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Re: Oscillator Discussion Thread

Posted: July 10th, 2022, 6:37 am
by hotdogPi
These never got crossposted from Discord to the forums. Both are by mvr.

p30 long bun hassler

Code: Select all

x = 28, y = 30, rule = B3/S23
6bo$6b3o$9bo$8b2o2$23bo$21b3o$20bo$20b2o$8bobo$10bo2$8b3o15b2o$9bo16bo
$2b2o20bobo$bobo20b2o$bo16bo$2o15b3o2$17bo$17bobo$6b2o$7bo$4b3o$4bo2$
18b2o$18bo$19b3o$21bo!
p70 century hassler

Code: Select all

x = 45, y = 21, rule = B3/S23
16b2o9b2o$16b2o9b2o2$11bobo17bobo$12bo19bo6$16b2o9b2o$14bo2bo9bo2bo$2o
12b3o11b3o12b2o$o14bo13bo14bo$2bob2o33b2obo$b2ob2o33b2ob2o2$b2ob2o11b
2o7b2o11b2ob2o$2bobo12bo9bo12bobo$2bobo13b3o3b3o13bobo$3bo16bo3bo16bo!

Re: Oscillator Discussion Thread

Posted: July 11th, 2022, 10:25 pm
by Ian07
43P54 by mvr, monomerized by wwei23:

Code: Select all

x = 26, y = 19, rule = B3/S23
5bo$5b3o7b2o$8bo6b2o$7b2o2$2o22b2o$bo22bo$bobo10b3o5bobo$2b2o10bo7b2o$
14b2o4$21bo$21b2o$5b2o14b2o$5bo16bo$6bo$5b2o!

Re: Oscillator Discussion Thread

Posted: July 12th, 2022, 7:12 am
by iNoMed
p183 LOM hassler reduced from 362 cells to 196 cells by replacing the massive beehive-pusher catalyst with a single fishhook and transparent phase-shifting blinker:

Code: Select all

x = 54, y = 59, rule = B3/S23
13bo$12bobo$13bo$13bo4b2o$11b3o4bobob2o$20bobo$19b2obo5bo$11b3o8bob2o
2b3o$13bo5b4o2bo5bo$13bo5bo3b2o5b2o$12bobo5b3o$13bo8bo$5b2o15bobo$6bo
16b2o$6bobo$7b2o$3b2o39b3o$4bo$4bobo46bo$5b2o44b3o$50bo$46bo3b2o$44bo
2bo$16b3o26b2o$14b2o2bo$14bo2b2o$14b3o$2b2o$2b2o2$50b2o$50b2o$37b3o$
35b2o2bo$35bo2b2o$7b2o26b3o$6bo2bo$2b2o3bo$3bo$3o44b2o$o46bobo$49bo$7b
3o39b2o$45b2o$45bobo$29b2o16bo$29bobo15b2o$31bo8bo$31b3o5bobo$22b2o5b
2o3bo5bo$22bo5bo2b4o5bo$23b3o2b2obo8b3o$25bo5bob2o$31bobo$30b2obobo4b
3o$34b2o4bo$40bo$39bobo$40bo!

Re: Oscillator Discussion Thread

Posted: July 13th, 2022, 5:21 pm
by hotcrystal0
iNoMed wrote:
July 12th, 2022, 7:12 am
p183 LOM hassler reduced from 362 cells to 196 cells by replacing the massive beehive-pusher catalyst with a single fishhook and transparent phase-shifting blinker:

Code: Select all

x = 54, y = 59, rule = B3/S23
13bo$12bobo$13bo$13bo4b2o$11b3o4bobob2o$20bobo$19b2obo5bo$11b3o8bob2o
2b3o$13bo5b4o2bo5bo$13bo5bo3b2o5b2o$12bobo5b3o$13bo8bo$5b2o15bobo$6bo
16b2o$6bobo$7b2o$3b2o39b3o$4bo$4bobo46bo$5b2o44b3o$50bo$46bo3b2o$44bo
2bo$16b3o26b2o$14b2o2bo$14bo2b2o$14b3o$2b2o$2b2o2$50b2o$50b2o$37b3o$
35b2o2bo$35bo2b2o$7b2o26b3o$6bo2bo$2b2o3bo$3bo$3o44b2o$o46bobo$49bo$7b
3o39b2o$45b2o$45bobo$29b2o16bo$29bobo15b2o$31bo8bo$31b3o5bobo$22b2o5b
2o3bo5bo$22bo5bo2b4o5bo$23b3o2b2obo8b3o$25bo5bob2o$31bobo$30b2obobo4b
3o$34b2o4bo$40bo$39bobo$40bo!
Well that was lucky

Re: Oscillator Discussion Thread

Posted: July 15th, 2022, 9:23 pm
by hotdogPi
mvr from Discord: p60 doubly skewed pulsar hassler

Code: Select all

x = 25, y = 25, rule = B3/S23
15b2o$9b2o4b2o$2bo6bobo9b2o$2b3o5bo10bo$5bo13bobo$4b2o13b2o2$14bo$2o
11b3o$2o6bo13b2o$7b2o12bobo$8bo13bo2$2bo13bo$bobo12b2o$b2o13bo6b2o$9b
3o11b2o$10bo2$4b2o13b2o$3bobo13bo$3bo10bo5b3o$2b2o9bobo6bo$8b2o4b2o$8b
2o!

Re: Oscillator Discussion Thread

Posted: July 16th, 2022, 4:33 am
by iNoMed
Here's a miscellaneous p1 monomer stabilisation for the p146 Pi hassler, too bad its minpop of 66 doesn't exactly beat the 62-cell minpop of the dimer:

Code: Select all

x = 32, y = 24, rule = B3/S23
22b2o$22bo2b2o$23b2ob3o$29bo$23b2ob3o$13b2o8b2obo$8b2o2bobo$8b2o3bo16b
2o$30bo$2bo25bobo$2b3o23b2o$5bo$4b2o5$11b3o$2b2o7bo2bo$bobo10bo$bo24b
2o$2o10b3o11bo$13bo13b3o$29bo!

Re: Oscillator Discussion Thread

Posted: July 16th, 2022, 9:24 pm
by rattlesnake
Hey has anyone noticed these oscillators?

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 7 ]]
x = 9, y = 11, rule = B3/S23
4b2o$5bo$4bo$2obob3o$2obo4bo$3bo2b3o$3bo$4b5o$8bo$6bo$6b2o!

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 9 ]]
2o$o2bob2o$2b2obobo$8bo$6b3o$b2o6b2o$bo2bob2obo$3b2obo2bo$7b2o!

Re: Oscillator Discussion Thread

Posted: July 16th, 2022, 9:31 pm
by carsoncheng
rattlesnake wrote:
July 16th, 2022, 9:24 pm
Hey has anyone noticed these oscillators?

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 7 ]]
4b2o$5bo$4bo$3bob3o$3bo4bo$2obo2b3o$2obo$4b5o$8bo$6bo$6b2o!

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 9 ]]
2o$o2bob2o$2b2obobo$8bo$6b3o$b2o6b2o$bo2bob2obo$3b2obo2bo$7b2o!
The p7 oscillator you mentioned is the burloaferimeter, discovered in 1972. At 28 cells, it is the one of the smallest period-7 oscillators.
The p9 oscillator you mentioned is the 29P9, discovered in 1997. At 29 cells, it is the smallest period-9 oscillator.

I guess you directly retrieved these oscillators from the wiki, but it's good to know the origins of the oscillators just in case you don't.

Re: Oscillator Discussion Thread

Posted: July 16th, 2022, 9:42 pm
by rattlesnake
carsoncheng wrote:
July 16th, 2022, 9:31 pm
rattlesnake wrote:
July 16th, 2022, 9:24 pm
Hey has anyone noticed these oscillators?

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 7 ]]
4b2o$5bo$4bo$3bob3o$3bo4bo$2obo2b3o$2obo$4b5o$8bo$6bo$6b2o!

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 12 AUTOSTART LOOP 9 ]]
2o$o2bob2o$2b2obobo$8bo$6b3o$b2o6b2o$bo2bob2obo$3b2obo2bo$7b2o!
The p7 oscillator you mentioned is the burloaferimeter, discovered in 1972. At 28 cells, it is the one of the smallest period-7 oscillators.
The p9 oscillator you mentioned is the 29P9, discovered in 1997. At 29 cells, it is the smallest period-9 oscillator.

I guess you directly retrieved these oscillators from the wiki, but it's good to know the origins of the oscillators just in case you don't.
This is different from the oscillators on the wiki. The oscillators that I have put here are stator variants with a smaller bounding box.

Re: Oscillator Discussion Thread

Posted: July 16th, 2022, 11:23 pm
by toroidalet
Welcome to the forums! Those variants look new, but an 11*9 burloaferimeter variant was already known and referenced on the wiki (though inexplicably only mentioned in a throwaway link):

Code: Select all

x = 11, y = 9, rule = B3/S23
4b2ob2o$5bobo2bo$3bobobob2o$b3o3bo$o6bo$b6o2$3b2o$3b2o!
By the way, it's better to use [ code ] [ /code ] tags rather than viewers, for future reference.

Re: Oscillator Discussion Thread

Posted: July 17th, 2022, 4:03 am
by rattlesnake

Code: Select all

#C [[ THEME Inverse GPS 3 ZOOM 16 ]]
x = 20, y = 11, rule = B3/S23
4b2o9bo$5bo8bobo$4bo9bobo$2obob3o3b2obob2o$2obo4bo2b2obo4bo$3bo2b3o5b
o2b3o$3bo10bo$4b5o6b5o$8bo10bo$6bo10bo$6b2o9b2o!
They are actually different stator variants.

Re: Oscillator Discussion Thread

Posted: July 17th, 2022, 5:01 am
by iNoMed
Here's a miscellaneous (And probably useless?) p44 Pi hassler variant, a hybrid between an unusual spark-assisted stabilisation and the usual blinker-based endcap:

Code: Select all

x = 40, y = 27, rule = B3/S23
21bo3b2o3b2o$19b3o4bo4bo$8bo9bo6bo3bo$5bo3b2o7b2o5b2o2b2o$4bob2o19bobo
2bo$5bobob2o16bo3b2o$5b2o2b2o17bo$3bo5bo17b2o$4bob3o$4bob2o24b3o2$16b
2o4b2o12b2o$2o13bobo4bobo11bobo$bo13bo8bo13bo$bobo11bobo4bobo13b2o$2b
2o12b2o4b2o2$5b3o24b2obo$31b3obo$11b2o17bo5bo$11bo17b2o2b2o$7b2o3bo16b
2obobo$7bo2bobo19b2obo$9b2o2b2o5b2o7b2o3bo$10bo3bo6bo9bo$8bo4bo4b3o$8b
2o3b2o3bo!

Re: Oscillator Discussion Thread

Posted: July 17th, 2022, 9:33 am
by hotdogPi
In this post, I made an update to jslife's p12 collection simply by reducing huge sparkers. Here is the same with the p18 collection. Like the p12 collection, no new oscillators were added; it's just reductions to existing ones.

Code: Select all

x = 233, y = 145, rule = B3/S23
43bo58b2o$2o5b2obo30b3o57bo2bo$bo5bob2o29bo27bo7bo25bobo$o4b2o4b2o27b
2o27b2o3b3o21b2o3bo38bob2o4b2obo14b2o26b2o$2o3bo5bo55b2o4bo25bob2o39b
2o2bo2bo2b2o13bo2bo24bo2bo$6bo5bo56bo3b2o26bo38b2o3bo4bo3b2o11bo27bo$
2o3b2o4b2o88bo37bo3b2ob4ob2o3bo10bo27bo$bo5b2obo26b3o77b2o21b3obobo2bo
bob3o11bobo3bo21bobo3bo$o6bob2o26bobo32b2o33bo8bo2bo22bobobo2bobobo14b
obo3bo21bobo3bo$2o3b2o4b2o24bo2bo32bo8b2o18bo3bobo5bo2bobo25b2o2b2o18b
o4bo3b2o17bo4bo3b2o$5bo5bo27b2o11b2o7bo9b3o8bo17b4ob2ob2o3bo4bo26b2o2b
2o19b4o4b2o18b4o4b2o$2o4bo5bo39bo6bobo18bobo16b2o3bobo2bo3bo$bo3b2o4b
2o19b3o15bobo7bobo12b3o2b2o16bo3b2o2b2ob2o4b3o$o6b2obo21bo10b2o5b2o8bo
14bobo21b4o4bobo67b2o26b2o$2o5bob2o21b2obo7bob2o20bo7bo24bo7bo32b2o34b
obo25bobo$27b2o5b2o10bo18bobo14bo8b2o8bo7bo31b2o36bo27bo$26bobo15b3o
14b2o2b3o12bobo7bo2bo6bobo4b4o34b2o30b3o25b3o$26bo33bobo18bobo6bobobo
4b2ob2o2b2o3bo33bo$25b2o11b2o20bo8b3o9bo9bo2b3o3bo2bobo3b2o34b3o2b2o
28b3o25b3o$38bo2bo17b2o8bo30b2ob2ob4o40b2o28bo27bo9b2o$39bobo27b2o22b
2o6bobo3bo72bobo25bobo7b2o$39b3o51bo8bo78b2o26b2o2$68b2o3bo34bo108b2o$
69bo4b2o32bo32b2o4b2o31b2o4b4o18b2o7bobo$37b2o27b3o3b2o33b2obo28b3ob4o
b3o29b2o3bo4bo17b2o9bo$38bo27bo7bo31bo3b2o26bo12bo33bo3bobo25b3o$35b3o
67bobo31b8ob2obo34bo3bobo$35bo69bo2bo40b2o41bo27b3o$106b2o33b2ob4o44bo
27bo$140bo3bo3b3o38bo2bo27bobo$140bobob4o3bo38b2o29b2o$139b2ob2obo3b2o
$147bobo$147bobo70b2o4b4o$145bobob2o69b2o3bo4bo$145b2o78bo3bobo$226bo
3bobo$232bo$55b2o175bo$56bo172bo2bo$54bo42b2o131b2o$30b2o20b4o41bobo$
29bo2bo18bo4bo42bo$28bobobo17bob5o38b4ob2o2b2o$28bobob2o16bo2bo3b2o36b
o4bobo2bo$26b2obobo9b2o6b2obob3o2bo33b2o2bo2bob2o$26bo2bob2o2b2o3bobo
9bobobob2o32bo2b2o3bobo$23b2obobobo9bobo3b2o2b2obo2bo34bob2o2bob2obo$
23bo2b3obob2o6b2o9bobob2o34bo4bo4bo$24b2o3bo2bo16b2obobo30bo6b3obob3o
6bo33b2o26b2o18b2o34b2o$26b5obo17bobobo29bobo7b5o7bobo32bo28bo18bo36bo
$26bo4bo18bo2bo30bobo19bobo34bo24bo22bo32bo$27b4o20b2o29b2o2b2o17b2o2b
2o31b4o20b4o20b4o28b4o$28bo54bobo21bobo31bo4bo18bo4bo18bo4bo26bo4bo$
26bo55bo2b3o6bo3bo6b3o2bo30b5obo16bobobobo18b5obo24bob5o$26b2o54bobo3b
o15bo3bobo28b2o6bo16bobo4b2o14b2o6bo24bo6b2o$83bob3obo13bob3obo28bo2bo
bobob2o14b2o4b2o2bo12bo2bobobob2o22b2obobobo2bo$85bo3b2o11b2o3bo29bobo
bobobo2bo6b2o5bo2bobo2bobobo10bobobobobo2bo6b2o6b2o6bo2bobobobobo$85bo
3b2o4b3o4b2o3bo29bobobo2bob2o7bo2bo2b3o3bo2bobobo10bobobo2bob2o7bo2bo
2bo2bo7b2obo2bobobo$83bob3obo5b3o5bob3obo28bo2b2obo3bo7b3o3bo2bobob2o
2bo12bo2b2obo3bo7b3o2b3o7bo3bob2o2bo$82bobo3bo7bo7bo3bobo28b2o2bobob2o
8bo5b2obobo2b2o14b2o2bobob2o8bo4bo8b2obobo2b2o$82bo2b3o17b3o2bo30bobob
obo16bobobobo18bobobobo24bobobobo$83bobo21bobo31bobobobo16bobobobo18bo
bobobo24bobobobo$82b2o2b2o7b3o7b2o2b2o28b2o2bobob2o5bo8b2obobo2b2o14b
2o2bobob2o5bo10bo5b2obobo2b2o$84bobo19bobo29bo2b2obobo2bo3b3o7bo3bob2o
2bo12bo2b2obobo2bo3b3o8b3o3bo2bobob2o2bo$84bobo7bobobo7bobo28bobobo2bo
3b3o2bo2bo7b2obo2bobobo10bobobo2bo3b3o2bo2bo6bo2bo2b3o3bo2bobobo$85bo
6b3obob3o6bo29bobobo2bobo2bo5b2o6bo2bobobobobo10bobobo2bobo2bo5b2o6b2o
5bo2bobo2bobobo$24b2o65bo3bo5bo36bo2b2o4b2o14b2obobobo2bo12bo2b2o4b2o
22b2o4b2o2bo$25bo65bob2o2b2obobo36b2o4bobo16bo6b2o14b2o4bobo24bobo4b2o
$23bobob2o63bo2b2o2b2obo38bobobobo16bob5o18bobobobo24bobobobo$22bobobo
bo3b2o59b2o2bo4b2o37bo4bo18bo4bo18bo4bo26bo4bo$22bobo8bo61bo2bobobo2bo
36b4o20b4o20b4o28b4o$21b2obo8bob2o58b4ob2o2b2o37bo24bo22bo32bo$24bob2o
4b2obo63bo41bo28bo18bo36bo$24bob2o7bo61bobo41b2o26b2o18b2o34b2o$21b2ob
o3bo3b3ob2o59b2o$21bo2b2o2bo2bo2bobo$23bo2bob4obo2bo$24b2obo4b2obo$27b
o2bo3bo$27bobob3o$28b2obo8$117bo85bo$108bo7bobo83bobo$73bo34b3o5bobo
83bobo$71b3o37bo3b2o2b2o80b2ob2o$70bo5bo33b2o5b2o2bo79bo5bo$69bob6o33b
ob4o3b3o80bobob4o$30b2ob2o34bobo39bo2bo2b2o78bo2bobobo5bo$30bo3bo33b2o
4b3o38bo3bo77b4obo2b2o2b2o$31b3o36bo2bo2bo38bobobo82b2o3bo$57b2o3b2o6b
ob4o7b2o3b2o106bob2obo5bob2o$29b7o21bobobobo7b3o9bobobobo19bo6b3o6bo
70b2obob3obob2obo$29bo2bo2bo23bobo23bobo19b3o15b3o77b2o$23bo17bo12bo
11bo13bo11bo13bo3b2o11b2o3bo71b4o4b2o$19b2obob2obo9bob2obob2o6bo2bobo
5bobo2bo9bo2bobo5bobo2bo10bob2o3bo9bo3b2obo69bo2bob2obo2bo$19b2obo3bob
o7bobo3bob2o6bo3b2o5b2o3bo9bo3b2o5b2o3bo10bobo3b2o9b2o3bobo69b2o4bo3b
2o$22bo4bo9bo4bo9bo2bobo5bobo2bo9bo2bobo5bobo2bo9b2obo2b3o9b3o2bob2o
64bo9bo$22b2o7b3o7b2o11bo11bo5b3o5bo11bo14bobobo4b3o4bobobo66bobo5b2o
8b2o2b2ob2o$31b3o25bobo10b3o10bobo19bobobo4b3o4bobobo67bo6b3o7bobo2bob
obo$26b2o4bo4b2o18bobobobo9bo9bobobobo16b2ob2o6bo6b2ob2o76b3o6bobo4bo$
26b2o9b2o18b2o3b2o19b2o3b2o103b5o4b2o8bobob3o2b2o$66b2o11b2o111bo4bo6b
obo5bo2bo3bobo$27bo9bo30bob2o3b2obo112bob2o10bo3b2o2bo3bobo3bo$26bobo
7bobo25bo2bo2b2o3b2o2bo2bo33b5o67bo2bobo11b2ob3ob2o3bobobob3o$21b2o2bo
2bo7bo2bo2b2o20bobo13bobo32b2o4bo65bobobo9bo6b3obobobo9bo$21b2obo15bob
2o21bo15bo32bo6b3o57b2o5bo2bo4b3o3b2o10bobob4ob3o$25b2o11b2o72b3obo7bo
53b2o2bo8b2o3b2o3b2o11bob2o4b2o$65b2o13b2o29bo4bob5o2bo53bobo14bo15bob
o4b2o$65b2o13b2o30b4obo4b3o54bob2o2b2o25b2o2b2obo$115bobob2o57b2o4bobo
14b2o14bobo$114bo4bob2o52b2o4b2obo10bobo2bo2bo2b2o8bo2b2o$114b3ob2o3bo
49b3ob4obob2o2b2obo4b2o2bobo4bo2bo5b2o$112b2o2bo2b2obo2bo46bo7bobobo3b
2obo4bo4bo5bobobo$111bo2b2obo2bobob2o47b3ob2o6bo3bo2bo11b2obo2bo$112bo
2bob3o2bo52bo3bo2b2ob3o2bo2b2o9bo2bo$113b2o7bo54bobo3bo6bobobo6bo4bo$
119b3o54b2o2b3o2bo4bo10b5o$76bo42bo57bo4bobo9b2o$76b2o99bobobo2bobo6b
3o7bo$178b2ob2o2b2o6b3o6bobo$25b2o41bo3bobo2b3o123bo$25b2o41bo3b4obo
110b2ob2ob2o2b2o$68bo3b2o114bo4b2o4bo$189b3o3b4o$24b3o12b4o149bo$24b2o
bo2b2o6bo4bo144bob2o3b3obob2o$26b2o2b2o5bobo3bo22b2o2b2o116b2obob2o2bo
b2obo$26b2o8bobo3bo23b2o2b2o119bo4bo$36bo26bobobo2bobobo113b2o2b3obob
4o$31bo4bo24b3obobo2bobob3o111bo7bobo2bo$31b2o3bo2bo20bo3b2ob4ob2o3bo
111b4obobo$31b2o4b2o22b2o3bo4bo3b2o114bo5bo$63b2o2bo2bo2b2o118b2ob2o$
31b2o30bob2o4b2obo119bobo$31b2o161bobo$195bo!

Re: Oscillator Discussion Thread

Posted: July 18th, 2022, 7:34 am
by carsoncheng
Partials, found using hotdogPi's one-spark and two-spark programs:

p36 (104P9 almost works):

Code: Select all

x = 33, y = 33, rule = B3/S23
12b2o$10b6o$10b6o$11b4o2$9bo$8bobo$7b2ob2o13bo$8bo2bo11b4o$8b2ob2o9b2o
3bo$9bobo9bo3b2o3b2o$10bo11b4o3b3o$23bo5b4o$29b4o$29b3o$30b2o2$b2o$b3o
$4o$4o5bo$b3o3b4o11bo$b2o3b2o3bo9bobo$5bo3b2o9b2ob2o$6b4o11bo2bo$7bo13b
2ob2o$22bobo$23bo2$18b4o$17b6o$17b6o$19b2o!
p71:

Code: Select all

x = 37, y = 34, rule = B3/S23
17bo$17b3o$20bo$19b2o7$25b3o$15bo2bo7b2o$18b2o3bo2b2o$23bo2b2o$18bo4b
o2b2ob2o3b2o$b2o9b2obo2bo5b4obobob3o$b3ob3o4b2obo6b2o2bo4bob4o$4obo4b
o2b2o6bob2o4b3ob3o$b3obobob4o5bo2bob2o9b2o$b2o3b2ob2o2bo4bo$9b2o2bo$9b
2o2bo3b2o$9b2o7bo2bo$9b3o7$16b2o$16bo$17b3o$19bo!
p73:

Code: Select all

x = 19, y = 36, rule = B3/S23
5b2o$6bo$6bobo$7b2o4$9b2o$11bo$5bo2bo$5bo11bo$17bo$5b2o2b6ob3o$6bo5b2o
2b2o$6bobobobo3b3o$7bo2b2o5bo$8b3o6bo3$bo6b3o$bo5b2o2bo$3o3bobobobo$b
2o2b2o5bo$3ob6o2b2o$bo$bo11bo$10bo2bo$7bo$8b2o4$10b2o$10bobo$12bo$12b
2o!
p99:

Code: Select all

x = 43, y = 45, rule = B3/S23
3bob2o4b2obo13bob2o4b2obo$3b2o2bo2bo2b2o13b2o2bo2bo2b2o$b2o3bo4bo3b2o
9b2o3bo4bo3b2o$o3b2ob4ob2o3bo7bo3b2ob4ob2o3bo$b3obobo2bobob3o9b3obobo
2bobob3o$3bobo6bobo13bobo6bobo$4b2o6b2o15b2o6b2o$5b8o17b8o$7b4o21b4o3$
10b2o19b2o$9b5o15b5o$8bo25bo$4bo2b4o2bo15bo2b4o2bo$4bob3obo5bo9bo5bob
3obo$7bo3bo3bobo7bobo3bo3bo$8b2obo3bobo7bobo3bob2o$10b2o4bo9bo4b2o8$10b
2o4bo9bo4b2o$8b2obo3bobo7bobo3bob2o$7bo3bo3bobo7bobo3bo3bo$4bob3obo5b
o9bo5bob3obo$4bo2b4o2bo15bo2b4o2bo$8bo25bo$9b5o15b5o$10b2o19b2o3$7b4o
21b4o$5b8o17b8o$4b2o6b2o15b2o6b2o$3bobo6bobo13bobo6bobo$b3obobo2bobob
3o9b3obobo2bobob3o$o3b2ob4ob2o3bo7bo3b2ob4ob2o3bo$b2o3bo4bo3b2o9b2o3b
o4bo3b2o$3b2o2bo2bo2b2o13b2o2bo2bo2b2o$3bob2o4b2obo13bob2o4b2obo!
p144 (flipper):

Code: Select all

x = 34, y = 34, rule = B3/S23
24bo$22b3o$21bo$21b2o$12b2o5$32b2o$32bo$9bo20bobo$4bo3b3o19b2o$4bo2b5o
11bo$6bobo3bo8bobo$6b2o3$26b2o$10bobo8bo3bobo$10bo11b5o2bo$2b2o19b3o3b
o$bobo20bo$bo$2o5$20b2o$11b2o$12bo$9b3o$9bo!
I guess some of them are known, but I don't see them in hotdogPi's partial stamp collection.

Re: Oscillator Discussion Thread

Posted: July 18th, 2022, 3:08 pm
by Kazyan
p146 PI Hassler #2:

Code: Select all

x = 43, y = 25, rule = B3/S23
14b2o5b2o$9b2o3b2o5b2o3b2o$b2o6b2o15b2o6b2o$2bo31bo$2bobo27bobo$3b2o
27b2o3$18bo$17b3o13b2o$bo14b2ob2o12b2o$obo$2o39b2o$40bobo$41bo5$9b2o
27b2o$8bobo27bobo$8bo31bo$7b2o6b2o15b2o6b2o$15b2o3b2o5b2o3b2o$20b2o5b
2o!

Re: Oscillator Discussion Thread

Posted: July 19th, 2022, 5:42 am
by carsoncheng
Crossposting from Discord, here is a p20 honey farm hassler by mvr:

Code: Select all

x = 36, y = 36, rule = B3/S23
18b2o$18b2o4$9b2o16b2o$10bo16bo$5bo4bobo12bobo$5b3o3b2o4bo7b2o$8bo7bob
o11bo$7b2o7bob2o8b3o$17b2o8bo$27b2o4$2o8bo14b2o$2o7b3o12bo2bo$8bo2bo
12b3o7b2o$9b2o14bo8b2o4$7b2o$8bo8b2o$5b3o8b2obo7b2o$5bo11bobo7bo$9b2o
7bo4b2o3b3o$8bobo12bobo4bo$8bo16bo$7b2o16b2o4$16b2o$16b2o!

Re: Oscillator Discussion Thread

Posted: July 20th, 2022, 7:47 pm
by HotWheels9232
It the rotor known??

Code: Select all

x = 13, y = 13, rule = B3/S23
7b2o$7bo2b2o$8bobo$7b2obo$6bo2bob2o$6b2o3bo$4b2obo3bo$2obob2ob3o$ob2o
3bo$4bo2bob2o$b3o3bob2o$bo2b3o$4bo!
Found with rlifesrc and stator reductions are welcome.
Edit 1:5:31 PM:
Another one:

Code: Select all

x = 13, y = 13, rule = B3/S23
11b2o$10bobo$9bo$8bob2o$8bo3bo$6b2ob3o$5bobo$5b3obo$3b2o4bo$2bo2bob2o$
bobobo$o2bobo$2o2bo!

Re: Oscillator Discussion Thread

Posted: July 21st, 2022, 2:50 am
by iNoMed
Updated collection of oscillators where volatility matches strict volatility (Including a p20 honey farm hassler, p60 skewed pulsar hassler and p74 pi hassler):

Code: Select all

x = 814, y = 492, rule = B3/S23
607b2o3b2o3$598b2o21b2o$598b2o21b2o132b2o16b2o$756bo16bo$595b2o27b2o
130bobo12bobo$595b2o9b2o5b2o9b2o131b2o12b2o$198b2o6bo30b2o362b3ob2o7b
2ob3o$2o3b2o155b2obo5b2o25bo6bobo29b2o121b2obo4b2o3b2o28bo158bob2o5b2o
27bobo15bobo101b2obo6b2obo18b2o18b2o$2o3b2o155bob2o6bo17b2o3b2obo7bo
153bob2o4b2o3b2o26b3o158b2obo6bo27b2o17b2o101bob2o6bob2o18bobo10b2o4bo
bo$166b2o3bo18bo4bobo35bo130b2o25b2o7bo159b2o9bo28bo19bo99b2o4b2o2b2o
4b2o17bo10bobo5bo$2o3b2o159bo4b2o18b3obo16b2o18bobo129bo3b2o3b2o17bo7b
2o159bo9b2o147bo5bo3bo5bo15bo13b2o9bo$obobobo160bo25bob2o14bo2bo18bo
131bo2bobobobo17bobo165bo39bo19bo100bo5bo3bo5bo14b6o8bo5b6o$2bobo25b2o
3b2o129b2o3b2o38b3o150b2o4bobo20b2o165b2o9b2o26b2o19b2o98b2o4b2o2b2o4b
2o19bo14bo$b2obo26bobobo126b2obo6bo39bo24b3ob2o117b2obo5b2obo189bob2o
6bo19bo6bo21bo6bo93b2obo4bo5bo17b2o18b2o$5b2o24b2ob2o126bob2o5bo27bo
36bo3bo2bo116bob2o9b2o13b2o172b2obo5bo20bo35bo93bob2o5bo5bo16bo20bo$6b
o24bobobo124b2o9b2o25b3o35bo2bo3bo120b2o8bo14bo176b2o3b2o153b2o2b2o4b
2o17bo18bo$5bo24b2o3b2o123bo36bo2bo14b2obo18b2ob3o121bo8bo15bobo175bo
158bo3bo5bo15b3o2bo14bo2b3o$5b2o154bo9b2o25b2o16bob3o144bo7b2o15b2o
174bo4b2o154bo3bo5bo14bo2b3o8bo5b3o2bo$6bo153b2o10bo41bobo4bo24bo117b
2o8bo22b3o13b2o151b2o4bo19bo35bo97b2o2b2o4b2o15bo12b2o8bo$5bo156b2obo
5bo33bo7bob2o3b2o23bobo112b2obo9bo22bo3bo12bo148bob2o5bo20bo6bo21bo6bo
93b2obo6b2obo18b2o10bobo5b2o$5b2o155bob2o5b2o31bobo6bo32bo113bob2o9b2o
21b2ob2o10bobo148b2obo5b2o26b2o19b2o100bob2o6bob2o20bo10b2o4bo$205bo6b
2o197b2o187bo19bo133b2o18b2o$241b2o508bo2bo20bo2bo$241b2o147b2o208bo
19bo129bobobo2b2o12b2o2bobobo$389bobo10b2ob2o193b2o17b2o130bo2bobobo
12bobobo2bo$389bo12bo3bo193bobo15bobo133bobo16bobo$388b2o13b3o195b3ob
2o7b2ob3o135b2o16b2o$411b2o182b2o9b2o5b2o9b2o$411bobo181b2o27b2o$413bo
$413b2o183b2o21b2o$598b2o21b2o$408b2o$408bobo$401b2o7bo196b2o3b2o$402b
o7b2o$399b3o$399bo$759bo$757b3o$756bo$756b2o5$202b2o51b2o13b2o$2b2obo
156b2obo6b2obo25bobo51bo15bo290bob2o4b2o3b2o19bo125b2obo4b2o$2bob2o
156bob2o6bob2o17bo5bo4bo51b3o9b3o291b2obo4b2o3b2o19b3o7b2o114bob2o5bo
45bo$2o164b2o8b2o13b2ob2o2b2obobo14b2o38bo9bo291b2o37bo6b2o112b2o4b2o
2bo44b3o$o31b2o132bo9bo14bo7bo3bo15bo341bo8b2o3b2o21b2o120bo5bo3b2o13b
2o27bo$bo30b2o133bo9bo14bobo24bobo13b3o23bo3bo294bo9bobobobo144bo5bo
17b2o27b2o$2o164b2o8b2o42b2o3bo8bo3bo21bobobobo293b2o10bobo16b2o22b2o
103b2o4b2o2b2o$2b2obo26bo129b2obo6b2obo17b3o7bo20bob2o6bo4bo16b3obobob
obob3o291bob2o5b2obo17bo22bo10b2o94b2obo5bo27b3o$2bob2o25bobo128bob2o
6bob2o18bo7b3o18bo4bo6b2obo22bo3bo296b2obo9b2o15bobo10b3o5bobo10bo95bo
b2o4bo30bo$2o4b2o23bo2bo2b2o121b2o8b2o52bo3bo8bo3b2o323b2o8bo16b2o10bo
7b2o12bo98b2o2b2o29bo18bo$o5bo28bob2o121bo9bo32bobo19b3o13bobo211b2o
110bo7bo29b2o19b2o98bo30bob2o17b3o$bo5bo25b2o126bo9bo22bo3bo7bo36bo
116b2obo6b2obo36b2o43bo110bo8b2o150bo2b2o15b2o7b2o19bo$2o4b2o152b2o8b
2o22bobob2o2b2ob2o36b2o13bo9bo91bob2o6bob2o27bo7bobo41bobo110b2o8bo
149b2o3bo14bobo28b2o4b2o$2b2obo156b2obo6b2obo17bo4bo5bo51b3o9b3o93b2o
2b2o29b3o8bo42b2o107bob2o9bo146b2obo4bo15bo36bo$2bob2o156bob2o6bob2o
18bobo58bo15bo92bo3bo29bo51bo111b2obo9b2o145bob2o4b2o13b2o4b2o28bobo$
194b2o59b2o13b2o93bo3bo28b2o50bo301bo19b2o7b2o$364b2o2b2o35bo35bobo6bo
145b2o19b2o130b3o17b2obo$360b2obo6b2obo31bobo32bo3b2o7b2o141bo12b2o7bo
10b2o118bo18bo$360bob2o6bob2o32b3o3b2o26bo3bo8bobo141bo10bobo5b3o10bob
o136bo$364b2o8b2o14b2o20b2o26bo14bo140b2o10bo22bo136b3o$364bo9bo15b2o
3b3o26b2o29b2o150b2o22b2o$365bo9bo20bobo26bo14bo313b2o27b2o$364b2o8b2o
22bo26bobo8bo3bo183b2o129bo27b2o$360b2obo6b2obo30b2o20b2o7b2o3bo175b2o
6bo127b3o$272b2o86bob2o6bob2o31bo24bo6bobo176b2o7b3o124bo$235b2o18b2o
12b2o2bo119bo8b3o25bo196bo$200bo33bo2bo2b2o8b2o2bo2bo11bo3bob2o115bobo
7bo27bo$200b3o32b2o2bobo8bobo2b2o14bobob2o5b2o108b2o32b2o$203bo17bo15b
2o14b2o15b2ob2o7bo142bobo$202b2o15b3o15bo16bo14bo3bo6bobo142bo$218bo
15b2obo6bo9bob2o9bo2bobo3bo3b2o142b2o$207bobo8b2o14bo2bob2o3b2o5b2obo
2bo9b2obo6bo494b2o$209bo26b2ob2o3bo7bob2o14bo7bo494bo$270b2o5bo492b3o$
207b2o5bo59b3o4b2o487bo$207bo5b2o67bo$236b2ob2o3bo7bob2o26bob2o$212bo
21bo2bob2o3b2o5b2obo2bo13b2o8b2o2bo$202b2o8bobo19b2obo6bo9bob2o12bobo
5b2o3bo$203bo33bo16bo15bo6bobob2o$200b3o15b2o17b2o14b2o14b2o5bo2bobo
316bo25bo$2b2obo194bo17bo16b2o2bobo8bobo2b2o19b2obo3bo278bob2o6bob2o
21bobo23bobo$2bob2o213b3o12bo2bo2b2o8b2o2bo2bo21bo2b2o278b2obo6b2obo
22bo25bo$2o4b2o213bo13b2o18b2o22b2o279b2o8b2o31bo15bo$o5bo554bo9bo24b
5o2b3o11b3o2b5o$bo5bo28b2o522bo9bo24bo4bo5bo9bo5bo4bo$2o4b2o26bob2o
522b2o8b2o22bo2bo7b2o9b2o7bo2bo$2b2obo27bo528bob2o6bob2o15bo2bob2o27b
2obo2bo$2bob2o30bo525b2obo6b2obo14bobobo5bo21bo5bobobo132bo7b2o$2o4b2o
24b2obo354b2o174b2o8b2o13bo2bo4bobo19bobo4bo2bo133b3o5b2o7bo$o5bo25b2o
357bo175bo9bo16b2o2bo2bo6bo5bo6bo2bo2b2o130bo8bo11b3o$bo5bo352b2obo6b
2obo17bobo172bo9bo18bo3b2o6b3o3b3o6b2o3bo94b2obo4b2o3b2o22b3o5b2o10bo$
2o4b2o352bob2o6bob2o18b2o172b2o8b2o16bo33bo93bob2o4b2o3b2o25bo16b2o$2b
2obo358b2o2b2o28bo163bob2o6bob2o19b3o27b3o92b2o4b2o33b2o$2bob2o358bo3b
o28b2o163b2obo6b2obo22bo25bo95bo5bo3b2o3b2o$365bo3bo28bo198bo2bo21bo2b
o95bo5bo2bobobobo$192b2o170b2o2b2o227b4o21b4o94b2o4b2o4bobo46b2ob2o$
192b2o166b2obo6b2obo348b2obo5b2obo16b2o28b2obo2bo$360bob2o6bob2o225b2o
21b2o98bob2o9b2o13bo2bo2b2o26bob2o$190b4o170b2o2b2o4b2o223bo23bo102b2o
8bo14b2o2bobo26bo$190bo2bo14b2o154bo3bo5bo20bo204bo21bo103bo8bo17b2o
28b2o$162b2obo4b2o3b2o31bo156bo3bo5bo19b2o202b2o3b2o11b2o3b2o103bo7b2o
16bo13bo12bobo2b2o$162bob2o4b2o3b2o29bobo155b2o2b2o4b2o19bo209bo11bo
108b2o8bo13b2obo12bobo11b2o2bo2bo$166b2o32bo5b2o152b2obo6b2obo26b2o
200b3o13b3o101b2obo9bo14bo2bob2o8bo3bo15b2o$166bo3b2o3b2o23b2o158bob2o
6bob2o26bobo199bo17bo101bob2o9b2o15b2ob2o8bo3bo$167bo2bobobobo15b3o6b
2o199bo362bo3bo$166b2o4bobo18bobo4b2o200b2o362bobo$162b2obo5b2obo19b2o
571bo7b2o$162bob2o9b2o580b2o16bo$160b2o14bo17b2o562bo10b2o5b3o$160bo
14bo17bobo4b2o553b3o11bo8bo$161bo13b2o15b3o6b2o552bo7b2o5b3o$160b2o14b
o23b2o561b2o7bo$162b2obo9bo24bo5b2o$162bob2o9b2o29bobo$208bo$190bo2bo
14b2o$190b4o$605bo$192b2o409b3o$192b2o408bo$2b2obo556bob2o6bob2o26b2o
6b2o$2bob2o556b2obo6b2obo34bo$2o4b2o24b2o526b2o8b2o4b2o30bobo8b2o$o5bo
26bo2bo2bo521bo9bo5bo30b2o9b2o$bo5bo23bo4b4o520bo9bo5bo$2o4b2o23b2o
527b2o8b2o4b2o$2b2obo30b2o524bob2o6bob2o24b2o$2bob2o25b2obo2bo524b2obo
6b2obo23bobo$6b2o22bobobobo529b2o2b2o4b2o21bo$6bo23bo3b2o531bo3bo5bo
21bobo$7bo23b3o326b2obo6b2obo192bo3bo5bo23b2o118b2o5b2obo6b2obo19b2o
48b2o$6b2o25bo326bob2o6bob2o19b3o30b3o137b2o2b2o4b2o143bo5bob2o6bob2o
20bo48bo$2b2obo233bo124b2o2b2o4b2o186bob2o6bob2o144bo4b2o4b2o2b2o4b2o
18bobo21b2o21bobo$2bob2o223b2o7bobo123bo3bo5bo16bo5bo2b2o18b2o2bo5bo
131b2obo6b2obo41b2o101b2o3bo5bo3bo5bo20b2o8bo12b2o12b2o7b2o$230bo7bobo
124bo3bo5bo15bo4b2o4bo16bo4b2o4bo186bobo106bo5bo3bo5bo28b2o26bobo$230b
obo3b2obo8b2o114b2o2b2o4b2o15bo11bo14bo11bo188bo100b2o3b2o4b2o2b2o4b2o
27b2o29bo$231b2o2bo3bobobo4bo111b2obo6b2obo28b2o14b2o197bobo101bo3bo5b
o3bo5bo29b2o2b2o22b3o$208bo27bobobob2o5bo19bo90bob2o6bob2o243b2o101bo
5bo5bo3bo5bo$191b2o13b3o25bobobobo3b2o2b2o19b3o92b2o2b2o4b2o344b2o3b2o
4b2o2b2o4b2o$190bo2bo2b2o7bo28b2o3b2o3bobo25bo91bo3bo5bo16b2o36b2o294b
o5bo3bo5bo$162b2obo6bob2o15b2o2bobo7b2o39bob4o19bo93bo3bo5bo16bo36bo
168b2o9b2o109b2o4bo5bo3bo5bo28b2o2b2o22b3o$162bob2o6b2obo17b2o50b2obo
2bo19bo2bo89b2o2b2o4b2o13b3o38b3o165b2o8bobo110bo3b2o4b2o2b2o4b2o27b2o
29bo$166b2o2b2o21bo57bob2obo103b2obo6b2obo15bo42bo175bo111bo6b2obo6b2o
bo30b2o26bobo$166bo4bo18b2obo9bo46b2obob2o18b2o83bob2o6bob2o233b2o6b2o
103b2o5bob2o6bob2o21b2o8bo12b2o12b2o7b2o$167bo2bo19bo2bob2o5b2o4b2o66b
o339bo144bobo21b2o21bobo$166b2o2b2o20b2obo7bo4b2o23bo16b3o21bobo336b3o
145bo48bo$162b2obo6bob2o57bobo14bo2bo19b2o338bo146b2o48b2o$162bob2o6b
2obo50b2o6b3o6b3o6b2o29b2o$160b2o14b2o48bo2bo14bobo34bobo$160bo16bo14b
2obo7bo23b3o16bo34bo$161bo14bo13bo2bob2o5b2o77b2o$160b2o14b2o12b2obo9b
o19b2obob2o$162b2obo6bob2o17bo13b2o14bob2obo54bo2bo$162bob2o6b2obo17b
2o12bobo18bo2bob2o51bo$191b2o2bobo11bo18b4obo51bo$190bo2bo2b2o2b2o7b2o
22bobo3b2o3b2o40b3o$191b2o8bo28b2o2b2o3bobobobo42bo$195bob4o29bo5b2obo
bobo370b2o$195b2obo32bo4bobobo3bo2b2o365bo2b2o33b2o$230b2o8bob2o3bobo
365b2ob3o25b2o4b2o$2o5b2obo228bobo7bo312b2obo6b2obo34b2o9bo17bo6bobo9b
2o$bo5bob2o26b2o200bobo7b2o311bob2o6bob2o33bo2bo2b2ob3o18b3o5bo10bo$o
4b2o4b2o24bo2bo199bo319b2o8b2o4b2o34bo2b2obo23bo13bobo$2o3bo5bo21bo4bo
3bo517bo9bo5bo35bo28b2o13b2o$6bo5bo21b2o3bob2o518bo9bo5bo16bo15bobo$2o
3b2o4b2o547b2o8b2o4b2o15bobo13bo2bo38bo113b2o32b2o$bo3bo5bo18b2obo3b2o
523b2obo4bo5bo16bobo14b2o4bo20b2o11b3o112b2o32b2o$o5bo5bo17bo3bo4bo
522bob2o5bo5bo14b2ob2o18bobo19b2o6bo13b2o$2o3b2o4b2o19bo2bo361b2o161b
2o4b2o2b2o4b2o14bo8bo14bo27b2o12bobo$5bo5bo22b2o360bobo161bo5bo3bo5bo
16bob2o3bobo42bo13bo124b2o$2o4bo5bo347b2obo6b2obo22bo164bo5bo3bo5bo13b
obob2o4bo118b2o3b2obo6b2obo21b2o4b2o18bo11b2o4b2o$bo3b2o4b2o347bob2o6b
ob2o17bob2ob2o162b2o4b2o2b2o4b2o13b2o46bo13bo67bo3bob2o6bob2o21b2o3bob
o16b3o10bo2bo3b2o$o6b2obo353b2o2b2o4b2o15b2obo167b2obo6b2obo23bo38bobo
12b2o65bo8b2o2b2o4b2o24b3o13bo16bobo$2o5bob2o353bo3bo5bo19bo167bob2o6b
ob2o22bobo37b2o13bo6b2o58b2o7bo3bo5bo38b3ob2o15bo$365bo3bo5bo18b2o27b
2o169b2o2bo2bo44b3o11b2o68bo3bo5bo37bo3b2o$272b2o90b2o2b2o4b2o47b2o
169b2o3b2o46bo72b2o7b2o2b2o4b2o22bo20bo17bo$271bobo86b2obo6b2obo234bo
5bo4b2o3b2o95bo3b2obo4bo5bo22bobo14bo3bo17bobo$266b2o2bo89bob2o6bob2o
233b2o5b2o2bo2bo2b2o15b2o13b2o62bo4bob2o5bo5bo21b2o16b4o18b2o$266bo2bo
b2o91b2o8b2o232bo5bo4bobo18bobo13bo63b2o7b2o2b2o4b2o$268b2obobo90bo9bo
35b2o3b2o203bo19bo10bo5b3o69bo3bo5bo22b2o16b4o18b2o$162b2obo6b2obo26b
2o11b2o55bo92bo9bo34bobo2b2o9bo200b2o10b2o9bobo6bo60b2o8bo3bo5bo21bobo
14bo3bo17bobo$162bob2o6bob2o26b2o3bo3bo3b2o147b2o8b2o35bo206bo4b2obobo
16b2o4b2o68bo7b2o2b2o4b2o22bo20bo17bo$166b2o2b2o35bo3bo148b2obo6b2obo
14b2obo6b3o24bo2bo6b2obo178bobo3b2obo18b2o73bo4b2obo6b2obo39bo3b2o$
166bo3bo36bo3bo148bob2o6bob2o14bob2o6bo2bo24b3o6bob2o164bo14bo8bo92b2o
3bob2o6bob2o39b3ob2o15bo$167bo3bo29bo15bo51b2o144bo186bobo3bo14b2ob2o
137b3o13bo16bobo$166b2o2b2o28bobo13bobo49bo2bo128bo9b2o2bobo186bo3bobo
14bobo133b2o3bobo16b3o10bo2bo3b2o$162b2obo6b2obo25bo4bo5bo4bo51bobo
138b2o3b2o189bo2bo14bobo133b2o4b2o18bo11b2o4b2o$162bob2o6bob2o29b3o3b
3o55bobo335b2o16bo158b2o$160b2o8b2o4b2o92bo4b2o$160bo9bo5bo79bo18bobo
323bob2o$161bo9bo5bo17bo27bo30b3o20bo124b2o195b3ob2o3b2o155b2o32b2o$
160b2o8b2o4b2o16bobo25bobo28bo23b2o123b2o27b2o165bo9b2o155b2o32b2o$
162b2obo6b2obo14b2o3bo27bo3b2o24b2o177bo166b3ob2o$162bob2o6bob2o14b2o
35b2o42bobo158bob2o165b2o2bo$206b2o3b2o27b2o2bo13b2o12b2o155b2ob2obo
168b2o$197bo9bo3bo9bo18bo2bobo13b2o11bo157bo$196b2o6bo9bo6b2o18bob2o5b
3o5bo169bobo$191b3o3bo6b2o7b2o6bo3b3o14bo6bo3bo174b2o$243b2o4bob2o$
244bo5bo$2o4b2obo54b2o176bo$bo4bob2o54bo2b2o122b3o3bo6b2o7b2o6bo3b3o
14b2o45b2o$o9b2o27bo25b2ob3o125b2o6bo9bo6b2o67bo$2o8bo27b2o31bo125bo9b
o3bo9bo60bo5bo$11bo25b2o26b2ob3o135b2o3b2o67b2obo4b2o$2o8b2o24bo28b2ob
o121b2o35b2o50bo3bo6bo$bo4b2obo25bob4o149b2o3bo27bo3b2o45bo5b3o5b2obo$
o5bob2o24bobo4bo152bobo25bobo35bo11b2o13bobo2bo$2o2b2o27b2obob2obo2b2o
11b2o3b2o131bo27bo35b2o12b2o13bo2b2o$4bo27b2o2bob2obob2o12b2o2bo2bob2o
191bobo333b2o$2o3bo30bo4bobo17bobo2b2o210b2o282b2obo4b2o3b2o18b2o123b
2o2b2o3b2o2b2obo$bo2b2o31b4obo19bo142b3o3b3o40b2o23bo282bob2o4b2o3b2o
144bo2b2o3b2o2bob2o31b2o$o5b2obo31bo159bo4bo5bo4bo37bo20b3o281b2o158bo
16b2o26b2o2bo5b2o$2o4bob2o29b2o15bob2o140bobo13bobo36bobo18bo283bo9b2o
3b2o21b2o120b2o2b2o3b2o6bo25b3ob2o6b2o$38b2o14b4o143bo15bo38b2o4bo298b
o8bobobobo22b2o8b2o113bobobobo7bo23bo19b2o$38bo14bo153bo3bo49bobo296b
2o10bobo34b2o109b2o4bobo8b2o24b3ob2o13b2o$54b3ob2o147bo3bo49bobo298b2o
bo5b2obo146bo3b2obo4b2obo28bob2o$56b2o2bo141b2o3bo3bo3b2o44bo2bo297bob
2o9b2o23bobo117bo8b2o2bob2o$59b2o141b2o11b2o45b2o129b2o165b2o4b2o8bo
22bo3bo116b2o8bo6b2o$393b2o165bo5bo8bo22bo3bo126bo7bo$360b2o3b2o4b2obo
186bo5bo7b2o20bo3bo118b2o7b2o7bo39bo$360b2o3b2o4bob2o185b2o4b2o8bo21bo
bo120bo8bo6b2o38bobo$260bo108b2o4b2o27bo157b2obo9bo144bo8bo3b2obo39bo
2bo$259bobob2o95b2o3b2o2bo5bo27bo2bo155bob2o9b2o13b2o128b2o7b2o2bob2o
40b2o9b2o$260b2obo2bo93bobobobo3bo5bo29bo183b2o8b2o186b2o$262bo2b2o95b
obo4b2o4b2o25b2obo195b2o$259bobo99b2obo4bo5bo20b2o4b2o389bo$259b2o104b
2o3bo5bo17bob2o368b2o23b3o$366bo2b2o4b2o16bo210b2o160b2o22bo$365bo3bo
5bo17bo2bo207b2o184b2o$365b2o3bo5bo18bo364b2o10b3o21bo$366bo2b2o4b2o
383b2o12bo19b3o$365bo5b2obo398bo19bo$365b2o4bob2o30b2o347b2o37b2o$405b
2o347b2o4bo$760b2o$205b2o$205b2o3$2o3b2o3b2o33b2o115b2obo4bob2o61b2o
549b2o$bo3b2o3b2o32bobo115bob2o4b2obo62bo14b2o534bo4b2o$o41b3o121b2o6b
2o27b2o31bobo12bobob2o496b2o37b2o$2o3b2o3b2o29bo3bo120bo8bo28b2o31b2o
14bobo498bo19bo$5bobobobo29b2ob2o121bo6bo25bo4bo46b2obo495b3o19bo12b2o
$2o5bobo156b2o6b2o24bo3bo46bo3bob2o492bo21b3o10b2o$bo4b2obo152b2obo6b
2o26b2o7b3o20b2o8bo9b2obo2bo343b2o9b2o141b2o$o9b2o150bob2o7bo35bo22bob
o6b3o8b2o2b2o344b2o9b2o142bo22b2o$2o9bo27bo7bo112b2o10bo61bo19b2o498b
3o23b2o$10bo27bobo5bobo111bo11b2o16b2o21bo20b2o19bo498bo$2o8b2o26bo2bo
3bo2bo112bo8b2o18b2o5b2o11bob2o18b2o2b2o8b3o6bobo302bob2o6b2obo$bo9bo
26bobo5bobo111b2o9bo24b2obo11b2o5b2o11bo2bob2o9bo8b2o302b2obo6bob2o
184b2o$o9bo21b2o5bo7bo5b2o107b2obo4bo25bo21b2o11b2obo3bo325b2o2b2o4b2o
182b2o9b2o$2o8b2o19bobo19bobo106bob2o4b2o62bob2o327bo2bo5bo193bo2bo$
31bo9b2ob2o9bo144bo33bobo14b2o311bo4bo5bo192bobo$30b2o9bo3bo9b2o141b3o
7b2o23b2obobo12bobo310b2o2b2o4b2o193bo$42b3o160bo3bo27b2o14bo147b2o
159b2o4bo5bo27b2o9b2o$40bobo161bo4bo43b2o146bobo159bo5bo5bo27bo9bo$40b
2o162b2o197b3o156bo5b2o4b2o10b2o11b2ob2o9b2ob2o11b2o$205b2o195bo3bo
155b2o4bo5bo11bo13bobo11bobo13bo148b2obo$360b2o3b2o2b2o3b2o26b2ob2o
153b2o7bo5bo12bob2o9bo13bo9b2obo135b2o13b2ob3o$360b2o3b2o2b2o3b2o185bo
6b2o4b2o11b2ob2o33b2ob2o134b2o19bo$400bo7bo151bo9b2obo197b2o6b2ob3o$
360b2o3b2o2b2o3b2o24bo7bo151b2o8bob2o13b2ob2o11b2o7b2o11b2ob2o141b2o5b
o2b2o$203b2o155bobobobo2bobobobo24bo7bo179bobo12bo9bo12bobo149b2o$203b
2o157bobo6bobo214bobo13b3o3b3o13bobo$361b2obo5b2obo215bo16bo3bo16bo$
365b2o7b2o$366bo8bo$365bo8bo$365b2o7b2o$366bo8bo$365bo8bo14b2o12b3o12b
2o$365b2o7b2o13b2o11bo3bo11b2o$402b2ob2o$235b2o12b2o$235b2o12b2o3$402b
2ob2o$2o5bob2o48bo11bo90b2obo6b2obo213b2o11bo3bo11b2o300b2o2b2o3b2o4b
2obo16bo28bo$bo5b2obo49b2o7b2o91bob2o6bob2o61b2o8b2o140b2o12b3o12b2o
301bo2b2o3b2o4bob2o16b3o24b3o$o4b2o49bobob2o7b2obobo91b2o2b2o4b2o14b2o
11b2o29bo2bo6bo2bo470bo12b2o23bo7b2o4b2o7bo$2o4bo48bobo15bobo90bo3bo5b
o15b2o3bo3bo3b2o29bo12bo470b2o2b2o3b2o2bo23b2o7bo6bo7b2o$5bo50bo17bo
92bo3bo5bo19bo3bo34bo12bo474bobobobo3bo29bobo6bobo$2o3b2o48bo19bo90b2o
2b2o4b2o19bo3bo23b2o10bo10bo10b2o459b2o4bobo4b2o29b2o8b2o$bo5bob2o24bo
4bo12bo9b2ob2o9bo84b2obo6b2obo15bo15bo17b2o5b3o16b3o5b2o460bo3b2obo6b
2obo$o6b2obo22b2ob4ob2o11b2o8bobo8b2o85bob2o6bob2o14bobo13bobo22bo3bo
14bo3bo465bo8b2o4bob2o$2o9b2o22bo4bo13b2o6bobobobo6b2o83b2o8b2o4b2o13b
o15bo23bo22bo465b2o8bo2b2o4b2o$12bo48bobo3bobo90bo9bo5bo18b3o3b3o28bo
20bo146bo7bo181bo24bo113bo3bo5bo$2o9bo47bo2bo5bo2bo89bo9bo5bo18bo5bo
197bo7bo151bob2o6b2obo16b3o20b3o104b2o7b2o3bo5bo$bo9b2o46b3o7b3o88b2o
8b2o4b2o222bo7bo151b2obo6bob2o19bo18bo108bo8bo2b2o4b2o17b2o20b2o$o6bob
2o151b2obo6b2obo388b2o8b2o16b2o18b2o106bo8bo5b2obo16bo3bo20bo3bo$2o5b
2obo48b3o7b3o90bob2o6bob2o15bo15bo194b2ob2o158bo8bo145b2o7b2o4bob2o15b
2o3bo20bo3b2o$59bo2bo5bo2bo118bobo13bobo193bo3bo157bo10bo179bob2o22b2o
bo$61bobo3bobo120bo2bo11bo2bo194b3o158b2o8b2o33bo$54b2o6bobobobo6b2o
120bo3bo30bo20bo151bobo154b2o6b2obo35b2o$54b2o8bobo8b2o120bo3bo29bo22b
o151b2o155bo6bob2o25b2o9bo$53bo9b2ob2o9bo113bo2bo2bo3bo2bo2bo23bo3bo
14bo3bo307bo5b2o28b2o9bo$55bo19bo116b2o11b2o18b2o5b3o16b3o5b2o301b2o4b
o29bo8bobo$56bo17bo150b2o10bo10bo10b2o299b2o7bo29bo7bobo$55bobo15bobo
160bo12bo311bo6b2o25b2o11bo$56bobob2o7b2obobo161bo12bo310bo9b2obo21b2o
$60b2o7b2o165bo2bo6bo2bo310b2o8bob2o$59bo11bo165b2o8b2o$597b2o8b2o$
593b2obobo8bobob2o142b2o26b2o$593bob2obobo4bobob2obo141bobo26bobo$599b
2o4b2o147bo30bo$235b2o12b2o502b2o30b2o$235b2o12b2o8$412b2o43b2o$412bob
o42bo$360b2o3b2o4b2obo39bo2b2o35b2obo$360b2o3b2o4bob2o23b2o13b2obobo
29b2o4bobo145bob2o$369b2o28bo16bo32bo152b2obo174b2o$360b2o3b2o2bo29bob
o11b4o32bobo148b2o18b2o158b2o$360bobobobo3bo29b2o11bo3b2o31b2o147bo3b
2o9bo5bo2bobo$362bobo4b2o43b3o2bo180b3obo9b3o5b2ob3o$361b2obo6b2obo41b
ob2o197bo10bo139bo24bo$365b2o4bob2o19bo21bo171bo5b2o6b2o12b2o4b2ob3o
140b3o20b3o$261bo104bo8b2o17b3o18b2o170bobo5bo6b2o18b2obo145bo10b2o6bo
$261b3o101bo9bo21bo55bo2bo130bobo5bobo172b2o10bo7b2o$2o5b2obo51bo7bo
89b2obo6b2obo90bo100b2o9bo13b2o4b2o8b2o41b2o2bo2bo17bo85bob2o4b2o3b2o
11b2ob2o5b2o122b2o4bob2o6b2obo24b2o16bo13b2o$bo5bob2o50bobo4b3o89bob2o
6bob2o61b2o26b2o101bo8b2o14bo13bo2bo40b2o2bo2bo7b2o6b3o85b2obo4b2o3b2o
146bo4b2obo6bob2o25bo17bo12bo$o4b2o55bo4bo96b2o2b2o4b2o50bo14bo123bo5b
2obo16bobo12bobo55b2o5bo92b2o20b2ob2o37bo91bo3b2o8b2o29bobo26bobo$2o3b
o61b2o95bo3bo5bo50bobo4bo7bobo35bo86b2o4bob2o17b2o12b3o62b2o92bo2b2o3b
2o12bob2o12bo22b3o91b2o3bo8bo31b2o26b2o$6bo158bo3bo5bo24bo25bo4b2o8bo
34b3o119b3o12b2o149bo3bobobobo10bo16bobo20bo98bo10bo$2o3b2o57b2o98b2o
2b2o4b2o22bobo31bo42bo122bobo12bobo48b3o97b2o4bobo12b2o13bo2bo21b2o93b
2o2b2o8b2o$bo5b2obo30b2o15b2o3bo2bo93b2obo4bo5bo16b2o4bobo11b2o62b2o
121bo2bo13bo58b2o86b2o5b2obo27bo2bo9b2o106bo4bob2o6b2obo$o6bob2o27bo2b
2o15b2o100bob2o5bo5bo15b2o3bo2bo11b2o50bobo133b2o8b2o4b2o19bo38bo87bo
9b2o25bobo9b2o17bo88bo5b2obo6bob2o$2o3b2o4b2o24bo4bo21b3o97b2o2b2o4b2o
21bobo65bo143bo26b3o25b3o7bo87bo11bo13b2o24bo3b3o9bobo87b2o8b2o2b2o4b
2o$5bo5bo25bo4bo121bo3bo5bo23bobo31bo157b2o18b3o26bo7b3o25b3o84b2o9bo
13bobo40bobo98bo2bo5bo$2o4bo5bo29bo122bo3bo5bo24bo25bo4b2o8bo21b3o15b
2o107bo21bo25bo38bo82b2o11b2o12bo30bo2bo5b2obo2b2o85b2o8bo4bo5bo50bo2b
o$bo3b2o4b2o23b2obobo122b2o2b2o4b2o49bobo4bo7bobo21bo16bo105b2obo47b2o
121bo12bo11b2o10bobo18b2obo4b2o2bobo87bo8b2o2b2o4b2o51b3o$o6b2obo25b2o
b2o119b2obo6b2obo52bo14bo15b2o20bobo105bo2b3o54b3o110bo12bo24b2o21bo8b
2o2bo85bo5bob2o6b2obo20b2o38b2o$2o5bob2o58b3o88bob2o6bob2o61b2o19bobo
20b2o107b2o3bo11b2o153b2o11b2o24bo33b2o85b2o4b2obo6bob2o20b2o38b2o$41b
3o32b2o178bo16bo116b4o11bobo33b2o323b3o$69bo2bo3b2o177b2o15b3o115bo16b
o34bo5b2o316bo2bo$70b2o316bobob2o13b2o30b3o6b2o7bo2bo2b2o$272bo115b2o
2bo46bo17bo2bo2b2o$67b2o203bobo117bobo62bo2bo$68bo4bo187b2o130b2o$65b
3o4bobo187bo320b2o33bo$65bo7bo185b3o321bo2b2o8bo21b2o$259bo324bobo2b2o
4bob2o18bobo10b2o134b2o26b2o$41b2o3b2o414b2o119b2o2bob2o5bo2bo30bo134b
obo26bobo$41b2o3b2o225b2o187bobo120bobo40bobo134bo12bo17bo$37bo235bo
190bo120bobo9b3o3bo24b2o134b2o13bo16b2o$31b2o3b2o179b2o55b3o180bobo4b
2o120bo17b2o9bobo152b2o7bo10b2o$31b2o2bo10bo170bobo56bo179bob2o143b2o
9bo2bo153bo6b2o10bo$36bo3b2o2b2obo171bo236bo134b2o21bo2bo13b2o135b3o
20b3o$36bo3bo6b2o166b4ob2o233b2o135bo20bobo16bo135bo24bo$197bo17bo2bob
obo366b3o22bo12b2obo$31b2o37bo3bo122b3o20bobo366bo37b2ob2o$31b2o3bo7b
2o22b2obobob2o123bo19bo2b2o555b2o$36b2o7bo3b2o16bo3bobo3bo121b2o18b2o
4bo394b2o5b2ob2o148b2o$49b2o15bo3b2ob2o3bo142b5o28b2o364bobo5bobo$66bo
bo7bobo142bo4b2o26bo337bob2o18b2o6bo5bobo$33b2o6bo3bo21bo9bo146b2o2bo
17bob2ob2obo335b3ob2o4b2o12b2o6b2o5bo$34bob2o2b2o3bo179bob2o17b2obobob
o335bo10bo$35bo10bo2b2o19b2ob2o118b2o8b2o9b2ob3o5bo364b3ob2o5b3o9bob3o
$44b2o3b2o18bobobobo117bo5b3ob2o9b2o8b2o30b2o334bobo2bo5bo9b2o3bo$44bo
25bo3bo115b2obo61bo2bo337b2o18b2o$34b2o3b2o149bo2b2o61b2o354bob2o$34b
2o3b2o150b2o4bo59bo3bo350b2obo$193b5o63b2o$193bo4b2o18b2o40bo2bo$194b
2o2bo19bo42b2o$196bobo20b3o219b2o7bo$196bobobo2bo17bo43bobobob2o126b2o
40b2o5b3o$197b2ob4o60bob2ob2obo127bo46bo8bo$199bo64bo134bo47b2o5b3o$
199bobo61b2o95b2o3b2o4b2obo24b2o52bo266b2o3bob2o4bob2o45b3o12b3o$200b
2o158b2o3b2o4bob2o78b2o266bo3b2obo4b2obo44bo3bo10bo3bo$369b2o21b2o50b
2o274bo8b2o6b2o41bo20bo$360b2o3b2o2bo23bo49bo2bo273b2o8bo7bo$360bobobo
bo3bo21bo32bo3bo14bobo282bo7bo43bobo14bobo$362bobo4b2o21b2o30bobo2b3o
12b3o273b2o7b2o6b2o43b2ob2o8b2ob2o$361b2obo6b2obo25b2o22bobo5bo288bo5b
2o6b2o47bo12bo$365b2o4bob2o17b2o6bobo20b2ob2o3b2o287bo7bo7bo$366bo2b2o
4b2o15bobo7bo317b2o5bo7bo$365bo3bo5bo17bo6bobo20b2ob2o23b2o274b2o6b2o$
365b2o3bo5bo13b3o7b2o22bobo25bo109b2obo4b2o3b2o48bo94b2o3b2o6b2o$366bo
2b2o4b2o13bo31bo25bobo111bob2o4b2o3b2o46b3o95bo4bo7bo$365bo5b2obo47b2o
23b2ob2o108b2o4b2o54bo97bo4bo7bo36bo40bo$48bo316b2o4bob2o185bo5bo3b2o
3b2o17b2o26b2o96b2o3b2o6b2o34bo2bo36bo2bo$46b3o393b2o3b2ob2o109bo5bo2b
obobobo18bo172bo4bo34bo4bo$45bo396bo5bobo109b2o4b2o4bobo20bobo17bo152b
o3b2o34b2o3bo$45b2o381b3o12b3o2bobo111b2obo5b2obo21b2o15b2obo151bo5bo
32bo5bo$92bo335bobo14bo3bo112bob2o9b2o35bobo154bo3bo34bo3bo$69bo20b3o
108b2o197b2o26bo2bo128b2o4b2o8bo35bo160bo34bo$69b3o17bo111bo194b2o2b2o
27b2o129bo5bo8bo$2o5b2obo61bo16b2o70b2obo6b2obo18bob2ob2obo5b2o186bobo
22b2o139bo5bo7b2o$bo5bob2o31b3o26b2o21b2o65bob2o6bob2o18b2obobobo6bo
187bo25bo138b2o4b2o8bo33bo$o4b2o4b2o28bo3bo48bo70b2o8b2o22bo8bo185b2o
22b3o5b2o134b2obo9bo32bobo$2o3bo5bo32bo12b2o15b2o16bobo70bo9bo31b2o
209bo8bo134bob2o9b2o29bob2o15b2o$6bo5bo26bo4bo12bo16bo17b2o72bo9bo247b
3o5b2o173bo17bobo$2o3b2o4b2o25bo16bobo28b3o76b2o8b2o30b2o215bo7b2o193b
o$bo5b2obo27bo10bo5b2o16b3o85b2obo6b2obo16bo10bo3bobo390b2o26b2o$o6bob
2o27bob2o5b2obo17b2o17bo73bob2o6bob2o16b3o7b3o3bo392bo172bo34bo$2o3b2o
4b2o19b2o5bo10bo16bobo16b2o77b2o2b2o23bo6bobo4b3o386b3o169bo3bo34bo3bo
$5bo5bo19bobo16bo16bo97bo3bo23bobo14bo386bo170bo5bo32bo5bo$2o4bo5bo18b
o12bo4bo16b2o21b2o75bo3bo22b2o573bo3b2o34b2o3bo$bo3b2o4b2o17b2o12bo26b
2o16bo75b2o2b2o597bo4bo34bo4bo$o6b2obo32bo3bo24bo17b3o68b2obo6b2obo18b
2o574bo2bo36bo2bo$2o5bob2o33b3o22b3o20bo68bob2o6bob2o18bo8bo567bo40bo$
69bo124bo6bobobob2o$193b2o5bob2ob2obo$200bo$199b2o$42b2o$43bo740bo12bo
$40b3o739b2ob2o8b2ob2o$40bo740bobo14bobo2$780bo20bo$781bo3bo10bo3bo$
782b3o12b3o2$604bo$391b2o211b3o$392bo13b2o199bo$360b2o3b2o4b2obo17bobo
11b2o154b2obo4bob2o32b2o$360b2o3b2o4bob2o18b2o167bob2o4b2obo$369b2o4b
2o183b2o4b2o6b2o38b2o$74b2o284b2o3b2o2bo5bo53b2o129bo5bo8bo38b2o8b2o$
74b2o284bobobobo3bo5bo35b2o15bo131bo5bo6bo49b2o$362bobo4b2o4b2o22bo12b
2o13bobo130b2o4b2o6b2o34bo$361b2obo6b2obo23bobo26b2o133b2obo6b2o35bobo
$192bo4b2o166b2o4bob2o23bobo161bob2o7bo34bo2bo$65b2o16b2o106bobo2bobo
167bo2b2o4b2o21b3o159b2o4b2o4bo36b2o$66bo16bo108bo4bo167bo3bo5bo17b2o
18b2o16b2o127bo5bo5b2o$2b2obo6b2obo45bo4bobo12bobo77b2obo4b2obo192b2o
3bo5bo15bobo18b2o16bo129bo5bo2b2o22bo$2bob2o6bob2o26b2o17b3o3b2o4bo7b
2o78bob2o4bob2o193bo2b2o4b2o15bo16b2o18bobo128b2o4b2o3bo21bobo$6b2o2b
2o4b2o23bobo20bo7bobo11bo78b2o6b2o190bo5b2obo16b2o16b2o18b2o131b2obo4b
o23bo$6bo3bo5bo24bo21b2o7bob2o8b3o78bo7bo191b2o4bob2o48b3o136bob2o4b2o
44b2o$7bo3bo5bo16bo5b2o31b2o8bo82bo7bo28b2o218bobo189bo2bo$6b2o2b2o4b
2o15bobo6b2o39b2o80b2o6b2o24b2obo2bo189b2o26bobo189bo155b2o$2b2obo4bo
5bo17bo4b3o2bo116b2obo4b2obo25bobo5b5o183bobo13b2o12bo165b2o4b3o16bo4b
o150bo2b2o$2bob2o5bo5bo20bo3b2o117bob2o4bob2o25bo3bo5bo2bo182bo15b2o
178b2o4bo3bo15bo3bo4b2o137bo7b2ob3o$2o8b2o4b2o20b4o123b2o6b2o23bo3b2o
8bo180b2o201bo4bo16b3o4b2o137b3o11bo$o9bo5bo19b2o3bo14b2o8bo14b2o82bo
7bo25bo8b2o3bo387bo159bo5bo4b2ob3o4bo$bo9bo5bo17bobo2bo15b2o7b3o12bo2b
o82bo7bo25bo2bo5bo3bo215b2o167bo2bo118b2o4bob2o6b2obo20bobo3b2o4b2obo
5bobo$2o8b2o4b2o15bobobobo24bo2bo12b3o7b2o73b2o6b2o26b5o5bobo202b2o11b
obo167b2o120bo4b2obo6bob2o20bobo18bobo$2b2obo6b2obo15b3obob2o26b2o14bo
8b2o69b2obo4b2obo33bo2bob2o203b2o13bo190bo97bo3b2o4b2o8b2o16b3ob2o16b
2ob3o$2bob2o6bob2o14bo3bobo124bob2o4bob2o34b2o222b2o188bobo96b2o3bo5bo
8bo16bo28bo$30b2o2bobo585bo101bo5bo10bo16b3ob2o16b2ob3o$35bo684b2o2b2o
4b2o8b2o18bob2o16b2obo$63b2o541b2o113bo4bob2o6b2obo47b2o$64bo8b2o530bo
2bo111bo5b2obo6bob2o16bo30bo$61b3o8b2obo7b2o129bo4bo385bobo112b2o8b2o
2b2o19bobo27bobo$61bo11bobo7bo129bobo2bobo385bo124bo2bo20bobo27b2o$65b
2o7bo4b2o3b3o126b2o4bo371b2o127b2o8bo4bo18b2ob2o$64bobo12bobo4bo504b2o
8b2o118bo8b2o2b2o18bo$64bo16bo519b2o117bo5bob2o6b2obo15bob2o$63b2o16b
2o637b2o4b2obo6bob2o13bobob2o30b2o$609b2o142b2o30b2obobo$609bo175b2obo
$610b3o176bo$72b2o538bo160b2o10b2ob2o$72b2o683b2o12bo2bo11bobo$756bobo
12b3o12bobo$756bo30bo$755b2o$760bob2o16b2obo$758b3ob2o16b2ob3o$757bo
28bo$758b3ob2o16b2ob3o$760bobo18bobo$760bobo5bob2o4b2o3bobo$761bo4b3ob
2o4bo5bo$765bo11b3o$766b3ob2o7bo$768b2o2bo$771b2o!

Re: Oscillator Discussion Thread

Posted: July 22nd, 2022, 12:20 pm
by hotdogPi
Here's a p180, active region is #501 in census.rle

Code: Select all

x = 58, y = 58, rule = B3/S23
23b2o$23b2o$40b2o$40b2o3$23bo$21b2ob2o2$20bo5bo2$20b2obob2o$37b2obob2o
2$11bobo23bo5bo$9bo3bo$2b2o5bo28b2ob2o$2b2o4bo4bo26bo$9bo$9bo3bo$11bob
o31bobo$43bo3bo$43bo$42bo4bo8b2o$43bo12b2o$43bo3bo$45bobo3$25bo2bo$25b
o3bo$10bobo12bo4bo$10bo3bo13b3o$2o12bo$2o8bo4bo$14bo6bo$10bo3bo6bobo$
10bobo8b2o21bobo$44bo3bo$48bo$17bo26bo4bo4b2o$15b2ob2o28bo5b2o$44bo3bo
$14bo5bo23bobo2$14b2obob2o$31b2obob2o2$31bo5bo2$32b2ob2o$34bo3$16b2o$
16b2o$33b2o$33b2o!
Partials:

p24

Code: Select all

x = 19, y = 25, rule = B3/S23
7b2o$8bo$8bob2o$9bobo3$10bo$8b2ob2o$8b2ob2o3b2o$15b3o$9b2ob2ob4o$b2o6b
2ob2ob4o$b3o3bo3bo3b3o$4ob2ob2o6b2o$4ob2ob2o$b3o$b2o3b2ob2o$6b2ob2o$8b
o3$7bobo$7b2obo$10bo$10b2o!
p25

Code: Select all

x = 22, y = 24, rule = B3/S23
2bo$2b3o$5bo$4b2o2$6b3o$6bo2bo$b2o2bo3bo$b3obobob2o$4o2b2ob2o$b3o3b3o$
b2o$19b2o$12b3o3b3o$11b2ob2o2b4o$11b2obobob3o$12bo3bo2b2o$12bo2bo$13b
3o2$16b2o$16bo$17b3o$19bo!
p25

Code: Select all

x = 20, y = 30, rule = B3/S23
2o$bo$bobo3b2o$2b2o2bobo$7bo2$8bo$6b2ob2o$6b2ob2o$7bobo$5bo4bo6bo$5bob
2obo6bo$5bo5bo4b3o$2bo3bobob2o4b2o$2bo2b2obo4b2ob3o$b3ob2o4bob2o2bo$2b
2o4b2obobo3bo$b3o4bo5bo$2bo6bob2obo$2bo6bo4bo$10bobo$9b2ob2o$9b2ob2o$
11bo2$12bo$11bobo2b2o$11b2o3bobo$18bo$18b2o!
p29

Code: Select all

x = 22, y = 20, rule = B3/S23
10b2o$10b2o3$11b2o$10bobo$b2o7bo$b3o6b3o2bo$4o9b2obo$b3o2bo6b2obo2b2o$
b2o2bob2o6bo2b3o$5bob2o9b4o$6bo2b3o6b3o$11bo7b2o$9bobo$9b2o3$10b2o$10b
2o!
p29

Code: Select all

x = 17, y = 17, rule = B3/S23
2o$bo$bobo8bo$2b2o4b3obo$7bo2bo$7bo2bo$7b3o4$7b3o$6bo2bo$6bo2bo$4bob3o
4b2o$4bo8bobo$15bo$15b2o!
p36

Code: Select all

x = 22, y = 33, rule = B3/S23
7b2o10b2o$6bo2bo8bo2bo$6b3o10b3o$9b10o$8bo2b6o2bo$8b2o2b4o2b2o5$12bo$
11bobo5$12bo$3bo2bo4bobo$3bobobo2bo3bo$5bo2b2o4bo$6b2ob2o3bo$8bo2b3o$
8bo$9bo4$2b2o8b2o$2bo10bo$3b10o$3o2b6o2b3o$o2bo2b4o2bo2bo$b2o10b2o!
p40; looks doable

Code: Select all

x = 39, y = 21, rule = B3/S23
28b2o$28bo2bo$22b2o4bob3o$22b2o5bo2bo$29b3o$30bo$24bo$2o21bobo$2o5b2o$
6bobo$6bo4bo$7b2o3bo3bo5bo$8bo2bo4bo4b3o6bo$10bo5bo3b2ob2o4b3o$6bo14b
3o4bo2bo5b2o$5bo2bo13bo5b3obo4b2o$4bo3b2o14bo4bo2bo$5bo4bo20b2o$8bobo$
8b2o5b2o$15b2o!
p75

Code: Select all

x = 24, y = 35, rule = B3/S23
9b2o$5b2o2bo$4bo2bobo$2obobobob2o$ob2obobobo$5b3o3bo$b4obob3obo$o11bo$
b3obobob3o$3b2obob2o4$13bo$13bo3$8bo3b3o$6b2o2b2o3bo$bo2b2obo7bo$3bob
2obo2bobo$obo5bo4bo$2bo4bo$2bo2b3o14b2o$4b3ob3o11b2o2$15b2o$15b2o$7b2o
bo$7b2ob3o$13bo$7b2ob3o$8bobo$8bobo$9bo!
p128

Code: Select all

x = 10, y = 11, rule = B3/S23
o6b2o$o5b3o$6b4o$6b4o$6b3o$3b2o2b2o$b2obo$o3bo$o2b2o$b3o$2bo!
p156

Code: Select all

x = 15, y = 15, rule = B3/S23
3bob3o$2b2o9bo$bo3b3o5bo$2ob3o3b2ob3o$3b2o5bob2o$7o5b3o$bo3b3o5bo$6b2o
5bo$3b2o$3b3o$4bobo$bo3b2o$2bo3bo$5bo$3b2o!
p190 thunderbird shuttle — any way to get 44P38 to work?

Code: Select all

x = 25, y = 5, rule = B3/S23
b2o3b3o$b3obo3bo2b2o$4obo3bobo2bo7b3o$b3obo3bo2b2o$b2o3b3o!
p224

Code: Select all

x = 17, y = 10, rule = B3/S23
b2o$b3o3b2o$4o2bo$4o6b2ob3o$b3o2bob4ob2obo$b2o2b4obo4b2o$14bo$12b3o$
11bobo$11b2o!
p232 (just need the right p29)

Code: Select all

x = 14, y = 13, rule = B3/S23
o2b2o$2b3o$2bo$3bo6b2o$4b2o4bo$10bo2bo$11bobo$8b4obo$7bobo$7bo2b2o$7bo
2b2o$8bobo$9bo!

Re: Oscillator Discussion Thread

Posted: July 23rd, 2022, 3:07 am
by carsoncheng
Crossposting from Discord, here is a p42 R-pentomino hassler, found by Mitchell Riley and reduced by wwei:

Code: Select all

x = 43, y = 43, rule = B3/S23
13b2o$13b2o2$13bo15b2o$12bobo14b2o$12bo2bo2b2o$16bob2o$14b2o3$12bo16b
2o$11b2o15bo2bo$3b2o5bo2bo14b2ob2o4b2o$3b2o5bobo17bo8bob2o$11b2o22bo2b
o2b2o$35bobo$36bo2$36b2o$36b2o4$5b2o$5b2o2$6bo$5bobo$2o2bo2bo22b2o$2o
bo8bo17bobo5b2o$4b2o4b2ob2o14bo2bo5b2o$11bo2bo15b2o$12b2o16bo3$27b2o$
23b2obo$23b2o2bo2bo$12b2o14bobo$12b2o15bo2$28b2o$28b2o!
Here is a p68 pi-heptomino hassler partial, found by Mitchell Riley (Edit: It was actually found by David Raucci), and suggested by Matthias Merzenich for crossposting onto the forums:

Code: Select all

x = 35, y = 29, rule = B3/S23
6bo21bo$6b3o17b3o$9bo15bo$8b2o15b2o5$o2b2obobo2bo3b2ob2o3bo2bobob2o2b
o$2bobo3bo2bo3b2ob2o3bo2bo3bobo$2bobob2o19b2obobo2$8bo6b2ob2o6bo$15b2o
b2o2$15b2ob2o$8bo6b2ob2o6bo2$2bobob2o19b2obobo$2bobo3bo2bo3b2ob2o3bo2b
o3bobo$o2b2obobo2bo3b2ob2o3bo2bobob2o2bo5$8b2o15b2o$9bo15bo$6b3o17b3o
$6bo21bo!
Edit: This is the 40500th post on the "Patterns" forum.

Re: Oscillator Discussion Thread

Posted: July 23rd, 2022, 6:17 am
by mvr
And here is a little p22 Century hassler

Code: Select all

x = 24, y = 19, rule = B3/S23
13b2o$13bo$11bobo$bo9b2o$obo$bo$5b2o$4bo2bo$7bo14b2o$o5b2o8b2o5bo$2o
14bo$16bo2bo$17b2o$22bo$21bobo$11b2o9bo$10bobo$10bo$9b2o!

Re: Oscillator Discussion Thread

Posted: July 24th, 2022, 5:34 am
by Entity Valkyrie 2
I feel like we went through an "oscillator revolution". My 2022 oscillator stamp collection now looks like this.

Code: Select all

x = 1405, y = 1892, rule = 12ColorMarkedLife
589.2A11.2A$590.A3.2A.2A3.A$8D8.12D508.4D4.4D4.4D4.4D26.A.A2.A.A2.A.A
409.8D8.8D8.12D$8D8.12D82.2A424.4D4.4D4.4D4.4D24.2A2.2A.A.A.2A2.2A
407.8D8.8D8.12D26.A36.A$8D8.12D30.A.A.A.A33.A11.A59.A365.4D4.4D4.4D4.
4D23.A7.A.A7.A406.8D8.8D8.12D25.A.A6.2A18.2A6.A.A$8D8.12D29.A.2A.2A.A
20.A11.3A10.A56.5A363.4D4.4D4.4D4.4D23.A.2A4.A.A4.2A.A406.8D8.8D8.12D
22.2A3.A6.A20.A6.A3.2A$4.4D16.4D27.3A7.3A16.5A12.A4.2A2.2A55.A5.A362.
4D4.4D4.4D4.4D26.A.A2.A.A2.A.A413.4D12.4D8.4D4.4D16.2A5.3A6.A.A20.A.A
6.3A5.2A$4.4D16.4D13.A12.A4.2A.2A4.A14.A5.A10.A5.A.A58.A2.A.A13.2A34.
2A312.4D4.4D4.4D4.4D23.A2.4A.A.A.4A2.A410.4D12.4D8.4D4.4D15.A2.A7.A5.
2A22.2A5.A7.A2.A$4.4D16.4D11.5A10.A2.2A.A.A.2A2.A14.A2.A.A11.A2.A4.A.
4A18.A33.2A.A.A14.A32.2A2.A19.2A3.A.A3.2A280.4D4.4D4.4D4.4D14.2A11.4A
3.4A414.4D12.4D8.4D4.4D16.2A9.2A32.2A9.2A$4.4D16.4D10.A5.A8.2A.A.A.A.
A.A.A.2A12.2A.A.A19.A2.A2.A16.5A30.A3.2A13.A.A32.A3.A.2A16.A2.3A.3A2.
A280.4D4.4D4.4D4.4D13.A2.A7.2A.A2.A3.A2.A.2A4.2A94.A3.2A3.2A300.4D12.
4D8.4D4.4D16.2A9.2A32.2A9.2A$4.4D8.12D10.A2.A.A10.A.A2.A3.A2.A.A12.A
3.2A17.A3.A20.A5.A4.2A24.A.A2.A12.2A13.A20.3A.A.3A15.2A3.A3.2A281.12D
4.12D11.A2.3A11.A.A3.A.A8.A36.2A6.2A47.3A4.A4.A300.4D12.4D8.4D4.4D11.
2A5.A7.A2.A30.A2.A7.A5.2A$4.4D8.12D9.2A.A.A11.A.A4.A4.A.A13.A.A2.A26.
A14.A2.3A5.A.2A21.2A.4A3.A2.A.A16.5A20.A6.A11.3A3.A3.A3.3A278.12D4.
12D11.3A3.2A10.A5.A7.A.A36.2A6.2A36.A9.A6.A3.A302.4D12.4D8.4D4.4D10.A
.A6.3A5.2A32.2A5.3A6.A.A$4.4D8.12D8.A3.2A13.A11.A13.2A.4A3.A2.A.A6.2A
7.3A13.2A.A9.A3.2A28.A2.A2.A14.A5.A21.4A.3A8.A4.4A.4A4.A277.12D4.12D
15.A3.A19.2A2.2A80.A3.2A7.2A5.2A2.2A301.4D12.4D8.4D4.4D10.A6.A3.2A17.
A.2A2.2A.A17.2A3.A6.A$4.4D8.12D9.A.A2.A48.A2.A2.A5.A.A5.A15.A3.2A12.
2A18.2A.4A3.A2.A.A16.3A2.A20.2A2.2A3.A7.A.A.A9.A.A.A277.12D4.12D9.4A.
2A.2A.A7.A7.A2.2A83.A.2A19.A.A2.A299.4D12.4D8.4D4.4D9.2A6.A.A18.A3.2A
2.2A3.A18.A.A6.2A$4.4D16.4D8.2A.4A3.A2.A.A7.A3.A17.2A.4A3.A2.A.A7.A6.
2A15.A.A2.A15.2A15.A.A2.A13.2A13.A.2A12.2A5.A6.A2.A7.2A.A.A5.A.A.2A
286.4D12.4D8.A2.A.A15.7A89.A.A.2A16.A3.2A299.4D12.4D8.4D4.4D18.A19.A
12.A19.A$4.4D16.4D18.A2.A2.A29.A.A2.A16.A22.2A.2A.2A5.A3.A4.2A14.A3.
2A13.A.A12.2A3.A11.A.A8.6A12.2A5.2A290.4D12.4D8.2A2.A2.3A.A.A9.3A11.
2A.2A75.2A2.2A17.A303.4D12.4D8.4D4.4D39.A10.A$4.4D16.4D8.2A.4A3.A2.A.
A29.A3.2A22.A24.A5.A3.A21.2A.A.A13.A3.A8.A2.A.A13.A7.A2.A20.A294.4D
12.4D15.2A3.4A16.2A.A2.A.A2.A71.A5.A17.2A303.4D12.4D8.4D4.4D28.A32.A$
4.4D16.4D9.A.A2.A16.A3.A18.2A.A.A21.A17.2A.2A.2A5.A3.A22.A2.A.A10.2A
3.2A8.4A.2A14.A2.A7.A18.A294.4D12.4D39.A.A.2A4.3A2.A69.A.3A323.4D12.
4D8.4D4.4D9.2A16.A.A30.A.A16.2A$12D4.12D8.A3.2A18.3A20.A2.A.A12.2A6.A
18.A.A2.A33.A5.A13.3A8.A16.6A8.A.A13.2A5.2A290.4D12.4D21.2A16.2A6.2A
3.3A69.A.2A24.3A293.12D4.12D4.12D10.A19.A28.A19.A$12D4.12D9.2A.A.A13.
A26.A5.A12.A6.A17.A3.2A12.2A2.2A17.5A15.2A8.4A.2A9.A2.A6.A5.2A9.2A.A.
A5.A.A.2A286.4D12.4D16.2A3.2A2.A20.A3.A397.12D4.12D4.12D10.A.A13.A2.A
30.A2.A13.A.A$12D4.12D10.A2.A.A11.A.A5.2A19.5A10.3A7.A18.2A.A9.A3.2A
3.A19.A13.2A3.A8.A2.A.A11.A3.2A2.2A15.A.A.A9.A.A.A285.4D12.4D16.2A3.
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4D4.4D4.4D4.4D36.A.A18.2A$544.4D4.12D13.A3.3A11.2A16.2A17.A4.A.A380.
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A.2A.A.2A6.2A13.2A348.12D4.12D4.12D48.2A10.2A.3A$80.A4.A.A2.A488.A16.
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2B2.3B.B.B41.3A.2A10.2A$579.A.A5.A.A.A10.A6.A.A.A32.A.2A.A361.B3.B2.B
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35.A.A$268.2A268.B3.B2.B35.A$268.A267.3B.3B2.B34.2A7.2A$88.2A170.2A4.
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233.A3.A4.A297.4D8.4D4.4D4.4D4.4D12.6A12.A5.A12.6A$78.2A.A.2A152.A4.A
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A$101.2A.A.A6.A.A.2A40.2A15.A$101.A2.2A.6A.2A2.A$103.A12.A58.2A$104.
3A6.3A59.2A$106.A6.A$104.2A3.2A3.2A$104.A3.A2.A3.A$102.A.A4.2A4.A.A$
102.2A12.2A!

Re: Oscillator Discussion Thread

Posted: July 24th, 2022, 5:55 am
by iNoMed
p70, partial by mvr and completed by me (initially with the p10 hyperstrong domino, now with the p5 half-heavyweight):

Code: Select all

x = 52, y = 52, rule = B3/S23
18bo3bobo2bo$10b2ob2o2bobobob5o$10b2obo2bo2bobo$13bob2ob2o2bob4o$10b2o
bo2bo4bobo4bo$10b2ob2obobob2obob3o$12bo3bo4b5o$12bo7bo10bo$13bo3bobo9b
3o$14bo3bo9bo$b2ob2o22b2o$b2ob2o$6b2o$b5o2bo$bo3bo3bo$3bo$2b5o18b3o$bo
6bo16bo2bo$o2bobo3bo19bo$b3o4bo18b3o$5bobo35b2o$b2ob3o36bo$o2bo2bo25b
2o7bobo$bo2b3o25bobo6b2o4bo$2obo2bo25bo2bo10bobob2o$bobob2o9b2o17bo10b
obobo$bobobo10bo17b2o9b2obobo$2obobo10bo2bo25bo2bob2o$4bo4b2o6bobo25b
3o2bo$8bobo7b2o25bo2bo2bo$8bo36b3ob2o$7b2o35bobo$22b3o18bo4b3o$22bo19b
o3bobo2bo$23bo2bo16bo6bo$24b3o18b5o$48bo$42bo3bo3bo$43bo2b5o$44b2o$46b
2ob2o$22b2o22b2ob2o$23bo9bo3bo$20b3o9bobo3bo$20bo10bo7bo$26b5o4bo3bo$
24b3obob2obobob2ob2o$23bo4bobo4bo2bob2o$24b4obo2b2ob2obo$30bobo2bo2bob
2o$24b5obobobo2b2ob2o$24bo2bobo3bo!

Re: Oscillator Discussion Thread

Posted: July 24th, 2022, 8:44 am
by hotdogPi
mvr actually found two oscillators within the last 12 hours. The p70 was cross-posted from Discord and is shown in the prior post, but the p48 below was not. Its duoplet can reflect gliders. If you want a date, it was found at 03:01 UTC on July 24; I typically use UTC times, but it was still the 23rd in all of the mainland US.

Code: Select all

x = 28, y = 20, rule = B3/S23
17b2o$17bo$b2o12bobo7b2o$obo12b2o8bobo$obob2o16b2obobo$bobobo16bobobo$
3bo20bo$bo2bo18bo2bo$4bo4b3o11bo$o3bo4bobo4b3o4bo3bo$o3bo4b3o4bobo4bo
3bo$4bo11b3o4bo$bo2bo18bo2bo$3bo20bo$bobobo16bobobo$obob2o16b2obobo$ob
o8b2o12bobo$b2o7bobo12b2o$10bo$9b2o!

Re: Oscillator Discussion Thread

Posted: July 25th, 2022, 7:08 am
by Entity Valkyrie 2
Found this 114-cell P82 by hand when messing around with the Speed Tunnel G-to-H:

Code: Select all

x = 43, y = 47, rule = B3/S23
32b2o$32bo$33bo$20bo11b2o$20b3o11b2o$23bo7b3o2bo$22b2o7bobobo$17b2o12b
obob2o$18bo13bo$18bobo$19b2o$26b2o$25b2o$26b2o13bo$39b2o$41b2o$17b2o
21bo$17b2o$12bo$12b3o$15bo$14b2o4$27b2o$27bo$28b3o$30bo$24b2o$2bo21b2o
$2o$2b2o$bo13b2o$16b2o$15b2o$22b2o$22bobo$10bo13bo$6b2obobo12b2o$7bobo
bo7b2o$6bo2b3o7bo$7b2o11b3o$9b2o11bo$9bo$10bo$9b2o!
EDIT: A variant (minpop 125):

Code: Select all

x = 48, y = 33, rule = B3/S23
14bo$15b2o$13b2o$15bo2$18bo$5bobo9bobo$4bob2o9bobo10b2o8bo$4bo13bo11b
2o6b3o$ob2ob3o29bo$2obobo2bo28b2o4b2o$7b2o34bo$41bobo$15b2o24b2o$9bo5b
2ob2o14b3o$8bobo4bo17bo3bo$7bo2bo9b2o11b2ob2o$8b2o7b5o$18bo$5b2o$4bobo
$4bo34b2o2bo$3b2o4b2o28bo4bob2o$10bo29b3ob2obo$7b3o6b2o25bo$7bo8b2o22b
2obo$40bobo3$33bo$31bobo$32bobo$32bo!