Oscillator Discussion Thread

[MathAndCode]

Made a P2 by hand for fun

Code: Select all

x = 15, y = 15, rule = B3/S23
5bo3bo$4bobobobo$4bobobobo$5bobobo$b2o4bo4b2o$o2bo2bobo2bo2bo$b2o9b2o$
3b3o3b3o$b2o9b2o$o2bo2bobo2bo2bo$b2o4bo4b2o$5bobobo$4bobobobo$4bobobob
o$5bo3bo!

So did I, based on a reaction involving a banana spark.

Code: Select all

x = 4, y = 4, rule = B3/S23
3bo2$b2o$o!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 ]]
#C [[ PASTE dot -1 4 ]]
#C [[ PASTET 2 2 2 2 2 ]]
#C [[ PASTE dot 3 0 ]]

Code: Select all

x = 26, y = 26, rule = B3/S23
13bo$11bobo$15bo$9b2o5bo$8bo7bo$18bo$6b2o11bo$5bo13bo$21bo$3b2o17bo$2bo19bo$24bo$2o$24b2o$bo$3bo19bo$3bo17b2o$4bo$6bo13bo$6bo11b2o$7bo$9bo7bo$9bo5b2o$10bo$12bobo$12bo!

Here are more spark-preserving reactions:

Code: Select all

x = 3, y = 5, rule = B3/S23
o$2o$2o2$2bo!
#C [[ RLE dot o! ]]
#C [[ PASTET 5 20 20 20 ]]
#C [[ PASTE dot 4 1 ]]
#C [[ PASTET 10 20 20 20 ]]
#C [[ PASTE dot 1 -1 ]]
#C [[ PASTET 15 20 20 20 ]]
#C [[ PASTE dot -1 2 ]]
#C [[ PASTET 20 20 20 20 ]]
#C [[ PASTE dot 2 4 ]]

Code: Select all

x = 4, y = 4, rule = B3/S23
o$2bo$bo$2b2o!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 ]]
#C [[ PASTE dot 4 4 ]]
#C [[ PASTET 2 2 2 2 2 ]]
#C [[ PASTE dot 0 0 ]]

Code: Select all

x = 4, y = 4, rule = B3/S23
o$2o$2o$3bo!
#C [[ RLE dot o! ]]
#C [[ PASTET 5 7 7 7 7 ]]
#C [[ PASTE dot -2 0 ]]
#C [[ PASTET 0 7 7 7 7 ]]
#C [[ PASTE dot 3 3 ]]

One can be combined with the previous oscillator.

Code: Select all

x = 26, y = 26, rule = B3/S23
12bo$12bobo$10bo5bo$8b2o6bo$17bo$7bo11bo$5bobo10bo$6bo12b2o$4bo17bo$2b2o18bo$23bo$bo$24b2o$2o$24bo$2bo$3bo18b2o$3bo17bo$5b2o12bo$7bo10bobo$6bo11bo$8bo$9bo6b2o$9bo5bo$11bobo$13bo!

Edit: Here's another example.

Code: Select all

x = 7, y = 9, rule = B3/S23
4bo2$5b2o$4bo$2bobo$2bo$2o2$2bo!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 ]]
#C [[ PASTE dot -1 5 ]]
#C [[ PASTE dot 7 3 ]]
#C [[ PASTET 2 2 2 2 2 ]]
#C [[ PASTE dot 4 0 ]]
#C [[ PASTE dot 2 8 ]]

[wwei23]

Here are more spark-preserving reactions:

Love those. I would love to see a completion for the first one especially, but sadly, P20 sparkers would be required for that, since P4, P5 and P10 would interfere. The second one looks more viable to my untrained eyes, but I don't see how you're going to get a spark in there, and P7 is too high for me to search at any significant width. The third one though...
I can complete it by hand!

Code: Select all

x = 19, y = 19, rule = B3/S23
6bo$6bobo$4bo$2b2o5b2o2$bo8bo2$2o9b2o$10bo3bo$2bobo3bobo3bobo$4bo3bo$
6b2o9b2o2$8bo8bo2$8b2o5b2o$14bo$10bobo$12bo!

Here's a silly little polymer:

Code: Select all

x = 27, y = 27, rule = B3/S23
6bo$6bobo$4bo$2b2o5b2o2$bo8bo2$2o9b2o$10bo3bo$2bobo3bobo3bobo$4bo3bo$
6b2o9b2o2$8bo9bo2$8b2o9b2o$18bo3bo$10bobo3bobo3bobo$12bo3bo$14b2o9b2o
2$16bo8bo2$16b2o5b2o$22bo$18bobo$20bo!

EDIT: Almost P3:

Code: Select all

x = 6, y = 6, rule = B3/S23
2o$obo$bo$3bo$3bobo$3bo!

[MathAndCode]

Here are more spark-preserving reactions:

Love those. I would love to see a completion for the first one especially, but sadly, P20 sparkers would be required for that, since P4, P5 and P10 would interfere. The second one looks more viable to my untrained eyes, but I don't see how you're going to get a spark in there, and P7 is too high for me to search at any significant width. The third one though...
I can complete it by hand!

Code: Select all

x = 19, y = 19, rule = B3/S23
6bo$6bobo$4bo$2b2o5b2o2$bo8bo2$2o9b2o$10bo3bo$2bobo3bobo3bobo$4bo3bo$
6b2o9b2o2$8bo8bo2$8b2o5b2o$14bo$10bobo$12bo!

Here's a silly little polymer:

Code: Select all

x = 27, y = 27, rule = B3/S23
6bo$6bobo$4bo$2b2o5b2o2$bo8bo2$2o9b2o$10bo3bo$2bobo3bobo3bobo$4bo3bo$
6b2o9b2o2$8bo9bo2$8b2o9b2o$18bo3bo$10bobo3bobo3bobo$12bo3bo$14b2o9b2o
2$16bo8bo2$16b2o5b2o$22bo$18bobo$20bo!

This polymer is sillier but not as little.

Code: Select all

x = 66, y = 58, rule = B3/S23
6bo$6bobo$4bo$2b2o5b2o2$bo8bo2$2o9b2o$10bo3bo$2bobo3bobo3bobo$4bo3bo9bo$6b2o10bobo$22bo$8bo13bobo$26bo$8b2o16bobo$30bo$10bobo17bobo$12bo$14bobo16b2o$16bo$18bobo13bo$20bo$22bobo10b2o$24bo9bo3bo$26bobo3bobo3bobo$28bo3bo$30b2o9b2o2$32bo9bo$44bo$32b2o10bobo2$34bo12b2o$35b2o$48bo$37bo12bo$38b2o10bo$51bo$40bo12bo$41b2o10bobo2$43bo12b2o$44b2o$57bo$46bo$47b2o9b2o$57bo3bo$49bobo3bobo3bobo$51bo3bo$53b2o9b2o2$55bo8bo2$55b2o5b2o$61bo$57bobo$59bo!

Also, this is p84 if glider-stabilized:

Code: Select all

x = 10, y = 9, rule = B3/S23
o$o$o4$2bo4b3o$2bo4bobo$2bo4b3o!

The dart's forward movement mechanism appears at generations 10–19 and 31–40.

Edit: Here's a partial polymer.

Code: Select all

x = 35, y = 35, rule = B3/S23
17bo$15bobo$13bo5bo$13bo6b2o2$22bo$23b2o2$25bo$25bo$23b2o2bo$28b2o$22b2o$21bo8bo$2bo16bobo9b2o$19bo$2o15b2o14bo2$bo14b2o15b2o$15bo$2b2o9bobo16bo$4bo8bo$11b2o$5b2o$7bo2b2o$9bo$9bo2$10b2o$12bo2$13b2o6bo$15bo5bo$17bobo$17bo!

[bubblegum]

Edit: Here's a partial polymer.

Code: Select all

x = 35, y = 35, rule = B3/S23
17bo$15bobo$13bo5bo$13bo6b2o2$22bo$23b2o2$25bo$25bo$23b2o2bo$28b2o$22b2o$21bo8bo$2bo16bobo9b2o$19bo$2o15b2o14bo2$bo14b2o15b2o$15bo$2b2o9bobo16bo$4bo8bo$11b2o$5b2o$7bo2b2o$9bo$9bo2$10b2o$12bo2$13b2o6bo$15bo5bo$17bobo$17bo!

After squinting at Oscichemistry for about half an hour, I found a few solutions:

Code: Select all

x = 37, y = 40, rule = B3/S23
5bo$3bobo$2bo4bo$2b5o$8bobo7bo$4bo5bo5bobo$4b2o6bobo5bo$4b2o8bo6b2o$5b
o$23bo$24b2o$2bo$2bobo21bo$o25bo$6o18b2o2bo$29b2o$2b3o18b2o$2bo19bo8b
o$3bo16bobo9b2o$20bo$b2o15b2o14bo$33bo$2bo14b2o14b3o$16bo$3b2o9bobo14b
6o$5bo8bo16bo$12b2o19bobo$6b2o25bo$8bo2b2o$10bo$10bo2$11b2o$13bo$21b2o
$14b2o5bobo$16bob2obo$19bobob2o$18bo2bo$20bobo!

[wwei23]

I'm trying to construct high-period oscillators with methods like scrambling a glider stream with pulse dividers, is there something I'm missing?

Code: Select all

x = 400, y = 372, rule = B3/S23
18b2o$18b2o2$4b2o$4b2o7$5bo10b2o3b2o$4b3o$3b5o9bo3bo$2bobobobo9b3o$2b
2o3b2o9b3o3$5bo$4bobo$3b2obo$3b3o9bo5bo$2bo2bo8bo5b3o$2b3o9b3o3b3o$bo
3bo$o5bo11b2o3b2o$bo3bo5bo6b2o3b2o$2b3o7bo$10b3o2$20b2o3$23b2o$23bo$
24b3o$26bo$3b2o$3b2o3$26bo$27bo$25b3o13$41bo$42bo$40b3o100b2o3b2o$141b
3obo2b2o$140bo4bo$140bo2b2ob4o$139b2obobobo2bo$140bobobobo$140bobob2o$
141bo2$154b2o$145b2o7bo$145b2o5bobo$152b2o$56bo$57bo$55b3o4$142b2o$
143bo6b3o$140b3o7bo$140bo10bo6$71bo$72bo$70b3o13$86bo$87bo$85b3o9$106b
2o$106bobo$108bo$108b2o$101bo$102bo$100b3o28$131bo$132bo$130b3o5$225b
3o$225bo$226bo6$146bo$147bo$145b3o13$161bo$162bo$160b3o13$176bo$177bo$
175b3o28$206bo$207bo$205b3o5$300b3o$300bo$301bo6$221bo$222bo$220b3o13$
236bo$237bo$235b3o13$251bo$252bo$250b3o28$281bo$282bo$280b3o5$375b3o$
375bo$376bo5$395b2o$296bo98bo$297bo99bo$295b3o79b2o14b5o$378bo13bo$
378bobo12b3o$379b2o15bo$393b4o$388b2o3bo3b2o$388b2o4b3o2bo$396bob2o$
384bo11bo$383bobo9b2o$384bo$389b2o$390bo$311bo73b2o3bob2o$312bo72b2o2b
2obo2bo$310b3o79bob2o$385b2o5bo$385bo5b2o$387bo$369b3o14b2o$371bo$370b
o7$326bo$327bo$325b3o6$345bo$343b3o$342bo$342b2o5$328b2ob2o$326bo2bob
2o$326b2o$339b2o$331bo2bo4b2o$331b4o$328bo$328b5o11bo$332bo7b2obobo$
330bo8bobobobo$330b2o4bo2bobobobob2o$336b4ob2o2bo2bo$340bo4b2o$338bobo
$338b2o!

EDIT: Help

Code: Select all

x = 400, y = 372, rule = B3/S23
18b2o$18b2o2$4b2o$4b2o7$4b3o$3bo3bo8b2o3b2o$18b3o$2bo5bo8bo3bo$2b2o3b
2o9bobo$19bo2$5bo$3b2obo$6bo$2bo3bo13b3o$2bo2bo8bobo$b5o8b2o4bobo$b5o
9bo3b5o$2o3b2o11b2o3b2o$b5o12b2o3b2o$2b3o5b2o$3bo6b2o5$23b2o$18bo4bo$
19b2o3b3o$18b2o6bo$3b2o$3b2o11$33bo$34b2o$33b2o5$141b2o3b2o$139b3obo2b
2o$138bo4bo$138bo2b2ob4o$137b2obobobo2bo$138bobobobo$138bobob2o$139bo$
48bo$49b2o101b2o$48b2o93b2o7bo$143b2o5bobo$150b2o7$140b2o$141bo$138b3o
$138bo$63bo$64b2o$63b2o13$78bo$79b2o$78b2o11$100bo$98b2o$93bo5b2o$86b
2o6b2o$85bobo5b2o$85bo$84b2o11$108bo$109b2o$108b2o4$203b2o$202b2o$204b
o7$123bo$124b2o$123b2o13$138bo$139b2o$138b2o13$153bo$154b2o$153b2o58$
213bo$214b2o$213b2o4$308b2o$307b2o$309bo7$228bo$229b2o$228b2o13$243bo$
244b2o$243b2o13$258bo$259b2o$258b2o34$395b2o$395bo$397bo$377b2o14b5o$
378bo13bo$378bobo12b3o$379b2o15bo$393b4o$388b2o3bo3b2o$388b2o4b3o2bo$
396bob2o$396bo$395b2o2$389b2o$390bo$385b2o3bob2o$385b2o2b2obo2bo$392bo
b2o$385b2o5bo$385bo5b2o$387bo$386b2o2$318bo$319b2o$318b2o3$362b2o$363b
2o$362bo8$333bo11bo$334b2o7b3o$333b2o7bo$342b2o5$328b2ob2o$326bo2bob2o
$326b2o$339b2o$331bo2bo4b2o$331b4o$328bo$328b5o11bo$332bo7b2obobo$330b
o8bobobobo$330b2o4bo2bobobobob2o$336b4ob2o2bo2bo$340bo4b2o$338bobo$
338b2o!

[MathAndCode]

After squinting at Oscichemistry for about half an hour, I found a few solutions:

Code: Select all

x = 37, y = 40, rule = B3/S23
5bo$3bobo$2bo4bo$2b5o$8bobo7bo$4bo5bo5bobo$4b2o6bobo5bo$4b2o8bo6b2o$5b
o$23bo$24b2o$2bo$2bobo21bo$o25bo$6o18b2o2bo$29b2o$2b3o18b2o$2bo19bo8b
o$3bo16bobo9b2o$20bo$b2o15b2o14bo$33bo$2bo14b2o14b3o$16bo$3b2o9bobo14b
6o$5bo8bo16bo$12b2o19bobo$6b2o25bo$8bo2b2o$10bo$10bo2$11b2o$13bo$21b2o
$14b2o5bobo$16bob2obo$19bobob2o$18bo2bo$20bobo!

Thank you. That toad stabilization is very clever.

I'm trying to construct high-period oscillators with methods like scrambling a glider stream with pulse dividers, is there something I'm missing?

The problem seems to be that the semi-Snarks. Try replacing them with regular Snarks and adding something else to introduce chaos while minimizing possibilities for multiple inputs to result in the same output.

Edit: Can this be stabilized without kill cells?

Code: Select all

x = 18, y = 18, rule = LifeHistory
10.F$9.3B$6.F2.3B2.F$2.F.B2.7B$3.12B$3.11B$.5B3A5B.F$F5BABA6B$.5B3A6B$3.14B$3.14BF$2.F.13B$4.2B3A6B$3.3BABA6B$4.2B3A2B2.B.F$3.F2.3B2.F$6.3B$7.F!

Another edit: Here's another partial oscillator.

Code: Select all

x = 5, y = 65, rule = LifeHistory
2.A$2.A$.A.A$2.A$2.A$F3.F$2.A$2.A$.A.A$2.A$2.A4$F3.F4$2.A$2.A$.A.A$2.A$2.A$F3.F$2.A$2.A$.A.A$2.A$2.A4$F3.F4$2.A$2.A$.A.A$2.A$2.A$F3.F$2.A$2.A$.A.A$2.A$2.A4$F3.F4$2.A$2.A$.A.A$2.A$2.A$F3.F$2.A$2.A$.A.A$2.A$2.A!

Third edit: Here's a p30 based on the queen bee shuttle.

Code: Select all

x = 41, y = 7, rule = B3/S23
10bo18bo$8bobo16bobo$6b2o12b2o3b2o12b2o$2o4b2o11bo2bo2b2o12b2o$2o4b2o12b2o3b2o$8bobo16bobo$10bo18bo!

Also, I wonder whether or not it's possible to get a p38 out of the reactions demonstrated here.

Code: Select all

x = 25, y = 33, rule = B3/S23
12bo$11bobo$11bobo$bo10bo10bo$obo19bobo$bo21bo$6b3o7b3o$7bo9bo2$7bo9bo$6b3o7b3o$bo21bo$obo19bobo$bo21bo6$bo21bo$obo19bobo$bo21bo$6b3o7b3o$7bo9bo2$7bo9bo$6b3o7b3o$bo21bo$obo19bobo$bo10bo10bo$11bobo$11bobo$12bo!

[JP21]

Just another p2 joke (most of the old ones being in there):

Code: Select all

x = 532, y = 328, rule = B3/S23
315bo$313bobo$303bo7bo5bo3bo$301bobo5bobo9bobob3o$305bobo6bobob2o55bo$
299b2o6bo6bo9bobo46bobo$312bo7bobo4bo35bo7bo5bo$299bo22bo3b2o33bobo5bo
bo$240b2obo53bo13b2o46bo5bobo9b2o$194b2o44bo3b2o49bobo59bobo7bo$194bo
46bo71bo62bo$189bob2obob2o45bo49b2o60b2o$189b2obobo48bo69b2o60b2o$194b
obo48bo48bo61bo$194bo47b4o50bo6bo6bobo45bo6bo6bobo$190bobo103bobo4bobo
4bo47bobo4bobo4bo$190bo48bobo2b2o54b2o5b2o53b2o5b2o$186bobo50bo5bo53bo
6bo54bo6bo$128bo57bo48bobo6bo56bo6bo54bo6bo$126bobo44b2o7bobo50bo8b2o
53b2o5b2o53b2o5b2o$130bo43bo7bo38bo9bobo67bo6bo54bo6bo$124b2o47bo4bobo
39bobo8bo67bo6bo54bo6bo$130b2o41b2o3bo41bobo4bobo70b2o5b2o53b2o5b2o$
121bobo2bobo26b2o19bo42b2ob2o3bo71bo6bo54bo6bo$121bo6bobobo23bo14b5o
31b2obo10bo3bo75bo6bo54bo6bo112b2o10b2o$117bobo11b2o18b3o2bob2o11bo4bo
30bo3b2o8bob2o74b2o5b2o53b2o5b2o113bobo10bo$117bo33b4obob2o12bobo33bo
13bo2bo75bo6bo54bo6bo122bobo$113bobo39bo18bo35bo12bo75bo6bo54bo6bo116b
obo$113bo40bo55bo14bo74b2o5b2o53b2o5b2o120bobo$104bo4bobo100bo8b2o3bo
72bo6bo54bo6bo118bobo$102bobo4bo40bobobobo52b3obo9bob2o74bo6bo54bo6bo
120bo$106b2o42bo4b2o56bo85b2o5b2o53b2o5b2o118bo$100b2o44bobo57bobo2b2o
88bo6bo54bo6bo119bobo$106bo39bo59bo5bobob2o81bo6bo54bo6bo117bobo$101bo
2bo37bobo57bobo6bo2b2obo82b2o5b2o53b2o5b2o121bobo$99bo2bobo37bo59bo8b
2o86bo6bo54bo6bo115bobo$99b2o32b2o3bobo47bo9bobo100bo6bo54bo6bo123bobo
$133bo4bo48bobo8bo100b2o5b2o53b2o5b2o112bobo10b2o$134bobo49bo2bo4bobo
104bo6bo54bo6bo$186b2ob2o3bo104bo6bo54bo6bo111bobo35bo$115b3o16bo2bo
50bo3bo107b2o5b2o53b2o5b2o145bobo$130b2obobo2bo49bob2o107bo6bo54bo6bo
109bobo39bobo$113b2obo13b2obobo2bo50bo2bo108bo6bo54bo6bo143b2o6bo$117b
o15bo3bo52bo108b2o5b2o53b2o5b2o102bo3bobo45bo$111b2o3b2o15b2o57bo108bo
6bo54bo6bo99bobo41bo$164b3o21b2o3bo105bo6bo54bo6bo105bobo15bo3bo5bo3bo
5bo11b2o$107bobobobo76bob2o68b2o36b2o5b2o53b2o5b2o97b2o20bobo3bobobobo
3bobobobo$107bo4b2o48b2obo95bobo35bo6bo54bo6bo107bo11bo5bo9bo18bo$103b
obo60bo134bo6bo54bo6bo98bo16bobo10bo9bo$103bo56b2o3b2o90bobob2o36b2o5b
2o53b2o5b2o106b2o6bo6bobobobo3bobobobo3bo10b2o$99bobo108b2o18b2o3bo21b
o10bo3bo28bo6bo54bo6bo99b2o10bobo6bo5bo3bo5bo3bobo$99bo56bobobobo47bo
2bo16bo4bobo15bobo7b2obobo3bo26bo6bo54bo6bo109bobo8bo31bo$90b2o3bobo
58bo4b2o48bobobo15bobo19bo16bo2bo26b2o5b2o53b2o5b2o99bo9bo33b2o$90bo4b
o56bobo83b2o9bobo13bo33bo6bo54bo6bo119b2o30b2o$92b2o58bo58b2o3b2o12b3o
bobo12bo17bobobobo27bo6bo54bo6bo97b2o45bo$86b2o60bobo85bo3b2o3bobo19bo
4b2o25b2o5b2o53b2o5b2o120bobo24bobo$86bobob2o56bo62bo4bo28bo51bo4bobo
4bobo47bo4bobo4bobo94bo23bo24bo$139b2o3bobo65bobo27b2o51bobo6bo6bo45bo
bo6bo6bo120bobo3bo23bo$86bo2bo49bo4bo65bo3bo25bo72bo61bo90b2o4bo23bo3b
obo19bobo$87bo53b2o40b2o55b2o51b2o60b2o113bobo25bo5bo21bobo$68bo3b2o
13bo47b2o46bo3bo18bobobobo100b2o60b2o89bo7bobo27bobo13b2o6bo$66bobo4bo
61bobob2o44bobo18bo6bo80bo61bo111b2o6bo18bobobobo6bo21bo$70bobo111bo4b
o12bobo7b2o96bobo18bo3b2o35bobo92bo10bo16bo5bo6bobo9bo$64b2o69bo2bo63b
o92b2o13bo18bobo4bo20b2o13bo77bo18b2o12bo9bo9bobo6bo5bo11b2o$72bo63bo
47b2o3b2o7bobo79b2o3bo22bo24bobo32bobo77bobo17bo9b2o3bobo19bo6bobobobo
$65bo70bo61bo81bo4bobo7bo31b2o29bo9bo34bo48bo17b2o9bo10b2o13bobo19bo$
72b2o112bobobo3bobo84bobo9bo6bo6b2o26bo30bo34bobo42b2o21bo9b2o5b2o13b
2o6bo5bo$66b2o120bo5bo93b2obobo6bobo24bo31b2o44bo46b2o17b2o9bo11bobo3b
obo8bobo3bo10b2o$65bo3bobo118bobo87b3obobo9bobo5bobo28b2o28b2o32b2o45b
o23bo9b2o5bo8bo16bo3bobo$63bobo3bo96b3o117bo3bo5bo7bo20b2o4bo28bo32bo
11b2o47bobo15b2o9bo5bo8bobo9bo16bo$63bo85b3o36bobo101bobo34bobo5bo24bo
bo26bobo5bo44b2o10bo14bo9b2o6bobo16bobo9b2o$61b2o102b2o2bobo16b2o62b2o
38bo32bo7bo28bo32bobo9bobo48bobo12b2o9bo15bo11bobo11b2o$55bo92b2o2bo
18bo79bobo73b2o8b2o50b2o6bo11bo34bo15bo11bo9b2o8b2o12b2o6bo6bo$55bobo
2b2o104bo6bo152bo6b2o76bo43bo6bobo9b2o9bo14b2o14bo6bobo$53bo5bo27b2o4b
2o54bo2b2o93bobob2o3bo71b2o6bo53bo51b2o11bobo6bo8bo9b2o8bo12bo16bo$59b
o27bo4bobo72b2o4b2o72bo8bobob3o64bo6b2o56bo18b2o23bo16bo12bo8b2o9bo8bo
6bobo11b2o$52b2o35b2o59b3o68b2o4bo15bobo7b2o74b2o6bo54bobo39bobo6bo14b
2o14bo9b2o9bobo6bo$60b2o30b2o74bo6bo45bobobobo15bo15bobo66bo6b2o59bo
16bo24bo6bo6b2o12b2o8b2o9bo11bo15bo$54bo32b2o81bo58bo9bobo13bobo4bo67b
2o6bo57bobo33b2o11bobo11bo15bo9b2o12bobo$60bo33b2o32bo7b2o32bobo2b2o
44bo2bo14bo17bo3b2o66bo6b2o75b2o23b2o9bobo16bobo6b2o9bo14bo10b2o$52bob
obobo26b2o41bobo5b2o84bo3bobob2o3bobo93b2o6bo59b2o31bo16bo9bobo8bo5bo
9b2o15bobo$52b2o4bo37b2o22b2o2bobo46b3o46bo3bo8bo94bo6b2o76bo24bobo3bo
16bo8bo5b2o9bo23bo$83b2o35bo3bo6b2o3b4o92b2o98b2o6bo58bo30b2o10bo3bobo
8bobo3bobo11bo9b2o17b2o$98b2o17b2obobo10bobo3bo90bo75bo24bo6b2o75b2o
27bo5bo6b2o13b2o5b2o9bo21b2o$81b2o33bobo2bo14b2o92b2o72bobo26b2o6bo55b
2o7bo23bo19bobo13b2o10bo9b2o17bo$100b2o14bobo3bo10bo168bo5bo23bo6b2o
65bobo8bo23bobobobo6bo19bobo3b2o9bo17bobo$79b2o36bo6bo7bo2bo2bo161bobo
6b2o2bo20b2o6bo54bo6bo23b2o11bo5bo6bobo9bo9bo12b2o18bo$102b2o20bobo5bo
3b2o175bobo17bo6b2o67b2o6b2o20bo9bobo6bo5bo16bo10bo$72b2o3b2o29b2o18bo
bo167b2o11bo23b2o6bo51b2o6b2o24bo21bo6bobobobo18bo6b2o$72bo31b2obobo
18bo187b2o16bo6b2o67bo3bobo14bo6b2o13bobo27bobo7bo$73bob2o222bo9b2o25b
2o6bo51bo3bobo11bo16bobo21bo5bo25bobo$106bo2bo51b3o6bo145bo18bo6b2o56b
o10b2o22bobo19bobo3bo23bo4b2o$72b3o33bo59bobo129b2o4bo3bo26b2o6bo51b2o
36bo23bo3bobo$108bo37b3o11b2o2bobo5bo129bobobo5bobobo19bo6b2o65b2o30bo
24bo23bo$166bo35b3o103bo3bo4b2o19b2o6bo49b2o42bobo24bobo$145b2o2bo10bo
11b2o128bo34bo6b2o63b2o33bo45b2o$200b2obo104b2o9bo19b2o6bo47b2o41b2o
30b2o$145bo3b2o7b2o11bo32bo17b2o9b2o66b2o35bo6b2o61b2o34b2o33bo9bo$45b
o119bo32b2o3b2o17bobo7bobo72bo11b2o19b2o6bo45b2o42bo31bo8bobo$43bobo
97b2o3bo10bo5bobo2b2o131bobo33bo6b2o59b2o37bobo3bo5bo3bo5bo6bobo10b2o$
47bobo111bobo32b2o26bobo3bobo72bo2b2o6bobo22b2o6bo43b2o41b2o10bo3bobob
obo3bobobobo6bo6b2o$41b2o6bo94bo2b2o12bo6b3o139bo5bo23bo6b2o57b2o42bo
9bo10bobo16bo$51bo142b2o30bobobo81bobo27b2o6bo41b2o42bo18bo9bo5bo11bo$
42bo102b3o164bo28bo6b2o55b2o40bobobobo3bobobobo3bobo20b2o$51b2o13b2o
29bo94b2o30b2o3bo113b2o6bo39b2o41b2o11bo5bo3bo5bo3bo15bobo$43b2o20bo2b
o9b2o5b2o9bobo13bo110bo115b2o8b2o53b2o39bo41bobo$53bo12b3o10bo2bo2bo
10bobo7bob2obobob2obo71b2o35bobobobo55b2o53bo7bo37b2o43bo45bobo3bo$44b
o8bo25bobobobo6bob2obob2obo3b2obobobobob2o102b2o10bo51b2obobo49bo5bobo
54b2o32bo6b2o$51b2o2bo12b3o9bobobo7b2obobobob2o7bobobo73b2o35bobo7bo
49bo60bo4b2o36b2o46bobo39bobo$45b2o9b2o9bo2bo11bo14bo14bo108bo3b2o59bo
3bo50b2o59b2o37bobo$47bo2b2o15bo14bo14bo14bo73b2o47b2o113bo37b2o51bo
35bobo$49bo8bo6bo3bo10bo3bo10bo3bo10bo3bo104b2o66b2obobo49bo58b2o$49bo
134b2o51bobo7bo43b2o56b2o36b2o74b2o10bobo$58b2o4b2o3b2o8b2o3b2o8b2o3b
2o8b2o3b2o104bo18bo5bobo38b2o54bobo55b2o61bobo$50b2o130b2o57bobo5bobo
3b2o84bo4bobo37b2o85bobo$57bo8bobo12bobo12bobo12bobo106bobo20bo7bo4bo
28b2o54b2o3bo52b2o64bobo$51bo15bo2bo11bo14bo14bo67b2o37bo4bo7bo20bobo
129b2o84bobo$53bobobobo8b3o9bobobo7b2obobobob2o7bobobo104b2o3bobo5bobo
49b2o112b2o67bobo$53bo4b2o19bobobobo6bob2obob2obo3b2obobobobob2o59b2o
48bobo5bo18bo128b2o85bo$66b3o10bo2bo2bo10bobo7bob2obobob2obo109bo7bobo
44b2o112b2o69bo$65bo2bo9b2o5b2o9bobo13bo63b2o77b2o126b2o85bobo$66b2o
29bo141b2o41b2o112b2o39bo4b2o22bobo$174b2o73b2o3bo127b2o53bobobobo28bo
bo$240bo7bobo30b2o112b2o38bo28bobo$167b2o3b2o68bo10b2o126b2o58bo3bo17b
o10bobo$167bo74bobobobo31b2o112b2o38b2o9bobo15b2o10b2o$168bob2o80bo
127b2o10bo48b3o$246bo3b2o27b2o97bo11bobo3bo39bo11b2o$167b3o206bobo3bo$
245bobobo28b2o108b2o6b2o38b2o11bo$374b2o6b2o58b3o$243bobo3bobo25b2o64b
o44bo6bo42bobo9b2o$341bobo31bo8bobo53bo3bo$98bo142bobo7bobo22b2o28bo7b
o24bo5bo40bo7b2o54bo$98bobo140b2o9b2o50bobo5bobo22bobo36b2o64bobobobo$
94bobo178b2o31bobo5bo28b2o46bo48b2o4bo$41bo52bo6b2o199b2o6bo24b2o40bo$
41bobo15bo32bo181b2o40b2o29bobo42b2o$39bo5bo13bobo39bo201bo3bo28bo3bo
8bo28b2o$45bobo7bobo33b2o180b2o32bobo8bo21bobo8bo42bobo$38b2o15bo6b2o
35b2o167b2o34b2o31b2o40bo16bo$48b2o3bo39bobo172bobob2o36b2o6b2o23b2o6b
2o45bobo11b2o17b2o73bo18bo$40bo21bo32bo3bo43bo159b2o31b2o42b2o18bo11bo
19bo73bobo14bobo$48bo3b2o43bo43bobo126bo3bo36bo3bobo26bo3bobo51bo10bob
o3bo5bo3bobo72bo22bo$40b2o18b2o36bo46bo129bo26b2o11bo19b2o11bo32bo37bo
bobobo76b2o5b2o10b2o$46bobo5bo41bo3bo38b2o129bobob2o36b2o31b2o36bo11bo
6b2o11bobo9bobo90bo6b2o$42bobo15bo39bobo42b2o123b2o29b2o31b2o47bobo9bo
bo24bo78bo7bo$44bo3bobobobobobo36b2o42bo171b2o31b2o47bo5bobo12b3obobo
3bobob3o87b2o6bo$58bo44b2o42bobo150b2o31b2o51b2o11bo20bo3bo75b2o5b2o
15b2o$48bo3bo41bo42b2o10bo160b2o31b2o47b2o112bo12bo$42bo60bo47bo147b2o
31b2o53bo100bo13bobo16bobo$42bobobobob2o41b2o6bo36bo170b2o31b2o45bobo
96bobo13bo16bo$40bo58bobo38bo7bobob2o144b2o31b2o56bo94bobo$46bo4b2o42b
obo42bobo5bo159b2o31b2o141bo6b2o$39b2o56bo20b2o24bobo7b2o141b2o31b2o
150bo$47b2o3b2o63bobo24bo162b2o31b2o149bo$38bo76bo40b2o138b2o31b2o150b
2o$47bo5b2o58bobo2bo187b2o31b2o148b2o$37b2o6bo112b2o135b2o31b2o153bo$
43bobo8b2o55b2o4b2o186b2o31b2o73b2o3bo5bo3b2o60bo$39bobo118b2o55b2o4bo
70b2o31b2o84bo4bobobobo4bo53b2o$41bo13b2o54bo4bo100bobobobo80b2o31b2o
75bobo9bobo62b2o$162b2o61bo67b2o31b2o93bo60bo$56b2o51b2o4b2o17b2o81bo
2bo82b2o31b2o75b3obobo3bobob3o61bo$131bobobo28b2o52bo3bobob2o64b2o31b
2o92bo3bo57b2o27bo$57b2o50bo2bobo14bobo86bo3bo79b2o31b2o152b2o19bobo$
112bo14bo5b2o31b2o60b2o61b2o31b2o157bo24bo$58b2o48bobo14bobo173b2o31b
2o154bo16bo5b2o$107bo25bo34b2o60b2o58b2o31b2o158b2o22bo7bo$59b2o46b2o
14b2o6bo168b2o31b2o156b2o12bo$129bobo38b2o60b2o55b2o31b2o158bo33b2o$
60b2o62bo2bo159bo11b2o19bo11b2o157bo12b2o$122bo2bobo44b2o60b2o49bobo3b
o26bobo3bo156b2o6bo26bo$61b2o59b2o174b2o31b2o154bobo16bo7bo$148b2obo
22b2o60b2o45b2o6b2o23b2o6b2o95bo25bo35bobo21b2o5bo$62b2o84bo3b2o39bo
103b2o31b2o33bo4b2o10b2o4bo30bobo25bobo35bo27bo$149bo26b2o13bobo44b2o
44bo8bobo21bo8bobo36bobobobo10bobobobo34bo21bo63bobo$63b2o86bo43bo99bo
3bo19bo8bo3bo30bo26bo26b2o31b2o59bo$149bo28b2o9b2o49b2o43b2o32bobo47bo
14bo38b2o19b2o$64b2o13bo72b2o41b2o95bo6b2o31b2o28b2o26b2o25bo33bo$79bo
bo66b2o30b2o7bo52b2o42bo5bobo27b2o46b2o10b2o41bobo3bo5bo3bobo$65b2o8bo
bo74bo34bo9bo90bobo5bobo30bobo32bo24bo25b2o10bo3bobobobo3bo10b2o$75bo
6b2o66bo31b2obobo56b2o42bo7bo26bo5bo41bo10bo46bo9bo$66b2o5bo77bo45b2o
126bobo36b2o7bo6bo7b2o25bo18bo18bo$82bo66bo34bo61b2o77bo47bobo2bobo45b
obobobo3bobobobo$67b2o3b2o78b2o32bo7bobo169bo20bo25b2o11bo5bo3bo5bo11b
2o69bo3bo$80b2o66b2o36bobo5bo53b2o126b2o46bo19bo80bobo2b2o$68b2o4bo77b
o37bobo173b2o6bo4bo6b2o26bo39bo70bobo$80bo69bo39bo59b2o120bobo4bobo34b
o6b2o19b2o6bo76bo$69b2obobobobo73bo215bobo12bobo30bobo31bobo73bo$78bo
39b2o28b2o3bo98b2o116bo12bo36bobo23bobo79bobo$68bo3bo42bobobo30bob2o
266bo27bo75b2o2bobo$62bo52bo138b2o270bo3bo$62bobobobobobo3bo38bo3bo
141bo3bo$60bo15bobo41bo135b2obobo3bo197bo$66bo5bobo41b2o2bo101bo40bo2b
o38bo18bo138bobo29bo$59b2o18b2o41bo97bobo35bo46bobo14bobo136bo31bobo$
67b2o3bo43bo107bo35bobobobo34bobo22bobo137b2o23bo5bo$58bo21bo41b2o94b
2o5b2o33bo4b2o34bo6b2o10b2o6bo131b2o27bobo$67bo3b2o41b2o183bo30bo136bo
29b2o$57b2o6bo15b2o38bo97bo7bo81bo10bo108bo23bo3bobo27b2o$63bobo7bobo
39bo105bo6b2o68b2o11bo6bo11b2o97bobo19bobo3bo10b2o29bo$59bobo13bo5bo
35bobobobo34bo62bo89bobo2bobo106bobo21bo5bo32bo$61bo15bobo37bo38bobo
63bo7bo69bo28bo95bo6b2o13bobo19bo29b2o15bo$79bo43bobo34bo63bo6b2o81b2o
107bo21bo6bobobobo30b2o23bobo$124b2o28b2o68bo75b2o10bo4bo10b2o103bo9bo
bo6bo5bo11b2o24bobo13bo5bo$160b2o63bo7bo76bobo4bobo102b2o11bo5bo6bobo
9bo29bo5bo13bobo$154bo72bo6b2o66bo24bo107bobobobo6bo21bo21bobo13bo9b2o
$162bo64bo80b2o10b2o102bo19bobo13b2o6bo23bo13bobo$152b2o74bo7bo65b2o
22b2o110bo5bo21bobo46bobo$159bobob2o65bo77bo12bo102b2o10bo3bobo19bobo
39b2o9bo$153bo5bo70bo5b2o66bobo16bobo108bobo3bo23bo46bobo$155bobo7b2o
64bo74bo16bo23b2o77bo78bo5bo$155bo77bobo111bo84b2o73bobo$102bo64b2o64b
o114bobobo73b2o79bo$102bobo247bo79bo$98bobo68b2o175b2o6bo73bobo58bo$
98bo6b2o323bo56bobo38bo$57bo38bo74b2o174bo6b2o129bo5bo34bobo$39bo15bob
o47bo243bo133bobo44bo$37bobo13bo5bo35b2o76b2o174bobobo137b2o31b2o$41bo
bo7bobo49b2o249bo126b2o47b2o$35b2o6bo15b2o36bo77b2o152b2o22b2o133bobo
33bo$45bo3b2o52bo148bo23bo52bo152bo5bo20bo12bo4bobo$36bo21bo36bobobobo
75b2o73bobo19bobo53bobobo149bobo20bobo10bobo4bo$45b2o3bo50bo146bobo5bo
5bo3bo5bo5bobo53bo2b2o145bo26bo13bo$37b2o18b2o30bo3bobo83b2o67bo7bobob
obo3bobobobo7bo47b2o6bobo166b2o11b2o$44bo5bobo34bobo156bo17bo17bo99b2o
4bo3b2o117b2o11b2o$38bo15bobo28bo5bobo87b2o76bo9bo58bo7bo45bobobobo4bo
112bo12bo$40bobobobobobo3bo28bobo159b2o10bo3bobobobo3bo10b2o106bobo22b
2o91bobo10bobo$40bo52bo89b2o70bobo3bo5bo3bobo52bobo6b2o47bo26b2o3bo91b
o12bo$46bo3bo30b2o164bo33bo44b2o2bo61bo18bobobo$56bo31bo4b2o90b2o66b2o
19b2o54bobobo47b2o$47b2obobobobo25bo3bobo158b2o31b2o53bo56b2o19bobobo$
58bo25bo5bobo94b2o64bo21bo58b2o47bo28bo3b2o$46b2o4bo31bo7bo156bobo25bo
bo81b2o28bo20b2o$58b2o22bo106b2o60bo25bo79b2obobo20bobo105bo$45b2o3b2o
41b2o107bo154bo24bo4bobobobo95bobo$60bo20b2o108b2o7bobo155bo3bo19b2o3b
o4b2o99bo$44b2o5bo41bo104bo5bo108b2o2b2o168b2o$53bo6b2o21bobo5bo101b2o
bobo114bo2bobo37b2o4b2o63b2o13b2o10b2o37b2o$43b2o8bobo29bo3bobo112b2o
108bo100b2o11bo13bobo10bo31bo$57bobo27bo107bo122bo38bo3bo53bobo7bobo
24bobo30bo6bo$42b2o13bo30bo114bo108b2o48bo81bobo14b2o2b2o16bobo24bo$
86bo109b2o120b2o37bobob2o54bobo3bobo24bobo8bobo2bo24b2o15bobo$41b2o46b
2o111b2o109bo43b2o87bobo16bo15b2o23bo5bo$85b2o110bo62bo14bo39bobo101bo
bobo26bo11bo25bobo13bobo$40b2o47bo109bobo58bobo10bobo39bo131bo13bo2bob
o15bo5bo23b2o$33bo53bo111bo56bobo5bo6bo5bobo141bobobo23bobo9b2o2b2o17b
obo15b2o$31bobo5b2o46bo168bo7bobo2bobo7bo165bobo36bo26bo$35bobo47bo
168bo26bo137bobo3bobo23bobo48bo$29b2o6bo3bobo41bo151bo29b2o174bobo64b
2o$43bo39bo139b2o8bo3bo15b2o10bo4bo10b2o134bobo7bobo12bo10bobo44b2o$
29bo15bobo35bo139bobobobobobobo2bo24bobo4bobo143bo11b2o12b2o10b2o51bob
o$27bo19bo33bo146bo4bo21bo24bo135b2o83bo5bo$27bo21bo29bo3bo19b2o2bo
115bo2bobobobobobobo22b2o10b2o228bobo$25bo3bo47bobo23bobobo116bo3bo8b
2o16b2o22b2o222bo$49b2o32b2o22bo116bo36bo12bo$24b2o3b2o44b2o28bo151bob
o16bobo$47bo3bo33bo19bo153bo16bo$21bobo7bobo13bobo26bo26bo29bobo29bobo
$21bo11bo11bo5bobo3bo20bo6b2o16bo30bo2bo25bo2bo$19bo15bo21bobo18bobo
20bo29b2obobo2bobobobobobobobobobobobo2bobob2o$44b2o7bobo26bobo16bo32b
obobo2bo2bo2bo2bo2bo2bo2bo2bobobo$18b2o15b2o23b2o20bo16bo32bobobobobob
obobobobobobobobobobobobobo$22bo20bo9bo45bo29bo3b2obo27bob2o3bo$18bobo
bo9bobo26bo35bo30bobo39bobo$12bo11bo7bo9b2o8b2o41bo3bo28bob5o31b5obo$
12bobobobo11bo31b2o29bobo33bo41bo351bo$10bo13b2o13bobo12bobo42b2o30bob
o33bobo353bobo$16bo12b2o8bo16bo5bo28b2o38bo37bo351bo4bo$9b2o15bo8bobo
20bobo37bo422b6o$17b2o9bo6bo24bo31bo$8bo15bobo6bo60bobobobo422b2o$17bo
11b2o63bo428b2o$7b2o6bo6bobo7b2o66bobo355b2o$13bobo13bo428bobo$9bobo8b
obo11bo67bobo343b2o$11bo6bo8b2o10bo20b2o386bobo9bobo$16bobo3bo11b2obob
o19bobo42bobo$14bo13bo12bobo406bobo9bobo$12bobo7b2o6bobob2o7bo13bobo
46bobo264bo77b2o$4b2o4bo19bo14bobo7bo5bo45b2o259bo3bobo3bo85bobo$4bobo
bobo10bo13bo11bo5bobo3bobobo303bobobobobobobo$33bo15bobo199bo2bobo2bob
o2bobo2bobo2bobo2bobo2bo82bobobobobobobo86bobo$2o3b2o13b2o9bobobobo3bo
9bo7b2o3b2o185b4ob4ob4ob4ob4ob4ob4o80b3obobo3bobob3o85b2o$o40bobo320bo
4bo7bo4bo22bobo$bob2o14bo9b2o6bobo20bo4bo185b3ob2ob4ob2ob4ob2ob4ob2ob
3o80b3o11b3o21bo2bo2bo96b2o$44b2o16bobo112bo2bobo2bobo2bobo2bobo2bobo
2bobo2bo32bo6bo4b2o6b2o6b2o6b2o4bo6bo75bo9bo22bo2bobobo2bo93bo2bo$3o
15b2o10bo6bo24bo3bo110b4ob4ob4ob4ob4ob4ob4o32bobo9b2o6b2o6b2o6b2o9bobo
72b2o13b2o20bobobobobo95b3o$28bo16bo19b2o174bo9b3ob2ob4ob2ob4ob2ob4ob
2ob3o9bo20b2o47bo2bo11bo2bo17b2o2bobobo2b2o$20bobo3bobobobo3b2o139b2ob
4ob2ob4ob2ob4ob2ob4ob2o30b6o42b6o19bo2bo45bobo15bobo18b2obobob2o95b3o
3bo$22bo23b2o129b2o6b2o6b2o6b2o6b2o40b2ob4ob2ob4ob2ob4ob2ob4ob2o28bo2b
o47bo2bo11bo2bo16b3o3bobo3b3o88b2obo3bobobo$24b2o6bobo3bobo136b2o6b2o
6b2o6b2o6b2o32b2o2bobob2o6b2o6b2o6b2o6b2obobo2b2o21b2ob3o45b2o13b2o20b
3o3b3o90bobobo3bobobo$40bo5bo60bo16bo53bob4ob2ob4ob2ob4ob2ob4obo33bo5b
ob2o6b2o6b2o6b2o6b2obo5bo22bo4bo47bo9bo19b4o9b4o86bobobo3bob2o$25b2o7b
obo5bobo60bobo7bo8bobo117bo6b2ob4ob2ob4ob2ob4ob2ob4ob2o6bo23bo4bo44b3o
11b3o20b3o3b3o91bo3b3o$44bo59bo4bo4bobo5bo4bo50bob4ob2ob4ob2ob4ob2ob4o
bo33b2o46b2o23b3ob2o42bo4bo7bo4bo16b3o3bobo3b3o$26b2o8bobo65b5o4bo2b3o
4b5o49b2o6b2o6b2o6b2o6b2o40b3ob2ob4ob2ob4ob2ob4ob2ob3o34bo2bo42b3obobo
3bobob3o20b2obobob2o95b3o$109bo2bob2o3bo2bo54b2o6b2o6b2o6b2o6b2o44b2o
6b2o6b2o6b2o37bo2bo45bobobobobobobo20b2o2bobobo2b2o93bo2bo$27b2o9bobo
65b2o5bo2b3o5b2o51b2ob4ob2ob4ob2ob4ob2ob4ob2o39bo4b2o6b2o6b2o6b2o4bo
33b2o46bobobobobobobo22bobobobobo96b2o$46bo59bo3b3o2bo3b3o3bo125b3ob2o
b4ob2ob4ob2ob4ob2ob3o83bo3bobo3bo22bo2bobobo2bo$28b2o10bobobobo60bo5b
2o2b2o5bo52b2ob4ob2ob4ob2ob4ob2ob4ob2o162bo29bo2bo2bo$48bo57b2o3b2o2b
2o2b2o3b2o51b2o6b2o6b2o6b2o6b2o40b2ob4ob2ob4ob2ob4ob2ob4ob2o120bobo$
29b2o11bo70bo4bo11b2o45b2o6b2o6b2o6b2o6b2o33bo6b2o6b2o6b2o6b2o6b2o6bo
229b2o3b2o$48b2o61bob6obo8bo2bo45bob4ob2ob4ob2ob4ob2ob4obo32bobo6b2o6b
2o6b2o6b2o6b2o6bobo227bo2bo2bo$30b2o10bobo67bo6bo8bobobo108bo4bo5bob4o
b2ob4ob2ob4ob2ob4obo5bo4bo227b5o$46bo3bo61bob4obo14bo43bob4ob2ob4ob2ob
4ob2ob4obo31b5o44b5o$31b2o7bobo3bobo77b2o49b2o6b2o6b2o6b2o6b2o35bo3b4o
b2ob4ob2ob4ob2ob4ob2ob4o3bo227b2o3b5o3b2o$50bobo3bo77b2o41b2o6b2o6b2o
6b2o6b2o32b2o3bo6b2o6b2o6b2o6b2o6bo3b2o224bobobobo3bobobo$32b2o4bobo
15bobo53bob4obo7bo49b2ob4ob2ob4ob2ob4ob2ob4ob2o32bo4bo6b2o6b2o6b2o6b2o
6bo4bo75bobo148bob2o4bobo$52bobo57bo6bo9bobobo110bo5b4ob2ob4ob2ob4ob2o
b4ob2ob4o5bo74bo2bo2bo29bo115b2obo5bob2o$33b2obobo20b2o50bob6obo8bo2bo
44b2ob4ob2ob4ob2ob4ob2ob4ob2o32b2o46b2o71bo2bobobo2bo25bobo116bobo4b2o
bo$52bo60bo4bo11b2o45b2o6b2o6b2o6b2o6b2o41bob4ob2ob4ob2ob4ob2ob4obo78b
o2bobobobobo2bo19bobo5bobobo56bo51bobobo3bobobobo$32bo3bo23bo45b2o3b2o
2b2o2b2o3b2o51b2o6b2o6b2o6b2o6b2o40b2o6b2o6b2o6b2o6b2o78bobobobobobobo
18b2o2bo6bo2bo56bobo49b2o3b5o3b2o$26bo24b2o54bo5b2o2b2o5bo53bob4ob2ob
4ob2ob4ob2ob4obo41b2o6b2o6b2o6b2o6b2o76b2o2bobobobobo2b2o18b2o8b2o2bo
19bo33bobo$26bobobobobobo3bo20b2o43bo3b3o2b2o2b3o3bo125b2ob4ob2ob4ob2o
b4ob2ob4ob2o78b2o3bobo3b2o17b3o12b2o18b2o12bo23bo55b5o$24bo15bobo10bob
o50b2o5b2o3bo5b2o52bob4ob2ob4ob2ob4ob2ob4obo150b3o6bo6b3o17b2o8b2o3bo
18b2o8b2o79bo2bo2bo$30bo5bobo16bo5bo47bo2bo3b2obo2bo54b2o6b2o6b2o6b2o
6b2o40b4ob4ob4ob4ob4ob4ob4o78b2o9b2o16b4o2bo6bo2b3o16b3o12b2o77b2o3b2o
$23b2o18b2o12bobo44b5o4b3o2bo4b5o49b2o6b2o6b2o6b2o6b2o40bo2bobo2bobo2b
obo2bobo2bobo2bobo2bo74b4o2bo7bo2b4o16b2o8b2o3bo18b3o6b3o$31b2o3bo22bo
44bo4bo5bobo4bo4bo49b2ob4ob2ob4ob2ob4ob2ob4ob2o152b2o9b2o17b3o12b2o16b
4o12b3o27b2o9b3o14b2o4b2o$22bo21bo60bobo8bo7bobo233b3o6bo6b3o17b2o8b2o
2bo19b4o6b2o30bo9b3o15bobo2bobo$31bo3b2o70bo16bo52b4ob4ob4ob4ob4ob4ob
4o152b2o3bobo3b2o18b2o2bo6bo2bo18b3o12b2o31bo26bo2bo$21b2o6bo15b2o130b
o2bobo2bobo2bobo2bobo2bobo2bobo2bo150b2o2bobobobobo2b2o18bobo5bobobo
21b3o8bo32b2o26bo2bo$27bobo7bobo323bobobobobobobo24bobo25b2o73b2o$23bo
bo13bo5bo316bo2bobobobobo2bo25bo27b2o59b3o$25bo15bobo320bo2bobobo2bo
54bo$43bo322bo2bo2bo$368bobo!

[Entity Valkyrie 2]

EDIT: Almost P3:

Code: Select all

x = 6, y = 6, rule = B3/S23
2o$obo$bo$3bo$3bobo$3bo!

Some solutions:

Code: Select all

x = 57, y = 115, rule = B3/S23
15b2o30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$12bo7b2o25bo6b2o$12bo2bo
2bo3bo23bo2bo2bo3bo$5b2o14bo17b2o14bo$2bob4ob2ob2ob4obo15bob4ob2ob2ob
4obo$bo14b2o17bo14b2o$o3bo2bo2bo23bo3bo2bo2bo$b2o6bo25b2o6bo14$15b2o
30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$12bo7bo26bo6bo$12bo2bo2bo2bo
24bo2bo2bo2bo$5b2o15bo16b2o15bo$b2ob4ob2ob2ob4ob2o13b2ob4ob2ob2ob4ob2o
$o15b2o16bo15b2o$bo2bo2bo2bo24bo2bo2bo2bo$2bo6bo26bo6bo14$15b2o30b2o$
14bobo29bobo$15bo31bo$11b3o29b3o$21b2o32b2o$12bo7bobo24bo6bobo$12bo2bo
2bo27bo2bo2bo$5b2o13bo18b2o13bo$4b4ob2ob2ob4o19b4ob2ob2ob4o$2bo13b2o
18bo13b2o$4bo2bo2bo27bo2bo2bo$obo6bo24bobo6bo$2o32b2o13$15b2o30b2o$14b
obo29bobo$15bo31bo$11b3o29b3o2$12bo7bo23bo5bo$11bo2bo4bo2bo18bo2bo4bo
2bo2$9b3ob2ob2ob2ob3o14b3ob2ob2ob2ob3o$8bo3b3o4b3o3bo12bo3b3o4b3o3bo$
8bobobob2o2b2obobobo12bobobob2o2b2obobobo$9b2o12b2o14b2o12b2o$11bobob
4obobo18bobob4obobo$11bobobo2bobobo18bobobo2bobobo$10b2ob2o4b2ob2o16b
2ob2o4b2ob2o11$15b2o30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$6bo5bo23bo
7bo$4bo2bo4bo2bo18bo2bo4bo2bo2$2b3ob2ob2ob2ob3o14b3ob2ob2ob2ob3o$bo3b
3o4b3o3bo12bo3b3o4b3o3bo$bobobob2o2b2obobobo12bobobob2o2b2obobobo$2b2o
12b2o14b2o12b2o$4bobob4obobo18bobob4obobo$4bobobo2bobobo18bobobo2bobob
o$3b2ob2o4b2ob2o16b2ob2o4b2ob2o!

[mniemiec]

EDIT: Almost P3: ...

Some solutions: ...

Nice! However, the top three on the right don't work as shown.

[Entity Valkyrie 2]

FIXED:

Code: Select all

x = 56, y = 115, rule = B3/S23
15b2o30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$12bo7b2o22bo5b2o$12bo2bo
2bo3bo19bo2bo2bo3bo$5b2o14bo13b2o14bo$2bob4ob2ob2ob4obo11bob4ob2ob2ob
4obo$bo14b2o13bo14b2o$o3bo2bo2bo19bo3bo2bo2bo$b2o6bo21b2o6bo14$15b2o
30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$12bo7bo23bo5bo$12bo2bo2bo2bo
20bo2bo2bo2bo$5b2o15bo12b2o15bo$b2ob4ob2ob2ob4ob2o9b2ob4ob2ob2ob4ob2o$
o15b2o12bo15b2o$bo2bo2bo2bo20bo2bo2bo2bo$2bo6bo22bo6bo14$15b2o30b2o$
14bobo29bobo$15bo31bo$11b3o29b3o$21b2o28b2o$12bo7bobo21bo5bobo$12bo2bo
2bo23bo2bo2bo$5b2o13bo14b2o13bo$4b4ob2ob2ob4o15b4ob2ob2ob4o$2bo13b2o
14bo13b2o$4bo2bo2bo23bo2bo2bo$obo6bo20bobo6bo$2o28b2o13$15b2o30b2o$14b
obo29bobo$15bo31bo$11b3o29b3o2$12bo7bo23bo5bo$11bo2bo4bo2bo18bo2bo4bo
2bo2$9b3ob2ob2ob2ob3o14b3ob2ob2ob2ob3o$8bo3b3o4b3o3bo12bo3b3o4b3o3bo$
8bobobob2o2b2obobobo12bobobob2o2b2obobobo$9b2o12b2o14b2o12b2o$11bobob
4obobo18bobob4obobo$11bobobo2bobobo18bobobo2bobobo$10b2ob2o4b2ob2o16b
2ob2o4b2ob2o11$15b2o30b2o$14bobo29bobo$15bo31bo$11b3o29b3o2$6bo5bo23bo
7bo$4bo2bo4bo2bo18bo2bo4bo2bo2$2b3ob2ob2ob2ob3o14b3ob2ob2ob2ob3o$bo3b
3o4b3o3bo12bo3b3o4b3o3bo$bobobob2o2b2obobobo12bobobob2o2b2obobobo$2b2o
12b2o14b2o12b2o$4bobob4obobo18bobob4obobo$4bobobo2bobobo18bobobo2bobob
o$3b2ob2o4b2ob2o16b2ob2o4b2ob2o!

[Entity Valkyrie 2]

I found a stabilization for this P120 queen bee shuttle wick:

Code: Select all

x = 461, y = 321, rule = B3/S23
341bo$341b3o$344bo$343b2o5$332b2o5b2o$332b2o5b2o2$336b2o$336b2o113b2o$
406bo44b2o$382b2o22b3o$382bo26bo$348bo10b2o8b2o12bo24b2o38b2o$346b3o
10b2o9bo5bo5b2o64b2o$346b3o20bo5bobob2o$345bo3bo6b2o5b2o4b2o4bobobob5o
65b2o$346b4o6b2o5b2o7b2obobo3bo4bo64b2o$346b2obo17b5obobobobo3b3o11b2o
5b2o53b2o$366bo4bo3bobo3bobo13b2o5b2o53bo$367b3o3bobo2bob3o74bobo$369b
obo3bo3bo21b2o54b2o$370b3obo13b2o11b2o$373bo14bo$380bo5bobo51b3o$372b
2o6bobo3b2o52bo2bo$371bo2bo6bobo13bo11bobo12b2o16b2o$351b2o18bo2bo6bo
2bo12b3o8bo3bo11b2o$351b2o19b2o7bobo5bo10bo6bo4bo25bo2bo$380bobo4b3o3b
o5b2o6bo4bo8b2o5b2o9b2o$380bo5bo5bobob2o9bo3bo9b2o5b2o12b2o$348b2o36b
2o4bobobob5o5bo2bo29b3o$348b2o39b2obobo3bo4bo38bo$374bo9b5obobobobo3b
3o36bo2bo$351b2o22bo7bo4bo3bobo3bobo39b2o$351b2o20b3o8b3o3bobo2bob3o$
386bobo3bo3bo46b2o$369bo17b3obo13b2o36b2o$367bobo20bo14bo$368b2o27bo5b
obo$389b2o6bobo3b2o35b2o$349b2o2bo34bo2bo6bobo39b2o$388bo2bo6bo2bo33bo
$349bo3bo29bo5b2o7bobo19bo12b3o$349bo16b2o15b2o12bobo19bo12bo$350bobo
13b2o14bobo12bo21b3o10b2o2$334b2o14b3o$333bobo28bo$333bo30bobo$332b2o
33b2o$340b2o16bobo6b2o$340b2o17bo4bo2b2o$365b3o$343b2o21bo52bobo5b2o3b
2o$343b2o74b2o$420bo7bo3bo$429b3o$340b2o87b3o$340b2o$353bobo$353b2o46b
o30b2o$354bo41bo4bo2bo27bo$395bobo6bo28b3o$349b2o42b2o3bo3bobo30bo$
348bobo42b2o3bo$348bo44b2o3bo$347b2o46bobo$355b2o39bo$355b2o18b2o$375b
2o17bo$358b2o33bobo$358b2o32bo3b2o$392bo3b2o$379b3o10bo3b2o$355b2o22bo
2b2o9bobo$355b2o23b3o11bo2$366bo11b3o$365bobo9b2o2bo$363b2o3bo10b3o$
363b2o3bo$363b2o3bo$365bobo$366bo17b2o$345b2o37b2o$345b2o17bo$363bobo$
362bo3b2o$362bo3b2o$349b3o10bo3b2o$349bo2b2o9bobo$350b3o11bo2$336bo11b
3o$335bobo9b2o2bo$333b2o3bo10b3o$333b2o3bo$333b2o3bo$335bobo$336bo17b
2o$315b2o37b2o$315b2o17bo$333bobo$332bo3b2o$332bo3b2o$319b3o10bo3b2o$
319bo2b2o9bobo$320b3o11bo2$306bo11b3o$305bobo9b2o2bo$303b2o3bo10b3o$
303b2o3bo$303b2o3bo$305bobo$306bo17b2o$285b2o37b2o$285b2o17bo$303bobo$
302bo3b2o$302bo3b2o$289b3o10bo3b2o$289bo2b2o9bobo$290b3o11bo2$276bo11b
3o$275bobo9b2o2bo$273b2o3bo10b3o$273b2o3bo$273b2o3bo$275bobo$276bo17b
2o$255b2o37b2o$255b2o17bo$273bobo$272bo3b2o$272bo3b2o$259b3o10bo3b2o$
259bo2b2o9bobo$260b3o11bo2$246bo11b3o$245bobo9b2o2bo$243b2o3bo10b3o$
243b2o3bo$243b2o3bo$245bobo$246bo17b2o$225b2o37b2o$225b2o17bo$243bobo$
242bo3b2o$242bo3b2o$229b3o10bo3b2o$229bo2b2o9bobo$230b3o11bo2$216bo11b
3o$215bobo9b2o2bo$213b2o3bo10b3o$213b2o3bo$213b2o3bo$215bobo$216bo17b
2o$195b2o37b2o$195b2o17bo$213bobo$212bo3b2o$212bo3b2o$199b3o10bo3b2o$
199bo2b2o9bobo$200b3o11bo2$186bo11b3o$185bobo9b2o2bo$183b2o3bo10b3o$
183b2o3bo$183b2o3bo$185bobo$186bo17b2o$165b2o37b2o$165b2o17bo$183bobo$
182bo3b2o$182bo3b2o$169b3o10bo3b2o$169bo2b2o9bobo$170b3o11bo2$156bo11b
3o$155bobo9b2o2bo$153b2o3bo10b3o$153b2o3bo$153b2o3bo$155bobo$156bo17b
2o$135b2o37b2o$135b2o17bo$153bobo$152bo3b2o$152bo3b2o$139b3o10bo3b2o$
139bo2b2o9bobo$140b3o11bo2$126bo11b3o$125bobo9b2o2bo$123b2o3bo10b3o$
123b2o3bo$123b2o3bo$125bobo$126bo17b2o$105b2o37b2o$105b2o17bo$123bobo$
122bo3b2o$122bo3b2o$109b3o10bo3b2o$109bo2b2o9bobo$110b3o11bo2$96bo11b
3o$95bobo9b2o2bo$93b2o3bo10b3o$93b2o3bo$93b2o3bo$95bobo$96bo17b2o$75b
2o37b2o$75b2o17bo$93bobo$92bo3b2o$92bo3b2o$79b3o10bo3b2o$79bo2b2o9bobo
$80b3o11bo2$66bo11b3o23b2o$65bobo9b2o2bo22b2o$63b2o3bo10b3o$63b2o3bo$
63b2o3bo32b2o$65bobo33b2o$66bo17b2o$84b2o18b2o$64bo39b2o$63bobo46b2o$
62bo3b2o44bo$62bo3b2o42bobo$25bo30bobo3bo3b2o42b2o$25b3o28bo6bobo$28bo
27bo2bo4bo41bo$27b2o30bo46b2o$105bobo$119b2o$29b3o87b2o$29b3o$28bo3bo
7bo$40b2o74b2o$27b2o3b2o5bobo52bo21b2o$93b3o$92b2o2bo4bo17b2o$92b2o6bo
bo16b2o$92b2o33b2o$94bobo30bo$96bo28bobo$108b3o14b2o2$27b2o10b3o21bo
12bobo14b2o13bobo$28bo12bo19bobo12b2o15b2o16bo$25b3o12bo19bobo7b2o5bo
29bo3bo$25bo33bo2bo6bo2bo$19b2o39bobo6bo2bo34bo2b2o$19b2o35b2o3bobo6b
2o$55bobo5bo27b2o$55bo14bo20bobo$16b2o36b2o13bob3o17bo$16b2o46bo3bo3bo
bo$61b3obo2bobo3b3o8b3o20b2o$19b2o39bobo3bobo3bo4bo7bo22b2o$18bo2bo36b
3o3bobobobob5o9bo$18bo38bo4bo3bobob2o39b2o$17b3o29bo2bo5b5obobobo4b2o
36b2o$17b2o12b2o5b2o9bo3bo9b2obobo5bo5bo$20b2o9b2o5b2o8bo4bo6b2o5bo3b
3o4bobo$19bo2bo25bo4bo6bo10bo5bobo7b2o19b2o$35b2o11bo3bo8b3o12bo2bo6bo
2bo18b2o$17b2o16b2o12bobo11bo13bobo6bo2bo$17bo2bo52b2o3bobo6b2o$18b3o
51bobo5bo$72bo14bo$58b2o11b2o13bob3o$2b2o54b2o21bo3bo3bobo$bobo74b3obo
2bobo3b3o$bo53b2o5b2o13bobo3bobo3bo4bo$2o53b2o5b2o11b3o3bobobobob5o17b
ob2o$8b2o64bo4bo3bobob2o7b2o5b2o6b4o$8b2o65b5obobobo4b2o4b2o5b2o6bo3bo
$80b2obobo5bo20b3o$11b2o64b2o5bo5bo9b2o10b3o$11b2o38b2o24bo12b2o8b2o
10bo$51bo26bo$52b3o22b2o$8b2o44bo$8b2o113b2o$123b2o2$120b2o5b2o$120b2o
5b2o5$116b2o$116bo$117b3o$119bo!

[calcyman]

I found a stabilization for this P120 queen bee shuttle wick:

Impressive! The queen bee shuttles are regenerated on the same axis of symmetry, so the wick can accommodate a bend:

Code: Select all

x = 461, y = 200, rule = B3/S23
341bo$341b3o$344bo$343b2o4$349bobo$332b2o5b2o8bobo3bo$332b2o5b2o7b2o$
349bo$336b2o13bobobo$336b2o10bo2bob3o95b2o$350bo3bo51bo44b2o$382b2o22b
3o$382bo26bo$359b2o8b2o12bo24b2o38b2o$359b2o9bo5bo5b2o64b2o$369bo5bobo
b2o$356b2o5b2o4b2o4bobobob5o65b2o$356b2o5b2o7b2obobobobo4bo64b2o$367b
5obobobo3bob3o11b2o5b2o53b2o$366bo4bobobo2b2o3bo13b2o5b2o9b2o42bo$367b
3obo3bo3bob2o32bobo39bobo$369bo3b2o26b2o12bo4b2o35b2o$370b2obo14b2o11b
2o17bobo$388bo31bob2o$376bo9bobo30bob2o$374b4o8b2o31b3o28bo$358bo14bob
ob2o18bo26b2o23b3o$351b2o6bo12bo2bob3o17b3o24b2o26bo$351b2o4b3o13bobob
2o10bo10bo48b2ob2o$374b4o9b3o3bo5b2o20b2o5b2o18b2ob2o$376bo9bo5bobob2o
23b2o5b2o18b2ob2o$348b2o13bo22b2o4bobobob5o46bo2bo$348b2o13b2o24b2obob
obobo4bo46b3o$362bobo19b5obobobo3bob3o27bo9b2o8b2o$351b2o30bo4bobobo2b
2o3bo29bobo7b2o$344b2o5b2o31b3obo3bo3bob2o30b2o$344b2o40bo3b2o51b2o$
346bo40b2obo14b2o36b2o$344b3o58bo$343bobo47bo9bobo$344b2o45b4o8b2o35b
2o$343bo46bobob2o44b2o$343bo45bo2bob3o29bo8bo$341bo48bobob2o28bobo6b3o
$366b2o23b4o30b2o5bo$366b2o25bo38b2o2$334b2o$333bobo27b2o64b3o$333bo
29b2o64b3o$332b2o94bo3bo$340b2o24b2o59bo5bo$340b2o24b2o60bo3bo$394bo
34b3o$343b2o27b2o18bobo$343b2o28b2o18b2o6b2o$372bo15bo10bo$356bo32bo9b
obo$340b2o13bobo29b3o8b2obo$340b2o12b2ob2o39b2o$355bo2bo39b3obo$355bo
3bo41b2o29b2o$355bo76bo$433b3o$349b2o84bo$348bobo$348bo$347b2o$355bo$
119bo235b2o$117b3o265bo$116bo241b2o24b2o$116b2o240b2o17b2o4b2o4b2o$
376bo2bo2b3o4b2o$377b2o4b2o4b2o$355b2o27b2o$109bobo243b2o28bo$105bo3bo
bo8b2o5b2o$111b2o7b2o5b2o246bo$111bo263b2o$105bobobo13b2o245b2o4b2o4b
2o$8b2o95b3obo2bo10b2o245b2o4b3o2bo2bo$8b2o44bo51bo3bo259b2o4b2o4b2o$
52b3o22b2o296b2o$51bo26bo296bo$11b2o38b2o24bo12b2o8b2o$11b2o64b2o5bo5b
o9b2o253bo$80b2obobo5bo262b2o$8b2o65b5obobobo4b2o4b2o5b2o242b2o4b2o4b
2o$8b2o64bo4bobobobob2o7b2o5b2o241bo2bo2b3o4b2o$2o53b2o5b2o11b3obo3bob
obob5o253b2o4b2o4b2o$bo42b2o9b2o5b2o13bo3b2o2bobobo4bo259b2o$bobo39bob
o32b2obo3bo3bob3o261bo$2b2o35b2o4bo12b2o26b2o3bo$38bobo17b2o11b2o14bob
2o254bo$37b2obo31bo272b2o$38b2obo30bobo9bo255b2o4b2o4b2o$10bo28b3o31b
2o8b4o253b2o4b3o2bo2bo$9b3o23b2o26bo18b2obobo14bo237b2o4b2o4b2o$8bo26b
2o24b3o17b3obo2bo12bo6b2o235b2o$7b2ob2o48bo10bo10b2obobo13b3o4b2o235bo
$8b2ob2o18b2o5b2o20b2o5bo3b3o9b4o$8b2ob2o18b2o5b2o23b2obobo5bo9bo240bo
$8bo2bo46b5obobobo4b2o22bo13b2o211b2o$8b3o46bo4bobobobob2o24b2o13b2o
204b2o4b2o4b2o$9b2o8b2o9bo27b3obo3bobobob5o19bobo217bo2bo2b3o4b2o$19b
2o7bobo29bo3b2o2bobobo4bo30b2o207b2o4b2o4b2o$29b2o30b2obo3bo3bob3o31b
2o5b2o207b2o$16b2o51b2o3bo40b2o208bo$16b2o36b2o14bob2o40bo$55bo58b3o
198bo$55bobo9bo47bobo197b2o$19b2o35b2o8b4o45b2o193b2o4b2o4b2o$19b2o44b
2obobo46bo192b2o4b3o2bo2bo$25bo8bo29b3obo2bo45bo192b2o4b2o4b2o$25b3o6b
obo28b2obobo48bo195b2o$28bo5b2o30b4o23b2o220bo$27b2o38bo25b2o$295bo$
125b2o167b2o$29b3o64b2o27bobo159b2o4b2o4b2o$29b3o64b2o29bo158bo2bo2b3o
4b2o$28bo3bo94b2o158b2o4b2o4b2o$27bo5bo59b2o24b2o173b2o$28bo3bo60b2o
24b2o174bo$29b3o34bo$66bobo18b2o27b2o167bo$58b2o6b2o18b2o28b2o167b2o$
61bo10bo15bo191b2o4b2o4b2o$59bobo9bo32bo175b2o4b3o2bo2bo$59bob2o8b3o
29bobo13b2o159b2o4b2o4b2o$61b2o39b2ob2o12b2o164b2o$58bob3o39bo2bo179bo
$27b2o29b2o41bo3bo$28bo76bo159bo$25b3o236b2o$25bo84b2o145b2o4b2o4b2o$
110bobo143bo2bo2b3o4b2o$112bo144b2o4b2o4b2o$112b2o150b2o$105bo159bo$
104b2o$75bo179bo$75b2o24b2o152b2o$70b2o4b2o4b2o17b2o147b2o4b2o4b2o$70b
2o4b3o2bo2bo165b2o4b3o2bo2bo$70b2o4b2o4b2o166b2o4b2o4b2o$75b2o27b2o
149b2o$75bo28b2o149bo2$85bo149bo$84b2o148b2o$77b2o4b2o4b2o136b2o4b2o4b
2o$76bo2bo2b3o4b2o135bo2bo2b3o4b2o$77b2o4b2o4b2o136b2o4b2o4b2o$84b2o
148b2o$85bo149bo2$105bo119bo$105b2o118b2o$100b2o4b2o4b2o106b2o4b2o4b2o
$100b2o4b3o2bo2bo105b2o4b3o2bo2bo$100b2o4b2o4b2o106b2o4b2o4b2o$105b2o
118b2o$105bo119bo2$115bo89bo$114b2o88b2o$107b2o4b2o4b2o76b2o4b2o4b2o$
106bo2bo2b3o4b2o75bo2bo2b3o4b2o$107b2o4b2o4b2o76b2o4b2o4b2o$114b2o88b
2o$115bo89bo2$135bo59bo$135b2o58b2o$130b2o4b2o4b2o46b2o4b2o4b2o$130b2o
4b3o2bo2bo45b2o4b3o2bo2bo$130b2o4b2o4b2o46b2o4b2o4b2o$135b2o58b2o$135b
o59bo2$145bo29bo$144b2o28b2o$137b2o4b2o4b2o16b2o4b2o4b2o$136bo2bo2b3o
4b2o15bo2bo2b3o4b2o$137b2o4b2o4b2o16b2o4b2o4b2o$144b2o28b2o$145bo29bo
2$165bo$165b2o$160b2o4b2o4b2o$160b2o4b3o2bo2bo$160b2o4b2o4b2o$165b2o$
165bo!

[MathAndCode]

I found a stabilization for this P120 queen bee shuttle wick:

Impressive! The queen bee shuttles are regenerated on the same axis of symmetry, so the wick can accommodate a bend:

I know that there are other interactions involving queen bee shuttles. Can any of them be combined with this into something more complex? I haven't bothered recorded most of them, but here is another way to shift a queen bee. The displacement is five instead of eight, but that should give you an idea of what I'm thinking of.

Edit: This gives me an idea. I'm going to make a thread for the queen bee.

Another edit: I made it here.

[Entity Valkyrie 2]

I found a stabilization for this P120 queen bee shuttle wick:

Impressive! The queen bee shuttles are regenerated on the same axis of symmetry, so the wick can accommodate a bend:

Code: Select all

x = 461, y = 200, rule = B3/S23
341bo$341b3o$344bo$343b2o4$349bobo$332b2o5b2o8bobo3bo$332b2o5b2o7b2o$
349bo$336b2o13bobobo$336b2o10bo2bob3o95b2o$350bo3bo51bo44b2o$382b2o22b
3o$382bo26bo$359b2o8b2o12bo24b2o38b2o$359b2o9bo5bo5b2o64b2o$369bo5bobo
b2o$356b2o5b2o4b2o4bobobob5o65b2o$356b2o5b2o7b2obobobobo4bo64b2o$367b
5obobobo3bob3o11b2o5b2o53b2o$366bo4bobobo2b2o3bo13b2o5b2o9b2o42bo$367b
3obo3bo3bob2o32bobo39bobo$369bo3b2o26b2o12bo4b2o35b2o$370b2obo14b2o11b
2o17bobo$388bo31bob2o$376bo9bobo30bob2o$374b4o8b2o31b3o28bo$358bo14bob
ob2o18bo26b2o23b3o$351b2o6bo12bo2bob3o17b3o24b2o26bo$351b2o4b3o13bobob
2o10bo10bo48b2ob2o$374b4o9b3o3bo5b2o20b2o5b2o18b2ob2o$376bo9bo5bobob2o
23b2o5b2o18b2ob2o$348b2o13bo22b2o4bobobob5o46bo2bo$348b2o13b2o24b2obob
obobo4bo46b3o$362bobo19b5obobobo3bob3o27bo9b2o8b2o$351b2o30bo4bobobo2b
2o3bo29bobo7b2o$344b2o5b2o31b3obo3bo3bob2o30b2o$344b2o40bo3b2o51b2o$
346bo40b2obo14b2o36b2o$344b3o58bo$343bobo47bo9bobo$344b2o45b4o8b2o35b
2o$343bo46bobob2o44b2o$343bo45bo2bob3o29bo8bo$341bo48bobob2o28bobo6b3o
$366b2o23b4o30b2o5bo$366b2o25bo38b2o2$334b2o$333bobo27b2o64b3o$333bo
29b2o64b3o$332b2o94bo3bo$340b2o24b2o59bo5bo$340b2o24b2o60bo3bo$394bo
34b3o$343b2o27b2o18bobo$343b2o28b2o18b2o6b2o$372bo15bo10bo$356bo32bo9b
obo$340b2o13bobo29b3o8b2obo$340b2o12b2ob2o39b2o$355bo2bo39b3obo$355bo
3bo41b2o29b2o$355bo76bo$433b3o$349b2o84bo$348bobo$348bo$347b2o$355bo$
119bo235b2o$117b3o265bo$116bo241b2o24b2o$116b2o240b2o17b2o4b2o4b2o$
376bo2bo2b3o4b2o$377b2o4b2o4b2o$355b2o27b2o$109bobo243b2o28bo$105bo3bo
bo8b2o5b2o$111b2o7b2o5b2o246bo$111bo263b2o$105bobobo13b2o245b2o4b2o4b
2o$8b2o95b3obo2bo10b2o245b2o4b3o2bo2bo$8b2o44bo51bo3bo259b2o4b2o4b2o$
52b3o22b2o296b2o$51bo26bo296bo$11b2o38b2o24bo12b2o8b2o$11b2o64b2o5bo5b
o9b2o253bo$80b2obobo5bo262b2o$8b2o65b5obobobo4b2o4b2o5b2o242b2o4b2o4b
2o$8b2o64bo4bobobobob2o7b2o5b2o241bo2bo2b3o4b2o$2o53b2o5b2o11b3obo3bob
obob5o253b2o4b2o4b2o$bo42b2o9b2o5b2o13bo3b2o2bobobo4bo259b2o$bobo39bob
o32b2obo3bo3bob3o261bo$2b2o35b2o4bo12b2o26b2o3bo$38bobo17b2o11b2o14bob
2o254bo$37b2obo31bo272b2o$38b2obo30bobo9bo255b2o4b2o4b2o$10bo28b3o31b
2o8b4o253b2o4b3o2bo2bo$9b3o23b2o26bo18b2obobo14bo237b2o4b2o4b2o$8bo26b
2o24b3o17b3obo2bo12bo6b2o235b2o$7b2ob2o48bo10bo10b2obobo13b3o4b2o235bo
$8b2ob2o18b2o5b2o20b2o5bo3b3o9b4o$8b2ob2o18b2o5b2o23b2obobo5bo9bo240bo
$8bo2bo46b5obobobo4b2o22bo13b2o211b2o$8b3o46bo4bobobobob2o24b2o13b2o
204b2o4b2o4b2o$9b2o8b2o9bo27b3obo3bobobob5o19bobo217bo2bo2b3o4b2o$19b
2o7bobo29bo3b2o2bobobo4bo30b2o207b2o4b2o4b2o$29b2o30b2obo3bo3bob3o31b
2o5b2o207b2o$16b2o51b2o3bo40b2o208bo$16b2o36b2o14bob2o40bo$55bo58b3o
198bo$55bobo9bo47bobo197b2o$19b2o35b2o8b4o45b2o193b2o4b2o4b2o$19b2o44b
2obobo46bo192b2o4b3o2bo2bo$25bo8bo29b3obo2bo45bo192b2o4b2o4b2o$25b3o6b
obo28b2obobo48bo195b2o$28bo5b2o30b4o23b2o220bo$27b2o38bo25b2o$295bo$
125b2o167b2o$29b3o64b2o27bobo159b2o4b2o4b2o$29b3o64b2o29bo158bo2bo2b3o
4b2o$28bo3bo94b2o158b2o4b2o4b2o$27bo5bo59b2o24b2o173b2o$28bo3bo60b2o
24b2o174bo$29b3o34bo$66bobo18b2o27b2o167bo$58b2o6b2o18b2o28b2o167b2o$
61bo10bo15bo191b2o4b2o4b2o$59bobo9bo32bo175b2o4b3o2bo2bo$59bob2o8b3o
29bobo13b2o159b2o4b2o4b2o$61b2o39b2ob2o12b2o164b2o$58bob3o39bo2bo179bo
$27b2o29b2o41bo3bo$28bo76bo159bo$25b3o236b2o$25bo84b2o145b2o4b2o4b2o$
110bobo143bo2bo2b3o4b2o$112bo144b2o4b2o4b2o$112b2o150b2o$105bo159bo$
104b2o$75bo179bo$75b2o24b2o152b2o$70b2o4b2o4b2o17b2o147b2o4b2o4b2o$70b
2o4b3o2bo2bo165b2o4b3o2bo2bo$70b2o4b2o4b2o166b2o4b2o4b2o$75b2o27b2o
149b2o$75bo28b2o149bo2$85bo149bo$84b2o148b2o$77b2o4b2o4b2o136b2o4b2o4b
2o$76bo2bo2b3o4b2o135bo2bo2b3o4b2o$77b2o4b2o4b2o136b2o4b2o4b2o$84b2o
148b2o$85bo149bo2$105bo119bo$105b2o118b2o$100b2o4b2o4b2o106b2o4b2o4b2o
$100b2o4b3o2bo2bo105b2o4b3o2bo2bo$100b2o4b2o4b2o106b2o4b2o4b2o$105b2o
118b2o$105bo119bo2$115bo89bo$114b2o88b2o$107b2o4b2o4b2o76b2o4b2o4b2o$
106bo2bo2b3o4b2o75bo2bo2b3o4b2o$107b2o4b2o4b2o76b2o4b2o4b2o$114b2o88b
2o$115bo89bo2$135bo59bo$135b2o58b2o$130b2o4b2o4b2o46b2o4b2o4b2o$130b2o
4b3o2bo2bo45b2o4b3o2bo2bo$130b2o4b2o4b2o46b2o4b2o4b2o$135b2o58b2o$135b
o59bo2$145bo29bo$144b2o28b2o$137b2o4b2o4b2o16b2o4b2o4b2o$136bo2bo2b3o
4b2o15bo2bo2b3o4b2o$137b2o4b2o4b2o16b2o4b2o4b2o$144b2o28b2o$145bo29bo
2$165bo$165b2o$160b2o4b2o4b2o$160b2o4b3o2bo2bo$160b2o4b2o4b2o$165b2o$
165bo!

I don't know how many of you have seen this buckaroo that I used in the wick stabilizer:

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!

[MathAndCode]

Here is a rotor based off of this R-predecessor.

Code: Select all

x = 6, y = 3, rule = B3/S23
o3bo$4bo$3o2bo!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 5 3 ]]
#C [[ PASTET 2 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 0 0 ]]

I'm having difficulty stabilizing this one. My usual approach is to use the oscillator's other phase and a spark from something else to help regenerate the first spark, but for this particular partial, the methods that I've tried so far either don't regenerate the initial spark or add extra cells that interfere with the partial rotor.

Edit: Here's another partial rotor based off the same R-predecessor that looks easier to stabilize.

Code: Select all

x = 5, y = 9, rule = B3/S23
4bo$2bo$2bo$4bo$2bobo$2o2bo2$2bo$2bobo!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 1 1 ]]
#C [[ PASTE dot 1 9 ]]
#C [[ PASTET 2 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 4 0 ]]
#C [[ PASTE dot 4 8 ]]

Another edit: Here is a longer-lasting stabilization.

Code: Select all

x = 20, y = 34, rule = B3/S23
2o2$2bo2$2b2o2$4bo2$4b2o2$6bo$6bobo2$4b2o3b2o2$5bo3bo$7bo$7bo$9bo$7bobo$5b2o2bo2$7bo$7bobo$11bo$5b2o4bobo$15bo$5bo9bobo$19bo$3b2o14bo2$3bo2$b2o!

Yet another edit: I used one of the stabilizations that bubblegum used here.

Code: Select all

x = 20, y = 34, rule = B3/S23
2b2o$bobo$3bob3o$2obo2b3o$3bo$2bo$4bo2$4b2o2$6bo$6bobo2$4b2o3b2o2$5bo3bo$7bo$7bo$9bo$7bobo$5b2o2bo$16bo$7bo8b2o$7bobo6b2o$11bo5bo$5b2o4bobo$15b5o$5bo8bo4bo$3bo12bobo$4bo11bo$b2obo2b3o$4bob3o$2bobo$3b2o!

However, I wonder whether or not there's a more efficient stabilization.

[wwei23]

Here is a rotor based off of this R-predecessor.

Code: Select all

x = 6, y = 3, rule = B3/S23
o3bo$4bo$3o2bo!
#C [[ RLE dot o! ]]
#C [[ PASTET 1 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 5 3 ]]
#C [[ PASTET 2 2 2 2 2 2 2 2 ]]
#C [[ PASTE dot 0 0 ]]

Code: Select all

x = 26, y = 25, rule = B3/S23
10bo7bo$8bobo5bobo$6bo5bobo5bobo$4bobo7bo7bo$24bo$2b2o$24b2o$2bo$23bo$
2o9b2o$12bo9b2o$bo7bobo$3bo17bo$3bobobobo$20b2o$7bo3bo$11bo7bo$7b3o2bo
$18b2o$11bobo$15bobo$9bobo3bo2$7bobo$7b2o!

[iNoMed]

Smaller stabilisation of the above rotor, made possible by a trivial barberpole trimming and a shorter connection between the two ends:

Code: Select all

x = 20, y = 16, rule = B3/S23
3bo7bo$3bobo5bobo$bo5bobo$7bo6b2o$2o$15bo$2bobo3b2o$4bo4bo6b2o$6bobo$
17bo$7bo2b3o$8bo9b2o$8bo3bo$18bo$10bobobobo$10b2o4bo!

[MathAndCode]

Here is a rotor based off of this R-predecessor.

Code: Select all

x = 26, y = 25, rule = B3/S23
10bo7bo$8bobo5bobo$6bo5bobo5bobo$4bobo7bo7bo$24bo$2b2o$24b2o$2bo$23bo$
2o9b2o$12bo9b2o$bo7bobo$3bo17bo$3bobobobo$20b2o$7bo3bo$11bo7bo$7b3o2bo
$18b2o$11bobo$15bobo$9bobo3bo2$7bobo$7b2o!

Smaller stabilisation of the above rotor, made possible by a trivial barberpole trimming and a shorter connection between the two ends

I figured out a way to make the phoenix connection come out the other side, which should allow a shorter connection. However, I couldn't figure out how to connect the two parts perfectly.

Code: Select all

x = 19, y = 14, rule = B3/S23
9bo$7bobo$5bo5bo$2o3bo6bo$obobo7bo$14bo$2bo3bo8bo$6bo8bo$2b3o2bo9bo2$6bobo8b2o$5bo4bobo$5b2o3bo3bobo$14bo!

[Layz Boi]

I figured out a way to make the phoenix connection come out the other side, which should allow a shorter connection. However, I couldn't figure out how to connect the two parts perfectly.

Code: Select all

x = 19, y = 14, rule = B3/S23
9bo$7bobo$5bo5bo$2o3bo6bo$obobo7bo$14bo$2bo3bo8bo$6bo8bo$2b3o2bo9bo2$6bobo8b2o$5bo4bobo$5b2o3bo3bobo$14bo!

symmetry usually makes things easier.

Code: Select all

x = 20, y = 13, rule = B3/S23
8bo4b2o$8bobobobo$6bo$2o2b2o6bo3bo$o15bo$bobo8b3o2bo2$2bo2b3o8bobo$3b
o15bo$3bo3bo6b2o2b2o$13bo$5bobobobo$5b2o4bo!

[iNoMed]

At least Layz Boi's improvement brings the bounding box down from 20x16 to 20x13... at the cost of an increased population of 44 (Compared to the 20x16 stabilisation's population of 43), though it still beats the equivalent two-rotor stabilisation of wwei's mechanism by a long shot:

Code: Select all

x = 24, y = 18, rule = B3/S23
7bo4b2o$7bobobobo$3bobo$3bo7bo3bo$bo13bo$11b3o2bo$2o$15bobo$2bobo3b2o
4bo4bo$4bo4bo4b2o3bobo$6bobo$22b2o$7bo2b3o$8bo13bo$8bo3bo7bo$18bobo$
10bobobobo$10b2o4bo! 

Edit: JP21's barberpole reduction (Originally applied to wwei's mechanism) actually improves Layz Boi's dual-rotor mechanism as well.

Code: Select all

x = 18, y = 13, rule = B3/S23
7bo$7bobob2o$5bo6bo$4bo6bo3bo$2o2bo10bo$obo8b3o2bo2$bo2b3o8bobo$2bo10b
o2b2o$2bo3bo6bo$5bo6bo$5b2obobo$10bo!

[MathAndCode]

I figured out a way to make the phoenix connection come out the other side, which should allow a shorter connection. However, I couldn't figure out how to connect the two parts perfectly.

symmetry usually makes things easier.

Code: Select all

x = 20, y = 13, rule = B3/S23
8bo4b2o$8bobobobo$6bo$2o2b2o6bo3bo$o15bo$bobo8b3o2bo2$2bo2b3o8bobo$3b
o15bo$3bo3bo6b2o2b2o$13bo$5bobobobo$5b2o4bo!

Thank you. I'll keep looking for better ways.



Edit: Here's a similar oscillator.

Code: Select all

x = 5, y = 5, rule = B3/S23
ob3o$o$o3bo$4bo$3obo!
#C [[ RLE dots 3bo3$8bo2$o3$5bo!! ]]
#C [[ PASTET 1 2 2 2 2 2 2 2 ]]
#C [[ PASTE dots -2 -2 ]]

[JP21]

Here is my solution:

Code: Select all

x = 21, y = 21, rule = B3/S23
11b2o$7b2obobo$7bo$8bo3bo$12bo$8b3obo2$18b2o$2ob3o2bob3o2bobobo$o7bo6b
o$bo3bo2bo3bo2bo3bo$5bo6bo7bo$bobobo2b3obo2b3ob2o$b2o2$8bob3o$8bo$8bo
3bo$13bo$8bobob2o$8b2o!

Solution to the previous one...

Code: Select all

x = 20, y = 16, rule = B3/S23
4bo$2bobo2b2o$6bobo$2o$7bo2b3o$bo6bo$8bo3bo$2b2o7bo$11b2obobo$3bo12bo$
18bo$4b2o$11bo6b2o$5bo5bobo$7bobo5bobo$7bo7bo!

[MathAndCode]

Here is my solution:

Code: Select all

x = 21, y = 21, rule = B3/S23
11b2o$7b2obobo$7bo$8bo3bo$12bo$8b3obo2$18b2o$2ob3o2bob3o2bobobo$o7bo6b
o$bo3bo2bo3bo2bo3bo$5bo6bo7bo$bobobo2b3obo2b3ob2o$b2o2$8bob3o$8bo$8bo
3bo$13bo$8bobob2o$8b2o!

Solution to the previous one...

Code: Select all

x = 20, y = 16, rule = B3/S23
4bo$2bobo2b2o$6bobo$2o$7bo2b3o$bo6bo$8bo3bo$2b2o7bo$11b2obobo$3bo12bo$
18bo$4b2o$11bo6b2o$5bo5bobo$7bobo5bobo$7bo7bo!

Thank you. However, we should probably resume focusing on larger-period oscillators because of how common p2 oscillators are. Can anyone figure out a catalyst that makes this happen?

Code: Select all

x = 23, y = 7, rule = B3/S23
9bo$7bobo$6bobo$2o3bo2bo12b2o$2o4bobo12b2o$7bobo$9bo!
#C [[ PASTEMODE XOR ]]
#C [[ RLE dots o4$o! ]]
#C [[ PASTET 6 34 34 34 34 34 34 34 ]]
#C [[ PASTE dots 9 1 ]]
#C [[ PASTET 23 34 34 34 34 34 34 34 ]]
#C [[ PASTE dots 13 1 ]]

[wwei23]

I noticed that one of the jslife oscillators is extendible. I would like to point out that I did not see the extended version in jslife.

Code: Select all

x = 28, y = 31, rule = B3/S23
o$3o$3bo4b3o$2b2o2b2o4b2o$12b2o$4b2o$4b2o4b2o2b2o$7b3o4bo$15b3o$17bo
11$o$3o$3bo4b3o$2b2o2b2o4b2o4b3o$12b2o2b2o4b2o$4b2o16b2o$4b2o4b2o2b2o$
7b3o4b2o4b2o2b2o$17b3o4bo$25b3o$27bo!

Edit: Jason's P22 is extendible as well.

Code: Select all

x = 45, y = 30, rule = B3/S23
2o$bo15b3o$bobo16bo$2b2o2bo2bo6bo4bo13b3o$5bo3bo6bo4bo16bo$5bo4bo6bo3b
o2bo2bo6bo4bo$5bo4bo6bo2bo2bo3bo6bo4bo$6bo16bo4bo6bo3bo$7b3o13bo4bo6bo
2bo2b2o$24bo16bobo$25b3o15bo$43b2o9$2o$bo15b3o$bobo16bo$2b2o2bo2bo6bo
4bo$5bo3bo6bo4bo$5bo4bo6bo3bo$5bo4bo6bo2bo2b2o$6bo16bobo$7b3o15bo$25b
2o!

Edit 2:

Edit: I don't even know if a statorless p40 even exists.

Here you go:

Code: Select all

x = 142, y = 49, rule = B3/S23
13bo2bobo23b2ob2obo22b6ob2o27b2o28b2o$11b2obob3o22b2o2b2ob2o21b6ob2o
28bo25bo$12bo6bo29bo28b2o23b3o2b2o23bobo2b2o$11b2o5bo22b2o28b2o5b2o21b
3obo3bo21bobob3o2bo$41b2o5b2o21b2o5b2o21bo4bob2o21bo2b6o$12bo5b2o28b2o
21b2o5b2o25bobo26b2ob2o$11bo6bo22bo29b2o30b2obo4bo21b6o2bo$12b3obob2o
21b2ob2o2b2o21b2ob6o23bo3bob3o20bo2b3obobo$12bobo2bo24bob2ob2o22b2ob6o
23b2o2b3o23b2o2bobo$7bo28bo30bo28bo7bo33bo$5bobo29b2o27b3o27bo2bo4b2o
20bobo5b2o$3bo2b2o29bo26b2ob2o25b2ob2o25bo2b2o$4b2o27b4o26bo2bo27b3o
30bo$4bo29b2o30bo28bo28b3o$33b2o$3b2o28b2o27bo2bo$3b2o28b2o28b2o29b2o
28b2o$94b2o28b2o2$14bo29bo29bo$13bo2bo26bo2bo26bo2bo28bo29bo$16bo29bo
29bo27bo2bo26bo2bo$12b2obo26b2obo26b2obo31bo29bo$6b2o4b2o22b2o4b2o22b
2o4b2o29b2obo26b2obo$4bob2o26bob2o26bob2o29b2o4b2o22b2o4b2o$3bo29bo29b
o31bob2o26bob2o$3bo2bo26bo2bo26bo2bo27bo29bo$5bo29bo29bo28bo2bo26bo2bo
$96bo29bo2$15b2o28b2o28b2o$15b2o28b2o27bo2bo28b2o28b2o$45b2o59b2o28b2o
$15bo28b2o27bo$14b2o27b4o26bo2bo$12b2o2bo25bo28b2ob2o30bo28b3o$12bobo
26b2o28b3o31b3o26bo$12bo30bo28bo30b2ob2o25b2o2bo$2bo2bobo23b2ob2obo22b
6ob2o27b2o4bo2bo20b2o5bobo$2obob3o22b2o2b2ob2o21b6ob2o28bo7bo17bo$bo6b
o29bo28b2o23b3o2b2o23bobo2b2o$2o5bo22b2o28b2o5b2o21b3obo3bo21bobob3o2b
o$30b2o5b2o21b2o5b2o21bo4bob2o21bo2b6o$bo5b2o28b2o21b2o5b2o25bobo26b2o
b2o$o6bo22bo29b2o30b2obo4bo21b6o2bo$b3obob2o21b2ob2o2b2o21b2ob6o23bo3b
ob3o20bo2b3obobo$bobo2bo24bob2ob2o22b2ob6o23b2o2b3o23b2o2bobo$93bo33bo
$93b2o28b2o!

[MathAndCode]

p2 oscillators are very easy to make, but this phoenix fork could be useful, although probably only for other p2 oscillators.

Code: Select all

x = 23, y = 21, rule = B3/S23
5bo$5bobo$3bo$8b2o$2b2o$9bo$bo9bo$11bo$2o7bo3bobo$15bo$2bo5b2o7bobo$19bo$2b2o6bo10bo$11b2o$bo19b2o$13bo$2o6bo5b2o2bobo$6bobo9bo$2bobo5bobo3bo$4bo7bo$14b3o!

Also, here's a partial for a larger period.

Code: Select all

x = 4, y = 3, rule = B3/S23
3o2$b3o!
#C [[ RLE dot o! ]]
#C [[ PASTET 5 6 6 6 6 6 ]]
#C [[ PASTE dot -1 2 ]]
#C [[ PASTE dot 4 0 ]]