Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
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Re: Oscillator Discussion Thread

Post by Sokwe » December 2nd, 2019, 3:48 am

Extrementhusiast wrote:
November 30th, 2019, 7:20 pm
Sokwe wrote:
November 28th, 2019, 6:54 am
There is a nice potential p49 in the osc-supported section of jslife consisting of 4 interacting traffic lights.
Completed:

Code: Select all

x = 189, y = 189, rule = B3/S23
93b2ob2o$94bobo$93bo3bo$92bob2obo$90b3obobo$89bo$89bob3obo$88b2obo3bo$
88bo3b2o$89b2obo$90bobob2ob2o$89bo2bo3bobo$90b2o4bobob2o$92b5ob2obo$
92bo4bo$93b3obob2o$95b2ob2o2bo$101b2o2$94bo$93bob2o$93bobo$92b2obob2ob
2o$92bo2bob3obo$93b2obob2obob2o$94bobo2b2o2bo$94bobo6bo$93b2obo2b4o$
94bob4o$91bo2bob2o3b2o$90bobob2o6bo$91b2o4bo4bob2o$93bobob2o2b2o2bo$
93bo4b2o3bo$90b2obo2bobob3o$90bobo3bobobo$92bobobo2bo$91bob3o$91bo4bo$
92b4o$96bo$94bo$93bobobobo$93bobob2obo$91b2obobo3bo$92bo4bobob2o$92bo
2bobo3bo$91b2obo2b3obo$89bo2bobo3bobob2o$89b2obobob3obo3bo$92bobo2bo2b
ob2o$92bo3bo2bobo$93b2o2b3obo$97bo2bo$98b2o3bo$100b4o$98b2o$98bo2bo$
95bo4b2o$94bobo5b2o$94bob5o2bo$91b2obo6b2o$91bo2b2ob4o$93bo4bobo$94b3o
bobobo$96bobob2obo$90bo6b3o3bo$90b3o7b2ob2o$93bo7bobo$92bo3bo3bo2bo$
92b2o3bob2obo$90b2o3bob2obob2o$89bo2b2o6bo3bo$90bobo3bo3b2ob2o$89b2o2b
o2bo4bobo$91bobobo2b3o3bo$89b2o2b4obo2b3o$90bobo3bo2b2o$89bo2b2o3b2o2b
o$89b2o8b3o$98bo$99b3o$97bo4bo$31b2o65b2ob2o$24bo6bo17bo17bo4b2obo$24b
3o6bo14bobo3b2o3b2o4b5obob2obo20bo$16b2o9bob4obo10bo2bobo4bo3bobo2bo5b
2o4bo5b2o12b2o$12b2o3bo4b3o2bobo2bobo10b3o3b2o2bob2o2bo3bob2o4b2obob2o
bobo11bo3bo$12bo2bo6bo2bobo6b2o7b2o3b3o2bobo2bobob4obob5obobobobo6bobo
4bobob2o79b2o$13bob2o6b3ob2o4bo2bo5bo2bobo3b2obobo3bobo3bo3bo4bobobobo
bo3b2obo5b2o11b2obobobo22b2o36bobob3o$10b4o2bo5b3o3bo3b4o7bo3b3o2bobob
2o2bob5o4bo3b2obobo2bo6bo7b3o8bob2ob2obo3b2o16bo13b2o3bo17bob2o4bo$ob
2o6bo3b2o6b2o4b2ob2o9b2ob3ob2ob2o6bobo3bo3b2o6bo3bo2b2ob2o23bo3bo3bo4b
2o13bo2bo5b2o2bo2bobo16bo4b2obo$2o2bo6b3o2bo3bo3b6o4b3obobo3bo4bobo7b
2o3b2o3bo3b2ob2o8bo2bo20b2o3b2ob2obo5bo9b8o4bo2b2o3b2o6b2o7b2ob4obob2o
$3bo2b2o2bo2bob2o3b4o6bobo4bobo2b2o2bo11bo3bobo6bo3b2o10b2o21bob3obobo
bo4bo10bo8b2o2bobo2b3o4bo2bob3o4bobo4bobo3bobo$2ob2o5bo2bobo3bo4b7o5b
2obobo2bo2b4obo6b4obo11bo35bo11bob4o6bob4o2bo2bobob2o5b7o4bo3bobo2bo5b
2ob2o$obo3bobo4bobo4b3obo2bo4b3o2bobo2b2o8bo10bo4bobobob3obo21b2o10b2o
3bo6bobo3bo11bo2b2o2bobo4bobo6b4o3b2obo2bo2b2o2bo$3b2obob4ob2o7b2o6b2o
3b2o2bo4b8o9bo5bob2ob2o3b2o20bo2bo8b2ob2o3bo3b2o3b2o7bobo4bo3bobob3o4b
6o3bo3bo2b3o6bo2b2o$4bob2o4bo16bobo2bo2b2o5bo2bo13b2o4bo3bo3bo23b2ob2o
2bo3bo6b2o3bo3bobo6b2ob2ob3ob2o9b2ob2o4b2o6b2o3bo6b2obo$4bo4b2obo17bo
3b2o13bo16b2o3bob2ob2obo8b3o7bo6bo2bobob2o3bo4b5obo2b2obobo2b3o3bo7b4o
3bo3b3o5bo2b4o$5b3obobo36b2o22bobobob2o11b2o5bob2o3bobobobobo4bo3bo3bo
bo3bobob2o3bobo2bo5bo2bo4b2ob3o6b2obo$7b2o79b2obobo4bobo6bobobobob5obo
b4obobo2bobo2b3o3b2o7b2o6bobo2bo6bo2bo$89bo3bo11bobob2obob2o4b2obo3bo
2b2obo2b2o3b3o10bobo2bobo2b3o4bo3b2o$91b2o12b2o5bo4b2o5bo2bobo3bo4bobo
2bo10bob4obo9b2o$91bo20bob2obob5o4b2o3b2o3bobo14bo6b3o$113bob2o4bo17bo
17bo6bo$86b2ob2o65b2o$86bo4bo$87b3o$90bo$87b3o8b2o$87bo2b2o3b2o2bo$88b
2o2bo3bobo$85b3o2bob4o2b2o$84bo3b3o2bobobo$85bobo4bo2bo2b2o$84b2ob2o3b
o3bobo$84bo3bo6b2o2bo$85b2obob2obo3b2o$86bob2obo3b2o$85bo2bo3bo3bo$85b
obo7bo$84b2ob2o7b3o$85bo3b3o6bo$85bob2obobo$86bobobob3o$88bobo4bo$88b
4ob2o2bo$86b2o6bob2o$85bo2b5obo$85b2o5bobo$87b2o4bo$87bo2bo$89b2o$85b
4o$85bo3b2o$88bo2bo$87bob3o2b2o$87bobo2bo3bo$85b2obo2bo2bobo$84bo3bob
3obobob2o$85b2obobo3bobo2bo$87bob3o2bob2o$87bo3bobo2bo$86b2obobo4bo$
88bo3bobob2o$88bob2obobo$89bobobobo$94bo$92bo$93b4o$92bo4bo$93b3obo$
89bo2bobobo$88bobobo3bobo$86b3obobo2bob2o$85bo3b2o4bo$83bo2b2o2b2obobo
$83b2obo4bo4b2o$86bo6b2obobo$86b2o3b2obo2bo$89b4obo$86b4o2bob2o$85bo6b
obo$85bo2b2o2bobo$84b2obob2obob2o$87bob3obo2bo$87b2ob2obob2o$93bobo$
92b2obo$94bo2$86b2o$86bo2b2ob2o$88b2obob3o$91bo4bo$87bob2ob5o$87b2obob
o4b2o$90bobo3bo2bo$90b2ob2obobo$96bob2o$95b2o3bo$93bo3bob2o$93bob3obo$
99bo$92bobob3o$91bob2obo$91bo3bo$92bobo$91b2ob2o!
Wonderful! Glider loops are nice, but I much more enjoy oscillators with a unique engine like this. I'm sure a smaller p7 exists.

I think we now have at least one nice engine-based oscillator for all periods below 57 except 19, 34, 38, 39, 41, 43, and 53. I was hopeful that the new p13s might lead to supports for a p39 engine, but I can't seem to find any potential engines. The p39 wicks in jslife seem too complicated to stabilize, there are no p39s in the osc-supported section, and I don't even seem to have any p39 agars.
-Matthias Merzenich

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 3rd, 2019, 12:33 am

EDIT: That oscillator could be called the "Doubly skewed pre-pulsar hassler"

Oscillator Delivery Service:

Found a stabilization for this wick, but not a true period one.

Code: Select all

x = 13, y = 99, rule = B3/S23:T0,100
b3o5b3o$o2bo5bo2bo$2o3b3o3b2o$5bobo$5bo2bo$6b2o$2o9b2o$o2bo5bo2bo$b3o
5b3o2$b3o5b3o$o2bo5bo2bo$2o9b2o$6b2o$5bo2bo$5bobo$2o3b3o3b2o$o2bo5bo2b
o$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o3b3o3b2o$5bobo$5bo2bo$6b2o$2o9b2o$o2bo
5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o9b2o$6b2o$5bo2bo$5bobo$2o3b3o3b2o
$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o3b3o3b2o$5bobo$5bo2bo$6b2o$
2o9b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o9b2o$6b2o$5bo2bo$5bobo
$2o3b3o3b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o3b3o3b2o$5bobo$5b
o2bo$6b2o$2o9b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o9b2o$6b2o$5b
o2bo$5bobo$2o3b3o3b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o3b3o3b
2o$5bobo$5bo2bo$6b2o$2o9b2o$o2bo5bo2bo$b3o5b3o2$b3o5b3o$o2bo5bo2bo$2o
9b2o$6b2o$5bo2bo$5bobo$2o3b3o3b2o$o2bo5bo2bo$b3o5b3o!
Pseudo-P14: (True period is 70):

Code: Select all

x = 382, y = 751, rule = B3/S23
198b3o$197b4o$190b2o4b2o3b4o$190b2o3b2o2b2ob3o$197b4o4$197b4o$190b2o3b
2o2b2ob3o$190b2o4b2o3b4o85b3o$197b4o85b2o2bo2bo5b2o$198b3o85b2o2b2ob2o
4b2o$292bobo$202bo$201b2o$201bobo$292bobo$286b2o2b2ob2o4b2o$286b2o2bo
2bo5b2o$270b2o5b2o11b3o$270b2o5b2o3$291bo$292b2o$271b2o3b2o13b2o$195b
2o73b2o5b2o$195b2o5b2o65bo2bo3bo2bo$202b2o65bobo5bobo$166b2o15bobo83b
3o5b3o$167bo15b2o$166bo17bo9b3o3bo18b2o$166b2o20b2o4b3o4bo16b2o50b2o5b
2o$188b2o3bob2o3b3o3b2o12bo49b2o5b2o$194b2o4b2o4b2o$194b2o4bo36b2o5b2o
$171b2o64b2o5b2o61b3o6b2obo$169b2o2bo117bo18bo5bob2o$169bo5bob2o111b2o
15bo2bo$179bo16b3o91bobo15b2o$171b2o6bo15b2ob2o37b2o5b2o$168bo3bo5b2o
15b2obobo35b2obo3bob2o$167b3o3bo22bo3bo37b2o3b2o$168b2o3bo3bo18bo2bo
39b2ob2o$175bo4bo16b3o40bobo$179bo8b2ob2o46b2ob2o$179b3o4bo2bobobo$
186b2obo2bo16b2o$140b2o5b2o40bo19bo26bobo5bobo$140b2o5b2o40b2o16bobo
18b2o7b2o5b2o$140b2o5b2o10b3o25b2o2bobo13b2o20b2o$140bo7bo12bo24bo2bo
2b2o34bo$138b2ob2o3b2ob2o9bo26b2o$138b2ob2o3b2ob2o$138b2o2bo3bo2b2o$
139b2obo3bob2o48bo109b2o$140b2o5b2o48bo99bo3b2o4b2o$141bo5bo48b2o85bo
12bobo2bo7bo$196b3o37b2o45b3o10bobo4bo$57b3o132b2o3bo2b3o33bo17b2o30bo
10bob5o8b3o8b3o$56b4o132b2o3bob4o31bobo17bo30b2o12bo11b4o8bo15b2o5b2o$
49b2o4b2o3b4o76b2o5b2o43b2o2b2o2bobo31b2o19bo11bo30bo3b2o5b2obo2bo8bo
14b2o5b2o$49b2o3b2o2b2ob3o76b2o5b2o13bo26b2o3bobob2o2b3o49b2o9b3o29bo
3bobo5b2ob2obo$56b4o102bobo23bobo13bo59bo32b2o3bo7bo4bo$162b2o24bo15b
2obo56b2o10b2o32bo2bo24b3o5b3o$110b2o75b2o16b3o12b2o54bo34b3o7b2o15bob
o5bobo$109bobo94bo4bo8b2o52bobo24b2o18b2o15bo2bo3bo2bo$56b4o43b2o4bo
101b2o35b4o22b2o26b2o35b2o5b2o$49b2o3b2o2b2ob3o37bo2bo2b2ob4o39b3o54bo
bo31bo3b3ob2o47bo38b2o3b2o$49b2o4b2o3b4o37b2obobobo4bo39b4o65bobo18b5o
bo19b2o19b3o$56b4o11b2o5b2o24bobo3bo38b4o3b2o4b2o61bo16b2ob5o18b2obo
44b2o$57b3o11b2o5b2o24bo5bo38b3ob2o2b2o3b2o61bo17bob2o2bo4bo12bobob2o
15b2obobob2o19b2o$105b2o46b4o37b2o26bo2bo18b5o3b2o12b2obo2bo15bo2bobo
26b2o$108bobo84bo27b3o19b3o5bo13b2o19b3obo27b2o17b2o5b2o$110bo7b2o75bo
bo42bo27b4o3bo19b2o42b2o5b2o$72bo5bo27bo2b2o7bo77b2o43b2o33bo14bo4bo$
71b2o5b2o36bobo34b4o83b2o32b3o8b2o8bo18b2o$70b2obo3bob2o23bo3bo7b2o31b
3ob2o2b2o3b2o96b2o23b2o7bo3b2o14b2o11b3o$69b2o2bo3bo2b2o21bo4bo40b4o3b
2o4b2o97bo36bo30bo$69b2ob2o3b2ob2o5b2o14b3o47b4o10b2o89b3o38b3o26bo$
69b2ob2o3b2ob2o6bo64b3o11bo17b2o71bo42bo$65b2o4bo7bo8bobo74bobo17bo6b
2o$49bobo14b2o3b2o5b2o9b2o69b2o3b2o19bo6bo$49b2o14bo5b2o5b2o82b2o21b2o
6bob2o$50bo20b2o5b2o26b2o49bo5bo30bo3b2o$93b2o12bo55bo35bo$92bo2bo8b3o
44b6obo$30bob2o9bo49bobo8bo46b4o2bobo25bo10bobo8b2o$30b2obo9bo50bo59b
2obobob2o22bo11b2ob2obo3bobo31b2o$39bo3bo139b3o13bo3bo5bo30b2o$38bobo
79b2o34b3o23b2o15bo9b2o31bo20b2o5b2o$38bo3bo77bobo44bo13b2o17b3o59bobo
5bobo$41bobo49b3o24bo47b2o12b2o73bobo33bo$38b2obob2o58bobo61b2o89b3o
30bobo$38b2o52bobobo7b2o98b2o52b3o4b2ob2o22b2o16b2o$90b4ob4o5bo34b2o5b
2o11bo44bo61bobo40bobo$89bo9bo39b2o5b2o10b2o29b2o14b3o57b2ob2o41bo$42b
o45bob2o5b2obo57bobo29bo16bo56b2o3b2o$40b2ob2o3bo38bo2bobo3bobo2bo85b
3o6bo65b2obo3bob2o$48b2o37b2o3b2ob2o3b2o36b3o5b3o38bo7bobo65b2o5b2o$
39bobo5bobo41b2o3b2o40bobo5bobo47bo$39bo3bo47b2o3b2o40bo2bo3bo2bo$32b
2o5b2o2bo47b2o3b2o41b2o5b2o99bo$31bobo6b3o48b2o3b2o42b2o3b2o99b3o14b2o
5b2o$33bo7bo182bobo15b2obo3b2o4b2o6b2o5b2o$223bo18b2o2b2o2bo4b2o50b3o$
223bo23b2obo55b4o$47b2o3bo170bo2bo72b2o4b2o3b4o$48bo2bobo12bo64b2o6b2o
5b2o75b3o73b2o3b2o2b2ob3o$33b2o11bo4bobo10b3o22bo40bobo6b2o5b2o36bobo
119b4o$32bo2bo10b5obo10bo25b3o29bo10bo52b2o60b2obo$2b2o5b2o20b6o13bo
12b2o27bo29b2o61bo8b2o5b2o39b2o2b2o2bo4b2o$2b2o5b2o20b6o9b2o3bo39b2o
28b2o71b2o5b2o39b2obo3b2o4b2o$2b2o5b2o20b2o13bobo3bo123b2o16b2o5b2o43b
3o57b4o$2bo7bo19b3o14bo3b2o7bobo31bo80b2o17bo7bo44bo51b2o3b2o2b2ob3o$
2ob2o3b2ob2o17b2o28bo2bo9bo42bo60bo14b2ob2o3b2ob2o94b2o4b2o3b4o$2ob2o
3b2ob2o14b2ob2o31bo9b3o38b3o75b2ob2o3b2ob2o101b4o$2o2bo3bo2b2o14bobobo
11b2o15bobo13bo36bo41bobo34b2o2bo3bo2b2o102b3o$b2obo3bob2o16b4o6b2o2b
3o2b2o26b2o13b2o21b2o39bo38b2obo3bob2o$2b2o5b2o18b2o7bo2bobo4b2o41b2o
32b3obo24bo39b2o5b2o$3bo5bo4b3o17b2o3bo3bob2obo41b2o33b2o2b2o23bo2bo
37bo5bo$16bo16bo2bo5bo3b2o40b3o34b2o2bobo22b3o$15bo16bo3bo51bo25b2o10b
6o$28b2o2bo2bo49b4o28bo8b2o2b2o$2b2o5b2o17b2o2bo2bo49b2o27bo2bo8b5o47b
2o14b2o5b2o$2b2o5b2o56b2o16b3o26bo2bo7b2obo44b2o2b2obo5b2o6b2o5b2o$66b
o2b2o15bobo21b2o3b2o9b2o45b2o3bobo5b2o$33bo2bo28b3o2bo10bo2bo3bo21bo2b
2o65bo$34b2o14b2o13bo4bo11b6o12b2o12bo23bobo41bo$51bo13b5o13b2o2b2o12b
o7bo3bo25b2o$48b3o15b2o30b3o6bo20b2o9bo42bo$48bo39bo9bo6b3ob2o17bo51bo
$85b3o16bo24b3o41b2o3bobo5b2o$66bo18b3o17b3ob2o20bo41b2o2b2obo5b2o$66b
obo38bobo68b2o$66b2o20b2o17bobo35bobo$88bo19bo10b2o25b2o$89b3o27bo26bo
$30b3o58bo28b3o$30bo91bo40bo58bobo$31bo128b4o61bo106b3o$161bo2bo60bo
98b2o5bo2bo2b2o$119b2o41bobo2bo54bo2bo98b2o4b2ob2o2b2o$119b2o40b2ob4o
55b3o104bobo$163bo$130b2o24bo6bobo$128b2ob2o24b2o5b2o$128b4o24b2o172bo
bo$129b2o193b2o4b2ob2o2b2o$63bo95bobo162b2o5bo2bo2b2o$49bo12b3o87b3o5b
2o170b3o$48bo9b2obo3b2o4b2o78b5o4bo$48b3o7b2o2b2o2bo4b2o77bob3obo6bo$
63b2obo81b3o5b3o5b2o$147bo3bo3bo3bo3b2o$147bob3obob4o$114b2o32bo3b3o$
37bo6bo18b2obo48bo34bobobob2obo$36bo7b2o3b2o7b2o2b2o2bo4b2o39b3o34b2o
2bo2bob2o$36b2o5bobo3b2o7b2obo3b2o4b2o39bo37bobo2bo$40bob3o17b3o15b2o
5b2o34b3o14b2o8bo2b2o$40b3o20bo16b2o5b2o33bo2bo14bobo6b2o175bo16b2o$
122bo3bo13bo183b2o16b2o$40b3o24bobo10bo7bo32b2o2bo47bobo149b2o17bo$40b
ob3o22b2o10bobo5bobo33bo8bo25b2o5b2o7b2o$36b2o5bobo3b2o17bo9b2ob2o3b2o
b2o33b2o4bobo25b2o5b2o7bo$36bo7b2o3b2o28bo2bo3bo2bo34b3o4b2o44bo151b2o
$37bo6bo35bo7bo35b3o51b2o149b2o5b2o$80b3o3b3o88b2o157b2o$158b2o5b2o
133b2o$121b3o33bo2bo3bo2bo12bobo118bo$121b2o3b2o28bo3bo3bo3bo12b2o117b
o33b2o$121b4ob2o32b2ob2o16bo118b2o32b2o$80b2o5b2o33bob2o29bo5bobo5bo
170b2o$80b2o5b2o24b2o6bo34bo3bo3bo3bo55bobo97b2o14b2o$114bo7bo37bo3bo
58bo100b2o45b2o5b2o$114bobo8b3o29bo9bo55bo99bo2bo44b2o5b2o$39bob2o8bo
41bo15b2o4b2o40bo2bo3bo2bo55bo2bo93bo2bob2o$39b2obo6b4o39bobo7b4o4bo
20b2o16b2o7b2o5b2o56b3o76b2o15bo2bo38bo$48bo4bo39bo7bob2obo3bobo18bo
16bobo151b2o3bobo10bobo37b2o$48bobobo12b2o34b2o2b2o4b2o16bobo18bo40bo
109bobo3b2o51bobo9bo5bo$49b2o15b2o23b5o5b2o2b2o10b2o10b2o61b2o106bo2bo
4bo62b2o5b2o$65bo24bo4bo5bob2obo7b2ob3o71b2o108bo68b2obo3bob2o$89bo2bo
9b4o8b2o3b2o181b2o65b2o2bo3bo2b2o$49b3o34bo2bob2o23bobo2bo27b2o43bobo
172b2ob2o3b2ob2o$51bo33bobobo5bo20b3o2b2o21b2o2b2obo5b2o36b2o125b2ob2o
42b2ob2o3b2ob2o$50bo35bo2bo4bobo19bobob2o22b2o3bobo5b2o36bo124bo2bobob
o43bo7bo$89b2o2bo2bo23bo30bo46bo121b2obo2bo5b2o9b2o26b2o5b2o$94b2o14bo
42bo45b2o73b2o5b2o40bo8bobo8bo27b2o5b2o$109bo88b2o74b2o5b2o40b2o7bo8bo
bo27b2o5b2o$109b3o41bo167b2o2bobo13b2o$151bo168bo2bo2b2o8b2o$123b2o19b
2o3bobo5b2o114b3o5b3o37b2o11bo2b2o$123b2o2b2o15b2o2b2obo5b2o114bobo5bo
bo50bo4bo$99b3o7bo3b2o12bobo19b2o122bo2bo3bo2bo20bo29bob4o$99bo2bo5bob
o3bo14bo144b2o5b2o20bo30b2o2bo$48bo49bo3bo5b2o3bo15b2o144b2o3b2o21b3o
29b3o17bo$48bo7b2o3bo22bo13b3o2bo8bo173b2o48bo18b2o$49bo7bo2bobo12bo8b
3o12b4o5b5obo93bobo74bobo66bobo$47b2o6bo4bobo10b3o11bo2b2o16bo4bobo93b
2o76bo$45b4o6b5obo10bo13bo2bobo13b2obob3o2bo93bo$11b2o5b2o12b2o10bo2bo
11bo12b2o11bob2o7bobo6bobo2bo4b2o95bo61b2o5b2o$11b2o5b2o11bobo10bo2bo
7b2o3bo24bobo8b2o9bobo103b2o59b2o5b2o40b2o15b2o$33bo11b3o7bobo3bo22b2o
bo2bo6bo9b2o103b2o108bobo15b2o$56bo3b2o21bo3bobobo230bo$82bo2b3ob2o
124bobo103b2o$36b2o44b3o131b2o$11b3o3b3o16b2o47bo17b4o109bo$11bo7bo38b
o25b2o16bob2obo122bobo$10bo2bo3bo2bo36b2o43b2o2b2o121b2ob2o53b3o$9b2ob
2o3b2ob2o35bobo3b2o37b2o2b2o121bo3bo49b2o2bo2bo5b2o$10bobo5bobo20b2o
20b4o20b2o13bob2obo6b2o115bobo2bo46b2o2b2ob2o4b2o$11bo7bo21b2o19bo4bo
19b2o14b4o6bo2bo105bobo5b2ob4o52bobo36b2o$37b2o22b4o2bo18bo2bo61b2o70b
2o7bo96bo7b3o$11b2o5b2o17b2o22b2obob2o15bo2bob2o21bo38b4o33b2o34bo8bob
o94bobo6b2o$11b2o5b2o41b2o19bo2bo25bo5b2o31b2ob2o30b2ob2o36bo6b2o95b2o
4bobo$63b3o17bobo31bo3b3o28b2o31b4o38b2o60bobo44bo$43b2o27b2o24b2o6b2o
4bo2b2o4bo64b2o38b2o55b2o2b2ob2o4b2o36b2o$43b2o14b2o11b2o23bo2bo2b2o2b
o4bo9bo99bo60b2o2bo2bo5b2o37bobo$31b2o27bo36bobo4bobo6b2o105bo3bo4bobo
55b3o11b2o33b2o$31bobo23b3o38bo5bob2o122b2o69bo17b2o$31bo25bo43b2obo
114bo5bo4bo68bobo17bo6b2o$101bo2bo112b3ob3ob3o5bo65b2o19bo6bo$98bo4bo
112bo3b2ob2o3bo5b2o83b2o6bobo$98b5o113bob3obob4o5b2o93b2o$109b2o106bo$
100bo9bo108bobobob2obo56b2o$99bobo5b3o108b2ob3obob2o56b2o41bo12b2o$
100bo6bo111bobo2bo101bo3bo10bobo$123bo95bo2b2o16bo58b2o15b2o13bo11bo$
121bobo94b2o21b2o54b2ob2o14b2o6b2o5b2o10b2o$67bo54b2o116b2o55b2ob2o22b
o8bo$66bo230b3o24bo4bobo$66b3o70b2o12b2o5b2o81bobo79b3o3bo2bo$139bobo
11b2o5b2o82b2o84bo2b2o3b2o$139bo104bo85b3o5bo$247bo75b2o6bo7b3o$48b3o
67b3o127b2o74bo16bo$48bo68bo2bo126b2o72b3o6bo$49bo67bo4bo30b3o3b3o159b
o7bobo$117bo35bo7bo88bobo77bo$123bo28bo2bo3bo2bo88b2o58bo$118bo32b2ob
2o3b2ob2o87bo35bobo22b2o$115b2o5bo29bobo5bobo127bo9b2o9b2o$114b2ob2ob
2o31bo7bo128bo8b2o$54bo53b2obo3bo4bo166bo2bo10bo$52bo2bo52bob2o4bo2bo
20bo12b2o5b2o126b3o$51bo5b2o57b2o23bo11b2o5b2o95bobo$45b2o3bo8bo79b3o
116b2o$45b2o3bo8bo68b2o128bo$51b3ob2obo69bo132bo$53b2o71bobo133b2o64b
2o5b2o$126b2o133b2o65b2o5b2o$53b2o90bo6bo$51b3ob2obo80b2o3b2o7bo110bob
o$45b2o3bo8bo52b2o25b2o3bobo5b2o111b2o60b3o5b3o$45b2o3bo8bo51bobo31b3o
bo115bo61bobo5bobo$51bo5b2o52bo35b3o118bo58bo2bo3bo2bo$52bo2bo54b2o
157b2o57b2o5b2o$54bo92b3o118b2o49bo9b2o3b2o$72b3o46b2o22b3obo167b2o$
68b2o2bo2bo5b2o37bobo16b2o3bobo5b2o163b3o$68b2o2b2ob2o4b2o36b2o18b2o3b
2o7bo163b2o$74bobo44bo23bo6bo$121bobo80b2o69bo37bo6bo7b2o5b2o$115b2o6b
2o74b2o2b2obo5b2o62b2o29b2o3b2o7bo6b2o5b2o$116bo5b3o74b2o3bobo5b2o61b
2o30b2o3bobo5b2o$74bobo36b3o90bo106b3obo$68b2o2b2ob2o4b2o30bo94bo69bob
o34b3o$68b2o2bo2bo5b2o196b2o$72b3o133bo70bo35b3o$206bo75bo30b3obo$199b
2o3bobo5b2o69b2o22b2o3bobo5b2o$199b2o2b2obo5b2o68b2o10b2ob2o8b2o3b2o7b
o$106b2o96b2o15b2o5b2o64b2ob2o14bo6bo$107bo113b2o5b2o55bobo6bobob2o$
107bobo15b2o83bo26b2o47b2o8bobo2bo$59b2o5b2o40b2o15b2o81b2o27b2o47bo8b
2ob4o$59b2o5b2o141b2o10bo7bo24b2o33bo7bo$220b3o5b3o22b4o33b2o5bobo$72b
o147bo9bo22b2ob2o31b2o7b2o$70bobo66bobo79b3o3b3o25b2o$71b2o48bo18b2o
150bobo$60b2o3b2o21b3o29b3o17bo83bobo66b2o$59b2o5b2o20bo30b2o2bo169bo$
58bo2bo3bo2bo20bo29bob4o171bo$58bobo5bobo50bo4bo159b2obob2o6b2o$58b3o
5b3o37b2o11bo2b2o97b2o5b2o52b3obobob3o3b2o$105bo2bo2b2o8b2o98b2o5b2o
12bo38bo11bo$106b2o2bobo13b2o113b3o37bob3obob4o6bobo$59b2o5b2o40b2o7bo
8bobo27b2o5b2o67b2o6bo41bo3b3o11b2o$59b2o5b2o40bo8bobo8bo27b2o5b2o15bo
b2o49bo7b2o11b3o27bobobob2obo6bo$105b2obo2bo5b2o9b2o26b2o5b2o15b2obo7b
3o36b3o8bo12bo28b2obobobob2o9bo$105bo2bobobo43bo7bo25bob2o36bo24bo28bo
bo2bo14b2o$107b2ob2o42b2ob2o3b2ob2o22b2o3bo11bo77bo2b2o14b2o$154b2ob2o
3b2ob2o26bo12b2o75b2o$87b2o65b2o2bo3bo2b2o38bobo98bobo$86bo68b2obo3bob
2o141b2o$85bo2bo4bo62b2o5b2o25b2o84b2o5b2o22bo$86bobo3b2o51bobo9bo5bo
25bobo84b2o5b2o25bo$87b2o3bobo10bobo37b2o44bo119b2o$87b2o15bo2bo38bo
106bo56b2o$105bo2bob2o142bo$108bo2bo44b2o5b2o87b3o21b2o5b2o28bobo$109b
2o45b2o5b2o110bo2bo3bo2bo28b2o$109b2o14b2o147bo3bo3bo3bo27bo$125b2o
151b2ob2o34bo$85b2o32b2o119b2o31bo5bobo5bo30b2o$85bo33b2o119b2o32bo3bo
3bo3bo30b2o$86bo183b3o5bo3bo$85b2o144b2obo37bo2bo9bo34bobo$121b2o65b3o
6b2o3bo28bob2o36bo3bo2bo3bo2bo35b2o$114b2o5b2o66b2o7bo2bobo12bo32b2o
25b2o5b2o36bo$114b2o71bobo6bo4bobo10b3o32bo74bo$187bo8b5obo10bo33bobo
75b2o$152b2o5b2o24b2o13bo12b2o27bo4b2o75b2o$110b2o17bo22b2o5b2o11b3o
11bobo7b2o3bo39b3o$109b2o16b2o45bo12b2o7bobo3bo29bo7bo2b2o82bobo$111bo
16b2o43bo23bo3b2o29b3o4b5o23b2o59b2o$223bo11bo3b4o19b2o2b2obo5b2o51bo$
155bobo19b2o44b3o8b2o3b4o7bo11b2o3bobo5b2o54bo$177b2o47bo13b2obob2o2bo
bo17bo62b2o$152b3o3b3o64b2o14bo4bo3bo20bo59b2o$151bo9bo37b2o41b2o2bo$
151b3o5b3o36b2o42b4o25bo62bobo$152bo7bo21b2o16bo3b2o38bo24bo65b2o$182b
2o19b2ob2o19b3o32b2o3bobo5b2o58bo$178b2o23b2o2bo17bo4bo31b2o2b2obo5b2o
61bo$152b2o5b2o17b2o23bo3bo19bob2o36b2o70b2o$117b3o32b2o5b2o42bob2o17b
3o18b2o91b2o$109b2o5bo2bo2b2o80bo18bo21bobo$109b2o4b2ob2o2b2o60b2o27b
2o32bo93bobo$115bobo66b2o14b2o11b2o23b2o7b2o93b2o$201bo36bo103bo$172b
3o23b3o38b3o103bo$172bo25bo42bo104b2o$115bobo55bo171b2o$109b2o4b2ob2o
2b2o$109b2o5bo2bo2b2o224bobo$117b3o229b2o$349bo$352bo$353b2o$352b2o2$
208bo146bobo$208bobo145b2o$208b2o146bo$359bo$360b2o$359b2o$190b2o$190b
obo169bobo$190bo172b2o$363bo$366bo$367b2o$366b2o2$369bobo$195bo174b2o$
194b3o173bo$186b2o4b2o3bob2o172bo$186b2o4bo2b2o2b2o173b2o$192bob2o177b
2o2$380b2o$378bo2bo$192bob2o173b2o7b3o$186b2o4bo2b2o2b2o169bo$186b2o4b
2o3bob2o169bobo5b3o$194b3o174b2o5bo2bo$195bo184b2o$375b2o$374bo2bo$
374bobo$191bo182b3o3b2o$190b3o178b2o5bo2bo$186b2obo3b2o4b2o169bobo5b3o
$186b2o2b2o2bo4b2o169bo$191b2obo174b2o7b3o$378bo2bo$375b2o3b2o$374bobo
$191b2obo181bo$186b2o2b2o2bo4b2o$186b2obo3b2o4b2o170b3o$190b3o180bo$
191bo180bo$368b2o$367bobo$369bo2$193bo170b3o$191b2o173bo$192b2o171bo$
361b2o$360bobo$362bo2$357b3o$359bo$358bo$210b2o142b2o$209b2o142bobo$
211bo143bo2$350b3o$352bo$113b3o235bo$109b2o2bo2bo5b2o223b2o$109b2o2b2o
b2o4b2o50bobo169bobo$115bobo56b2o172bo$175bo22bo42bo$198b3o38b3o101b3o
$201bo22b2ob2o9bo106bo$115bobo66b2o14b2o11b2o9bo4b2o7b2o7b2o95bo$109b
2o2b2ob2o4b2o60b2o27b2o7b2o23bo92b2o$109b2o2bo2bo5b2o98b2obo4bo14bobo
91bobo$113b3o36b2o5b2o61b2obo2b2o15b2o94bo$152b2o5b2o17b2o22b3o20bo2bo
41b2o$178b2o20bo4bo56b2o5bob2o2b2o59b3o$182b2o18bob2o56b2o5bobo3b2o61b
o$182b2o15b3o67bo67bo$155bobo40bo46bo21bo65b2o$244b2o86bobo$152b3o3b3o
64b2o23bo16bo66bo$151bo9bo15b2o47bo14bo2bo4bobo17bo$112bo38b3o5b3o15b
2o44b3o8b2o5bo2bo5bo11b2o5bobo3b2o52b3o$111bo40bo7bo9bobo50bo11bo5b3o
18b2o5bob2o2b2o54bo$111b3o57b2o24bo3b2o29b3o35b2o58bo$171bo19bo4bobo3b
o29bo93b2o$129b3o20b2o5b2o27b6o2b2o3bo123bobo$129bo22b2o5b2o27b2o2b2o
6bo12b2o32b2o78bo$130bo65b5obo10bo33bobo$114b2o73bo6bo4bobo10b3o32bo
72b3o$114b2o5b2o66bo2b2o4bo2bobo12bo32b2o17bobo5b2o5b2o39bo$121b2o65bo
3b2o3b2o3bo28bob2o34b2o5b2o5b2o38bo$85b2o102bo41b2obo34bo49b2o$86bo
102bobo126bobo$85bo33b2o69bo49b2o78bo$85b2o32b2o120bo34b2o5b2o$125b2o
148bo2bo3bo2bo29b3o$125b2o147bo3bo3bo3bo30bo$156b2o5b2o113b2ob2o33bo$
156b2o5b2o108bo5bobo5bo24b2o$94bo9b3ob3o45b2o5b2o23bo62bo22bo3bo3bo3bo
24bobo$88b2o4bobo6b4obo2bo44bo7bo24b2o60b2o25bo3bo30bo$88b2o4b2o6bobo
49b2ob2o3b2ob2o21b2o60bobo22bo9bo$111bo35b2o5b2ob2o3b2ob2o108bo2bo3bo
2bo22b3o$87bo16b3o40bobo4b2o2bo3bo2b2o38bo70b2o5b2o25bo$87b2o16b2o2b2o
36bo7b2obo3bob2o37bobo103bo$86bobo67b2o5b2o39b2o99b2o$157bo5bo25b2o52b
o39b2o19bobo$107b2ob2o77b2o2b2o44bo3bo12bobo25bo2b2o17bo$105bo2bobobo
80bobo34bo9bo2bo12b2o26bobo2bo$105b2obo2bo16b2o50b2obo9bo36b3o7b2ob2o
12bo25b2o2bo2bob2o7b3o$59b2o5b2o40bo9b3o7bo27b2o5b2o15bob2o49bo7bobo
40bobobob2obo9bo$59b2o5b2o40b2o8b2o6bobo27b2o5b2o67b2o8bo39bo3b3o13bo$
106b2o2bobo6bobo4b2o153bob3obob4o5b2o$105bo2bo2b2o8bo99b2o5b2o51bo3bo
3bo3bo3bobo$106b2o14b2o97b2o5b2o52b3o5b3o6bo$90bobo27bobo161bob3obo$
60b2o3b2o23b2o28b2o163b5o4b3o$59b2o5b2o23bo129bo7bo56b3o7bo$58bo2bo3bo
2bo151b3o5b3o64bo$58bobo5bobo151bo9bo60b2o$58b3o5b3o69b2o81b3o3b3o20b
4o36bobo$73bo63bobo71bo37bo3bo38bo5b2o$72b2o65bo71bobo10bobo26bo43bobo
$59b2o5b2o4bobo136b2o36bo2bo34b3o7bo$59b2o5b2o40b2o15b2o110b2o50bo5b2o
b4o$107bobo15b2o110b2o49bo7bobo2bo$107bo113b2o5b2o54b2o9bo2bo$106b2o
99b2o12b2o5b2o53bobo8b4o10bo6bo$199b2o5bob2o2b2o71bo11bo9bo7b2o3b2o$
199b2o5bobo3b2o93b2o5bobo3b2o$206bo73b3o28bob3o$76b3o125bo77bo28b3o$
68b2o5bo2bo2b2o41bo156bo$68b2o4b2ob2o2b2o30bo9bobo78bo72b2o32b3o$74bob
o36b3o7bo82bo69bobo32bob3o$116bo5bo3b2o71b2o5bobo3b2o64bo28b2o5bobo3b
2o$115b2o6bo2b2o71b2o5bob2o2b2o93bo7b2o3b2o6b2o5b2o$123bo83b2o64b3o32b
o6bo12b2o5b2o$74bobo63bo6bo127bo$68b2o4b2ob2o2b2o39b2o2b2o11bo7b2o3b2o
120bo$68b2o5bo2bo2b2o39b6o11b2o5bobo3b2o173b3o5b3o$76b3o46bo17bob3o
179bobo5bobo$50bo92b3o173b3o5bo2bo3bo2bo$49bo2bo57b2o207bo8b2o5b2o$46b
2o5bo57bo31b3o120b3o51bo8b2o3b2o$45bo8bo3b2o51bobo29bob3o120bo$45bo8bo
3b2o52b2o25b2o5bobo3b2o113bo$46bob2ob3o85bo7b2o3b2o109b2o$50b2o88bo6bo
114bobo$126b2o136bo63b2o5b2o$50b2o74bobo199b2o5b2o$46bob2ob3o74bo130b
3o$45bo8bo3b2o68b2o131bo$45bo8bo3b2o200bo$46b2o5bo84bo14b2o5b2o94b2o
44bo$49bo2bo55bob2o4b2o20b2o13b2o5b2o93bobo43bo$50bo57b2obo4b2o19bobo
117bo43b3o$116b2o$289bo$117bo2b2o166b3o$118b3o32b3o3b3o126bob2o17b3o$
50bobo66bo33bo7bo87b2o38b3o19bo18bo$50b2o100bo2bo3bo2bo85bobo38b2o19bo
10bo7bobo$51bo99b2ob2o3b2ob2o86bo70b3o6bo$142bo9bobo5bobo161bo16bo$
140b2o11bo7bo83b3o75b2o14b3o$141b2o104bo90bo$153b2o5b2o84bo84b3o4b2o$
153b2o5b2o80b2o56b2obo25bob3o$69bo171bobo56b4o24bo$68b2o173bo55bo3bo
23b2o$68bobo147b2o80b3o13b2o10b2o13b2o$120b2o97bo2b2o14b3o59b3o13b2o
11bo13bo$100bo6bo13b2o96bobo2bo15bo61bo38bobo$99bobo5b3o10bo97b2obobob
ob2o10bo45b2o54b2o$100bo9bo108bo5b2obo56b2o$109bo107bo3b3o$98b5o6bo2bo
103bob3obob4o100b2o$34bo63bo4bo112bo11bo90b2o6bobo$32b2o67bo2bo112b3o
5b3o3b3o65b2o19bo6bo$33b2o22bo43b2obo5b2o107bo5bo7bo65bobo17bo6b2o$57b
3o38bo5bob2o7b2o103b5o7bo68bo17b2o$60bo22b2o2b2o8bobo4bobo7b3o6bobo
102b2o61b3o7b2o37bo$43b2o14b2o11b2o8b3o12bo2bo2b2o2bo5bo9b2o102bobo53b
2o5bo2bo2b2o39b6o$43b2o27b2o15bo8b2o6b2o16bo56bo2bo44bo53b2o4b2ob2o2b
2o39b2o2b2o$80bobo29bo3bobo28b4o34bo31b4o68bobo$11b2o5b2o42b2o17b4obo
2bo22bo3b2o28bo3bo30bo3bo30bo3bo3b3o6b2o95b2o6bo$11b2o5b2o17b2o23b2o
18b3ob3o23b2ob3o32bo31b4o34bo5bo5bobo94bobo6bo2b2o$37b2o22bo2bo38bo2bo
5b3o31bo2bo66bo2bo5bo6bo96bo7bo3b2o$41b2o15bo2bob2o38bo2bo6bobo114b2ob
4o52bobo36b2o8bo$41b2o14bo2bo40b2ob2ob2o5b2o115bobo2bo46b2o4b2ob2o2b2o
40bobo$58bobo42bo2bo117bo5bo52b2o5bo2bo2b2o41bo$11b3o3b3o83bo2bo116b3o
2bo2b3o57b3o$11bo7bo64b2o15b2ob2ob2o114bob2o2bo$10bo2bo3bo2bo15b2o47bo
17bo2bo117b3o$9b2ob2o3b2ob2o14b2o44b3o18bo2bo117b2o$10bobo5bobo9bo51bo
2b3ob2o123b2o105b2o$11bo7bo11b2o23bo3b2o21bo3bobobo121bobo106bo$30b2o
23bobo3bo22b2obo2bo6bo9b2o106bo106bobo15b2o$11b2o5b2o27b2o2bo3b2o3bo
24bobo10bo8bobo164b2o5b2o40b2o15b2o$11b2o5b2o26b2o11bo12b2o11bob2o9bob
o4bobo2bo4b2o93b3o61b2o5b2o4bobo$47b2o6b5obo10bo13bo2bobo6bo6b2obob3o
2bo96bo74b2o65bo$55bo4bobo10b3o11bo2b2o7bobo6bo4bobo95bo76bo63bobo$47b
2o2b2o4bo2bobo12bo8b3o14bo6b5obo92b2o64b3o5b3o69b2o$46bo9b2o3bo22bo14b
obo10bo93bobo64bobo5bobo$49b4o46b2o7b2o3bo15b2o77bo64bo2bo3bo2bo$47bo
2bo57bobo3bo14bo144b2o5b2o23bo$109bo3b2o12bobo22b2o121b2o3b2o23b2o28b
2o$123b2o2b2o15b2o5bob2o2b2o146bobo27bobo$123b2o19b2o5bobo3b2o162b2o
14b2o$151bo168bo2bo2b2o8bo$149bo171b2o2bobo6bobo4b2o$112bo161b2o5b2o
40b2o8b2o6bobo27b2o5b2o$94b2o15b2o36bo124b2o5b2o40bo9b3o7bo27b2o5b2o$
47bobo39b2o2bo2bo14bobo2b2o33bo44b3o121b2obo2bo16b2o$48b2o36bo2bo4bobo
19bobo25b2o5bobo3b2o39bo121bo2bobobo$48bo36bobobo5bo22bo25b2o5bob2o2b
2o38bo124b2ob2o$64bo21bo2bob2o9bo2bo9bob2o33b2o39b2o177bo5bo$65bo23bo
2bo9bo2bo9b2o75bobo106bobo67b2o5b2o$63b3o24bo4bo4b2ob2ob2o39bo46bo107b
2o16b2o2b2o36bo7b2obo3bob2o$48b2o41b5o6bo2bo23b2o17b2o152bo16b3o40bobo
4b2o2bo3bo2b2o$48b6o48bo2bo5b2o16bobo15b2o40b3o134bo35b2o5b2ob2o3b2ob
2o$51bo41bo6b2ob2ob2o2bobo18bo59bo111b2o4b2o6bobo49b2ob2o3b2ob2o$39b2o
bo9bo39bobo7bo2bo4bo20b2o25b2o5b2o23bo112b2o4bobo6b4obo2bo44bo7bo$39bo
b2o50bo8bo2bo3b2o4b2o41b2o5b2o142bo9b3ob3o45b2o5b2o$114bobo8b3o243b2o
5b2o$114bo10bo98bo146b2o5b2o$80b2o5b2o24b2o6b2o2bobo95b3o114b2o$80b2o
5b2o31b3o35b2o5b2o55b2obo114b2o$120b2o2b2o31bo2bo3bo2bo54b3o75b2o32b2o
$80bo7bo31b2o2b3o29bo3bo3bo3bo54b2o75bo33b2o$79bobo5bobo35b2o33b2ob2o
14b2o120bo$78b2ob2o3b2ob2o36bo27bo5bobo5bo8bobo119b2o$79bo2bo3bo2bo66b
o3bo3bo3bo11bo155b2o$42bo6bo30bo7bo71bo3bo164b2o5b2o$36b2o3b2o7bo19bo
9b3o3b3o68bo9bo7b3o151b2o$36b2o3bobo5b2o18bo52bo2b2o30bo2bo3bo2bo9bo
167bo$42b3obo22b3o51b3o3b2o12bo14b2o5b2o9bo167bo$44b3o77bo5b2o9b2o29b
2o170b3o$129bo12b2o27bobo$44b3o20bo12b2o5b2o60b2o22bo152b3o$42b3obo19b
3o11b2o5b2o61bo2b2o171bo$36b2o3bobo5b2o7b2o4b2o3bob2o39bo37bobo2bo171b
o$36b2o3b2o7bo7b2o4bo2b2o2b2o39b3o34b2obobobob2o$42bo6bo14bob2o47bo34b
obobob2obo$114b2o32bo$147bob3obob4o$147bo4b3o4bo$64bob2o80b3ob3ob3o$
58b2o4bo2b2o2b2o77b7o4b3o$51bo6b2o4b2o3bob2o90bo$50b2o14b3o93bo165b3o$
50bobo14bo90b2o164b2o2bo2bo5b2o$124bo2bo29bobo164b2o2b2ob2o4b2o$128bo
30bo170bobo$124bo3bo35b2o$125b4o25b3o6bobo$156bo6bo$119b2o34bo5b2ob4o
162bobo$119b2o41bo4bo156b2o2b2ob2o4b2o$32bobo125bobo2bo158b2o2bo2bo5b
2o$32b2o125bo64bo103b3o$33bo88bo37b2ob2o58b3o$91bo28b3o100bob2o$89b3o
27bo104b3o$88bo19bo10b2o103b2o$88b2o17bobo34b2o$107bobo33bobo35b2o$68b
2o35b3ob2o20bo13bo27b2o5bob2o2b2o$67b2o35bo24b3o41b2o5bobo3b2o$48bo20b
o16bo11bo6b3ob2o17bo51bo$48b3o34b3o10b3o6bobo18b2o48bo$51bo36bo12bo$
34b2o14b2o13b2o17b3ob2o10b2o35b2o39bo$34b2o30b2o15bo3b2o47bobo41bo$65b
2o17bo22bo4bo25bo34b2o5bobo3b2o$2b2o5b2o52b3o18bobo19bo4b3o11b2o46b2o
5bob2o2b2o6b2o5b2o$2b2o5b2o5bo11b2o33bo43bo5b2o11b2o53b2o11b2o5b2o$2b
2o5b2o3b2o12b2o4bo25b4o49b3o10bo2bo64b2o5b2o$2bo7bo4b2o16b3o24b2o51bo
13b3o64bo7bo$2ob2o3b2ob2o19bob3o5b2o16b3o25b2o19b2obo13bo65b2ob2o3b2ob
2o$2ob2o3b2ob2o28bo2b2o15bobo23bo2bo18bo16bobo63b2ob2o3b2ob2o$2o2bo3bo
2b2o27b3o2bo10bo2bo3bo23b3o20bo3bo12bo64b2o2bo3bo2b2o$b2obo3bob2o28bo
4bo11b6o12b2o11b2o24bo40bo37b2obo3bob2o$2b2o5b2o16b2o3b3o5b5o13b2o2b2o
12bo18bo17bo40b3o21bo15b2o5b2o100b3o$3bo5bo17b2o3b5o4b2o30b3o18bo19b3o
36b2obo20bo17bo5bo101b4o$32b2ob2o26bo9bo20b3o19bo36b3o21b3o119b4o3b2o
4b2o$34bo12bo3b2o7b3o91b2o95bo47b3ob2o2b2o3b2o$46bobo3bo7b3o187b3o50b
4o$2b2o5b2o35b2o3bo39b2o36bo64b2o5b2o39b2o4b2o3bob2o$2b2o5b2o39bo12b2o
27bo37b2o62b2o5b2o39b2o4bo2b2o2b2o$33b2o11b5obo10bo25b3o27b3o7b2o117bo
b2o$33b2o11bo4bobo10b3o22bo31bo17b2o5b2o35b2o118b4o$48bo2bobo12bo53bo
18b2o5b2o34bobo114b3ob2o2b2o3b2o$47b2o3bo131bo114b4o3b2o4b2o$30bo217bo
b2o51b4o$31b2o105b3o5b3o75bo17b2o4bo2b2o2b2o46b3o$30b2o106bobo5bobo74b
3o16b2o4b2o3bob2o6b2o5b2o$91b2o3b2o40bo2bo3bo2bo73b2obo24b3o9bobo5bobo
$47bo43b2o3b2o41b2o5b2o74b3o26bo$45bobo92b2o3b2o76b2o$40b3o3b2o148bo
68b2ob2o$39bo2bo44b2o2b3ob3o2b2o58bo26bo7bobo68bobo$39bo4bo42bo2bo7bo
2bo58bobo24b3o6bo68b2ob2o38bo$88bobo7bobo59b2o28bo16bo56b2o3b2o38b2o$
39bo5bo43bo4bo4bo39b2o5b2o41b2o14b3o54b2obo3bob2o35b2o$90b3o3b3o40b2o
5b2o56bo58b2o5b2o$38bo4b2o47bobobo26bo80b2o$37bo3b2o50b3o6b2o17b2o$37b
o3bo59bobo18b2o60b2o57bo12b2o32b2o$38bo64bo61b3o16b3o55bo12bobo5b2o5b
2o19b2o$38b2o3b2o122bo15bo2bo22b2o31b3o12bo5b2o5b2o18bo$42b3o114b4o3bo
17b2o16bo6bo$30b2obo9bo50bo63b2o41b2o3b2obo$30bob2o59bobo8bo46b2o4b2ob
o2bo36b4o4bo$92bo2bo8b3o44b2o5bobob2o35b2o3bo$64bo28b2o12bo51b2obo37bo
$65bo5b2o5b2o26b2o52b2o32b2o8bobo$63b3o5b2o5b2o105b2o6bobo8b2o$51b2o
36b2o20bo53b2o19bo6bo$51bobo34bobo21bo52bobo17bo6b2o5bobo$51bo36bo16b
2o2bo2b2o43b3o7bo17b2o13bo57bo42bo23bobo$72bo5bo8b2o15b3obobob3o41b4o
7b2o89b3o38b3o24b2o$71b2o5b2o25b2o2bo2b2o35b2o4b2o3b4o97bo36bo27bo$70b
2obo3bob2o25bo5bo3b2o31b2o3b2o2b2ob3o96b2o23b2o11b2o14b2o$69b2o2bo3bo
2b2o25b5o4bobo37b4o125b2o27b2o$69b2ob2o3b2ob2o26b3o7bo77b2o76b2o18b2o$
69b2ob2o3b2ob2o27bo8b2o75bobo27bo12b3o9bo22b3o17b2obo42b2o5b2o$71bo7bo
115bo29bobo12bo7bo3bo16b2o4bo16bobob2o22b2o17b2o5b2o$71b2o5b2o25bo50b
4o34b2o29b2o12bo13bo15bo2b2o17b2obo2bo22b2o$53b3o15b2o5b2o24bobob2o39b
2o3b2o2b2ob3o82b2o5b2o15b2o20b2o22b2o$53b4o14b2o5b2o24bobobobo38b2o4b
2o3b4o46bo35bo8bo15bo21b4o3bo15b2o20b3o5b3o$49b4o3b2o4b2o37b2obobobobo
2bo42b4o48bobo13bo21bo4bobo47bo36bobo5bobo$49b3ob2o2b2o3b2o37bo2bo2b2o
b4o43b3o49b2o13b2o21b3o3bo2bo42b3o36bo2bo3bo2bo$53b4o46b2o4bo111bo4bo
25bo2b2o17b2o63b2o5b2o$109bobo108bo5bo25b3o19bobo44b2o17b2o3b2o$110b2o
75b2o31bo7bo24bo22bo44b2o$188bo16bo15bo6bo35b2o10b2o$53b4o131bobo6bo6b
ob2o18b2o36bo32b2o3bo$49b3ob2o2b2o3b2o76b2o5b2o15b2o23b2o5b3o5bob2o15b
2o29b2o9b3o29bo3bobo7b2o12bobo$49b4o3b2o4b2o76b2o5b2o14b2o30bo2bo6b2o
27b2o19bo11bo30bo3b2o7bob2o10b2o12b2o5b2o$53b4o83b2o5b2o16bo28b2obo2bo
33bobo17bo30b2o12bo13b2o11bo12b2o5b2o$53b3o84bo7bo46bobo38bo17b2o30bo
10bob5o7b2o$138b2ob2o3b2ob2o46bob2o35b2o45b3o10bobo4bo5b2o$138b2ob2o3b
2ob2o47bo84bo12bobo2bo$138b2o2bo3bo2b2o146bo3b2o6bobo$139b2obo3bob2o
160bo$140b2o5b2o$141bo5bo9bobo67bo$158b2o27b2o39bo$158bo27bo2bo2b2o32b
3o$187b2o2bobo13b2o$140b2o5b2o40b2o16bobo27b2o5b2o$140b2o5b2o40bo19bo
27b2o5b2o$186b2obo2bo16b2o$186bo2bobobo$182bo5b2ob2o116bo$181b2o54b2o
5b2o61b2o$181bobo52b2obo3bob2o61b2o$167b3o4bo63b2o3b2o$167b2o5b2o22bo
40b2ob2o48bo$168b2o5b2o20b3o40bobo49bobo$167bobo3bobo21bob2o38b2ob2o
48b2o11bob4o$165b4o4b2o24b2o104bo3b2o$165b2o2bo3bo25b2o105bobo7bob2o$
166b2obo24bo4b2o35bobo5bobo60bo8b2obo$167b3o23bo3b2obobo18bo15b2o5b2o$
193bo2b3ob2o4b2o12bo$188b2o3bo2bo2b2o5b2o12b3o47b2o5b2o$166b2o20b2o80b
2o5b2o$166bo$167bo$166b2o17b2o$185bobo14b2o$185bo9b2o5b2o67b2o3b2o$
195b2o73b2o5b2o$269bo2bo3bo2bo$269bobo5bobo$269b3o5b3o9b3o$291bo$290bo
$270b2o5b2o$270b2o5b2o15b3o$286b2o5bo2bo2b2o$203bo82b2o4b2ob2o2b2o$
203bobo86bobo$203b2o3$292bobo$194b3o89b2o4b2ob2o2b2o$194b4o88b2o5bo2bo
2b2o$190b4o3b2o4b2o89b3o$190b3ob2o2b2o3b2o$194b4o4$194b4o$190b3ob2o2b
2o3b2o$190b4o3b2o4b2o$194b4o$194b3o!

Code: Select all

x = 380, y = 733, rule = B3/S23
190bo6bo$189bo7b2o3b2o$189b2o5bobo3b2o$193bob3o$193b3o2$193b3o$193bob
3o$189b2o5bobo3b2o89b3o$189bo7b2o3b2o88b4o$190bo6bo87b2o4b2o3b4o$285b
2o3b2o2b2ob3o$292b4o4$292b4o$194bo90b2o3b2o2b2ob3o$194bobo88b2o4b2o3b
4o$194b2o73b2o5b2o14b4o$269b2o5b2o15b3o$269b2o5b2o$269bo7bo$267b2ob2o
3b2ob2o$267b2ob2o3b2ob2o$212b2o53b2o2bo3bo2b2o$194b2o16bobo53b2obo3bob
2o$194b2o5b2o9bo56b2o5b2o$201b2o67bo5bo$165b2o130bo$166bo128bobo$165bo
33b2o95b2o$165b2o32b2o68b2o5b2o5b3o$205b2o62b2o5b2o5bo$177bo27b2o77bo$
176bo59b2o5b2o$176b3o57b2o5b2o70b2obo$305bo9bob2o$168b2o15b2o117b3o$
168b2o14b2ob2o115b2o3b2o$184b2ob2o50bobo68bo$186b3o118bo3bo$236b3o3b3o
61b2o3bo$229b3o3bo9bo58b2o4bo$164b2o63bo5b3o5b3o$165b2o20b2ob2o38bo5bo
7bo58bo5bo$164bo20bo2bobobo$185b2obo2bo5b3o8b2o94bo4bo$139b2o5b2o40bo
7bobo9bo27b2o5b2o61bo2bo$139b2o5b2o40b2o6bo2bo6bobo27b2o5b2o56b2o3b3o$
174bo11b2o2bobo3bo2bo6b2o93bobo$172b2o11bo2bo2b2o4bobo101bo$173b2o11b
2o8bo2bo$139b2o5b2o49b2o118b2o$138b2obo3bob2o48bo118b2o$140b2o3b2o171b
o$141b2ob2o150bo3b2o$142bobo137bo12bobo2bo$141b2ob2o89b2o45b3o10bobo4b
o11b2o$235bo17b2o30bo10bob5o11b2o$49bo6bo176bobo17bo30b2o12bo39b2o5b2o
$48bo7b2o3b2o75bobo5bobo66b3o15b2o19bo11bo30bo3b2o35b2o5b2o$48b2o5bobo
3b2o76b2o5b2o7b2o31b2o15b2o10bo35b2o9b3o19b3o7bo3bobo$52bob3o97b2o31bo
bo15b2o9bo46bo22b3o7b2o3bo12bo$52b3o101bo30bo75b2o10b2o8bo26b2ob2o$
109b2o75b2o31b2o54bo30b2o4b5o3b2o17bo5bo$52b3o53bobo108b2o39b3o10bobo
9b2o2b2o13b5o5b3o3b2o16b2o5b2o$52bob3o45b2o4bo150bo2bo10b2o11b6o11bo4b
o28b2obo3bob2o$48b2o5bobo3b2o37bo2bo2b2ob4o120bo16b2o7b2o2bo21bo3bo2bo
10bo2b3o27b2o2bo3bo2b2o$48bo7b2o3b2o37b2obobobobo2bo41bo6bo70bob2o14b
2o5b2o3b2o21bobo15b2o2bo28b2ob2o3b2ob2o$49bo6bo13b2o5b2o24bobobobo38b
2o3b2o7bo68b2obo21bo2bo26b3o16b2o5b3obo19b2ob2o3b2ob2o$69bobo5bobo23bo
bob2o39b2o3bobo5b2o69bo23bobo28b2o24b3o16b2o4bo7bo$104bo49b3obo34b2o9b
o52bo27b4o25bo4b2o12b2o3b2o5b2o$156b3o35bo9b2o79bo33b2o11bo5b2o5b2o$
72b2ob2o40b2o75bobo6bo79b3o52b2o5b2o$60b3o10bobo32b2o7bo38b3o36b2o7b3o
75b2o$60bo11b2ob2o31b2o5bobo36b3obo46bo75b2o30b2o$61bo9b2o3b2o37b2o31b
2o3bobo5b2o96b2o21b2o13b2o14b2o$69b2obo3bob2o68b2o3b2o7bo97bo36bo$70b
2o5b2o7b2o66bo6bo4b2o89b3o38b3o$87bo78bo17b2o60bo10bo21bo20bo$87bobo
74bobo17bo6b2o29b2o20bobo33b2o$88b2o74b2o19bo6bo28b3o10b2o9b2o32b2o$
70b2o5b2o19bo85b2o6bobo26b2obo9bobo$70b2o5b2o17b2o7b2o7bo78b2o27b3o9bo
$92b2o3b2o7bo6b2o108bo$91bo2bo8b3o7bobo34b2o$29bob2o10bo48bobo8bo46b2o
54b2o$29b2obo9bo50bo84b2ob2o15b2o6bobo106bo$42b3o126b2o5b2ob2o25bo106b
2o$38b2o129b2o2bo7b2o12bobo10b2o52b2o5b2o43bobo$38b2o129bo2b3o3b3o16bo
64b2o5b2o$169bo4bo5bo3bo10b3o$52b3o37b3o75b5o3b3o3bo$54bo36bobobo57b2o
17b2o10bo18b2o57bo7bo$53bo35b3o3b3o40b2o5b2o5b3o48bo57b3o5b3o$37bo50bo
4bo4bo39b2o5b2o5b2obo32b2o14b3o54bo9bo$37b2o48bobo7bobo53b3o17bo15bo
16bo55b3o3b3o$36bobo47bo2bo7bo2bo8bo44bo16bobo12b3o6bo56bo43bobo$86b2o
2b3ob3o2b2o9bo61b2o12bo7bobo55bobo10bobo29b2o$108b3o28bo5bo49bo56b2o
43bo$138b2o5b2o103bo$90b2o3b2o34b2o4b2obo3bob2o100bo2bo$90b2o3b2o33b2o
4b2o2bo3bo2b2o98bo5b2o7b2o5b2o$132bo3b2ob2o3b2ob2o92b2o3bo8bo6b2o5b2o$
39bo96b2ob2o3b2ob2o92b2o3bo8bo$38b3o97bo7bo100b3ob2obo44bo6bo$41bo4b2o
3bo86b2o5b2o22b2o78b2o47bo7b2o3b2o$38b2ob2o4bo2bobo12bo72b2o5b2o22bobo
126b2o5bobo3b2o$37b2ob2o3bo4bobo10b3o22bo49b2o5b2o22bo79b2o51bob3o$37b
2ob2o3b5obo10bo25b3o156b3ob2obo47b3o$b2o5b2o28bo2bo7bo12b2o27bo101b2o
5b2o39b2o3bo8bo$b2o5b2o29b3o3b2o3bo39b2o101b2o5b2o39b2o3bo8bo46b3o$39b
2o4bobo3bo195bo5b2o47bob3o$19b2o25bo3b2o196bo2bo46b2o5bobo3b2o$20b2o
50bo42bo71bo62bo47bo7b2o3b2o$b2o5b2o9bo6b2o44b3o38b3o11bo59bobo3b2o5b
2o21b2o74bo6bo$2obo3bob2o15b2o47bo36bo12bobo59b2o3b2obo3bob2o20b3o$2b
2o3b2o37b2o26b2o11b2o11bo11b2o12b2o66b2o3b2o21bob2o$3b2ob2o79b2o9bob2o
93b2ob2o22b3o$4bobo39bobo48b2obo17b2o76bobo24bo$3b2ob2o23b2o17bo48bo
19b2o74b2ob2o$31b2o15b2obob2o63bo$27b2o21b2obo80bo46bo$obo5bobo16b2o
23bo79bobo45b3o9bobo5bobo$b2o5b2o62bob4o35bo10b2o7b2o37b2o4b2o3bob2o6b
2o5b2o$72b2o4bo34bo9bo2bo45b2o4bo2b2o2b2o$33b2o27b2o8bo3bob2o35b3o6b2o
52bob2o$33b2o14b2o11b2o9b3obo21b2o16bo$50bo49bo14bobo36b2o$47b3o47b3o
6bob2o17b2o25b3o$47bo49bo6b3ob2o17bo25bob2o21bob2o$24b2o77bo24b3o22b3o
16b2o4bo2b2o2b2o$23b2o79b3ob2o20bo13bo9bo17b2o4b2o3bob2o$25bo80bobo36b
o34b3o$87b2o17bobo34b3o35bo$87bo19bo10b2o$88b3o27bo$90bo28b3o$59bobo
59bo37b2ob2o163b3o$59b2o90bo6bo168b4o$60bo91bo6bobo2bo158b4o3b2o4b2o$
118b2o30b3o8bo4bo156b3ob2o2b2o3b2o$118b2o40b2ob4o160b4o$138bo2bo20bo$
142bo19bobo$138bo3bo20b2o$139b4o184b4o$66bo256b3ob2o2b2o3b2o$42bo21bo
2bo255b4o3b2o4b2o$41b2o20bo5b2o256b4o$41bobo13b2o3bo8bo50bobo37bo59b2o
103b3o$57b2o3bo8bo49bo2bo24b7o4bobo58b3o$63b3ob2obo49b2o3bo21b3ob3ob3o
3b2o58b2obo$65b2o58bo8bo11bo4b3o4bo6bo56b3o$133b2o11bob3obob4o8bo56bo
112b2o$65b2o46b2o5b3o2bo7bobo11bo16b3o169bobo$40b2o21b3ob2obo43bo9b2o
23bobobob2obo177bo$35b2o2b2obo5b2o7b2o3bo8bo39b3o7b3o24b2obobobob2o10b
o$35b2o3bobo5b2o7b2o3bo8bo39bo9b3o25bobo2bo12bobo$42bo20bo5b2o8b2o5b2o
61bo2b2o14b2o$44bo19bo2bo11b2o5b2o60b2o$66bo$44bo$42bo114b2o5b2o$35b2o
3bobo5b2o29b2o5b2o70bo5bo$35b2o2b2obo5b2o28bo2bo3bo2bo239b2o$40b2o35bo
3bo3bo3bo228bo9b2o5b2o$61bo19b2ob2o73b2ob2o15bo138bobo14b2o$60bo15bo5b
obo5bo89bo118b2o17b2o$60b3o14bo3bo3bo3bo45bobo20bobobobo13b3o119bo$81b
o3bo50b2o19bo7bo133bo$78bo9bo47bo14b2o3bo2bo3bo2bo16bo115b2o20b2o$78bo
2bo3bo2bo32b2o27b2o4b3o5b3o14bobo137b2o3bo2bo2b2o5b2o12b3o$70b2o7b2o5b
2o24b2o7b2o29bo29b2o142bo2b3ob2o4b2o12bo$69bobo41bo72bo113b3o23bo3b2ob
obo18bo15b2o5b2o$45bobo23bo41bobo71bo111b2obo24bo4b2o35bobo5bobo$38bob
2o2bo47bo8bo2bo3b2o4b2o6b3o32b2o5b2o19b3o110b2o2bo3bo25b2o$38b2obo2bo
6bo39bobo7bo2bo4bo12bo2bo4b2o25b2o5b2o132b4o4b2o24b2o$43bo8bo39bo6b2ob
2ob2o2bobo8bo4bo4bo169bobo3bobo21bob2o38b2ob2o$44b6obo49bo2bo5b2o16bob
o170b2o5b2o20b3o40bobo$45bo44b5o6bo2bo14bo8b2o170b2o5b2o22bo40b2ob2o$
89bo4bo4b2ob2ob2o12bo180b3o4bo63b2o3b2o$47bo40bob2o9bo2bo18bo28bo161bo
bo52b2obo3bob2o$46b3o36bo2bob2o9bo2bo15b2obobobo23b3o160b2o54b2o5b2o$
46bo3b2o32bobobo5bo31b2o15b2o4b2o3bob2o157bo5b2ob2o$48bo2bo33bo2bo4bob
o47b2o4bo2b2o2b2o39bo25b2o94bo2bobobo$48b3o37b2o2bo2bo7bo45bob2o42bobo
25b3o93b2obo2bo16b2o$93b2o8b2o91b2o24bob2o47b2o5b2o40bo19bo27b2o5b2o$
102bob2o94bo21b3o48b2o5b2o40b2o16bobo27b2o5b2o$102bobo96bo21bo96b2o2bo
bo13b2o$96b2o4b2o45bob2o46b3o89bo27bo2bo2b2o32b3o$52b3o41b2o24b2o19b2o
4bo2b2o2b2o133b2o27b2o39bo$54bo67b2o2b2o15b2o4b2o3bob2o46bo69bo5bo9bob
o67bo$53bo54bo3b2o12bobo22b3o48bobo68b2o5b2o$37bo69bobo3bo14bo23bo50b
2o67b2obo3bob2o$37b2o68b2o3bo15b2o141b2o2bo3bo2b2o$36bobo16b2o3bo22bo
27bo159b2ob2o3b2ob2o47bo$56bo2bobo12bo8b3o21b5obo157b2ob2o3b2ob2o46bob
2o$41b2o11bo4bobo10b3o11bo2b2o16bo4bobo158bo7bo46bobo$41b2o11b5obo10bo
13bo2bobo13b2obob3o2bo158b2o5b2o16bo28b2obo2bo$10b2o5b2o39bo12b2o11bob
2o16bobo2bo4b2o157b2o5b2o14b2o30bo2bo6b2o$9bo2bo3bo2bo34b2o3bo24bobo
19bobo164b2o5b2o15b2o23b2o5b3o5bob2o$9bo9bo23bo10bobo3bo22b2obo2bo16b
2o106bo106bobo6bo6bob2o$12bo3bo26b2o10bo3b2o21bo3bobobo124bo105bo16bo$
8bo3bo3bo3bo22b2o23b3o10bo2b3ob2o123b3o104b2o$7bo5bobo5bo13b2o31b3o10b
3o18bo2bo$12b2ob2o18b2o5b3o22bo3b2o11bo17bo2bo112bo$8bo3bo3bo3bo27b3o
16b3o2bo10b2o15b2ob2ob2o108bobo9bo61b3o49b2o$9bo2bo3bo2bo22bo3bo3bo15b
o2b4o29bo2bo111b2o8bo2b3o56b4o48bobo$10b2o5b2o23bo7bo15b3obo23b3o5bo2b
o115bo7bo52b2o4b2o3b4o46bo$42bo6bo18bo20b2o3bo2bo2b2ob2ob2o5b2o107bo7b
obo2bo46b2o3b2o2b2ob3o$42bo3b2o50bo3bo2bo7b2o105b3o6b2ob4o53b4o34b2o$
25bo10b2o57bo2bo3bo2bo19bo2bo66bo2bo32bo96bo$10b2o5b2o5b2o10b2o58bo32b
o31b4o34bo31bobo94bobo$10b2o5b2o5bobo44b2o19b2o31bo3bo30bo3bo30bo3bo
32b2o95b2o$70bo2bo18bo33b4o34bo31b4o89b4o$42b2o26bo2bo31b2o53bo2bo64bo
53b2o3b2o2b2ob3o$42b2o14b2o10bobo24b3o2b2o2bo122bo52b2o4b2o3b4o$59bo
37b2o4bobo121b3o59b4o7b2o$56b3o18bobo17bo5bob2o112b5o66b3o7bo17b2o13bo
$56bo20b2o21b2obo114bo5bo7bo65bobo17bo6b2o5bobo$78bo21bo2bo112b3o5b3o
3bobo65b2o19bo6bo$97bo4bo112bo11bo3b2o85b2o6bobo8b2o$97b5o113bob3obob
4o8bo57b2o32b2o8bobo$108b2o8bo97bo3b3o13bo55b2obo37bo$99bo9bo7bobo98bo
5b2obo6b3o47b2o5bobob2o35b2o3bo$98bobo5b3o7b2ob2o12bo83b2obobobob2o56b
2o4b2obo2bo36b4o4bo$99bo6bo9bo2bo12b2o84bobo2bo15bo51b2o41b2o3b2obo$
115bo3bo12bobo83bo2b2o14bobo52b4o3bo17b2o16bo6bo$119bo97b2o19b2o60bo
15bo2bo22b2o$42b2o254b3o16b3o$41b2o274b2o$43bo108b2o5b2o$151bo2bo3bo2b
o175b2o$126bobo22bo9bo84bo90bo$127b2o25bo3bo85bobo75b2o14b3o$61bo65bo
22bo3bo3bo3bo82b2o46b2o28bo16bo$59b2o88bo5bobo5bo85bo43bobo24b3o6bo$
60b2o92b2ob2o91bo42bo26bo7bobo$150bo3bo3bo3bo85b3o78bo$151bo2bo3bo2bo$
117bo34b2o5b2o92bo$116b2o133bobo$252b2o$107b2obo34bo110bo$107bob2o34b
2o5b2o5b2o96bo$52b2o90bobo5b2o5b2o94b3o59bo$44bo6bobo3b2o256bobo$44b2o
4bo2bo3b2o68b2o187b2o$48bo3bo67bo6bo$48bobo68b2o3b2obo199b2o5b2o$118b
4o4bo136bo63b2o5b2o$48bobo66b2o3bo23b2o116bo$48bo3bo65bo19b2o5bob2o2b
2o109b3o22b2o$44b2o4bo2bo3b2o52b2o11bo13b2o5bobo3b2o133b3o21b3o$44bo6b
obo3b2o51bobo5bo4bo21bo121bo18b2obo20bo17bo5bo$52b2o56bo6b2o2bo21bo
121bobo19b3o21bo15b2o5b2o$109b2o6b2obo145b2o20bo37b2obo3bob2o$75b3o40b
2o23bo126bo54b2o2bo3bo2b2o$74b4o67bo125bo53b2ob2o3b2ob2o$67b2o4b2o3b4o
56b2o5bobo3b2o116b3o53b2ob2o3b2ob2o$67b2o3b2o2b2ob3o56b2o5bob2o2b2o
174bo7bo$74b4o68b2o59bo66bo52b2o5b2o$206b3o63bobo39b2o11b2o5b2o$114b2o
82b2o4b2o3bob2o60b2o31b2o5bob2o2b2o6b2o5b2o$115bo82b2o4bo2b2o2b2o93b2o
5bobo3b2o$74b4o34b3o89bob2o105bo$67b2o3b2o2b2ob3o30bo198bo$67b2o4b2o3b
4o46bo$74b4o48bobo152bo29bo$75b3o49b2o75bob2o71bobo31bo$198b2o4bo2b2o
2b2o67b2o24b2o5bobo3b2o$198b2o4b2o3bob2o71bo11bo9b2o5bob2o2b2o$105b2o
99b3o11b2o5b2o56bo7b4o17b2o$106bo16bo83bo12b2o5b2o54b3o8bo2bo$106bobo
6bo6bob2o110b2o57bobo2bo$58b2o5b2o15b2o23b2o5b3o5bob2o110b2o50bo5b2ob
4o$58b2o5b2o14b2o30bo2bo6b2o161bobo7bo$58b2o5b2o16bo28b2obo2bo145b4o
19b2o7bobo$58bo7bo46bobo104b3o3b3o34bo3bo23bo5b2o$56b2ob2o3b2ob2o46bob
2o101bo7bo38bo24bo$56b2ob2o3b2ob2o47bo85bo16bo2bo3bo2bo33bo2bo23b3o$
56b2o2bo3bo2b2o133bobo13b2ob2o3b2ob2o5b3o$57b2obo3bob2o134b2o15bobo5bo
bo5bo2bo46b3o7bo$58b2o5b2o153bo7bo6bo3bo8b2o34b5o4bobo$59bo5bo9bobo67b
o88bo2b3o7b2o34bob3obo4b2o$76b2o27b2o39bo73b2o5b2o6b4o10bo31b3o5b3o6bo
$76bo27bo2bo2b2o32b3o73b2o5b2o51bo3bo3bo3bo6bo$105b2o2bobo13b2o83b3o
67bob3obob4o5b3o$58b2o5b2o40b2o16bobo27b2o5b2o23b2o23bo18b2o6bobo39bo
3b3o$58b2o5b2o40bo19bo27b2o5b2o15bob2o4bo2bo20bo20bo7b2o41bobobob2obo
9bo$104b2obo2bo16b2o50b2obo3bo4bo37b3o8bo41b2o2bo2bob2o7bobo$104bo2bob
obo73b2ob2ob2o36bo53bobo2bo12b2o3b2o$100bo5b2ob2o75b2o5bo89bo2b2o16bo
2bo$99b2o54b2o5b2o25bo92b2o11b2o7b3o$99bobo52b2obo3bob2o29bo101bo$85b
3o4bo63b2o3b2o25bo107bobo5b3o$85b2o5b2o22bo40b2ob2o26bo4bo81b2o5b2o13b
2o5bo2bo$86b2o5b2o20b3o40bobo27bo2bo84bo5bo17b3o3b2o$85bobo3bobo21bob
2o38b2ob2o27b3o108bobo$83b4o4b2o24b2o181bo2bo$83b2o2bo3bo25b2o147bo10b
2ob2o19b2o$84b2obo24bo4b2o35bobo5bobo100b2o28b2o9b2o$85b3o23bo3b2obobo
18bo15b2o5b2o101bobo8bobobobo12bo2bo5bo2bo$111bo2b3ob2o4b2o12bo136bo7b
o12b3o5b3o$106b2o3bo2bo2b2o5b2o12b3o52b2o79bo2bo3bo2bo$84b2o20b2o84bob
o62bo16b3o5b3o11b3o5b3o$84bo109bo45bo17b2o35bo2bo5bo2bo$85bo153bobo15b
2o36b2o9b2o$84b2o17b2o72b2o51b2obo5bob2o58b2o$103bobo14b2o56b2o16b2o3b
o28bob2o6bo34b2o5b2o16bo2bo$103bo9b2o5b2o55bo19bo2bobo12bo32b2o25b2o5b
2o16bobo$113b2o67b2o11bo4bobo10b3o32bo46b2o3b3o3b2o$182b2o11b5obo10bo
33bobo46bo2bo5bo2bo$151b2o5b2o39bo12b2o32b2o48b3o5b3o$151b2o5b2o35b2o
3bo$195bobo3bo29bo38bo25b3o5b3o$151bo7bo24b2o10bo3b2o29b3o35b3o23bo2bo
5bo2bo$150bobo5bobo22b2obo35bo11bo26b2o4b2o3bob2o19b2o3b3o3b2o$149b2ob
2o3b2ob2o14b2o5b2o2bo21b3o10b3o8b2o14bo11b2o4bo2b2o2b2o24bobo$150bo2bo
3bo2bo15b2o6bo4bo19bo2bo12bo22bobo16bob2o29bo2bo$121bo29bo7bo30bo17b2o
2bo11b2o23bo51b2o$121bobo27b3o3b3o24b2o4bo17bo2b2o15bo66b2o9b2o$121b2o
60bo2bob3o17b3o20bo63bo2bo5bo2bo$184b2obo21b2o20b3ob3o29bob2o25b3o5b3o
$184bo42bo3b5o2bo22b2o4bo2b2o2b2o$177b2o6b2o41bo4b2o4bo21b2o4b2o3bob2o
20b3o5b3o$112b3o36b2o5b2o6b2o9b2o57bobo30b3o23bo2bo5bo2bo$112b4o35b2o
5b2o5b2o45b2o19b2obo7b2o24bo24b2o9b2o$108b4o3b2o4b2o44bo43bo2bo19b3o7b
obo54b2o$108b3ob2o2b2o3b2o60b2o27b2o21b3o8bo53bo2bo$112b4o67b2o14b2o
11bo24b2o7b2o52bobo$200bo19bo16bo57b2o3b3o3b2o$197b3o18b2o18b3o54bo2bo
5bo2bo$197bo21b2o19bo55b3o5b3o$112b4o$108b3ob2o2b2o3b2o173b3o5b3o$108b
4o3b2o4b2o172bo2bo5bo2bo$112b4o179b2o3b3o3b2o$112b3o185bobo$300bo2bo$
301b2o$295b2o9b2o$295bo2bo5bo2bo$184bo111b3o5b3o$183b2o$183bobo110b3o
5b3o$295bo2bo5bo2bo$295b2o9b2o$301b2o$201bobo96bo2bo$201b2o97bobo$202b
o92b2o3b3o3b2o$295bo2bo5bo2bo$296b3o5b3o2$296b3o5b3o$295bo2bo5bo2bo$
190bo104b2o3b3o3b2o$189bo2bo107bobo$186b2o5bo106bo2bo$185bo8bo3b2o101b
2o$185bo8bo3b2o95b2o9b2o$186bob2ob3o101bo2bo5bo2bo$190b2o104b3o5b3o2$
190b2o104b3o5b3o$186bob2ob3o101bo2bo5bo2bo$185bo8bo3b2o95b2o9b2o$185bo
8bo3b2o101b2o$186b2o5bo106bo2bo$189bo2bo107bobo$190bo104b2o3b3o3b2o$
295bo2bo5bo2bo$296b3o5b3o2$296b3o5b3o$295bo2bo5bo2bo$202bo92b2o3b3o3b
2o$201b2o97bobo$201bobo96bo2bo$301b2o$295b2o9b2o$295bo2bo5bo2bo$183bob
o110b3o5b3o$183b2o$184bo111b3o5b3o$295bo2bo5bo2bo$295b2o9b2o$301b2o$
300bo2bo$112b3o185bobo$112b4o179b2o3b3o3b2o$108b4o3b2o4b2o172bo2bo5bo
2bo$108b3ob2o2b2o3b2o173b3o5b3o$112b4o$197bo21b2o19bo55b3o5b3o$197b3o
18b2o18b3o54bo2bo5bo2bo$200bo19bo16bo57b2o3b3o3b2o$112b4o67b2o14b2o11b
o24b2o7b2o52bobo$108b3ob2o2b2o3b2o60b2o27b2o21b3o8bo53bo2bo$108b4o3b2o
4b2o44bo43bo2bo19b3o7bobo54b2o$112b4o35b2o5b2o5b2o45b2o19b2obo7b2o24bo
24b2o9b2o$112b3o36b2o5b2o6b2o9b2o57bobo30b3o23bo2bo5bo2bo$177b2o6b2o
41bo4b2o4bo21b2o4b2o3bob2o20b3o5b3o$184bo42bo3b5o2bo22b2o4bo2b2o2b2o$
184b2obo21b2o20b3ob3o29bob2o25b3o5b3o$121b2o60bo2bob3o17b3o20bo63bo2bo
5bo2bo$121bobo27b3o3b3o24b2o4bo17bo2b2o15bo66b2o9b2o$121bo29bo7bo30bo
17b2o2bo11b2o23bo51b2o$150bo2bo3bo2bo15b2o6bo4bo19bo2bo12bo22bobo16bob
2o29bo2bo$149b2ob2o3b2ob2o14b2o5b2o2bo21b3o10b3o8b2o14bo11b2o4bo2b2o2b
2o24bobo$150bobo5bobo22b2obo35bo11bo26b2o4b2o3bob2o19b2o3b3o3b2o$151bo
7bo24b2o10bo3b2o29b3o35b3o23bo2bo5bo2bo$195bobo3bo29bo38bo25b3o5b3o$
151b2o5b2o35b2o3bo$151b2o5b2o39bo12b2o32b2o48b3o5b3o$182b2o11b5obo10bo
33bobo46bo2bo5bo2bo$113b2o67b2o11bo4bobo10b3o32bo46b2o3b3o3b2o$103bo9b
2o5b2o55bo19bo2bobo12bo32b2o25b2o5b2o16bobo$103bobo14b2o56b2o16b2o3bo
28bob2o6bo34b2o5b2o16bo2bo$84b2o17b2o72b2o51b2obo5bob2o58b2o$85bo153bo
bo15b2o36b2o9b2o$84bo109bo45bo17b2o35bo2bo5bo2bo$84b2o20b2o84bobo62bo
16b3o5b3o11b3o5b3o$106b2o3bo2bo2b2o5b2o12b3o52b2o79bo2bo3bo2bo$111bo2b
3ob2o4b2o12bo136bo7bo12b3o5b3o$85b3o23bo3b2obobo18bo15b2o5b2o101bobo8b
obobobo12bo2bo5bo2bo$84b2obo24bo4b2o35bobo5bobo100b2o28b2o9b2o$83b2o2b
o3bo25b2o147bo10b2ob2o19b2o$83b4o4b2o24b2o181bo2bo$85bobo3bobo21bob2o
38b2ob2o27b3o108bobo$86b2o5b2o20b3o40bobo27bo2bo84bo5bo17b3o3b2o$85b2o
5b2o22bo40b2ob2o26bo4bo81b2o5b2o13b2o5bo2bo$85b3o4bo63b2o3b2o25bo107bo
bo5b3o$99bobo52b2obo3bob2o29bo101bo$99b2o54b2o5b2o25bo92b2o11b2o7b3o$
100bo5b2ob2o75b2o5bo89bo2b2o16bo2bo$104bo2bobobo73b2ob2ob2o36bo53bobo
2bo12b2o3b2o$104b2obo2bo16b2o50b2obo3bo4bo37b3o8bo41b2o2bo2bob2o7bobo$
58b2o5b2o40bo19bo27b2o5b2o15bob2o4bo2bo20bo20bo7b2o41bobobob2obo9bo$
58b2o5b2o40b2o16bobo27b2o5b2o23b2o23bo18b2o6bobo39bo3b3o$105b2o2bobo
13b2o83b3o67bob3obob4o5b3o$76bo27bo2bo2b2o32b3o73b2o5b2o51bo3bo3bo3bo
6bo$76b2o27b2o39bo73b2o5b2o6b4o10bo31b3o5b3o6bo$59bo5bo9bobo67bo88bo2b
3o7b2o34bob3obo4b2o$58b2o5b2o153bo7bo6bo3bo8b2o34b5o4bobo$57b2obo3bob
2o134b2o15bobo5bobo5bo2bo46b3o7bo$56b2o2bo3bo2b2o133bobo13b2ob2o3b2ob
2o5b3o$56b2ob2o3b2ob2o47bo85bo16bo2bo3bo2bo33bo2bo23b3o$56b2ob2o3b2ob
2o46bob2o101bo7bo38bo24bo$58bo7bo46bobo104b3o3b3o34bo3bo23bo5b2o$58b2o
5b2o16bo28b2obo2bo145b4o19b2o7bobo$58b2o5b2o14b2o30bo2bo6b2o161bobo7bo
$58b2o5b2o15b2o23b2o5b3o5bob2o110b2o50bo5b2ob4o$106bobo6bo6bob2o110b2o
57bobo2bo$106bo16bo83bo12b2o5b2o54b3o8bo2bo$105b2o99b3o11b2o5b2o56bo7b
4o17b2o$198b2o4b2o3bob2o71bo11bo9b2o5bob2o2b2o$198b2o4bo2b2o2b2o67b2o
24b2o5bobo3b2o$75b3o49b2o75bob2o71bobo31bo$74b4o48bobo152bo29bo$67b2o
4b2o3b4o46bo$67b2o3b2o2b2ob3o30bo198bo$74b4o34b3o89bob2o105bo$115bo82b
2o4bo2b2o2b2o93b2o5bobo3b2o$114b2o82b2o4b2o3bob2o60b2o31b2o5bob2o2b2o
6b2o5b2o$206b3o63bobo39b2o11b2o5b2o$74b4o68b2o59bo66bo52b2o5b2o$67b2o
3b2o2b2ob3o56b2o5bob2o2b2o174bo7bo$67b2o4b2o3b4o56b2o5bobo3b2o116b3o
53b2ob2o3b2ob2o$74b4o67bo125bo53b2ob2o3b2ob2o$75b3o40b2o23bo126bo54b2o
2bo3bo2b2o$109b2o6b2obo145b2o20bo37b2obo3bob2o$52b2o56bo6b2o2bo21bo
121bobo19b3o21bo15b2o5b2o$44bo6bobo3b2o51bobo5bo4bo21bo121bo18b2obo20b
o17bo5bo$44b2o4bo2bo3b2o52b2o11bo13b2o5bobo3b2o133b3o21b3o$48bo3bo65bo
19b2o5bob2o2b2o109b3o22b2o$48bobo66b2o3bo23b2o116bo$118b4o4bo136bo63b
2o5b2o$48bobo68b2o3b2obo199b2o5b2o$48bo3bo67bo6bo$44b2o4bo2bo3b2o68b2o
187b2o$44bo6bobo3b2o256bobo$52b2o90bobo5b2o5b2o94b3o59bo$107bob2o34b2o
5b2o5b2o96bo$107b2obo34bo110bo$252b2o$116b2o133bobo$117bo34b2o5b2o92bo
$151bo2bo3bo2bo$150bo3bo3bo3bo85b3o78bo$60b2o92b2ob2o91bo42bo26bo7bobo
$59b2o88bo5bobo5bo85bo43bobo24b3o6bo$61bo65bo22bo3bo3bo3bo82b2o46b2o
28bo16bo$127b2o25bo3bo85bobo75b2o14b3o$126bobo22bo9bo84bo90bo$151bo2bo
3bo2bo175b2o$43bo108b2o5b2o$41b2o274b2o$42b2o254b3o16b3o$119bo97b2o19b
2o60bo15bo2bo22b2o$115bo3bo12bobo83bo2b2o14bobo52b4o3bo17b2o16bo6bo$
99bo6bo9bo2bo12b2o84bobo2bo15bo51b2o41b2o3b2obo$98bobo5b3o7b2ob2o12bo
83b2obobobob2o56b2o4b2obo2bo36b4o4bo$99bo9bo7bobo98bo5b2obo6b3o47b2o5b
obob2o35b2o3bo$108b2o8bo97bo3b3o13bo55b2obo37bo$97b5o113bob3obob4o8bo
57b2o32b2o8bobo$97bo4bo112bo11bo3b2o85b2o6bobo8b2o$78bo21bo2bo112b3o5b
3o3bobo65b2o19bo6bo$56bo20b2o21b2obo114bo5bo7bo65bobo17bo6b2o5bobo$56b
3o18bobo17bo5bob2o112b5o66b3o7bo17b2o13bo$59bo37b2o4bobo121b3o59b4o7b
2o$42b2o14b2o10bobo24b3o2b2o2bo122bo52b2o4b2o3b4o$42b2o26bo2bo31b2o53b
o2bo64bo53b2o3b2o2b2ob3o$70bo2bo18bo33b4o34bo31b4o89b4o$10b2o5b2o5bobo
44b2o19b2o31bo3bo30bo3bo30bo3bo32b2o95b2o$10b2o5b2o5b2o10b2o58bo32bo
31b4o34bo31bobo94bobo$25bo10b2o57bo2bo3bo2bo19bo2bo66bo2bo32bo96bo$42b
o3b2o50bo3bo2bo7b2o105b3o6b2ob4o53b4o34b2o$42bo6bo18bo20b2o3bo2bo2b2ob
2ob2o5b2o107bo7bobo2bo46b2o3b2o2b2ob3o$10b2o5b2o23bo7bo15b3obo23b3o5bo
2bo115bo7bo52b2o4b2o3b4o46bo$9bo2bo3bo2bo22bo3bo3bo15bo2b4o29bo2bo111b
2o8bo2b3o56b4o48bobo$8bo3bo3bo3bo27b3o16b3o2bo10b2o15b2ob2ob2o108bobo
9bo61b3o49b2o$12b2ob2o18b2o5b3o22bo3b2o11bo17bo2bo112bo$7bo5bobo5bo13b
2o31b3o10b3o18bo2bo$8bo3bo3bo3bo22b2o23b3o10bo2b3ob2o123b3o104b2o$12bo
3bo26b2o10bo3b2o21bo3bobobo124bo105bo16bo$9bo9bo23bo10bobo3bo22b2obo2b
o16b2o106bo106bobo6bo6bob2o$9bo2bo3bo2bo34b2o3bo24bobo19bobo164b2o5b2o
15b2o23b2o5b3o5bob2o$10b2o5b2o39bo12b2o11bob2o16bobo2bo4b2o157b2o5b2o
14b2o30bo2bo6b2o$41b2o11b5obo10bo13bo2bobo13b2obob3o2bo158b2o5b2o16bo
28b2obo2bo$41b2o11bo4bobo10b3o11bo2b2o16bo4bobo158bo7bo46bobo$56bo2bob
o12bo8b3o21b5obo157b2ob2o3b2ob2o46bob2o$36bobo16b2o3bo22bo27bo159b2ob
2o3b2ob2o47bo$37b2o68b2o3bo15b2o141b2o2bo3bo2b2o$37bo69bobo3bo14bo23bo
50b2o67b2obo3bob2o$53bo54bo3b2o12bobo22b3o48bobo68b2o5b2o$54bo67b2o2b
2o15b2o4b2o3bob2o46bo69bo5bo9bobo67bo$52b3o41b2o24b2o19b2o4bo2b2o2b2o
133b2o27b2o39bo$96b2o4b2o45bob2o46b3o89bo27bo2bo2b2o32b3o$102bobo96bo
21bo96b2o2bobo13b2o$102bob2o94bo21b3o48b2o5b2o40b2o16bobo27b2o5b2o$93b
2o8b2o91b2o24bob2o47b2o5b2o40bo19bo27b2o5b2o$48b3o37b2o2bo2bo7bo45bob
2o42bobo25b3o93b2obo2bo16b2o$48bo2bo33bo2bo4bobo47b2o4bo2b2o2b2o39bo
25b2o94bo2bobobo$46bo3b2o32bobobo5bo31b2o15b2o4b2o3bob2o157bo5b2ob2o$
46b3o36bo2bob2o9bo2bo15b2obobobo23b3o160b2o54b2o5b2o$47bo40bob2o9bo2bo
18bo28bo161bobo52b2obo3bob2o$89bo4bo4b2ob2ob2o12bo180b3o4bo63b2o3b2o$
45bo44b5o6bo2bo14bo8b2o170b2o5b2o22bo40b2ob2o$44b6obo49bo2bo5b2o16bobo
170b2o5b2o20b3o40bobo$43bo8bo39bo6b2ob2ob2o2bobo8bo4bo4bo169bobo3bobo
21bob2o38b2ob2o$38b2obo2bo6bo39bobo7bo2bo4bo12bo2bo4b2o25b2o5b2o132b4o
4b2o24b2o$38bob2o2bo47bo8bo2bo3b2o4b2o6b3o32b2o5b2o19b3o110b2o2bo3bo
25b2o$45bobo23bo41bobo71bo111b2obo24bo4b2o35bobo5bobo$69bobo41bo72bo
113b3o23bo3b2obobo18bo15b2o5b2o$70b2o7b2o5b2o24b2o7b2o29bo29b2o142bo2b
3ob2o4b2o12bo$78bo2bo3bo2bo32b2o27b2o4b3o5b3o14bobo137b2o3bo2bo2b2o5b
2o12b3o$78bo9bo47bo14b2o3bo2bo3bo2bo16bo115b2o20b2o$81bo3bo50b2o19bo7b
o133bo$60b3o14bo3bo3bo3bo45bobo20bobobobo13b3o119bo$60bo15bo5bobo5bo
89bo118b2o17b2o$61bo19b2ob2o73b2ob2o15bo138bobo14b2o$40b2o35bo3bo3bo3b
o228bo9b2o5b2o$35b2o2b2obo5b2o28bo2bo3bo2bo239b2o$35b2o3bobo5b2o29b2o
5b2o70bo5bo$42bo114b2o5b2o$44bo$66bo$44bo19bo2bo11b2o5b2o60b2o$42bo20b
o5b2o8b2o5b2o61bo2b2o14b2o$35b2o3bobo5b2o7b2o3bo8bo39bo9b3o25bobo2bo
12bobo$35b2o2b2obo5b2o7b2o3bo8bo39b3o7b3o24b2obobobob2o10bo$40b2o21b3o
b2obo43bo9b2o23bobobob2obo177bo$65b2o46b2o5b3o2bo7bobo11bo16b3o169bobo
$133b2o11bob3obob4o8bo56bo112b2o$65b2o58bo8bo11bo4b3o4bo6bo56b3o$63b3o
b2obo49b2o3bo21b3ob3ob3o3b2o58b2obo$57b2o3bo8bo49bo2bo24b7o4bobo58b3o$
41bobo13b2o3bo8bo50bobo37bo59b2o103b3o$41b2o20bo5b2o256b4o$42bo21bo2bo
255b4o3b2o4b2o$66bo256b3ob2o2b2o3b2o$139b4o184b4o$138bo3bo20b2o$142bo
19bobo$138bo2bo20bo$118b2o40b2ob4o160b4o$118b2o30b3o8bo4bo156b3ob2o2b
2o3b2o$60bo91bo6bobo2bo158b4o3b2o4b2o$59b2o90bo6bo168b4o$59bobo59bo37b
2ob2o163b3o$90bo28b3o$88b3o27bo$87bo19bo10b2o$87b2o17bobo34b3o35bo$25b
o80bobo36bo34b3o$23b2o79b3ob2o20bo13bo9bo17b2o4b2o3bob2o$24b2o77bo24b
3o22b3o16b2o4bo2b2o2b2o$47bo49bo6b3ob2o17bo25bob2o21bob2o$47b3o47b3o6b
ob2o17b2o25b3o$50bo49bo14bobo36b2o$33b2o14b2o11b2o9b3obo21b2o16bo$33b
2o27b2o8bo3bob2o35b3o6b2o52bob2o$72b2o4bo34bo9bo2bo45b2o4bo2b2o2b2o$b
2o5b2o62bob4o35bo10b2o7b2o37b2o4b2o3bob2o6b2o5b2o$obo5bobo16b2o23bo79b
obo45b3o9bobo5bobo$27b2o21b2obo80bo46bo$31b2o15b2obob2o63bo$3b2ob2o23b
2o17bo48bo19b2o74b2ob2o$4bobo39bobo48b2obo17b2o76bobo24bo$3b2ob2o79b2o
9bob2o93b2ob2o22b3o$2b2o3b2o37b2o26b2o11b2o11bo11b2o12b2o66b2o3b2o21bo
b2o$2obo3bob2o15b2o47bo36bo12bobo59b2o3b2obo3bob2o20b3o$b2o5b2o9bo6b2o
44b3o38b3o11bo59bobo3b2o5b2o21b2o74bo6bo$20b2o50bo42bo71bo62bo47bo7b2o
3b2o$19b2o25bo3b2o196bo2bo46b2o5bobo3b2o$39b2o4bobo3bo195bo5b2o47bob3o
$b2o5b2o29b3o3b2o3bo39b2o101b2o5b2o39b2o3bo8bo46b3o$b2o5b2o28bo2bo7bo
12b2o27bo101b2o5b2o39b2o3bo8bo$37b2ob2o3b5obo10bo25b3o156b3ob2obo47b3o
$37b2ob2o3bo4bobo10b3o22bo49b2o5b2o22bo79b2o51bob3o$38b2ob2o4bo2bobo
12bo72b2o5b2o22bobo126b2o5bobo3b2o$41bo4b2o3bo86b2o5b2o22b2o78b2o47bo
7b2o3b2o$38b3o97bo7bo100b3ob2obo44bo6bo$39bo96b2ob2o3b2ob2o92b2o3bo8bo
$132bo3b2ob2o3b2ob2o92b2o3bo8bo6b2o5b2o$90b2o3b2o33b2o4b2o2bo3bo2b2o
98bo5b2o7b2o5b2o$90b2o3b2o34b2o4b2obo3bob2o100bo2bo$138b2o5b2o103bo$
108b3o28bo5bo49bo56b2o43bo$86b2o2b3ob3o2b2o9bo61b2o12bo7bobo55bobo10bo
bo29b2o$36bobo47bo2bo7bo2bo8bo44bo16bobo12b3o6bo56bo43bobo$37b2o48bobo
7bobo53b3o17bo15bo16bo55b3o3b3o$37bo50bo4bo4bo39b2o5b2o5b2obo32b2o14b
3o54bo9bo$53bo35b3o3b3o40b2o5b2o5b3o48bo57b3o5b3o$54bo36bobobo57b2o17b
2o10bo18b2o57bo7bo$52b3o37b3o75b5o3b3o3bo$169bo4bo5bo3bo10b3o$38b2o
129bo2b3o3b3o16bo64b2o5b2o$38b2o129b2o2bo7b2o12bobo10b2o52b2o5b2o43bob
o$42b3o126b2o5b2ob2o25bo106b2o$29b2obo9bo50bo84b2ob2o15b2o6bobo106bo$
29bob2o10bo48bobo8bo46b2o54b2o$91bo2bo8b3o7bobo34b2o$92b2o3b2o7bo6b2o
108bo$70b2o5b2o17b2o7b2o7bo78b2o27b3o9bo$70b2o5b2o19bo85b2o6bobo26b2ob
o9bobo$88b2o74b2o19bo6bo28b3o10b2o9b2o32b2o$87bobo74bobo17bo6b2o29b2o
20bobo33b2o$87bo78bo17b2o60bo10bo21bo20bo$70b2o5b2o7b2o66bo6bo4b2o89b
3o38b3o$69b2obo3bob2o68b2o3b2o7bo97bo36bo$61bo9b2o3b2o37b2o31b2o3bobo
5b2o96b2o21b2o13b2o14b2o$60bo11b2ob2o31b2o5bobo36b3obo46bo75b2o30b2o$
60b3o10bobo32b2o7bo38b3o36b2o7b3o75b2o$72b2ob2o40b2o75bobo6bo79b3o52b
2o5b2o$156b3o35bo9b2o79bo33b2o11bo5b2o5b2o$104bo49b3obo34b2o9bo52bo27b
4o25bo4b2o12b2o3b2o5b2o$69bobo5bobo23bobob2o39b2o3bobo5b2o69bo23bobo
28b2o24b3o16b2o4bo7bo$49bo6bo13b2o5b2o24bobobobo38b2o3b2o7bo68b2obo21b
o2bo26b3o16b2o5b3obo19b2ob2o3b2ob2o$48bo7b2o3b2o37b2obobobobo2bo41bo6b
o70bob2o14b2o5b2o3b2o21bobo15b2o2bo28b2ob2o3b2ob2o$48b2o5bobo3b2o37bo
2bo2b2ob4o120bo16b2o7b2o2bo21bo3bo2bo10bo2b3o27b2o2bo3bo2b2o$52bob3o
45b2o4bo150bo2bo10b2o11b6o11bo4bo28b2obo3bob2o$52b3o53bobo108b2o39b3o
10bobo9b2o2b2o13b5o5b3o3b2o16b2o5b2o$109b2o75b2o31b2o54bo30b2o4b5o3b2o
17bo5bo$52b3o101bo30bo75b2o10b2o8bo26b2ob2o$52bob3o97b2o31bobo15b2o9bo
46bo22b3o7b2o3bo12bo$48b2o5bobo3b2o76b2o5b2o7b2o31b2o15b2o10bo35b2o9b
3o19b3o7bo3bobo$48bo7b2o3b2o75bobo5bobo66b3o15b2o19bo11bo30bo3b2o35b2o
5b2o$49bo6bo176bobo17bo30b2o12bo39b2o5b2o$235bo17b2o30bo10bob5o11b2o$
141b2ob2o89b2o45b3o10bobo4bo11b2o$142bobo137bo12bobo2bo$141b2ob2o150bo
3b2o$140b2o3b2o171bo$138b2obo3bob2o48bo118b2o$139b2o5b2o49b2o118b2o$
173b2o11b2o8bo2bo$172b2o11bo2bo2b2o4bobo101bo$174bo11b2o2bobo3bo2bo6b
2o93bobo$139b2o5b2o40b2o6bo2bo6bobo27b2o5b2o56b2o3b3o$139b2o5b2o40bo7b
obo9bo27b2o5b2o61bo2bo$185b2obo2bo5b3o8b2o94bo4bo$164bo20bo2bobobo$
165b2o20b2ob2o38bo5bo7bo58bo5bo$164b2o63bo5b3o5b3o$229b3o3bo9bo58b2o4b
o$236b3o3b3o61b2o3bo$186b3o118bo3bo$184b2ob2o50bobo68bo$168b2o14b2ob2o
115b2o3b2o$168b2o15b2o117b3o$305bo9bob2o$176b3o57b2o5b2o70b2obo$176bo
59b2o5b2o$177bo27b2o77bo$205b2o62b2o5b2o5bo$165b2o32b2o68b2o5b2o5b3o$
165bo33b2o95b2o$166bo128bobo$165b2o130bo$201b2o67bo5bo$194b2o5b2o9bo
56b2o5b2o$194b2o16bobo53b2obo3bob2o$212b2o53b2o2bo3bo2b2o$267b2ob2o3b
2ob2o$267b2ob2o3b2ob2o$269bo7bo$269b2o5b2o$269b2o5b2o15b3o$194b2o73b2o
5b2o14b4o$194bobo88b2o4b2o3b4o$194bo90b2o3b2o2b2ob3o$292b4o4$292b4o$
285b2o3b2o2b2ob3o$190bo6bo87b2o4b2o3b4o$189bo7b2o3b2o88b4o$189b2o5bobo
3b2o89b3o$193bob3o$193b3o2$193b3o$193bob3o$189b2o5bobo3b2o$189bo7b2o3b
2o$190bo6bo!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

JP21
Posts: 333
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 3rd, 2019, 5:10 am

Gustone wrote:
December 2nd, 2019, 3:15 am

Code: Select all

x = 16, y = 7, rule = B3/S23
2b2o8b2o$2bobo7bobo$o2bobo4bo2bobo$bo2bo6bo2bo$bo9bo$2bo8bo$bo10bo!
Don't forget these:

Code: Select all

x = 32, y = 7, rule = B3/S23
4b2o10b2o10b2o$4bobo9bobo9bobo$b2o2bobo5b2o2bobo6bo2bobo$o2bo2bo5bo2bo
2bo8bo2bo$2b2o11bo11bo$bo$2o!
Which I got from this reaction (Gen 137):

Code: Select all

x = 49, y = 55, rule = B3/S23
11$18b2o16b2o$18b2o16bo$34bobo$34b2o16$13b3o10b3o$8b3obo7b2o7bob3o$12b
o3bo2bo2bo2bo3bo$12bo5bo4bo5bo$18b2o2b2o$15bo3bo2bo3bo$15bobo6bobo$16b
10o$18bo4bo$16bo8bo$15bo10bo$16bo8bo!
It's off-topic but I'll post it anyways.
A 13 year old guy that have useless discoveries about life and other rules.

Code: Select all

x = 13, y = 20, rule = B3/S23
11b2o$11b2o4$8b2o$8b2o2$2o$2o3$3b2o$3b2o2$11b2o$10b2o$12bo$3b2o$3b2o!

User avatar
Entity Valkyrie 2
Posts: 420
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 3rd, 2019, 6:48 pm

JP21 wrote:
December 3rd, 2019, 5:10 am
Gustone wrote:
December 2nd, 2019, 3:15 am

Code: Select all

x = 16, y = 7, rule = B3/S23
2b2o8b2o$2bobo7bobo$o2bobo4bo2bobo$bo2bo6bo2bo$bo9bo$2bo8bo$bo10bo!
Don't forget these:

Code: Select all

x = 32, y = 7, rule = B3/S23
4b2o10b2o10b2o$4bobo9bobo9bobo$b2o2bobo5b2o2bobo6bo2bobo$o2bo2bo5bo2bo
2bo8bo2bo$2b2o11bo11bo$bo$2o!
Which I got from this reaction (Gen 137):

Code: Select all

x = 49, y = 55, rule = B3/S23
11$18b2o16b2o$18b2o16bo$34bobo$34b2o16$13b3o10b3o$8b3obo7b2o7bob3o$12b
o3bo2bo2bo2bo3bo$12bo5bo4bo5bo$18b2o2b2o$15bo3bo2bo3bo$15bobo6bobo$16b
10o$18bo4bo$16bo8bo$15bo10bo$16bo8bo!
It's off-topic but I'll post it anyways.
Nope, It's not off-topic. P24 longboat flipper:

Code: Select all

x = 118, y = 79, rule = B3/S23
97b2o10b2o$54b2ob2o5bo3bo5b2ob2o17bob3o6b3obo$54b2obo5b2o3b2o5bob2o17b
o4bo4bo4bo$57bob2o11b2obo19b2obobobo2bobobob2o$57bo6b2ob2o6bo22bo2bo4b
o2bo$58b2o13b2o20b2ob2o2b4o2b2ob2o3b2o$52bobo6bo2b2ob2o2bo24bobob8obob
o4b2o$50b3ob3o5b3o3b3o25bo3b8o3bo$49bo7bo5bo5bo8b2o3bo13b2o10b2o3b4o$
49bob6o20bo2bobobo2bo2b2o22bo2bo$56bo20bob2obob4o3bo2b2o$50bo2bo22b2o
4bo8bobo2bo$51bobo2b2o10bobo4bo2bob2obob3o2b2o2bobo12b3o$10b2ob2o4b2o
3b2o4b2ob2o17bo3b3o10bo4b3o2bobobo4bo3bobob2o10b2o3bo$10b2obobo3b2o3b
2o3bobob2o21b3o4bo10b3o4bob2o2b2ob2obo3bo9b2o2bobo$13bo5bobobobo5bo24b
3o3b2o10b3o4b3o6bo2bob2o11bo5bo$13bo2bo11bo2bo20bo3b3o3bo11b3ob2o4bo2b
2obobobo2bo11b5o$14bo15bo20bobo2b2o5bo5bo5bo3bobob2o2bo2bobobob2o$8bob
o7bob2ob2obo10b2o11bo2bo16b2o4b2obobo6b2o6bo12b5o$6b3ob3o5bo2bobo2bo9b
obo17bo12b2o6bobo2b3o5b5obo11bo5bo$5bo7bo4b3o3b3o9b3o10bob6o20bobo4bo
5bo4bo11b2o2bobo$6bob6o21bo13bo7bo4b2ob2o11bo12b4o4bo8b2o3bo$6b2o4bo
21bob4o10b3ob3o3b3obob3o23bo4b2o10b3o$8bo3b2o18b2obo4bo11bobo4bo4bo4bo
5bo14bo7b2o$7bobo2bobo10bo5bobobob2obob3o14bob2o2b2obobo5b2o12b2o$8bo
2bo13bo5b3obob2obobobo15bo2b2o3bobo4b2o25b4o8bo2bo$11bo3bo2b2o15bo4bob
2o17b2o2b2obob2o29b6o7b4o$11bo3bo2b2o16b4obo21bo4bobo2bo19bo6bob4obo$
8bo2bo6bo21bo22b4ob2o2b2o17b2o5b3o6b3o6b2o$7bobo2bobo11bo10b3o27bo13bo
10b2o3bo4bo3bo3bo5b2o$8bo3b2o13bo9bobo25bobo14b2o12bob5o2bo2bobo$6b2o
4bo12b3o9b2o17b2o7b2o14b2o12bobo8bob2o$6bob6o43bo36bo2bo2b2ob4o$5bo7bo
4b5o34bobo27bo7b3obo3bo3b3o$6b3ob3o3b3obob3o33b2o25b2o12bobob4o3bo$8bo
bo4bo4bo4bo6bo28b4o8b4o9b2o7b3obob2obo3b2o$15bob2o2bob2obo6bo27bo3bo7b
o3bo16bo2b2o7bobo$16bo2b2o3bobo4b3o24bo2bo11bo20bo11bobo$17b2o2bo2bob
2o29bobo2bo2bo8bo2bo3b3o4b2o2b2ob4o5bobob2o$12b2o5bo4bobo2bo28bobo20bo
6bo2bobo4bo5b2o$8b2obobo5b4ob2o2b2o5bobo8bo2bo9b2o21bo7b2obo2bo2b2o$9b
obo11bo14bo11bo40bobo3b2o2bo$9bobo7b2o2bo10bo3bo7bo3bo40bob2obo2b2obo$
8b2o3bob2obob3o12b4o8b4o41bo4bo4bo4bobo$7bo3b4obobo39b2o27b3o3b3obob3o
3b3ob3o$8b3o3bo3bob3o35bobo26bo7b5o4bo7bo$11b4ob2o2bo2bo3b2o31bo27bo
15b6obo$8b2obo8bobo5b2o21b2o7b2o17b2o24bo4b2o$7bobo2bo2b5obo5bo22bobo
25bobo23b2o3bo$2o5bo3bo3bo4bo29bo27b3o22bobo2bobo$2o6b3o6b3o18b2o4b2o
2b2ob4o22bo28bo2bo$10bob4obo19b2o5bo2bobo4bo21bob4o20bo3bo$4o7b6o4b2o
16bo6b2obob2o2b2o17b2obo4bo8b3o3b3o2bo3bo$o2bo8b4o6b2o23bobo3b2o2bo15b
obobob2obob3o4bo2bobo2bo6bo2bo$2bobo16bo4b2o19bobob2o2b2obo14b3obob2ob
obobo3bo3bobo3bo2bobo2bobo$3b2o22bo20bo4bo4bo4bobo11bo4bob2o4b4o3b4o3b
2o3bo$2b4ob2obo2b2o10bo18b2o3b3obob3o3b3ob3o10b4obo7bo7bo5bo4b2o$5b2o
4bob3o7b4o12bo3b2o6b2ob2o4bo7bo13bo21b6obo$b2o2b2o8b2o5bo4bo5bo4bobo4b
o15b6obo10b3o22bo7bo$b2o2b2ob6obo5bob5o5b3o2bobo20bo17bobo23b3ob3o$12b
3o6bo6b2o6bobob2o22bo2bo11b2o11b3ob3o8bobo$20b2obobobo2bo2b2obobo3bo
17b2o2bobo24b2obobob2o$12b3o5bo2bobobob2o2bo4b2ob3o15b3o3bo20b2o2bo9bo
2b2o$b2o2b2ob6ob2o4b2obo2bo6b3o4b3o15b3o24bo4b2o5b2o4bo$b2o2b2o8bo4bo
3bob2ob2o2b2obo4b3o4bo5bo4b3o21b2obo5bo5bo5bob2o$5b2o4bob3o4b2obobo3bo
4bobobo2b3o3b3o3b3o3b3o3bo17b2ob2o15b2ob2o$2b4ob2obo2b2o6bobo2b2o2b3ob
ob2obo2bo3bo2b2ob2o2bo3b2o2bobo$3b2o8b2o6bo2bobo8bo4b2o4b3o5b3o7bo2bo$
2bobo17b2o2bo3b4obob2obo20bo$o2bo22b2o2bo2bobobo2bo20b6obo$4o3b2o10b2o
13bo3b2o20bo7bo$6bo3b8o3bo39b3ob3o$2o4bobob8obobo27b2ob2o9bobo$2o3b2ob
2o2b4o2b2ob2o24b2obobob2o$8bo2bo4bo2bo22b2o3bo7bo3b2o$5b2obobobo2bobob
ob2o19bo4b3o3b3o4bo$6bo4bo4bo4bo17b2obo17bob2o$6bob3o6b3obo17b2ob2o15b
2ob2o$7b2o10b2o!
EDIT: This reaction works at all periods above 14:

Code: Select all

x = 45, y = 17, rule = B3/S23
21b2o$22bo$22bobo$23b2o9bo2bo$26b4o3bo6b4o$26bo3bo2bo3bo2bo3bo$23bo2bo
6b4o3bo$22bobo2bo2bo10bo2bo$23bobo$8b2o14b2o$2b2o3b4o5b2o$2ob2o2b2ob2o
2b2ob2o$4o5b2o3b4o$b2o12b2o6b2o$23bobo$25bo$25b2o!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 6th, 2019, 6:23 am

Can you please stabilize the P5 fumarole hassler?

Code: Select all

x = 27, y = 8, rule = B3/S23
3b2o$17bo8bo$2b4o13b2o2b2o$b6o11b3o2b3o$bo4bo12b2o2b2o$2bo2bo14bo2bo$o
bo2bobo10bobo2bobo$2o4b2o10b2o4b2o!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

Jormungant
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Re: Oscillator Discussion Thread

Post by Jormungant » December 6th, 2019, 12:38 pm

Ez-Pez :D

Code: Select all

x = 38, y = 38, rule = B3/S23
2$18b2o$19bo$14bo2bo$14b8o$12b2o8bo$12bo2b2ob3obo$13b3obob2ob2o$21bo2b
o$13b4o6b2o$12bo2bo2bo$12b2o2bo$16bo4bo$18bobobo$18b2o2bo$6b2o5bo3b3o
2bob2o$6bobo3bobo2bo2bobobo$8bo2bo2bo4b2obo2bo$7b2obob2o2b3o4bob3o$10b
o3b4o4b2o4bo$10b2obo10bob2o$11bob5o2b5obo$9bobo4b2o2b2o4bobo$8bobob3o
8b3obobo$6b3obo3bobo4bobo3bob3o$5bo4bo4b2o4b2o4bo4bo$3b3ob2ob2o4b6o4b
2ob2ob3o$2bo3bobo2bo14bo2bobo3bo$bo2bo5bo16bo5bo2bo$bob3o3b2o16b2o3b3o
bo$2o4b3o2bo5bo2bo5bo2b3o4b2o$2b2o2bobobo4bo2b2o2bo4bobobo2b2o$2bo3bob
o2bo3bo2b2o2bo3bo2bobo3bo$2o2bobo2b2o6b4o6b2o2bobo2b2o$bob2ob2obo5bobo
2bobo5bob2ob2obo$bo2bobo2bo5b2o4b2o5bo2bobo2bo$2b2o3b2o20b2o3b2o!

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Re: Oscillator Discussion Thread

Post by Sokwe » December 8th, 2019, 8:18 am

Reduction of the p88 pre-pulsar shuttle:

Code: Select all

x = 63, y = 30, rule = B3/S23
22bo17bo$20b3o17b3o$16b2obo23bob2o$17bobo2b3o13b3o2bobo$17bobobo2bo13b
o2bobobo$15b2obo2b2o17b2o2bob2o$5bo2bobo3bo3bobo21bobo3bo3bobo2bo$5b5o
bobobobobob4o13b4obobobobobob5o$3b2o6bobobo3bobo2bo13bo2bobo3bobobo6b
2o$obo2b4ob2ob2ob2obo2bo17bo2bob2ob2ob2ob4o2bobo$2obobo4bobo7b2o19b2o
7bobo4bobob2o$3bobo3bob2o2b3o27b3o2b2obo3bobo$3bo4bo3bo4bo9b3o3b3o9bo
4bo3bo4bo$b2o4b2o4bo3b4o6bobo3bobo6b4o3bo4b2o4b2o$o2b3o3bo4bo2bo3bo5b
3o3b3o5bo3bo2bo4bo3b3o2bo$b2o4b2obo5bo4bo19bo4bo5bob2o4b2o$3b4o2bo4bob
obo2bo19bo2bobobo4bo2b4o$3bo2bobo3b3obo2bo23bo2bob3o3bobo2bo$7bo3bo4bo
bo25bobo4bo3bo$11b2o3bob4o19b4obo3b2o$17bo4bo17bo4bo$18bo2bo2bo13bo2bo
2bo$17b2o2b4o13b4o2b2o2$21b2o17b2o$21bo2bo13bo2bo$22b3o13b3o2$21bob2o
13b2obo$21b2obo13bob2o!
-Matthias Merzenich

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Scorbie
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Re: Oscillator Discussion Thread

Post by Scorbie » December 8th, 2019, 8:41 pm

Sokwe wrote:
December 8th, 2019, 8:18 am
Reduction of the p88 pre-pulsar shuttle:
And that's a drastic reduction. Well done!

Here's a mere stator reduction of a p7 from I think velcrorex.

Code: Select all

x = 39, y = 14, rule = B3/S23
14bobo7b2o$14b2obo6bo2bo2bo2bo$17bo8b2o2b4o$14b2obob2ob4o2b2o6bo$3bo
10bobobobobo2bobo2b7o$bo3bo10bo6bobobobo$5bo7bo2bo5b3o6b6o$o5b2obo4bob
2o2bo5b4o2b2obobo$2o2b2obobob2obobo3b5o8bo3bo$5bobo2bobobob4o4bobob4ob
obob2o$5bobob2obob2o4b2o4b2o4bob2o2bo$6b2obo2bo4b2o2bo3bo3bo2bo3b2o$
11bo2b2obob2o4b2ob2o3b3o$12b2ob2o18bo!
Best wishes to you, Scorbie

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 12th, 2019, 3:21 am

Are there any P41 oscillators?

https://conwaylife.com/ref/mniemiec/period.htm
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by mniemiec » December 12th, 2019, 3:53 am

Entity Valkyrie 2 wrote:
December 12th, 2019, 3:21 am
Are there any P41 oscillators?
Not yet. For many years, there were known oscillators of all periods except 19, 23, 38, and 41 (and only trivial 34s that combined independent p2 and p17 stators). With the recent discovery of the David Hilbert, period 23 has now been crossed off that list, but the others remain unsolved. Given how many oscillators work, it's highly likely that Life is omniperiodic, but nobody has been able to prove that so far, it's unlikely that anyone will be able to do so, other than by finding specific examples of each of the missing periods.

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 12th, 2019, 6:14 am

mniemiec wrote:
December 12th, 2019, 3:53 am
Entity Valkyrie 2 wrote:
December 12th, 2019, 3:21 am
Are there any P41 oscillators?
Not yet. For many years, there were known oscillators of all periods except 19, 23, 38, and 41 (and only trivial 34s that combined independent p2 and p17 stators). With the recent discovery of the David Hilbert, period 23 has now been crossed off that list, but the others remain unsolved. Given how many oscillators work, it's highly likely that Life is omniperiodic, but nobody has been able to prove that so far, it's unlikely that anyone will be able to do so, other than by finding specific examples of each of the missing periods.
Mark, I was wondering why it said that P41 was known?
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by dvgrn » December 12th, 2019, 9:55 am

Entity Valkyrie 2 wrote:
December 12th, 2019, 6:14 am
Mark, I was wondering why it said that P41 was known?
Maybe because there is a known p41 oscillator (on a torus), just no known finite p41 oscillator?

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Re: Oscillator Discussion Thread

Post by mniemiec » December 12th, 2019, 10:03 am

Entity Valkyrie 2 wrote:
December 12th, 2019, 6:14 am
Mark, I was wondering why it said that P41 was known?
I had erroneously thought that periods 23 and 41 were known at the time I created that page several years ago. It was then pointed out that this is incorrect, and I made the correction on my own working version; unfortunately, I haven't updated the site for several years, so the error still persists there. The period 23 error has now fixed itself, since reality has changed to agree with my web page. :)

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 12th, 2019, 4:21 pm

dvgrn wrote:
December 12th, 2019, 9:55 am
Entity Valkyrie 2 wrote:
December 12th, 2019, 6:14 am
Mark, I was wondering why it said that P41 was known?
Maybe because there is a known p41 oscillator (on a torus), just no known finite p41 oscillator?
I almost stabilized P41, just two cells became wrong.

Code: Select all

x = 21, y = 45, rule = B3/S23
7b2o3b2o$8bo3bo$2bo5bobobo5bo$2b3o4bobo4b3o$5bo4bo4bo$4b2o9b2o3$6b2o5b
2o$6b2o5b2o2$6bobo3bobo$6b3o3b3o$7bo5bo3$5b2o7b2o$6b2o5b2o$8bo3bo$7b2o
3b2o$7b2o3b2o2$3o15b3o2$7b2o3b2o$7b2o3b2o$8bo3bo$6b2o5b2o$5b2o7b2o3$7b
o5bo$6b3o3b3o$6bobo3bobo2$6b2o5b2o$6b2o5b2o3$4b2o9b2o$5bo4bo4bo$2b3o4b
obo4b3o$2bo5bobobo5bo$8bo3bo$7b2o3b2o!
#C [[ STOP 41 ]]
I did manage to stabilize it in StateInvestigator though, so maybe there is a catalyst in life that works?

Code: Select all

x = 21, y = 41, rule = StateInvestigator
10.E$9.3D$9.EAE$4.2D9.2D$4.E11.E10$7.2A3.2A$6.A.A3.A.A$6.A7.A$6.A.A3.
A.A$7.2A3.2A2$3A15.3A2$7.2A3.2A$6.A.A3.A.A$6.A7.A$6.A.A3.A.A$7.2A3.2A
10$4.E11.E$4.2D9.2D$9.EAE$9.3D$10.E!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by Gustone » December 13th, 2019, 5:33 am

Does anyone know how to hassle this thing back into a pseudobarberpole

Code: Select all

x = 24, y = 24, rule = B3/S23
10b2o$9bobo2$7bob2o2b2o$13b2o$5bobo$13bo$3bobo6bobo$12b2obo$bobo10b2ob
o$o2bo10b5obo$2o14bobob3o$7b2o9bo4bo$3b2obobo6bo4b2obo$3b2o2bob2o3bobo
bo2b2o$8b3o2bo2bob2o$10b2o2b3obo$9b2o7bo$10b3ob4o$15bo$10b2obo$11bob2o
$11bo2bo$12b2o!
Smallest p104?

Code: Select all

x = 17, y = 25, rule = B3/S23
5bobobobo$4bob2ob2obo$2b3o7b3o$bo4b2ob2o4bo$bo2b2obobob2o2bo$2obobo5bo
bob2o$bobo2b2ob2o2bobo$bobo3b3o3bobo$2bo11bo4$8bo$7bobo2$7bo3bo$11bo$
10bo$11b3o$5b2o6bo$5b2obo$9bo$6bo$7bob2o$9b2o!
Various pd interactions

Code: Select all

x = 19, y = 28, rule = B3/S23
17bo$17bo$16bobo$17bo$2bo14bo$b3o6bo6bo$5o5bo6bo$9b3o4bobo$7bo9bo$17bo
$7bob3o$10bo$10bo$5o5bo$b3o6bo$2bo6b3o3$9b3o$10bo$10bo5$9bo4bo$7b2ob4o
b2o$9bo4bo!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 13th, 2019, 6:44 am

P60 Octagon II/Four boats hassler:

Code: Select all

x = 283, y = 283, rule = B3/S23
148b2o6bo$148bo5b3o$137b2o7bobo4bo$137bo2bo5b2o5b2o$123bobo15bo$121bo
3bo2b3o10bo$121bo19bo8b3o$120bo4bo7b2o2bo2bo9b3o$121bo7bobo2bo2b2o10bo
3bo$116b2o3bo3bo5b3o$115bobo5bobo22b2o3b2o$115bo$114b2o$125bo14bo$125b
3o13bo$128bo10b3o10b3o$127b2o20b2o$149b2o$148b2o$149bobo$150b2o2$127b
2o3b2o$127b2o3b2o16b2o3b2o$144b2o4b2o3b2o$129b3o3b3o5b3o$129b3o5bo5b2o
bo5b3o$130bo5bo7b3o5b3o$145bo7bo4$155b2o$131b3o21bo$131b3o22b3o$130bo
3bo23bo2$129b2o3b2o2$145b2o9b3o$145b3o8b3o$144bob2o3b3o3bo$144b3o3b5ob
o$145bo5b4o2bo$154bob2obo$129b2o24bo2bobo$130bo25b2o2bo$127b3o30b2o$
127bo$139b2o$139bo$132bo4bobo$131bobo3b2o11b2o$114b2o14bo3b2o15bo$114b
obo13bo3b2o15bobo5b2o$115b3o12bo3b2o16b2o5bobo$116b3o12bobo26b3o12bo$
115b3o14bo28b3o8b4o$107b2o5bobo43b3o8b4o$106bobo5b2o43bobo9bo2bo$106bo
52b2o10b4o$105b2o65b4o6b2o$120b3o52bo6bobo$119bo3bo60bo$118b2obobo47bo
12b2o$118bo4bo8bobo35bo2bo$116b2ob4ob3o6b2o35bo2bo$115b2obo4bo3bo5bo
36bo2bo$114bo3bob2obobobo40bo3bob3o$114bobobob2obo3bo17b2o8bo12b4obo$
114bo3bo4bob2o18b3o7bobo8b2o4bo4bo$115b3ob4ob2o18bob2o7b2o10bob2obob3o
$118bo4bo20b3o16b3obob2obo$118bobob2o21bo16bo4bo4b2o$118bo3bo43bob4o$
119b3o41b3obo3bo$166bo2bo$166bo2bo$166bo2bo$116bo51bo$117b2o$112bo4b3o
$114bo2b2o$110bo5bo4bo$114b4o2b3o21bobo$111bobo4bob3o20bo$113bob2ob2o
3bo19bo$108bo3b2ob2obo10bo13bo2bo$109b3obo4bobo8b2o12b3o$109b3o2b4o10b
obo$110bo4bo5bo$113b2o2bo$112b3o4bo$99bo13b2o$100b2o13bo$98b2o$100bo8b
obo$104bo4bo2bo105bo$95bo9b2o5b2o11b2o91b3o$93bobo4b2o8bo3b2o8bobo18b
2o74bo$94bobo2bobo10b2o9bo21b3o72b2o$94bo4b2o8bo2bo10bo2bo17bob2o$109b
obo11bo20b3o$124bobo5b2o11bo$97bo27b2o5bobo$61bo36bo35bo77bo$59b3o36bo
35b2o75bo2bo$58bo152bo2bo5b2o3b2o$58b2o27bo123bo2bo6b5o$88b2o6b2o3b2o
106bo3bob3o3b2ob2o$83bo4b3o8bo109b4obo6b2ob2o$85bo2b2o6bo5bo104b2o4bo
4bo3b3o$81bo5bo4bo4b2ob2o106bob2obob3o$85b4o2b3o4bobo103b3obob2obo$12b
o40b2o3b2o8b3o11bobo4bob3o5bo44bobo56bo4bo4b2o$10b3o40bobobobo7bo3bo
12bob2ob2o3bo4bo43bo63bob4o$9bo44b5o7b2obobo7bo3b2ob2obo53bo60b3obo3bo
$9b2o44b3o8bo4bo8b3obo4bobo51bo2bo60bo2bo$56bo7b2ob4ob3o5b3o2b4o54b3o
61bo2bo$63b2obo4bo3bo5bo4bo5bo114bo2bo14bo$7bo54bo3bob2obobobo8b2o2bo
120bo14b3o$5b2ob2o52bobobob2obo3bo7b3o4bo132b5o7bo$62bo3bo4bob2o9b2o
136bobobobo6b3o$4bo5bo52b3ob4ob2o12bo13b3o119b2o3b2o9bo$66bo4bo27bo3bo
133bo4b2o3b2o$4b2obob2o2b2o51bobob2o26bo5bo107bo23bob2ob3o4bo$14bo51bo
3bo27b2obob2o106bo24bobobob2o4bobo7b2o21b2o$14bobo5b2o23b2o18b3o141b3o
23bo11b2o7b2o21bo$5bo9b2o5b2o23bo41bo148b3o14b2o10bo4bo6bobo$5bo2bo16b
2o10bo7bobo39b2o56b2o80b2o10b3o12b3o10bo4bobo4b2o$5bo19b3o7bobo7b2o6b
3o32b2o55b3o79bo11b3o13b2o10bo7b2o$8b2o15b2o6b2o17bo3bo87bob2o80b3o8b
3o16b2o2b2o11b2o$9bo12b2o9b2o16bo5bo7bo37b2o39b3o83bo9bo17b2o2bo2b2o8b
2o$7bobo12b2o9b2o17bo3bo9b2o35bo41bo117b4o5bobo7bo$7b2o26bobo15b3o9b2o
37b3o157bo7bo7b3o$25bo11bo15b3o50bo44b2o28b2o28b2o28b2o36bo$25bobo122b
4o11bo2bo11b4o11bo2bo11b4o26b4o11b2o22b2o$2b2o3b2o16b2o24b2o96b2ob2o
10bo14b2ob2o10bo14b2ob2o25b2ob2o10b2ob2o$2bo5bo43bo97b2o12bo3bo11b2o
12bo3bo11b2o28b2o13b4o$15bo33b3o90b2o20b4o26b4o58b2o$3bo3bo5bobo33bo
91bo2bo$4b3o7b2o124bo4bo121b2o7b3o$139bo6bo86bo33bobo5bo3bo$25b2o58b4o
26b4o20bo6bo84b3o33bo$24b4o13b2o28b2o11bo3bo12b2o11bo3bo12b2o7bo4bo84b
o43bo5bo$24b2ob2o10b2ob2o25b2ob2o14bo10b2ob2o14bo10b2ob2o7bo2bo85b2o
24b2o16b2o3b2o$2b2o22b2o11b4o26b4o11bo2bo11b4o11bo2bo11b4o9b2o111bobo$
3bo36b2o28b2o28b2o28b2o44bo50b3o15bo11bo$3o7bo7bo157b3o37b2o9b3o15bobo
26b2o$o7bobo5b4o117bo41bo35b2o9bo3bo17b2o9b2o12bobo$6b2o8b2o2bo2b2o17b
o9bo83b3o39b2o37bo7bo5bo16b2o9b2o12bo$6b2o11b2o2b2o16b3o8b3o80b2obo87b
o3bo17b2o6b2o15b2o$6b2o7bo10b2o13b3o11bo79b3o55b2o32b3o6b2o7bobo7b3o
19bo$2b2o4bobo4bo10b3o12b3o10b2o80b2o56b2o39bobo7bo10b2o16bo2bo$bobo6b
o4bo10b2o14b3o148bo41bo23b2o5b2o9bo$bo21b2o7b2o11bo23b3o141b3o18b2o23b
2o5bobo$2o21b2o7bobo4b2obobobo24bo106b2obob2o27bo3bo51bo$34bo4b3ob2obo
23bo107bo5bo26b2obobo51b2o2b2obob2o$34b2o3b2o4bo133bo3bo27bo4bo$44bo9b
2o3b2o119b3o13bo12b2ob4ob3o52bo5bo$45b3o6bobobobo136b2o9b2obo4bo3bo$
47bo7b5o132bo4b3o7bo3bob2obobobo52b2ob2o$56b3o14bo120bo2b2o8bobobob2ob
o3bo54bo$57bo14bo2bo114bo5bo4bo5bo3bo4bob2o$72bo2bo61b3o54b4o2b3o5b3ob
4ob2o7bo$72bo2bo60bo2bo51bobo4bob3o8bo4bo8b3o44b2o$70bo3bob3o60bo53bob
2ob2o3bo7bobob2o7b5o44bo$70b4obo63bo43bo4bo3b2ob2obo12bo3bo7bobobobo
40b3o$68b2o4bo4bo56bobo44bo5b3obo4bobo11b3o8b2o3b2o40bo$69bob2obob3o
103bobo4b3o2b4o$65b3obob2obo106b2ob2o4bo4bo5bo$58b3o3bo4bo4b2o104bo5bo
6b2o2bo$57b2ob2o6bob4o109bo8b3o4bo$57b2ob2o3b3obo3bo106b2o3b2o6b2o$57b
5o6bo2bo123bo27b2o$56b2o3b2o5bo2bo152bo$68bo2bo75b2o35bo36b3o$70bo77bo
35bo36bo$148bobo5b2o27bo$137bo11b2o5bobo$136b3o20bo11bobo$135b2obo17bo
2bo10bo2bo8b2o4bo$61b2o72b3o21bo9b2o10bobo2bobo$61bo74b2o18bobo8b2o3bo
8b2o4bobo$62b3o91b2o11b2o5b2o9bo$64bo105bo2bo4bo$171bobo8bo$183b2o$
167bo13b2o$168b2o13bo$163bo4b3o$165bo2b2o$161bo5bo4bo$152bobo10b4o2b3o
$137b3o12b2o8bobo4bob3o$136bo2bo13bo10bob2ob2o3bo$139bo19bo3b2ob2obo$
139bo20b3obo4bobo$136bobo21b3o2b4o$161bo4bo5bo$164b2o2bo$163b3o4bo$
164b2o$114bo51bo$113bo2bo$113bo2bo$113bo2bo$111bo3bob3o41b3o$111b4obo
43bo3bo$109b2o4bo4bo16bo21b2obobo$110bob2obob3o16b3o20bo4bo$106b3obob
2obo10b2o7b2obo18b2ob4ob3o$105bo4bo4b2o8bobo7b3o18b2obo4bo3bo$109bob4o
12bo8b2o17bo3bob2obobobo$106b3obo3bo40bobobob2obo3bo$109bo2bo36bo5bo3b
o4bob2o$109bo2bo35b2o6b3ob4ob2o$109bo2bo35bobo8bo4bo$97b2o12bo47bobob
2o$98bo60bo3bo$98bobo6bo52b3o$99b2o6b4o65b2o$108b4o10b2o52bo$108bo2bo
9bobo43b2o5bobo$108b4o8b3o43bobo5b2o$107b4o8b3o28bo14b3o$107bo12b3o26b
obo12b3o$121bobo5b2o16b2o3bo12b3o$122b2o5bobo15b2o3bo13bobo$131bo15b2o
3bo14b2o$131b2o11b2o3bobo$143bobo4bo$143bo$142b2o$155bo$121b2o30b3o$
122bo2b2o25bo$122bobo2bo24b2o$123bob2obo$125bo2b4o5bo$126bob5o3b3o$
125bo3b3o3b2obo$124b3o8b3o$124b3o9b2o2$147b2o3b2o2$124bo23bo3bo$124b3o
22b3o$127bo21b3o$126b2o4$129bo7bo$128b3o5b3o7bo5bo$128b3o5bob2o5bo5b3o
$137b3o5b3o3b3o$126b2o3b2o4b2o$126b2o3b2o16b2o3b2o$149b2o3b2o2$131b2o$
131bobo$133b2o$132b2o$132b2o20b2o$128b3o10b3o10bo$141bo13b3o$142bo14bo
$167b2o$167bo$128b2o3b2o22bobo5bobo$149b3o5bo3bo3b2o$129bo3bo10b2o2bo
2bobo7bo$130b3o9bo2bo2b2o7bo4bo$130b3o8bo19bo$141bo10b3o2bo3bo$141bo
15bobo$128b2o5b2o5bo2bo$129bo4bobo7b2o$126b3o5bo$126bo6b2o!
Smallest P104?

Code: Select all

x = 22, y = 16, rule = B3/S23
10b3o$4b2o$2bob2o6bo$bo10b2o$4bo6bo$2obo10bo$2o8bo3bo$15b2o$6b2o2b3o5b
o$6b2o5bo4b2obo$13bo3bo3bo$13bobo5bo3$12b2o$12b2o!
EDIT: Weird block interaction:

Code: Select all

x = 25, y = 25, rule = B3/S23
13b3o2$15bo$15b2o$14bo$17bo$13bo3bo$18b2o$9b2o2b3o5bo$9b2o5bo4b2obo$
16bo3bo3bo$4bo2bo8bobo5bo$bo6bo$o7bo$bob2o3bo6b2o$5b3o7b2o$10b3o$9bo3b
o$9bo$9bo$10bo2bo$10bo2$10bobo$11bo!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

JP21
Posts: 333
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 13th, 2019, 8:51 am

Entity Valkyrie 2 wrote:
December 13th, 2019, 6:44 am
EDIT: Weird block interaction:

Code: Select all

x = 25, y = 25, rule = B3/S23
13b3o2$15bo$15b2o$14bo$17bo$13bo3bo$18b2o$9b2o2b3o5bo$9b2o5bo4b2obo$
16bo3bo3bo$4bo2bo8bobo5bo$bo6bo$o7bo$bob2o3bo6b2o$5b3o7b2o$10b3o$9bo3b
o$9bo$9bo$10bo2bo$10bo2$10bobo$11bo!
That is already made... Beluchenko's p13
A 13 year old guy that have useless discoveries about life and other rules.

Code: Select all

x = 13, y = 20, rule = B3/S23
11b2o$11b2o4$8b2o$8b2o2$2o$2o3$3b2o$3b2o2$11b2o$10b2o$12bo$3b2o$3b2o!

User avatar
Entity Valkyrie 2
Posts: 420
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 13th, 2019, 3:48 pm

JP21 wrote:
December 13th, 2019, 8:51 am
Entity Valkyrie 2 wrote:
December 13th, 2019, 6:44 am
EDIT: Weird block interaction:

Code: Select all

x = 25, y = 25, rule = B3/S23
13b3o2$15bo$15b2o$14bo$17bo$13bo3bo$18b2o$9b2o2b3o5bo$9b2o5bo4b2obo$
16bo3bo3bo$4bo2bo8bobo5bo$bo6bo$o7bo$bob2o3bo6b2o$5b3o7b2o$10b3o$9bo3b
o$9bo$9bo$10bo2bo$10bo2$10bobo$11bo!
That is already made... Beluchenko's p13
Smaller pure rotor oscillator:

Code: Select all

x = 32, y = 32, rule = B3/S23
11bo$10bobo6b3o2$10bo10bo$10bo2bo7b2o$9bo10bo$9bo13bo$9bo3bo5bo3bo$10b
3o11b2o$5b3o7b2o2b3o5bo$bob2o3bo6b2o5bo4b2obo$o7bo13bo3bo3bo$bo6bo13bo
bo5bo$4bo2bo2$9b2o10b2o$9b2o10b2o2$24bo2bo$bo5bobo13bo6bo$bo3bo3bo13bo
7bo$bob2o4bo5b2o6bo3b2obo$4bo5b3o2b2o7b3o$6b2o11b3o$8bo3bo5bo3bo$8bo
13bo$11bo10bo$9b2o7bo2bo$10bo10bo2$10b3o6bobo$20bo!
EDIT: Extensible P42:

Code: Select all

x = 192, y = 83, rule = B3/S23
152bo15b4o$152b3o12bo4bo$155bo10bobo3bo$154b2o9bobo3bo$165bo$165bo$
157b3o5bo2bo$157bobo6b2o$157bo2$161bo$159bobo$160b2o$121b2o$121bo3b2o$
119bobo3bo26bo$115b2obobob2obo26b2o$115bob2o3bobo26bobo$98b2o19bobo9b
2o$98bo3b2o12b2o13b2o$96bobo3bo13bo2b3o3bo5b2o38bo$92b2obobob2obo14bob
3o3b2o4bo40bo$92bob2o3bobo16b2obo8bobo37b3o$75b2o19bobo9b2o21bobob3o$
75bo3b2o12b2o13b2o22bob4o51b2o$73bobo3bo13bo2b3o3bo5b2o23bo55bo$69b2ob
obob2obo14bob3o3b2o4bo78bobo$22b3o44bob2o3bobo16b2obo8bobo34b2o41b2o$
18b2o2bo2bo5b2o19b2o19bobo9b2o21bobob3o29bobo$18b2o2b2ob2o4b2o19bo3b2o
12b2o13b2o22bob4o31bo$24bobo23bobo3bo13bo2b3o3bo5b2o23bo33bobo35b2o$
46b2obobob2obo14bob3o3b2o4bo52b2o4b2o35bobo$46bob2o3bobo16b2obo8bobo
34b2o14bobo20b2o19bobo$50bobo9b2o21bobob3o29bobo13bo21b2o21b2o$24bobo
20b2o13b2o22bob4o31bo13bobo21bo20b2o$18b2o2b2ob2o4b2o14bo2b3o3bo5b2o
23bo33bobo14b2o$18b2o2bo2bo5b2o15bob3o3b2o4bo52b2o4b2o62b2o$22b3o24b2o
bo8bobo34b2o14bobo33bo33b4o$2b2o35b2o21bobob3o29bobo13bo31b4obo31bobo
2bo$bobo35b2o22bob4o31bo13bobo29b3obobo19bo10b2o2bobo$3o36b2o23bo33bob
o14b2o34bobo16b2o16bobo$2o17b2o18bo52b2o4b2o52bo18b2o17b2o$bobo16b2o
16bobo34b2o14bobo33bo23b2o36b3o$2bobo2b2o10bo19bobob3o29bobo13bo31b4ob
o22b2o35bobo$3bo2bobo31bob4o31bo13bobo29b3obobo21b2o35b2o$4b4o33bo33bo
bo14b2o34bobo8bob2o24b3o$5b2o62b2o4b2o52bo4b2o3b3obo15b2o5bo2bo2b2o$
52b2o14bobo33bo23b2o5bo3b3o2bo14b2o4b2ob2o2b2o$8b2o20bo21bobo13bo31b4o
bo22b2o13b2o20bobo$8b2o21b2o21bo13bobo29b3obobo21b2o9bobo$8bobo19b2o
20bobo14b2o34bobo8bob2o16bobo3b2obo$8bobo35b2o4b2o52bo4b2o3b3obo14bob
2obobob2o$8b2o35bobo33bo23b2o5bo3b3o2bo13bo3bobo23bobo$45bo31b4obo22b
2o13b2o12b2o3bo19b2o4b2ob2o2b2o$45bobo29b3obobo21b2o9bobo19b2o19b2o5bo
2bo2b2o$3b2o41b2o34bobo8bob2o16bobo3b2obo44b3o$2bobo78bo4b2o3b3obo14bo
b2obobob2o$2bo55bo23b2o5bo3b3o2bo13bo3bobo$b2o51b4obo22b2o13b2o12b2o3b
o$54b3obobo21b2o9bobo19b2o$19b3o37bobo8bob2o16bobo3b2obo$19bo40bo4b2o
3b3obo14bob2obobob2o$20bo38b2o5bo3b3o2bo13bo3bobo$59b2o13b2o12b2o3bo$
59b2o9bobo19b2o$38bobo26bobo3b2obo$38b2o26bob2obobob2o$39bo26bo3bobo$
65b2o3bo$69b2o$30b2o$30bobo$30bo2$34bo$24b2o6bobo$23bo2bo5b3o$26bo$26b
o$20bo3bobo9b2o$19bo3bobo10bo$19bo4bo12b3o$20b4o15bo!
EDIT: 74P85:

Code: Select all

x = 21, y = 21, rule = B3/S23
12b2o5b2o$12b2o3bo2bo$16bob2o$12b2o2bobo$10b3obo4bo$9bo4bob3o$o8b2ob2o
$3o10bobob2o$3bo5b2obo2b2obo$2bo6b2obobo$3bo9b2o$6b2o$6b2o2$7b2o$7b2o$
11bo$4b2o6bo$5bo5bo$2b3o7b3o$2bo11bo!
EDIT:
LifeWiki wrote:68P32.1 is the second smallest period-32 oscillator known after Gourmet.
Does this count as the second smallest period-32 oscillator? (Ignore the fact that any aircraft carrier can be replaced with a snake or beacon)

Code: Select all

x = 70, y = 20, rule = B3/S23
10b2o15b2o6b2o23b2o$10bo16bo7bo24bo$4b2ob2obo4b2o11b3ob2obo4b2o12b2ob
2obo4b2o$3bobobobo5bo14bobobo5bo10bobobobobo5bo$3bo4bo8bo15bo8bo8b2o5b
o8bo$2b2o12b2o23b2o23b2o2$16b2o23b2o23b2o$o14bobo7bo14bobo7bo14bobo$3o
7b3o3bo8b3o7b3o3bo8b3o7b3o3bo$3bo6bo2bo3b3o8bo6bo2bo3b3o8bo6bo2bo3b3o$
2bobo14bo7bobo14bo7bobo14bo$2b2o7bo15b2o7bo15b2o7bo2$2b2o7bo15b2o7bo
15b2o7bo$2bo13b2o9bo13b2o9bo13b2o$4bo5bobobo2bo11bo5bobobo2bo11bo5bobo
bo2bo$3b2o4bob2ob2o12b2o4bob2ob2o12b2o4bob2ob2o$9bo24bo24bo$8b2o23b2o
23b2o!
Or do they mean "the second smallest period-32 oscillator after Gourmet that is not a variant of Gourmet"?

EDIT: 240P344: (Figure eight on P43 glider shuttle)

Code: Select all

x = 65, y = 65, rule = B3/S23
27b2o$27bobo$29bo4b2o$25b4ob2o2bo2bo$25bo2bo3bobob2o$28bobobobo$29b2ob
obo$33bo2$19b2o$20bo8bo$20bobo5b2o$21b2o$35bo$36bo$34b3o2$25bo$25b2o$
24bobo4b2o22bo$31bo21b3o$32b3o17bo$34bo17b2o2$45bo$46b2o12b2o$45b2o14b
o$3b2o56bob2o$4bo9b2o37bo5b3o2bo$2bo10bobo37b2o3bo3b2o$2b5o8bo5b2o35b
2obo$7bo13bo22b2o15bo$4b3o12bobo21bobo12b3o$3bo15b2o22bo13bo$3bob2o35b
2o5bo8b5o$b2o3bo3b2o37bobo10bo$o2b3o5bo37b2o9bo$2obo56b2o$3bo14b2o$3b
2o12b2o$19bo2$11b2o17bo$12bo17b3o16b2o$9b3o21bo13bob2o$9bo22b2o4bobo5b
o$38b2o9bo$39bo5b2obo$45b2o$28b3o$28bo$29bo$42b2o$35b2o5bobo$35bo8bo$
44b2o2$31bo$30bobob2o$30bobobobo$27b2obobo3bo2bo$27bo2bo2b2ob4o$29b2o
4bo$35bobo$36b2o!

The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

JP21
Posts: 333
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 15th, 2019, 3:03 am

Is this known?

Code: Select all

x = 14, y = 6, rule = B3/S23
2bo3b2o3bo$bobobo2bobobo$bobob4obobo$2obo6bob2o$3bo6bo$3b2o4b2o!
If it is known, who discovered it?
It can be extended:

Code: Select all

x = 29, y = 6, rule = B3/S23
2bo3b2o3b2o3b2o3b2o3bo$bobobo2bobo2bobo2bobo2bobobo$bobob4ob4ob4ob4obo
bo$2obo21bob2o$3bo21bo$3b2o19b2o!

Code: Select all

x = 29, y = 7, rule = B3/S23
2bo3b2o8b2o$bobobo2bo6bo2bo5b2o$bobob4o6b4o6bo$2obo21bob2o$3bo6b4o6b4o
bobo$3b2o5bo2bo6bo2bobobo$11b2o8b2o3bo!
A 13 year old guy that have useless discoveries about life and other rules.

Code: Select all

x = 13, y = 20, rule = B3/S23
11b2o$11b2o4$8b2o$8b2o2$2o$2o3$3b2o$3b2o2$11b2o$10b2o$12bo$3b2o$3b2o!

mniemiec
Posts: 1091
Joined: June 1st, 2013, 12:00 am

Re: Oscillator Discussion Thread

Post by mniemiec » December 15th, 2019, 3:18 am

JP21 wrote:
December 15th, 2019, 3:03 am
Is this known? ... If it is known, who discovered it? It can be extended: ...
Candelabra has been known for almost 50 years now, and has many known trivial stator variants.

User avatar
Gustone
Posts: 597
Joined: March 6th, 2019, 2:26 am

Re: Oscillator Discussion Thread

Post by Gustone » December 16th, 2019, 2:20 pm

Unix hassler

Code: Select all

x = 34, y = 34, rule = B3/S23
18bo$17bobo3b2o6b2o$17bobo4bo6bo$16b2obob3o8bo$9b2o5bo2bobo9b2o$8bo2bo
6b2o9bo$11bo5bobo5bo2bo2b2o$11b2o5bo4bo2bo3bo2bo$5bo3bobo5bobo2bo3bo5b
2o$4bo3bobo5bo2b2obo3bo$4bo4bo6b2ob2obob2ob2o$5b4o8bo4bobobobo$7bo9bob
ob2obob2o$18b2obo3bo$21bo4bobo$21b2o4b2o$3b2o4b2o$b3o2bobob3o$o4bobo5b
o$b6ob3ob2o$9b2o$3b2o7b4o$3bo4b5o2bo$bobo3bo$b2o7b3o$6bo3bo2bo$7b3ob2o
bo$10bobo2bo$6bo3b2o2b2o$5bo$7bo$b2obobo$bob2obobo$7b2o!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

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Entity Valkyrie 2
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 16th, 2019, 5:39 pm

Gustone wrote:
December 16th, 2019, 2:20 pm
Unix hassler

Code: Select all

x = 34, y = 34, rule = B3/S23
18bo$17bobo3b2o6b2o$17bobo4bo6bo$16b2obob3o8bo$9b2o5bo2bobo9b2o$8bo2bo
6b2o9bo$11bo5bobo5bo2bo2b2o$11b2o5bo4bo2bo3bo2bo$5bo3bobo5bobo2bo3bo5b
2o$4bo3bobo5bo2b2obo3bo$4bo4bo6b2ob2obob2ob2o$5b4o8bo4bobobobo$7bo9bob
ob2obob2o$18b2obo3bo$21bo4bobo$21b2o4b2o$3b2o4b2o$b3o2bobob3o$o4bobo5b
o$b6ob3ob2o$9b2o$3b2o7b4o$3bo4b5o2bo$bobo3bo$b2o7b3o$6bo3bo2bo$7b3ob2o
bo$10bobo2bo$6bo3b2o2b2o$5bo$7bo$b2obobo$bob2obobo$7b2o!
Reduced:

Code: Select all

x = 29, y = 29, rule = B3/S23
18bo$17bobo4bo$17bobo2b3o$16b2obobo$9b2o5bo2bob4o$8bo2bo6b2obo2bo$11bo
5bobob2o$11b2o5bo2bo2bo2b2o$5bo3bobo5bobobobobo2bo$4bo3bobo5bo2bobob5o
$4bo4bo6b2o4bo$5b4o8bob2obob4o$7bo9bo2bobobo2bo$18b2o3bo3$3b2o4b2o$b3o
2bobob3o$o4bobo5bo$b6ob2obobo$11b2o$3b7o$2bobobo3b3o$2bobo3b2o3bo$b2ob
2obobob2o$8b2obo$9bobo$7bobob2o$7b2o!
Also:

Code: Select all

x = 16, y = 16, rule = B3/S23
7bo$6bobo$2b2o2bo2bo2b2o$2b2o6bob2o$8b2o$3bo$2bobo8b2o$bo2bo10bo$o10bo
2bo$b2o8bobo$12bo$6b2o$2b2obo6b2o$2b2o2bo2bo2b2o$7bobo$8bo!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » December 16th, 2019, 10:06 pm

mniemiec wrote:
December 15th, 2019, 3:18 am
JP21 wrote:
December 15th, 2019, 3:03 am
Is this known? ... If it is known, who discovered it? It can be extended: ...
Candelabra has been known for almost 50 years now, and has many known trivial stator variants.
Is this Candelabran rephasing known?

Code: Select all

x = 44, y = 12, rule = B3/S23
6b2o3b2o15bo4bo4bo$2b2obo2bobo2bob2o10bobo2bobo2bobo$o2bob4ob4obo2bo5b
o2bob4ob4obo2bo$2obo11bob2o4bobobo11bobobo$3bo11bo8bo2bo11bo2bo$3b2o9b
2o11b2o9b2o2$8b3o21b3o$8bo2bo20bo2bo$8bo23bo$8bo23bo$9bobo21bobo!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please see User:Entity Valkyrie 2 for my own pages.

Please see User:Entity Valkyrie 2/StateInvestigator. Expect me to post StateInvestigator patterns in ExtendedLife threads.

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Re: Oscillator Discussion Thread

Post by Sokwe » December 16th, 2019, 10:19 pm

Entity Valkyrie 2 wrote:
December 16th, 2019, 10:06 pm
Is this Candelabran rephasing known?

Code: Select all

x = 44, y = 12, rule = B3/S23
6b2o3b2o15bo4bo4bo$2b2obo2bobo2bob2o10bobo2bobo2bobo$o2bob4ob4obo2bo5b
o2bob4ob4obo2bo$2obo11bob2o4bobobo11bobobo$3bo11bo8bo2bo11bo2bo$3b2o9b
2o11b2o9b2o2$8b3o21b3o$8bo2bo20bo2bo$8bo23bo$8bo23bo$9bobo21bobo!
Yes.
-Matthias Merzenich

JP21
Posts: 333
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » December 16th, 2019, 11:31 pm

Entity Valkyrie 2 wrote:
December 16th, 2019, 5:39 pm
Gustone wrote:
December 16th, 2019, 2:20 pm
Unix hassler

Code: Select all

x = 34, y = 34, rule = B3/S23
18bo$17bobo3b2o6b2o$17bobo4bo6bo$16b2obob3o8bo$9b2o5bo2bobo9b2o$8bo2bo
6b2o9bo$11bo5bobo5bo2bo2b2o$11b2o5bo4bo2bo3bo2bo$5bo3bobo5bobo2bo3bo5b
2o$4bo3bobo5bo2b2obo3bo$4bo4bo6b2ob2obob2ob2o$5b4o8bo4bobobobo$7bo9bob
ob2obob2o$18b2obo3bo$21bo4bobo$21b2o4b2o$3b2o4b2o$b3o2bobob3o$o4bobo5b
o$b6ob3ob2o$9b2o$3b2o7b4o$3bo4b5o2bo$bobo3bo$b2o7b3o$6bo3bo2bo$7b3ob2o
bo$10bobo2bo$6bo3b2o2b2o$5bo$7bo$b2obobo$bob2obobo$7b2o!
Reduced:

Code: Select all

x = 29, y = 29, rule = B3/S23
18bo$17bobo4bo$17bobo2b3o$16b2obobo$9b2o5bo2bob4o$8bo2bo6b2obo2bo$11bo
5bobob2o$11b2o5bo2bo2bo2b2o$5bo3bobo5bobobobobo2bo$4bo3bobo5bo2bobob5o
$4bo4bo6b2o4bo$5b4o8bob2obob4o$7bo9bo2bobobo2bo$18b2o3bo3$3b2o4b2o$b3o
2bobob3o$o4bobo5bo$b6ob2obobo$11b2o$3b7o$2bobobo3b3o$2bobo3b2o3bo$b2ob
2obobob2o$8b2obo$9bobo$7bobob2o$7b2o!
Also:

Code: Select all

x = 16, y = 16, rule = B3/S23
7bo$6bobo$2b2o2bo2bo2b2o$2b2o6bob2o$8b2o$3bo$2bobo8b2o$bo2bo10bo$o10bo
2bo$b2o8bobo$12bo$6b2o$2b2obo6b2o$2b2o2bo2bo2b2o$7bobo$8bo!
I thought this was the useless discoveries thread...........
A 13 year old guy that have useless discoveries about life and other rules.

Code: Select all

x = 13, y = 20, rule = B3/S23
11b2o$11b2o4$8b2o$8b2o2$2o$2o3$3b2o$3b2o2$11b2o$10b2o$12bo$3b2o$3b2o!

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