Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
Moderator
Posts: 1637
Joined: July 9th, 2009, 2:44 pm

Re: Oscillator Discussion Thread

Post by Sokwe » March 7th, 2020, 1:21 am

JP21 wrote:
March 6th, 2020, 11:06 pm
Where is the newer version??? https://www.conwaylife.com/wiki/P55_pre-pulsar_hassler
Either in jslife or the osc-supplement collection. These two collections contain just about everything up to the end of 2014.
-Matthias Merzenich

JP21
Posts: 1000
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » March 7th, 2020, 8:32 pm

Code: Select all

x = 5639, y = 145, rule = B3/S23
2091b2o$2091bobo$547b3o1544bo2b2o$2092b2obo2bo$547b2o2b2obo1536bobob2o
$547bo4bobo1537bo$554bo1591b2o11b2o123b2o12b2o$545bo890b2o708b2o3bo3bo
3b2o123b2o12b2o1508b2o$545bobo4bo880bo2b2o713bo3bo1652bobo$545bob2o2b
2o879bo4bo656b2o55bo3bo88b2o1564bo4b2o$1432bo4bo655bo2bo48bo15bo82b2o
1560b4ob2o2bo2bo$550b3o884bo655bobo48bobo13bobo1643bo2bo3bobob2o$478b
3o950b2obobo507b2o15b2o26b2o4b2o3bo92bobo49bo4bo5bo4bo124b2o8b2o789bo
721bobobobo$476b2o953b2ob2o380b2o10b2o114b2o15b2o26bobo2bobo3b3o44bo
40b2o4bo54b3o3b3o127bo2bo6bo2bo788b3o720b2obobo$476bo269b2o10b2o1055bo
2bo2b4o2bo2bo160bo2bo8bo41b3o39bobo18bo176bo12bo791bo723bo$264bo153b2o
3b2o51bo3bo207b6ob2o48bobo10bobo675b3o376b3o2b6o2b3o33bo10bo68b4o42bo
4bo6b2o40bo8bo2b2o29bo20b3o131b2o41bo12bo73b2o715b2o$175bobo5bo3bo5bob
o67bobo152bobobobo48b3ob2o196b2o11b6ob2o48b3o10b3o9b2o88b2o5b2o949b10o
35bobo8bobo51b2o14bo2bo42b2o2b2o39b2o7b2o6bobo2bo28b2o23bo27bo27bo22b
2o51b2o29b2o10bo10bo10b2o56bo3bo2bo2bo1423b2o$174bo3bo4bo3bo4bo3bo221b
obobobo48bo2bobo3b2o136bo3bo34b2o14b2obo16b2o74bo34b2o28b2o22b2o5b2o
877b2o7bo61bo10bo35bo10bo53bo35bo26b2o42bo15bobobo53b2o26bobo25bobo21b
2o47bo4bo29b2o5b3o16b3o5b2o54b3o3b3o3b3o658b2o11b2o49b2o698bo8bo$175bo
7bo3bo7bo45b2o18bo3b2o29bo120bo2bobo2bo46bo3b2o4bo3bo28b2o25b2ob2o69bo
2bobobobo2bo4bo25b2o2b2o14bo8b2o5b2o33b3ob3o9b2o10b2o11bobo25b2o6bo28b
o466bo80bo15bo138b2o17bo188bo8bo2bo57b2o8b2o100bobo28bo4b2o69bobo12b2o
bob2o33bobo40b2o3bo27bo3b2o29bo36bo3bo36bo3bo14bo3bo50b2o7bo15bo7b2o
648b2o11b2o49b2o698bobo5b2o1103b2o4b2o52b2o4b2o$177b2ob2obo3bob2ob2o
46bo2bo16bo5bo27b2obo119bo7bo46bo8bo2b3o27bo2bo27bo40b2o3b2o23bobo2bob
o2bobo3bob2o14bobo11b2o10bo11b2o5b2o34bobobo9b4o8b4o11b2o23bo2bo6bobo
24bobo123b2o340b3o79b2o13b2o109b2o27bo18b3o186bobo4bo4bo4b2o76b3ob3o
12bo5bo4bo5bo12b3ob3o32b2o5bo16b2o3bobo5bo15b2o31b2o19b2o11bo3bo3bo32b
2o12b2o13bo2b2o9b2o35b2o15b6o6bo2bo35b2o7b3o29bo22bo51bo7b2o5b3o5b2o7b
o707bobo704b2o294b2o9b2o803bobo2bobo52bobo2bobo$183bo3bo52bo2bo17bobo
28b2o41b2o80bobo3bobo19bo13bo12bo2bo5bo4b2o26b4o7bo2b2o4bo5bo2b3o18b3o
19bobobobo24bo2b2ob2o2bo4bo4bo11bo13bo2bo10bob2o7b2o5b2o48bo3bo6bo3bo
16bo4bo14b3o8b2o24b2o124bobo129bo291b2o13b2o110bo25bobo21bo186b2o13bo
2bo56bo7bo13bo6bo3bo4bo5bo4bo5bo4bo3bo6bo41b2o16b2o2b2obo5b2o15bo21bo
6b2o2bo27bo4bo4bobobo32bo11b2o13bobo2bo25b2o3b2o30bo5bo10bo43bo32bo20b
o52bobo11bo3bo11bobo308bo214b2o184bo718bo281b2o9b2o805bo2bo56bo2bo$
176bo3bo9bo3bo68b2o6bo23b2o23b2o3b2o9bo80bobo3bobo20b2o9b2o20b2o3bo16b
o2bo7b3o2b3o5b2o2bob2obo5bobobo4bo6bo7bob3o2bobo13bo3bo11b2o16bobo12b
3o5b2o2bo4bo12bo2b2o8b2o7b2o41bo3bo14bo4bo19b2ob4ob2o3bo4bo6b3o58b2o3b
2o69b2o23bo129b3o7b2o281bo13bo111bobo23b2o21b2o191bo8b2ob2o50bo6bo5b2o
10b2o3b2o3bob3o3bo7bo2bo7bo3b3obo3b2o3b2o37b2o6b3o13b2o23bobo17b2obo5b
ob2o15b2o9b2ob2o2bo3b2o3bo46bo5b3o5b2obo17bo9bo3bo9bo22bo3bo6bo4bo4b2o
145b2o11b2ob2o11b2o308bobo175b2o16b2o18b2o119bo4b3o9b3o4bo760bo1097bo
4bo54bo4bo549b2o4b2o$115bo20b2o36bobo17bobo42bo4bo26bo20b3o26bo3bo8bo
65bo12b7o3b7o15bo4b2ob2o4bo17b2o4b3o3bo10bob2obo5bo8bo8bobo10b2o3b3o5b
o4b5obo2bob4o28b2o13b2o5b2o17b2obo2bob2o10bobo2b2o17b2ob6o15bo34bo2bo
4bo2bo18bo4bo3b2ob4ob2o3bo3bo7b6o2b6o2b6o27bo2bobo2bo40b2o3b2o21b2o
156bo6bo199b3o207b2o13bobo2bobo217b2ob2o8bo51b2o3bo3bo18bo6bo3bo4bo5bo
4bo5bo4bo3bo6bo41b2o4bobo40b2o17bo2bo4bo18bo2bo10bo4bo4bob2o52bo3bo6bo
17b2o6bo9bo6b2o18b3o17bo3bobo17b2o21bo189bo214b3o54bo4b2o109b2o42bo16b
o139bobo3bobo9bobo3bobo33b3o721b3o330b2o12b2o751bo4bo54bo4bo549bobo2bo
bo$106bo7bobo18bo2bo99bob4obo11bo5b2o4b3o47bo7b2o3bobo16bo3bo20bo2b2o
7bo10bobo8b3o4b2o5b2o4b3o12b2obo7bob2o17bo4bob3obobo10bo2bo6bo8bo9b2o
8b3o3b2o8b4obo2bob5o4bo6bo3b2o3b2o3bo21bo7bo7b3o11b2o38b2ob6o15b3o8b2o
5bobobobo13bo4bo16b2o14bo4bo6b3o56bo3bobo3bo24b2o13b2o3b2o16bo10bo144b
o5b2o4bobo413bobo2bobo2bo2bo2bo2bo216bo2bo13b2o57b3o2bobo6b3ob3o12bo5b
o4bo5bo12b3ob3o11b2o6bo24b2o28b2o17b3o10b3o5bo13bo2bo2bobo15bo3bo57b2o
bo4b2o13b3o3bo6b2o7b2o6bo3b3o13bo2b5o7bo3bo6bo2b2o13b2o5b2o11bob2o96bo
10b3o17b3o10bo46b3o214b3o28b2o3bo3b2o14bobo2bobo38bo70bo43bobo12bobo
138bo2bo21bo2bo25b2o5bo2bo129b2o776bo95b3o7b3o35bo2bo12b2o751bo4bo4bo
2bo46bo4bo4bo2bo543b4o$105bob3o2b2obo20bobo16b3o16bo19bo40b2o2bo4bo2b
2o8bo11b2o14b3o29bobo30bobobobo10bo2b2o2bobobo5bo3bo7bo2b2o9bo4b3o2bob
o2b3o4bo13bobo2bobo2bobo20bob3o2bo2b2o10bo2bo7b3o2b3o12bo7bo4bobobo7bo
bo2b3obo7bo7bobob2o3b2obobo6bo16bo3bo10bo4bo74bo7bo8bobo10bo3bo6bo3bo
10bobo23b3o8b2o24b2o27bobo28bo2bo33bobo8bobo13bo3bo5b3o20bo96b3o9b2o
200bobo210bo2bo2bo2bo2bobo2bobo218b2o4bo4bo4bobo9b2o15b2o13bobo2b3obo
3bo3bob4o71bob2o4bo3b4o42b2o5b2o16bo2bo19bob2o9b5obob2o15b2obob5o53bo
5bo67bo3bo9b2o6b2obobo19b2obo11b2o5b2o90b3o9bo19bo9b3o45bo173b2o11b2o
29b3o28b2o2bo5bo15bo4bo39bo68bobo44b2o12b2o111b2o11b2o14b2o5bo2b2o3b2o
2bo5b2o26b2o5bo3bo127bo2bo775b3o93b3o7b3o806b2o5bob2obo47b2o5bob2obo
540bo2b2o2bo$106bo2bo2bo19b2o3bo35b2o18b2o19bo8b2o3b2o4bo4bo4bo4bo5b3o
7b2o2b2o2b3o12b2o2b3ob2o30bobobo16bo7bo9bo10bo2bobo3bo4bo2bobob2ob2o7b
3o5b2ob2o5b3o15bobo5bobo21bo2b2o16bob2obo8b4o14bo3bo7b3o2bo14b3o15bo3b
2o3b2o3bo5bobo32b2obo73b2o5bobo21b4o8b4o10bo25bo2bo6bobo24bobo23b3o3b
3o21bo4bo3bo30bobo3bo2bo3bobo12bo2bo4b3o21b2o12b2o9b2o74bo4b3o6b2o195b
obo52b2o3b2o115b2o35bobo2bobo13b2o220bo2bo8bo10bo15bo14b4obo4b3o8b2o
28bo41bo8bo3bo22b2o20bo2bo22bob2o19b2o2bo14bo3bo15bobo2bo2bo61bo63bobo
b2o6b2o9bo3bo21bo21b2o93bo13b3o5b3o13bo48b2o172b2o11b2o26b3o7b2o27bobo
63bo68b2o31b2o17bo4bo26b2o43b2o14b2o27b2o11b2o25bo3bo27b2o19bo116bo13b
o12b2o764bo7b3o147bo761bo2bo56bo2bo541bo2b2o2bo$109bo2bo20bob2o16bobob
obo13bo19bo10b3o6bobo8bobobo5bo4bo4bo4bo5b2o6bob2o4b3o21b7o13bobo49bo
3bo4bo4b2obobo2bob2obo4b2o46b3o5b3o20b3o2b2o7b2o7bo2bo9bo2bo16bobo7bo
57bo2bo2b2o7bo2bo3bo2bo11bo67bo13b2o23b2o10b2o10b2o27b2o6bo28bo54b2o3b
ob2o29bobo4bo2bo4bobo11b2o7bo6b2o13b2o13b4obo5b2o67bo5b2o4b3o6bo251b2o
3b2o23b2o7b2o54b2o12b2o12bo31b2o23bobo22b2o199bo7b2o7bo19bo12b2o47b3o
9b3o32bo5bo20b2o4bobo19b3o18b2o4bo24b2o10b2obo4bo4bo10bo2bo18b2o45b2o
63b2o2bo6bo3bo7b5o2bo134b2o14bo7bo14b2o14b2o108bo14bo80bo2bo9bo2bo11b
2o12b3o7b2o29b2o61b2o65bo26bo7bobo15b2ob4ob2o23b2obo16b2o23bo2bo14bo
63bo3bo3bo3bo23b2o15bo3bo115bobo12bo12b2o571b2o190b2o11bo128b2obo12bob
o760bo2bo56bo2bo543bo2bo18b2o4b2o$135bo35bo2bo16bo2bo29b2ob2o6b2o2bo4b
o2b2o6b2o2b3obobo5b3o12b7o37bobobo13b3o5b3o11b2o4bob2obo2bobob2o4bo4bo
3bo7b3o5b2ob2o5b3o15b3o5b3o22bo10b2o22b2o18bo7b2ob2o39bo3bo14bob2o8b2o
5b2o80b3o96b2o28b2o70b3o3b3o2b2o9bo5bo2bo5bo13b4o4bobo5bo12bo15bobo2b
3o72b3o16bobo117bo11bo66b3o48bo21b3o10b2o5b2o10b3o11b2o12bo3bo8b2obo2b
ob2o4b2obo2bob2o8bobo9b2o17bobo25bo22bob2o22bo191b5o11b5o60bo7b3o7b2o
24b2obo9bo16b2o6b3o19bo18bobo40bo3b2o3bo2b2ob2o9b2o19bo60b3o3bo6b2o7b
2o6bo3b3o18bobo3bo17b3o22bo41bo20bo102bo2bo19bo86bobo4bo7bobo80bobo9bo
bo12bobo11b3o32b2o65bo68bo24b3o8bo18bo4bo27bo18bo21bo2bobo14bobo62bo9b
o41bo2bo8b2o66b2o20b2o17bo7bo3bobo576b2o7bo201bo2bobo22b2obo13bob2o85b
obo2b2o2b2o2bo2bo759bob2obo54bob2obo564bobo2bobo$135bo15bobo5bobo4bo4b
o14bo4bo11bo4bo3b2o3bo6bobobo9bob4obo11b3o30b2ob3o2b2o13bobo35b2ob2o
11b2ob2obobo2bo4bo3bobo2bo10bo6bo4b3o2bobo2b3o4bo14bobo5bobo25bo8bobo
66bo24bobobobo11b2o72b3o29bo5b3o8b2o16b3o10b3o93bo4b2o7b2o4bo12b2obo3b
2o8b2o13b2o38bo2b2o2b2o2bo2b2o12bob4o22bo50bo3bo16bo15b2o119b2o7b2o
112b2o3b2o22b3o10b2o3b2o10b3o12bobo9b2obobob2o6b2o2bo4bo4bo4bo2b2o9bob
o8bo18bo27b2o7b2o12b4o18b4obo41bo12b2o138bo11bo64b2o7b3o7bo24b2o9b2o
18b2o46bo42bobobo4bo4bo34bo5bo57b2o6bo9bo6b2o24b2o4bo4bo6bo3bo23b3o7b
2o31bo22bo100bobobo4bo13bobo4bo30b2o31b2o16bo3b2ob2o6bo54b2obo2bob2o
46b3o17b6o10b2o8bo2bo63bo4bo3b2o50bobo6bo23bo25b2o12b2o41bobo18bo4bo
16b2o20bo23bo4b2o2b2o25b2o2b2o28b3o9b2o21b2o4b3o35bo2bo19b2o24bo3bobo
13bo54b2o508b2o7b3o226bob2o13b2obo33b2o3b2o3b2o3b2o36bo4bo2b2obo764bo
2bo49b3o4bo2bo550b3o14b4o$106bo8bo35bo9bo4b4ob2ob3o9b4ob2ob3o5bobo3bo
3bo5bo4b2o3b2o9bo4bo12b3o6bo33b3o25bobo3b2o11b3ob2ob2ob3o10b2o2bo7bo3b
o5bobobo2b2o2bo6b3o4b2o5b2o4b3o13bobo2bobo2bobo23bobo5bobob3o63bobo23b
2o3b2o84bo18b2o11bo6bo2bo7bo17bobo10bobo86b2o4bo2bo2b2o7b2o2bo2bo4b2o
5bo3bo4bo7b2o2bobo3bobo49bo19bobo4bo14b2o4bobo16b2o3b2o26b5o9bo5b2o4b
3o13b2o11b3o96bobob2o7b2obobo108b2o2bo10bo53bo4bob2o7bo3bobo3bo10bo12b
o23bobo17b2o37bo13b2ob2o16b3obobo17bo20b3o11bo2bo7bobo21b2o98b4o17b4o
20b3o39b3o9b3o50b2o5bo45b2o19b2o22bo3bo3bo11b2o25b2o4bob2o56bo9bo3bo9b
o31bo10bo5bo29bo3bo31bo3bo14bo3bo50bo33bo15bo2bo4bobo13bo5b2o6b2o22bo
31bo23bo56b2o4bo2bo4bo2bo4b2o9b3o11b3o12bo3bo15bo6bo7bobo9bobo4bo29b2o
28bo7bobo49bo3b2o7b2o19b2o23bobo12bobo41b2o18bo27bo14bobo4bo11bo4bobo
3b2o2bo2bobo17bobo2bo2b2o62bo44bo39b5o4bo4bo13bobo53bobo506bo11bo184b
2o8b2o3b4obo76b5o5b5o38bo10b2o736bo2bo15b3o618b3obo10bo2b2o2bo$105bobo
6bobo6b2o8b3o6bo8bobo5bobo4b3ob2ob4o9b3ob2ob4o3b3o2bo2bo6bobo47bobo44b
2o14bo8bo31bobo10bo7b2o2bo18b7o3b7o15b2obo7bob2o23b2o4bobo5bo61b2o116b
o3bo12bob2o4bo6bo3bo2bo8bobo18b2o10b2o87b2o3bo3bo15bo3bo3b2o7bo2bo16bo
5bo15b3o8b3o40b2obob2obo2b2o10bo5bo2bo4bo11bobobo3bo2bo6b2o3bo2bo7bo
11b3o9b3o4b3o6bo110bobo15bobo12bo2bob2obo2bo38b3o47bo3b2o2b2obo19bo17b
o13b2o5bo8bo3b2ob2o3bo10bobo6bobo24b2o33b2o22bobo13b3o21bobo16b3o17bo
13bobobo7b2obo20bobo66bo8b2o20bo2bo17bo2bo74bo51bobo33b2o35b2o2b2o21b
2obob2o12bobo23bo6bo3bo64b2o3b2o41bo2bo6b6o29bo4bo25b2o5b3o16b3o5b2o
44b2o31b2o14bo9bo3b2o15bo7b2o22bob2o25b2obo50bo29b2o5bobo4bobo5b2o9bo
2bo9bo2bo12b5o3bo12b3o2b2o6bo5bo7bo5bo25b2obo2bo29b3o3bo51bo3bo8bobo
25bo17bo16bo52b3o8b3o22b2o13bo2bo4b2o9b2o4bo2bo6b2o4bo15bo4b2o17b2o36b
2o12bo5bo35bo38bo4bo5b4o4b2o8bo2bo2b2o50bo4b2o697bo9bo5b3o2bo21b3o13b
3o36b3o7b3o39bo2bo744bob2obo13bo3bo54bo5bo557bobobo9bo2b2o2bo$32bo33b
4o36bob2o2b2obo7b4obo8bo3b2o28bo4bo14bo4bo9bo7b2o24bo2bo49b3o14bo15bo
9b2o32bo46bobo3bobo19bo4b2ob2o4bo27bo2bo5b2o62bo79bobo5bobo5bobo18bo2b
obo10bo8b3o9bo2bo4bo2b2o125bo3bo15bo3bo14b2o34b2o18b2o13bo21b2o2bob2ob
ob2o18b2o4b2o11b2ob2o2b2o3b2o4b2o2b2o3b2o4bobo13bo4b3o8b3o4bobo14bo19b
2o14b2o5b2o20b2o5b2o23bo17bo12b2o2bo4bo2b2o8bo4bo24bo48bo3bo6b2o18b2o
15b2o12bo2bo13bobo7bobo14bo25b2o35b2o2b2o23b2o13b2obo21bo20bo16b2o12bo
2bo11bo2b2o15bo4bo5bo51bo5b2o7bobo37bo133bo35b2o35bo4bo22bobobo15bo22b
ob2o5b3o5bo43b2o35b2o26bo43b2o29b2o10bo10bo10bobo12b2o29bo33bo15bobo
10b2o48bobo8bo7bo8bobo51bobo35bo6bo16bo2bo11bo2bo14b2o3b3o24bo3b2o2b3o
8bo24bobo5b5o29b2o51bo14bo25bobo14b2o16b2o19bobo29bo36bo14b2o23b2o91bo
9bo3bo5b2o13b2o8b2o9bob2o20b2o12bob2o16b2o2b2o8bob2o46b4ob2o2bo2bo536b
o64bo91bobo8bo9bo22bo2bo13bo2bo36bo9bo789bo2bo14bo3bo54bo5bo551b3o4bo
2bo11bo2bo$22bo7bobo7b2o12bo11bo2bo10b3o3b3o9bo10bo2bo10bobo2b3obo4bo
15bobobobo8bo2bo16bo2bo12b2o34bo2bo19bo3b2o22b2o17b2o14b2o89bobo3bobo
20b2o9b2o27b4o69b2o78bo7bo7bo10b2o11bobo2bo11bo8bo5bo2bo8bo129b3o17b3o
51b2o18b2o5b2o2bo2b2o2b2o2bo18bo4bobo38bobobo3bo2bo6b2o3bo2bo7bo13b2o
4b3o4b3o8b2o15b2o13b2o2b2obo5b2o6b2o5b2o20b2o5b2o22bo19bo12bo2bob2obo
2bo9b6o105b2o13b2o13b3o15bo9bo14bobo24b2ob2o31b2o34b3o7b3o20b2o19b2o
21b2o6bo12b2obobobo2b2o12bobob2o2b2ob2o48bobo3bo10bo38bo48b3ob3o12bo5b
o4bo5bo12b3ob3o28b2o14bo2bo55bo2bo22bo2bobo6b2o7b2o20bo2bobo13b2o11bo
29b2o3bo27bo3b2o37b2o32b2o39bo12bo10b2o12b2o24b2o18b2ob2o18b2o75bob2o
4bobo5bobo4b2obo54bobo59b2o13b2o12b5o3bo14bo55bo3bo5bo2bo65b2o29b2o25b
3o3b2o19bo26b2o2bo4bo23bobo57bo2bo3bo2bo18bo21bo20bo4b3o28bobo8bobo2bo
4bo15b2o7bo13b2o18bob2o9bo2bobo15b2obo2b2o6b2o50bo2bo3bobob2o534b3o63b
obo24bob2o62b2o9b2o8bo2bo19b2o17b2o23bo35bo776bo2bo14bo3bo54bo5bo559b
2o20bobo$9b3o8bobobo9bo4bo6bo5bo3b4o4b3o2b3o25b2o10bo2bo19bo4bob3o2bob
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75b2obobo526bobo7b2o22b2o25b2o20bo15bo46b2o17b2obo24bo20b4o13b4o21bob
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126bobobobo64bo69bobo34b2obo2bo3bobo29b2o6b2o6b2o14bo2bo7b3o4bo40bobo
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2obo201bobobobo20b2o19bo6b3o4b2o5bo112bo17bo63bo7bo191b2o226b2o48bo19b
o15b2o4b2o4b2o274bo243bobo18bo3bo18bobo8bo36bo7bo17bo31bo40bo143bo5bo
2b2o190bo112bob2o17b2obo8bo2bo21bo2bo31bo2bo5b2o80bo2bo18b4o4b2o8bo4bo
64bobo4b2o22bo85bo2bobo4bobo2bo110bo24bo119b2o19b2o29bobo7bobobo3b2o6b
2o18b2o3bo3b2o47bobo10bo15b2o5bo2bo5bo6b2o13b2o2bo2bo20b3o90bobo74bo
100bo41bo26b2o2b2o5b2o50b3o62bo11b2o14bo13bo3bobo6b2o15bo2b3o12bob2obo
bo7b4o4b2o30bo79b2o2b2o27bo2bo46bo26bo130bo53b2o4b2ob2o58bo54bo28b2o
19bo5bo3bo330b2o40b2o32b2ob2o25b3o3b3o28b2ob2o50bobo$6bobo54bo11bo274b
2ob3ob2o17bobo2bo4b2o3bobo88bob3o2b3o3bobo4bo22b4o185bo9b3o37bo2bo26bo
2bo5bo4bo3b2ob4ob2o2b2o10bo202bobobo20bobo18b2o13bo58bo7bo51bobo15bobo
542bo15bo301b2obobo243b2o18b2ob2o18b2o45bobo5bobo15b2o31b2o38bobo21bo
120b2o3bo3b2o188bo2bo25b2o78b2o3b2o23b2o3b2o3bobo3bobo9bobo3bobo33b3o
85bobo2bobo24b2o2b2o4b5o72bo21b3o85b3o10b3o110b3o20b3o119b2o19b2o24b2o
3b2o8bo2bo4b2o2bobob2o17bo2b3o5bo47b2o9bo16bobo7bo13bobo9bo2bo4bobo25b
2o16b2o14b2o19b2o50b2o17b2o37bo101b2o8bo4bo22bo34b2o4bo44bo29bobo39bob
o9b2o12bobo19bo5bobo16b2obo13b2obobo13b2o34bo77b2obo2b2o28b2o45b3o26bo
bo13bo2b2o4b2o2bo93bo3bo2bobo121bo54bobo29bo17b2o4bo192bo100bo141bo19b
3o3b3o17bo51bo$63b3o7b3o276bobobo19bobo2bob2o7bo90bo3b2o3bobo2bo6bo22b
o183b2o2bo3bo6bo36b2o32b2o2b2ob4ob2o3bo4bo16b2o22b2o5b2o172bo20b3o25b
2o9b3o54b3o5b3o51bobob2o7b2obobo64bo5bo75bo13bo381b2o15b2o298bo2bob2o
249bo33bo51bo7bo82bo7bo22bobo317bo2bo25b2o78b2o33b2o4bo4b3o9b3o4bo122b
2o4b2o22b2obo2b2o82b3o17bo91b2o6b2o116bo18bo35bo132bo16b2o10bo21b2obo
66b2o15bo25bo8bobobo5bo21b2obo2bo14bob2o14b2o18bobo36bo13bo2bo13bo2bo
38bobo97b2o7b2ob4ob2o9bo4bo3bo2bo3b3o5bo4bo17bo3bo32b3o9b3o27bo3bo39b
2o23b2o20bo5bo19b2o18b2o49bo77b3o79bo30b2o12bo3b3o2b3o3bo92bo5bo2bo
107b3o15bo2bo46bobo26bo4bo6b3o7bo5bo2bo41bo2bo87b2o24b2o24b4o3bo11bo
81b4o3bo11bo127bo8bo22b3o6bo2b2o$4bobo58bo7bo270b2o6bobobo6b2o10b2ob2o
bobob5o5bo88b2o3bo2bobob2ob2o2b2o205bobo6bo16b2o16b2o47bo4bo16b3o32b2o
5b2o128b3ob3o19bobo13bo2bo18bo3bo23bobo4b2o5bo54bo9bo55b2o7b2o69bo3bo
75b2o13b2o697b2o2bo251b2o31b2o141bobo30bobo118bobo196bo121b3o3b3o73bo
121b3o11bo77bo17b2o89bo2b6o2bo114b2o18b2o32b3o8b2o121bo24b2o28bo82b2o
25b2o8bo2bob2o25bob2o16bo37bo39b2o12b3o13b3o24bo35bo89bo4bo11b6o3bobo
12b6o55b3o37bo3bo27bo29bobo24bo2bo5b3o17bo70bo98bo60b2o44bo2b2o4b2o2bo
7b2o48b2o34bo6b2o125bob2obo47bo20b2o9bo6bobo14bo41bobo2bobo58b3o24b2o
24b2o27bo3bo4bo4bo3b4o79bo3bo4bo4bo3b4o122bo8bo14bo17b3o$63b3o7b3o267b
o3bo3b2o3b2o3bo3bo10bobo2bo3bo2bo2bo7b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o4b2ob2o2bobo2bobobo29bo178bo7bo18bo
16bo9b3o28b3o28bobo171bo6bo3bo3bo3bo3bobo4bo3bo7bo4bo3bo5bo3b5o23bo6bo
62b3o3b3o55bo11bo69b3o76b2o13b2o702bobo248bo33bo142bo31bo2bo118bo188b
2o16b2o110bo2bo3bo2bo72bobo132bobo185b2o8b2o23bo4bo129b2o7bo11b2o122bo
bo21b2o28b2o121bo2bo25bo19bo36b2o34b3obo56bobo33bobo40bo64bo4bo4bo3bo
9bo4bo74b3o17bo3bo16bo5b2o3bobo27bo2bo25b2o96bobo96bobo43b2o19b2o21b2o
38bo48bo18b2o75bo54bo5bo13bo2bo18bo49bobo5b3o8b3o12bobobo40b2o2b2o59bo
2bo41b2o39bo3b3o3bo3bo86bo3b3o3bo3bo25b2o38b2o67bo14bo5bo5bo5b3o$2bobo
58bo11bo271bo2bo7bo2bo14bo2b2o4b2o6b3ob2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b3o5b4ob3obo3b2o25b3o176b2o8b3o
15bobo12bobo10bobo26bobo29b3o168b2o3b2o3bob3o3b3obo6bo3b3obo3bo3bo4b3o
bo3b3o3b2o25b2o7b3o22bo8bo252bo15bo703b2o200bo20bo235bobo175bobo131bo
16bo111bo2bo3bo2bo22b2o11b2o30b2o139bo88bo130b2ob4ob2o128bo7b2o25b2o
44b2o61bo31b2o38bo105bo4bo3b2o11b2o3b2o19bo2bo73bo13bob2o13b2obo15b2o
4bob2o33b2obo4b2o33bo78bo90b3o17bobo17bo4bo2bobo3bo26bo2bo71b2o12b2o
37bo70b2o6b2o18bo45bo19bo22bobo10b2o25bobo21b2o21bobo17bo2bo10b3o3b3o
55bo54bo5bo13bo2bo18b3o47bobob2o28b2obobo17bo2bo4bo2bo26bo2bo4bo2bo40b
o40bo2bo35bo12bo87bo12bo29b2o38b2o53b3o26bo5bo5bo4bo2b2o$63bo11bo266b
2o4b3o7b3o4b2o10bo2b3o2bo2bob4o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b3ob2o2bo4bobo4bo2bo25bobo187bo16b2o12b
2o11b3o26b3o203bo6bo3bo3bo3bo3bobo4bo3bo7bo4bo3bo5bo3b5o33bo21bobo7bo
30bobo1140bo22bo233bobo175b2o11bobo119bobo12bobo103b2o23b2o14b2o11b2o
30b2o126b2o101b2o12b2o116bo4bo24b2o61b3o12b3o25bobo15b6o11bo2b3o36b3o
2bo93b2o37b2o106b5o4bo11bo26b2o41bo27bo18b2obo13bob2o15b2o3b2ob2o33b2o
b2o3b2o112bo130bo5b2o3bobo20bo7bo27b2o44b2o12b2o37bo27b2o41bo7b2o64bob
o15bobo23bo10bobo26b2o8bo12b2o12b2o7b2o17bobobo54bo2bo16bo54bo5bo12bob
2obo20bo30b2o15bobobo23b3o5bobo15b3o2b6o2b3o22b3o2b6o2b3o18b3o15b3o41b
2o37b2o13bo53bo2bo28b2o13bo24bo3bo36bo3bo86bo5bo9bo$obo60b3o2b3o2b3o
267b3obo13bob3o12b2o3bobo2bo5b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b
2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o6bo12bo3b2o25bobo208b8o247b3ob3o19bobo
13bo2bo18bo3bo65bo1173bo3bo14bo3bo22b2o14bo7bo14b2o170bo176b3o13b2o
119b2o12b2o103bo2bo4b2o9b2o4bo2bo186b2o100b2o14bo146bo70b2o34b2o14bo3b
o2bo11b2o30b3o9b2o16b2o19b2o18b2o42b2o21b2o7bobo112bobobo10b3o66b3o27b
ob2o55bob2o33b2obo189b3o29b2o38bo19bo2bo33bo2bo5b3o17bo98bo2b2o4b3o30b
2o32bo41b2o15b2o21bo13b2o36b2o26bobo24b3obo15bo38bob2obo90bo2bo20b2o
30b2o17bo5b2o16bo9b2o18bo2bo4bo2bo12b2o12bo2bo4bo2bo20bo57bo55b2o55b3o
41b2o28bo38bo52bo5bo42b2ob2o$2o63bo2bobo2bo273b3o9b3o18b2obob2obob2o2b
o92bo8b2obo32b2o208bob4obo291bo20b3o56bo1177b2o5b3o16b3o5b2o17bo13b3o
5b3o13bo118bo14bo28bo187bo13b3o123bo4bo109bobo4bo11bo4bobo71b2o174b2o
56bob2o144bo69b2o28b2o21b2o3b2o16bo18bo15bo21b2o19b2o17bobo27b2ob2o3b
2o4bo2bo21bo117bo3bobob2o12bo69bo24bob2o58bobo33bobo36b2obo65b6o18b6o
33bo3bo16b3o9b3o18b2o8b2o48bo2bo36bo5bo19b2o27b3o68b2obo71b2o15b2o35bo
27b6o8bo36b2o29bo24b3o17bo39bo2bo12b3o3b3o52b3o89bo2bo3b3o15bo4bo48b2o
44bo2bo53bobo78b2o38b2o65bo38bo52bo5bo32b3o60bo2bo$65b4ob4o269b3obo13b
ob3o14bob2obo2bob2o4bo87b2obobo45b2o205b8o289bobobo20bobo54bo2bo7b2o
37b2o1126b2o10bo10bo10b2o14b3o9bo19bo9b3o12b2o100bobo7bo4bobo26bobo
200bo123b2ob4ob2o108bo23bo72bo176bo9b2o37bo5b3o2bo35b2o106b2o98bobo22b
o21bo3bo12b2ob2o3bo5bo3bo21b2o19b2o17bo9b2o18b2ob2o3b2o5bobo18b3o117bo
bo2bobo84bo25b2o61bo35bo38b3o64bo6bo16bo6bo31bo4b2o28bo30b2o47bobo37bo
5bobo16b2obo25bo75bo6b2ob2o24b2o24b2o3bo5bo15bobo32bobo31bo46b2o2b2o
22b3o44bo39bo2bo165bo5b5o15bo99b3o52bo3bo57b2o18b2o38b2o39b2o116bo5bo
96b3o$342b2o4b3o7b3o4b2o19b2o7b2o88bo2b2o45bobo200b2o12b2o284bobobobo
20b2o53bo11b2o25b2o5b2o2b2obo5b2o1129bo12bo25bo10b3o17b3o10bo11bo2bo
100bo6b2ob2o3bo26bo3bo132b2o51bo139bo4bo208b3o171bo10bobo37b2o3bo3b2o
35bo2bo12bo4b2o50b2o16b2o74bo9bo6bo9bo14bobob2o19bobo14b2o5b2ob2o12bo
5bo5bo7b2o55b2o9bo32b2obo19bo120bo4b2o84bo2bo8b2o9b2o77bo9bo52bo64bo8b
o14bo8bo29b2o5b2o2b2o96b2o23b2o14bo3bobo6b2o15bo2b3o24bo2bo72bo5bobob
2o24bo25b2o4b3o19b3o4b2o24b2ob2o27b2o109b3o50bob2obo15bo106b3o39bo3bo
2b3o18b2o151bo2bo58bo25b3o72bo103b2o57b3o22b2o38b2o$168bobo5bo3bo166bo
2bo7bo2bo121bobo51bo199bobo12bobo244b3o36bobobobo26b2o47bo11b3o24b2o5b
2o3bobo5b2o1129bo12bo79bo2bobo109bo33b3o128b2obo4bob2o46bo13bo120b2o
12b2o205bo171b5o8bo5b2o35b2obo37bobo11b2obo3bo52bo16bo24b2o48bobo7bo8b
o7bobo14bobobo9bo9bobo13bo2b3o4bo20bo5bo4b3o2bo16b2o17b2o29b3o29b3o
235bo9bo8bobo76b3o7b3o117bo6bo16bo6bo31b2o4bo3b2o95bobo12b2o9bobo12bo
3bobo23bobobo27b2o21bo2bo4bo2bo36b2obo5bo29bo5bo27bobo15bo5bo3b2o56bo
98b2o2bo16b3o42bo2bo16bo104b2o2bo39bo3bo2b2o20bo211bobo25bo2bo69bobo
102bo2bo13b3o38bob3o22b2o38b2o$167bo3bo4bo3bo4bo157bo3bo3b2o3b2o3bo3bo
117b2o52b2o198bo11bo4bo245bo38b2ob2o27b2o47bo3bo5b2obo39bo1136bo2bo6bo
2bo32b2o11b2ob2o11b2o20bo28bo7bo20bo7bo24b2o6b2o18b2o6b2o14b2o3b2o126b
o10bo45bobo12bo119bobo12bobo109b2o11b2o257bo13bo22b2o15bo38bob2o8bo8bo
51bobo12bobo24bo50bo8bo8bo8bo17bo11b2o7bo5bo10b2o44b2o15b2o19b2o30bo
14bobo12b2o47bo11bo174bo2b3o5bo9bo77b5o5b5o117b6o18b6o33bo30b2o3b2o30b
2o36bo14b2o11bo12bo4bo23bobobo49b3o2b6o2b3o33bo2b2o5bo4bo29bo30b2o15b
2o66bo97bo2b2o5bo5bo69bo93b2o9bo2b2o16b2o21bo28bo44bo10bo95bo2bo45b3o
8b2o99b2o102bobobo53bobobo29b3o$168bo7bo3bo7bo3bo151b2o6bobobo6b2o371b
2o9bo2bo3b2o244bo120b3o6b3o3bo38bo1135b2o8b2o32bobo11bo3bo11bobo15bob
2o28bobo5bobo18bobo5bobo21bo4bo2bo4bo14bo4bo2bo4bo29b2o3b2o110b2o6b2o
47b2o11bobo118bo16bo109b2o11b2o254b3o12bobo21bobo12b3o40b3o7bobo2bo3b
2o52b2o12b2o26bo25b2o31bo8bo24bo2bo12bo6bo5bo43b3o28bo2bo13bo2bo45bo
64b3o7b2o176bob4o3b2o8b2o76b2o3b2o3b2o3b2o52bo2bo156bobo32b2o19b2o14b
2o27b2o12b4o22b3o2bo52bo2bo4bo2bo35b2o8bo4bo28b2o48bo63b3o2bo46b2o2b2o
22b3o19b5o4bo5bo2bo5bo17bo2b2o22bo39bobo19b3o45b2o9b3o18bo22bo2bo25bo
44bo10bo51b2o41bo3bo45bobo94b3o115b3obo38b3o13bo2bo30bo2bo$170b2ob2obo
3bob2ob2obo3bo4bo154bobobo389bo4bo317b6o41b3o7b2o3bo3b4o1216bo7b2o5b3o
5b2o7bo16bo31bo7bo20bo7bo22bo4bo2bo4bo14bo4bo2bo4bo31b3o109b3o2b6o2b3o
44bo12b2o118b2o16b2o376bo15b2o22bo13bo44b2o7bo2bo64bo4bo30b2o8b2o15bob
o7b2o22bo6bo28bo10b2o7bo5bo75b3ob3o5b3ob3o47bo2bo63bo7b2o332b2o10bo
116bo36bo7bo48bob2o84bob2o73b2o35b2o2bo143bo2b3o8bo36b2o29bo28bo5bo2bo
5bo17b2o2bo12b2o9bo13bo23bo3bo83bo15b3o20bo5b3o63bobo8bobo48bo2bo42bob
o46b3o94bobo115b3o57b2o$176bo3bo7bo3bo7bo3bo5bobo137b2ob3ob2o387b2obob
o247b3o50bo15bo3bo2bo36bob2o3bo6b2o6bob3o36bo1178b2o7bo15bo7b2o107bo4b
o2bo4bo8bo5bo4bo2bo4bo30bo3bo108bo2bo8bo2bo58bo514bob2o35b2o5bo8b5o14b
2o33b2o63b2ob4ob2o20b2o16b2o17bo7b2o52bo5bo10bo8bo22bo2bo28bo2bo17b2o
5bo2b3o5b3o2bo5b2o41bobobo61b2o185bobo2bo152bob2o2bo4bo111b2o3bo36b2o
3b2o48bo25b2o13b2o47b2o17b2o54b2o36b2o31b2o54bo59bo12b2o36b2o26bobo37b
o5bo7b3o6b5o13bo2b3o6bo11b3o10bo21bo10bo5bo59bobo16bo18bobobo7bo62bo
10bo49bo2bo43bo33b2o99b2o8b3o156bo5bo$169bo3bo9bo4bo3bob2ob2obo3bo4bo
3bo524b2o10bo5b2o261bo10bo9b2o9bobo15b2o3b2o35bo7bo13b3o4b3o30bo1190b
3o3b3o3b3o119b2o6b2o8b2ob2o5b2o6b2o33bobo106b2obobo10bobob2o568b2o3bo
3b2o37bobo10bo15bo54b2o12b3o12b2o15bo4bo22b2o6b2o25b3o31bo6bo22bo5bo
19bo2bo18bob2obo26bob2obo16b2o27b2o42bo2bo250bo11b2o138bo2bo2b2o2b2o2b
obo110bo5bo93bo23bo13bo49bo18bo56bo68bo54bobo59b2o10bobo26b2o8bo12b2o
12b2o7b2o11b5o6b3o46b2o8b3o9bobobo9bo8b2o5b4ob2obo8bo5bo29b2o17bo12b2o
33bobob2o2bo4bo62bo10bo49b3o39b2o36bobo98bobo132b3o10bo21bo5bo$167bobo
18bo3bo7bo3bo7bo136bo3bobo3bo379bo16bo261bobo8bobo8b2o10bo17bo41bo6bo
14b2o30b2o3bobo5b2o1185bo2bo2bo3bo31b2o108bo51bo107bobobo12bobobo38bo
528bo2b3o5bo37b2o9bo17bobo13b3o20bo15b2o11bo3bo11b2o10b2o12b2o16bo7bob
o58bo8bo21bo5bo20bo21bo2bo28bo2bo91b2o253b3o7bo83b3o7b3o43bobo12bob2o
109bo2b2obo88b2obo21b3o15b3o62b3o66bo4bo53b2o55bo22b2o15b2o21bo10b2o
25bobo21b2o21bobo9bo2b2o16b3o7bo5bo28bo4b2o9b3ob3o8bo7bo3bo7bo4bo7bo5b
o7b3o15b3o2bo17bobo45bobo9bo12b2o49bo10bo90bo2bo35bo100bo53bo38bo29b2o
b2o20bo21bo5bo$166bo28bo4bo3bob2ob2o138bo3bobo3bo379bobo12bobo262bo10b
o5bo33bobo42bo2bo47b2o2b2obo5b2o1128b2o12b2o44b2o32b2o2b2obo5b2o31bo2b
ob2obo2bo100bo118bo16bo39b2o19bo508b2obo56b2o17b2o3bo8bo3bo19b2o27b2ob
2o22bobo12bobo16b2o6bo50bo8bo8bo8bo15bobo19bobobo19bo2bo28bo2bo20b2o
21b2o312b3o80b3o7b3o44bo127bo4bo88b2o23bo19bo62bo66b2ob4ob2o42b2o86bob
o15bobo18b2o38bo48bo9b2o2bo26bo5bo4b5o19bo16bobobo17bo4bo7bo3bo30b3o9b
2o17bobo47b2o6b2o10b2o2b2o49bo10bo91b2o35b2o54b2o24b2o17b2o53bo38bo29b
o9bo5bo8bo$169bo30bo3bo145bob2ob2obo381b2o12b2o242bobobo35bo5bo4bo5bob
o12bobo98b2o1136b2o12b2o78b2o3bobo5b2o18b3o3b3o3b2o2bo4bo2b2o3b3o3b3o
85bobo116bo2bo14bo2bo37bobo18b2o510bo14b2o63bob2o6bo4bo13b2obobob3o51b
o16bo16b2o7b3o46bobo7bo8bo7bobo14bobo19b2obobo17bob2obo26bob2obo19b2o
21b2o106b3o205bo262b3o5b2o264bo4bo44b2o2b2o44b2o36bo19bo15bo2bo17bo2b
2o4b2o2bo7b2o48b2o39bo5bo5b2o2bo13b2o21b3o6b3o3b3o4bob2ob4o5b2o10b3o7b
o18bo24bo55bo11b2o2bob2o46bobo8bobo82b2o24b2o74bo24bo70bo3bo36bo3bo27b
2o2bo4bo5bo32b3o$166bobo38bo3bo140bo3bo387b2o4b2o246bobobo11bobo5bo4bo
5bo4bo4bo6bo4bobo3bo3bo3bo5bo44b2o10b2o1276bo18b2o6bo5bo5bo2bob2obo2bo
5bo5bo6b2o17b2o6b2o18b2o6b2o22bobo120bo7b3o4bo41bo18bobo510b2o12b2o63b
o4bo6b2obo14bob2obobobo50b2o16b2o26bo23b3o21bo9bo6bo9bo17bo22bobo18bo
2bo28bo2bo151bo345b2o12bo2bo107bo321b2obo2b2o43bo2bo34b2o19b2o13bobobo
2b2o12bo3b3o2b3o3bo109bo2b2o12bo2b3o19bo22bo33bo4b3obo5bo3bo30bo11bo
37bo16b3o47bo10bo83b2o24b2o21b2o48b3o10bo15b3o19b2o48b2o38b2o30b3o5bo
5bo4b3o3b3o69bo$162bo3bo44bobo530b3o2b3o246bo3bo3bo3bo3bobo4bo6bo3bo6b
o3bo6bo3bo6bob3o3bo4bobo43b2o10b2o1278bo16bo50bo15bo4bo2bo4bo8bo5bo4bo
2bo4bo19bo2bo116bo3bo7bobo4bo3bo37bo19bo527bo63bo3bo8bo3b2o16bo2b3o
101b2o17bo61b2o3b2o21b2o207bo287b2o9b2o44b2o12b2o431b3o48bobo40b2o30bo
2bobobo13bo2b2o4b2o2bo100b3o24b2o35bo16bo3bo23bo5bob3o4bo7b2o24bobo3b
3o3bobo36bo66bo10bo131bo13b2o35bo4b2o7bo10b2o4bo18bo7bo5b2o35b2o38b2o
30b3o28b3o10bo51bobo$123bobo5bo3bo19bo3bo584b2o4b2o247bobo4b3obo6bo3bo
6bo3bo6bo3bo6bo4bobo3bo3bo3bo5bo1350b2obo50bob2o12bo4bo2bo4bo6b2ob2o3b
o4bo2bo4bo20bobo116bo3bo7bobo4bo3bo57bo592b3o13bobo16b2o3bo54bo4bo40b
2o15bobo34b2o25bo2bo3bo14b2o226b2o273b2o9b2o543bo42bo33bobo135b2o56bo
17bobo39bo4b3o2bo23bob4o3b4obo249bo12bo38bobo7bo10bobo25bo3b3o6bo105b
2o2bo6b3o10bo20bo51bobo10bo$122bo3bo4bo3bo4bo9bo4bo3bob2ob2o47bo526b2o
12b2o242bo3bo3bo3bo3bobo4bo6bo4bo4bo5bo4bo5bobo12bobo62bo2bo1273bo13bo
2b3o46b3o2bo12bo4bo2bo4bo8bo5bo4bo2bo4bo21bobo119bo14bo41bo539b2o17bo
71bo18b3o22b2ob2o26b2ob4ob2o55b2o35b2o26b6o15bobo218b2o5bobo813b2o53b
3o35b2o134b3o56bo46b3o19b2o20b2obo13bob2o50b2o190bo3bo3b3o3bo41bo8b2o
12bo21bo3bo2b5o2bo107bo24bo5bo5bo8bo52bo12bo$123bo7bo3bo7bo3bo7bo3bo7b
o45b2o524bobo12bobo241bobobo11bobo5bo4bo5bo36bobo45b2o14bo6bo1268bo16b
2o3bo14b2o12b2o14bo3b2o15b2o6b2o18b2o6b2o25bo116bo2bo14bo2bo38b3o17bo
520bo17b3o69b2o17bo11b2o11bo3bo11b2o15bo4bo86b3o12b3o32b2o7bo218bo8bo
777b2o34b2o8b2o43bo172bob2o112b3o32b2ob2o2b2o3b2o2b2ob2o50b2o187b4o3bo
4bo4bo3bo36b2o22b2o17b4o3bo2b5o2bo3bo103b2ob2o20bo5bo5bo29b2ob2o40bo
11b2o$125b2ob2obo3bob2ob2obo3bob2ob2obo3bo4bo3bo45bo524bo16bo241bobobo
32bo5bo10bo17bo40b3o4b3o13bo7bo1260b2o3bobo5b2o11bob2o14bobo10bobo14b
2obo199bo16bo39b3o16b3o517b3o21bo99b2o12b3o12b2o145b2o11bo7b2o226b2o
776b2o44b2o215bobo42bo59bo49bo13bo247bo11bo3b4o81bo6bo4bo3b4o29b2o40b
2o58bo5bo4b3o3b3o7bo12bo39b2o10bo2bo$131bo3bo7bo3bo7bo3bo5bobo45bo2bo
521b2o16b2o261bo10b2o8bobo8bobo15b2o3b2o39b3obo6b2o6bo3b2obo1229b2o30b
2o2b2obo5b2o11bo2bo16bo10bo16bo2bo197bobobo12bobobo57b2o517bo22b2o4bob
o268b2o8b3o1261b3o13bo2bo41bo59bo16bo2bo29bobo4bo4bobo261bo100bo34b2o
40b2o85bo7bo2b2o53b2o$124bo3bo9bo4bo3bo4bo63bo4bo796bobo9b2o9bo10bo15b
o3bo2bo39b4o3bo3b2o7b3o1232bobo35b2o20b2ob3o6b2o5b2o8b2o5b2o6b3ob2o38b
o159b2obobo10bobob2o58bobo544b2o167b2o60b2o18b2o28bo225bo844b2o208b2o
42bo59bo15bob2obo29b2o3bobo3b2o354b2o43bo40bo61b3o10bo11bo8b3o$122bobo
18bo3bo63b3ob2ob4o797bo49b6o42bo3b3o6b3o1226b2o7b3o7b2o52bobobo5b2o22b
2o5bobobo20b2o6b2o8b2ob2o5b2o6b2o145bo2bo8bo2bo609bo167b2o2b2o57bo18bo
254bobob2o840bo185b2o4bo2bo135bo2bo36bo254b2o8b2o53b2o34b2obo4bob2o
129bo24bo20b3o$211b4ob2ob3o898bob2o5bo3bo1218b2o5b2o6bo3bo6b2o5b2o45bo
3bo2bo30bo2bo3bo18bo4bo2bo4bo8bo5bo4bo2bo4bo143b3o2b6o2b3o781bobo53b3o
20b3o251bobobobo840b3o181bo2bo61b3o3b3o51b3o3b3o12bo2bo291bo2b6o2bo53b
2o34bo10bo129bo24bo7b3o3b3o3bo2b2o$124bo86bo4bo854b2o46b3o11bo1219bo
13b2ob2o13bo47b2ob4o30b4ob2o19bo4bo2bo4bo14bo4bo2bo4bo146b2o6b2o72bo5b
2o521b3o182bo53bo24bo248b2obobo3bo2bo839bo181bobobo140bob2obo291b2o6b
2o91b2o6b2o130bo49bo41b2o$124b2o90bo2bo851b2o47b2o11bo1219bobo27bobo
49bo38bo21bo4bo2bo4bo14bo4bo2bo4bo145bo10bo39bo31b3ob2ob2o520bo184b2o
326bo2bo2b2ob4o1022bo2bo64bo59bo16bo2bo289b3o10b3o85b3o2b6o2b3o50bo12b
o100bo8b2ob2o41b2o$125bo92bo901b2o7bo2bo1221b2o27b2o50bobo34bobo23b2o
6b2o18b2o6b2o147b2obo4bob2o31b2o38b2o4bo11bo511bo513b2o4bo1030bo54bo2b
o5bo50bo2bo5bo309bo2bobo4bobo2bo85bo2bo8bo2bo48b2ob2o8b2ob2o57b3o3b3o
32bo$124bo2bo90b2o912bo1225b3o3b3o5b3o3b3o55b2o34b2o44bo169b2o35b2ob2o
b4o32bo11bo4b2o523b2o505bobo1025bobo54bob2obo4bo49bob2obo4bo310b2o4b2o
4b2o87b2o10b2o43b3o3b2o14b2o3b3o92bo3bobo$127bo4bo86bo902bo1235bobo3bo
bo5bobo3bobo128bo6b2ob2o3bo190bo11bo4b2o43b2ob2ob4o515b2o5bobo505b2o
1032bo2bo47bo2bo56bo2bo475b2o24b2o48b2o6bo43bo$122b3ob2ob4o989bo7bobo
1225b3o3b3o5b3o3b3o127bobo7bo4bobo188b2o4bo11bo45b2o522bo8bo125b2o125b
2o1283b3o2b3o45bo2bo56bo2bo482bo12bo54bo2bo5bo39bo2bo$122b4ob2ob3o63bo
3bo18bobo900bo8bo1377bo14bo188b4ob2ob2o63bo524b2o124b2o125b2o1284b2o2b
2o45bob2obo5b2o47bob2obo5b2o542bobobo4bo23bo14bobobo$122bo4bo63bo4bo3b
o4bo9bo3bo2500b2o688b2o8b2o21b3o111b3o1291bo2bo47bo2bo4bo4bo46bo2bo4bo
4bo541bo2bo28bo14bo2bo$127bo2bo45bobo5bo3bo7bo3bo7bo3bo2500bo584bo111b
o2b6o2bo20bo3bo109bo3bo1288bobo2bobo53bo4bo54bo4bo545bo26bobo14b2o$
129bo45bo3bo4bo3bob2ob2obo3bob2ob2obo3bob2ob2o2135b2o27b2o297b2o6b2o
605bobob2o108b2o6b2o21b2ob2o41b2o23b2o41b2ob2o1288b2o4b2o53bo4bo54bo4b
o542bobo20b2o$129b2o45bo7bo3bo7bo3bo7bo3bo7bo2132bobo27bobo297bo7bo
605bobobobo104b3o10b3o42b2o19b4o21b4o19b2o1374bo2bo56bo2bo550bo2bo11bo
2bo$130bo47b2ob2obo3bo4bo9bo4bo3bo4bo3bo2131bo13b2ob2o13bo297bob2ob3o
3b2o598b2obobo3bo2bo101bo2bobo4bobo2bo18b2ob2o17b2ob2o18b2ob2o19b2ob2o
18b2ob2o17b2ob2o1348bobo2bobo52bobo2bobo546bo2b2o2bo9bobobo$184bo3bo
19bo3bo5bobo2131b2o5b2o6bo3bo6b2o5b2o297bobobo5bo599bo2bo2b2ob4o102b2o
4b2o4b2o21bo19b4o21b2o21b2o21b4o19bo1350b2o4b2o52b2o4b2o546bo2b2o2bo
10bob3o$130bobo44bo3bo2177b2o7b3o7b2o307bo8bo599b2o4bo149b2o11b2o69b2o
11b2o1974b4o14b3o$132bo3bo38bobo2192bobo322b2o605bobo147bobo93bobo
1972bobo2bobo$139bo3bo30bo2196b2o930b2o147bo97bo1972b2o4b2o18bo2bo$
133b2ob2obo3bo4bo28bo2517b2o88bo651bo7bo111bo7bo1981bo2b2o2bo$131bo7bo
3bo7bo3bo18bobo2502bo10bo3bobo80b2o657bo2bo3bo2bo45bobo13bobo45bo2bo3b
o2bo1980bo2b2o2bo$130bo3bo4bo3bob2ob2obo3bo4bo9bo3bo2504b3o7b3o3bo16bo
63b2ob2ob4o654bobo49b2o15b2o49bobo1986b4o$131bobo5bo3bo7bo3bo7bo3bo
2514bo6bobo4b3o20b2o45bo11bo4b2o655bobo50bo15bo50bobo1984bobo2bobo$
146bo4bo3bob2ob2obo3bob2ob2o2507bobo14bo13b4ob2ob2o43b2o4bo11bo656bobo
117bobo1984b2o4b2o$151bo3bo7bo3bo7bo2505b2o30b2o4bo11bo32b4ob2ob2o662b
o2bo3bo2bo109bo2bo3bo2bo$158bo4bo3bo4bo3bo2537bo11bo4b2o38b2o664b3o3b
3o111b3o3b3o$163bo3bo5bobo2505b2o41b2ob2ob3o31bo$2681bo8bo34b2o5bo$
2683bo5bobobo769b3o71b3o$2682b2o3b3ob2obo768bo75bo$2686bo7bo43bobo723b
o73bo$2686b2o6b2o44b2o740bo37bo$2740b3o16b3o718b2o39b2o$2740bo17b3o
720b2o37b2o$2760bo$2676b2o10b2o6b2o42bo696b2o125b2o$2675bob3o9bo7bo42b
o19bo676b2o125b2o$2675bobo2bo8bob2ob3o3b2o37bobo18bo$2672b2obobo12bobo
bo5bo38b2o18bobo$2672bo2bobo3b3o9bo8bo37bo19b2o713b2o49b2o$2674b2obob
2obo2bo15b2o57bo714bobo47bobo$2677b2o4bo2bo788bo51bo$2678bo6b2o14b2o
40bo693b2o125b2o$2675b2ob2o4b3o9bo3bobo40b2o12bo679b2o30bobo59bobo30b
2o$2676bobo5b3o8b3o3bo40bobo11b2o685b3o23b2o61b2o23b3o$2676bobo5b3o8bo
bo4b3o38bo12bobo683bo3bo23bo61bo23bo3bo$2677bo6b3o17bo38bo13bo684b2ob
2o109b2ob2o$2685b2o70bo$2686bo56bo698b2ob2o109b2ob2o$2684bobobo10b3o
39b3o13bo686bo113bo$2683bobob2o53b2o13b3o$2683bobo10b2o45bobo11b2o727b
3o25b3o$2684b2o9bobo57bobo728bo29bo$2695b3o739bo7bo41bo27bo41bo7bo$
2689b2o745bo2bo3bo2bo12bo83bo12bo2bo3bo2bo$2690bobo747bobo14b2o85b2o
14bobo$2687bo5bo2b2o742bobo15b2o83b2o15bobo$2687b2o3bo3b2o742bobo117bo
bo$3436bo2bo3bo2bo109bo2bo3bo2bo$2688bobo746b3o3b3o111b3o3b3o$2689bo2$
3452bo2bo42b2o3b2o42bo2bo$3456bo19b4o18bobobobo18b4o19bo$3452bo3bo18bo
3bo18bo5bo18bo3bo18bo3bo$3453b4o22bo43bo22b4o$3475bo2bo45bo2bo3$3437b
2o125b2o$3437b2o125b2o!
Edited next day: It is a collection that took me too long to create (days). I ignored most of the bad oscillators.

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Entity Valkyrie 2
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » March 17th, 2020, 6:31 am

A for awesome wrote:
November 12th, 2019, 11:14 pm
wildmyron wrote:
November 12th, 2019, 10:37 pm
Here is a p5 version of the edge-shooting reflector (does that reaction have a name?) Repeat time: 40gen. Brought to you by the "Bigger is Better Oscillator Factory". (Truth be told I did cut the rotor down slightly from the first solution, and the stator is not excessively big, but both can probably be reduced.)

Code: Select all

rle
Nice! A couple small stator reductions:

Code: Select all

x = 64, y = 29, rule = B3/S23
37bo2b2o5bo$37b4obo3bobo$2b2o31b2o5bo4bo$3bo14b2o6bo3bo3bo3b2obo$2bo
15bo5b3o2bobobob3obob2o$2b2o15b3obo3b3obobo3bobobo$2o2bo16bobob2o3bobo
b3ob4o5b2o$bobo2b2o3bo11b3obo2bobo3bo5bo4b2o8b2o$o2b2o6b3o10bobob5o6b
2o15bo2bo$b2o3bobo4b3ob2ob2obob2o2b2obo4b4o16b2o$3b2obo2b2o4b2obobo2bo
bo3b2o2bo6bo2bo3b3o$3bobobobobo2b2o7bobo4b2obo4bo2bo7bo$4b2obobobo5b5o
bob2obobo3bo2bob2o7bo11b2o$6bob2o2b5o5bobo2b2obob2o3bobo20bo$6bo3bobo
5b2o2bo2bo5bo2b3o2bo21b3o$5b2o3b2o3b3obo3b2o8bo2bobo24bo$15bo16b2o3bo
3$46b2obob2o$37b3o4b3obobob3o$39bo3bo11bo$38bo4bob3obob4o$44bo3b3o$46b
obobob2obo$45b2obobobob2o$46bobo2bo$46bo2b2o$45b2o!
Can someone add this list of hasslers onto the wiki?

Code: Select all

x = 191, y = 233, rule = B3/S23
85bo$83b5o$82bo5bo36bo$5bo12bo18bo27bo17b3o2bo15bo18b5o$3b5o8b5o14b5o
23b5o18bob2o12b5o15bo5bo$2bo5bo6bo5bo12bo5bo21bo5bo16b2o3bo10bo5bo15b
3o2bo$2bo2b3o8b3o2bo12bo2b3o10b2o10bo2b3o9bo2bo3bo2bobo11bo2b3o19bob2o
$b2obo14bob2o10b2obo13bo10b2obo11bo8b3ob2o9b2obo21b2o3bo$o3b2o12b2o3b
o8bo3b2o10bobo9bo3b2o10bo6bo15bo3b2o12bo2bo3bo2bobo$bobo2bo3bo2bo3bo2b
obo10bobo2bo3bo2bo2b2o11bobo2bo3bo2bo2bo8b3ob2o9bobo2bo3bo2bo3bo8b3ob
2o$2ob3o12b3ob2o8b2ob3o8bo13b2ob3o8bo2bo2bo3bo2bobo9b2ob3o8bo2bo6bo$7b
o8bo22bo6bo20bo6bo10b2o3bo15bo6bo2bo8b3ob2o$2ob3o12b3ob2o8b2ob3o8bo13b
2ob3o8bo11bob2o9b2ob3o8bo3bo2bo3bo2bobo$bobo2bo3bo2bo3bo2bobo10bobo2b
o3bo2bo15bobo2bo3bo2bo9b3o2bo11bobo2bo3bo2bo12b2o3bo$o3b2o12b2o3bo8bo
3b2o22bo3b2o16bo5bo10bo3b2o21bob2o$b2obo14bob2o10b2obo24b2obo18b5o12b
2obo19b3o2bo$2bo2b3o8b3o2bo12bo2b3o22bo2b3o17bo15bo2b3o15bo5bo$2bo5bo
6bo5bo12bo5bo21bo5bo32bo5bo15b5o$3b5o8b5o14b5o23b5o34b5o18bo$5bo12bo18b
o27bo38bo13$185bo$48b2o89bo43b5o$5bo30bo11bo17bo26bo18bo24b5o16bo23bo
5bo$3b5o26b5o10bo14b5o22b5o14b5o21bo5bo13b5o22b3o2bo$2bo5bo24bo5bo6b4o
13bo5bo20bo5bo12bo5bo21b3o2bo12bo5bo24bob2o$2bo2b3o13b2o10bo2b3o7bo16b
o2b3o22b3o2bo12bo2b3o25bob2o11bo2b3o15bo2bo5b2o3bo$b2obo16bo10b2obo13b
3o10b2obo28bob2o10b2obo18bo2bo5b2o3bo9b2obo17bo4bo3bo2bobo$o3b2o5bo2b
o4bobo9bo3b2o5bo2bo3bo2bo8bo3b2o5bo2bo8bo2bo5b2o3bo8bo3b2o5bo2bo7bo4b
o3bo2bobo9bo3b2o5bo2bo6bo10b3ob2o$bobo2bo3bo4bo3b2o11bobo2bo3bo4bo4b2o
9bobo2bo3bo4bo6bo4bo3bo2bobo10bobo2bo3bo4bo5bo10b3ob2o9bobo2bo3bo4bo5b
o8bo$2ob3o10bo14b2ob3o10bo13b2ob3o10bo4bo10b3ob2o8b2ob3o10bo4bo8bo15b
2ob3o10bo4bo10b3ob2o$7bo8bo21bo8bo20bo8bo4bo8bo22bo8bo4bo10b3ob2o15bo
8bo5bo4bo3bo2bobo$2ob3o10bo14b2ob3o10bo13b2ob3o10bo4bo10b3ob2o8b2ob3o
10bo5bo4bo3bo2bobo9b2ob3o10bo6bo2bo5b2o3bo$bobo2bo3bo4bo16bobo2bo3bo4b
o15bobo2bo3bo4bo6bo4bo3bo2bobo10bobo2bo3bo4bo7bo2bo5b2o3bo9bobo2bo3bo
4bo17bob2o$o3b2o5bo2bo16bo3b2o5bo2bo15bo3b2o5bo2bo8bo2bo5b2o3bo8bo3b2o
5bo2bo18bob2o9bo3b2o5bo2bo15b3o2bo$b2obo27b2obo26b2obo28bob2o10b2obo25b
3o2bo11b2obo24bo5bo$2bo2b3o25bo2b3o24bo2b3o22b3o2bo12bo2b3o21bo5bo12b
o2b3o22b5o$2bo5bo24bo5bo23bo5bo20bo5bo12bo5bo21b5o13bo5bo23bo$3b5o26b
5o25b5o22b5o14b5o24bo16b5o$5bo30bo29bo26bo18bo45bo14$105b2o$5bo39bo47b
o11bo$3b5o35b5o43b5o10bo$2bo5bo33bo5bo41bo5bo6b4o$2bo2b3o13b2o19bo2b3o
13b2o27bo2b3o7bo$b2obo16bo19b2obo16bo27b2obo13b3o$o3b2o5bo2bo4bobo18b
o3b2o5bo2bo4bobo26bo3b2o5bo2bo3bo2bo$bobo2bo3bo4bo3b2o20bobo2bo3bo4bo
3b2o28bobo2bo3bo4bo4b2o$2ob3o10bo23b2ob3o10bo31b2ob3o10bo$7bo8bo30bo8b
o38bo8bo$2ob3o10bo3b2o6bo11b2ob3o10bo31b2ob3o10bo$bobo2bo3bo4bo3bo2bo
3b3o12bobo2bo3bo4bo33bobo2bo3bo4bo$o3b2o5bo2bo4bo2bo2bo14bo3b2o5bo2bo
4b2o27bo3b2o5bo2bo4b2o5b2o$b2obo15b2o3b2o14b2obo13bo2bo2b2o23b2obo14b
obo4bobo$2bo2b3o34bo2b3o10bo2bo2b2o24bo2b3o12b2o6bo$2bo5bo33bo5bo10b2o
29bo5bo18b2ob2obo$3b5o14b3o18b5o26bo16b5o22bob2o$5bo15bo3bo19bo26b5o16b
o17b3o4bo$20bo5bo32b2o10bo5bo32bo3bo2b2o$54b2o2bo2bo10b3o2bo31bo5bo$54b
2o2bo2bo13bob2o$20bo5bo32b2o4bo2bo5b2o3bo$21bo3bo38bo4bo3bo2bobo30bo5b
o$63bo10b3ob2o30bo3bo$17bo11bo33bo8bo$16bobo4bo4bobo32bo10b3ob2o26bo11b
o$16bobo2bo3bo2bobo28b2o3bo4bo3bo2bobo26bobo4bo4bobo$15b2obobobobobob
ob2o26bobo4bo2bo5b2o3bo25bobo2bo3bo2bobo$16bo2b2obobob2o2bo27bo16bob2o
25b2obobobobobobob2o$16bo4b2ob2o4bo26b2o13b3o2bo27bo2b2obobob2o2bo$17b
3o7b3o41bo5bo27bo4b2ob2o4bo$19bob2ob2obo44b5o29b3o7b3o$20bobobobo47bo
33bob2ob2obo$109bobobobo30$5bo43bo$3b5o39b5o44bo43bo$2bo5bo37bo5bo41b
5o39b5o$2bo2b3o10b2o26bo2b3o13b2o26bo5bo37bo5bo$b2obo13bo26b2obo16bo27b
o2b3o10b2o26bo2b3o13b2o$o3b2o10bobo25bo3b2o5bo2bo4bobo26b2obo13bo26b2o
bo16bo$bobo2bo3bo2bo2b2o27bobo2bo3bo4bo3b2o26bo3b2o10bobo25bo3b2o5bo2b
o4bobo$2ob3o8bo29b2ob3o10bo31bobo2bo3bo2bo2b2o27bobo2bo3bo4bo3b2o$7bo
6bo15bo20bo8bo16bo13b2ob3o8bo29b2ob3o10bo$2ob3o8bo13b5o11b2ob3o10bo14b
5o18bo6bo18bo17bo8bo19bo$bobo2bo3bo2bo13bo5bo11bobo2bo3bo4bo14bo5bo10b
2ob3o8bo16b5o8b2ob3o10bo17b5o$o3b2o10b2o10b3o2bo10bo3b2o5bo2bo4b2o10b
3o2bo11bobo2bo3bo2bo16bo5bo8bobo2bo3bo4bo17bo5bo$b2obo11b2o13bob2o10b
2obo14b2o13bob2o9bo3b2o10b2o12b4o2bo7bo3b2o5bo2bo4b2o13b3o2bo$2bo2b3o
21b3o3bo10bo2b3o25b2o3bo9b2obo11b2o13bo2bob2o7b2obo14b2o16bob2o$2bo5b
o7b2o10bo3bobo11bo5bo10b2o11bo2bobo11bo2b3o23b4o3bo7bo2b3o27b3o3bo$3b
5o8b2o4bo4bo2b3ob2o11b5o11b2o2bobo5b2ob2ob2o10bo5bo7b2o12b2o3bobo8bo5b
o10b2o4b2o7bo3bobo$5bo16bo4bo21bo20bo4bo18b5o8b2o6bo4bo2bob2ob2o8b5o11b
2o2bo4bo4bo2b3ob2o$22bo4bo2b3ob2o33bo5b2ob2ob2o13bo17b2o4bo2bo16bo22b
o4bo$18b2o8bo3bobo30bo10bo2bobo33bo4bo2bob2ob2o33bo4bo2b3ob2o$17bobo9b
3o3bo28bob2o9b2o3bo26b2o10b2o3bobo27bo3b2o7bo3bobo$17bo13bob2o29bo13b
ob2o26bobo11b4o3bo25bob2o11b3o3bo$16b2o10b3o2bo29b2o10b3o2bo27bo13bo2b
ob2o26bo16bob2o$27bo5bo40bo5bo26b2o12b4o2bo26b2o13b3o2bo$28b5o42b5o41b
o5bo40bo5bo$30bo46bo44b5o42b5o$124bo46bo22$32bobobobo$31bob2ob2obo$29b
3o7b3o$28bo4b2ob2o4bo$28bo2b2obobob2o2bo$27b2obobobobobobob2o$28bobo2b
o3bo2bobo$28bobo4bo4bobo$29bo11bo2$33bo3bo$32bo5bo$22bo$22b3o$25bo6bo
5bo$5bo18b2o7bo3bo$3b5o26b3o$2bo5bo$2bo2b3o13b2o5bo$b2obo16bo5b3o7b2o
$o3b2o5bo2bo4bobo5bo9bo$bobo2bo3bo4bo3b2o17b3o$2ob3o10bo12bobo8bo4b2o
$7bo8bo13b2o13bo$2ob3o10bo13bo12bobo$bobo2bo3bo4bo27b2o$o3b2o5bo2bo$b
2obo17b2o14b2o13bo$2bo2b3o15b2o14b2o10b5o$2bo5bo10bo2bo13bo2bo10bo5bo
$3b5o10b2o14b2o15b3o2bo$5bo13b2o14b2o17bob2o$44bo2bo5b2o3bo$14b2o27bo
4bo3bo2bobo$13bobo12bo13bo10b3ob2o$13bo13b2o13bo8bo$12b2o4bo8bobo12bo
10b3ob2o$18b3o17b2o3bo4bo3bo2bobo$21bo9bo5bobo4bo2bo5b2o3bo$20b2o7b3o
5bo16bob2o$30bo5b2o13b3o2bo$50bo5bo$22b3o26b5o$21bo3bo7b2o18bo$20bo5b
o6bo$34b3o$36bo$20bo5bo$21bo3bo2$17bo11bo$16bobo4bo4bobo$16bobo2bo3bo
2bobo$15b2obobobobobobob2o$16bo2b2obobob2o2bo$16bo4b2ob2o4bo$17b3o7b3o
$19bob2ob2obo$20bobobobo!

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

Please click here for my own pages.

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Re: Oscillator Discussion Thread

Post by Ian07 » March 17th, 2020, 12:19 pm

Entity Valkyrie 2 wrote:
March 17th, 2020, 6:31 am
Can someone add this list of hasslers onto the wiki?

Code: Select all

RLE
Added.

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Re: Oscillator Discussion Thread

Post by A for awesome » March 18th, 2020, 1:38 pm

Four p24 shuttle engines rephase an octagon II:

Code: Select all

x = 44, y = 44, rule = B3/S23
25b2o$25b2o4$22bo$21b2o4bo$20bo5bobo3b2o$19b2o5bob2o2b2o$27b2o$7b2o$7b
2o5b2o$14b2o5b2o$20bo2bo$8bo12b3o7b2o$7b3o12bo8b2o$6bo2bo$2o5b2o$2o$20b
o2bo11bo$13b2o4bob2obo5bo4b2o$5b2o5bob2o4bo2bo5bobo5bo$6bo5bobo5bo2bo
4b2obo5b2o$7b2o4bo5bob2obo4b2o$8bo11bo2bo$42b2o$35b2o5b2o$34bo2bo$11b
2o8bo12b3o$11b2o7b3o12bo$20bo2bo$21b2o5b2o$28b2o5b2o$35b2o$15b2o$10b2o
2b2obo5b2o$10b2o3bobo5bo$16bo4b2o$21bo4$17b2o$17b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Oscillator Discussion Thread

Post by cvojan » March 18th, 2020, 8:05 pm

Statorless P4:

Code: Select all

x = 20, y = 16, rule = B3/S23
5bo7bo$5bobo5bobo$3bo5bobo$9bo6b2o$2b2o$16bo$2bobo11bo$3obo9bo3b2o$3ob
o9bo3b2o$2bobo11bo$16bo$2b2o$9bo6b2o$3bo5bobo$5bobo5bobo$5bo7bo!
I like how the population remains constant
conduit rediscoverer

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Re: Oscillator Discussion Thread

Post by JP21 » March 18th, 2020, 8:07 pm

cvojan wrote:
March 18th, 2020, 8:05 pm
Statorless P4:

Code: Select all

x = 20, y = 16, rule = B3/S23
5bo7bo$5bobo5bobo$3bo5bobo$9bo6b2o$2b2o$16bo$2bobo11bo$3obo9bo3b2o$3ob
o9bo3b2o$2bobo11bo$16bo$2b2o$9bo6b2o$3bo5bobo$5bobo5bobo$5bo7bo!
I like how the population remains constant
But it's not strictly volatile. Still cool though.

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Re: Oscillator Discussion Thread

Post by A for awesome » March 18th, 2020, 8:12 pm

cvojan wrote:
March 18th, 2020, 8:05 pm
Statorless P4:

Code: Select all

x = 20, y = 16, rule = B3/S23
5bo7bo$5bobo5bobo$3bo5bobo$9bo6b2o$2b2o$16bo$2bobo11bo$3obo9bo3b2o$3ob
o9bo3b2o$2bobo11bo$16bo$2b2o$9bo6b2o$3bo5bobo$5bobo5bobo$5bo7bo!
I like how the population remains constant
I like it! Though I don't have the patience to construct it, this should lead to a statorless termination for flutter wicks, albeit at p4 — a statorless p2 (phoenix) termination isn't allowed due to constraints arising from graph theory.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Oscillator Discussion Thread

Post by JP21 » March 23rd, 2020, 1:53 am

Somehow, this is the first p4 I found with WLS(K)

Code: Select all

#P 0 0
#R S23/B3
...**.**..
....*.*.*.
..*.*.*.*.
.***.***..
.**.......
.*..*.****
....*....*
..*.*.*.*.
...**.**..
..........

Code: Select all

x = 9, y = 9, rule = B3/S23
2b2ob2o$3bobobo$bobobobo$3ob3o$2o$o2bob4o$3bo4bo$bobobobo$2b2ob2o!
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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Re: Oscillator Discussion Thread

Post by A for awesome » April 16th, 2020, 10:43 pm

Crossposting a weird new p9:

Code: Select all

x = 89, y = 33, rule = B3/S23
12b2o31b2o33b2o$13bo32bo34bo$13bob2o29bob2o31bob2o$8b2o2b2obobo23b2o2b
2obobo25b2o2b2obobo$8b2o2bo2bobo23b2o2bo2bobo25b2o2bo2bobo$14b2obob2o
26b2obob2o28b2obob2o$12bo4b2obo24bo4b2obo26bo4b2obo$15b2o31b2o33b2o$16b
ob2o29bob2o31bob2o$14bobob2o27bobob2o29bobob2o$14b2o31b2o33b2o$6b2o31b
2o31b2o$5bo2bo5b4o20bo2bo5b4o20bo2bo5b4o$7b2o4bo3bo22b2o4bo3bo22b2o4b
o3bo$9bo6bo25bo6bo25bo6bo$8b2o7b3o21b2o7b3o21b2o7b3o$bo6bo3bo6bo14bo6b
o3bo6bo14bo6bo3bo6bo$b3o7b2o21b3o7b2o21b3o7b2o$4bo6bo25bo6bo25bo6bo$3b
o3bo4b2o22bo3bo4b2o22bo3bo4b2o$3b4o5bo2bo20b4o5bo2bo20b4o5bo2bo$13b2o
31b2o31b2o$5b2o29b2o31b2o$b2obobo25b2obobo27b2obobo$b2obo27b2obo29b2o
bo$4b2o29b2o31b2o$ob2o4bo22bob2o4bo24bob2o4bo$2obob2o24b2obob2o26b2ob
ob2o$3bobo2bo2b2o21bobo2bo2b2o23bobo2bo2b2o$3bobob2o2b2o21bobob2o2b2o
23bobob2o2b2o$4b2obo27b2obo29b2obo$7bo30bo32bo$7b2o29b2o31b2o!
EDIT: Wick stabilization:

Code: Select all

x = 51, y = 63, rule = B3/S23
42b2o$43bo$43bob2o$38b2o2b2obobo$38b2o2bo2bobo$44b2obob2o$42bo4b2obo$
45b2o$46bob2o$44bobob2o$44b2o$36b2o$35bo2bo5b4o$37b2o4bo3bo$39bo6bo$38b
2o7b3o$31bo6bo3bo6bo$30bo10b2o$30bobo8bo$31b2ob2o6b2o$33b2o7bo2bo$26b
2o15b2o$25bo2bo7b2o$27b2o6b2ob2o$29bo8bobo$28b2o10bo$21bo6bo3bo6bo$20b
o10b2o$20bobo8bo$21b2ob2o6b2o$23b2o7bo2bo$16b2o15b2o$15bo2bo7b2o$17b2o
6b2ob2o$19bo8bobo$18b2o10bo$11bo6bo3bo6bo$10bo10b2o$10bobo8bo$11b2ob2o
6b2o$13b2o7bo2bo$6b2o15b2o$5bo2bo7b2o$7b2o6b2ob2o$9bo8bobo$8b2o10bo$b
o6bo3bo6bo$b3o7b2o$4bo6bo$3bo3bo4b2o$3b4o5bo2bo$13b2o$5b2o$b2obobo$b2o
bo$4b2o$ob2o4bo$2obob2o$3bobo2bo2b2o$3bobob2o2b2o$4b2obo$7bo$7b2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Oscillator Discussion Thread

Post by A for awesome » April 24th, 2020, 1:04 pm

Stabilization of a p10 wick from jslife:

Code: Select all

x = 80, y = 77, rule = B3/S23
65bo9b2o$64bobob2o5bo$65b2obobo5bo$70bo4b2o$69b2ob2o$67b2obobob5o$66b
obobo8bo$60b2o3b2ob2ob4o3b2o$60bobo2bo3bo5bo$61b2o2bo7b2o$58bo6bo7b2o
$57bobo5bo3bo5bo$57bo2bo4b2ob2ob4o3b2o$61bo4bobobo8bo$55bo4bo6b2obobo
b5o$54bo14b2ob2o$55bo2bo11bo4b2o$56bobo6b2obobo5bo$52bo4bo6bobob2o5bo
$51bobo11bo9b2o$51bo2bo$55bo$49bo4bo$48bo$49bo2bo$50bobo$46bo4bo$45bo
bo$45bo2bo$49bo$43bo4bo$42bo$43bo2bo$44bobo$40bo4bo$39bobo$39bo2bo$43b
o$37bo4bo$36bo$37bo2bo$38bobo$34bo4bo$33bobo$33bo2bo$37bo$31bo4bo$30b
o$31bo2bo$32bobo$28bo4bo$27bobo$27bo2bo$31bo$25bo4bo$24bo$25bo2bo$3b2o
9bo11bobo$4bo5b2obobo6bo4bo$3bo5bobob2o6bobo$3b2o4bo11bo2bo$6b2ob2o14b
o$b5obobob2o6bo4bo$o8bobobo4bo$2o3b4ob2ob2o4bo2bo$4bo5bo3bo5bobo$5b2o
7bo6bo$5b2o7bo2b2o$4bo5bo3bo2bobo$2o3b4ob2ob2o3b2o$o8bobobo$b5obobob2o
$6b2ob2o$3b2o4bo$3bo5bobob2o$4bo5b2obobo$3b2o9bo!
EDIT: Boat-with-tails replaced with ships at BlinkerSpawn's suggestion.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

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Re: Oscillator Discussion Thread

Post by Gustone » April 26th, 2020, 6:24 am

p7 domino sparker?

Code: Select all

x = 3, y = 5, rule = B3/S23
3o$3o$bo2$2o!
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 yujh » April 26th, 2020, 6:36 am

Code: Select all

 x = 24, y = 18, rule = B3/S23
4b2o3bo4bo3b2o4b$bo2bo2bo2bo2bo2bo2bo2bob$obobob2obo4bob2obobobo$bo2bo
2bobob2obobo2bo2bob$4b2o3b2o2b2o3b2o4b$8bo6bo8b$7bo8bo7b$6bo10bo6b$7b
2o6b2o7b2$3b2o2b2o6b2o2b2o3b$3bo2bo10bo2bo3b$4bobo3bo2bo3bobo4b$3b2obo
bob4obobob2o3b$7b2o6b2o7b$9b2o2b2o9b$9bo2bobo9b$10b2o!
Don’t work
B34kz5e7c8/S23-a4ityz5k!!!
Mission: find a rule with 2-5ob,7-15d,3-5o ships and 4 sparky hp osc.
B2ikn35j6i/S23-a8
B2ck3ar4ac5e6c7/S1e2-an3ejnr4air5iy6c7c8

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Re: Oscillator Discussion Thread

Post by wildmyron » April 26th, 2020, 10:13 am

Gustone wrote:
April 26th, 2020, 6:24 am
p7 domino sparker?

Code: Select all

x = 3, y = 5, rule = B3/S23
3o$3o$bo2$2o!
This one works, though I have a feeling that it's known (the interaction that is, the sparker is definitely known: Josh Ball, C4 here).

Code: Select all

x = 27, y = 17, rule = B3/S23
14b3o$14b3o$15bo2$14b2o$5bo6b6o6b2o$4bobo4b8o4bo2bo$4bobo3bo8bo3bob2o$
3b2ob2ob2o8b2ob2obo$3bo4b2ob8ob2o4bo$4bobobo3b6o3bobob2o$b3o4bo5b2o5bo
$o3b3o16b4o$bobo2bobo12bobo2bo$2ob2o2b2o11bobo2bo$20bo2b2o$19b2o!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Re: Oscillator Discussion Thread

Post by JP21 » April 26th, 2020, 11:32 am

Gustone wrote:
April 26th, 2020, 6:24 am
p7 domino sparker?

Code: Select all

x = 3, y = 5, rule = B3/S23
3o$3o$bo2$2o!
JP21 wrote:
February 17th, 2020, 7:20 pm
wildmyron wrote:
February 17th, 2020, 11:22 am
JP21 wrote:
February 17th, 2020, 5:14 am
Is there any period 7 domino sparker? (NOT THE PIPSQUIRTER)
See row C in the pattern at the end of this post: https://conwaylife.com/forums/viewtopic ... 764#p64764
Well, those are the most lowest clearance ones I have ever seen in a day.
At least 3/4 of them cam support a head:

Code: Select all

x = 92, y = 35, rule = B3/S23
8b3o33b3o32b3o$8b3o33b3o32b3o$9bo35bo34bo2$8b2o34b2o33b2o$4b2o6b2o28b
6o22bo6b6o6b2o$3bo10bo26b8o20bobo4b8o4bo2bo$3bobo6bobo25bo8bo19bobo3bo
8bo3bob2o$b3obobo2bobob3o20bob2o8b2obo15b2ob2ob2o8b2ob2obo$o4b2ob2ob2o
4bo18bob2ob8ob2obo14bo4b2ob8ob2o4bo$b3obo6bob3o15b2obo2bo3b6o3bo2bob2o
11bobobo3b6o3bobob2o$3bo4b2o4bo18bobob2o5b2o5b2obobo9b3o4bo5b2o5bo$4bo
3b2o3bo18bo2bo18bo2bo7bo3b3o16b4o$5bo6bo19bobo2bo14bo2b3o8bobo2bobo12b
obo2bo$6b6o19b2ob3o16b2o10b2ob2o2b2o11bobo2bo$3bo2b6o2bo17bo4b2o6bo5b
2o2bo29bo2b2o$b3o2b2o2b2o2b3o15bob2o4bo3bobo2bo4b2o28b2o$o5b2o2b2o5bo
15bobobobobobobo2bobobobo$b3o2b2o2b2o2b3o19b2obob2o2bob2o2b2o2bo$3bo2b
6o2bo23bobo4bo2bo5b2o$6b6o26bobo5b2o$5bo6bo26bo$4bo3b2o3bo$3bo4b2o4bo$
b3obo6bob3o$o4b2ob2ob2o4bo$b3obobo2bobob3o$3bobo6bobo$3bo10bo$4b2o6b2o
$8b2o2$9bo$8b3o$8b3o!
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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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » April 27th, 2020, 12:56 am

JP21 wrote:
April 26th, 2020, 11:32 am
Gustone wrote:
April 26th, 2020, 6:24 am
p7 domino sparker?

Code: Select all

x = 3, y = 5, rule = B3/S23
3o$3o$bo2$2o!
JP21 wrote:
February 17th, 2020, 7:20 pm
wildmyron wrote:
February 17th, 2020, 11:22 am


See row C in the pattern at the end of this post: https://conwaylife.com/forums/viewtopic ... 764#p64764
Well, those are the most lowest clearance ones I have ever seen in a day.
At least 3/4 of them cam support a head:

Code: Select all

x = 92, y = 35, rule = B3/S23
8b3o33b3o32b3o$8b3o33b3o32b3o$9bo35bo34bo2$8b2o34b2o33b2o$4b2o6b2o28b
6o22bo6b6o6b2o$3bo10bo26b8o20bobo4b8o4bo2bo$3bobo6bobo25bo8bo19bobo3bo
8bo3bob2o$b3obobo2bobob3o20bob2o8b2obo15b2ob2ob2o8b2ob2obo$o4b2ob2ob2o
4bo18bob2ob8ob2obo14bo4b2ob8ob2o4bo$b3obo6bob3o15b2obo2bo3b6o3bo2bob2o
11bobobo3b6o3bobob2o$3bo4b2o4bo18bobob2o5b2o5b2obobo9b3o4bo5b2o5bo$4bo
3b2o3bo18bo2bo18bo2bo7bo3b3o16b4o$5bo6bo19bobo2bo14bo2b3o8bobo2bobo12b
obo2bo$6b6o19b2ob3o16b2o10b2ob2o2b2o11bobo2bo$3bo2b6o2bo17bo4b2o6bo5b
2o2bo29bo2b2o$b3o2b2o2b2o2b3o15bob2o4bo3bobo2bo4b2o28b2o$o5b2o2b2o5bo
15bobobobobobobo2bobobobo$b3o2b2o2b2o2b3o19b2obob2o2bob2o2b2o2bo$3bo2b
6o2bo23bobo4bo2bo5b2o$6b6o26bobo5b2o$5bo6bo26bo$4bo3b2o3bo$3bo4b2o4bo$
b3obo6bob3o$o4b2ob2ob2o4bo$b3obobo2bobob3o$3bobo6bobo$3bo10bo$4b2o6b2o
$8b2o2$9bo$8b3o$8b3o!
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VadeveSi
Posts: 3
Joined: April 29th, 2020, 1:00 pm

Re: Oscillator Discussion Thread

Post by VadeveSi » April 29th, 2020, 1:27 pm

Hello everyone,

Today I found this period 2 oscillator:

Code: Select all

x = 10, y = 5, rule = Life
obo4bobo$2obo2bob2o$3b4o$2obo2bob2o$obo4bobo!
It is nothing impressive but it is the first oscillator I ever found.
I looked around for a bit and couldn't find it elsewhere, does anyone know if this exists yet?

PS I am quite new to Life and to the forum, so if I need to post this somewhere else I will do so gladly.

JP21
Posts: 1000
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » April 29th, 2020, 1:45 pm

VadeveSi wrote:
April 29th, 2020, 1:27 pm
Hello everyone,

Today I found this period 2 oscillator:

Code: Select all

x = 10, y = 5, rule = Life
obo4bobo$2obo2bob2o$3b4o$2obo2bob2o$obo4bobo!
It is nothing impressive but it is the first oscillator I ever found.
I looked around for a bit and couldn't find it elsewhere, does anyone know if this exists yet?

PS I am quite new to Life and to the forum, so if I need to post this somewhere else I will do so gladly.
That's good for a newbie to find but it is just a boring stator variant of Spark coil.
It's like saying that "I found a new p2!!!"

Code: Select all

x = 19, y = 12, rule = B3/S23
14b2ob2o$15bob2o$11b2o2bo$2bo7bo2bob4o$2b3o5bo2bo4bo$2o3bo2bobo2bob3o$
bo2bo2bobo4bo$bobob2obo6b3o$2bobo2bo9bo$4bobo$3bobo$3b2o!
You should probably post patterns like those in "Thread for your useless discoveries" or any other related topics like that.
Edit: Really, the best topic to put those patterns is "Thread for your unsure discoveries"

wildmyron
Posts: 1398
Joined: August 9th, 2013, 12:45 am

Re: Oscillator Discussion Thread

Post by wildmyron » May 7th, 2020, 2:06 pm

Crossposting this signal generator I found from https://conwaylife.com/forums/viewtopic.php?f=2&t=4430

p5 signal generator and sink for a signal in zebra stripes which is two copies of a p1 signal

Code: Select all

x = 60, y = 25, rule = B3/S23
4b2obo2bo3bo4bo$3bobob4o2bobo3b3o19bo$3bo2bo4b3obo6bo17bobo2bo$2obo4b
2o5bob4o2bo13bo2bob4o$o2b2o2b2ob4obobo3b2o14b3obo4b2ob2ob2ob2o$2bo3bo
3bo2bobo4bo4bo2bo2bo2bo6bob2o2b2obobo3bo$b2ob2ob4o4b2o2b22obob2o4bo2bo
bo$3bobobo6b2o26bo3b6ob2ob3o$3bo3bo7bo3bo3b3o2b3o2b3o2b2o4b2o6bo3bo2bo
$2b2obo4b5obo2b2o4b2o3b2o3b2o4b2o4bo3b2obobobo$2bo2b4o5b2obo2b2ob3o2b
3o2b3o2b2o4b2obobo3bobobo$3b2o4b5o4b2o20b4o7b2o2bo$5bo2bo5b4o2b20o4b7o
2b2obo$3b2o4b5o4b2o20b4o7b2o2bo$2bo2b4o5b2obo2b2ob3o2b3o2b3o2b2o4b2obo
bo3bobobo$2b2obo4b5obo2b2o4b2o3b2o3b2o4b2o4bo3b2obobobo$3bo3bo7bo3bo3b
3o2b3o2b3o2b2o4b2o6bo3bo2bo$3bobobo6b2o26bo3b6ob2ob3o$b2ob2ob4o4b2o2b
22obob2o4bo2bobo$2bo3bo3bo2bobo4bo4bo2bo2bo2bo6bob2o2b2obobo3bo$o2b2o
2b2ob4obobo3b2o14b3obo4b2ob2ob2ob2o$2obo4b2o5bob4o2bo13bo2bob4o$3bo2bo
4b3obo6bo17bobo2bo$3bobob4o2bobo3b3o19bo$4b2obo2bo3bo4bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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cvojan
Posts: 166
Joined: October 7th, 2018, 7:07 pm
Location: Khare Crater, Pluto

Re: Oscillator Discussion Thread

Post by cvojan » May 18th, 2020, 3:26 pm

Miscellaneous oscillators posted on the discord server:

Code: Select all

x = 24, y = 23, rule = B3/S23
2b2o8b2o6b2o$o3bo6bo2bo2b2o2bo$o5b2o4bobo3bobo$o3bo2b2obo4b3o2b4o$2b2o
4b3o2b3obobo3bo$12bo4bo2bo$2b2o4b3obobo3b3o$o3bo2b2obo2b5o$o5b2o5bo4bo
$o3bo6b3o2b2obo$2b2o15bo2bo$11b3obo3bobobo$2b2o15bo2bo$o3bo6b3o2b2obo$
o5b2o5bo4bo$o3bo2b2obo2b5o$2b2o4b3obobo3b3o$12bo4bo2bo$2b2o4b3o2b3obob
o3bo$o3bo2b2obo4b3o2b4o$o5b2o4bobo3bobo$o3bo6bo2bo2b2o2bo$2b2o8b2o6b2o!

Code: Select all

x = 23, y = 10, rule = B3/S23
2b2o9bo4b2o$o3bo6bobobo2bo$o5b2o3bo4bobo2b2o$o3bo2b2o3b4obo3bo$2b2o4b
3o4bobobobo$10b3o3bobobo$11bob2obobo$11b2o5b2o$11b2o3b2o2bo$19b2o!

Code: Select all

x = 29, y = 34, rule = B3/S23
2b2o8b2obo11bo$o3bo6bo3bobo4b2obo2bo$o5b2o8b2obo2b4o2bo$o3bo2b2obob2o
5bo4b2o2bo$2b2o4b3o6bob2obo4bo$11bo5bobo$2b2o4b3o6bob2obo4bo$o3bo2b2ob
ob2o5bo4b2o2bo$o5b2o8b2obo2b4o2bo$o3bo6bo3bobo4b2obo2bo$2b2o8b2obo11bo
3$12b2o$7b2o4bo$7bobobo$3b2o4bob2o$3bo4b2obo2bo$3bobo3bo3b2o$o2bob3o2b
o$o6b2o$ob2o4bo3b2o$2bo5bo3b2o$4b2o2bo$2bo5bo3b2o$ob2o4bo3b2o$o6b2o$o
2bob3o2bo$3bobo3bo3b2o$3bo4b2obo2bo$3b2o4bob2o$7bobobo$7b2o4bo$12b2o!

Code: Select all

x = 44, y = 15, rule = B3/S23
5bo25b2o4bo2bo$3bo3bo5bob4o2bo8b4o3b4o$3bo3bo6bo6b2o5bo4b2o6b2o$b2ob2o
bobo2b3ob2obo2bo2bo2bo2b2o2b6o2bo$3bo3bo4b3o3b2obo2b2o2bo3b2o2bobobob
2o$o2bo4bobo2b2obo2bob4o6bo2bobo3bobo$o2bo4b2o2b3o3b2o5bo6b2o2b2ob2obo
$5bob2o4bob3o2b3obo8bobo5bo$b4o2b4o3b2o3b2obobobo6bo2b5o$3bo6bo5bo5bo
2b2o5b2o4bo$4b2ob2obob3ob5obo$5b2o2bobo3bo5bo$ob3o2b2o2bo2bo2b4o$2obo
2bo4b2o2b2obo$5b2o!

Code: Select all

x = 60, y = 48, rule = B3/S23
13b2o18b2o6b2o4b2o3bo$7bo2bobobo10bo7bo3b2o2bobo2bo2bo2b3o3b2o$5b6obo
10bobo8bo4bobo2bo2bob3o3bobobo$4bo6bobo7b3o3b4o2b2obo2bobo3b3o4bob2obo
$4b2o2b2obobo9bobo2bo3b2o3bo4b3o3b3obo2bob2o$2b3o3bobobo12bo3b2obobo2b
o6bo2bo7b3o$b3o6bo22bo3bo4b2o3bob2o4b2o$4bo4b2o14bo3b2obobo2bo6bo2bo7b
3o$4bo3b3o12bobo2bo3b2o3bo4b3o3b3obo2bob2o$o3bo3b3o10b3o3b4o2b2obo2bob
o3b3o4bob2obo$o3bo3b3o12bobo8bo4bobo2bo2bob3o3bobobo$4bo3b3o14bo7bo3b
2o2bobo2bo2bo2b3o3b2o$4bo4b2o22b2o6b2o4b2o3bo$b3o6bo$2b3o3bobobo$4b2o
2b2obobo29b2o2b2o$4bo6bobo13bobo4bob2o4bo2bo2bo$5b6obo14b2o5bob2o3bobo
bobo3bo$7bo2bobobo8bo3bob4o6b4obo2b5o$13b2o6b3o2b2obo2b3ob2obo4bobo$
23bo3bobobo3b2o4bo2b3ob4o$24b3o3bob2o4b2obobobo2bo2bo$32bo6bobobobo$
32bo6bobobobo$24b3o3bob2o4b2obobobo2bo2bo$23bo3bobobo3b2o4bo2b3ob4o$
21b3o2b2obo2b3ob2obo4bobo$23bo3bob4o6b4obo2b5o$27b2o5bob2o3bobobobo3bo
$27bobo4bob2o4bo2bo2bo$43b2o2b2o8$4b2o8b2o$2bo6bo5bo2bo$bo2bo3bob2o3bo
bobo$4b2o6b2obo2bo$3bob3o5bobo$obo3bo4b2o2bobo$bo3b2o2b2ob3ob2o$4bo7bo
bo$3bo2b2o2bo2bo2b2o$3bo2bo7b2obo!
conduit rediscoverer

User avatar
BlinkerSpawn
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Oscillator Discussion Thread

Post by BlinkerSpawn » May 19th, 2020, 7:24 am

A nice reduction to the second oscillator above:

Code: Select all

x = 20, y = 9, rule = B3/S23
2b2o9bo$o3bo6bobobo$o5b2o3bo4bo$o3bo2b2o3b4obo$2b2o4b3o4bobo$10b3o3bob
2o$11bob2obobo$11b2o5bo$11b2o3b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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christoph r.
Posts: 182
Joined: March 24th, 2016, 2:55 pm
Location: Germany

Re: Oscillator Discussion Thread

Post by christoph r. » May 20th, 2020, 12:49 am

From the little oscillators to little bigger ones.
I used the skeletal structure of my circuit and doubled it. The 2 circuits work identical, until 2 LWSSes leaf each circuit and collide to diagonal Gliders. The gliders return to its circuit at different places. Now the circuits differ more and more. Single LWSS are to be reflected back.

The hole system throws out Gliders in 2 lanes. It needs 2.8 billion generations to get in a structured phase. The Glider lanes come to rest, the system reaches its "Zen-Mode". There must be a period, perhaps incredible high, but i can't ascertain it. If there is a script?..

Code: Select all

x = 952, y = 1267, rule = B3/S23
270bo$265bo3bo$250b2o12bo8b2o2b2o$250b2o12bo2b2o5bo2b2o$265b2o5bobo$
266b3o3b2o2$266b3o3b2o$265b2o5bobo$264bo2b2o5bo$264bo8b2o$265bo3bo$
270bo5$372b2obo$353b2o12b3o2b2o2bo3b2o$353b2o13b2o6bo3b2o$369b3o3b2o$
370bo3bo$354bo5bo$354bo5bo9bo3bo$369b3o3b2o$350b2o11b2o3b2o6bo$367b3o
2b2o2bo$354bo5bo11b2obo$354bo5bo13$459b2o$442b2o15bobo7b2o$442b2o17bo
7b2o$459b3o2$446bo$444bo3b2o$443b2obob2o9b3o$442b2o6bo10bo$443b2obob2o
9bobo$444bo3b2o9b2o$446bo86$470b2o$470b2o5$464bo5bo$463b3o3b3o$462bo2b
2ob2o2bo$462bo3bobo3bo$464bobobobo2$461b2ob2o3b2ob2o$463bo7bo5$464bo$
463b3o$462bo3bo$461bo5bo$461bo5bo$462bo3bo2$462bo3bo$461bo5bo$461bo5bo
2b2o$462bo3bo3b2o$463b3o$464bo18$438b2o$438b2o12$438b3o3b3o$438b3o3b3o
$437bob2o3b2obo$437bob2o3b2obo$438b2o5b2o$439bo5bo4$440b2ob2o$439bo5bo
$437b5ob5o$436b2ob3ob3ob2o$255b2o3bo175b3o7b3o$240b2o13b3obob2o4b2o
168bobo5bobo$240b2o13b3o4bo4b2o169b2o5b2o$258bo3bo$259b3o$241b2o3b2o$
240b3o3b3o10b3o$238b3o7b3o7bo3bo$238b3o7b3o4b3o4bo$238b3o7b3o4b3obob2o
$240b3o3b3o6b2o3bo$241b2o3b2o15$431b2o$431b2o2$466b2o$466bo$464bobo$
424b3o3b3o31b2o$424bo2bobo2bo$423bo3bobo3bo3b2o12b4o5b3o$424bo2bobo2bo
4b2o12bob2o7bo$426bo3bo20bo7bo$424b2o5b2o19b2o5bo3bo$423b3o5b3o29bo5b
4o12b2o$423b3o5b3o18b2o5bo9b2obo12b2o$451bo7bo4bo7bo$451bob2o9bo5b2o$
451b4o5bo$460bo3bo5b2o$424b3o37bo7bo$424b3o34bo7b2obo$423b5o33b3o5b4o$
416bo5b2o3b2o$416b3o3b2o3b2o$419bo$418b2o2$422b2o3b2o$422b2o3b2o2b2o$
423b5o3b2o$424b3o$420b3ob3o23bo$420b3o27bobo$414b2o3b5o26b2o$414b2o2b
2o3b2o$418b2o3b2o4$418b2o3b2o$418b2o3b2o$419b5o93b2o$420b3o6b2o86bo$
420b3o5bo2b2o82bobo$428bo4b2o55b2o23b2o$489b4o7b2o$427bo60bobobo6bo2b
2o$488b2ob3o4b6o$413b3o5b3o3bo3bob2o56b2obo5b4o30b2o$413b3o5b3o8b2o57b
2obo29b2o7b4o$414b2o5b2o99b2o2bo6bobobo$416bo3bo70b2obo27b6o4b3ob2o$
414bo2bobo2bo68b2obo5b4o18b4o5bob2o$413bo3bobo3bo66bo2bo4b6o27bob2o$
414bo2bobo2bo68b2o6bo2b2o$414b3o3b3o9bo31b2o5b2o18b2o7b2o29bob2o$430bo
bo31b2o5b2o49b4o5bob2o$431b2o89b6o4bo2bo$522b2o2bo6b2o$524b2o7b2o$411b
2o5b3o3b3o$412bo5bo2bobo2bo$409b3o5bo3bobo3bo$409bo8bo2bobo2bo79bobo$
420bo3bo40bo5bo34b2o$418b2o5b2o37b3o3b3o34bo$417b3o5b3o35b2obo3bob2o$
417b3o5b3o2$466bo3bo$466bo3bo2$418b3o$418b3o$417b5o74bo13b2o25b2o$416b
2o3b2o48bo22b2o14b2o26bo$416b2o3b2o47bobo22b2o41bobo11b2o$469b2ob2o65b
2o10bo$455bo13bo3bo76bo2b2o$453bobo12b3ob3o75bo2bo$416b2o3b2o31b2o13bo
3bo76bobo10bo$416b2o3b2o2b2o31b2o9bo3bo77b2o10b3o$417b5o3b2o20bo3bo8bo
3b2o4bobo93bo$418b3o14b2o9bo5bo5b2o4b2o5bo79b2o10b3o$418b3o14b2o9bo
103bobo10bo$446b2o3bo6bo91bo2bo$448b3o6bo25bobo18bo5bo16b4o19bo2b2o$
457bo25b2o18bobo3bobo9bo5b2obo20bo$448b3o7b3o23bo17bo3bobo3bo6bo2b2o6b
o21b2o$446b2o3bo50bo3bobo3bo4b6o5b2o$446bo55bo9bo3bo$446bo5bo64b6o5b2o
$447bo3bo51b2o5b2o7bo2b2o6bo$521bo5b2obo$527b4o10bo$539b2ob4o$385b3o
117bo3bo29bo2b4o$385bo2bo84bo29b2o37bobo$385bo85b2o29bo3bobo3b2o26b2o$
385bo86b2o28bo3bobo$386bobo114b3o$479b3o28bo2bo$479bo30b2o28b2o$480bo
59b2o8b2o$540b2o7bo2bo12b2o$540b2obo5bo2b2o11b2o$541b2obo4bo2bo$534bo
7b3o6bo$533bobo$533b2o7b3o6bo$541b2obo4bo2bo$496b2o42bo8bo2b2o11b2o$
444b2o48bo4bo41b2o6bo2bo12b2o$443bobo47bo22b6o20bo7b2o$442b3o6bo41bo5b
o16bo5bo$442b2ob3ob2ob2o39b6o17bo$443b5ob2ob2o63bo4bo$445bo5bo67b2o13b
o$446b2ob2o82b3o$385b3o90b2o52bo$384bo2bo89bobo53bobo13bo3bo$387bo88b
3o6bo48b3o11bo5bo9b2o$387bo57bo5bo24b2ob3ob2ob2o47b5o8bo15b2o$384bobo
57b2o5b2o24b5ob2ob2o49b3o8b2o3bo$443bob2o3b2obo25bo5bo64b3o$443bob2o3b
2obo26b2ob2o$444b3o3b3o97b3o$444b3o3b3o95b2o3bo$397bo134b2o14bo15b2o$
396b3o80bo5bo29b2o15bobo13bo5bo9b2o$395bo3bo3b2o73b2o5b2o28b2o15bob2o
13bo3bo$394bo5bo2b2o72bob2o3b2obo45b2o$394bo5bo76bob2o3b2obo45bo$395bo
3bo78b3o3b3o$478b3o3b3o46bo$395bo3bo133b2o$394bo5bo114b2o15bob2o$394bo
5bo114b2o15bobo$395bo3bo132b2o7b2o$396b3o45b2o95bobo$397bo46b2o97bo$
543b2o$385b3o$385bo2bo$385bo$385bo10bo7bo$386bobo5b2ob2o3b2ob2o71b2o$
478b2o$397bobobobo$395bo3bobo3bo7bo$395bo2b2ob2o2bo5b3o$396b3o3b3o5bo$
397bo5bo6b2o5$401bo5bo$400b3o3b3o$399bo2b2ob2o2bo$399bo3bobo3bo$401bob
obobo2$386bobo9b2ob2o3b2ob2o$386b2o12bo7bo$387bo2$372bo8b2o3b2o$368b2o
2bo7bo2bobo2bo$367bo5bo5bo9bo11bo$366b2o2bobo5b2o9b2o9b3o$367b2o3bo6bo
9bo9bo3bo$368b3o9bo2bobo2bo9bo5bo$381b2o3b2o10bo5bo$368b3o28bo3bo$367b
2o3bo$360b2o4b2o2bobo14b2o10bo3bo$360b2o5bo5bo13b2o9bo5bo$368b2o2bo25b
o5bo2b2o$372bo26bo3bo3b2o$400b3o$401bo3$227b2o$227b2o13$227b2o5b2o$
227bob2ob2obo$228bobobobo$228bobobobo$227bo7bo$218bo$218b3o$221bo$220b
2o7b2ob2o$227bo2bobo2bo$224bob5ob4o$223b4ob5obo$223bo2bobo2bo$225b2ob
2o4$223bo7bo$224bobobobo$224bobobobo$223bob2ob2obo13bo$223b2o5b2o14b2o
$245b2o4$919b2o$920bo$920bobo$921b2o8b2o$929b5o$928bo4bo14b2o$256bobo
669bo2b3o14b2o$257b2o658b2o9b2o2bo$223b2o32bo658b5o9b2o$223b2o675b2o
14bo4bo21bo3bo$238bo3bo10b2o645b2o14b3o2bo8b2o9b2obobob2o$236b2obobob
2o7b5o660bo2b2o6b2o2bo7bob2o3b2obo$235bob2o3b2obo6bo4bo660b2o8bo2b3o5b
o2bo5bo2bo$234bo2bo5bo2bo5b3o2bo644bo3bo21bo4bo6bob2o3b2obo$235bob2o3b
2obo7bo2b2o642b2obobob2o9b2o9b5o7b2obobob2o$236b2obobob2o9b2o643bob2o
3b2obo7bo2b2o9b2o10bo3bo$238bo3bo655bo2bo5bo2bo5b3o2bo$254b2o643bob2o
3b2obo6bo4bo$253bo2b2o642b2obobob2o7b5o$236b2o14b3o2bo644bo3bo10b2o$
236b2o14bo4bo$252b5o$253b2o$940bo$939bobo$868b2o44b2o18bo3bo3bo3b2o$
867b4o19b2o21b4o15bobo3b5o3b2o$866b2ob2o18b2ob2o18b2ob2o16b2o2bobobobo
$867b2o21b4o19b2o23bo3bo$891b2o$938bo3bo$937bobobobo$3b2o933b5o$bo2bo
933bo3bo$9b3o927bobo$6bobo3bo927bo$b2o3bobo3bo$10b2o$5bo3bo3$938b3o5b
3o$3b2o5b2o925b2ob2o3b2ob2o$937b2obobobobob2o$2bo9bo925bo3bobo3bo$2bo
3bobo3bo925bo2bo3bo2bo$2bo3bobo3bo926b3o3b3o$3bobo3bobo$4bo5bo4$946b2o
$946b2o4$251b2o$241b2o7bobo15b2o$3b2o236b2o6b2obo15b2o644b2o2b2o4bo2b
2o12b2o$3b2o245b2o662b2ob2o6b2obo12b2o$251bo666bobo6bo$919b2o4b3o$251b
o10b2o3b2o$250b2o9bob2ob2obo649b2o4b3o$249b2obo8bo7bo648bobo6bo$250bob
o8bob2ob2obo647b2o6b2obo$251b2o9b2o3b2o649b2o4bo2b2o191$295bo$285b2o6b
o2bo$283bob3o5b5o$281b3o4bo4b3ob2o$283bob3o6b2obo$285b2o8b2o2$295b2o$
294b2obo$281b2o10b3ob2o9b2o$281b2o10b5o10b2o$293bo2bo$295bo7$919b3o3bo
$917b5o2bobo$916b2o3b2o3bo$917b2o3bo2bo$918bo3b3o2$918bo3b3o$917b2o3bo
2bo$b2o909b2o2b2o3b2o3bo12b2o$b2o909b2o3b5o2bobo12b2o$919b3o3bo5$944b
2o$944b2o5$2bo5bo$b3o3b3o$o3bobo3bo926b3o3b3o$o9bo926bo2bobo2bo$b3o3b
3o926bo3bobo3bo$936b4o3b4o$937bo7bo3$3b2ob2o$4bobo$2ob2ob2ob2o$o2bo3bo
bo$o7bo929bo$o2bo933b3o$b2o933bo3bo$936b2ob2o$936b2ob2o$867b2o44b2o$
866b4o19b2o21b4o20b2ob2o$865b2ob2o18b2ob2o18b2ob2o20b2ob2o$866b2o21b4o
19b2o16b3o3bo3bo3b2o$890b2o40bo4b3o4b2o$931bo6bo3$251b2o$234b2o14b2ob
2o$234b2o15bo2bo$251bo2bo644b3ob3o9b2o$252b2o644bob2ob2obo7b2ob2o$897b
2o7b2o7bo2bo$235b3ob3o10b2o644bob2ob2obo8bo2bo$234bob2ob2obo8bo2bo644b
3ob3o10b2o11b2o9b3ob3o$233b2o7b2o7bo2bo672b2ob2o7bob2ob2obo$234bob2ob
2obo7b2ob2o661b2o9bo2bo7b2o7b2o$235b3ob3o9b2o662bo2bo8bo2bo8bob2ob2obo
$898b2o15bo2bo9b2o10b3ob3o$221b2o675b2o14b2ob2o$221b2o692b2o11b2o$254b
2o671bo2bo$255b2o670bo2bo15b2o$254bo672b2ob2o14b2o$929b2o$919b2o$918bo
bo$918bo$917b2o4$243bo$221b2o5b2o13b2o$220bo2bo3bo2bo11bobo$221bo2bobo
2bo$224bobo$222b3ob3o$220b3o5b3o$220b2o7b2o$220b2o7b2o$221bob2ob2obo$
221b3o3b3o$222bo5bo$226bo5bo$225b3o3b3o$218b2o5bob2ob2obo$219bo4b2o7b
2o$216b3o5b2o7b2o$216bo7b3o5b3o$226b3ob3o$228bobo$225bo2bobo2bo$224bo
2bo3bo2bo$225b2o5b2o13$225b2o$225b2o4$398b3o$398b3o4b2o$367b4o26bo3bo
3b2o$358b2o6b2o2bo14b2o9bo5bo$358b2o5b2o2bo15b2o10b2ob2o$366bo2bo$367b
2o28b2ob2o$380bo3bo11bo5bo$367b2o10bobobobo11bo3bo$366bo2bo7b2o2bobo2b
2o10b3o$365b2o2bo7b2o7b2o10b3o$366b2o2bo6b2o2bobo2b2o$367b4o8bobobobo$
380bo3bo3$385b2o$384b2o11b2o7b2o$386bo10bob2o3b2obo$397bo3bobo3bo$397b
2o2bobo2b2o$398b3o3b3o$399bo5bo6$408b2o$395bo5bo6bo$394b3o3b3o6b3o$
393b2o2bobo2b2o7bo$393bo3bobo3bo$382bobo8bob2o3b2obo72b2o$385bo7b2o7b
2o72b2o$385bo$382bo2bo$383b3o2$541b2o$442b2o97bo$394b3o45b2o95bobo$
394b3o133bo8b2o$393bo3bo115b2o15b2o$392bo5bo114b2o16b2o$393b2ob2o128b
2o2b2o2$393b2ob2o78b3o3b3o$392bo5bo77bo2bobo2bo$393bo3bo3b2o73b2obobob
2o41b2o2b2o17b2o$394b3o4b2o73b2o5b2o28b2o16b2o15bo$394b3o116b2o15b2o
15bo2b2o10b2o$530bo16bo2bo11b2o$547bobo$442b3o3b3o97b2o$442bo2bobo2bo
27b2ob2o$384bobo55b2obobob2o25bo2bobo2bo50b2o11b2o$383bo58b2o5b2o25bob
o3bobo52bo9bobo$383bo92b3o3b3o49b3o10bo2bo11b2o$383bo2bo89b2o56b3o10bo
2b2o10b2o$383b3o90b2o52bo2bo14bo$476b2o52bobobo14b2o$444b2ob2o82b2o$
442bo2bobo2bo44b2o$442bobo3bobo42bo4bo$442b3o3b3o41bo22b6o$442b2o48bo
5bo16bo5bo$442b2o48b6o17bo$442b2o72bo4bo18b2o4bo2b2o12b2o$518b2o19b2o
6b2obo12b2o$540bobo6bo$531b2o8b2o4b3o$531bobo$532bo8b2o4b3o$540bobo6bo
$539b2o6b2obo12b2o$540b2o4bo2b2o12b2o$478bo62bo$478bobo27b2o28bobo$
382bobo93b2o27bo2bo27bo$385bo116bo7bo31bo$385bo85bo29bobo3bo2bo28bo$
382bo2bo84b2o28b2ob2ob2ob2o28bo$383b3o84bobo31bobo31bo$503b2ob2o14bo
15bo5bo$523bo3bo10bob4o$520bo7bo10bob3o$447b2o69bo5b2o2bo12b2o$446bo
70bob2o5b2o13b2o$445bo2b2o51b3o3b3o5b3ob2o3b3o$445bo2bo51bo9bo3bo$445b
obo52bo3bobo3bo4b3ob2o3b3o$446b2o53b3o3b3o7bob2o5b2o$456b3o23b2o18bo5b
o9bo5b2o2bo21b3o$446b2o7bo3bo21b2o37bo7bo20bo4bo$445bobo6bo4bo23bo39bo
3bo20bo5bo$417bo15b2o10bo2bo73bo26bo7bobobo$416bobo14b2o10bo2b2o5bo6b
2o86b2o5b7o$415bo3bo3b2o21bo9b3o3b2o5bo94bo$415b5o3b2o22b2o19b3o79b2o
5b7o$414bobobobo46bo3bo77bo7bobobo$415bo3bo31b3o13b2ob2o76bo5bo$453bo
95bo4bo$415bo3bo32bo15b3o66b2o11b3o$414bobobobo47b3o23bo41bobo$415b5o
73b2o13b2o26bo$415bo3bo73bobo12b2o25b2o$416bobo$417bo2$464b2ob2o$464b
2ob2o$464b2ob2o$462bob2ob2obo$415b3o5b3o36b3o3b3o$414b2ob2o3b2ob2o36bo
5bo$414b2obobobobob2o78b2o$407bo7bo3bobo3bo78b2o$407b3o5bo2bo3bo2bo80b
o$410bo5b3o3b3o$409b2o2$521b4o5b3o$521bob2o7bo$428b3o31b2o5b2o50bo7bob
2o$430bo31b2o5b2o51b2o5b2o$412b3o3b3o8bo59b3o5b4o$411bo2bo3bo2bo67bo7b
2obo21b2o5b2o$411bo3bobo3bo67b2obo7bo20bo7bob2o$410b2obobobobob2o68b2o
5b2o21bob2o7b4o$410b2ob2o3b2ob2o98b4o5b6o$411b3o5b3o8b2o59b2o5b2o$426b
o3b2o57b2obo7bo$425b2o2bo56b4o7b2obo$428b2o2bo53b6o5b4o$427bo3b2o$426b
obobo82b2o$419bo6bobo84bobo$418bobo6bo87bo$417bo3bo93b2o$417b5o$416bob
obobo$417bo3bo2$417bo3bo$416bobobobo$412b2o3b5o$412b2o3bo3bo$418bobo
27b3o$419bo3bo24bo$422bobo24bo$421bo3bo3b2o$421b5o3b2o$420bobobobo$
421bo3bo$416b2o$417bo3bo3bo$414b3o3bobobobo37bo$414bo6b5o39bo3bo$421bo
3bo34b2o8bo$422bobo35bo5b2o2bo$423bo31bo4bobo5b2o$450bo3bo6b2o3b3o$
449bo8b2o$449bo2b2o5bob2o3b3o$450b2o5bo4bo5b2o$451b3o3b2obo5b2o2bo12b
2o$421b3o5b3o28b2o8bo12b2o$420b2ob2o3b2ob2o18b3o3b2o6bo3bo$420b2obobob
obob2o17b2o5bobo4bo$421bo3bobo3bo3b2o12bo2b2o5bo$421bo2bo3bo2bo3b2o12b
o8b2o$422b3o3b3o19bo3bo$455bo6b2o$462bobo$464bo$464b2o2$429b2o$429b2o
15$240bo3bo10b2o$238b2obobob2o7b5o$237bob2o3b2obo6bo4bo$236bo2bo5bo2bo
5b3o2bo$237bob2o3b2obo7bo2b2o$238b2obobob2o9b2o$240bo3bo$256b2o$255bo
2b2o$238b2o14b3o2bo5b2o169b2o5b2o$238b2o14bo4bo5b2o169b2o5b2o$254b5o
177b2o5b2o$255b2o179b3o3b3o$436bobo3bobo$436bo2bobo2bo$438b2ob2o5$436b
2o5b2o$436b2obobob2o$436bo2bobo2bo$436b3o3b3o13$436b2o$436b2o19$461b3o
$461b3o4b2o$460bo3bo3b2o$459bo5bo$460b2ob2o2$460b2ob2o$459bo5bo$460bo
3bo$461b3o$461b3o7$460b2o7b2o$460bob2o3b2obo$460bo3bobo3bo$460b2o2bobo
2b2o$461b3o3b3o$462bo5bo6$468b2o$468b2o87$443b3o$441b2obob2o8b3o$441b
2o5bo5bo3bo$441b2obob2o5bo4bo$443b3o7bo3bo2$453bo3bo$453bo4bo$440b2o
12bo3bo8b2o$440b2o14b3o8b2o14$352b2o3b2o$351b3o3b3o6b2o3bo$349b3o7b3o
4b3obob2o$349b3o7b3o4b3o4bo$349b3o7b3o7bo3bo$351b3o3b3o10b3o$352b2o3b
2o$370b3o$369bo3bo$351b2o13b3o4bo4b2o$351b2o13b3obob2o4b2o$366b2o3bo5$
249bo5bo$249bo5bo11b2obo$262b3o2b2o2bo$245b2o11b2o3b2o6bo$264b3o3b2o$
249bo5bo9bo3bo$249bo5bo$265bo3bo$264b3o3b2o$248b2o13b2o6bo3b2o$248b2o
12b3o2b2o2bo3b2o$267b2obo!

Hunting
Posts: 3014
Joined: September 11th, 2017, 2:54 am

Re: Oscillator Discussion Thread

Post by Hunting » May 20th, 2020, 1:10 am

christoph r. wrote:
May 20th, 2020, 12:49 am
If there is a script?..
The following slight modification of oscar.lua should work, though I haven't tested.

Code: Select all

-- Oscar is an OSCillation AnalyzeR for use with Golly.
-- Author: Andrew Trevorrow (andrew@trevorrow.com), Mar 2016.
-- 
-- This script uses Gabriel Nivasch's "keep minima" algorithm.
-- For each generation, calculate a hash value for the pattern.  Keep all of
-- the record-breaking minimal hashes in a list, with the oldest first.
-- For example, after 5 generations the saved hash values might be:
-- 
--   8 12 16 24 25,
-- 
-- If the next hash goes down to 13 then the list can be shortened:
-- 
--   8 12 13.
-- 
-- If the current hash matches one of the saved hashes, it is highly likely
-- the pattern is oscillating.  By keeping a corresponding list of generation
-- counts we can calculate the period.  We also keep lists of population
-- counts and bounding boxes to reduce the chance of spurious oscillator
-- detection due to hash collisions.  The bounding box info also allows us
-- to detect moving oscillators (spaceships/knightships).

local g = golly()

-- initialize lists
local hashlist = {}     -- for pattern hash values
local genlist = {}      -- corresponding generation counts
local poplist = {}      -- corresponding population counts
local boxlist = {}      -- corresponding bounding boxes

-- check if outer-totalistic rule has B0 but not S8
local r = g.getrule()
r = string.match(r, "^(.+):") or r
local hasB0notS8 = r:find("B0") == 1 and r:find("/") > 1 and r:sub(-1,-1) ~= "8"

--------------------------------------------------------------------------------

local function show_spaceship_speed(period, deltax, deltay)
    -- we found a moving oscillator
    if deltax == deltay or deltax == 0 or deltay == 0 then
        local speed = ""
        if deltax == 0 or deltay == 0 then
            -- orthogonal spaceship
            if deltax > 1 or deltay > 1 then
                speed = speed..(deltax + deltay)
            end
        else
            -- diagonal spaceship (deltax == deltay)
            if deltax > 1 then
                speed = speed..deltax
            end
        end
        if period == 1 then
            g.show("Spaceship detected (speed = "..speed.."c)")
        else
            g.show("Spaceship detected (speed = "..speed.."c/"..period..")")
        end
    else
        -- deltax != deltay and both > 0
        local speed = deltay..","..deltax
        if period == 1 then
            g.show("Knightship detected (speed = "..speed.."c)")
        else
            g.show("Knightship detected (speed = "..speed.."c/"..period..")")
        end
    end
end

--------------------------------------------------------------------------------

local function oscillating()
    -- return true if the pattern is empty, stable or oscillating
    
    -- first get current pattern's bounding box
    local pbox = g.getselrect()
    if #pbox == 0 then
        g.show("The pattern is empty.")
        return true
    end
    
    local h = g.hash(pbox)
    
    -- determine where to insert h into hashlist
    local pos = 1
    local listlen = #hashlist
    while pos <= listlen do
        if h > hashlist[pos] then
            pos = pos + 1
        elseif h < hashlist[pos] then
            -- shorten lists and append info below
            for i = 1, listlen - pos + 1 do
                table.remove(hashlist)
                table.remove(genlist)
                table.remove(poplist)
                table.remove(boxlist)
            end
            break
        else
            -- h == hashlist[pos] so pattern is probably oscillating, but just in
            -- case this is a hash collision we also compare pop count and box size
            local rect = boxlist[pos]
            if tonumber(g.getpop()) == poplist[pos] and pbox[3] == rect[3] and pbox[4] == rect[4] then
                local period = tonumber(g.getgen()) - genlist[pos]
                
                if hasB0notS8 and (period % 2) > 0 and
                   pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- ignore this hash value because B0-and-not-S8 rules are
                    -- emulated by using different rules for odd and even gens,
                    -- so it's possible to have identical patterns at gen G and
                    -- gen G+p if p is odd
                    return false
                end
                
                if pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- pattern hasn't moved
                    if period == 1 then
                        g.show("The pattern is stable.")
                    else
                        g.show("Oscillator detected (period = "..period..")")
                    end
                else
                    local deltax = math.abs(rect[1] - pbox[1])
                    local deltay = math.abs(rect[2] - pbox[2])
                    show_spaceship_speed(period, deltax, deltay)
                end
                return true
            else
                -- look at next matching hash value or insert if no more
                pos = pos + 1
            end
        end
    end
    
    -- store hash/gen/pop/box info at same position in various lists
    table.insert(hashlist, pos, h)
    table.insert(genlist, pos, tonumber(g.getgen()))
    table.insert(poplist, pos, tonumber(g.getpop()))
    table.insert(boxlist, pos, pbox)
    
    return false
end

--------------------------------------------------------------------------------

local function fit_if_not_visible()
    -- fit pattern in viewport if not empty and not completely visible
    local r = g.getrect()
    if #r > 0 and not g.visrect(r) then g.fit() end
end

--------------------------------------------------------------------------------

g.show("Checking for oscillation... (hit escape to abort)")

local oldsecs = os.clock()
g.select(g.getrect())
while not oscillating() do
    g.run(1)
    local newsecs = os.clock()
    if newsecs - oldsecs >= 1.0 then   -- show pattern every second
        oldsecs = newsecs
        -- fit_if_not_visible()
        g.update()
    end
end
-- fit_if_not_visible()
MLP will live on forever, so does John Horton Conway.
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February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

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Entity Valkyrie 2
Posts: 538
Joined: February 26th, 2019, 7:13 pm
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » May 20th, 2020, 1:28 am

I have like "hextuple" posted this oscar variant.

Code: Select all

-- Oscar is an OSCillation AnalyzeR for use with Golly.
-- 
-- This script uses Gabriel Nivasch's "keep minima" algorithm.
-- For each generation, calculate a hash value for the pattern.  Keep all of
-- the record-breaking minimal hashes in a list, with the oldest first.
-- For example, after 5 generations the saved hash values might be:
-- 
--   8 12 16 24 25,
-- 
-- If the next hash goes down to 13 then the list can be shortened:
-- 
--   8 12 13.
-- 
-- If the current hash matches one of the saved hashes, it is highly likely
-- the pattern is oscillating.  By keeping a corresponding list of generation
-- counts we can calculate the period.  We also keep lists of population
-- counts and bounding boxes to reduce the chance of spurious oscillator
-- detection due to hash collisions.  The bounding box info also allows us
-- to detect moving oscillators (spaceships/knightships).

local g = golly()
min = 2147483648

-- initialize lists
local hashlist = {}     -- for pattern hash values
local genlist = {}      -- corresponding generation counts
local poplist = {}      -- corresponding population counts
local boxlist = {}      -- corresponding bounding boxes
local t = {}            -- corresponding not removing list of pops
local population = tonumber(g.getpop())

-- check if outer-totalistic rule has B0 but not S8
local r = g.getrule()
r = string.match(r, "^(.+):") or r
local hasB0notS8 = r:find("B0") == 1 and r:find("/") > 1 and r:sub(-1,-1) ~= "8"
----------------------------------------------------------------------

local function show_spaceship_speed(period, deltax, deltay, smallestphase)
    -- we found a moving oscillator
    if deltax == deltay or deltax == 0 or deltay == 0 then
        local speed = ""
        local speed2 = ""
        if deltax == 0 or deltay == 0 then
            -- orthogonal spaceship
            speed2 = speed2..(deltax + deltay)
            if speed2 == "" then
                speed2 = 1
            end
        else
            -- diagonal spaceship (deltax == deltay)
            speed2 = deltax
            if speed2 == "" then
                speed2 = 1
            end
        end
        if deltax == deltay then
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = (1, 1)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            else
                if smallestphase < 15 then
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                else
                    g.show("Diagonal spaceship detected (speed = ("..speed2..", "..speed2..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed2..")")
                end
            end
        else
            if period == 1 then
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = (1, 0)/1, systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            else
                if smallestphase < 15 then
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                else
                    g.show("Orthogonal spaceship detected (speed = ("..speed2..", 0)/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V0)")
                end
            end
        end
    else
        -- deltax != deltay and both > 0
        local speed = deltay..", "..deltax
        if deltay > deltax then
            speed2 = deltay
            speed3 = deltax
        else
            speed2 = deltax
            speed3 = deltay
        end
        if 1 == 1 then
            g.show("Knightship detected (speed = ("..speed..")/"..period..", systematic name "..smallestphase.."P"..period.."H"..speed2.."V"..speed3..")")
        end
    end
end
----------------------------------------------------------------------

local function oscillating()
    -- return true if the pattern is empty, stable or oscillating
    
    -- first get current pattern's bounding box
    local pbox = g.getrect()
    if #pbox == 0 then
        g.show("All cells are dead.")
        return true
    end
    
    local h = g.hash(pbox)
    
    -- determine where to insert h into hashlist
    local pos = 1
    local listlen = #hashlist
    while pos <= listlen do
        if h > hashlist[pos] then
            pos = pos + 1
        elseif h < hashlist[pos] then
            -- shorten lists and append info below
            for i = 1, listlen - pos + 1 do
                table.remove(hashlist)
                table.remove(genlist)
                table.remove(poplist)
                table.remove(boxlist)
            end
            break
        else
            -- h == hashlist[pos] so pattern is probably oscillating, but just in
            -- case this is a hash collision we also compare pop count and box size
            local rect = boxlist[pos]
            local population3 
            if tonumber(g.getpop()) == poplist[pos] and pbox[3] == rect[3] and pbox[4] == rect[4] then
                local period = tonumber(g.getgen()) - genlist[pos]
                local population3 = tonumber(g.getpop())
                if hasB0notS8 and (period % 2) > 0 and
                   pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- ignore this hash value because B0-and-not-S8 rules are
                    -- emulated by using different rules for odd and even gens,
                    -- so it's possible to have identical patterns at gen G and
                    -- gen G+p if p is odd
                    return false
                end
                
                if pbox[1] == rect[1] and pbox[2] == rect[2] and
                   pbox[3] == rect[3] and pbox[4] == rect[4] then
                    -- pattern hasn't moved
                    if period == 1 then
                        population2 = tonumber(g.getpop())
                        g.show("Still life detected (cells = "..population2..")")
                    else
                        g.show("Oscillator detected (period = "..period..", systematic name "..smallestphase.."P"..period..")")
                    end
                else
                    local deltax = math.abs(rect[1] - pbox[1])
                    local deltay = math.abs(rect[2] - pbox[2])
                    show_spaceship_speed(period, deltax, deltay, smallestphase)
                return true
                end
            else
                -- look at next matching hash value or insert if no more
                pos = pos + 1
            end
        end
    end
    
    -- store hash/gen/pop/box info at same position in various lists
    table.insert(hashlist, pos, h)
    table.insert(genlist, pos, tonumber(g.getgen()))
    table.insert(poplist, pos, tonumber(g.getpop()))
    table.insert(t, pos, tonumber(g.getpop()))
    table.insert(boxlist, pos, pbox)
    table.sort(t)
    smallestphase = t[1]
    return false
    end


----------------------------------------------------------------------

local function fit_if_not_visible()
    -- fit pattern in viewport if not empty and not completely visible
    local r = g.getrect()
    if #r > 0 and not g.visrect(r) then g.fit() end
end

----------------------------------------------------------------------

g.show("Checking for oscillation... (hit escape to abort)")

local oldsecs = os.clock()
while not oscillating() do
    g.run(1)
    local newsecs = os.clock()
    if newsecs - oldsecs >= 1.0 then   -- show pattern every second
        oldsecs = newsecs
        fit_if_not_visible()
        g.update()
    end
end

fit_if_not_visible()
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Entity Valkyrie 2
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Joined: February 26th, 2019, 7:13 pm
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 » May 21st, 2020, 7:25 am

A forgotten buckaroo variant from this thread:

Code: Select all

x = 35, y = 27, rule = B3/S23
4bo$5b2o$4b2o5$25b2o$24bo3bo$17b2o4bo5bo$9b2o4bo4bo2bo3bo2bo$8bobo4b2o
6bo$10bo5bo3bo3bo3bo3bo$19bo5b2o3b2obo$33bo$33b2o$14b3o$12b3obo2b2o$
11bo6bobo5b3o$2o10b5obobob2o2bob3o$b2o14b2obobobo6bo$o13b2o4bobobob5o$
14bo5bobob2o$15bo5bo5b2o$14b2o12bo$27bo$27b2o!
The ENEERG-y of the EVAD is watching.
The 70th NAI-ve guy is watching.

Please click here for my own pages.

Also, please apgsearch B34t5y7/S23 (B-life)

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