Goldilocks rulespace (see first post for details)

For discussion of other cellular automata.
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AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Goldilocks rulespace (see first post for details)

Post by AforAmpere » January 10th, 2018, 9:28 pm

I figured I'd finally make a thread for all of the rules that I have been finding lately. This rulespace, B2ek3ei4ajr/S02ack3kn4a to B2ekn3-ajny4-i5-iry678/S02-ei3-eijq4-ijrw5-q678 all share these four 3-cell ships:

Code: Select all

x = 23, y = 4, rule = B2ekn3-ajny4-i5-iry678/S02-ei3-eijq4-ijrw5-q678
bo5bo5bo6bobo$obo16bo$6bobo3bo$14bo!
These have speeds C/2, C/3, C/4, and C/5. I call this the Goldilocks rulespace because every rule here supports at least 4 3-cell ships, and many have more, similar to the Goldilocks zone around a star. One of my personal favorite rules,
B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y, has an abundance of other ships, including a 3-cell 4c/22 diagonal:

Code: Select all

x = 2113, y = 228, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
2b3o4bo8b3ob3o9bo3b3ob3o3bo21bo4b3o4b3o3b3o4b3o5b3o6bo7bo7bob3obo7b3o
12b3o2b3o2b3o6bo6bo8bo5bo8bo5bo14bo5b3o14b3ob3o13b2o19b3o2b3o2b3o22bo
16bo5bo7bo4bo7bo5bo6bo4bo8b3ob3o5b3o3b3o6b3o3b3o9bo4bo8b3o6b3o6b3o4b3o
7bo7bo8b3ob3o10bo4bo9b3ob3o8bo3bo8bo3bo5b3o8b3o8bo5bo10bo5bo10b3ob3o
11bo3bo12bo3bo12bo4bo16bo3bo15bo3bo15bo4bo13b3o4b3o10b3o6b3o7b3o6b3o
10bo12bo3bo14bo3bo16bo13b3o7b3o11bo3bo15bo3bo13b3o5b3o16bo15b3ob3o11bo
7bo12bo7bo11bo7bo12b3ob3o10bo9bo12bo16bo7bo11b3ob3o11b3o2b3o12bo7bo16b
o16b3o5b3o10bo7bo16bo14bobo10bo9b3o13bo3b3ob3o3bo6b3o11b3o8bo4bo14bo3b
o17bo17b3o16bo3bo21bo21bo20bo17bo5bo12bo5bo13bobo3bobo14bo3bo19bo23bo
10bo10bo12bo17bo19bo15bo5bo19bo21bo18bo16b2o3b2o16bo18b2o12b2o3b2o9bo
3bo27bob4o24b2o32b2o29b2o38b3o13bo15bo$3bo4bobo7bobobobo8b2o2bobo3bobo
2b2o19bobo4bo6bob3obo5b2o6b2o6bobo5bobo5bob2ob2obo7bo6bo7bo4bo4bo6bobo
4bobo6bobobobobo6bobobobobo12bobo4b2o16b2ob2o7b3o3bo2bo3b3o9b3o4b2ob2o
4b3o18bobo69bobobobo5bobo3bobo6bobo3bobo23bobob4obobo6bobo4bobo6bobo5b
obo7bobobobo9bobo2bobo8bobobobo7bobobobo17bobo8bobo7bobo3bobo8bobo3bob
o9bobobobo10bobobobo10bobobobo10bobo2bobo74bobo4bobo10bobo6bobo7bobo6b
obo23b2ob2o14b2ob2o30bobo7bobo11b2ob2o14bobobobo12bobo5bobo15bobo14bob
obobo51b2o7b2o11bobobobo9b2o9b2o10bobo14bobo5bobo10bobobobo9b3o2b2o2b
3o9bobo5bobo32bobo5bobo9b2o7b2o29bo24bobo11b2o2bobo3bobo2b2o6bobo9bobo
28bobobobo15bobo16bobo63bobo35b2obo3bob2o8b2obo3bob2o10bo9bo12bobobobo
237bobo15b2o2b2o12bobo9b2obobob2o23b2o2bob3o21bo3bo29bo3bo26bo3bo35bo
3bo14bo15bo$bo5b2o10bo3bo9b6o5b6o28bo6bobo9b2o6b2o6b2o6b2o6bo3bo11bo3b
obo25b2o2b2o11bobo12bobo14b2o8b2o4bo7b2o5b2o6bob4o2b4obo10bo2b3ob2ob2o
b3o2bo13b5obob5o9bobo3bobo5bobo2bobo5bobo3bobo4bobo2bobo8bo3bo7bo5bo8b
o5bo9bobo2bobo41bobo5bobo23bobo2bobo9bo3bo9bo3bo7bobobobo5bo10bo8bobo
3bobo8bobo3bobo26bobobobo10bobobobo10bobo2bobo14bobobobo13bobobobo13bo
bo2bobo13bo6bo12bo8bo29bo13b2ob2o14b2ob2o10bo4bobo4bo9bo7bo13b2ob2o14b
obobobo15bo3bo12b3o3bobo3b3o7bo7bo9bo4bo4bo10bo9bo9b3o5b3o10bo7bo8b3o
7b3o10bobo14bobo5bobo9bo7bo9bo8bo10bobo5bobo13bo3bo16bo5bo11b3o5b3o13b
o3bo20bo2bo3bo2bo19b6o5b6o29bo2b2o2bo13b2ob2o14bobobobo11bobo3bobo12bo
bobobo39bobobobo34bo7bo10bo7bo35b2ob2o41bo2bo8bo12bo66bo3bo38bobobobob
o30bo2bobo2bo11b2ob3ob2o12bo4bo9bo2bobo2bo7bobobobo23b2o4bob2o20bobo3b
o27bobo3bo24bobo3bo35bob2o11bo17b2o$bobo3b2obo8bo3bo13b2o5b2o29bob2o
17b2o6b2o5bob2o4bob2o19bob2o2b2o7bobo2bobo2bobo5bob2o2b2obo6bobobobobo
6bobobobobo11b2obo5b2o4bobo7b2o3b2o9bo3b2o3bo12bo3bo9bo3bo11b2ob2ob2ob
2ob2ob2o22bo4bo7bo5bo6bo4bo9bo3bo7bo5bo8bo5bo8bobo4bobo10bo2bo10bobo4b
obo24bobobobo26bo3bo9bo3bo8bo3bo6bo10bo43bobobobo67bo3bo15bo3bo13bobo
4bobo12bo6bo12bo8bo8bobo6bobo11bo10b2o3b2o12b2o3b2o8bobo2b2ob2o2bobo9b
o5bo13b2o3b2o13bobobobo32bobo2bo3bo2bobo27bo5bo14bo5bo12b2o5b2o29b2o7b
2o6bo3bo3bo3bo11bo5bo29bobo4bobo13bo3bo17bobo18bo3bo13b2o5b2o15bobo22b
o7bo11b3o10b2o5b2o14bo5bo12b2o4b2o9b3o7b3o9bo7bo10bo2bobo2bo9bo2bo5bo
2bo14b3ob3o14bo7bo13b3ob3o17bo18bo20bo14b3o7b3o12b3ob3o18bo14bo6bo8bo
2bo5bo2bo5bo2bo5bo2bo7bo2bo5bo2bo8bo7bo12bo2bo5bo2bo9b2ob3ob3ob2o7b4ob
ob4o10bo2bobo2bo9b3o3bo3b3o9bobo2bobo11bobo12b3o23bo2b3o3bobo16bobo3b
2o3bo22bobo3b2o3bo19bobo3b2o3bo31b2o37bo$2b2o5b2o7bobobobo9b2o11b2o28b
o17bob2o4bob2o4b2o6b2o9bobo11bo14b2o5b2o7b2o6b2o9bobo12bobo16b2o4bob2o
2b2o8b2obobob2o9bobo2bobo13bo4bo7bo4bo11b3ob2o5b2ob3o13bobo6bo4bo7bo5b
o6bo4bo8bobobobo5bobo3bobo6bobo3bobo5bo2bo2b2o2bo2bo5bobo4bobo24bo7bo
25bo4bo9bobobobo7bobobobo7bo3bo5bobo8bobo8bo5bo10bo5bo28bo3bo12bo3bo
12bo4bo16bo3bo15bo3bo11bo2bo2b2o2bo2bo9bobo4bobo10bobo6bobo44bo18bo11b
obo9bobo32bo18b3o14b2o7b2o12bobo3bobo71bo5bo31bo7bo6bobo2bo3bo2bobo8bo
9bo31b2o17bo3bo16bo3bo36bo5bo15bo3bo36bobo2bobo7b2o11b2o9bo9bo28b2ob5o
b2o10bobo3bobo10b2o5b2o11b2o5b2o14bo2bo3bo2bo12bobo3bobo11bo2bo3bo2bo
11bo7bo10bo7bo11bobo5bobo10b2ob5ob2o11bo2bo3bo2bo17bo12bob6obo8bo3b3o
3bo7bo3b3o3bo9bo3b3o3bo8b2o3bo3b2o12bo3b3o3bo11bo2bo3bo2bo7bobobo3bobo
bo10b2o3b2o11bo3bobo3bo11b2o2b2o12bobo37bo2bobobo2bobo14bo2bo2b2o2bo2b
o20bo2bo2b2o2bo2bo17bo2bo2b2o2bo2bo33bo31bo2bobo$bo4bobo31bobo54b2o6b
2o6bobo5bobo6bobo9bo5bobo8b2obobob2o9bo4bo8bo3bo3bo6bo3bo3bo4b3o5bo8b
2o2b2obo6b2o5b2o9b2o4b2o15bo4b2ob2o4bo11b3o3b2obobob2o3b3o12bo7bo4bo7b
o2bo2bo6bo4bo23b3o12b3o10bo8bo8b3o2b3o8bo8bo6b3o5b3o9bobo11b3o2b3o22bo
bobobo7bo3bo26b3o3b3o8b3o3b3o11bobo12b3ob3o10b3ob3o10b3o2b3o15bo3bo15b
o3bo13bo8bo50bo10bo58bo2bo3bo2bo8bo2b2o3b2o2bo48bobo2b3o2bobo13bo3bo
14b5o13bobobobo11b2o4bo4b2o9b3o3b3o13b5o11b3o5b3o5bobo3bobo3bobo7b2o3b
obo3b2o10b5o12bo6bo11bo9bo14bobo15bo2b2ob2o2bo10b3o3b3o15bobo38bobo17b
obo17bobobobo13b2o2b2o12bo7bo10bobo5bobo7b2ob2o3b2ob2o9b9o17b2ob2o14bo
bo5bobo13b2ob2o13bobo5bobo8bobo5bobo10bo2bo3bo2bo11bo7bo15b2ob2o20bo
136bobo17bo18bobo16b2ob2o15bo2bo10b3o3b3o34bo2b2o7b5o10bob2o2bo6b3o18b
ob2o2bo6b3o15bob2o2bo6b3o26b3o36b2obo$o6bo9bo2bobo2bo11b2o5b2o50bo7bo
9bo7bo8bo10b4o2bo11b3ob3o8bo8bo6b2o2bo2b2o6b2o2bo2b2o5bo8bo4b2o6b2o8bo
3bo32b2o2bobo5bobo2b2o9bobo3bo2bobo2bo3bobo11bo9b4o8b3ob3o6b2o2b2o7bo
2bobo2bo6bo3bo10bo3bo7bo2bo2b2o2bo2bo5bo2bo2bo2bo7b2o6b2o6b2o7b2o8b2ob
2o11b2o2b2o8bo2bobo2bo18b3o3b3o5b2o6b2o10b2o3b2o10b2o3b2o11b2ob2o12b2o
b2o12b2ob2o12b2o2b2o15b2o3b2o13b2o3b2o10bo2bo2b2o2bo2bo8bo2bo4bo2bo8bo
2bo6bo2bo6b2o8b2o23b5o14b5o30b2o9b2o11b5o11bo3bo3bo3bo12bo3bo14b4o3b4o
7bo11bo11bobo14b5ob5o9bo2bo3bo2bo12bo3bo10bo2bo5bo2bo6bo9bo12b2obob2o
27bo2b3o2b3o2bo12bobo15bo2bobo2bo12b2o7b2o9bo2bo3bo2bo11bo2bobo2bo34bo
bobo13b2o5b2o16bobo13b2obo2bob2o9b11o8bobo3bo3bobo7b3o2bo2b3o32bo2bobo
bobo2bo9bobo3bo3bobo8bo2bobobobo2bo11bo5bo12bo5bo12bo2bo3bo2bo10b11o
10bo2bobobobo2bo14bo14bo3b2o3bo64bo5bo5bo36bo3bo29bo5bobo5bo10bo3bo32b
obo7bob4ob4obo22b2o8b3o14bobo8bo22bobo8bo19bobo8bo25bob2o31bo3bo2bo$o
6bo10b2o3b2o11b3o5b3o49bo7bo9bo7bo8bo9bob2ob2o14bobo13bo2bo40bo3bo6b2o
bo4bo10bo3bo11bobo2bobo13bo2b4o5b4o2bo8bo21bo11bo21bobobo8bo2bo9b2o3b
2o7bo3bo10bo3bo8bob2o4b2obo10b2o77b2o3b2o6bobo3bobo19b2o4b2o116b2o7b2o
9b2o7b2o9bob2o4b2obo10b2o6b2o10b2o8b2o37b3o2b5o2b3o4b3o2b5o2b3o7bob2ob
2obo10b3o5b3o7b3o2b5o2b3o10bo3bo11bobo3b3o3bobo13b3o10b2o3bobobo3b2o6b
o3bobo3bo8bo2b3o3b3o2bo9b2o3b2o12bo2bobo2bo10b2o5b2o11bo3bo11b3o3bobo
3b3o9bobobo13b2o2b2o13b2obobob2o11bo2b2ob2o2bo13b2o3b2o13b2o3b2o12bo2b
2ob2o2bo32bobo15b3o5b3o33bob2obo33bo5bo13bo3bo11b2o9b2o15bobobo16bo5bo
15bobobo13b2o2bobo2b2o8b2o2bobo2b2o10b2o2bobo2b2o35bobobo21b2o10bo8bo
12bobo15bobo17bobo12b2o7b2o15b2ob2o36b2ob2o16bobo16bo3bo16b2o13bo3bo8b
o7bo23b3o6b2ob2o15bo10bo22bo10bo19bo10bo21bo36bo3b3o3bobo$2b3ob2o9bobo
3bobo9b2ob2o3b2ob2o47bobo5bobo7b2o7bo7bobo8bo32bob8obo7bo3bo10bo3bo7bo
bo3b5o5b2o5bo7bobobobo11bo4bo13b3o3b2ob3ob2o3b3o8bo5b4ob4o5bo12b2o32b
2o2b2o7bobo3bobo38b4o10bob2o2b2obo9b2o2b2o11bo3bo9b2o5b2o7bo8bo6bobo3b
obo6b2o3b2o5bobo3bobo3bobo2bo2bo2bobo6bo9bo6bo9bo7b2o5b2o8bo7bo8bo7bo
8bo8bo55b4o13bobo6bobo8bobo8bobo8b2o4b2o20bobo9bobo4bobo9bobo6b4obob4o
10bo3bo3bo8bobo9bobo5bo5b3o5bo8b2ob2ob2ob2o11bo4bo4bo6b2o3b2ob2o3b2o7b
o2bobo2bo9b3ob2o3b2ob3o9b2o3b2o15bobo14bo5bo12b2ob2o12bob3o3b3obo10b2o
b2o9bo2bo6bo2bo9bo7bo11b2o7b2o12b2obobob2o12b2o3b2o12b2o7b2o32bobo14b
2ob2o3b2ob2o13b2ob2o29b2o11b2o9b7o55bo2bobo2bo14b7o13bo2bobo2bo15bobo
16bobo16bo5bo10b2o11b2o10bo2bobo2bo18b2o13b2o2b2o31b2ob2o15b2ob2o13b2o
bob2o17bo3bo17b2ob2o14b2ob2o9bo4bobobobo4bo7bobo3bobo11b2o4b2o11bobo
41bo10bobo15bo7bo3bo21bo7bo3bo18bo7bo3bo19bobobo2bo32b3obo3b2obo$2b2o
31b4obobob4o57bo38b4o45bo3bo10bo3bo7b2o7b2o2bo6bo10bo5bo11bo4bo14bo2bo
3b2ob2o3bo2bo9b2obobo9bobob2o14bo18bobobobo5bobo2bobo20bobobobo8bobobo
bo26bob4obo9b2ob2ob2o7b2o7b2o7b2o3b2o10b2o2b2o22bo2bobo2bo5b2o3b2o5bob
o2b2o2bobo9b2o3b2o10b2o3b2o10b2o3b2o11b2ob2o12b2ob2o12b2o2b2o13bo9bo9b
o9bo71b2o6b2o22bo7bo10bo7bo9b4o3b4o30bo7bo10bo9bo10bo9bo11bo9bo7b2o3bo
bo3b2o7b2obo3bob2o13bo3bo14bobobobo12bo2bobo2bo13b3o36bobo17bo12bo10bo
12bo3bo14b2o5b2o16bobo15bobobobo13b2o5b2o50b4obobob4o14bobo15bob2obo
10bo3bobobo3bo26bo5bo5bo6bo4bo3bo4bo79bobo16bobo16b3ob3o11bo3bobobo3bo
37b2obo2bo45b3ob3o13b3ob3o9bob9obo15bobo18b2ob2o30bob2obobob2obo8bobob
obobobo8bo4b2o4bo5bo3bobo3bo38bo10b2o13bo10bo2bo19bo10bo2bo16bo10bo2bo
19bobo36b3o6b3o$ob3obo13bobo14bobo3bobo148bobo12bobo10bo2bo8bo2bo2b5o
24bo4bo15b2o13b2o9b2o2bo13bo2b2o10bo22b2ob2o8b4o11bobo8bo5bo8bo5bo9b2o
4b2o10bo4bo13b2o10bo9bo9bobo13bo2bo12bobo23b2ob2o7b3ob2ob3o11bo3bo12bo
3bo13bobo14bobo14bobo14bo2bo13bo2bo5bo2bo7bo2bo5bo2bo10b2o4b2o14bo4bo
14bo6bo9bo10bo24bobo16bobo14b2o3b2o14b2ob2o16bobo13b2o2bobo2b2o12bobob
obo16bo3bo13bo5bo11bo7bo11b2o2bobo2b2o10bo7bo10bo3bobo3bo12bobo15bobo
15b2o5b2o27bob3o2b3obo10bo2bobo2bo11bo9bo12bob2ob2obo11bo7bo11bo9bo51b
obo3bobo14bobobobo14bo2bo12b2o7b2o7b3o2bo3bo2b3o9bo3bo11bob2ob3ob2obo
11bo4b3o4bo8b3o2bo3bo2b3o7bo4b3o4bo9b2obo3bob2o8b2obo3bob2o9b2o2bo3bo
2b2o9b2o7b2o10bo4b3o4bo67bobobobo13bobobobo11bo2bobo2bo38bo3bo11b3o5b
3o8b2ob2o3b2ob2o8bobo5bobo13b2o10b3o5b3o46bo17bo10b2o21bo10b2o18bo10b
2o18bo2bobo29bo4b2ob3o2bo3bo$2o3bo13b2ob2o154b4o12bobo12bobo10b8o4bobo
6b2o5bo7bo31b2o2b2o5b2o2b2o11b2o3b4ob4o3b2o62b2ob2o39bo4bo9bobo4bobo7b
o8bo25bo3bo27b2ob2o9b2ob2o9bobo6b2o10b2o43bo3bo64b2obo5bob2o7b2obo5bob
2o11b2o2b2o15b2o2b2o14b2o4b2o10bo8bo21bo9bo8bo9bo9bo7bo13bo3bo12bo9bo
11bobobobo12bo2bo3bo2bo12bo7bo11b2o3b2o10bobo5bobo13bo3bo13b3o3b3o10bo
3bobo3bo29b2ob2o14bob2ob2obo13b2o16bo2bo16bo3bo13bo3b3o3bo13b3ob3o12b
3o3b3o11bo3b3o3bo73bobo3bobo11bo6bo28bo13bo4bobo9bobo6b2ob3ob3ob2o10bo
bo2b2ob2o2bobo7bo13bo6bobo2b2ob2o2bobo7b3obo3bob3o6b3obo3bob3o8bo4bobo
4bo29bobo2b2ob2o2bobo66bo5bo13bo5bo9bo3b2ob2o3bo15bobo17bo5bo9bob2o5b
2obo8b3o5b3o8bob2obobob2obo7b3o6b3o7bo5bo10bobo23bo2bo5b2o2bo2bo13b2o
6bobo2bo20b2o6bobo2bo17b2o6bobo2bo19b2o31b2o9bob4o$2bo2bo3b3o7b2ob2o
14bo5bo148bo3bo10bo3bo21bobo2bo11bo5bo36bo7bo16bo3bob2ob2obo3bo63b2ob
2o8b2ob2o7bobo5bobo9bo2bo11bo2b2o2bo10bo4bo8bobo5bobo6bobo3bobo8bobo2b
obo9b2ob2o9b2ob2o8bo3bo9bo4bo11bobo3bobo8bobo3bobo10bo3bo11bobobobo10b
obobobo10bobo2bobo13b2o5b2o11b3o3b3o15b2o17bo4bo14bo6bo10bo8bo22b4ob4o
10b4ob4o10b3o3b3o13bo3bo13b4ob4o10b2o7b2o8b2ob2o5b2ob2o10bo7bo10b2obob
ob2o10bo7bo11bob3ob3obo8bob2o5b2obo7b2o9b2o9b2o3b2o12bo3bo11bo2b2o5b2o
2bo10bo13bo10bo13bobo16bobobobo16bo3bo14b2o3b2o14bobobobo54bo5bo13bobo
5bobo9bo8bo29bo9bo7bo11bo8b4o3b4o12bo11bo10bo9bo9bo11bo13bobo16bobo18b
obo35bo11bo66bo2bobo2bo11bo2bobo2bo10b2o5b2o14b3o3b3o14bo5bo11bo7bo10b
2o7b2o9bobobobobobo8bo2bo4bo2bo8bo3bo9b3ob3o21bo6bob2ob2obo14bo5b2ob2o
bo21bo5b2ob2obo9b2o2bobo2bo5b2ob2obo17bo3bo39b2obo$2b7obo197b2ob2o23b
8o7b2o3b2o35bo3b3o3bo14b2o2bobobobobobo2b2o64bo9bobobobo26bo2bo11bob4o
bo8bo3b2o3bo7bo7bo8bo5bo10bo4bo37b2ob2o9bob2obo12bo5bo10bo5bo10bobobob
o11bo3bo12bo3bo12bo4bo14bobo3bobo11b2o5b2o14bo2bo15b2o4b2o10bob2o6b2ob
o6bobo6bobo58bo2bo3bo2bo51b3ob3o11bo2b2o3b2o2bo14bobo14bo5bo11b2o5b2o
11bo2bo3bo2bo9b2obo3bob2o7bo4bo3bo4bo26b2o3b2o12bo9bo12b2obobo9b2obo2b
ob2o57bobo16bo3bo94bob3o5b3obo7b2obo2bob2o8b3obo3bob3o8bo9bo7bobo7bobo
9b2o5b2o13bobo7bobo10bo9bo9bobo7bobo8bo2bo5bo2bo6bo2bo5bo2bo8bobo2bobo
2bobo8b3obo3bob3o9bobo7bobo67b2o3b2o13b2o3b2o10bo2bo3bo2bo14bo5bo15bob
obobo9bo3bo3bo3bo28bo9bo12b4o10bo7bo8bo3bo20b3o4bo2b2obob3o7bo2bobo4bo
4bo18bo2bobo4bo4bo15b3o2bo4bo4bo25bo33bo2bo5bobo$6bobo12bo188bo13b4o
63bo5bobo5bo11bo4bobo5bobo4bo121bo6bo9bobo2bobo7bobo2bo2bobo5bob2o3b2o
bo7bobo2bobo11bo23b2o3b2o7bobo2bobo10bobo3bobo8bobo3bobo9b2o3b2o10bobo
bobo10bobobobo10bobo2bobo14bo5bo11bo9bo13bo2bo17bo2bo12bo3bo4bo3bo7b2o
6b2o61b3ob3o14bo3bo36b3o17bo3bo14bo9bo11b5o11b2o2bobo2b2o11b2o5b2o8bo
13bo11bobo15bo3bo34bo3bo12b3obo2b2o8bobobo2bobobo12b2ob2o15bo5bo17bobo
17bobo16bo5bo53b3o3b3o9b3o11b3o8b2o2b2o10b2o2bo3bo2b2o8b2o7b2o9bo7bo9b
o3bo3bo3bo34b2o7b2o31b3o5b3o8b3o5b3o10bo2bo3bo2bo9b2o2bo3bo2b2o91bobo
17bobo10b2o2bob3obo2b2o50bo11bo6bobo9bobo6bo2bo5bo2bo10bob2obo10bo5bo
7bobo3bobo31b2obo6b2ob2o6b4o5bo7b2o4bo2b2o6b4o5bo10bobo4bo3b4o5bo18bo
35b3o3bob2o$252bo3bo34bo2bo7bo2bo13b2obobo5bobob2o126b2o12bo6bo23bo9bo
9bo2bo26b3o8bo5bo6b3o4b3o11bo3bo12bo3bo28bo5bo10bo5bo12bo2bo18bobo11bo
3b2o3b2o3bo10bo4bo15b2o2b2o12bobo6bobo42bobobo13b2o3b2o10b2obo3bob2o
11bobobobo12bo7bo15bo17b2o3b2o13b2o2bobo2b2o11bo3bo11bo3bobo3bo51b2o5b
2o30bobobo15b2o3b2o14bobo12bo8bo13bo3bo15bobobobo16b2ob2o15bo3bo15bobo
bobo53bobo3bobo9b2o2bobo3bobo2b2o27bobobobo30bo9bo12bo3bo15bobo7bobo
30bobo7bobo11bo5bo12bo5bo10b2ob3o3b3ob2o10bobobobo12bobo7bobo68bo3bo
15bo3bo9b2o2bobobobo2b2o13bo3bo16bo5bo13bo3bo11bob3o3b3obo7bo11bo40b3o
3b3o18bo22bo17b2o10bo21b2o29b2o19bob2o34b2obo$4bo233b4o11bobo37b2obo3b
ob2o13bo3bo11bo3bo156bo3bo7bo11bo5b2ob4ob2o5b3o2bo2b3o19bo3bo7bob2o2b
2obo43bo7bo60b3o11b3o4bobobobobobobobo8b3o4b3o13bo4bo11b2o3bo2bo3b2o9b
o4bo27bobo17bo14bobo3bobo12bobobobo11bo2bo3bo2bo10bobo3bobo12bo7bo15bo
3bo14bobobo15bobo34bo9bo11bo5bo12bobobobo10bob2ob2obo32bobobo11b2o2bo
2bo2b2o13bobo15bobo3bobo15b2ob2o15bo3bo14bobo3bobo95b2o2b2o31bo9bo31bo
3bo17bo7bo12bo9bo11bo7bo9bo13bo4bo13bo6bo13bo31bo7bo87bo9bo12bobo16b2o
7b2o10bo2bo5bo2bo7bo2bo3bo2bo13bobo15b3ob3o13b2o2b2o11bo3bo10bo3bo17bo
2bo4b3o7bo12bo4bo7bobo7bo3bo2bo3bo4bo7bobo7bobo3bo5b2o7bobo54b3o2bo$
253bobo40bo3bo18b2o4bo3bo4b2o156bo7bo5b2o9b2o5b2o6b2o5bobo2bo2bobo6bo
3bo8b2ob2o9bo4bo12b2o3b2o10b2o3b2o8b2o7b2o6bobo5bobo6bobo5bobo7bo2b4o
2bo8bobob3o3b3obobo5b2o3bobo3b2o9bobo4bobo13bo4bo12b2o2bo2bo2b2o10b2o
2b2o27bobo16bobo14bobobobo15bobo13bo9bo9b2o2b3o2b2o11bobo3bobo13b2obob
ob2o47b3o9b3o9b3ob3o10bob2o5b2obo10bo3bo11b3o3b3o12bo7bo11bobo36b2o3b
2o12bo9bo12b3o3b3o11bobo3bobo11bo9bo93b3o2b3o10bo9bo9bo9bo7bobo7bobo8b
o9bo12bobo7bobo10bo9bo9bobo7bobo7b2o11b2o4b2o11b2o29bo9bo10bobo7bobo
106b7o14bobo5bobo10bobo7bobo10bo3bo11bo2b2o3b2o2bo12bobo14b3o2b3o6b2ob
2o3b2ob2o6bo3bo15b2o3bo4bo7b2o7b2o4bo23b2obo6bo25b3o8bo63b5o$4bo248bob
o37b2obo3bob2o203bo9bo8bo4bo11bobo9bo2bo2bo5bo7bo5b3o4b3o10bo5bo10bo5b
o10bo5bo8b2o7b2o6b2o7b2o11b2o19bobo56bo2b2o2bo12b3o4b3o10bo6bo26bobo
34b2ob2o12bo2b2ob2o2bo9bob2o3b2obo7bob2o7b2obo9bobo3bobo34b5o13b2o3b2o
11bobo7bobo28bo9bo9b2o5b2o12bobo14b3o5b3o12b3o11b2o8b2o10bobo3bobo9b2o
3bo3bo3b2o11bo5bo13bobobobo10b2o3bo3bo3b2o92bo4bo12bo7bo10bo2bo3bo2bo
28b2o7b2o13b2o7b2o10b2o9b2o9b2o7b2o9b2obo5bob2o6b2obo5bob2o10b2o5b2o
12bo7bo12b2o7b2o86bo9bo10bo5bo56bobo3bobo9b3o7b3o9bobo3bobo26b2o7b2o6b
o5bo17b6obo16bo4bob2o2bo7b2o8bobob2o4bob2o2bo7b2o10bobo16b2o52b4obo4b
2o$318b4ob3o3b3ob4o188b3o2b3o10bobo9b2o3b2o5b2obobob2o25b2o3b2o10b2o3b
2o10bo2bo2bo10bo2bo2bo10bo2bo2bo8bobo2b2o2bobo11bo7bo9bo11bo12b4o15bo
6bo11bob3o2b3obo9bo6bo45bobo15b2ob2o15bobobo10bobo9bobo5b3ob3ob3ob3o
12bobo19bobo14b2obob2o13b2ob2o12b2obo5bob2o10bobobobo10bobo3bo3bobo8b
2o2bo2b2o11b2ob2o13bobo5bobo12bo15b2o4b2o15bobo13bo11bo10b2obo3bob2o
10b2o5b2o10bo11bo91b2o6b2o30b3o3b3o7bob2o7b2obo31b5ob5o9b2o11b2o8b5ob
5o12bo5bo12bo5bo11bo2bo5bo2bo31b5ob5o85bobo2b3o2bobo6bo2b2obob2o2bo10b
ob3o3b3obo9b3o7b3o9bo5bo8bobo11bobo8bo5bo11bo8bo9bo3bo9bo5bo19bo27bo3b
o16b2o4bo6bo3bo23bo7b2o59bob2o3b3obobo$294b2o5b2o20bo7bo195bo2bo25bobo
bo8bo3bo6bobo6bobo7b4o3b4o6b4o3b4o7bobo3bobo9bo5bo10bo5bo9bo2b4o2bo13b
o5bo9bo13bo9bo6bo32bob2o4b2obo8bobo4bobo79bobo5bobo30bo2bobo2bo12bobo
3bobo13b2obobob2o49bo2b2ob2o2bo8bo4bobo4bo11b2ob2o12bo7bo8bob2o3b2obo
12bo5bo32b4o13bo9bo11bobo3bobo12bo9bo10bobo3bobo12bobo3bobo93b2o6b2o
29b2o3bo3b2o8b2o7b2o9b2o7b2o15bo5bo14bo7bo13bo5bo12bobo5bobo8bobo5bobo
10bo9bo11bo7bo14bo5bo92bobo11b2o2bo3bo2b2o9b3o3b3o3b3o8bobo7bobo8b2o5b
2o7b2o13b2o8bo5bo11bobo4bobo23b2o3b2o19bo24bo6bo15b5o2bo3bo6bo19b2o2bo
4bo2bo62bo2b2o3bobo$294bo7bo17bo2b2o5b2o2bo206b2o3b2o20b2o3b2o6b2o6b2o
8b2ob2ob2ob2o6b2ob2ob2ob2o8bo5bo10bo5bo10bo5bo9bo2bo2bo2bo13bo5bo9bo
13bo12b2o15bo8bo13bob2obo11bobo4bobo80b2ob3ob2o8bo13bo7bob2o3b2obo33bo
7bo13bobo11b3o7b3o13bobo11bobo2b2ob2o2bobo8b2obobob2o9bobo2bo2bobo5bo
3b2o3b2o3bo10b3ob3o71b2o5b2o12bo9bo10bo7bo12b2o5b2o93bo8bo29bo9bo9b3o
3b3o10bob2o3b2obo15b2o3b2o17bobo16b2o3b2o12b2o7b2o8b2o7b2o10b2o7b2o12b
3ob3o15b2o3b2o88bo2bo3bo2bo9b2o5b2o12bob2o5b2obo31bo5bo13bo5bo12bo7bo
9bob2ob2ob2obo21bo7bo20bo22b2o6bo15bo9b2o6bo22b3obo2b2o62bob2obo$294bo
bo3bobo17bo2bo7bo2bo206bobobobo8bo3bo6bo7bo25bobobobo10bobobobo10b2o3b
2o11bo3bo12bo3bo9b2o2b4o2b2o50b2o8b2o9bo10bo9bo2bo4bo2bo101bobo11bob2o
7b2obo11bobo13bo2b2o3b2o2bo11bo7bo13bobo11b2o2bo3bo2b2o11bo5bo9bobo3b
3o3bobo8bobo3bobo9bo9bo6bo2b2o3b2o2bo12b2ob2o15b3o13bo6bo11b2o7b2o12b
2o3b2o12b2o9b2o31b2o3b2o92bo12bo32bo15b2o3b2o10bobo2bobo2bobo13bo7bo
12b2obo3bob2o11bo7bo53b2o3b2o10b2o4b3o4b2o10bo7bo91bobo16bobo16b3obobo
b3o10bo11bo9bob3obo12bob2ob2obo11bo7bo8b2o3b4o3b2o48bo30bo31bo28b2o4bo
63b3o$294bobo3bobo19b3o5b3o224bobo10bobo61bob2ob2obo9bo5bo10bo5bo10bob
o2bobo14bobobobo9bobo9bobo8b2o6b2o9bobo8bobo8bo10bo7bobo6bobo99bo7bo
10bob2o3b2obo53bo5bo11bobo3bobo12b3o3b3o10b2o7b2o11bo5bo14bobo14bo3bo
13bo3bobo3bo12bobo14bob2obo11bo11bo10b2o5b2o11bo3bo3bo3bo8bo9bo11b2o5b
2o131b2o9b2o11bobo11bobob2obob2obobo10bobo2b3o2bobo13bo3bo12bobo2b3o2b
obo10b3o3b3o10b3o3b3o14bo3bo12b4o5b4o9bobo2b3o2bobo107b2ob2o16bobo3bob
o12bob2o3b2obo10b2o3b2o12bo2bobo2bo32bo4bo24bobo3bobo19bo27bob2o33bo
27bo2bobo65bo$288bo5b2o5b2o5bo10bo5bobobo5bo267bobo14bobo10bob2o3b2obo
7bo2bobo2bo8bo2bobo2bo32bo3bo10b2ob2o5b2ob2o10bo4bo11bobo8bobo10b2o4b
2o10b2o6b2o100bo7bo11b2o5b2o55bo3bo9b2o11b2o9bobo3bobo11bobo3bobo32b2o
b2o10b2o2bobo2b2o9bo4bobo4bo12bo13bob2o2b2obo9b6ob6o11b2o3b2o32bo3bo3b
o3bo11b2o3b2o132bo4bobo4bo10bo3bo14b7o15bo3bobo3bo14bo3bo13bo3bobo3bo
14bobo16bobo15bobo3bobo11bo9bo11bo3bobo3bo108bo3bo15bob3ob3obo14bo3bo
12bo7bo11bo2bobo2bo12b7o12bo6bo24b2o3b2o47b2o32bo28bobobo$287bob4obo7b
ob4obo9bo6bobo6bo266bo3bo10bobo3bobo7b3obobob3o6bo3bobo3bo6bo3bobo3bo
8b3o2b3o9b3ob2o5b2ob3o6b2obo3bob2o11bo6bo13bo6bo11bobo6bobo7bo2bo4bo2b
o180bo9bo6bo2bobo3bobo2bo10bo5bo13b2o3b2o11b3o5b3o11bo3bo12bo5bo14bo5b
o15bo12b4o4b4o9bobobobobobo9b4o5b4o9bo4bobo4bo7b2obobobobob2o8b4o5b4o
130b2o7b2o10b2o3b2o12bobo3bobo13b2o9b2o12bo5bo11b2o9b2o9bob2o3b2obo8bo
b2o3b2obo10bo9bo11bo2b3o2bo11b2o9b2o103bobob2ob2obobo9b2o3bo3bo3b2o12b
o3bo29b4o7b4o30b4o24bo9bo77b5o26bo$287bo2b2obo9bob2o2bo9bo3b2obobob2o
3bo281bo7bo10bo3bo9b2obo3bob2o6b2obo3bob2o10bo2bo11b2obo3bobo3bob2o10b
obo15bo6bo12b2ob4ob2o11bo8bo220b2o5b2o33bobobobo10bo2bo5bo2bo11bobo14b
2ob2o17bobo16bobo14b6o12bob2o3b2obo11bob2ob2obo12bob3ob3obo12b2ob2o14b
ob2ob2obo156bo16bo5bo15bo9bo13b2o3b2o12bo3bobo3bo11b2o5b2o10b2o5b2o11b
2o7b2o11b3o3b3o12bo9bo103bo4bo3bo4bo8bo3bo5bo3bo8b2ob2o3b2ob2o26b4obob
ob4o12b3o15bo4bo23bobo5bobo112bo$289bo17bo10bobo2bo7bo2bobo278bo11bo
23bobo3bobo8bobo3bobo9bo6bo11bo2bobobobo2bo9bob2ob2obo11bobo4bobo13bo
4bo12b4o4b4o9b2o4b2o225bo3bo13bo2bobo2bo9bobo7bobo11bobo14b2ob2o15b3ob
3o13bo18bo2bo14bo7bo9bo13bo9b2o7b2o10bo7bo9bo13bo218b3o17b2ob2o14bo7bo
10bo7bo12bo7bo13b2o3b2o196bo3bo12b2o2bobo2b2o11b2o3b2o10bo10bo21bo7bo
80b2obo$292b2obo5bob2o14bo3b2o5b2o3bo297bo9bo6b2o7b2o6b2o7b2o6b2o8b2o
9bo2bo5bo2bo12bobo15bo6bo12b3o4b3o11b2o6b2o10bobo2bobo285bobo16bo17bob
obobo16bo16b2o17b2ob2o11bobo2bo3bo2bobo12bo3bo13b3o3b3o9bobo2bo3bo2bob
o167b2o2bo3bo2b2o14b2o3b2o18bo19bobo14b3o5b3o8b3o5b3o10b3o5b3o10bo3bob
o3bo13bo5bo129b2o9b2o10bob2obob2obo50bo2bo2bo13bo4bo23b2obo3bob2o77bo
2bo2bo$320bo2bobo3bobo2bo298b2o7b2o6b2o7b2o6b2o7b2o7bo3b2o3bo8bo3bo7bo
3bo7b3o3b3o12bobo2bobo34b2o4b2o10bo8bo360bo2bo14bo2bobo2bo10b2ob2o3b2o
b2o11b2obobob2o12bobobobo11b2ob2o3b2ob2o168bo4bobo4bo14bobobobo36bobob
obo12bobo5bobo8bobo5bobo10bobo5bobo9bo4bobo4bo13bo3bo132bobo3bobo13b3o
3b3o13b3o13bo9bo10bobo3bobo10bobo4bobo23bo5bo79bobobobo$291b2ob2o5b2ob
2o13b2o2bobo3bobo2b2o299bo5bo10bo5bo10bo5bo11b2o2b2o54bo8bo13bob2obo
14b2o4b2o13bo2bo364b2o35b3obobob3o12bo7bo12bobobobo12b3obobob3o174bobo
20bo3bo17bobobo15bobobobo13bo7bo10bo7bo12bobo3bobo10b2o2bo3bo2b2o150b
3o3b3o14bo5bo13bo3bo12bobo5bobo10bob5obo9b2ob2o2b2ob2o22b2o3b2o79b2o$
295bo2bo2bo19bo11bo299bo9bo6b3o5b3o6b3o5b3o10bo2bo11bo15bo6bo9bo11bo6b
o419bo2b4o2bo10b2o7b2o33b2o5b2o10bobobobobobo191b2ob5ob2o37bo5bo15bo3b
o13bo3bobo3bo8bo3bobo3bo12b2o3b2o13b2o5b2o174b3o3b3o9b3o5b3o9bo9bo11bo
bobobo9b2o3bo2bo3b2o106b3o$294bob2ob2obo14b2o5b2o3b2o5b2o313bo7bo8bo7b
o11bo2bo11b2o13b2o7bo7bo12bobo2bobo11bo2bo4bo2bo10bo8bo11bo4bo362b4o
15bobobobo15bo3bo17bo3bo36bo3bo173bo2bo3bo2bo13b2o7b2o13bo5bo15bo3bo
16b2ob2o14b2ob2o15bobobobo14bo5bo13b3obobob3o132b3o16bo2b3o2bo11bo5bo
34bo3bo12bo8bo109bo$293b2o3bo3b2o14bo4b3o3b3o4bo334b3o13bo4bo34b2o5b2o
11b2o6b2o9bobobo4bobobo8b2o8b2o10b2o2b2o357bob2obo2bob2obo11bo3bo16bo
3bo16b3ob3o14bo3bo16bo3bo175bo5bo14bo2bo5bo2bo14b3o16b3ob3o15b2ob2o14b
2ob2o16b2ob2o34bob2obobob2obo131bobo37b2ob2o15bo3bo16bobo13bobo4bobo$
292bo11bo15bobo2bo3bo2bobo316bobo3bobo8bob2ob2obo11b4o11bo15bo5bo11bo
10bob4obo10bobobo4bobobo8bo2bo4bo2bo9bo2b2o2bo361bo2bo17bobo15b2o5b2o
15b2ob2o16bobo15b2o5b2o170b3obobobob3o11b5o3b5o32bob2ob2obo12bob2ob2ob
o10bob2ob2obo12bo7bo13bob3obo13bo3bobo3bo152bobobobo13b2ob2o14bobobobo
15bobo14bo6bo$291b2o2bo5bo2b2o382bo2bo33b2obo5bob2o10bobo2bobo15bo2bo
17bo2bo14b2o2b2o362b4o16bo3bo12bo2bobobobo2bo31bo2bobo2bo10bo2bobobobo
2bo168b2ob2o3b2ob2o58b2ob2o16bo3bo14bo3bo14b2obobob2o15bobo15b2obo3bob
2o171b2o3b2o14bo3bo12b3o5b3o10b2o4b2o$298bo21bo3b2o3b2o3bo351bo2b2o2bo
33bo7bo11bo2bo2bo2bo52b2o4b2o380b2o3b2o11bo2bobobobo2bo11bobo3bobo10bo
3bobo3bo9bo2bobobobo2bo169bo9bo16bobobo17b2ob2o14b2o5b2o12bobo3bobo10b
obo3bobo13bobobobo14b7o14b2o5b2o169bobo7bobo11bo3bo12b2o7b2o10bo6bo$
290bo2bobo5bobo2bo17b3ob3o354bobo4bobo31b2o7b2o10b2o2b2o2b2o13b2o2b2o
14b2o4b2o9b2o8b2o377bo2bobo2bo11b2o7b2o12bo7bo14bobo14b2o7b2o174bobo
20b2ob2o13b3obo3bob3o10bob2ob2obo13bo5bo12bo5bo236bo7bo9bo3bo3bo3bo9bo
7bo$290bo2b2o3bo3b2o2bo12b2o5bobo5b2o349bobo4bobo30bo11bo10b2o4b2o14bo
b2obo14bo6bo398b2o5b2o10b2o3bobo3b2o10bob2o3b2obo29b2o3bobo3b2o171b3ob
3o16bo3bo3bo12bobo2bo2bobo12bo2bo2bo14b2obob2o12b2obob2o34bobobobobo
10b2o4bobo4b2o168b2o5b2o10bo2bo3bo2bo$293bo9bo15bobo3bo3bo3bobo351bob
2obo35bo5bo14bo4bo15bo4bo31bo10bo375bo11bo8bo11bo10b2o7b2o12b2ob2o12bo
11bo194b2o5b2o36bo3bo17b3o16b3o17b5o16bo3bo13b3o7b3o170bo5bo11bobo5bob
o11bo5bo$293bobo2bo2bobo15bo15bo433b8o13bobo2bobo8bo2bo6bo2bo375bo9bo
10bo9bo10bo11bo11b2ob2o13bo9bo170b2o7b2o16b2ob2o17bo3bo13bo9bo14bobo
16bobo17b2ob2o14bobo3bobo12bo9bo174bo14bo9bo10b2o2bo2b2o$295b2o3b2o
445b2o6b2o12bo6bo13bo6bo8bo2bo6bo2bo396b2o7b2o11b4o3b4o11bo5bo12b2o7b
2o171bo7bo16bo5bo13bo9bo9bo5bo5bo10bo2bobo2bo10bo2bobo2bo10bobo7bobo
11bob3obo14b2o5b2o170bo9bo12bo3bo12bo9bo$295b3ob3o16bobo13bobo411b2o4b
2o11bo2bo4bo2bo10b2obo2bob2o11bob2obo380b4ob4o55b2obob2o191bo13bo15bob
o14bobo7bobo7b2obo7bob2o7bo2bo5bo2bo6bo2bo5bo2bo12b2ob2o14bob2ob2obo
15bo3bo172b2o7b2o9bo9bo12bo3bo$292bo3bo3bo3bo12b2obo13bob2o412bo2bo12b
2o10b2o11b2o2b2o11bo2bo2bo2bo381bobo15bo7bo16bobo14b2o5b2o12bo7bo198b
2ob2o13b2o9b2o11bo2bo2bo10bo2b2obobob2o2bo4bo2b2obobob2o2bo7bo3b2ob2o
3bo10b3o3b3o14bobobobo173bo5bo11bo2b2ob2o2bo$291bobobobobobobobo10bo
21bo430b3o2b3o32b2ob2ob2o381bo3bo13bo9bo13b3ob3o14b5o15bo5bo198b2o3b2o
14b3o3b3o14bo3bo14b2o5b2o10b2o5b2o9bo13bo32bo5bo174bo3bo10bobo2bo3bo2b
obo9bo5bo$290bo3b3o3b3o3bo12bo15bo434bo4bo13b2o6b2o12b4o381bo2bobo2bo
11b2o2bobo2b2o11b2o2bobo2b2o28bo2b2o5b2o2bo191bob2o5b2obo12bob3obo15bo
3bo11bob3obobob3obo4bob3obobob3obo9bo7bo15b3o18b5o191bob3o3b3obo10bo5b
o$288bobobo4bobo4bobobo7bo10bo10bo451b2o4b2o13bo2bo380bob3ob3obo11bo7b
o13b2o5b2o12bobobobo13bo7bo193bo13bo11bo5bo14bo5bo10b2o2bobobobo2b2o4b
2o2bobobobo2b2o7b2o2b2ob2o2b2o14bo17b2o5b2o171bobo3bobo8bo3bo5bo3bo10b
o3bo$292bo3b2ob2o3bo12bo2bo5bobo5bo2bo454bo2bo14b2o2b2o383bobo14b2o7b
2o14b2ob2o15bo3bo14b2o5b2o218b2o5b2o11bobo5bobo13bo3bo14bo3bo14b2o5b2o
11bob3ob3obo12b2o5b2o171bobo3bobo$287bobo17bobo9b2o2b4ob4o2b2o471bo2bo
4bo2bo399b2o3b2o36bo3bo12b2o9b2o217bo5bo14bo5bo55bo3bo14bo2bobo2bo14bo
5bo173b3ob3o12bo7bo11b2o5b2o$291b3o9b3o13b4o3bobo3b4o881bo7bo15b2ob2o
15bo3bo14bo7bo238bo9bo69bobo2bo3bo2bobo190bo2bobo2bo9b2o9b2o12bobo$
290bobo11bobo15bo2bo3bo2bo473bob3o4b3obo399b2ob2o15b2o5b2o13bo3bo11b2o
11b2o235bob2o3b2obo12b2o3b2o13b2ob2o14b2o5b2o14bo3bo17bo3bo172bo9bo10b
o7bo11bo7bo$287bob2o15b2obo10bob3o5b3obo474b2o4b2o400bo2bobo2bo11bo2bo
bobobo2bo8b2obo3bob2o9bo3bo3bo3bo236b2o7b2o12bobobobo12bobobobo14bo5bo
16bobo194b4o5b4o8bo9bo8bo2bobobobo2bo$323bo7bo478bo4bo399bo2b3ob3o2bo
9bo2bo5bo2bo7bo4bobo4bo7bo4b2ob2o4bo295bo11bo12bo3bo18b3o176b2ob2o34bo
5bo$287bo21bo12bobobobobobo478bo2bo402bo7bo14bo5bo12bo7bo14b2ob2o348bo
bo174bo7bo10bo9bo9bo9bo$810b2o2b2o399b2obo5bob2o9b2o2bo3bo2b2o7b2obo5b
ob2o11b2o3b2o522b2obo5bob2o29b2o5b2o$810b6o399bobo7bobo9bo3bo3bo3bo10b
obobobo10b3o9b3o521bo2bo2bo9bo2bo7bo2bo7b3ob3ob3o$1214bo13bo11bobobobo
14bo3bo12b2o9b2o520b2o7b2o7bo13bo8b2o5b2o$809bo6bo397bo13bo30bobo3bobo
11bo9bo525b3o12bo11bo$808b2o6b2o399bo7bo16bobo14bo7bo10b4o2bo2b4o524bo
bo12bo11bo12bobo$806bo2bo6bo2bo395b3o7b3o13b2ob2o14bobobobo561bo15bo9b
2ob2o$810bo4bo402bo5bo13bo3bobo3bo10bo2bobo2bo13bob3obo543b2o7b2o11b3o
b3o$809bobo2bobo402bo3bo13bo4bobo4bo8b2o2bobo2b2o10bo2bo3bo2bo540b2o9b
2o10bobobobo$1216b2o7b2o13bo5bo15bobo14bo9bo539b2obo2bobo2bob2o9bo5bo$
1242bobo14b2o5b2o11bo2b2ob2o2bo562bo2bobo2bo$1240b3ob3o10b3o7b3o12b2ob
2o566b2o3b2o$1240bobobobo10b2o9b2o585bobo$1279b2obo3bob2o564bo3bo$
1258bo9bo11b2o5b2o$1259bo7bo10bo2bo5bo2bo$1259b4ob4o10b3obo3bob3o$
1259b2obobob2o15bobo$1260bo5bo13b3o3b3o$1259bo7bo14bo3bo$1281bo5bo$
1260bo5bo14bo2bo2bo$1260b3ob3o$1259b2o5b2o14bo3bo$1259bobo3bobo14bo3bo
$1260bob3obo$1258bo2b2ob2o2bo14b3o$1260b2o3b2o15bo3bo$1257bo11bo10bo7b
o$1278bo2b2o3b2o2bo$1260b2o3b2o11b13o$1259b4ob4o15bobo$1259b4ob4o14bo
3bo$1258b2o7b2o12bo2bo2bo$1262bobo13bobob2ob2obobo$1259bo2bobo2bo12bo
3bo3bo$1262bobo15b3o3b3o$1259bo2bobo2bo15bobo$1259b3o3b3o14b2ob2o$
1259bo7bo$1280b2o5b2o$1258b2o7b2o12b7o$1259bo7bo14bo3bo$1260bo5bo$
1260bo5bo15bo3bo2$1261bo3bo14bo7bo$1259b4ob4o14b2ob2o$1278b4o5b4o$
1259bob2ob2obo12bo7bo$1259b2obobob2o9bo3bo5bo3bo$1261bobobo13bobo5bobo
$1279bo9bo$1280b2o5b2o$1261bo3bo13b3o5b3o$1262bobo13bo2b2o3b2o2bo$
1261bo3bo12bo2b2o3b2o2bo$1262bobo16bobobobo$1260bo5bo10bo5bobo5bo$
1259b2o5b2o10bo11bo$1257bo2b2o3b2o2bo8bo3b2ob2o3bo$1262bobo$1277bob3o
5b3obo$1261b2ob2o16b2ob2o$1282bo3bo$1260bo5bo11bobo2bobo2bobo$1260bo5b
o12b5ob5o$1259bobo3bobo11b2o7b2o$1259b2o5b2o11bobo5bobo$1258bo9bo11bo
7bo$1258bo9bo9bobo7bobo$1257b3obo3bob3o9bo9bo$1258bo2bo3bo2bo9b2o9b2o$
1261bo3bo15bo5bo$1261bo3bo15bo5bo$1259bobo3bobo10b2obo5bob2o$1260b2o3b
2o10b4o7b4o$1277b2o11b2o$1258b2o3bo3b2o$1278b4o5b4o$1258bob2obob2obo
11bo7bo$1259bo2b3o2bo11b2o3bo3b2o$1258bo2bo3bo2bo13bo3bo$1258bob2o3b2o
bo9bobobo3bobobo$1258bob3ob3obo9bo2b2o3b2o2bo$1260bo5bo12bo3bobo3bo$
1260bobobobo12b2o7b2o$1281bo5bo$1260bo5bo15bo3bo$1262b3o17bo3bo$1262bo
bo17bo3bo2$1260b2o3b2o15b2ob2o$1283bobo$1261bo3bo13bobo5bobo$1280bo7bo
$1260bobobobo13bo7bo$1261bo3bo15b2o3b2o$1261bo3bo$1261bo3bo15b2o3b2o$
1260bobobobo12b2o7b2o$1263bo15b2o2bobo2b2o$1261b2ob2o11bo3b3ob3o3bo$
1261b2ob2o13bo9bo$1278b3o7b3o$1259b3o3b3o13bo5bo$1258bobo5bobo9bo2bobo
bobo2bo$1261bo3bo16bo3bo$1259b4ob4o14b2ob2o$1261b2ob2o12b2obo5bob2o$
1278bo3bo3bo3bo$1278b4o5b4o$1260b3ob3o10bo4bo3bo4bo$1260bobobobo13b3o
3b3o$1259bo7bo11bo2bo3bo2bo$1283bobo$1282bo3bo$1282bo3bo$1280bob2ob2ob
o$1282b2ob2o$1279bobo5bobo$1279b2o7b2o2$1279bo2bobobo2bo$1283bobo$
1281bobobobo$1282b2ob2o$1281b2o3b2o$1281b2o3b2o$1279b3o5b3o$1277b2obob
2ob2obob2o$1278bob2o5b2obo$1280b2o5b2o$1281bo5bo$1280bo7bo$1282bo3bo$
1281bo5bo$1279b2obo3bob2o$1278bobo7bobo$1277b2o4bobo4b2o$1277b2o4bobo
4b2o$1278bo3b2ob2o3bo$1280bo7bo$1283bobo$1283bobo$1283bobo$1279bobo5bo
bo$1279bo3bobo3bo$1279b3o5b3o$1279bo2b2ob2o2bo$1283bobo$1278bo11bo$
1278b2o9b2o2$1280bo7bo$1280bo7bo$1281bo5bo$1279bob2o3b2obo$1283bobo$
1279bo9bo$1279b3o5b3o$1282bo3bo2$1280bo2bobo2bo$1279b2o7b2o$1278bo3bo
3bo3bo$1280bobo3bobo$1279bo9bo$1277bo13bo$1279bo9bo$1277b4o7b4o$1279b
2o7b2o$1281bo5bo$1281bo5bo$1279bobo5bobo!
Many rules have five 3-cell ships, with some even having six:

Code: Select all

x = 53, y = 5, rule = B2ekn3ceiq4ajkqrtw5n6-ck7/S02ack3kny4aceq5ek
bo5bo5bo6bobo4bo11bo12bo$obo16bo8bo22bo$6bobo3bo24bo3bo$14bo14bo19bo$
29bobo!
I have posted other rules in the Goldilocks rulespace in the Unrecognized CA thread, if you want to see more examples. Can anyone find somewhere in this rulespace a rule with seven 3-cell ships? Is there a rule with guns? I really think this rulespace has potential, and more to be explored.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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LaundryPizza03
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 16th, 2018, 7:27 pm

I found a 2c/6 rake (far right):

Code: Select all

x = 29, y = 4, rule = B2ek3ei4ajr6i/S02ack3kn4ay
bo5bo5bo6bobo3b3o$obo16bo6bobo$6bobo3bo$14bo12bo!
EDIT: Found a gun, a 4-barrelled p15 for the c/2:

Code: Select all

x = 3, y = 3, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
obo$bo$obo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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AforAmpere
Posts: 1334
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Re: Goldilocks rulespace (see first post for details)

Post by AforAmpere » January 16th, 2018, 8:16 pm

LaundryPizza03 wrote:Found a gun, a 4-barrelled p15 for the c/2:

Code: Select all

x = 3, y = 3, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
obo$bo$obo!
Nice! I didn't know if any of these rules had guns. I wonder if there is a replicator somewhere. p45 based off of that gun:

Code: Select all

x = 25, y = 25, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
12bo4$10bo3bo5$12bo$4bo6bobo6bo$10b2ob2o$o8bo2bo2bo8bo$10b2ob2o$4bo6bo
bo6bo$12bo5$10bo3bo4$12bo!
Interestingly, that rule also has a one-cell reflector, which can be made into arbitrary period oscillators:

Code: Select all

x = 16, y = 13, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
$9bo2$7bo$4bo3bo$7bo$12bo3$7bo!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
KittyTac
Posts: 535
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Re: Goldilocks rulespace (see first post for details)

Post by KittyTac » January 16th, 2018, 10:14 pm

LaundryPizza03 wrote: Interestingly, that rule also has a one-cell reflector, which can be made into arbitrary period oscillators:

Code: Select all

x = 16, y = 13, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
$9bo2$7bo$4bo3bo$7bo$12bo3$7bo!
I vote that we call this one "shuriken".

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LaundryPizza03
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 16th, 2018, 10:41 pm

Apgsearch turned up this c/8 diagonal in the same rule as the p15 gun:

Code: Select all

x = 5, y = 3, rule = B2ek3cei4acjr5c8/S02ack3kn4aen
o2bo$4bo$2bo!
Seeing that this rule has reasonable potential, I'd suggest calling it "Goldilocks I". Any opinions?

P.S. My computer is getting stuck in B2ek3ei4ajr6i/S02ack3kn4ay, the 2c/6 rake rule, so it is likely not apgsearchable. There seems to be a few soups that score on the order of 10^5. I know there's a yl30 and a yl114, though.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 16th, 2018, 11:02 pm

AforAmpere wrote: B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y, has an abundance of other ships, including a 3-cell 4c/22 diagonal:

Code: Select all

x = 2113, y = 228, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
[Various ships]
I don't see any evidence that this rule is explosive, unless you've already tried searching it:

Code: Select all

x = 64, y = 64, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
b2obobob2obo2b5o2bo5b5ob3o3bo2b2obo2bob2obob2o3b3o$3bobo2b3ob4o3bob2ob
obo2b8obo5b5o2bobo3b4ob2o$2bob2o2bo4bobo3b2ob2o7bo2b2ob3ob3o2b4o2b3o2b
2o3b2o$3bo3bobo4b2o2b2ob2o2b2o2bo2bo8b2obo2bo2b2o4b4ob2o$b2ob3obob3ob
2ob2ob5ob2ob3o4bo2b2ob3o2b2obob3ob2o2b4o$o2b3o2bo2bo2bo2b4ob2o2bobob2o
bobo3bobob2obob2o2b5obob3o$bo2bo4b3o3bobo4b3o3b2o3bo4b5ob2o2bo2bob2obo
3bo2bo$4obo5b5o2b3o2bo2bo2bo2b2o3bobo4b2o2b4o2b3ob3o$2ob7o4b2o2bo2bobo
3b2ob5obob2o5b2ob5obo2bo3b3o$2o3bob6obo2bo2b7obob2ob2obobob4obo6bo2bob
ob3obo$o2b4ob3ob2ob2ob2ob2o4b4obob2o2bob2o2bob3o10bo2bo$b4obobo2b4obob
2obobobo2bobo2b3obo2bo6b4obo5b2o$2bo7bo3bo2bo3b3o2b3o4bobobob2o7b2o2bo
2b3o2b3o$2obobo2bo3bo3b3obob3o2bo4bobo3b2o4b2o4bo2b3o3b2obo$5obo2b2o2b
obobo5bo2bobo2bo3b4o3bo3bobobob2ob2obob2o$b6o4bob3obo2bob2ob2obobo3b2o
bo4b2o7bob2o2b2o$2obo4b3obo2bob4obo3bo3bob2o2bo2bo4b3obob7ob2o2bo$2bo
4bobob3o3b5obob2o3bo3bobo2bo3bobo3b4o2bo6b2o$obo2b2o3b3obob4o3bo2b4o3b
2o2b2o4bo6b2ob2o2bob3o$3o2b2obo4b2ob2o2b2obo3b2obob2o2bob2obob2o5b2ob
3o2bo2bobo$6b4obo3bo2b2obob2o4b2obob3o2b2o3bob2o4b2o2b2o3bobo$bob2obo
3bobo2bo5b2obo7bo2bo2b5obo3b3obobo3b3o$2ob4o2bo3bo3bobobo3bob4ob2ob3o
3bo3b2obob3o7bob2o$5bo2bo4bo5b2o2bobo2bo2b3obob4o2bob2o3b3o2b4o3b2o$5b
o3bobob2ob3obo2b6ob2ob2o4b2o5bo2bo2bo7bo$obo3bo2b2o2b4obo3bobo4b2o2b2o
2bob2obob3ob6ob2o2b4o$5b4ob2o2bob3ob2o2bo2bob2obo6bobob2obobo4b5o2b4o$
2b2ob2o2bob2ob2obob4obo2b4obo2bobob4o3bobo3bo2bob2obo2bo$3ob3o3bo3bobo
6b2ob3obob4obobob4o2bo2b4ob2obo2bo$2b3ob2o4b2o3b2obob2o6b3obo2bo2b2ob
2obo2b2o2b7obobo$2bo2bob2obob2obob2o3b2obo4b3ob2o2bo2b2o2b3o2b2o3bo2b
2obobo$2b4o2b2obobo3bob6o5b2ob3obo4bo4b2obobo4b2o2bobo$o4b3obobob6o3b
2o2bo2b2o5bob2o4bo4bob7ob4o$b2o2bob7ob2obob2ob3o2b2obobo3b4obo2b2o2b2o
bob2ob7o$o5bo2bob2o3b3o2bo3b5ob2ob2ob2o3bo4bo2b3o2bo3bob2o$bo2bobo6bob
3ob5ob3obo2b3o2b2o2b2o3bo2b2o2bo2bo2b2o$obobo3bobobob5o2bob3ob4obobob
2o2bo2b4obo2b9ob2o$3bo4b3ob5ob2o3b3ob8obob3obob2ob2o2b2ob3ob5o$bo2b2ob
o2bo3bo2b2o3bo2b3ob4ob7o3bobo4b2obo2bob3obo$4o7bobob2o2b2o3bob2o2bo2b
3ob2o5bobob3o4b2o3bo2bo$5o4b2ob4o10bobob2ob2o3b2obo2b7ob2ob5ob2o$2bo3b
obob2o3bobo2bob3o4bo3b3o4b2obo4bo5b2o6bo$3b4o2bo3b3obobo6bobo4bobo2bob
ob7obo2bob3obo2b2o$2b3ob5ob3o2b2o2bob3o2b3o2bo2bo4b6o6b6o3bo$5bob6obob
obo3bo2bobo2b3obo3bob2ob2ob2obo2b4obob4o$2ob2obobo3b2obob2o7b2ob3ob2ob
o2bo2b2o2b3o4b2o5bobo$obo3b2ob4o2bob2o2b2ob3obobob4o4b5o8b3obob5o$2bo
3bo3b2ob3o2bo4bob3obo2bobobob2o2b2o2b5obobobob2o2b2o$o3bo4bob2ob2obo2b
3o3b3obo2b4ob3o3b3obobo2b2obob3o$o2bob2ob2o2b2o4b2ob2o3bob2ob2o2bo2bo
2bo5b2obobob2obo4b2o$6o2bo2bobobo3bo2b3o2bob4ob2obo3b7obo2bob2obob2o2b
o$bobobob2o3bobobo2bob4obob2ob3o5b2o2b2o3b3ob2ob5o$2bobo3b7o2bobob3o2b
3ob2o2b2ob2o4bob5o3bob3o3bobo$bobobobo2b3o3b3o5bo3b2obo2b7ob3ob4o3b6ob
2obo$o2b2o3bobo2b4o7b3o5b3obo2bo2b4o2bo4b3ob7o$o5bobobob2obo2bob2ob2ob
o2b2o8b2ob2o3bobo5b2o3b4o$bob2ob3obob2ob3obo2b3ob2o2b5obobo5bob4obo3bo
3bobobo$o3b4obobob2o3b3o4bob2o2bob3obob2obob4o2bob2obo2b2ob3o$o4b2obob
2obo6bo2bo2b2ob2ob4o6bob2o4bobo3b4o2bo$3b3o2b3o3bo3bo8b2ob2o3bob2ob4ob
4ob4o2bo2bo3bo$bobobo5b6ob3o2b2o3bob2o7b3obo2b4o3bo4bobo$2o3bo3b2ob7o
3b3o2b2obobo3bobob3obob2obob2o5b3obo$obob2o3b2obo4b2o2bob4o2bo4bob2o3b
4ob2obo2bo3bo2b2ob2o$bo4b3o2b2obobob2obo4bo2bo2b3obo2bob2ob3o4b2obo2b
4obo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 17th, 2018, 1:59 pm

p18:

Code: Select all

x = 9, y = 9, rule = B2ekn3ceiq4acjrt5ck6e8/S02ack3kn4aen
4bo2$2bo3bo$3bobo$o3bo3bo$3bobo$2bo3bo2$4bo!
EDIT: p13 gun just 2 transitions from the first.

Code: Select all

x = 3, y = 3, rule = B2ek3cei4acjr5c8/S02ack3kn4aen6i8
3o$3o$3o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 17th, 2018, 4:45 pm

p38:

Code: Select all

x = 6, y = 6, rule = B2ekn3ceik4acjrt5c8/S02ack3kn4aen
o3$3b3o$3b3o$3b3o!
Failed type-Q replicator from the same rule:

Code: Select all

x = 3, y = 3, rule = B2ekn3ceik4acjrt5c8/S02ack3kn4aen
bo$obo$bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 17th, 2018, 5:15 pm

p62:

Code: Select all

x = 7, y = 7, rule = B2ek3ceik4ajrtwy5ack6n8/S02ack3kn4acnq5j6a8
4bobo2$6bo$3bo$o2$obo!
EDIT: p17:

Code: Select all

x = 3, y = 3, rule = B2ek3ceik4ajrtwy5ack6ein8/S02-ei3kn4acnq5ej6a7e
bo$obo$bo!
EDIT: Another gun, a 4-barrelled p16 gun for the c/3:

Code: Select all

x = 3, y = 3, rule = B2ekn3ceiq4ajrt6n8/S02-ei3kn4acny6i
bo$obo$bo!
Another failed quadratic replicator, also p17:

Code: Select all

x = 3, y = 3, rule = B2ekn3ceikq4ajrt6n8/S02-ei3knr4acny5y6i7e
bo$obo$bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Goldilocks rulespace (see first post for details)

Post by LaundryPizza03 » January 17th, 2018, 7:34 pm

How's a p70 for a change?

Code: Select all

x = 6, y = 6, rule = B2ekn3ceiq4aejrw5k/S02ack3ckn4aceq
bo$obo$bo$4bo$3bobo$4bo!
EDIT: A p27 1 transition from the above:

Code: Select all

x = 4, y = 4, rule = B2ekn3ceiq4aejrw5k/S02ack3ckn4acenq
bo$obo$bobo$2bo!
Unfortunately, no replicators yet. I'll go for dinner now.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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