2b2o5b2o9b2o3bo3b2o32bo6bo$2bo7bo9bobo5bobo31b4ob3o$24bobo34bobobo$19b
4o5b4o27b4ob3o$19bob4ob4obo25b3o3bobo$19bobo7bobo25b2ob2ob2o$23b5o29b
o3bobo$21bobo3bobo26b2obo2b2o$20bobo5bobo26b2o2b2o$18b3o9b3o24b6o$22b
o5bo26b2o2bo$20bo9bo16b2o5bobo$18bo2bo3bo3bo2bo15bo3bob2o$19bob2ob3ob
2obo13bobo5bo$18bo3b2o3b2o3bo10b6ob2o2bo$19bo2bo5bo2bo11b3obobo2bo$20b
ob7obo11b2obo3b2obo$19bob2o5b2obo10bo7b2o$19b4o5b4o11bobo6bob2o$39b2o
b3o6b3obo$38b2o12bo$20bo9bo7b3o7bob4o$19b2o9b2o15bo3b2o$20bo9bo16b2ob
3o$19bob2o5b2obo15bob2o$21bo7bo$20bob2o3b2obo14bobo$19b2o3bobo3b2o13b
3o$20b3o5b3o14b2o$19bo3b2ob2o3bo$20bo9bo$23b2ob2o$20b3o5b3o$20b2o7b2o
!