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2x2

For discussion of other cellular automata.

2x2

Postby Lewis » March 17th, 2009, 5:32 pm

Is there much in the way of interest in the rule 2x2 (125/36)? I can't seem to find any websites or information on theis rule.
Over the last year or so, I have built up a collection of patterns (mainly oscillators) and would like to see if they are new discoveries or if they're already well-known.

EDIT: Oscillator collection as of 30/10/2015:
x = 321, y = 327, rule = B36/S125
78bo6bo$49b2o28bo4bo$35bo8bo6bo5b2ob2o2bo9b2o6bo46b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o4b2o$3bobobo9b4o3b2o3b2o4bobo12bobo11bob2o13b3o30b
obobo12bo4bo4bo4bo4bo4bo4bo4bo4bo4bobob2obo$3bobobo9b4o4bo5bo4bo5b2ob
2o4bo6b3o5bobo4bobo4b3o31bobobo8b50ob2o2b2o57b2o3b2o5b2o$8b2o13b2o3b2o
7b2o3bobobo5b2o6bo3bob2o3bobo7bo30b2o13b50o$58b2o4bo14bo4bo46bo4bo4bo
4bo4bo4bo4bo4bo4bo4bo28b2o4b2o28b2o3b2o5b2o$8b2o61b2o5bo6bo26b2o15b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2o25bobob2obo$178bob2obo7b2o10b
5ob2o2b2o26b2o3b2o5b2o$8b2o102b2o64b2o2b2o6bo12b5o40bobobo11bo7bo46bo$
3bobobo15b4o5b2o80bobobo7b6o58b5o12bo33b2o5bobobo11bo8bo40bo3bo$3bobob
o15b4o5b2o10b2o38b2o28bobobo7bob2obo56bob5o10b2o3b2o41b2o7b3o18b12o16b
o3bo$b2o12bobo14b2o11bo2b2ob2o2b2o9b2o3b2o2bo10bo3b2o2b2o2bo20b2o6bo2b
o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o7bobo21bo28b2o22b2o8b2o6b12o
10b2o9bo$15bo16b2o8bobo3bo3bo12bo2bo2bobobo5bob3o4bobobobobo37bo4bo4bo
4bo4bo4bo4bo4bo4bo4bo9b2o17bo54bo8b3o28bo9b2o$b2o13b2obo5b4o5b4o2bobo
6b3o4b3o7bo6bo6bo2bo8bo3bo22b2o13bo4bo4bo4bo4bo4bo4bo4bo4bo4bo22b6o2bo
30b2o10b2o18bo32bo3bo$17bobo5b4o5b4o5bo20bobobo2bobobo5b2o7bobobobobo
27b6o2bo4bo4bo4bo4bo4bo4bo4bo4bo4bo22bob2obo4bo90bo3bo$b2o13bobo23b2o
4b2ob2o5b2o4bo2b2o2bo2b2o14b2o2b2o2bo20b2o5bob2obo4bo4bo4bo4bo4bo4bo4b
o4bo4bo4bo21bo2bo3b2o29b2o10b2o47bo$3bobobo8bo97bobobo8bo2bo3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o$3bobobo106bobobo122b2o10b2o2$79b2o3b2o$
46b4o29b2o3b2o$19b2obo5b2o16b4o7b2o20b2o3b2o105bo$21b2o6bo6bo2bo4b2o4b
2o5bo7b2o5b2o5b2o3b2o105bo$26b4obo5b3o4b2o4b2o3b2o3bo5bo2bo2bo8b3o85bo
bo$16bo2b2o5bob4o4b3o5b2o4b2o3bo3b2o4bo2bobo2bo5b2o3b2o105bo50b2o3bobo
bobo$16bo2bo8bo7bo2bo4b2o4b2o6bo7bo2bo2bo6b2o3b2o82bo2bo16b2o3b2o9bo
42bobobobo$17bo10b2o16b4o7b2o6b2o5b2o5b2o3b2o41b2o39b3obo15bobobobo10b
o36b2o10b2o$16b2o28b4o29b2o3b2o40bo43bobo34bobo$128bo3bo2bo4bo2bo4bo2b
o6bo2bo10bo12b2o4bo4b2o8bo35b2o10b2o12bo$128bo2bob2obo2bob2obo2bob2obo
4bob2obo22bo4b3o4bo10bo54bo3b2o$126bo4b6o2b6o2b6o4b6o7bobo13bo2bo3bo2b
o9bo2b3o30b2o7b2o9bo2b4o$20b2ob2o5bo4bo3bo4bo5bo26b2ob2o45b2o41bo2bo7b
2obo3b2o3b2o3bob2o7b2obo52b3o$16b2o6bo6bo4bobo4bo3bobobo8b2o4b2o8bo94b
obo12bo2bo3bo2bo12bob2o29b2o7b2o11b4o2bo$16bobob4o9bo10b2o2b2o5bobo2bo
5bobo6bobob3obo41b4o3bo52bo4b3o4bo12b3o2bo48b2o3bo$18bobo10bobob3o7bo
9b2obo2bo6bobo4bo2bo2bobo40bob2obobob2o12b6o2b6o10bo13b2o4bo4b2o15bo
28b2o4b2o14bo$16bobo3b2obo4bo2bo10bo5bo9bo5bo2bo7bobobo42bob2obobob2o
4b6o2bob2obo2bob2obo10bobo41bo$16bob2o3bobo10bo2bo9bo7bo7bo4b2o3bobo2b
o2bo42b2o3bob2o4bob2obo3bo2bo4bo2bo11bob3o12bobobobo17bobo27b2o4b2o$
21bobo8b3obobo6b2o2b2o5bo2bob2o9bo2bob3obobo42b2o3bob2o5bo2bo28bo2bo
12b2o3b2o21bo$18b4obobo10bo6bobobo3bo5bo2bobo6bob2o9bo49bo58bo25bo24b
2o4b2o$17bo6b2o5bobo4bo5bo5bo5b2o10bo8b2ob2o90bobo$17b2ob2o8bo3bo4bo
151bo$191bo2$33bo24bo$16b2o2bo2b2o7bobo9bo5bo6bo15bo5b2o$16bo4bo2bo7bo
10bo5bobo3b3o2bo7b2o2bo9bo$18bob3o8b3obo8b2ob3o8bobo18b2o$17b2o10bo5b
3o7bo7bo2b3ob2o4bob3o9bob2o2bobobo42b2o3b2o$16bobo3bobo3bo2bo3bo2bo6bo
3bo4b2ob3o2bo3bobobobo5bobo7bobo43b2ob2o140b6o$22b2o5b3o5bo11bo5bobo
10b3obo5bobobo2b2obo43bobobobobo139b4o$18b3obo8bob3o9b3ob2o4bo2b3o27b
2o42bo7bo$16bo2bo4bo9bo8bobo5bo6bo7bo2b2o15bo49bo$16b2o2bo2b2o7bobo9bo
5bo6bo7bo22b2o44bo3bo141b4o$33bo245b6o$133bob3obo$136bo$19bo15b2o17b2o
3b2o16bo55bo2bo2bo97bobobo7bobobo$18bo15bobo7b2o8b2o3b2o15bo12b2o33b2o
21b2o88bobobo7bobobo27b2o$17bob2o12bo10bobo7b2o3b2o9bo17bo2bo30bo6bobo
3b3o3bobo6bo91b2o3b2o5b2o24b4o$17b5o6b2ob3o2bo9bo7b2o3b2o8bo4bobo2bo7b
o2bo31b3o2bo6b5o6bo2b3o127bobo2bobo$19bo8bo5bobo19b3o9bo7bo2bo6bob2o
33bo5bo3b3ob3o3bo5bo92b2o3b2o5b2o21bo3b2o3bo$16bobobobo6bo2b3ob2o6b5o
7b3o9b2o8bo10b2o33bobo2b3ob2o3b2ob3o2bobo127bo10bo$16bobobobo7b2ob3o2b
o5bo4bo4b2o3b2o5bo3bo7b2o6bo36bo5bo3b3ob3o3bo5bo92b2o3b2o5b2o9bo4bo22b
o4bo8b4o$31bobo5bo5b2obo5b2o3b2o4bo3bo15bo2bo33b3o2bo6b5o6bo2b3o86bobo
bo23b2o2b2o4b2o4b2o4b2o4b2o2b2o8bo6b2ob2o$31bo2b3ob2o14b2o3b2o25b2o34b
o6bobo3b3o3bobo6bo86bobobo23b2o2b2o3b2obo2bo2bo2bob2o3b2o2b2o11bo5bo$
34bo19b2o3b2o63b2o21b2o86b2o10b2o5b2o9b2o2b2o3b2obo2bo2bo2bob2o3b2o2b
2o13bo7bo$31bobo99bo2bo2bo125b2o2b2o4b2o4b2o4b2o4b2o2b2o11bo5bo$31b2o
103bo98b2o10b2o5b2o9bo4bo22bo4bo8bo6b2ob2o$89bo43bob3obo136bo10bo19b4o
$74b2o13bo145b2o10b2o5b2o21bo3b2o3bo$27b2o2b2o24bo76bo3bo98bobobo7bobo
bo24bobo2bobo$22bob2o2bo14b2o8b2o3bob2o12b2o13bo46bo100bobobo7bobobo
26b4o$21bo6bo10b2o8bo3bo2b4o4b2o3bob3o2b3obo3bob3ob3obo37bo7bo140b2o$
17b5o2b3o3b4o5b2o2bobo3bobobo2bob3o2bobo3bobo6bobo3bobo5bobo37bobobobo
bo$17b5o2b3o3b4o5b2o2bobo5b2obo4b2obo10bo2bo11bobo43b2ob2o$21bo6bo10b
2o8bobobo2bob3o2bobo4b3o4b3o5b3o3b3o39b2o3b2o$22bob2o2bo14b2o4bo3bo2b
4o4b2o3bo10bo3bo9bo184b6o$27b2o2b2o20b2o3bob2o8bo8bo5bo7bo186b4o$57bo
2$280b4o$279b6o4$114bobobo37bo4bo$71bo10b2o30bobobo36b3o2b3o8b4ob4o$
50b2o9bob2o7bo10bo28b2o42b2o2b2o9b4ob4o11b2o$19bo8bobobo8b2o17bo9bobo
7bo3b2o67bo3bo2bo3bo$4bobobo9bo9bobobo8bobo4b4o7bo10bo9b2o2b2o26b2o14b
4o6bo2b2o2bo6b3o8b3o23b6o$4bobobo7bobo2b2o7bo7bo2b2o9bo6bob2o19b2ob3o
40b4o9b2o10b3o6b3o8b5o10bo2b2o2bo$9b2o5b2o2bo7bo3bo5b2o2bo7b2obo6bo11b
2obo6b3ob2o24b2o14b4o6bob4obo27b5o10bobo2bobo$21b2o5b2ob2o4bobo10bo12b
o7bo3bo8b2o2b2o24bobobo9b4o8b4o29b5o8bobo6bobo$9b2o27b2o13bo8bobo8b2o
9b2o3bo24bobobo9b4o9b2o10b3o6b3o8b5o8bobo6bobo$52bo9bobo21bo25b2o5b2o
7b4o20b3o8b3o22bobo2bobo43bobobo6bobobo$9b2o75b2o65bo3bo2bo3bo23bo2b2o
2bo43bobobo6bobobo21b2o15b2o$4bobobo103b2o5b2o35b2o2b2o9b4ob4o9b6o49b
2o9b2o$4bobobo146b3o2b3o8b4ob4o94b2o2b2o11b2o2b2o$9b2o101b2o5b2o35bo4b
o29b2o51b2o9b2o6b2o9b2o2b2o11b2o2b2o$17b2o5b2o88bobobo147b2o$9b2o5bo2b
o6bo24b2o5b2o29bo24bobobo125b2o9b2o7b2o9bo2bo12bo3bo$15bo2bo2b2o4bo23b
o7bo12b2o14bo150bobobo6bobobo9b2o13bo2bo6bo3bo$9b2o4bo5bobobobo7bo13b
2o2b2ob2o2b2o23bo153bobobo6bobobo11b2o$4bobobo9bo2b2o3bo9bob2o4bo4bo4b
3o4bo10b4o7b4o57bo6bo25b2o58b2o9b2o13b2o13b2o2b2o4b2o2b2o$4bobobo8bobo
20bo2bo7bo3bo3bo11bo10bo2b3o55bo8bo9b2o13b2o99b2o2b2o4b2o2b2o$17b3o3b
3o11b2ob2o9b2o5b2o12b2o7bobo2bo54bo12bo6bo2bo12b2o13bo3bo40b2o9b2o$23b
obo10b2o3bobo8b2o3b2o10bo3bo7bo2bobo33b8o13b2o10b2o22b2o15bo85b2o8b2o$
16bo3b2o2bo10bo7bo7b2o5b2o6bobobo9b3o2bo34b16o8b8o7b2o4b2o4b14o6bobobo
bo39b2o9b2o$15bobobobo5bo7bobo3b2o8bo3bo3bo6bobob2o9b4o43b8o5b2o10b2o
4bobo2bobo4b14o6b2o3b2o41bobobo6bobobo$15bo4b2o2bo2bo9b2ob2o7bo4b3o4bo
6bo13bo58bo12bo7b2o7b14o54bobobo6bobobo$16bo6bo2bo8bo2bo10b2o2b2ob2o2b
2o6bo10bo63bo8bo7bo4bo5b14o8bobo$17b2o5b2o8bo4b2obo8bo7bo18bo65bo6bo
25b2o15bo$43bo7b2o5b2o117b2o$177b2o$177b2o$239bobobo$50b2o12b2o2b2o
169bobobo5b2o5b2o$14bobobobo6b2o8b2o12bo13bo2bo108b2ob2o62b2o$14bobobo
bo5bo2bo3bo3bobo2b2o8b2obo9bob3o108bobo68b2o5b2o$15bo3bo6bobo3bo5b2o3b
o5bob2o5bo2bobo3bo4bo11bo4b2o56b3o7b3o5b2o9bo5bo61b2o18b2o5bobo21b4o$
27bo2bo10bo9b2ob2ob2o2b3o3bo2b3o7bo3bo4bo2bo34bo4bo8b3o6bo5bo8b2o8bo7b
o65b2o5b2o6b2o5b2obo$16b3o10bo10bo8bo4b3o6b3o13bo2b3o2bo2b2o35bo4bo7bo
4bo15bo3b2o6bo11bo58b2o5bobobo8b2o30b2o$16bobo12b2o5bo3b2o5b3o4bo11b3o
8b2o2bobobo39bo4bo32b2o6b2o9b2o53bobobo7bobobo8b2o6bobo17bo8bo$17bo10b
o2bobo4b2o2bobo2b2ob2ob2o6b3o2bo3b3o6bo2bo4bo40bo2bo13bo4bo5bo4bo3b2o
9b7o56bobobo12b2o34bobo4bobo$27bo4b2o9b2o2bo5b2obo4bo4bo3bobo7bo5b2o
37bo8bo5bo6b3o7b3o5b2o6b2o9b2o51b2o29bobo21bobo4bobo$50bob2o10b3obo55b
o10bo5b3o21b2o6bo11bo90b2o8bo5bo8bo$54bo10bo2bo96b2o8bo7bo53b2o17b2o
10bob2o6bo8bo8b2o$54b2o8b2o2b2o106bo5bo20b3o63bobo5b2o9bo$178bobo25bo
30b2o17b2o37b4o$177b2ob2o57bobobo$16bo6bo3b2o97bo14bo97bobobo12b2o$15b
o5bo5bo37b2o3b2o4b2o5b2o3b2o36bo14bo15b2o32bo2bo11bo$14bo6bobobo2b3o9b
2o3bo4bo3bo20bo114bo4bo7b3o$18b2o5bo5bo7bo5b2o3bo2bobo9b2o3b2o3b2obo4b
2o3b2o34bo3bo10bo3bo11bo4bo29bo4bo3b2o$14b2obobobobobob2ob2o7b5ob2ob3o
2bobo7bo3b3o3bob4o2bo3b3o3bo31bo5bo8bo5bo9bo6bo11b2o2b2o2b2o7bo4bo3bo$
15bo3bobobobobobo9b2obobobo2bobo12bo2b3o2bo2bo2bo3bo2b3o2bo32bobobobo
8bobobobo9bobo2bobo38bo38bobobo7bobobo$14bo2bobo6bo3bo11b2ob2obo5b4o6b
o2b3o2bo2bo2bo3bo2b3o2bo30bobo2bo2bobo3b2obo2bo2bob2o3b2obo2b2o2bob2o
8b2o2b2o2b2o17bo2b2o34bobobo7bobobo$14bo2bobo25b2o16bo3b3o3bob4o2bo3b
3o3bo29bobo2bo2bobo6bobobobo9bobo2bobo10bo2bo4bo2bo12bob2ob2obo39b2o3b
2o$41bo3bo10b2o7b2o3b2o3b2obo4b2o3b2o33bobobobo8bo5bo9bo6bo11bobo4bobo
13b2o2bo$40bo34bo47bo5bo9bo3bo11bo4bo14bo4bo19bo43b2o3b2o$65b2o3b2o4b
2o5b2o3b2o34bo3bo42b4o2b2o2b4o16bo3bo4bo$141bo15b2o41b2o3bo4bo33b2o3b
2o13b3o$43b2o5bo75bo14bo31b2o2b2o2b2o12b3o7bo4bo28bobobo7bobobo8bob2o$
40b2o2bo4bobo74bo67bo11bo2bo29bobobo7bobobo9b2obo$16b2o3b2o16bob3o2bo
2bob2ob2o181b2o10b2o5b2o8b3o$36bo4bobo2bo8bo11b2o$16b7o9bo2bo2bo7b3o2b
3o6bobo8bobo7bo8bo103bo42b2o10b2o5b2o$14b3o2bo2b3o7b4ob3o2bo4bo2b3o7bo
bo8bobo8b2o4b2o105b3o$14b2ob2ob2ob2o7b3o5bobo9b2o8bobob2obobo7b3ob2o2b
2ob3o144b2o10b2o5b2o$14b2ob2ob2ob2o7b4ob3o2bo4bo2b3o9bobo4bobo58bo2b2o
2bo101bobobo7bobobo$14b3o2bo2b3o7bo2bo2bo7b3o2b3o10bob2obo11b3o4b3o42b
2o104bobobo7bobobo$16b7o13bo4bobo2bo8bo6bobo4bobo8bo10bo41b2o$39bob3o
2bo2bob2ob2o6bobo4bobo9bo8bo39b3o2b3o$16b2o3b2o17b2o2bo4bobo$43b2o5bo
77bo$128bo2bo$126b2o3bo107bobobo7bobobo$239bobobo7bobobo$121bo2bo119b
2o3b2o5b2o13bo$87b2o35bo2b2o143bo$86bo2bo34bo119b2o3b2o5b2o13bob2o8b3o
$17b2o5b2o7bob2o16bo33b2o32b3o144bo5bo$16bo2bo3bo2bo3bo2b3o6b2o2bo7bo
7b2o10bo12b2o32b3o120b2o3b2o5b2o11bo14bo$16b3obo4bobo2bo2bo3b3o5bobob
2o4b2ob2o4bo8bob2o7bo6bo32bo114bobobo7bobobo14bo$15bob2o5bo3bobo8b7o4b
o2bo2b2o4bobo9bob2o6b3o2b3o32bo114bobobo7bobobo9bobo3bo11bo$12b4o6b2o
2bob3o8b2obob2obob6o4bo2bo8b2o2bobo8bo2bo31bo2bo112b2o10b2o5b2o8bo15bo
3b2o$12b4o4b2obobob4o2bo5b2obo2b2o8bobo4b2o6bobo3bobo7bo2bo177bo17bob
2o$12b4o4b2obobob4o2bo5b2obo2b2o8bobo4b2o6b2o5bo8bo2bo147b2o10b2o5b2o
9b2o16bo2bo$12b4o6b2o2bob3o8b2obob2obob6o4bo2bo11b2o8b3o2b3o$15bob2o5b
o3bobo8b7o4bo2bo2b2o4bobo8bobo8bo6bo145b2o10b2o5b2o$16b3obo4bobo2bo2bo
3b3o5bobob2o4b2ob2o4bo8b2o12b2o150bobobo7bobobo$16bo2bo3bo2bo3bo2b3o6b
2o2bo7bo7b2o23b2o150bobobo7bobobo$17b2o5b2o7bob2o16bo32bo2bo$87b2o3$
205b2o$203bo4bo2$171b2o3b2o6b2o3b2o10bo8bo$113bobobobo82bob4obo$48bo
25b2o2bo34bobobobo13bobo17bo2bo42bo4b4o4bo$48bo23bo4bobo40b2o5bo5bobo
5bo5bo5bo2bo5bo10bobo10bobo11bo10bo$2o5b2o7b2o4bobo21b2ob2o11bo10b2o2b
o2bo46bo3bo5bo3bo5bo3bo6bo3bo9bobobo8bobobo7bo16bo$16bo7bo4b2o6b2o7b2o
b2o7bo5b2o5bobo2bobo2bo38b2o8bobo3bobo11bobo4bobo13bobo10bobo11b2o3b2o
3b2o$2o5b2o8b2o5bo3bo3bo3bob2o6b2ob2o6bo2bobo2bo5bo5bob2o50bo5bo13bo6b
o11b2o5b2o4b2o5b2o4bo3b2o2bo2bo2b2o3bo$18b2o3b2o3bo2b2o3b2ob2o5b2ob2o
6b2o5bo9bo3bo38b2o12bo5bo13bo6bo37bo3b2o2bo2bo2b2o3bo$2o5b2o37b2ob2o9b
o11b2obo5bo48bobo3bobo11bobo4bobo23b2o5b2o8b2o3b2o3b2o$2bobobo41bo22bo
2bobo2bobo35b2o8bo3bo5bo3bo5bo3bo6bo3bo7b2o5b2o7bobo8bo16bo$2bobobo41b
o23bo2bo2b2o47bo5bobo5bo5bo5bo2bo5bo10bobo9bobobo10bo10bo$7b2o64bobo4b
o33b2o17bobo17bo2bo15bobobo9bobo10bo4b4o4bo$18bo3bo32bo7bo4bo5bo2b2o
94bobo26bob4obo28bobobo6bobobo$17bobobo4bo3bo24bob2o5bo2bo46b2o85bo8bo
27bobobo6bobobo$7b2o9bobo5bo3bo4b8o6b2o5b3o7bo117b2o3b2o52b2o2b2o5b2o$
19bobo6bo6b8o4bob2obo5b2o5b3o5b2o2b2o35b2o55b2o3b2o25bo4bo91bo2b2o2bo$
7b2o9bobobo3bo3bo4b8o5b4o6b2o4b2obo6b4o127b2o36b2o2b2o5b2o47b2o$17bo3b
o4bo3bo4b8o5b4o4b3o6b3o232bob4obo$7b2o46bob2o7bo176b2o2b2o5b2o46b4o5b
2ob2o$48bo2bo3bo8bo2bo6b4o160bobobo19b32o9b2o4bo3bo$63bo4bo4b2o2b2o
159bobobo19b32o23bo$243b2o2b2o5b2o47b2o4bo3bo$302b4o5b2ob2o$243b2o2b2o
5b2o44bob4obo$19b2ob2o30bo7bo240b2o$18bo5bo30bo5bo181b2o2b2o5b2o44bo2b
2o2bo$19bo3bo12bo5bo14b3o178bobobo6bobobo$18bo5bo9bobo5bobo11b2ob2o15b
o161bobobo6bobobo$15bobobobobobobo7bo7bo6bo4bob3obo4bo4bo2bo3b2o$14bob
obobobobobobo4b2ob3ob3ob2o5bo2bo3bo3bo2bo6bobo4bo$14bo4bo3bo4bo7bobobo
bo10bo9bo9bo2b2o$18bo5bo11b3ob3o9b3o7b3o6b2obo2bo2bo79bo2bo$14bo4bo3bo
4bo23bob2o5b2obo93bo6bo$14bobobobobobobobo7b3ob3o9b3o7b3o5bo2bo2bob2o
80bo2bo$15bobobobobobobo8bobobobo10bo9bo9b2o2bo36bobobo10bo17b2o10b2o
2b2o$18bo5bo8b2ob3ob3ob2o5bo2bo3bo3bo2bo5bo4bobo35bobobo9b5o10b2obo8bo
3b2o2b2o3bo26b2o$19bo3bo11bo7bo6bo4bob3obo4bo4b2o3bo2bo32b2o5b2o7bo2b
2ob2o5bo2bo4bo7b3o4b3o9b2o6b2o7bobobo$18bo5bo9bobo5bobo11b2ob2o13bo60b
2o4bo6b2o4bob3o6b3obo7bo6bo9bo2bo$19b2ob2o12bo5bo14b3o52b2o5b2o6b2o2bo
3bo6bo34b2o4b2o8b2o$55bo5bo65b2obobob2o13bo27b3o2b3o5bobobobo$54bo7bo
49b2o5b2o6bo3bo2b2o6b2o6bo3bob3o6b3obo10b2o9b3o$114bobobo7b2o14bo4bo2b
o6b3o4b3o22b2o$114bobobo8b2ob2o2bo10bob2o6bo3b2o2b2o3bo11b2o7bo3bo$71b
o4bo3b2o30b2o5b2o9b5o8b2o14b2o2b2o25b2o$71bob4o2bo53bo26bo2bo$17bo2bo
3bo2bo2bobobo2bobobo2bobobo5bo2bo4bo2bo6bob3o3bo31b2o5b2o37bo6bo$17bo
2bo3bo2bo2b2ob2o2b2ob2o2b2ob2o5bobo6bobo10bo2b2o79bo2bo$20b2ob2o31bo2b
2o2bo15b2o31b2o5b2o119bobobo6bobobo$19bo2bo2bo6bo6bo6bo9bob4obo7b4o3b
4o32bobobo32bobo86bobobo6bobobo27bo2bo$20b5o8bo4bo6bo12bo2bo10b2o40bob
obo31bo3bo83b2o9b2o5b2o$21b3o8bo5bo7bo25b2o2bo205bo4bo$20b5o14bo6bo25b
o3b3obo50b2o19bo85b2o9b2o5b2o24b2o2b2o$19bo2bo2bo4b2ob2o12bo10bo2bo11b
o2b4obo50bo17bobobo$20b2ob2o5bobobo2b2ob2o4bo9bob4obo7b2o3bo4bo48b3o
34b2o6b2o61b2o9b2o5b2o10b2o2b2o5b2o3b2o3b2o$17bo2bo3bo2bo9bobobo14bo2b
2o2bo64bo2b2obo33bo6bo64bobobo23bo4bo3bo2bo8bo2bo$17bo2bo3bo2bo16b2ob
2o5bobo6bobo78bo2bo2bo3bo2bo2bo7b2o4b2o64bobobo21bo2b4o2bo6bo4bo$44bob
obo5bo2bo4bo2bo59b4obobo2bo7bo8bo8bo6b3o2b3o6bo2bo52b2o5b2o2b2o5b2o8bo
2b4o2bo6bo4bo$125bob2o5b2obo8b2o3bobo3b2o12b2o9b2obo82bo4bo3bo2bo8bo2b
o$127bo2bobob4o5bo8bo8bo76b2o5b2o2b2o5b2o10b2o2b2o5b2o3b2o3b2o$144bo2b
o2bo3bo2bo2bo10b2o$65b2o6b2o2bobo2bo45bob2o2bo33bo6bo10b2o50b2o5b2o2b
2o5b2o24b2o2b2o$49bobo3b2o15bo6bo3bo46b3o36bo4bo10b2ob3o49bobobo6bobob
o26bo4bo$18bo2b2o4bo23bo4b2o7b2o4b2ob2o2bo6bo44bo19bobobo12bo2bo2bo2bo
11b3o49bobobo6bobobo$14bob3o3bo3bobo6b2o3bobo6bobobo4bo6bo5b2obo6b4obo
43b2o20bo14bo8bo106bo2bo$12bo2bobo2bobo5bo8bo2bo6bobo4bob3o6bobo3b4o2b
2o2bo2bobo$15bobo2b3obobobo7b2o2bo12b3ob2o6bob2ob3ob4o3bo68bo3bo$12bo
2bo2bo4bo3bo7b2o3b2o7bo5bo9b4o3bobobo4bo2bo66bobo$14bo4b2o2bo26b2o3b2o
10bob2obo4bobo2bo$67b2o3bo3$42b2ob2o10b2o$42bo3bo12bo56bobobo$43b3o4bo
8bo2bo46b2o5bobobo$18bo2b2o4bo20bobo3b4o5bo13b2o35b2o5b2o$14bo3bo4bo2b
o12bo4bo2bob2o2b2ob7o14bo31b2o129bobobo6bobobo$13bobobob3o2bobo2b2o8b
3obo2bobobobo2bo15b2o4bo7bo28b2o5b2o56bo2bo3b2o52bobobo6bobobo$13bo5bo
bo2bobo12b3o2bo2bobo3bo2bo2b2o9bo2bo3bobo3b2obo22b2o32b4o39bo51b2o16b
2o$13bobo3bo3b3obo11b3obo2bobobobo2bo12bobo3b2o3b3ob3o28b2o5b2o8b2ob2o
6bob2obo30bo4bo4bo$14bo4b2o2bo15bo4bo2bob2o2b2ob7o7bo2bo3bobo3b2obo22b
2o20bo3bo6bob2obo9b2ob2o4b2ob2o7bo4bo3b2o49b2o16b2o$48bobo3b4o5bo7b2o
4bo7bo43bo2b3o2bo6b2o13bo8bo10bo2bo$43b3o4bo8bo2bo14bo31b2o3b2o5b2o8bo
3bo8b2o9bo16bo6bo2bo55b2o16b2o$42bo3bo12bo17b2o52b2ob2o6bob2obo11bo8bo
9bo4bo3b2o51bobobo6bobobo$42b2ob2o10b2o50b2o3b2o5b2o19bob2obo9b2ob2o4b
2ob2o7bo4bo4bo51bobobo6bobobo11b20o$143b4o39bo51b2o5b2o2b2o16b20o$13b
2o94b2o3b2o5b2o56bo2bo3b2o$14bo60b2o4b2o33bobobo117b2o5b2o2b2o$12bob2o
11b2o7bobo3b2o8bo9bo12bo6bo26b2o5bobobo$12bo3bo7bobo5bo6bo4bo8bo7bo15b
o2bo11bo145b2o5b2o2b2o$15bo8bobobo2bo4bo2bo3b2o11bobo13b2o3b4o159bobob
o6bobobo$14bo11bob2o3b6o3b2o8bo2b2ob2o2bo9bo167bobobo6bobobo$16b2o8bo
2bobo4bo11bob2ob2o5b2ob2obo7b2o13b7o$26bo2bobo4bo13b3o4bo4b3o10bo9b15o
$26bob2o3b6o3b2o4bob2ob2o5b2ob2obo8bo9b15o17b2o3b2o$24bobobo2bo4bo2bo
3b2o7bo2b2ob2o2bo11b2o13b7o$24bobo5bo6bo4bo11bobo13bo44b2o3b2o$27b2o7b
obo3b2o9bo7bo10b2o$52bo9bo29bo24b2o3b2o5b2o$131bo$117b2o3b2o7b4obo$27b
2o103bobobo$15b2o8bo4bo24b2o31bo28b2o3b2o8bob4o$18bobo4bob4o25bo30bo
49bo$16b3obo5bo15bo11bo62b2o3b2o14b2o$13bo13bo8bobo2bo11bo9b2ob2o3b2o
12bo$13bo3b3o7bo8bo4b3o11bo6bo5bo16b2o30b2o3b2o$20bo5bo9bo2bo11bobo2bo
6b10o15bo4bo$19bo5bob4o5b2o12bo5bo10bo5bo8b2obo6bo24b2o3b2o$25bo4bo17b
o3bo10b2o3b2ob2o10bo2bo2bo189b2o$27b2o19b2o3b2o25bo6bob2o188b2o$79bo4b
o194b2o$86b2o191b2o$87bo152bobobo7bobobo22b2o$17b2o2b2o13bo3bo192b2o5b
obobo7bobobo22b2o$35b7o10bobobobobo2bobobo17bo49b2o108b2o3b2o27b2o$15b
3o4b3o9bo7bo9bobobobobo2bobobo16bo32bobobo12bo2bo95b2o44b2o$14bo10bo8b
o7bo11bo3bo6bo44b2o5bobobo11bo4bo55bo4b2o44b2o3b2o27b2o$14bob8obo8bo7b
o10bo2bobo4bobobo54b2o10bo2bo11b11o15bo2b2o4bo5b2o2bo7bo30b2o44b2o$15b
o8bo27b2o3b2o2b3obo44b2o19bo3b2o3bo8b11o11bob3o3bo3bobo4bobobob2o2b2o
43b2o3b2o27b2o$17b2o2b2o14bobo12b2o3b2o2b3obo56b2o6bobo6bobo7b11o12bob
o2bobo5bo4bo4bobo35b2o5bobobo7bobobo22b2o$37bobo13bo2bobo4bobobo42b2o
17bo3bo4bo3bo6b11o8b2o2bobo2b3obobobo4bobo47bobobo7bobobo22b2o$54bo3bo
6bo56b2o5bo3bo4bo3bo6b11o12bo2bo4bo3bo5b2o4b2o35b2o3b2o10b2o5b2o20b2o$
52bobobobobo2bobobo42b2o5bobobo8bobo6bobo7b11o11bo4b2o2bo98b2o$52bobob
obobo2bobobo49bobobo9bo3b2o3bo8b11o73b2o3b2o10b2o5b2o20b2o$110b2o3b2o
17bo2bo11b11o119b2o$133bo4bo94b2o3b2o10b2o5b2o20b2o$110b2o3b2o17bo2bo
102bobobo7bobobo22b2o$135b2o96b2o5bobobo7bobobo22b2o$110b2o3b2o162b2o$
117bobobo157b2o$21bobobo2bobobo2bobobo2bobobo2bobobobobo2bobobo2bobobo
2bobobo2bobobo2bobobo17b2o5bobobo157b2o$21bobobo2bobobo2bobobo2bobobo
2bobobobobo2bobobo2bobobo2bobobo2bobobo2bobobo71b3o112b2o$23bo6bo6bo6b
o6bo3bo6bo6bo6bo6bo6bo76bo$22bo2bo2bobobo4bobo3bo2bo3bo2bobo4bobobo2bo
2bo3bo2bo3bobo4bobobo41b2ob2o34b2o$21b2o3bo3bob3o2b2o4bob2o2b2o3b2o2b
3obo3bo3b2o2b2obo4b2o2b3obo42bo5bo33bob2o19b2ob2o$21b2o3bo3bob3o2b2o4b
ob2o2b2o3b2o2b3obo3bo3b2o2b2obo4b2o2b3obo76bo27bo5bo$22bo2bo2bobobo4bo
bo3bo2bo3bo2bobo4bobobo2bo2bo3bo2bo3bobo4bobobo38bo9bo22b3o8bo$23bo6bo
6bo6bo6bo3bo6bo6bo6bo6bo6bo39bobobo3bobobo14bob2o13bobo9bo6bo9bo$21bob
obo2bobobo2bobobo2bobobo2bobobobobo2bobobo2bobobo2bobobo2bobobo2bobobo
64bob4o22bo2bo3bobobo3bobobo$21bobobo2bobobo2bobobo2bobobo2bobobobobo
2bobobo2bobobo2bobobo2bobobo2bobobo37bobobo3bobobo15b5o22b2o$131bo9bo
16bo17bo11bo3bobobo3bobobo$152b3o4bo16bobo14bo9bo$133bo5bo11bo25b2o$
134b2ob2o56bo5bo$196b2ob2o$151bo$152b3o!
Last edited by Lewis on October 30th, 2015, 8:36 am, edited 2 times in total.
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Re: 2x2?

Postby Nathaniel » March 17th, 2009, 6:40 pm

Lewis wrote:Is there much in the way of interest in the rule 2x2 (125/36)? I can't seem to find any websites or information on theis rule.
Over the last year or so, I have built up a collection of patterns (mainly oscillators) and would like to see if they are new discoveries or if they're already well-known.


Well there's interest on my end of it, but you'll indeed be hard-pressed to find much information about the rule (or pretty much any other non-Conway rule). Your oscillators probably aren't "well-known" because not much is really "well-known" with that rule (or at least well-documented online at this point). However, they are almost certainly discovered, though I wouldn't know where to find evidence of that fact. But several spaceships are known for that rule (see http://fano.ics.uci.edu/ca/rules/b36s125/), and when spaceships are known, oscillators are definitely known, at least for small periods.

Nonetheless, please feel encouraged to share here and we can add them to the LifeWiki.
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Re: 2x2?

Postby Lewis » March 17th, 2009, 6:55 pm

Here is a collection of sample patterns I have found in this rule. The majority of them were found naturally from random starting states. The lower-period patterns shown are the most interesting selected from a rather large table of pattern statistics, but almost all oscillators over P4 or so that I know are included here.
Also, is there any way to attach .rle or .lif files without having to compress them?
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The pattern collection.
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Re: 2x2?

Postby Nathaniel » March 17th, 2009, 8:27 pm

Lewis wrote:Here is a collection of sample patterns I have found in this rule. The majority of them were found naturally from random starting states. The lower-period patterns shown are the most interesting selected from a rather large table of pattern statistics, but almost all oscillators over P4 or so that I know are included here.


Wow, that's quite a nice collection! The patterns likely don't deserve their own page each in the LifeWiki, but they certainly would make for a very nice page about the 2x2 rule in general (along with the spaceships I linked to above). Feel free to create the page (and give yourself credit for the collection of oscillators, of course), or I'll get around to it at some point soon after I fix some bugs with the tool and finish up the page for the "maze" rule.

Lewis wrote:Also, is there any way to attach .rle or .lif files without having to compress them?


Unfortunately, no. One thing that you could do is save the pattern in the online database of the tool itself (load the pattern into the tool and then select Save -> Online Database) and then link to the pattern. For example, I saved that pattern under the name "2x2" and so now you can link to it as: http://www.conwaylife.com/?p=2x2&r=2x2

That's a public database though, so in theory someone could save another pattern over its name there.
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Re: 2x2?

Postby Nathaniel » March 22nd, 2009, 4:19 pm

Can I ask how you got the still life enumeration counts for the 2x2 rule? Was it just by counting by hand, or do you have some software that computes these things? I'm working on a C script that enumerates still lifes for arbitrary rules, but I won't bother finishing it up if such a script already exists out there and is easily-obtainable.
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Re: 2x2?

Postby Lewis » March 23rd, 2009, 12:03 pm

Nathaniel wrote:Can I ask how you got the still life enumeration counts for the 2x2 rule? Was it just by counting by hand, or do you have some software that computes these things? I'm working on a C script that enumerates still lifes for arbitrary rules, but I won't bother finishing it up if such a script already exists out there and is easily-obtainable.

The still life counts were found by hand, from still patterns which occured naturally from random soups.
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Re: 2x2?

Postby Nathaniel » March 25th, 2009, 2:56 pm

Lewis wrote:The still life counts were found by hand, from still patterns which occured naturally from random soups.


Kk, thanks. I've finished up the script (or at least well enough that it works). I've counted still lifes in 2x2 up until 8 cells and confirmed your counts, and there are 27 with 8 cells (you had ~25). I'll do 9 cells today or tomorrow hopefully, and I'll post the script sometime over the next day or two after I clean up the code a bit.
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Re: 2x2?

Postby Lewis » April 13th, 2009, 6:10 am

Over the past few weeks, I've found quite a few new oscillators in 2x2. However, I don't know how to add them to the collection on the 2x2 page.
I've added the collection to this post.
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Re: 2x2?

Postby Nathaniel » April 13th, 2009, 7:49 am

Lewis wrote:Over the past few weeks, I've found quite a few new oscillators in 2x2. However, I don't know how to add them to the collection on the 2x2 page.
I've added the collection to this post.


I'll add those tonight or tomorrow, thanks. The 10-cell still life count for 2x2 completed today as well (the final answer is 126, which I'll update at the same time).

Edit: Done and done.
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Re: 2x2?

Postby Lewis » April 20th, 2009, 12:56 pm

Here is the text file for the 2x2 statistics:
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Re: 2x2?

Postby H. V. McIntosh » September 30th, 2009, 8:50 pm

Lewis wrote:Is there much in the way of interest in the rule 2x2 (125/36)? I can't seem to find any websites or information on theis rule.
Maybe not so much interest at this forum but as a general proposition it has had its popularity. However, I wonder if it has been placed in an adequate theoretical setting. The origin seems to have been Margolus' billiard ball computer, but it seems to be an instance of cellular automata with "half-integer" neighborhoods. Hedlund, in his development of the topology of dynamical systems, chose one of the symbols as a reference point without noticing that there is no middle in a string of even length. Anyway, neighbors always seem to be counted from a reference cell even though abstractly the origin is not necessarily contained within the neighborhood, nor does the neighborhood have to be particularly connected. Conway Life was founded on a Moore neighborhood of radius 1, so it is the cell in the middle which evolves amidst two neighbors in all directions, even diagonally.

But what if it were two neighbors rather than three clustering around a cell? Well, it wouldn't be a cell, but the neighborhood is well defined - a 2x2 square in a square lattice. Where to put the evolved cell? In another lattice followed by alternating lattices? Or put in the interstice between the four cells? The resolution seems to be to start with an integer lattice twice as big, and use even or only odd coordinates in alternation.

The point of these questions is to claim that we really have something which could be called "Half Life" with smaller neighborhoods. It takes two generations to mesh a Moore neighborhood of radius 1/2 with one of radius 1, just as two generations with radius 1 lead to a 5x5 neighborhood of radius 2, and so on.

This is not so much a quibble as a hope that the "square root" of an automaton is easier to analyze than the original automaton. 4x4 blocks contain 16 neighborhoods and 2^16 rules of evolution, compared to the usual situation with 3x3 blocks. Unfortunately the Life rule does not factor, so it neither corresponds to two generations of a 2x2 rule nor to the composite of two different 2x2 rules. But there may be an approximate factorization, which is the point of introducing and studying rules with smaller neighborhoods in the hope of understanding Life better.

One approximation would be to examine the Hamming distance between the 3x3 Life rule and composite 2x2 rules. At least for one dimensional cellular automata, Burton Voorhees has tabulated and compared many rules. Another approach would be to look at the return map for probabilities according to composite rules, trying to find those with characteristics known to produce "interesting" automata, such as the return map for Life. Still another approach has been Wolfram's interest in "blocking" rules, which pretty much amounts to applying these ideas in reverse.

All these comments aren't going to change people's programs much, but they may be the basis for a better exposition at LifeWiki.
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Re: 2x2?

Postby iconmaster » October 2nd, 2009, 5:37 pm

While using the CA Soup Search in 2x2, I came across a diagnol line puffer that locked up the program. Sadly, I could not copy it from the page quick enough.
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Re: 2x2?

Postby Nathaniel » October 2nd, 2009, 6:12 pm

iconmaster wrote:While using the CA Soup Search in 2x2, I came across a diagnol line puffer that locked up the program. Sadly, I could not copy it from the page quick enough.


Yeah, sorry about that. It's been noticed (see this thread), and I thought that the program was better at not getting stuck on it now, but apparently not.
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Re: 2x2?

Postby Lewis » October 4th, 2009, 2:53 am

Whilst tracking the histories of polyominoes in 2x2, I found a variety of methuselahs and other interesting patterns:

5 cells, 393 generations
x = 5, y = 4, rule = 125/36
o$bobo$4bo$4bo!

6 cells, 695 generations
x = 6, y = 3, rule = 125/36
5bo$o4bo$b3o!

Dies out completely in 53 generations (highest recorded)
x = 4, y = 4, rule = 125/36
bo$3o$ob2o$3bo!

I've so far checked everything upto and including heptominoes, and about 1/3 of all octominoes.

I've also noticed that nearly all still lifes (except the one below):
    - are a chain or loop of cells
    - are made up of several islands, all of which are shorter chains of cells.
This is probably due to the fact that there is survival on 1 (for the ends of chains) and 2.
The smallest exception is the following 8-cell still pattern:
x = 4, y = 4, rule = 125/36
bo$b3o$3o$2bo!
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Re: 2x2?

Postby Eylrid » October 9th, 2009, 3:35 am

That's a nice set of oscillators there!
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Re: 2x2?

Postby Lewis » December 31st, 2009, 5:32 am

New P4 oscillator:
x = 6, y = 7, rule = B36/S125
b2o$2bo$ob2o$o3bo$3bo$2bo2bo$5bo!


A reaction which creates a 17-cell still life (the largest size I've seen to occur naturally)
x = 4, y = 14, rule = B36/S125
o2bo$obo$o2bo9$b2o2$b2o!


I'm hoping the statistics on http://www.conwaylife.com/soup/census.asp?rule=B36/S125 will be updated soon, as my own set of results have revealed some new oscillators, and a census the size of the one on this site will likely have many new discoveries in the rule.
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Re: 2x2?

Postby Lewis » February 10th, 2010, 1:40 pm

2 new c/3 orthogonal spaceships:
x = 39, y = 30, rule = 125/36
8bo9bo4b2o$6b4o7b2o2bo3bo4b2o$7bobobo8bobo5bo2bo2b2o$5bo6b4o4b
obobo2b3o3bo2bo$2bo3b2ob2o5b4ob3o3bo2bobo4bo$o4bo17bo9b2o$b2o
23bo3bo7bo$2b2o20bobo9bobo$b2o23bo3bo7bo$o4bo17bo9b2o$2bo3b2o
b2o5b4ob3o3bo2bobo4bo$5bo6b4o4bobobo2b3o3bo2bo$7bobobo8bobo5b
o2bo2b2o$6b4o7b2o2bo3bo4b2o$8bo9bo4b2o7$14b2o9bobo$10b3o5b3o$
8b2o4bobob2o4bo2b2o$8b5o4b2o4b2o2b2o$3b2o3b3o9bob3o2b2o$bo2bo
3b2o10bo3bo2b2o$3bobobo12bob2o$6bo12b3o3bobo$2bo2bo14bo!


New c/4 orthogonal ship:
x = 20, y = 8, rule = 125/36
9bo4bo$b2o5b4o3bo$o4b2o3b2o2bobo$b3o3b3o3bo2bo$obobo4bo4bo3bo
$4bo2bob3o2bo3b2o$11b2ob3ob2o$17b2o!


EDIT: 3 new P8s:
x = 41, y = 14, rule = 125/36
4bo4bo$5bo2bo$6b2o$4bo4bo28b2o$o2bobo2bobo2bo5b2o6b2o$bo2bo4b
o2bo9bo2bo11b2obo$2bo8bo23bobo2bo$2bo8bo8b2o4b2o11bo$bo2bo4bo
2bo10b2o9b2o$o2bobo2bobo2bo18bobo$4bo4bo13b2o7bo3bo$6b2o26b2o
$5bo2bo$4bo4bo!
User avatar
Lewis
 
Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Re: 2x2

Postby Lewis » July 21st, 2010, 6:35 am

I've found a P24 oscillator, a period for which there are no other oscillators known (except maybe 2x2 block oscillators):
x = 17, y = 9, rule = B36/S125
9b2o$4o4bo$4o$10b2o2$5b2o$13b4o$8bo4b4o$6b2o!

It's minumum population is 26 cells.


Here's my full oscillator collection so far:
x = 277, y = 175, rule = 125/36
3b2o230bo4bo$236bo2bo$6bo86bo4bo95b2o27bo13b2o$6bo86bo4bo63bo
2b2o37b3o13bo3bo10bo4bo28b2o$68bo6bo85bobo4bo23bo4bo6bo5b2o6b
3o3bo6bo2bobo2bobo2bo5b2o6b2o$3b2o34b2o28bo4bo20b2o7b2o5bobo20b
5o13bo7bo2bo2b2o24bo4bo7bob3obo5bo6b2o6bo2bo4bo2bo9bo2bo11b2o
bo$25b2o14bo5b2ob2o2b2o8b2o5bo33b2o4bo6b2o6b2o6b5o7bo3b2obo5b
o2bobo2bobo35bo5bo21bo8bo23bobo2bo$bo5b4o3b2o3b2o4bobo5b3o4bo
bo4bo3bo2bobo8bo4b3o25bo8bo3bo4bo3bo4b2obo3b2o5b2o4bo7bo6b2ob
o5bo24b2o9bo3bo23bo8bo8b2o4b2o11bo$bo5b4o4bo5bo6bo3bobobo4bo6b
obo6b2o3b3o6b3o24bo7b2o3b2o3b2o2bo3b2ob2o5b5o6bob2o3bo9bo3bo36b
o5bo8b2o6bo5bo2bo4bo2bo10b2o9b2o$13b2o3b2o7b2o3bobobo5b2o5bo4b
obo5b3o7bo61b5o7bo12bo5bob2o23bo4bo5bob3obo9bo3b3o5bo2bobo2bo
bo2bo18bobo$3b2o43b2o4b2o5bo7bo4bo23bo60bobo2bobo2bo22bo4bo5b
2o5bo8bo3bo11bo4bo13b2o7bo3bo$61b2o5bo6bo22bo62b2o2bo2bo39b3o
9bo16b2o26b2o$160bo4bobo26b2o40bo2bo$106bo2b2o14b4o14b2o6bo4b
o5b2o2bo68bo4bo$11b4o5b2o83bo2bobo3bo3bo6b4o14bobo6bo2bo$11b4o
5b2o10b2o38b2o34b2o4b2ob2o6b4o7bo2bo5b2o6bo$3b2o15b2o11bo2b2o
b2o2b2o9b2o3b2o2bo10bo3b2o2b2o2bo19b2o7bobo7b4o18bo4b3o6bo4bo
$3bob2o13b2o8bobo3bo3bo2bo9bo2bo2bobobo5bob3o4bobobobobo18bob
o2bo3b2ob2o6b4o6bob2obo6bo4bob2o5b2o2b2o$5bobo5b4o5b4o2bobo6b
3o4b3o7bo6bo6bo2bo8bo3bo20b2o2bo4bo3bo6b4o6bo4bo4b2o5b3o7bo2b
o$7bo5b4o5b4o5bo15bo4bobobo2bobobo5b2o7bobobobobo38b4o7b4o3bo
bo7bo8bo2bo$4bobo23b2o4b2ob2o5b2o4bo2b2o2bo2b2o14b2o2b2o2bo38b
4o14b2o7bo2bo5b2o2b2o31b2o39bo4bo$4b2o145bo4bo4bo4bo26bo28b2o
15bo4bo$193bo2bo4bo19b4o$196bo4bo7b2ob2o6bob2obo13bo4bo7b2o$67b
2o3b2o119bo17bo8bo4bo13bo4bo10b2o$34b4o29b2o3b2o33b2ob2o30bo7b
o42bo2bo4bo5bo7bo6b2o31b2obo$7b2obo5b2o16b4o7b2o20b2o3b2o32bo
bobobo30bo5bo46bo4bo9bo10b2o15bo4bo10bo3bo$8bobo6bo6bo2bo4b2o
4b2o5bo7b2o5b2o5b2o3b2o32b2o3b2o11bo5bo15bo46bo15b2ob2o6bo4bo
13bo4bo11bob2o$8b2o4b4obo5b3o4b2o4b2o3b2o3bo5bo2bo2bo8b3o35b2o
b2o10bobo5bobo12b3o14bo30bo2bo4bo18bob2obo32b2o$4bo2b2o5bob4o
4b3o5b2o4b2o3bo3b2o4bo2bobo2bo5b2o3b2o29b2o3b3o3b2o7bo7bo6bo4b
3ob3o4bo4b2o3bo2bo28bo4bo19b4o14bo4bo16b2o$4b5o7bo7bo2bo4b2o4b
2o6bo7bo2bo2bo6b2o3b2o28bob2o3bo3b2obo4b2o3b3o3b2o5bo2bo2b3o2b
o2bo5bo4bobo26bo28b2o15bo4bo$6bo9b2o16b4o7b2o6b2o5b2o5b2o3b2o
28b2ob2o5b2ob2o8b2ob2o12bo7bo10b2o2bo27bo4b2o$4b2o28b4o29b2o3b
2o32b2o3b2o11b7o10b3o5b3o6bo2bo2bob2o$102b2ob2o5b2ob2o7bobobo
bo9b2obo5bob2o$102bob2o3bo3b2obo7b7o10b3o5b3o7b2obo2bo2bo$103b
2o3b3o3b2o9b2ob2o12bo7bo10bo2b2o$8b2ob2o5bo4bo3bo4bo5bo26b2ob
2o37b2ob2o9b2o3b3o3b2o5bo2bo2b3o2bo2bo6bobo4bo$4b2o6bo6bo4bob
o4bo3bobobo8b2o4b2o8bo41b2o3b2o10bo7bo6bo4b3ob3o4bo4bo2bo3b2o
$4bobob4o9bo10b2o2b2o5bobobo6bobo6bobob3obo34bobobobo9bobo5bo
bo12b3o16bo45bo2bo14b5o$6bobo10bobob3o7bo9bob5o6bobo4bo2bo2bo
bo35b2ob2o12bo5bo15bo46bo4b2o9bob2obo13b5o$4bobo3b2obo4bo2bo10b
o5bo5b2o2bo5bo2bo7bobobo73bo5bo43bo16bo2bo12b2o5b2o$4bob2o3bo
bo10bo2bo9bo7bo2b2o3bo4b2o3bobo2bo2bo70bo7bo50bo7bob2obo11b2o
5b2o$9bobo8b3obobo6b2o2b2o5b5obo9bo2bob3obobo121bo7bo4bobobo2b
obobo8b2o5b2o33bo4b2o$6b4obobo10bo6bobobo3bo6bobobo6bob2o9bo122b
o11bobobo4bobobo7b2o5b2o14bo2b2o4bo5bo4bo2bo3bo$5bo6b2o5bobo4b
o5bo5bo5b2o10bo8b2ob2o89b2o3bo4bo28b2o6bobo6bobo8b2o5b2o10bo3b
o4bo2bo2bo4b2o2b4ob2o$5b2ob2o8bo3bo4bo133bo2b4obo23bo12bobo6b
obo8b2o5b2o11bobob3o2bobo4bo2bo3bob2o$105b2obo3bob2o2bobobo2b
obobo2bobobo5bo2bo4bo2bo6bo3b3obo24bo2bo8bobobo4bobobo7b2o5b2o
7b2o6bobo2bobo2bo4b2o5bo$105bob2o3b2obo2b2ob2o2b2ob2o2b2ob2o5b
o3bo2bo3bo6b2o2bo31bo9bobobo2bobobo8b2o5b2o11bo3bo3b3obo5bo5b
2o$21bo24bo60bobobobo32b4o10b2o31bo15bob2obo11b2o5b2o10bo4b2o
2bo$4b2o2bo2b2o7bobo9bo5bo6bo15bo5b2o38bo2bo2bo6bo6bo6bo9bo6b
o7b4o3b4o23bo4b2o10bo2bo12b2o5b2o$4bo4bo2bo9bo8bobo5bo3b3o2bo
7b2o2bo9bo37b2ob2o6bo8bo6bo9b6o16b2o40bob2obo13b5o$6bob3o8bob
3o9b3ob2o7bobo6bo2bo8b2o51bo7bo5bo29bo2b2o41bo2bo14b5o$5b2o10b
3o5bo11bo3bo2b3ob2o4bobob2o8bob2o2bobobo29b2ob2o14bo6bo25bob3o
3bo$4bobo3bobo3bo2bo3bo2bo6bo3bo4b2ob3o2bo3bo5bo5bobo7bobo28b
o2bo2bo4b2ob2o10bo11b6o8bob4o2bo$10b2o5bo5b3o7bo9bobo9b2obobo
5bobobo2b2obo30bobobobo4bobobo2b2ob2o4bo9bo6bo7bo4bo3b2o$6b3o
bo8b3obo8b2ob3o5bo2b3o7bo2bo16b2o27bob2o3b2obo9bobobo16b4o$4b
o2bo4bo7bo10bo5bobo6bo7bo2b2o15bo30b2obo3bob2o16b2ob2o5bo3bo2b
o3bo$4b2o2bo2b2o7bobo9bo5bo6bo7bo22b2o54bobobo5bo2bo4bo2bo$21b
o$157b2o6b2o3b2o2bo$142b2o3b2o16bo9bo18bo2bo4bo33bo4b2o$7bo15b
2o17b2o3b2o16bo44bo2b2o4bo21bo5bo9b2o3b2o2b4obo5bo16bo2bo4bo33b
o15b2o$6bo15bobo7b2o8b2o3b2o15bo41bo3bo4bo2bo2bo5b2o2bobo11b3o
b2o8bo2b2o9bo4bo60bo4bo6b2ob2o$5bob2o12bo10bobo7b2o3b2o9bo46b
obobob3o2bobo7bo6bo5bobo4bob3o4bo2b2o4bo9bobobo15bo4b2o9b2o6b
o17bo2bo4bo7bo3bo$5b5o6b2ob3o2bo9bo7b2o3b2o8bo4bobo2bo37bo5bo
bo2bobo2bo4b2o2bo2bo7bobobo4bo7b3o3bo2bob3o3bobo16bo16bo7bo16b
o16b2ob2o$7bo8bo5bobo19b3o9bo7bo2bo37bobo3bo3b3obo7b2o3b2o9bo
4b2o7bob2o2bob2o2b2o4bo26bo5bo3bo31bo6bo2bo2bo$4bobobobo6bo2b
3ob2o6b5o7b3o9b2o8bo39bo4b2o2bo25bobo3b2o10b2o4bo3bo4bo19bo7b
o5b2obo9b2o13bo7bo6b2ob2o$4bobobobo7b2ob3o2bo5bo4bo4b2o3b2o5b
o3bo7b2o91bob2obo29bo15bo9bobo13bo15bo3bo$19bobo5bo5b2obo5b2o
3b2o4bo3bo161bo24bo8b2ob2o$19bo2b3ob2o14b2o3b2o145bo7bo33bo7b
o10b2o$22bo19b2o3b2o85b2ob2o10b2o43bo7bo33bo$19bobo112bo3bo9b
o$19b2o114bobo3b2o4b2ob2o2bo$110bo2b2o4bo16bo3bo2bo2bo2b2o4bo
13b2o$106bob3o3bo3bo12bo2bobobo2b3o3b2o2b4o15bo$15b2o2b2o24bo
58bo2bobo2bobo6b2o9bo2bo6bo19bo7bo4b2o$10bob2o3bo13b2o8b2o3bo
b2o57bobo2b3obobo10bo3b2o3b2o2b3ob3o2b2o8bob2o3bobo3bo2bo$6b2o
2b2o2b4ob2o6b2o8bo3bo2b4o4b2o50bo2bo2bo4bo3bo12bo2bo6bo19b3ob
3o3b2o3bobo$6b2o2bo2bobobob2o6b2o2bobo3bobobo2bob3o2bobo52bo4b
2o2bo15bo2bobobo2b3o3b2o2b4o6bob2o3bobo3bo2bo16b2o5b2o$6b2o2b
o2bobobob2o6b2o2bobo5b2obo4b2obo85bo3bo2bo2bo2b2o4bo6bo7bo4b2o
58b2o4bo4bo$6b2o2b2o2b4ob2o6b2o8bobobo2bob3o2bobo81bobo3b2o4b
2ob2o2bo15bo26bo6bo36bo4bo12bo$10bob2o3bo13b2o4bo3bo2b4o4b2o80b
o3bo9bo20b2o26bo6bo7bo25bo11b4o4bo2bo$15b2o2b2o20b2o3bob2o84b
2ob2o10b2o58bo2bo25bo4b2o5b4o7bo$45bo148b2o5b2o5b2o50bo$208b2o
25b2o9bo$107b2o83bo6bo9bo2bo33bo9bo$192bo6bo12bo20bo21bo7b4o$
2o104bobo13bo8bobo2b2o8bo9bo76bo21bo2bo4b4o$62bo10b2o31b3obo7b
ob2o3bo5bo3bo11bo7bo38b2o5b2o43bo10bo$3bo37b2o9bob2o7bo10bo34b
2o7bobob2o2bo4bo3b2o13bobo82b2o9bo$3bo6bo8bobobo8bo19b2o7bobo
7bo3b2o31bob2o12bo4bo2bo3b2o6b2o4bobo4b2o$9bo9bobobo7bob2o4b4o
7bo2bo7bo9b2o2b2o34bo9bo4bo2bo13bo15bo$2o5bobo2b2o7bo7b3o2bo8b
o6b3o9b4o7b2ob3o42bo4bo2bo13bo2b2ob5ob2o2bo$7b2o2bo7bobobo4bo
2b3o7bo2bo9bo8b2obo6b3ob2o45bo4bo2bo3b2o5bo15bo$3bo8b2o5b2ob2o
4b2obo9bo20bo2bo9b2o2b2o37bobob2o2bo4bo3b2o7b2o4bobo4b2o$3bo26b
o13bo8bobo8b2o9b2o3bo37bob2o3bo5bo3bo14bobo$43bo9bobo21bo44bo
8bobo2b2o9bo7bo$2o75b2o67bo9bo2$194b2o5b2o2$8b2o5b2o180bobo$7b
o2bo6bo24b2o5b2o29bo116bobo10b2o$6bo2bo2b2o4bo25bo3bo14b2o14b
o132bo$6bo5bobobobo7bo13bo3bo3bo3bo24bo23b2o91b2o5b2o7bo$9bo2b
2o3bo9bob2o4bo4bo3bobobo3bo10b4o7bob3o32b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3bo2bo46b2o$8bobo20bo2bo6b3obobob3o10bo13b2o
21bo10bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bob2obo26bo6bo4bo$8b3o3b3o
11b2o2bo11bo3bo15bo7bob2o23bo12bo4bo4bo4bo4bo4bo4bo4bo4bo4bo2b
6o26bo6bo4bo$14bobo10bo4bobo8bo5bo10bo3bo9b2obo34bo4bo4bo4bo4b
o4bo4bo4bo4bo4bo$7bo3b2o2bo10bo7bo9bo3bo8bobo12b2o27b2o7bo4bo
4bo4bo4bo4bo4bo4bo4bo4bo38b2o5b2o$6bobobobo5bo7bobo4bo7b3obob
ob3o5bobob2o8b3obo35b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
o2bo$6bo4b2o2bo2bo9bo2b2o7bo3bobobo3bo6bo12bo31bo55bob2obo7b2o
$7bo6bo2bo8bo2bo10bo3bo3bo3bo6bo10bo33bo4b4o47b6o9bo$8b2o5b2o
8bo4b2obo10bo3bo20bo38bob2obo59bo$34bo7b2o5b2o50b2o5bob2obo56b
o2bo$110b2o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo8bo4bo$110b2o3bob2ob
ob2obob2obob2obob2obob2obob2obob2obob2obob2o9b2o$109b4o2bob2o
bob2obob2obob2obob2obob2obob2obob2obob2obob2o$41b2o12b2o2b2o47b
ob2obobob2obob2obob2obob2obob2obob2obob2obob2obob2obob2o$5bob
obobo6b2o8bo11bo67bob2obobob2obob2obob2obob2obob2obob2obob2ob
ob2obob2obob2o$5bobobobo5bo2bo3bo4bo3b2o5b2o2bo2b2o5bobo2bobo
48b2o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo$6bo3bo6bob2o2bo6b2o2bo6b3o
2b2obo2bo4bobo3bo11bo4b2o28b2o$18b4o8b3o9b5o2bo2bob6obobo7bo3b
o4bo2bo118b2o$7b3o10b3o8b3o6bobo2b2o9bo2b2o9bo2b3o2bo2b2o111b
2o32bo2bo$7bobo11b2o6bo2b2o7b2o2bobo7b2o2bo10b2o2bobobo121bo4b
o21bob2obo$8bo10bo3bo5b2o3bo3bo2b5o6bobob6obo6bo2bo4bo113bo7b
o4bo7b2o2b2o7bobo2bobo$18bo5bo10bo2bob2o2b3o5bo3bobo4bo7bo5b2o
91bo21bo18bo3b2o8bobo4bobo$39b2o2bo2b2o6bobo2bobo109bo28bo4bo
20bo6bo$47bo120b2o24b2o4bo4bo20bo6bo$45b2o8b2o2b2o51b2o3bo2bo
7bo39bob2o39bo3b2o8bobo4bobo$111bo4bob2obo4b2obo3b2o6b2o6b2o8b
2o9b2o20bo4bo2bo4bo7b2o2b2o7bobo2bobo$113bo2b6o4b2obo3b2o6b2o
6b2o8b2o9b2o20bo4bo2bo4bo21bob2obo$7bo10b2o93bo12b2obobob2obo
2bob2obo2bob2obo4bob2obo8bo56bo2bo$6bo4bob3o40b2o3b2o4b2o5b2o
3b2o30bo14b2obobob2obo2bob2obo2bob2obo4bob2obo8b2o21b2o6b2o$13b
2obo2b3o9b2o3b2o3bo3bo13bo7bo9bo34b2o3bo10bo3b4o4b4o4b4o6b4o9b
2o$4bobo3bo3bo2bo18bobo2bo4bo20bobo46bob2o21b2o6b2o20b2o$8b2o
2bobobob2ob2o7b2obob3obobob2obo8b9o3bo2bo2b9o28b4o2bob2o12b2o
7b2o5b4o4b4o12bo$6b2o2bobobobo5bo8bo2bob2o4bobo8b2obo5bob2o4b
3obo5bob2o25bob2obobob2o4bob2obo2bo7b4o3bob2obo2bob2obo11b2o$
5bo2bobo6bo3bo11bob3obo5b4o4b2obo5bob2o4b3obo5bob2o25bob2obob
ob2o4bo4bo3b2o4bob2obo2bob2obo2bob2obo11b2o$5bo2bobo25bobo16b
9o3bo2bo2b9o29b2o4bo7bo2bo4b2o4bob2obo4b2o6b2o13b2obo$32bo3b2o
9b2o18bobo41b2o19bo8b2o6b2o6b2o15b2o$31bo27bo7bo9bo54b2o7b2o29b
o$56b2o3b2o4b2o5b2o3b2o92bo2$34b2o5bo$37bo2bo2b2o$7b2o3b2o16b
5o4bo3b4o$30bo6b3o3b2obo93b3o2b3o$7b2o3b2o9bo2b3obo3bo4b2o61b
2o39b2o$5bo3b3o3bo8bo2b5o6b2obobo99b2o$6bo2b3o2bo6bo2bo4bob3o
9bo56bo36bo2bo2b2o2bo2bo$6bo2b3o2bo9bo2b5o6b2obobo56bo36bo12b
o$5bo3b3o3bo7bo2b3obo3bo4b2o83bo4bo7bo12bo$7b2o3b2o16bo6b3o3b
2obo55b2o7b8o4b3o2b3o7b3o6b3o$30b5o4bo3b4o64b8o5b2o2b2o8b3o6b
3o$7b2o3b2o23bo2bo2b2o55bo4bo19bo2bo8bo12bo$34b2o5bo58bo4bo31b
o12bo$137bo2bo2b2o2bo2bo$102b2o39b2o$143b2o$140b3o2b3o3$8b2o5b
2o7bo2b2o15b2o$14bo6bo3bobobo3b2o2bo6bobo6bo$7b3obo3b2obobo3b
o3bobo3bo3bob2o3b2o2b2obob2o$4b2o4b2o2b2o3b2o10bo2bob2o10bo2b
3obo$4b2o6b3ob2ob2o10bobo4b3o2bob2o3b4o$4b2o6b2obobob2o3bo3b2o
2bo3bo3bob2o2b8o$4b2o6b2obobob2o3bo3b2o2bo3bo3bob2o2b8o$4b2o6b
3ob2ob2o10bobo4b3o2bob2o3b4o$4b2o4b2o2b2o3b2o10bo2bob2o10bo2b
3obo$7b3obo3b2obobo3bo3bobo3bo3bob2o3b2o2b2obob2o$14bo6bo3bob
obo3b2o2bo6bobo6bo$8b2o5b2o7bo2b2o15b2o!
User avatar
Lewis
 
Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Re: 2x2

Postby Paul Tooke » August 8th, 2010, 7:22 am

My interest in this rule was piqued by reading Nathaniels article. One particular sentence stood out for me:
In fact, the c/8 wickstretcher and its slight modifications are currently
the only known infinitely-growing patterns in 2x2.

No puffers? A rule with spaceships but no puffers? Red rag, meet bull. I simply couldn't believe this possible, so I dipped my toe in the water with a couple of quick c/2 searches and came up with some. In the process, I also found some higher period c/2 spaceships, one or two of which may be useful. This stamp collection shows what I've found so far:
x = 435, y = 263, rule = B36/S125
2o6b2o34bo9bo29bo9bo28bo9bo28bo9bo30bo9bo30bo9bo30bo9bo31bo9bo32bo8bo
33bo8bo$2o6b2o32bobobob3obobobo25bobobob3obobobo24bobobob3obobobo24bob
obob3obobobo26bobobob3obobobo26bobobob3obobobo26bobobob3obobobo27bobob
ob3obobobo28bobobo4bobobo29bobobo4bobobo$41bo6b3o6bo23bo6b3o6bo22bo6b
3o6bo22bo6b3o6bo24bo6b3o6bo24bo6b3o6bo24bo6b3o6bo25bo6b3o6bo26bo5bo2bo
5bo27bo5bo2bo5bo$40b2o2bo3bobo3bo2b2o21b2o2bo3bobo3bo2b2o20b2o2bo3bobo
3bo2b2o20b2o2bo3bobo3bo2b2o22b2o2bo3bobo3bo2b2o22b2o2bo3bobo3bo2b2o22b
2o2bo3bobo3bo2b2o23b2o2bo3bobo3bo2b2o26bob2o6b2obo29bob2o6b2obo$2o6b2o
29b2ob4obo3bob4ob2o19b2ob4obo3bob4ob2o18b2ob4o3bo3b4ob2o18b2ob4obo3bob
4ob2o20b2ob4obo3bob4ob2o20b2ob4obo3bob4ob2o20b2ob4obo3bob4ob2o21b2ob4o
bo3bob4ob2o23bobo2b2ob2ob2o2bobo25bobo2b2ob2ob2o2bobo$2o6b2o29b2o5bo5b
o5b2o19b2o5bo5bo5b2o18b2o4bo2b3o2bo4b2o18b2o5bo5bo5b2o20b2o5bo5bo5b2o
20b2o5bo5bo5b2o20b2o5bo5bo5b2o21b2o5bo5bo5b2o22b2o4bo6bo4b2o23b2o4bo6b
o4b2o$36bobo3b2o11b2o3bobo13bobo3b2o11b2o3bobo14bo2b2ob2o2bobo2b2ob2o
2bo14bobo3b2o11b2o3bobo14bobo3b2o11b2o3bobo14bobo3b2o11b2o3bobo14bobo
3b2o11b2o3bobo15bobo3b2o11b2o3bobo18bob3obo8bob3obo21bob3obo8bob3obo$
35b2o2bo5bobo3bobo5bo2b2o11b2o2bo5bobo3bobo5bo2b2o12b3o2bo3b7o3bo2b3o
12b2o2bo5bobo3bobo5bo2b2o12b2o2bo5bobo3bobo5bo2b2o12b2o2bo5bobo3bobo5b
o2b2o12b2o2bo5bobo3bobo5bo2b2o13b2o2bo5bobo3bobo5bo2b2o16b3ob2ob2o6b2o
b2ob3o19b3ob2ob2o6b2ob2ob3o$2o2b2o2b2o25bobo2b2o3bo7bo3b2o2bobo11bobo
2b2o3bo7bo3b2o2bobo12b2obobo5bobo5bobob2o12bobo2b2o3bo7bo3b2o2bobo12bo
bo2b2o3bo7bo3b2o2bobo12bobo2b2o3bo7bo3b2o2bobo12bobo2b2o3bo7bo3b2o2bob
o13bobo2b2o3bo7bo3b2o2bobo16bobo2b4o6b4o2bobo19bobo2b4o6b4o2bobo$2o2b
2o2b2o27bo2bo3bo2bo3bo2bo3bo2bo15bo2bo3bo2bo3bo2bo3bo2bo15bo3bob2ob2ob
2ob2obo3bo15bo2bo3bo2bo3bo2bo3bo2bo16bo2bo3bo2bo3bo2bo3bo2bo16bo2bo3bo
2bo3bo2bo3bo2bo16bo2bo3bo2bo3bo2bo3bo2bo17bo2bo3bo2bo3bo2bo3bo2bo21bob
obo2bo2bo2bobobo25bobobo2bo2bo2bobobo$34bo2b2ob4o3bo3bo3b4ob2o2bo9bo2b
2ob4o3bo3bo3b4ob2o2bo12b7ob2obob2ob7o12bo2b2ob4o3bo3bo3b4ob2o2bo10bo2b
2ob4o3bo3bo3b4ob2o2bo10bo2b2ob4o3bo3bo3b4ob2o2bo10bo2b2ob4o3bo3bo3b4ob
2o2bo11bo2b2ob4o3bo3bo3b4ob2o2bo13bobo2bo6bo2bo6bo2bobo15bobo2bo6bo2bo
6bo2bobo$34bobo2bo3b2o9b2o3bo2bobo9bobo2bo3b2o9b2o3bo2bobo11bobo3b2o2b
5o2b2o3bobo11bobo2bo3b2o9b2o3bo2bobo10bobo2bo3b2o9b2o3bo2bobo10bobo2bo
3b2o9b2o3bo2bobo10bobo2bo3b2o9b2o3bo2bobo11bobo2bo3b2o9b2o3bo2bobo10b
4o2b4o3bob4obo3b4o2b4o9b4o2b4o3bob4obo3b4o2b4o$8b2o25bob6o2b2o5b2o2b6o
bo11bob6o2b2o5b2o2b6obo11bo2b2o2b2obo2bo2bob2o2b2o2bo11bob6o2b2o5b2o2b
6obo12bob6o2b2o5b2o2b6obo12bob6o2b2o5b2o2b6obo12bob6o2b2o5b2o2b6obo13b
ob6o2b2o5b2o2b6obo15bo3b2o3bo2b2o2bo3b2o3bo17bo3b2o3bo2b2o2bo3b2o3bo$
8b2o28bo3bo2bobo3bobo2bo3bo17bo3bo2bobo3bobo2bo3bo13bo4bob3o9b3obo4bo
13bo3bo2bobo3bobo2bo3bo18bo3bo2bobo3bobo2bo3bo18bo3bo2bobo3bobo2bo3bo
18bo3bo2bobo3bobo2bo3bo19bo3bo2bobo3bobo2bo3bo14bo6bo2bo3bo4bo3bo2bo6b
o9bo6bo2bo3bo4bo3bo2bo6bo$35bo7bobobo3bobobo7bo11bo7bobobo3bobobo7bo
12bo9b2ob2o9bo12bo7bobobo3bobobo7bo12bo7bobobo3bobobo7bo12bo7bobobo3bo
bobo7bo12bo7bobobo3bobobo7bo13bo7bobobo3bobobo7bo13bobo5bob2o6b2obo5bo
bo13bobo5bob2o6b2obo5bobo$37bobo19bobo15bobo19bobo13bob4o3bo2bobo2bo3b
4obo13bobo19bobo16bobo19bobo16bobo19bobo16bobo19bobo17bobo19bobo20bobo
5bo2bo5bobo23bobo5bo2bo5bobo$8b2o27bo5bo2bo5bo2bo5bo15bo5bo2bo5bo2bo5b
o22b2o5b2o22bo5bo2bo5bo2bo5bo16bo5bo2bo5bo2bo5bo16bo5bo2bo5bo2bo5bo16b
o5bo2bo5bo2bo5bo17bo5bo2bo5bo2bo5bo18b4obo2bob4obo2bob4o19b4obo2bob4ob
o2bob4o$8b2o27bobo19bobo15bobo19bobo13bo4bo2bo2bo3bo2bo2bo4bo13bo23bo
16bob2o17b2obo16bo23bo16bo10b3o10bo17bobo19bobo17b2ob3o3b2ob2ob2o3b3ob
2o17b2ob3o3b2ob2ob2o3b3ob2o$39bobo5b2ob2o5bobo19bobo15bobo23b4o3b4o63b
ob2o4bobobobo4b2obo69b3o30bobo15bobo19bo3b2ob2o8b2ob2o3bo17bo3b2ob2o8b
2ob2o3bo$36bobo2b2o3bo5bo3b2o2bobo13bobo2b2o13b2o2bobo19bo4bobo4bo20b
2o21b2o15b2o3b2o4bo3bo4b2o3b2o15b2o9b3o9b2o16b2o7bobobobo7b2o16bobo2b
2o13b2o2bobo19b2o2bo2bob2obo2bo2b2o23b2o2bo2bob2obo2bo2b2o$38bobobo4bo
3bo4bobobo17bobobo13bobobo54b2o21b2o14b3o3b2o4bo3bo4b2o3b3o14b2o5b3ob
3ob3o5b2o16b2o6b2o2bo2b2o6b2o18bobobo13bobobo17b3o3b3o3bo2bo3b3o3b3o
15b3o3b3o3bo2bo3b3o3b3o$34b2o3bo6bo5bo6bo3b2o9b2o3bo5bo7bo5bo3b2o17bob
2obobob2obo19bo3b3o13b3o3bo12bobo6bo11bo6bobo12bo3b3ob3obobob3ob3o3bo
14b2o8bo2bo2bo8b2o13b2o3bo19bo3b2o13bo2bo5bo2b4o2bo5bo2bo15bo2bo5bo2b
4o2bo5bo2bo$37b2o7b2o3b2o7b2o15b2o4bobobobobobobo4b2o52b3ob3ob3o5b3ob
3ob3o12bobo6b2o3b3o3b2o6bobo12b3ob3obo4bo4bob3ob3o12b2ob2o7bo2bo2bo7b
2ob2o14b2o21b2o17bo4bo14bo4bo17bo4bo14bo4bo$34bob2o7bob2ob2obo7b2obo9b
ob2o11bo11b2obo17b2o9b2o20b2o3bob3ob3ob3obo3b2o14bo4bobobo2bobobo2bobo
bo4bo14b2o2bo7bo7bo2b2o17b2o4bo9bo4b2o15bob2o23b2obo21b2o2b4o2b2o31b2o
2b4o2b2o$41bo3b2o5b2o3bo28bo5bo27bo2bobo5bobo2bo18b2o7bob3obo7b2o16bob
2o5b3ob3o5b2obo16b2o8bo3bo8b2o13bobo8bobo3bobo8bobo59b2o5b2o2b2o5b2o
23b2o5b2o2b2o5b2o$39bobobob2o2bo2b2obobobo28bobo28b2o3b2o2bo2b2o3b2o
16b2o11bo11b2o13bob3ob2o3b3ob3o3b2ob3obo12bo5bo4bo5bo4bo5bo16bob2ob2o
7b2ob2obo14b2o25bo24bo14bo27bo14bo$48bobo68bo6b2ob2o6bo15b4o21b4o12bo
2bo8bo3bo8bo2bo13bo3bobo4bobobo4bobo3bo18bobo4bo3bo4bobo17bo23b2o20bob
2o2b2o2bo2bo2b2o2b2obo19bob2o2b2o2bo2bo2b2o2b2obo$39bobo15bobo29bo31b
6o3b6o17b5o7bo3bo7b5o17bobo13bobo18bo10bobobo10bo16bo3bo4bo3bo4bo3bo
14bo24bobo16b4o4bo2b8o2bo4b4o13b4o4bo2b8o2bo4b4o$38b2ob2o6bo6b2ob2o27b
3o29b2o4b2ob2o4b2o19b2o6b2o3b2o6b2o15bobo23bobo18bo6bobo6bo21bobobob3o
bobob3obobobo16bo23b2o20bo6bo2b2o2bo6bo21bo6bo2b2o2bo6bo$38bobobo13bob
obo67bo26bob2o6b2ob2o6b2obo56b2o2b3o3bo5bo3b3o2b2o15b2obo5bo5bo5bob2o
13bobo25bo15bo28bo13bo28bo$87b2ob2o34bo3bo24bob2ob3ob2obob2ob3ob2obo
15bo25bo14b4obo4b3ob3o4bob4o19bobo5bo5bobo18b3o22bo19b2o22b2o17bobo20b
obo$87b2ob2o66bob3ob2obob2ob3obo17bobo23bobo15bo6b2obobob2o6bo18bobo5b
2o3b2o5bobo16b5o21b2obo13bo2bo20bo2bo$128bo27bo4bo3bo3bo3bo4bo17b2o24b
2o20b4o3b4o24bo2bo15bo2bo16b2o27b2o11bo2bo22bo2bo16bo22bo$165bo3bo25b
2o24b2o21bobo5bobo64bo3bo21bob2o12bo26bo16b3o20b3o$247bo3bo31bo13bo21b
o3bo22bo2bo14bo20bo$318bob3obo19bo2bo2bo53b2ob2o18b2ob2o$317b3o3b3o17b
o3bo3bo52b2ob2o18b2ob2o$319bo3bo19bo3bo3bo$345bo3bo$321bo11$2o2b2o2b2o
38bo8bo23b2o2b2o2b2o34bo9bo29bo9bo29bo9bo29bo9bo$2o2b2o2b2o36bobobo4bo
bobo21b2o2b2o2b2o32bobobob3obobobo25bobobob3obobobo25bobobob3obobobo
25bobobob3obobobo$45bo5bo2bo5bo61bo6b3o6bo23bo6b3o6bo23bo6b3o6bo23bo6b
3o6bo$46bob2o6b2obo61b2o2bo3bobo3bo2b2o21b2o2bo3bobo3bo2b2o21b2o2bo3bo
bo3bo2b2o21b2o2bo3bobo3bo2b2o$2o42bobo2b2ob2ob2o2bobo19b2o6b2o29b2ob4o
bo3bob4ob2o19b2ob4obo3bob4ob2o19b2ob4obo3bob4ob2o19b2ob4obo3bob4ob2o$
2o41b2o4bo6bo4b2o18b2o6b2o29b2o5bo5bo5b2o19b2o5bo5bo5b2o19b2o5bo5bo5b
2o19b2o5bo5bo5b2o$42bob3obo8bob3obo53bobo3b2o11b2o3bobo15bo3b2o11b2o3b
o15bobo3b2o11b2o3bobo13bobo3b2o11b2o3bobo$41b3ob2ob2o6b2ob2ob3o51b2o2b
o5bobo3bobo5bo2b2o15bo5bobo3bobo5bo15b2o2bo5bobo3bobo5bo2b2o11b2o2bo5b
obo3bobo5bo2b2o$2o2b2o2b2o31bobo2b4o6b4o2bobo16b2o2b2o2b2o25bobo2b2o3b
o7bo3b2o2bobo12b2o2b2o3bo7bo3b2o2b2o12bobo2b2o3bo7bo3b2o2bobo11bobo2b
2o3bo7bo3b2o2bobo$2o2b2o2b2o34bobobo2bo2bo2bobobo19b2o2b2o2b2o27bo2bo
3bo2bo3bo2bo3bo2bo17bo4bo2b2ob2o2bo4bo17bo2bo3bo2bo3bo2bo3bo2bo15bo2bo
3bo2bo3bo2bo3bo2bo$39bobo2bo6bo2bo6bo2bobo48bo2b2ob4o3bo3bo3b4ob2o2bo
13bob3o2bob2ob2obo2b3obo13bo2b2ob4o3bo3bo3b4ob2o2bo9bo2b2ob4o3bo3bo3b
4ob2o2bo$36b4o2b4o3bob4obo3b4o2b4o45bobo2bo3b2o9b2o3bo2bobo10b3ob3obo
3b5o3bob3ob3o10bobo2bo3b2o9b2o3bo2bobo9bobo2bo3b2o9b2o3bo2bobo$2o6b2o
30bo3b2o3bo2b2o2bo3b2o3bo15b2o6b2o25bob6o2b2o5b2o2b6obo15b3obob2o2bo2b
2obob3o15bob6o2b2o5b2o2b6obo11bob6o2b2o5b2o2b6obo$2o6b2o26bo6bo2bo3bo
4bo3bo2bo6bo11b2o6b2o28bo3bo2bobo3bobo2bo3bo14bobo2b2o15b2o2bobo14bo3b
o2bobo3bobo2bo3bo17bo3bo2bobo3bobo2bo3bo$38bobo5bob2o6b2obo5bobo48bo7b
obobo3bobobo7bo19bo2bobobobo2bo19bo7bobobo3bobobo7bo11bo7bobobo3bobobo
7bo$43bobo5bo2bo5bobo55bobo19bobo21b2o9b2o21bobo19bobo15bobo19bobo$2o
2b2o2b2o31b4obo2bob4obo2bob4o16b2o2b2o2b2o27bo5bo2bo5bo2bo5bo19bo3bo7b
o3bo19bo5bo2bo5bo2bo5bo15bo5bo2bo5bo2bo5bo$2o2b2o2b2o30b2ob3o3b2ob2ob
2o3b3ob2o15b2o2b2o2b2o27bobo19bobo18b3ob3o5b3ob3o18bo23bo15bob2o17b2ob
o$40bo3b2ob2o8b2ob2o3bo54bobo15bobo20b2o3b2o5b2o3b2o59bob2o4bobobobo4b
2obo$43b2o2bo2bob2obo2bo2b2o54bobo2b2o13b2o2bobo18bo3bo7bo3bo19b2o21b
2o14b2o3b2o4bo3bo4b2o3b2o$39b3o3b3o3bo2bo3b3o3b3o52bobobo13bobobo20b2o
b2o7b2ob2o19b2o21b2o13b3o3b2o4bo3bo4b2o3b3o$39bo2bo5bo2b4o2bo5bo2bo48b
2o3bo5bo7bo5bo3b2o51b2o23b2o11bobo6bo11bo6bobo$40bo4bo14bo4bo52b2o4bob
obobobobobo4b2o19bo3bo7bo3bo16b2ob2o21b2ob2o9bobo6b2o3b3o3b2o6bobo$47b
2o2b4o2b2o56bob2o11bo11b2obo14bobo3bobo3bobo3bobo55bo4bobobo2bobobo2bo
bobo4bo$39bo3b2o5b2o2b2o5b2o3bo60bo5bo25b2o2bobo2b2ob2o2bobo2b2o13bobo
2bo19bo2bobo12bob2o5b3ob3o5b2obo$38b2o5bo14bo5b2o61bobo27bob7obobob7ob
o18bo19bo15bob3obobo2b3ob3o2bobob3obo$37b2o5bo2b2o2bo2bo2b2o2bo5b2o95b
o11bo19bob2ob3o13b3ob2obo11bo2bo4bo3bo3bo3bo4bo2bo$38bo7bo2b8o2bo7bo
62bo32b3o9b3o22bo19bo20bo17bo$39bo3bo5bo2b2o2bo5bo3bo62b3o31bobo9bobo
25bo13bo18bobo11bo11bobo$37bob2o2b2o16b2o2b2obo60bobo31b3o9b3o21bobo
17bobo28bo$37b3obobo6bo4bo6bobob3o60b3o30b2ob2o7b2ob2o58bo12bo12bo$40b
4o5b3o2b3o5b4o62b2ob2o29b2ob2o7b2ob2o21bo19bo15b3o10bobo10b3o$42bobo4b
obo2bobo4bobo64b2ob2o29b2ob2o7b2ob2o20b3o17b3o14bobo23bobo$38bobo2b3o
4bo4bo4b3o2bobo60b2ob2o66bobo17bobo14b3o9b2ob2o9b3o$44bo2bobo6bobo2bo
137b3o17b3o13b2ob2o9bobo9b2ob2o$43bob2o2bo6bo2b2obo135b2ob2o15b2ob2o
12b2ob2o21b2ob2o$47bo2b2o2b2o2bo139b2ob2o15b2ob2o12b2ob2o21b2ob2o$43bo
4bo8bo4bo99bo3bo7bo3bo19b2ob2o15b2ob2o25bo3bo$52b2o74bo3bo28b3ob3o5b3o
b3o$127b3ob3o28bo3bo7bo3bo$51bo2bo73bo3bo114b3ob3o$52b2o181bo3bo21bo3b
o$198bo3bo15bo3bo11b3ob3o19b3ob3o$197b3ob3o13b3ob3o11bo3bo21bo3bo$198b
o3bo15bo3bo26$2o4b2o2b2o2b2o28bo9bo23b2o4b2o2b2o2b2o24bo9bo30bo9bo28bo
9bo39bo9bo27b2o6b2o12b2o4b2o2b2o2b2o20bo8bo$2o4b2o2b2o2b2o26bobobob3ob
obobo21b2o4b2o2b2o2b2o22bobobob3obobobo26bobobob3obobobo24bobobob3obob
obo35bobobob3obobobo25b2o6b2o12b2o4b2o2b2o2b2o18bobobo4bobobo$41bo6b3o
6bo57bo6b3o6bo24bo6b3o6bo22bo6b3o6bo33bo6b3o6bo79bo5bo2bo5bo$40b2o2bo
3bobo3bo2b2o55b2o2bo3bobo3bo2b2o22b2o2bo3bobo3bo2b2o20b2o2bo3bobo3bo2b
2o31b2o2bo3bobo3bo2b2o79bob2o6b2obo$2o4b2o6b2o23b2ob4obo3bob4ob2o18b2o
12b2o19b2ob4obo3bob4ob2o20b2ob4obo3bob4ob2o18b2ob4obo3bob4ob2o29b2ob4o
bo3bob4ob2o22b2o6b2o10b2o6b2o24bobo2b2ob2ob2o2bobo$2o4b2o6b2o23b2o5bo
5bo5b2o18b2o12b2o19b2o5bo5bo5b2o20b2o5bo5bo5b2o18b2o5bo5bo5b2o29b2o5bo
5bo5b2o22b2o6b2o10b2o6b2o23b2o4bo6bo4b2o$36bobo3b2o11b2o3bobo47bobo3b
2o11b2o3bobo14bobo3b2o11b2o3bobo12bobo3b2o11b2o3bobo23bobo3b2o11b2o3bo
bo71bob3obo8bob3obo$35b2o2bo5bobo3bobo5bo2b2o45b2o2bo5bobo3bobo5bo2b2o
12b2o2bo5bobo3bobo5bo2b2o10b2o2bo5bobo3bobo5bo2b2o21b2o2bo5bobo3bobo5b
o2b2o69b3ob2ob2o6b2ob2ob3o$2o4b2o6b2o19bobo2b2o3bo7bo3b2o2bobo14b2o4b
2o2b2o2b2o15bobo2b2o3bo7bo3b2o2bobo12bobo2b2o3bo7bo3b2o2bobo10bobo2b2o
3bo7bo3b2o2bobo21bobo2b2o3bo7bo3b2o2bobo18b2o2b2o2b2o8b2o8b2o2b2o2b2o
13bobo2b4o6b4o2bobo$2o4b2o6b2o21bo2bo3bo2bo3bo2bo3bo2bo16b2o4b2o2b2o2b
2o17bo2bo3bo2bo3bo2bo3bo2bo16bo2bo3bo2bo3bo2bo3bo2bo14bo2bo3bo2bo3bo2b
o3bo2bo25bo2bo3bo2bo3bo2bo3bo2bo20b2o2b2o2b2o8b2o8b2o2b2o2b2o16bobobo
2bo2bo2bobobo$34bo2b2ob4o3bo3bo3b4ob2o2bo43bo2b2ob4o3bo3bo3b4ob2o2bo
10bo2b2ob4o3bo3bo3b4ob2o2bo8bo2b2ob4o3bo3bo3b4ob2o2bo19bo2b2ob4o3bo3bo
3b4ob2o2bo66bobo2bo6bo2bo6bo2bobo$34bobo2bo3b2o9b2o3bo2bobo43bobo2bo3b
2o9b2o3bo2bobo10bobo2bo3b2o9b2o3bo2bobo8bobo2bo3b2o9b2o3bo2bobo19bobo
2bo3b2o9b2o3bo2bobo63b4o2b4o3bob4obo3b4o2b4o$2o4b2o6b2o19bob6o2b2o5b2o
2b6obo14b2o4b2o23bob6o2b2o5b2o2b6obo12bob6o2b2o5b2o2b6obo10bob6o2b2o5b
2o2b6obo21bob6o2b2o5b2o2b6obo26b2o6b2o10b2o6b2o12bo3b2o3bo2b2o2bo3b2o
3bo$2o4b2o6b2o22bo3bo2bobo3bobo2bo3bo17b2o4b2o26bo3bo2bobo3bobo2bo3bo
18bo3bo2bobo3bobo2bo3bo16bo3bo2bobo3bobo2bo3bo27bo3bo2bobo3bobo2bo3bo
29b2o6b2o10b2o6b2o8bo6bo2bo3bo4bo3bo2bo6bo$35bo7bobobo3bobobo7bo45bo7b
obobo3bobobo7bo12bo7bobobo3bobobo7bo10bo7bobobo3bobobo7bo21bo7bobobo3b
obobo7bo66bobo5bob2o6b2obo5bobo$37bobo19bobo49bobo19bobo16bobo19bobo
14bobo19bobo25bobo19bobo73bobo5bo2bo5bobo$2o4b2o2b2o2b2o21bo5bo2bo5bo
2bo5bo16b2o4b2o2b2o2b2o17bo5bo2bo5bo2bo5bo16bo5bo2bo5bo2bo5bo14bo5bo2b
o5bo2bo5bo25bo5bo2bo5bo2bo5bo28b2o4b2o12b2o2b2o2b2o13b4obo2bob4obo2bob
4o$2o4b2o2b2o2b2o21bobo8b3o8bobo16b2o4b2o2b2o2b2o17bobo19bobo16bob2o
17b2obo14bobo21bo25bobo19bobo28b2o4b2o12b2o2b2o2b2o12b2ob3o3b2ob2ob2o
3b3ob2o$39bobo6b3o6bobo53bobo15bobo19bob2o15b2obo17bobo47bobo15bobo72b
o3b2ob2o8b2ob2o3bo$36bobo2b2o3bobobobo3b2o2bobo47bobo2b2o13b2o2bobo14b
2o3b2o13b2o3b2o12bobo2b2o17b2o24bobo2b2o13b2o2bobo72b2o2bo2bob2obo2bo
2b2o$38bobobo2b2o2bo2b2o2bobobo51bobobo13bobobo15b3o3b2o13b2o3b3o13bob
obo17b2o26bobobo13bobobo70b3o3b3o3bo2bo3b3o3b3o$34b2o3bo5bo2b3o2bo5bo
3b2o43b2o3bo5bo7bo5bo3b2o10bobo3bo2bo11bo2bo3bobo8b2o3bo21b2o21b2o3bo
19bo3b2o66bo2bo5bo2b4o2bo5bo2bo$37b2o8bo3bo8b2o49b2o4bobobobobobobo4b
2o13bobo3b5o9b5o3bobo11b2o21b2ob2o22b2o21b2o70bo4bo14bo4bo$34bob2o8b7o
8b2obo43bob2o11bo11b2obo11bo4bo2bo11bo2bo4bo9bob2o46bob2o23b2obo74b2o
2b4o2b2o$48bobo69bo5bo25bo3b2o2b2o5b2o2b2o3bo36bo2bobo118bo8b2o2b2o8bo
$49bo72bobo25bobo4b2obo7bob2o4bobo34bo22b2o99b2o20b2o$48bobo100b2ob3o
15b3ob2o32b3ob2obo17bo100bobo8bo2bo8bobo$47b5o68b2o3b2o32bobo5bobo43bo
122b2o5b12o5b2o$48bobo71bobo26bo25bo32bo24bobo97bo2b2ob2o2bo2b2o2bo2b
2ob2o2bo$49bo70bo5bo30b2o3b2ob2o3b2o40bobo23bo95b3o2bo3b2o8b2o3bo2b3o$
159bobo5bobo66bo2bo95b2o5bo2b2o4b2o2bo5b2o$157bo5bobo5bo38b2o3b2o22b2o
93b2o2b2o2b3obo4bob3o2b2o2b2o$120bo5bo85bobo22bo95b6ob6o6b6ob6o$119bob
o3bobo82bo5bo22bobo91bobo8b3o4b3o8bobo$121bo3bo31bo5bobo5bo69bo96bo2bo
4b2o2b2o4bo2bo$120b2obob2o29bobo3bobobo3bobo64bob2o97bo2bo14bo2bo$158b
o3bo3bo3bo39bo5bo20bo102bo7b2o7bo$157b2obob2ob2obob2o37bobo3bobo16b4o
99bo22bo$211bo3bo22bo108bo2bo$210b2obob2o17bo113b2o$236bobo2$234b2o3b
2o$236bobo$234bo5bo3$234bo5bo$233bobo3bobo$235bo3bo$234b2obob2o30$2o2b
2o2b2o22bo9bo30b2o4b2o2b2o2b2o23bo9bo30b2o2b2o2b2o4b2o6b2o33bo9bo32b2o
4b2o2b2o2b2o4b2o2b2o2b2o23bo9bo36b2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o
20bo9bo$2o2b2o2b2o20bobobob3obobobo28b2o4b2o2b2o2b2o21bobobob3obobobo
28b2o2b2o2b2o4b2o6b2o31bobobob3obobobo30b2o4b2o2b2o2b2o4b2o2b2o2b2o21b
obobob3obobobo34b2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o18bobobob3obobobo$
29bo6b3o6bo63bo6b3o6bo81bo6b3o6bo79bo6b3o6bo88bo6b3o6bo$28b2o2bo3bobo
3bo2b2o61b2o2bo3bobo3bo2b2o79b2o2bo3bobo3bo2b2o77b2o2bo3bobo3bo2b2o86b
2o2bo3bobo3bo2b2o$2o25b2ob4obo3bob4ob2o25b2o4b2o26b2ob4obo3bob4ob2o33b
2o4b2o6b2o28b2ob4obo3bob4ob2o27b2o12b2o4b2o6b2o18b2ob4obo3bob4ob2o31b
2o12b2o12b2o6b2o15b2ob4obo3bob4ob2o$2o25b2o5bo5bo5b2o25b2o4b2o26b2o5bo
5bo5b2o33b2o4b2o6b2o28b2o5bo5bo5b2o27b2o12b2o4b2o6b2o18b2o5bo5bo5b2o
31b2o12b2o12b2o6b2o15b2o5bo5bo5b2o$24bobo3b2o11b2o3bobo53bobo3b2o11b2o
3bobo71bobo3b2o11b2o3bobo69bobo3b2o11b2o3bobo78bobo3b2o11b2o3bobo$23b
2o2bo5bobo3bobo5bo2b2o51b2o2bo5bobo3bobo5bo2b2o69b2o2bo5bobo3bobo5bo2b
2o67b2o2bo5bobo3bobo5bo2b2o76b2o2bo5bobo3bobo5bo2b2o$2o2b2o2b2o13bobo
2b2o3bo7bo3b2o2bobo21b2o4b2o2b2o2b2o14bobo2b2o3bo7bo3b2o2bobo21b2o2b2o
2b2o4b2o2b2o2b2o24bobo2b2o3bo7bo3b2o2bobo23b2o4b2o2b2o2b2o4b2o6b2o14bo
bo2b2o3bo7bo3b2o2bobo27b2o2b2o2b2o4b2o2b2o2b2o4b2o6b2o11bobo2b2o3bo7bo
3b2o2bobo$2o2b2o2b2o15bo2bo3bo2bo3bo2bo3bo2bo23b2o4b2o2b2o2b2o16bo2bo
3bo2bo3bo2bo3bo2bo23b2o2b2o2b2o4b2o2b2o2b2o26bo2bo3bo2bo3bo2bo3bo2bo
25b2o4b2o2b2o2b2o4b2o6b2o16bo2bo3bo2bo3bo2bo3bo2bo29b2o2b2o2b2o4b2o2b
2o2b2o4b2o6b2o13bo2bo3bo2bo3bo2bo3bo2bo$22bo2b2ob4o3bo3bo3b4ob2o2bo49b
o2b2ob4o3bo3bo3b4ob2o2bo67bo2b2ob4o3bo3bo3b4ob2o2bo65bo2b2ob4o3bo3bo3b
4ob2o2bo74bo2b2ob4o3bo3bo3b4ob2o2bo$22bobo2bo3b2o9b2o3bo2bobo49bobo2bo
3b2o9b2o3bo2bobo67bobo2bo3b2o9b2o3bo2bobo65bobo2bo3b2o9b2o3bo2bobo74bo
bo2bo3b2o9b2o3bo2bobo$2o6b2o13bob6o2b2o5b2o2b6obo21b2o4b2o6b2o14bob6o
2b2o5b2o2b6obo29b2o12b2o24bob6o2b2o5b2o2b6obo23b2o4b2o12b2o6b2o14bob6o
2b2o5b2o2b6obo35b2o4b2o6b2o4b2o6b2o11bob6o2b2o5b2o2b6obo$2o6b2o16bo3bo
2bobo3bobo2bo3bo24b2o4b2o6b2o17bo3bo2bobo3bobo2bo3bo32b2o12b2o27bo3bo
2bobo3bobo2bo3bo26b2o4b2o12b2o6b2o17bo3bo2bobo3bobo2bo3bo38b2o4b2o6b2o
4b2o6b2o14bo3bo2bobo3bobo2bo3bo$23bo7bobobo3bobobo7bo51bo7bobobo3bobob
o7bo69bo7bobobo3bobobo7bo67bo7bobobo3bobobo7bo76bo7bobobo3bobobo7bo$
25bobo19bobo55bobo19bobo73bobo19bobo71bobo19bobo80bobo19bobo$2o2b2o2b
2o15bo5bo2bo5bo2bo5bo23b2o4b2o2b2o2b2o16bo5bo2bo5bo2bo5bo23b2o2b2o2b2o
12b2o26bo5bo2bo5bo2bo5bo25b2o4b2o2b2o2b2o4b2o2b2o2b2o16bo5bo2bo5bo2bo
5bo29b2o2b2o2b2o4b2o2b2o2b2o4b2o2b2o2b2o13bo5bo2bo5bo2bo5bo$2o2b2o2b2o
15bob2o17b2obo23b2o4b2o2b2o2b2o16bobo19bobo23b2o2b2o2b2o12b2o26bobo21b
o25b2o4b2o2b2o2b2o4b2o2b2o2b2o16bobo21bo29b2o2b2o2b2o4b2o2b2o2b2o4b2o
2b2o2b2o13bobo21bo$26bob4o11b4obo58bobo15bobo77bobo93bobo102bobo$24b2o
3b4o9b4o3b2o53bobo2b2o13b2o2bobo71bobo2b2o17b2o70bobo2b2o17b2o79bobo2b
2o17b2o$24bo4b3o11b3o4bo55bobobo13bobobo75bobobo17b2o72bobobo17b2o81bo
bobo17b2o$25bo2b2o15b2o2bo52b2o3bo19bo3b2o67b2o3bo21b2o67b2o3bo21b2o
76b2o3bo21b2o$24bob4o15b4obo54b2o16bo4b2o73b2o21b2ob2o68b2o21b2ob2o77b
2o21b2ob2o$102bob2o16b2o5b2obo67bob2o92bob2o101bob2o$24bo2bo19bo2bo71b
obo100bo2bobo90bo2bobo99bo2bobo$26bobo17bobo72bobo2b2o97bo95bo104bo$
25bo3bo15bo3bo70b3o2bo96b3ob2obo88b3ob2obo97b3ob2obo$24bo4bo2b3o5b3o2b
o4bo69b3o2b3obo95bo95bo104bo$27bob2ob3ob3ob3ob2obo71bo9b4o89bo95bo104b
o$23bob2ob3o3bob3obo3b3ob2obo70bo2bo2bo95bobo93bobo102bobo$22bo6b2o6bo
6b2o6bo66bobo10bo$24bo3bo17bo3bo72bo4bobo94bo95b2o103bo$22bo6b2o13b2o
6bo69bo101b3o96bo101bobo$321bobo101b3o$320bo$29b2o13b2o275b5o$324bo$
121b2o300bo5bo$29b2o13b2o74bo2bo300b5o$122bo197b2o$223b2ob2o91b2o$29b
2o13b2o273bo3bo104bo$316b3obo108bo$316b2o2bob3o104bo$29b2o13b2o269b2o
4bo$121b2o192bobo$120bo2bo193b3obo$29b2o13b2o76bo193bo111b2o$321bo101b
o2b2obob2o$320bo106bo2b2obo$422bobo3b3ob3o$422b2o4b6o$422b3o3bo2b3o$
121b2o299b3o5bo2b2o$120bo2bo298b3ob2o2b4o$122bo302bo4b3o$420bo5bo4bo$
223b2ob2o198b2o2b3o$420b2obobo2bo2bo$424bobo$424bobo$425bo$424b3o!

The puffers can obviously be combined/perturbed in various ways to generate puffers of other periods. The period 120 and 560 engines, for example, are actually p60/2 and p112/2 (they are both glide reflective) closer to the head of the engine. Combining them in pairs gives puffers with multiples of those periods.
It would be nice if c/8 gliders (or better yet, wickstretchers!) could be found crawling out from one of these, but I've yet to find anything like that. Fingers crossed, I've barely scratched the surface so far and have spent more time cataloging the results than banging them together.
Paul Tooke
 
Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

Re: 2x2

Postby Lewis » August 8th, 2010, 8:42 am

Paul Tooke wrote:It would be nice if c/8 gliders (or better yet, wickstretchers!) could be found crawling out from one of these, but I've yet to find anything like that.

By combining parts from the P560 and P120 puffers, I've found a new puffer which periodically emits the c/8 glider.
x = 34, y = 63, rule = 125/36
13bo9bo$11bobobob3obobobo$10bo6b3o6bo$9b2o2bo3bobo3bo2b2o$8b2o
b4obo3bob4ob2o$8b2o5bo5bo5b2o$5bobo3b2o11b2o3bobo$4b2o2bo5bob
o3bobo5bo2b2o$4bobo2b2o3bo7bo3b2o2bobo$6bo2bo3bo2bo3bo2bo3bo2b
o$3bo2b2ob4o3bo3bo3b4ob2o2bo$3bobo2bo3b2o9b2o3bo2bobo$4bob6o2b
2o5b2o2b6obo$7bo3bo2bobo3bobo2bo3bo$4bo7bobobo3bobobo7bo$6bob
o19bobo$6bo5bo2bo5bo2bo5bo$6bo23bo2$6b2o21b2o$6b2o21b2o$5b2o23b
2o$3b2ob2o21b2ob2o2$3bobo2bo19bo2bobo$8bo19bo$4bob2ob3o13b3ob
2obo$8bo19bo$11bo13bo$7bobo17bobo2$8bo19b2o$7bobo20bo$7b3o18b
obo$27bo$28b5o$31bo$5bo5bo$6b5o$27b2o$26b2o$6bo19bo3bo$5bo17b
3obo$5bo17b2o2bob3o$22b2o4bo$22bobo$24b3obo$5b2o16bo$2b2obob2o
2bo16bo$bob2o2bo19bo$3ob3o3bobo$b6o4b2o$b3o2bo3b3o$2o2bo5b3o$
b4o2b2ob3o$2b3o4bo$3bo4bo5bo$2b3o2b2o$3bo2bo2bobob2o$8bobo$8b
obo$9bo$8b3o!
User avatar
Lewis
 
Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Re: 2x2

Postby Paul Tooke » August 8th, 2010, 9:47 am

Lewis wrote:
By combining parts from the P560 and P120 puffers, I've found a new puffer which periodically emits the c/8 glider.

Well done! It's nice to know that a rake is at least theoretically possible. Cleaning this up to make a p1680 rake is left as an exercise!

When I get the time (and cpu cycles) I'd like to examine all of the ways of hammering the p120 puffer engine with the p12 tagalong. Keeping the period down tends to make the puffer output easier to deal with, and if one can get a glider output earlier on, there's less mess to clean up.

In the meantime, I'm looking at at 2c/5 and already getting results: if you delete the last 8 rows from David Eppsteins 2c/5 (leaving the domino, just forward of these) it becomes a p5 domino puffer. My motivation for looking at 2c/5 is that I believe that it will be easier at that period to find spaceships with reactive edges that can safely interact with puffer output and/or do the cleanup to make a rake. These two velocities (c/2 & 2c/5) are, IMHO, the most likely at which the first clean rake will be found.
Paul Tooke
 
Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

Re: 2x2

Postby Paul Tooke » August 9th, 2010, 1:33 pm

Encouraged by Lewis's discovery of a dirty rake, I took a look at the p60 & p12 technology and came up with a couple of clean p60 rakes.

Here is a p60 backwards rake:
x = 138, y = 171, rule = B36/S125
75b3o3bo3b3o$74b4obobobob4o$72bob2obo7bob2obo$71bo5bobo3bobo5bo17bo9bo
$72bobo3b2o3b2o3bobo16bobobob3obobobo$70bo6b2o5b2o6bo13bo6b3o6bo$67b4o
bob2o2bo5bo2b2obob4o9b2o2bo3bobo3bo2b2o$70b5ob3o5b3ob5o11b2ob4obo3bob
4ob2o$67bob3obo2b2o7b2o2bob3obo8b2o5bo5bo5b2o$73bob2ob2o3b2ob2obo11bob
o3b2o11b2o3bobo$66b3o10bo3bo10b3o3b2o2bo5bobo3bobo5bo2b2o$66bo3b5o2b2o
5b2o2b5o3bo3bobo2b2o3bo7bo3b2o2bobo$67b2o25b2o6bo2bo3bo2bo3bo2bo3bo2bo
$68b2o2bo2bo2b2o3b2o2bo2bo2b2o4bo2b2ob4o3bo3bo3b4ob2o2bo$70bo4b3obo3bo
b3o4bo6bobo2bo3b2o9b2o3bo2bobo$68b3o5bobo5bobo5b3o5bob6o2b2o5b2o2b6obo
$68b2o23b2o8bo3bo2bobo3bobo2bo3bo$69bob2o20bo6bo7bobobo3bobobo7bo$69bo
bob2o17b2o8bobo19bobo$69b2o31bo5bo2bo5bo2bo5bo$67bob2obobo18bo8bo21bob
o$66b2obo23bobo26bobo$66bo25bo2b2o5b2o17b2o2bobo$68bobo21b3obo5b2o17bo
bobo$91bo9b2o21bo3b2o$89bo3b3o3b2ob2o21b2o$88b2o3bo32b2obo$88bob3o6bob
o2bo$91bo12bo$100bob2ob3o$90bo13bo$91bo15bo$92bo10bobo$88bo2bo$88bo2bo
9b2o3b2o$87b3o13bobo$89bob3o7bobobobo$89bo2b2o$86b3o$86bo2bo$85bobo13b
o5bo$86bo3bo9b3o3b3o$90bo12bobo$88bo12b3ob3o$92b2o8bo3bo$91bo2bo$90b2o
3bo$89bo3b2o$88bo4bo$55bo9bo27b2o$53bobobob3obobobo19bo3bo$52bo6b3o6bo
18bo3b2o3bo$51b2o2bo3bobo3bo2b2o17b3ob2o$50b2ob4obo3bob4ob2o17b2o2bo$
50b2o5bo5bo5b2o18b2obo$47bobo3b2o11b2o3bobo16bo7bo$46b2o2bo5bobo3bobo
5bo2b2o18bo$46bobo2b2o3bo7bo3b2o2bobo21bo$48bo2bo3bo2bo3bo2bo3bo2bo$
45bo2b2ob4o3bo3bo3b4ob2o2bo$45bobo2bo3b2o9b2o3bo2bobo$46bob6o2b2o5b2o
2b6obo$49bo3bo2bobo3bobo2bo3bo$46bo7bobobo3bobobo7bo$48bobo19bobo19b3o
$48bo5bo2bo5bo2bo5bo16b2o2b2o$48bobo19bobo17bo2bo$50bobo15bobo17b3obo$
47bobo2b2o13b2o2bobo14bo4bo$49bobobo13bobobo16bo2bo$45b2o3bo19bo3b2o
15b2o$48b2o21b2o$45bob2o23b2obo15bo$89b2o$76b2o16bo$78bo14bobo$92bo$
76bobo$75bo17b2o$74bo2bo38b3o3bo3b3o$10bo25bo7bo28b2o40b4obobobob4o$8b
obobob3o5b3o7bobobobobobobobobo3b3o21bo36bob2obo7bob2obo$7bo6b3ob3ob3o
b3obobo7bo7bobob4o16bobo37bo5bobo3bobo5bo$6b2o2bo3bobob3obo3b3o8bo5bo
8bob2obo14bo40bobo3b2o3b2o3bobo$5b2ob4obo5bo6bobo3bobo4bobo4b2o2bobo5b
o14b2obo34bo6b2o5b2o6bo$5b2o5bo12bobo3b3obo9b3o2b2o3bobo18bo31b4obob2o
2bo5bo2b2obob4o$2bobo3b2o13bo4bo2bo4bo9bo2bo2bo6bo16b4o31b5ob3o5b3ob5o
$b2o2bo5bobo8b2o6b3o3bo4b3ob2obo3b4o2b3obo12bo32bob3obo2b2o7b2o2bob3ob
o$bobo2b2o3bo10bob5o3b4ob3ob3ob2o2bob3o2bobo3b2o15bo34bob2ob2o3b2ob2ob
o$3bo2bo3bo2bo11bob3o4bo2b3obo3b4ob2ob2o6bo2bo10bobo29b3o10bo3bo10b3o$
o2b2ob4o3bo15b2ob2o3b2o6b2o2b2o4b2obob6obo39bo3b5o2b2o5b2o2b5o3bo$obo
2bo3b2o18bo3b2o14b2o4b6o2bo3b2o4b2o3b2o13b2o13b2o25b2o$bob6o2b2o18bo
23bo2bo5b3obo6bobo17bo13b2o2bo2bo2b2o3b2o2bo2bo2b2o$4bo3bo2bobo42b2o7b
o7bobobobo11bobob2o14bo4b3obo3bob3o4bo$bo7bobobo72b2o2b3o3bo12b3o5bobo
5bobo5b3o$3bobo57bo3bo22bob2obo13b2o23b2o$3bo5bo2bo49b2o3b2o13b3ob2obo
3b2o15bob2o17b2obo$3bobo56bobobobo4bo5bo2bobob4o4b2o14bobob2o13b2obobo
$5bobo64b3o3b2ob2o2b3ob4obo15b2o21b2o$2bobo2b2o53bob3obo6bobo2bo2b2o2b
o5b2o13bob2obobo13bobob2obo$4bobobo53bob3obo4b3ob3o17bo9b2obo23bob2o$
2o3bo57b5o6bo3bo28bo29bo$3b2o59b3o26bo3bo11bobo21bobo$ob2o61bo28b2ob2o
bo5bo$95b2ob2o5b2o$96b3o5b2o$105bo$13bo25bo7bo58bo$11bobobob3o5b3o7bob
obobobobobobobo3b3o47b3o$10bo6b3ob3ob3ob3obobo7bo7bobob4o48bobo$9b2o2b
o3bobob3obo3b3o8bo5bo8bob2obo46b3o$8b2ob4obo5bo6bobo3bobo4bobo4b2o2bob
o5bo45b2o$8b2o5bo12bobo3b3obo9b3o2b2o3bobo48b2o$5bobo3b2o13bo4bo2bo4bo
9bo2bo2bo6bo44b2obo$4b2o2bo5bobo8b2o6b3o3bo4b3ob2obo3b4o2b3obo40b4o$4b
obo2b2o3bo10bob5o3b4ob3ob3ob2o2bob3o2bobo3b2o37bo$6bo2bo3bo2bo11bob3o
4bo2b3obo3b4ob2ob2o6bo2bo35b2o2bo$3bo2b2ob4o3bo15b2ob2o3b2o6b2o2b2o4b
2obob6obo32bob3o$3bobo2bo3b2o18bo3b2o14b2o4b6o2bo3b2o34bo$4bob6o2b2o
18bo23bo2bo5b3obo$7bo3bo2bobo42b2o7bo35bo3bo$4bo7bobobo86b2o3b2o$6bobo
57bo3bo32bobobobo$6bo5bo2bo49b2o3b2o$6bobo56bobobobo$8bobo55b2ob2o$5bo
bo2b2o55bobo6bo26bo5bo$7bobobo65bo24bobo3bobo$3b2o3bo65bo$6b2o67bo27b
3ob3o$3bob2o56bobo5bobo5bo$79bo2bo$79bobo$64bobo3bobo$65b2o3b2o9bo17b
2o$93b2o4bo$95bo3bo$94bo2bobo2$97b2o$95b2o27$73bo$70bobo2$72b3o!


Here is p60 forward rake:
x = 178, y = 431, rule = B36/S125
69bo9bo$67bobobob3obobobo$66bo6b3o6bo$65b2o2bo3bobo3bo2b2o$64b2ob4obo
3bob4ob2o16b3o3bo3b3o$64b2o5bo5bo5b2o15b4obobobob4o$61bobo3b2o11b2o3bo
bo10bob2obo7bob2obo$60b2o2bo5bobo3bobo5bo2b2o8bo5bobo3bobo5bo$60bobo2b
2o3bo7bo3b2o2bobo9bobo3b2o3b2o3bobo$62bo2bo3bo2bo3bo2bo3bo2bo9bo6b2o5b
2o6bo$59bo2b2ob4o3bo3bo3b4ob2o2bo3b4obob2o2bo5bo2b2obob4o$59bobo2bo3b
2o9b2o3bo2bobo6b5ob3o5b3ob5o$60bob6o2b2o5b2o2b6obo4bob3obo2b2o7b2o2bob
3obo$63bo3bo2bobo3bobo2bo3bo13bob2ob2o3b2ob2obo$60bo7bobobo3bobobo7bo
3b3o10bo3bo10b3o$62bobo19bobo5bo3b5o2b2o5b2o2b5o3bo$62bo5bo2bo5bo2bo5b
o6b2o25b2o$62bobo21bo7b2o2bo2bo2b2o3b2o2bo2bo2b2o$64bobo29bo4b3obo3bob
3o4bo$61bobo2b2o17b2o7b3o5bobo5bobo5b3o$63bobobo17b2o7b2o23b2o$59b2o3b
o21b2o7bo20b2obo$62b2o21b2ob2o5b2o17b2obobo$59bob2o55b2o$84bo2bobo5bo
18bobob2obo$84bo8bobo23bob2o$81b3ob2obo3b2o2bo25bo$84bo7bob3o21bobo$
81bo15bo$83bobo7b3o3bo$95bo3b2o$84b2o10b3obo$84bobo10bo2$83bob2o8bo3bo
$49bo9bo22bo2bo8b2o3b2o$47bobobob3obobobo19b2obo3bo5bobobobo$46bo6b3o
6bo19bo4bo$45b2o2bo3bobo3bo2b2o19bo10bob3obo$44b2ob4obo3bob4ob2o29bob
3obo$44b2o5bo5bo5b2o30b5o$41bobo3b2o11b2o3bobo28b3o$40b2o2bo5bobo3bobo
5bo2b2o28bo$40bobo2b2o3bo7bo3b2o2bobo16bo$42bo2bo3bo2bo3bo2bo3bo2bo18b
o$39bo2b2ob4o3bo3bo3b4ob2o2bo$39bobo2bo3b2o9b2o3bo2bobo8bo5bo$40bob6o
2b2o5b2o2b6obo14bobo$43bo3bo2bobo3bobo2bo3bo11bo2bo5bo$40bo7bobobo3bob
obo7bo9b2o5bo$42bobo19bobo16bo$42bo5bo2bo5bo2bo5bo14bo4b2o$42bobo19bob
o12bob6obo$44bobo15bobo14bobo2b6o$41bobo2b2o13b2o2bobo12b2o4bo2bo$43bo
bobo13bobobo22bo$39b2o3bo19bo3b2o$42b2o21b2o19b3o$39bob2o23b2obo10b3o
3bo2bo$81bo$70b2o15bo2bo$72bo15bo$82bo2bo3bo$70bobo9b2o$69bo12bo2bo$
68bo2bo$67b2o$70bo$66bobo$66bo$67b2obo$70bo$70b4o$69bo$73bo6bo$69bobo
7b3o4bo$78b2ob2o4b3o$67b2o3b2o5bo2bo3bo$69bobo18bo$67bo5bo6bobo3bo$85b
3o$81b2o$67bo5bo11bo2b2o$66bobo3bobo10b3obo$68bo3bo14b3o$67b2obob2o13b
o$83b2obo2$82b2ob2o3$72b2o$67bo3bo$67bo2b4o$66bob3ob2o$66b2o3b3o$66b2o
$73bo$70b2o14bobo$70bo2bob2o7bo2bo$72b2o9bobo$72bo6b5o$74bo4bo2bo6bo$
74bo2bobobob3o3bo3bo$77bo2bob3o3bo4bo$85b3o$84bobo$84b2o4$35b3o3bo3b3o
$34b4obobobob4o42bo$32bob2obo7bob2obo37bo3bo$31bo5bobo3bobo5bo37bo$32b
obo3b2o3b2o3bobo$30bo6b2o5b2o6bo$27b4obob2o2bo5bo2b2obob4o$30b5ob3o5b
3ob5o$27bob3obo2b2o7b2o2bob3obo$33bob2ob2o3b2ob2obo31bo$26b3o10bo3bo
10b3o23b3o3bo$26bo3b5o2b2o5b2o2b5o3bo23b2o4b2o$27b2o25b2o24b2obo$28b2o
2bo2bo2b2o3b2o2bo2bo2b2o25b2o2bo2b2o4bo$30bo4b3obo3bob3o4bo26b3o10b3o$
28b3o5bobo5bobo5b3o23bo6b2o2bobo3bo$28b2o23b2o23bobobob2o7b3o$29bob2o
17b2obo28b2o6bo2bo$29bobob2o13b2obobo29bo2b2o$29b2o21b2o28bo2bobob3ob
3o$27bob2obobo13bobob2obo17b2o9bo3bobo5bo$26b2obo23bob2o15bobo6bo2bo5b
5obo$26bo29bo13bobobobo2b4o3bo2bo4bobo$28bobo21bobo14b2o13bo7bo2b3o$
57bo11b2obo3bob2ob2o7bobo3bo$57b2o10b2obo3bob2obo10bo$58b2o10bob2o3bo
2bo6b2o$58bo12b3o2b2ob2o8bo$57bo30b2o$56b3o$54bobo$54b3o34bo$55b2o31bo
3bo$53b2o34bo$53bob2o$54b4o$59bo$56bo2b2o$56b3obo$57bo2$55bo3bo23bo$
54b2o3b2o21b3o8b2o$54bobobobo19b4o11bo$55b2ob2o16bo3bo10b2o2bo$75bo4b
3o13b2o$85bo10b2o$87bo4bobobo$53bobo3bobo23bo2bob2ob2obo$53bo7bo12b2o
11bob3obobo$53bobo3bobo4b2o7bo4b2o8b2o4b2o$54bo5bo3bob2o7b3o6bo$54bobo
bobo3bo2bobo8b2obo2b2o$64bobob2o3bo10b3o$65bo2b2o9b2o4b2o$63b3obobo7b
4o2b2obo$63bo2bobo4bo5b2obo3bo$66bo5bobobob3obo3bo$64bobo4bo2bo2bo6b2o
3$72bobo16bo$88bo3bo$71b2o16bo$71b2o5$98b3o2$100bobo$99bo$83b3o$81b2o
7bo$80b3ob2obo3bo$80b2o5bo$78bobo3b3o$78bo4b5o$78bobo2b2obo$78bobo$78b
2o$79bo10bo$77bobo11bo$77bobo2$72bo$71bob2o$71b5o$71bob2o$72bo33bo2$
106bobo$105bo2bo$108bo3$10bo25bo7bo$8bobobob3o5b3o7bobobobobobobobobo
3b3o$7bo6b3ob3ob3ob3obobo7bo7bobob4o$6b2o2bo3bobob3obo3b3o8bo5bo8bob2o
bo$5b2ob4obo5bo6bobo3bobo4bobo4b2o2bobo5bo$5b2o5bo12bobo3b3obo9b3o2b2o
3bobo$2bobo3b2o13bo4bo2bo4bo9bo2bo2bo6bo23bo$b2o2bo5bobo8b2o6b3o3bo4b
3ob2obo3b4o2b3obo13bob2o2bob3o$bobo2b2o3bo10bob5o3b4ob3ob3ob2o2bob3o2b
obo3b2o12bobobob2ob3o$3bo2bo3bo2bo11bob3o4bo2b3obo3b4ob2ob2o6bo2bo11bo
bobo5bo2b2o$o2b2ob4o3bo15b2ob2o3b2o6b2o2b2o4b2obob6obo8bo2b2o9bo$obo2b
o3b2o18bo3b2o14b2o4b6o2bo3b2o8b2obo4b4o$bob6o2b2o18bo23bo2bo5b3obo5bo
2b2obo4bo3bo$4bo3bo2bobo42b2o7bo9b2o2b2o$bo7bobobo61b2o2bo7b3o$3bobo
57bo3bo7b3o11b2o$3bo5bo2bo49b2o3b2o22bo$3bobo56bobobobo44b3o$5bobo56b
3o$2bobo2b2o55bobo48bobo$4bobobo53bob3obo45bo$2o3bo56b2o3b2o$3b2o57bob
obobo$ob2o59b2ob2o$63b2ob2o9$70b2o$69bo2b4o$67b4obo2b2o$66b10o$66b2o2b
2o3bo2bo5b2o2bo$67bo2b2o4bo11bo32bo$77bo$75bo5b2o38bobo$66b2o5bo2bo43b
o2bo$66b2o11b2o9b2o31bo$66bo2b2o2b3obobo7bo$67b2o4b4o2bobo5bo$68b6obo
3b4o2b2o$71b2o8bo$70bo5b3o$77bo$73bo13$79bo48b3o$79bo2b2o$78bo3b2o46bo
bo$76b4ob2o46bo$83bo$78b2ob2o$77bo2bo$77bobo5bo$74bo8bo2b2o$71bo3bob2o
2bo2bo6b2o$68b2obo7bo2bobo4b2obo$70bobobo2bo5bo6b2o$71b3o3bo$67bo5bobo
5b2o$66bo5bo2bo2b2o2b2o$70bo2bob2o2bo$67bo5bo$69b6o$72b2o3$136bo2$136b
obo$135bo2bo$138bo10$82b2o$74bo7b2o$73bo8bobo$73bobo7b3o$30b3o3bo3b3o
29b3obo5bo2b2o$29b4obobobob4o28b2o7bobo$27bob2obo7bob2obo22bobo2bo6bo
2bob2o$26bo5bobo3bobo5bo17b2o4bo9bo4bo$27bobo3b2o3b2o3bobo20b2o2bo3b3o
3bob2o6bo$25bo6b2o5b2o6bo18bob2o6bo5b2o6bo$22b4obob2o2bo5bo2b2obob4o
16bob2o10bob2o58b3o$25b5ob3o5b3ob5o20bo5b2o$22bob3obo2b2o7b2o2bob3obo
31bo62bobo$28bob2ob2o3b2ob2obo99bo$21b3o10bo3bo10b3o22bo$21bo3b5o2b2o
5b2o2b5o3bo20bo$22b2o25b2o22bo$23b2o2bo2bo2b2o3b2o2bo2bo2b2o$25bo4b3ob
o3bob3o4bo$23b3o5bobo5bobo5b3o$23b2o23b2o$24bob2o17b2obo$24bobob2o13b
2obobo$24b2o21b2o$22bob2obobo13bobob2obo$21b2obo23bob2o$21bo29bo$23bob
o21bobo$52bo$52b2o$53b2o19bo3bo$53bo19b2o2bo73bo$52bo20b2o3bo$51b3o19b
2o2b2o72bobo$49bobo15bo5bo4bo3bobo65bo2bo$49b3o14bo14bo71bo$50b2o7b2o
15bo3bo3bo$48b2o9bobo14bo4bo2bo$48bob2o9bo10b2obo4bo$49b4o19b3o6b2o$
54bo18b2o11bo$51bo2b2o16b2o11bo$51b3obo28bo$52bo2$50bo3bo$49b2o3b2o$
49bobobobo$50b5o$50bobobo$50b5o5$158b3o2$49b2o3b2o104bobo$49b2o3b2o
103bo$75b2o$74bobo$73bob2o$67b2o7bo$68bo4bo2bo$71bo2b2o$66bobo2bo2bo$
68bob2o$69bo7bobo$73bobobobo$74b2ob2o$73bobobo$77bo$80bo$80bobo$81b2o
2$166bo2$166bobo$165bo2bo$168bo4$71bo$74bo$71b2ob2o$72bo3bo$72bo$79bo$
73b2o2b2o$70bobo2b2ob2o$69bo7bo$77b2o$70bo$73bo2bo5$173b3o2$175bobo$
174bo15$68bo$67bo8b2o$73bobobo$73b4o$68bo4bobo$67bo2bo$68bobobo$70b2o!
Paul Tooke
 
Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

Re: 2x2

Postby Lewis » August 10th, 2010, 8:18 am

Are any other 2c/5 spaceships known apart from this one: http://fano.ics.uci.edu/ca/rules/b36s125/g7.html
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Lewis
 
Posts: 320
Joined: March 17th, 2009, 5:26 pm
Location: UK

Re: 2x2

Postby Paul Tooke » August 11th, 2010, 2:57 am

Lewis wrote:
Are any other 2c/5 spaceships known apart from this one: http://fano.ics.uci.edu/ca/rules/b36s125/g7.html


Here's my small 2c/5 stamp collection which contains this spaceship, a shorter, wider p5, taglaongs for both, one p10 spaceship and the p5 puffer I mentioned earlier:
x = 133, y = 165, rule = B36/S125
2o2b2o2b2o39bo2bo19b6o19bo2bo21b6o$2o2b2o2b2o38b2o2b2o18bob2obo18b2o2b
2o20bob2obo$47bobo2bobo17bob2obo17bobo2bobo19bob2obo$45b2o3b2o3b2o15bo
b2obo15b2o3b2o3b2o17bob2obo$2o42b3o8b3o12bo8bo12b3o8b3o14bo8bo$2o41b4o
3b2o3b4o10b2o8b2o10b4o3b2o3b4o12b2o8b2o$42bo2bo10bo2bo11bo6bo11bo2bo
10bo2bo13bo6bo$42bo2b2o3b2o3b2o2bo11bo6bo11bo2b2o3b2o3b2o2bo13bo6bo$2o
2b2o2b2o38bo4bo17bobo2bobo17bo4bo19bobo2bobo$2o2b2o2b2o33bob2obob2obob
2obo13bob2obo13bob2obob2obob2obo15bob2obo$45b2ob2o2b2ob2o12bo4b2o4bo
12b2ob2o2b2ob2o14bo4b2o4bo$48b6o15b2o8b2o15b6o17b2o8b2o$8b2o34bo4b4o4b
o34bo4b4o4bo$8b2o33bo3bobo2bobo3bo10bo10bo10bo3bobo2bobo3bo12bo10bo$
42bo3bo2bo2bo2bo3bo8b2o10b2o8bo3bo2bo2bo2bo3bo10b2o10b2o$47bo6bo13b2o
10b2o13bo6bo15b2o10b2o$2o2b2o2b2o34b2o2bo4bo2b2o13bo6bo13b2o2bo4bo2b2o
15bo6bo$2o2b2o2b2o35bo10bo15bo4bo15bo10bo17bo4bo$43bo2bo8bo2bo11b2o6b
2o11bo2bo8bo2bo13b2o6b2o$43bo14bo10bo10bo10bo14bo12bo10bo$68bo2b2o4b2o
2bo16b2o18bo2b2o4b2o2bo$69bo2b2o2b2o2bo12bo2bob2obo2bo14bo2b2o2b2o2bo$
70bobo4bobo12bo2bo6bo2bo14bobo4bobo$67bo2bo3b2o3bo2bo8bo3b2o4b2o3bo10b
o2bo3b2o3bo2bo$70bo2b4o2bo15bo6bo17bo2b4o2bo$71bo6bo11bo2bo2bob2obo2bo
2bo13bo6bo$67b2o3bob2obo3b2o9bo3bob2obo3bo11b2o3bob2obo3b2o$68bo12bo8b
o16bo10bo12bo$70bo8bo10bo2bob3o2b3obo2bo12bo8bo$74b2o15b2o2bobo2bobo2b
2o17b2o$71b8o15b3o4b3o17b8o$71bobo2bobo16bo2b2o2bo18bobo2bobo$71bobo2b
obo13bob3ob2ob3obo15bobo2bobo$70bo3b2o3bo11bobo10bobo13bo3b2o3bo$70b3o
4b3o11b2o2bo2b2o2bo2b2o13b3o4b3o$69bo2bob2obo2bo11bo4bo2bo4bo13bo2bob
2obo2bo$69b3o6b3o12b2o3b2o3b2o14b3o6b3o$68b2ob2o4b2ob2o10b4o6b4o12b2ob
2o4b2ob2o$91b4o8b4o$92bo12bo16bo4bo$122b2o2b2o$121b2o4b2o19$45b6o$45bo
b2obo$2o4b2o2b2o2b2o29bob2obo$2o4b2o2b2o2b2o29bob2obo$43bo8bo$42b2o8b
2o$2o4b2o6b2o28bo6bo$2o4b2o6b2o28bo6bo$44bobo2bobo$45bob2obo$2o4b2o6b
2o26bo4b2o4bo$2o4b2o6b2o26b2o8b2o2$42bo10bo$2o4b2o6b2o25b2o10b2o$2o4b
2o6b2o25b2o10b2o$44bo6bo$45bo4bo$2o4b2o2b2o2b2o27b2o6b2o$2o4b2o2b2o2b
2o26bo10bo$41bo2b2o4b2o2bo$42bo2b2o2b2o2bo$43bobo4bobo$40bo2bo3b2o3bo
2bo$43bo2b4o2bo$44bo6bo$40b2o3bob2obo3b2o$41bo12bo$43bo8bo$47b2o$47b2o
$45b2o2b2o$44bo6bo$43bo2b4o2bo$44b3o2b3o$44bobo2bobo$44b2o4b2o$42bo2b
6o2bo$41bo2bo6bo2bo$40bo2b2o6b2o2bo$40bo3bo2b2o2bo3bo$41b3obo4bob3o$
43bobo4bobo$44bo2b2o2bo3$46bo2bo2$47b2o$46bo2bo$46bo2bo19$2o2b2o2b2o
33b6o$2o2b2o2b2o33bob2obo$43bob2obo$43bob2obo$2o39bo8bo$2o38b2o8b2o$
42bo6bo$42bo6bo$2o2b2o2b2o32bobo2bobo$2o2b2o2b2o33bob2obo$40bo4b2o4bo$
40b2o8b2o$8b2o$8b2o30bo10bo$39b2o10b2o$39b2o10b2o$2o2b2o2b2o32bo6bo$2o
2b2o2b2o33bo4bo$41b2o6b2o$40bo10bo$39bo2b2o4b2o2bo$40bo2b2o2b2o2bo$41b
obo4bobo$38bo2bo3b2o3bo2bo$41bo2b4o2bo$42bo6bo$38b2o3bob2obo3b2o$39bo
12bo$41bo8bo$45b2o2$45b2o2$45b2o2$45b2o!

I paused my brief foray into 2c/5 when it became clear that c/2 was a more promising speed at which to find a rake. If/when I find anything more at 2c/5 I'll post it here.
Paul Tooke
 
Posts: 111
Joined: May 19th, 2010, 7:35 am
Location: Cambridge, UK

Re: 2x2

Postby Lewis » December 29th, 2010, 4:36 pm

I have found a P19 agar that only requires one spark in order to create an oscillator:
Here is the p19 rotor on it's own:
x = 8, y = 6, rule = B36/S125
2bo$obo$4b2o$2b2o$5bobo$5bo!

and here it is as part of the agar I found it in, showing the reaction required to stabilise it:
x = 234, y = 234, rule = 125/36
9bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o
9b2obo19bobo$9bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$
32bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$16bob2o9b2ob
o19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bo
bo$3bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo$17bo12bo8b
o14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$bob2o9b2obo19bobo17bob
o19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$bo39b2o14b
o8bo12bo39b2o14bo8bo12bo39b2o14bo8bo$2bo12bo8bo14b2o39bo12bo8b
o14b2o39bo12bo8bo14b2o$obo19bobo17bobo19bob2o9b2obo19bobo17bo
bo19bob2o9b2obo19bobo17bobo19bob2o9bo$26b2o14bo8bo12bo39b2o14b
o8bo12bo39b2o14bo8bo12bo$o8bo14b2o39bo12bo8bo14b2o39bo12bo8bo
14b2o39bo$7bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo$11b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14b
o8bo12bo$9b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$12bo
bo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo19bobo$12bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$35b
o12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$6b
o12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo$20bo12bo8bo14b
2o39bo12bo8bo14b2o39bo12bo8bo14b2o$4bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$4bo39b2o14bo8b
o12bo39b2o14bo8bo12bo39b2o14bo8bo$5bo12bo8bo14b2o39bo12bo8bo14b
2o39bo12bo8bo14b2o$2b2obo19bobo17bobo19bob2o9b2obo19bobo17bob
o19bob2o9b2obo19bobo17bobo19bob2o$29b2o14bo8bo12bo39b2o14bo8b
o12bo39b2o14bo8bo12bo$3bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b
2o39bo$10bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bo
bo17bobo19bob2o9b2obo$14b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14b
o8bo12bo$12b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$15b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo19bobo$o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39bo$38b
o12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$obo19bob2o9b2ob
o19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$o8b
o12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$23bo12bo8bo14b2o39b
o12bo8bo14b2o39bo12bo8bo14b2o$7bob2o9b2obo19bobo17bobo19bob2o
9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$7bo39b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo$8bo12bo8bo14b2o39bo12bo8bo14b2o
39bo12bo8bo14b2o$5b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o$32b2o14bo8bo12bo39b2o14bo8bo12b
o39b2o14bo8bo12bo$6bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o
39bo$13bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo
17bobo19bob2o9b2obo$17b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo
8bo12bo$o14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo$o17bob
o19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bo$2b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$3bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$3bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$26bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo14b2o$10bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo$10bo39b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o14bo8bo$11bo12bo8bo14b2o39bo12bo8bo14b2o39b
o12bo8bo14b2o$8b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo19bob2o$35b2o14bo8bo12bo39b2o14bo8bo12bo
39b2o14bo8bo12bo$9bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39b
o$16bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o9b2obo$20b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo
12bo$3bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo$bobo17b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo$5b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$3b2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$6bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$6bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$29bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo14b2o$13bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo$o12bo39b2o14bo8bo12bo
39b2o14bo8bo12bo39b2o14bo$14bo12bo8bo14b2o39bo12bo8bo14b2o39b
o12bo8bo14b2o$2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bo$38b2o14bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo$12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39b
o$19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o9b2obo$23b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo
12bo$6bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo$4bobo17b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo$8b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$6b2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$9bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$9bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$32bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo14b2o$16bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo$3bo12bo39b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo$17bo12bo8bo14b2o39bo12bo8bo14b2o39b
o12bo8bo14b2o$bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bob
o19bob2o9b2obo19bobo17bobo$bo39b2o14bo8bo12bo39b2o14bo8bo12bo
39b2o14bo8bo$2bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$
obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o9bo$26b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12b
o$o8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo$7bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$
11b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$9b2o39bo12bo
8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$12bobo19bob2o9b2obo19bobo
17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$12bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$35bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo14b2o$19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo$6bo12bo39b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo$20bo12bo8bo14b2o39bo12bo8bo14b2o39b
o12bo8bo14b2o$4bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bo
bo19bob2o9b2obo19bobo17bobo$4bo39b2o14bo8bo12bo39b2o14bo8bo12b
o39b2o14bo8bo$5bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o
$2b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bo
bo17bobo19bob2o$29b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12b
o$3bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo$10bobo17bob
o19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo$14b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$12b2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$15bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$o14bo8b
o12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39bo$38bo12bo8bo14b2o39b
o12bo8bo14b2o39bo12bo8bo14b2o$obo19bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo$o8bo12bo39b2o14bo8b
o12bo39b2o14bo8bo12bo39b2o$23bo12bo8bo14b2o39bo12bo8bo14b2o39b
o12bo8bo14b2o$7bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bo
bo19bob2o9b2obo19bobo17bobo$7bo39b2o14bo8bo12bo39b2o14bo8bo12b
o39b2o14bo8bo$8bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o
$5b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bo
bo17bobo19bob2o$32b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12b
o$6bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo$13bobo17bob
o19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo$17b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$o14b2o39b
o12bo8bo14b2o39bo12bo8bo14b2o39bo12bo$o17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bo$2b2o14bo8b
o12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$2o39bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo$3bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo$3bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o$26bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8b
o14b2o$10bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo$10bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo$11bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$8b
2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o$35b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$9b
o8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo$16bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$
20b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$3bo14b2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo$bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$5b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo$3b2o39bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo$6bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo$6bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o$29bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8b
o14b2o$13bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo$o12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b
2o14bo$14bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17b
obo19bo$38b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$12bo
8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo$19bobo17bobo19bo
b2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$23b
2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$6bo14b2o39bo12b
o8bo14b2o39bo12bo8bo14b2o39bo12bo$4bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$8b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo$6b2o39bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo$9bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo$9bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o$32bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8b
o14b2o$16bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo$3bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo
39b2o14bo$17bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$bo
b2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo$bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo$2bo12b
o8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9bo$26b2o
14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$o8bo14b2o39bo12bo
8bo14b2o39bo12bo8bo14b2o39bo$7bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$11b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o14bo8bo12bo$9b2o39bo12bo8bo14b2o39bo12bo8bo
14b2o39bo12bo8bo$12bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo
19bobo17bobo19bob2o9b2obo19bobo$12bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o$35bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8b
o14b2o$19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo
b2o9b2obo19bobo17bobo$6bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo
39b2o14bo$20bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$4b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo$4bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo$5bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$2b2obo19bobo17bo
bo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o$29b
2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$3bo8bo14b2o39bo
12bo8bo14b2o39bo12bo8bo14b2o39bo$10bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$14b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo$12b2o39bo12bo8bo14b2o39bo12b
o8bo14b2o39bo12bo8bo$15bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo19bobo17bobo19bob2o9b2obo19bobo$o14bo8bo12bo39b2o14bo8bo12b
o39b2o14bo8bo12bo39bo$38bo12bo8bo14b2o39bo12bo8bo14b2o39bo12b
o8bo14b2o$obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bo
bo19bob2o9b2obo19bobo$o8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12b
o39b2o$23bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$7bob2o
9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bob
o17bobo$7bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo$8bo12b
o8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$5b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o$32b2o14b
o8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo$6bo8bo14b2o39bo12bo8b
o14b2o39bo12bo8bo14b2o39bo$13bobo17bobo19bob2o9b2obo19bobo17b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo$17b2o14bo8bo12bo39b
2o14bo8bo12bo39b2o14bo8bo12bo$o14b2o39bo12bo8bo14b2o39bo12bo8b
o14b2o39bo12bo$o17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bo$2b2o14bo8bo12bo39b2o14bo8bo12bo39b
2o14bo8bo12bo$2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$3b
obo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b
2obo19bobo$3bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$26b
o12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$10bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$10b
o39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo$11bo12bo8bo14b2o
39bo12bo8bo14b2o39bo12bo8bo14b2o$8b2obo19bobo17bobo19bob2o9b2o
bo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o$35b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo$9bo8bo14b2o39bo12bo8bo14b2o
39bo12bo8bo14b2o39bo$16bobo17bobo19bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo$20b2o14bo8bo12bo39b2o14bo
8bo12bo39b2o14bo8bo12bo$3bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b
2o39bo12bo$bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo$5b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14b
o8bo12bo$3b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo$6bob
o19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2o
bo19bobo$6bo8bo12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o$29bo
12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b2o$13bob2o9b2obo19b
obo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19bobo17bobo$o
12bo39b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14bo$14bo12bo8bo14b2o
39bo12bo8bo14b2o39bo12bo8bo14b2o$2o9b2obo19bobo17bobo19bob2o9b
2obo19bobo17bobo19bob2o9b2obo19bobo17bobo19bo$38b2o14bo8bo12b
o39b2o14bo8bo12bo39b2o14bo8bo12bo$12bo8bo14b2o39bo12bo8bo14b2o
39bo12bo8bo14b2o39bo$19bobo17bobo19bob2o9b2obo19bobo17bobo19b
ob2o9b2obo19bobo17bobo19bob2o9b2obo$23b2o14bo8bo12bo39b2o14bo
8bo12bo39b2o14bo8bo12bo$6bo14b2o39bo12bo8bo14b2o39bo12bo8bo14b
2o39bo12bo$4bobo17bobo19bob2o9b2obo19bobo17bobo19bob2o9b2obo19b
obo17bobo19bob2o9b2obo$8b2o14bo8bo12bo39b2o14bo8bo12bo39b2o14b
o8bo12bo$6b2o39bo12bo8bo14b2o39bo12bo8bo14b2o39bo12bo8bo!


I've tried to stabilise it myself, but have had no luck so far. I'm posting this here so that if anyone else wants to try, they can.
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Lewis
 
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Joined: March 17th, 2009, 5:26 pm
Location: UK

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