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### Synthesising Oscillators

Posted: July 31st, 2013, 5:44 am
To start this thread, here is a 24-glider synthesis of 50P35:

Code: Select all

x = 218, y = 69, rule = B3/S23
124bo\$123bo\$123b3o6\$118bobo\$118b2o\$119bo4\$105bo\$103bobo\$104b2o\$108bo\$
106b2o\$107b2o2\$172bo\$31bo138b2o\$15bobo11b2o140b2o\$16b2o12b2o110b2o35b
2o35b2o\$16bo125bo21bo14bo36bo\$140bobo22b2o10bobo34bobo\$140b2o22b2o11b
2o35b2o\$13bo14bo\$14b2o10bobo33b3o34b3o34b3o34b3o26bo2bobo2b3o\$13b2o12b
2o3bo170bobobo\$30b2o34b2o35b2o35b2o35b2o22bo12b2o\$13bo17b2o33bobo34bob
o34bobo34bobo21b2ob2o8bobo\$13b2o36bo3bo12bo19bo3bo12bo19bo3bo12bo19bo
3bo12bo36bo\$12bobo3bobo16b2o12bo3bo12b2o4b2o12bo3bo12b2o4b2o12bo3bo12b
2o4b2o12bo3bo12b2o4b2o29b2o\$18b2o18bo12bo3bo19bo12bo3bo19bo12bo3bo19bo
12bo3bo19bo\$2o17bo18bobo34bobo34bobo34bobo34bobo8b2ob2o\$b2o36b2o35b2o
35b2o35b2o35b2o12bo\$o3b2o12b2o175bobobo\$4bobo10b2o23b3o34b3o34b3o34b3o
34b3o2bobo2bo\$4bo14bo\$113b2o35b2o11b2o22b2o\$112bobo34bobo10b2o22bobo\$
16bo95bo36bo14bo21bo\$b2o12b2o94b2o35b2o35b2o\$2b2o11bobo138b2o\$bo155b2o
\$156bo2\$72b2o\$73b2o\$72bo\$75b2o\$75bobo\$75bo4\$61bo\$61b2o\$60bobo6\$55b3o\$
57bo\$56bo!
Now that was an easy one, since it can be broken down into blinkers and eaters. The question here is how to synthesise other oscillators that aren't that simple, like 24P10 or 48P31. There are two main problems here: (1) how to derive a predecessor of the rotor comprised of still lifes and sparks and (2) how to provide these sparks. After that, assembling the actual synthesis should be easy.

### Re: Synthesising Oscillators

Posted: July 31st, 2013, 4:34 pm
This synthesizes the "suspicious object" that I posted in the AD thread:

Code: Select all

x = 90, y = 39, rule = LifeHistory
89.A\$87.2A\$88.2A16\$23.A48.A\$6.A17.A46.A\$5.A16.3A10.A32.A2.3A\$5.3A27.A
32.A\$.A33.A32.A\$2.A\$3A60.3A\$4.3A29.2A31.2A\$6.A29.2A31.2A\$5.A2\$30.2A\$
30.A.A\$30.A\$65.2D\$64.D2.D\$64.D.D\$63.2D.D18.2A\$66.D17.2A\$66.D19.A\$64.
3D!
All that's missing is a suitably placed domino spark (presumably known), and a suitable reaction to generate the preblock (unknown). Then we will have 18P2.420 synthesized.

If the particular preblock synthesis doesn't work out, we can always try starting from gen. 117 of the rightmost section of that pattern. However, I do not currently know how to adequately synthesize that preblinker. (The synthesis I posted requires a collision between a glider and something moving, at about c/2, to the left.)

(BTW, the only way I know of to generate the preblock occurs in the LOM reaction. A ghosted Herschel could also work, if we could modify it somewhat.)

### Re: Synthesising Oscillators

Posted: August 1st, 2013, 2:19 am
Extrementhusiast wrote:Then we will have 18P2.420 synthesized.
I recently tried to make sure I had syntheses for all of the objects in Achim Flammenkamp's "natural objects" lists. I ended up having to create new syntheses for several new ones; the hardest ones were some of the largest P2s. I currently have all except one - Fore and Back. 18P2.420 is one of these, and is totally buildable from existing technology.

Here are the ones I saw on Achim's list that are in the Wiki but I didn't see syntheses for:

Code: Select all

#C Cis beacon and anvil from 22 gliders
#C Mark D. Niemiec 2013-06-05
x = 139, y = 117, rule = B3/S23
6bo\$7b2o\$6b2o108bo\$115bo\$115b3o\$113bo\$114bo\$112b3o18b2o\$133b2o2\$15bobo
\$16b2o37b2o18b2o18b2o18b2o18b2o\$16bo36b3obo15b3obo15b3obo15b3obo15b3ob
o\$52bo4bo14bo4bo14bo4bo14bo4bo14bo4bo\$35bo17b4o16b4o16b4o16b4o16b4o\$
34bo\$34b3o12bo3b2o14bo3b2o18b2o18b2o18b2o\$32bo15bobo2b2o13bobo2b2o18b
2o18b2o18b2o\$31b2o15bobo17bobo\$31bobo15bo19bo\$66b2o\$65bobo\$67bo7\$7b2o\$
6bobo\$8bo4\$41b2o\$41bobo\$41bo16\$5bobo\$6b2o\$6bo\$o\$b2o23bo\$2o24bobo\$26b2o
8\$13b2o\$13b2o3\$15b2o38bob2o36bob2o19bo16bob2o\$13b3obo13bo4bo16b3obo35b
3obo20bobo12b3obo\$12bo4bo14b2obo16bo4bo34bo4bo20b2o12bo4bo\$13b4o14b2o
2b3o15b4o18b2o16b4o18b2o16b4o\$75b2o38b2o\$13b2o38b2o38b2o38b2o\$13b2o38b
2o38b2o38b2o7\$26b2o\$25b2o\$27bo15\$75bob2o16bob2o16bob2o16bob2o\$73b3obo
15b3obo15b3obo15b3obo\$72bo4bo14bo4bo14bo4bo14bo4bo\$73b4o16b4o16b4o16b
4o2\$73b2o18b2o18b2o18b2o\$73b2o17bobo17bobo18bo\$92b2o18b2o22bo\$119b2o
14b2o\$71b2o2b3o41bobo\$72b2obo31b3o4b2o3bo\$71bo4bo32bo5b2o\$108bo5bo\$72b
2o\$72bobo\$72bo!
The wiki claims to have a synthesis for this, but the file is not there:

Code: Select all

#C 21P2 from 11 gliders (1beacon + 1; trivial)
#C Mark D. Niemiec 2013-06-05
x = 137, y = 33, rule = B3/S23
3\$20bo\$18bobo\$19b2o3bobo\$14bobo7b2o\$15b2o8bo\$15bo2\$26bo\$24b2o6bo\$13bo
11b2o3b2o70bo\$14bo16b2o70bo\$12b3o31b2o18b2o18b2o13b3o2b2o18b2o\$45bobo
17bobo17bobo17bobo19bo\$44bo2bob2o13bo2bob2o13bo2bob2o13bo2bob2o16bob2o
\$44b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo\$10bobo32bobo17bobo
17bobo17bobo17bobo\$11b2o2bobo27bo2bo16bo2bo16bo2bo16bo2bo16bo2bo\$11bo
3b2o29b2o18b2o18b2o18b2o18b2o\$16bo\$28b2o\$27b2o\$29bo2\$44b2o18b2o\$43bo2b
o16bo2bo\$44b2o18b2o\$67b3o\$67bo\$68bo!

Code: Select all

#C 22P2 from 22 gliders (1beacon + 11)
#C Mark D. Niemiec 2013-06-05
x = 141, y = 75, rule = B3/S23
10bo\$8bobo\$9b2o3bobo\$4bobo7b2o\$5b2o8bo\$5bo2\$16bo\$14b2o6bo\$3bo11b2o3b2o
\$4bo16b2o\$2b3o31b2o18b2o18b2o38b2o18b2o\$35bobo17bobo17bobo27bo3bo5bobo
17bobo\$34bo2bob2o13bo2bob2o13bo2bob2o22bobob2o5bo2bob2o10b2obo2bob2o\$
34b2obo2bo13b2obo2bo13b2obo2bo23b2o2b2o4b2obo2bo10b2ob2obo2bo\$obo32bob
o17bobo17bobo37bobo17bobo\$b2o2bobo27bo2bo16bo2bo16bo2bo36bo2bo16bo2bo\$
bo3b2o29b2o18b2o18b2o38b2o18b2o\$6bo\$18b2o\$17b2o\$19bo2\$34b2o18b2o\$33bo
2bo16bo2bo\$34b2o18b2o\$57b3o\$57bo\$58bo28b3o\$89bo\$88bo17\$111bo\$112bo\$
110b3o\$114bo\$65bo47bo\$63bobo12bo34b3o\$64b2o11bo\$70bo6b3o\$71b2o38bobo\$
70b2o40b2o\$112bo\$69bo\$69b2o\$68bobo64b2o\$36b2o18b2o18b2o16bob2o16bob2o
16bo2bo\$35bobo17bobo17bobo16b2obo16b2obo16b2obo\$31b2obo2bob2o10b2obo2b
ob2o10b2obo2bob2o16bob2o16bob2o16bob2o\$31b2ob2obo2bo10b2ob2obo2bo4b2o
4b2ob2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo\$35bobo17bobo6bobo8bobo17bob
o17bobo17bobo\$35bo2bo16bo2bo7bo8bo2bo16bo2bo16bo2bo16bo2bo\$36b2o18b2o
18b2o18b2o18b2o18b2o\$52b2o18b2o\$31b3o18b2o18b2o\$33bo32b3o\$32bo35bo\$34b
3o30bo\$34bo\$35bo!

Code: Select all

#C 23P2 from 10 gliders (boat + long barge + 5)
#C Mark D. Niemiec 2013-05-09
x = 104, y = 34, rule = B3/S23
79bo\$78bo\$78b3o3\$72bo\$73b2o\$72b2o\$2bo\$bo68bo\$b3o66b2o\$22b2o18b2o18b2o
5bobo10b2o18b2o\$bo19bobo17bobo17bobo17bobo13bo2bo2bo\$b2o19bo19bo19bo
19bo14b6o\$obo\$60bo19bo18b2o\$59bobo17bobo18bo\$39b2o3bo13bobo17bobo16bo\$
40b2obo13bobo17bobo17b2o\$39bo3b3o12bo19bo3\$44b2o\$43b2o\$45bo4\$90b2o\$89b
2o\$91bo\$69b2o\$70b2o\$69bo!

Code: Select all

#C 24P2/18P2.420 from 15 gliders (21P2 + snake-to-shillelagh; trivial)
#C Mark D. Niemiec 2013-06-05
x = 161, y = 29, rule = B3/S23
10bo\$8bobo\$9b2o3bobo115bo\$4bobo7b2o115bo\$5b2o8bo115b3o5bobo\$5bo133b2o\$
140bo\$16bo\$14b2o6bo109b2o7b2o\$3bo11b2o3b2o70bo40b2o5b2o\$4bo16b2o70bo
38bo9bo12b2o\$2b3o31b2o18b2o18b2o13b3o2b2o18b2o18b2o17bobo\$35bobo17bobo
17bobo17bobo19bo19bo19bo\$34bo2bob2o13bo2bob2o13bo2bob2o13bo2bob2o16bob
2o16bob2o16bob2o\$34b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b2obo2bo13b
2obo2bo13b2obo2bo\$obo32bobo17bobo17bobo17bobo17bobo17bobo17bobo\$b2o2bo
bo27bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo16bo2bo\$bo3b2o29b2o18b2o
18b2o18b2o18b2o18b2o18b2o\$6bo\$18b2o\$17b2o\$19bo2\$34b2o18b2o\$33bo2bo16bo
2bo\$34b2o18b2o\$57b3o\$57bo\$58bo!

Code: Select all

#C 18P2.471 from 39 gliders
#C Mark D. Niemiec 2013-06-05
x = 129, y = 89, rule = B3/S23
53bo\$53bobo\$53b2o54bo\$109bobo\$52bo56b2o\$50bobo54bo\$51b2o52bobo\$106b2o\$
45bo15bo\$46bo13bo47bo\$44b3o13b3o43b2o\$23bo29bo53b2o\$22bobo27bobo28bo
19bo19bo\$b2o2b3o14bobo27bobo27bobo17bobo17bobo\$obo2bo17bo29bo28bobo17b
obo4bo12bobo\$2bo3bo74b2ob2o15b2ob2ob2o12b2ob2o\$23bo29bo28bobo17bobo3b
2o12bobo\$3b2o17bobo12b2o5b3o5bobo5b3o5b2o12bobo17bobo17bo2bo\$3bobo17bo
14b2o6bo6bo6bo6b2o14bo19bo19b2o\$3bo33bo7bo15bo7bo38bo\$108bobo\$105bo2b
2o\$104b2o\$104bobo8\$53bo\$51b2o\$48bo3b2o\$46bobo7bo8bo6bo\$47b2o7bobo4b2o
5b2o\$56b2o6b2o5b2o6\$13bo19bo19bo29b2o18b2o18b2o\$12bobo17bobo17bobo12b
3o12bobo17bobo17bobo2b2o\$12bobo8bo8bobo17bobo12bo14bobob2o14bobob2o14b
obobobo\$11b2ob2o5b2o8b2obob2o13b2obob2o4b3o3bo12b2obobo14b2obobo14b2ob
obo\$12bobo3b2o2b2o8bobo2bo14bobo2bo4bo19bobobo15bobobo15bobobo\$12bo2bo
2bobo11bo2bo16bo2bo7bo18bo2bo16bo2bo5bo10bo2bo\$13b2o3bo14b2o18b2o28b2o
18b2o5bo12b2o\$65b2o43b3o\$65bobo\$65bo43b2o3b2o\$108bobo3bobo\$110bo3bo11\$
106bo\$104bobo\$68bo36b2o\$66bobo43bo\$67b2o43bobo\$73bo38b2o\$71b2o\$72b2o\$
63b2o10b2o6b2o3bo14b2o3bo14b2o\$62bobo2b2o6bobo4bobo2bobo12bobo2bobo12b
obo\$62bobobobo6bo6bobobobo13bobobobo13bobob2o\$61b2obobo14b2obobo14b2ob
obo14b2obo2bo\$62bobobo15bobobo15bobobo15bobo\$62bo2bo16bo2bo16bo2bo4bob
o9bo2bo\$63b2o18b2o18b2o5b2o11b2o\$111bo2\$112b3o\$112bo\$106bo6bo\$106b2o\$
105bobo\$112bo\$111b2o\$111bobo!

Code: Select all

#C 26P2 from 41 gliders
#C Mark D. niemiec 2013-06-05
x = 162, y = 83, rule = B3/S23
96bobo\$96b2o\$93bo3bo\$87bobob2o\$67bo12b2o6b2o2b2o6b2o18b2o18b2o18b2o\$
53bo12bo12bobo6bo10bobo17bobo17bobo17bobo\$54bo11b3o6b2o2bo15b2o2bo14bo
bo2bo14bobo2bo14bobo2bo\$52b3o7b3o10bobob2o14bobob2o13b2obob2o13b2obob
2o13b2obob2o\$48b3o11bo14bo19bo19bo19bo19bo\$50bo12bo11bobo17bobo16b2obo
16b2obo16b2obo\$49bo25b2o18b2o17bobo17bobo17bobo\$88bo26bo19bo19bo\$65b3o
20b2o2b2o\$65bo21bobob2o22bo19bo\$66bo26bo20bobo17bobo\$96b3o15b2o18b2o\$
96bo40b3o\$97bo39bo\$138bo6\$60bo\$59bo\$20bo38b3o78bo\$19bo17bo19bo83bo\$19b
3o2bobo9bobo17bobo80b3o\$10bo5bo7b2o10bobo17bobo84bo\$11bo5b2o6bo11bo3b
2o14bo3b2o38bobo39bobo3bo\$9b3o4b2o23b2o18b2o39b2o39b2o3bo\$102bo45b3o\$
104bo\$20b2o81bo\$19bobo81b3o\$6b3o5bobo2bo14bob2ob2o13bob2ob2o13bob2ob2o
13bob2ob2o13bob2ob2o13bob2ob2o13bob2o\$8bo5b2obob2o13b2obob2o13b2obob2o
13b2obob2o13b2obob2o13b2obobobo12b2obobobo12b2obo\$7bo9bo19bo19bo19bo
19bo6bo12bo2bo16bo2bo16bob2o\$14b2obo16b2obo16b2obo16b2obo16b2obo5b2o9b
2obo16b2obo16b2obob2o\$14bobo17bobo17bobo17bobo17bobo6bobo8bobo17bobo
17bobo\$15bo19bo19bo19bo19bo19bo19bo19bo4\$145b2o\$145bobo\$145bo2\$134b2o\$
135b2o\$134bo\$bo\$2bo\$3o\$4bo\$3bo\$3b3o2\$51bo\$bobo45bobo\$2b2o46b2o\$2bo2\$
61bo80bobo\$25b2o18b2o13bo14b2o18b2o18b2o18b2o5b2o11b2o\$4bob2o16bo2bo
16bo2bo12b3o11bo2bo16bo2bo16bo2bo16bo2bo5bo10bo2bo\$4b2obo16b2obo16b2ob
o26b2obo16b2obo16b2obo16b2obo16b2obo\$7bob2o16bob2o16bob2o5bo20bob2obo
14bob2obo14bob2obo14bob2obo14bob2o\$4b2obob2o13b2obob2o13b2obob2o6b2o
15b2obobob2o11b2obobob2o11b2obobob2o11b2obobob2o11b2obo2bo\$4bobo17bobo
17bobo9b2o16bobo17bobo17bo2bo16bo2bo16bo2bo\$5bo19bo19bo6b3o20bo19bo19b
o2bo16bo2bo5b2o9bo2bo\$54bo61b2o18b2o5b2o11b2o\$53bo43b2o46bo\$97bobo2b2o
\$97bo3b2ob2o\$93b3o6b4o\$95bo7b2o\$94bo2\$99bo\$98b2o\$98bobo!

### Re: Synthesising Oscillators

Posted: August 1st, 2013, 3:07 pm
Well, if we had soups containing it, perhaps something similar to what was done with Coe's P8 could be done.

And with the synthesis of the eater3, oscillators containing that are now one step closer to being synthesized.

### Re: Synthesising Oscillators

Posted: August 4th, 2013, 2:41 am
Extrementhusiast wrote:Well, if we had soups containing it, perhaps something similar to what was done with Coe's P8 could be done.

And with the synthesis of the eater3, oscillators containing that are now one step closer to being synthesized.
Many of the oscillators containing eater-3 are based on shuttling pairs of gliders. Unfortunately, this particular stator arrangement doesn't work for those, as it gets too close to one of the gliders.

### Re: Synthesising Oscillators

Posted: August 4th, 2013, 11:43 am
mniemiec wrote: I recently tried to make sure I had syntheses for all of the objects in Achim Flammenkamp's "natural objects" lists. I ended up having to create new syntheses for several new ones; the hardest ones were some of the largest P2s. I currently have all except one - Fore and Back.
Here's a 20x20 soup which produces a Fore + Back; maybe a synthesis could be worked out from this? (Sorry about the file type not being RLE, I'm stuck without any proper life programs for a few days until I get a new computer. It should still copy/paste into Golly though).

Code: Select all

*.*.****.**.*..**.*.
*..*****.**.*....***
.*....*.*.*.**...*..
...**.*.***...******
**..**..***....*..**
.*.*********.*...***
..*..**.....*.**..**
**..**..*****...**..
.**.****..*.*.*****.
****.*..***.***.**.*
..*.*....*..***.*.**
..*..***.***.*...***
..***......**.*....*
.*..*.**..**....**.*
.*.....*......***..*
...*.*****...***....
.**.*.*.**.*...***..
**.****.****..**.***
*.*.**..**.*...****.
.**...*..***...*....

### Re: Synthesising Oscillators

Posted: August 4th, 2013, 1:19 pm
Preliminary, first-pass result:

Code: Select all

x = 41, y = 34, rule = B3/S23
24b2o5bo\$24b2o5bo\$17b2o12bo\$16bo2bo\$17b2o3\$18b2o\$18b2o2\$24b3o\$24bo2bo\$
2o26bo9b2o\$2o22bo2bo9bo2bo\$24b3o10bo2bo\$38b2o4\$14b2o\$13bo2bo\$14b2o4\$
36b2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!
Immediate predecessor:

Code: Select all

x = 7, y = 7, rule = B3/S23
2b2o\$bo2bo2\$o4bo\$o5bo\$o2bob2o\$b3obo!

### Re: Synthesising Oscillators

Posted: August 4th, 2013, 1:27 pm
It works also without the leftmost block.

Code: Select all

x = 41, y = 34, rule = B3/S23
24b2o5bo\$17b2o5b2o5bo\$17b2o12bo6\$26b2o\$18b2o6b2o\$18bobo\$20bo\$2o16bobo
17b2o\$2o9bo6b2o17bo2bo\$12bo24bo2bo\$10b3o25b2o2\$17b2o\$16bobo\$17bo6\$36b
2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!

### Re: Synthesising Oscillators

Posted: August 4th, 2013, 1:48 pm
codeholic wrote:It works also without the leftmost block.

Code: Select all

x = 41, y = 34, rule = B3/S23
24b2o5bo\$17b2o5b2o5bo\$17b2o12bo6\$26b2o\$18b2o6b2o\$18bobo\$20bo\$2o16bobo
17b2o\$2o9bo6b2o17bo2bo\$12bo24bo2bo\$10b3o25b2o2\$17b2o\$16bobo\$17bo6\$36b
2o\$35bo2bo\$35bobo\$36bo4\$25b2o\$25b2o!
That was already corrected. In any case, this is shaping up to be a 24-glider synthesis.

EDIT: The synthesis itself:

Code: Select all

x = 188, y = 48, rule = B3/S23
36bo\$27bo7bo\$27bobo5b3o\$27b2o\$21bo71bobo8bo\$19bobo72b2o6b2o\$20b2o72bo
8b2o52bo\$32b3o54b2o55bobo8bo\$32bo56b2o56b2o8bo\$33bo48b2o63bo17b2ob2o\$
81bo2bo80b2obobo\$82b2o84bo2bo\$bo163b2o3b2o\$2bo162bo2bo\$3o19b2o59b2o7bo
57bo3b2o10bobob2o\$21bobo23bo35b2o6bo58bo3b2o11b2ob2o\$23bo22bo44b3o56bo
\$28b2o16b3o\$28bobo\$3b3o22bo36b2o21b2o13b2o35bo\$5bo59b2o20b2o13bo2bo33b
obo\$4bo84bo12bo2bo32bo2bo38bo\$103b2o34b2o37b2o\$179b2o\$48bo\$47b2o\$47bob
o29b2o52b2o\$17b2o59bo2bo23bo26bobo\$16bobo60b2o23bo29bo\$18bo85b3o65bo\$
24b2o146bo\$24bobo145bo\$24bo\$168b3o3b3o2\$172bo\$94b2o76bo\$93bobo76bo\$95b
o82b2o\$178b2o2\$88b2o\$87bobo\$89bo\$94b2o\$94bobo88b2o\$94bo90bobo\$185bo!
This could most likely be improved.

### Re: Synthesising Oscillators

Posted: August 6th, 2013, 5:58 pm
Extrementhusiast wrote: EDIT: The synthesis itself:
...
This could most likely be improved.
Congratulations on the Fore and Back synthesis! I had been expecting it to come from a symmetrical predecessor, so I was surprised at the immediate predecessor shown here. I tried to create another way to synthesize that predecessor directly and more cheaply, but it was ultimately unrewarding. Basically, starting from a 3-part still-life (that would likely take 10-12 gliders to create), and then activating it with 12 additional gliders - and that only made everything except the top block (which was impossible to add), which would have cost than the original synthesis itself, so it wasn't worth it.

However, 15 generations after this (2 generations before the Fore and Back actually forms), the predessor resembles a round object whose two sides are mutilated in different ways. It turns out that either kind of mutilation can be done on both sides simultaneously, i.e. from a symmetrical predecessor. The top one can be accomplished by adding a simple domino spark. The central symmetrical object itself seems fairly common, and turns into a tub. There just happens to be a 4-glider tub synthesis (i.e. from two adjacent boats) that makes it using this very predecessor, which makes a good starting point. Unfortunately, adding the required spark takes some work (8 glider per side), so it takes 20 gliders to put it all together, only a slight improvment on the original:

Code: Select all

x = 103, y = 37, rule=B3/S23
71bo\$71bobo\$71boo\$66bo\$59bo4bobo\$60bo4boo\$58b3o\$71bo\$69boo\$70boo\$\$5bo
26bo29bo\$4bo26bobo27bobo\$boob3o23bobbo21bo4bobbo\$obo28boo20bobo5boo\$bb
o51boo11bo3bobo6bo15booboo\$66bo4boo5boo16boobobo\$66b3o3bo6boo18bobbo\$
96boo3boo\$58boo6bo3b3o23bobbo\$59boo5boo4bo24boboboo\$16bo41bo6bobo3bo
11boo13booboo\$16bobo27boo28boo5bobo\$12b3oboo27bobbo26bobbo4bo\$14bo30bo
bo27bobo\$13bo32bo29bo\$\$67boo\$68boo\$67bo\$78b3o\$72boo4bo\$72bobo4bo\$72bo\$
66boo\$65bobo\$67bo!
This should be reducible further, probably to 16 gliders. They key catalyst occurs at generation 14. Ideally, a domino spark with a bit-spark form the required domino in one step. Here, the bit-spark is replaced by another domino, making a blinker instead. This affects the predecessor in a slightly different way, but ends up with the same result. It should theoretically be possible to make the outside domino from 3 gliders rather than 5, but I couldn't find it.

### Re: Synthesising Oscillators

Posted: August 6th, 2013, 6:45 pm
Oddly enough, the improvement may be on the inside, rather than the outside. I noticed that a single-bit spark would do the job, as well as the domino spark that was used.

Also, I noticed this:

Code: Select all

x = 35, y = 14, rule = B3/S23
2b2o19b2o\$3bo20bo2b2o\$3bob2o17bobobo\$2obo2bo14b2obo2bo\$2obo17b2obo\$3bo
20bo\$3bobo18bobo5b2o\$4b2o4b2o13b2o4bobo\$6b2o3bo15b2o3bo\$6bo20bo\$7b7o
14b7o\$13bo20bo\$9b2o19b2o\$9b2o19b2o!

### Re: Synthesising Oscillators

Posted: August 6th, 2013, 7:23 pm
Extrementhusiast wrote:Oddly enough, the improvement may be on the inside, rather than the outside. I noticed that a single-bit spark would do the job, as well as the domino spark that was used.

Also, I noticed this:
...
That's what I meant. The desired catalyst at generation 15 is a single domino, but getting that domino there is not possible directly. A domino one further west at generation 14, plus a single bit a knight's-move southeast of it allow the domino to be pulled west one space in the next generation. I couldn't get that bit spark there, but I found that a domino instead (as shown) was feasible, and makes a blinker at 14 instead. This attacks the core differently, but ends up with the same result.

Interesting similarity between the double cuphook and the P9. I'll have to have a closer look to see if one is easy to build (and, if so, how hard it would be to change into the other).

### Re: Synthesising Oscillators

Posted: August 6th, 2013, 7:27 pm
I'm thinking that the double cuphook might be easier to build, but I'll check on it.

EDIT: From the double cuphook, this might work:

Code: Select all

x = 19, y = 23, rule = LifeHistory
10\$9.2A\$9.2A2\$6.2A3.A.D\$7.A5.D\$7.A.2A\$4.2A.A2.A\$4.2A.A\$7.A\$7.A.A\$8.2A
!
Add the indicated domino spark between gens. 2-6. (With gen. 2, you have to change the block up a bit.) Also, if there were any ways to extend the top end of the inductor by one bit for one generation, those could be used instead of the block.

### Re: Synthesising Oscillators

Posted: August 10th, 2013, 1:17 pm
Here's a different soup which also produces a Fore and Back. This one looks like it gets formed a different way, so it might yield a synthesis with fewer gliders?

Code: Select all

x = 20, y = 20, rule = 23/3
3o2bob2ob3o2b2ob2o\$4bo2b3obobob2obo\$4ob2o3bo2b3o\$o4bo2b2o3bob
obobo\$2b2ob3o3bobob2o\$2b4o2b3o2bob3obo\$2ob3o3bob3o3b3o\$3b4o2b
2ob2ob3obo\$6o2bo2b2obobob2o\$3bo3bo4bob3obo\$2b5ob2o2bobobobo\$o
b3o4bo5b3obo\$2ob3o2bo2bobo3b2o\$3obo2b2ob2ob4obo\$2o2b2o3bo3b2o
b2obo\$b3o3b4o2b3o3bo\$2b2o4b3ob3o4bo\$4bob2o3bobo2bob2o\$bobob2o
3b5obo2bo\$bo2b2o2b2obo3b3obo!

### Re: Synthesising Oscillators

Posted: August 10th, 2013, 1:41 pm
Preliminary predecessor (off of 238):

Code: Select all

x = 30, y = 51, rule = B3/S23
27b2o\$26bo2bo\$27b2o\$17b3o2\$15bo\$15bo\$15bo\$18b2o\$17bo2bo\$18bobo5b2o\$19b
o6bobo\$b2o24bo\$o2bo\$obo\$bo22bo\$24bo2bo\$25bobo\$26bo9\$18b2o\$17bo2bo\$18b
2o\$6b2o\$6b2o7\$10b2o\$10b2o9\$2o\$obo\$b2o!
Farther along:

Code: Select all

x = 18, y = 20, rule = B3/S23
13bo\$12b2o\$11b2o\$10b2o\$11b2o3b2o\$12bo3b2o3\$6bo\$6bo\$10b2o\$7b3obo\$7bo3bo
\$9bobo\$9b2o3\$bo\$obo\$2o!
Immediate:

Code: Select all

x = 6, y = 8, rule = B3/S23
bo\$bo2b2o\$o2b2o\$2o2\$2ob3o\$2b4o\$3bo!
This one seems less workable.

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 1:25 am
The whole discussion about fore and back was not what I meant when I made this thread. The focus is on delivering certain sparks from limited directions. For example, looking at 26P40:

Code: Select all

x = 17, y = 14, rule = LifeHistory
2A8.2C\$2A7.C\$12.C\$8.2A.C\$8.2A5\$7.2A\$5.C.2A\$4.C\$7.C7.2A\$5.2C8.2A!
how would the required duoplet and colon sparks be pushed to the blocks?

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 2:58 am
Freywa wrote:The whole discussion about fore and back was not what I meant when I made this thread. The focus is on delivering certain sparks from limited directions. For example, looking at 26P40:

Code: Select all

x = 17, y = 14, rule = LifeHistory
2A8.2C\$2A7.C\$12.C\$8.2A.C\$8.2A5\$7.2A\$5.C.2A\$4.C\$7.C7.2A\$5.2C8.2A!
how would the required duoplet and colon sparks be pushed to the blocks?
Delivering the sparks might not be easy, but it IS possible to create the blocks and sparks together. How about this synthesis I created a few months ago?

Code: Select all

#C 26p40-1 from 30 gliders
#C Mark D. Niemiec 2013-05-24
x = 155, y = 64, rule = B3/S23
48bo\$46bobo\$47b2o3bo\$50b2o17b2o\$51b2o16bobo\$71bo\$71b2o\$60b2o\$61bo\$40b
2o19bobo\$41b2o19b2o31bo\$40bo3b2o50b2o\$44bobo48b2o\$44bo67bo4bobo\$112bob
o2b2o\$112b2o4bo2\$98bo\$99b2o\$98b2o\$87bo\$88b2o\$87b2o\$51bo\$2bo47bo19bo39b
o9bo\$2bobo45b3o16bobo37bobo7bo\$2b2o65bobo37bobo7b3o\$53b3o14bo39bo\$bo
51bo\$2bo3bo47bo\$3ob2o20b2o18b2o18b2o38b2o30b2o8b2o\$5b2o18bobo17bobo17b
obo37bobo30b2o7bo\$25b2o18b2o18b2o38b2o43bo\$9b2o18b2o18b2o18b2o38b2o35b
2obo\$9bobo17bobo17bobo17bobo23bo13bobo10bo23b2o\$11bo19bo19bo19bo23b2o
14bo8b2o\$11b2o18b2o18b2o18b2o21bobo14b2o8b2o\$2o18b2o18b2o18b2o28b2o8b
2o14bobo\$bo19bo19bo19bo29b2o8bo14b2o\$bobo17bobo17bobo17bobo26bo10bobo
13bo27b2o\$2b2o18b2o18b2o18b2o38b2o39bob2o\$26b2o18b2o18b2o38b2o34bo\$6b
2o17bobo17bobo17bobo37bobo37bo7b2o\$7b2ob3o12b2o18b2o18b2o38b2o36b2o8b
2o\$6bo3bo27bo\$11bo27bo\$37b3o22bo39bo\$9b2o50bobo27b3o7bobo\$8bobo29b3o
18bobo29bo7bobo\$10bo31bo19bo29bo9bo\$41bo\$124b2o\$123b2o\$125bo\$113b2o\$
112b2o\$114bo2\$94bo4b2o\$94b2o2bobo\$93bobo4bo\$116b2o\$115b2o\$117bo!

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 4:08 am
Dear me, the wiki hasn't been updated in ages.

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 5:46 am
Freywa wrote:Dear me, the wiki hasn't been updated in ages.
I lost the hosting on my web site (with tons of syntheses) earlier this year. I plan to eventually put it up again, but meanwhile, I've been adding about a decade worth of changes and improvements to it before doing so - the last update was in Nov. 1999! I've also been trying to synthesize a lot of objects that I've found on the wiki and elsewhere - such as the few I've posted here recently. (In perspective, the old site had around 3800 syntheses, and the new updated one has around 10,000, most of which are trivial, but many are not.) It's getting close to being ready for prime time. One thing I still need to do is to look at all the syntheses from the wiki to see what I have that's been subsequently improved. (I've downloaded all of them, but only looked at some so far).

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 2:18 pm
There was one component where an 11.12 was turned into a 12.34. I know it took about ten gliders, and involved an eater, but for the life of me, I can't remember it. Do you know what it was? It went something like this:

Code: Select all

x = 9, y = 9, rule = B3/S23
4bobo\$5bo\$6bobo\$2o2bo2bo\$o6bo\$b3o\$4bo\$b3o\$bo!
I also remember that the eater was placed here:

Code: Select all

x = 9, y = 7, rule = B3/S23
5bo\$2o3b3o\$o7bo\$b3o3b2o\$4bo\$b3o\$bo!
(Or at least somewhat nearby; it was really close to the 11.12, but still able to be synthesized with two gliders.)

(This was for that pi catalyst that released gliders. It started from an 18.19039.)

(All these are in Pentadecathlon ordering. The site apparently has a broken script, so I can't look it up myself.)

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 3:10 pm
This what you are looking for?

Code: Select all

x=34, y=20
5bo6b2o9bo4b2o\$6b2o4bobob2o10bobob2o\$5b2o7bobo6bo6bobo\$14bobo13bobo\$4bo10b
o7bo7bo\$4b2o5b2o\$3bobo6bo\$12bobo12b2o\$2o11b2o13b2o\$b2o24bo3b2o\$o30bobo\$31b
o\$17b2o\$9b2o6bobo\$8bobo6bo\$10bo2\$14b2o\$14bobo\$14bo!

### Re: Synthesising Oscillators

Posted: August 11th, 2013, 3:17 pm
Yes, and thank you. (Golly crashed, and I had not saved it, and then I couldn't get it again from PD, and...you get the point.)

Synthesis from 18.19039:

Code: Select all

x = 210, y = 36, rule = LifeHistory
148.A.A\$148.2A\$30.A40.A.A9.A65.A\$31.A39.2A8.2A63.A\$29.3A34.A5.A9.2A3.
A56.2A\$67.2A18.A.A50.A.A2.2A\$32.A.A31.2A19.2A52.2A\$32.2A107.A\$33.A49.
A.A68.A\$.A.A.A.A.A.2A70.2A4.A63.A\$A12.A61.A8.A3.A64.3A\$A61.2A9.A.A12.
3A21.A6.A.A18.A4.A30.A24.A\$7.A5.A23.A20.A2.A.A4.A5.2A35.A.A5.2A18.A.A
3.3A27.A.A22.A.A\$A5.A.A19.3A5.A.A17.A.A3.A4.A.A40.A.A7.A17.A.A7.A25.A
.A2.A19.A.A2.A\$4.3A2.A3.A16.A3.3A2.A17.2A6.3A2.A37.3A2.3A20.3A2.3A3.
2A8.3A12.3A2.2A.A3.A12.3A2.2A.A\$A2.A3.2A.A18.A3.A3.2A.A13.2A8.A3.2A.A
35.A3.2A3.A4.3A11.A3.2A3.A12.A13.A3.2A3.A3.A.A9.A3.2A3.A2.2A\$4.3A2.A
3.A20.3A2.A13.A.A4.A4.3A2.A37.3A2.3A5.A14.3A2.3A14.A13.3A2.3A4.2A11.
3A2.3A3.2A\$A5.A.A27.A.A16.A5.2A4.A.A13.A26.A.A9.A15.A.A11.3A19.A.A10.
2A10.A.A\$7.A5.A23.A22.2A6.A13.2A27.A.A25.A.A10.A22.A.A9.A.A10.A.A\$A
81.A.A27.A27.A12.A22.A10.A13.A\$A12.A\$.A.A.A.A.A.2A3\$66.2A\$67.2A\$66.A
5.A9.2A\$71.2A8.2A\$71.A.A9.A5\$92.3A\$92.A\$93.A!

Code: Select all

x = 235, y = 38, rule = B3/S23
26bo\$26bobo\$26b2o5\$148bo\$75bobo68bobo\$8bo67b2o69b2o85bo\$8bobo65bo36bo
22bobo11bobo79b3o\$3bo4b2o44bobo30bo23b2o23b2o12b2o79bo\$4bo11bo37b2o22b
obo5bo25b2o23bo13bo79b2o\$2b3o10bo39bo22b2o6b3o26b2o\$15b3o22b2o27b2o8bo
22b2o3bo7bobo9b2o3b2o15b2o19bo57b2o\$40bobob2o8bo14bobob2o27bobobobo6bo
11bobobo2bo14bobobo15bobo21bo16b3o\$42bob2o7bo17bob2o3b2o24bob2o21bob4o
16bob3o13bob3o18bobo14bo3bo15bobo\$41b2o10b3o14b2o5bo2bo22b2o23b2o20b2o
4bo11b2o4bo17bob3o16bo15bob3o\$42bob2o25bob2o3b2o24bob2o21bob2o18bob3o
13bob3o17b2o4bo14bo13bo2bo4bo\$40bobob2o8bo14bobob2o27bobobobo18bobobob
o15bobobo13bobobo20bob3o14bo14b2obob3o\$40b2o12b2o13b2o8bo22b2o3bo19b2o
3bo16b2o16b2o23bobo34bobo\$2b3o48bobo22b2o55b2o56bo17bo17b2o\$4bo73bobo
55b2o2bo28bo\$3bo4b2o125bo3b2o27b2o\$8bobo65bo55bo6bobo26bobo\$8bo67b2o
54b2o31b2o\$75bobo53bobo30bobo\$15b2o149bo\$15bobo\$15bo2\$30b3o\$30bo\$31bo
2\$3o\$2bo\$bo!

### Re: Synthesising Oscillators

Posted: August 13th, 2013, 3:21 pm
48p31 is very intriguing: it looks like it's made up of all simple parts, yet the key component (loaf with attached diagonal bit) is somewhat problematic, in that it's not nearly as "natural" as one would hope. Attaching such a bit to a single loaf is easy, but requires scaffolding that is too large to be sandwiched between two loaves.

This CAN be done easily, if the loaf and the bit appear simultaneously, for example, by flipping the loaf into place with a glider. Again, this is trivial to do for one loaf, but much more difficult for two nearby loaves simultaneously.

After much hair-pulling, I figured out a way to do this by brute force, with a horrid Rube-Goldberg contraption, using a block-on-eater-on-eater, but there was so much going on that it was only possible to bring in one pair of stabilizing blocks, but not the other. I was, however, able to re-work it using 11.34s instead of eaters.

Code: Select all

#C 48p31 from 72 gliders
#C Mark D. Niemiec 2013-08-11
x = 230, y = 209, rule = B3/S23
191bo\$190bo\$190b3o\$83bo\$4bo79bo4bo103boo\$5bo76b3o4bobo101bobo30b3o\$3b
3o83boo36booboo35booboo21bo13booboo\$126bobobo35bobobo35bobobo\$boo124bo
bbo36bobbo36bobbo\$obo44b3o33boobb3o38boo38boo38boo\$bbo81boo\$83bo17\$92b
o\$90bobo\$91boo14\$107bo70bobo\$106bo72boo4bo\$106b3o70bo4bo\$184b3o\$107bo
70bo\$106boo71bo\$106bobo68b3o\$222bo\$146boo38boo33bobobboo\$32bo113boo38b
oo32bobbobboo\$30boo189boo\$26b3obboo33boo38boo38boo38boo38boo\$7booboo
35booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo
13bobbo\$6bobobo35bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bobob
o14bobobo16bobobo14bobobo\$7bobbo14boo20bobbo13booboo18bobbo13booboo18b
obbo13booboo18bobbo13booboo18bobbo13booboo\$8boo14bobo4b3o14boo38boo38b
oo38boo38boo\$26bo4bo181boo\$32bo95boo38boo38boobbobbo\$128boo38boo38boo
bbobo\$213bo\$87bobo86b3o\$88boo86bo\$88bo88bo\$169b3o\$87b3o81bo4bo\$89bo80b
o4boo\$88bo86bobo14\$103boo\$103bobo\$103bo9\$92bo\$90bobo\$91boo14\$107bo\$
106bo\$106b3o73bo\$15bobo163bo\$10bo4boo90bo73b3o\$11bo4bo89boo71bo\$9b3o
94bobo71bo\$17bo145bo14b3o38boo\$16bo129boo16boo20boo31boo5boo\$16b3o127b
oo15boo21boo38boo\$22bo30bo8bo30bo8bo30bo8bo30bo8bo30bo8bo\$21bobobboo
24bobo6bobobboo24bobo6bobobboo24bobo6bobobboo13bo10bobo6bobobboo20bo3b
obo6bobobboo\$20bobbobboo24bobbo4bobbobboo24bobbo4bobbobboo24bobbo4bobb
obboo13boo9bobbo4bobbobboo20bo3bobbo4bobbobboo\$21boo30boo6boo30boo6boo
30boo6boo17bobo10boo6boo25bo4boo6boo\$26boo38boo38boo38boo38boo38boo\$7b
ooboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bobbo18booboo13bo
bbo18booboo13bobbo\$6bobobo14bobobo16bobobo14bobobo16bobobo14bobobo16bo
bobo14bobobo16bobobo14bobobo16bobobo14bobobo\$7bobbo13booboo18bobbo13b
ooboo18bobbo13booboo18bobbo13booboo18bobbo13booboo18bobbo13booboo\$8boo
38boo38boo38boo38boo38boo\$13boo38boo6boo30boo6boo30boo6boo30boo6boo10b
obo17boo6boo4bo\$8boobbobbo32boobbobbo4bobbo24boobbobbo4bobbo24boobbobb
o4bobbo24boobbobbo4bobbo9boo13boobbobbo4bobbo3bo\$8boobbobo33boobbobo6b
obo24boobbobo6bobo24boobbobo6bobo24boobbobo6bobo10bo13boobbobo6bobo3bo
\$13bo39bo8bo30bo8bo30bo8bo30bo8bo30bo8bo\$17b3o108boo38boo21boo15boo\$
19bo108boo38boo20boo16boo5boo\$18bo156b3o14bo22boo\$24b3o60bobo85bo\$19bo
4bo63boo86bo\$19boo4bo62bo83b3o\$18bobo153bo\$87b3o83bo\$89bo\$88bo14\$103b
oo\$103bobo\$103bo7\$43bo\$42bo6bo\$42b3o3bo14bo\$48b3o10boo\$29bo24bo7boo\$
15bo14bo21boo\$16boo10b3o22boo\$15boo\$\$55bo122bo\$20bo34bobo119bo\$21bo33b
oo120b3o\$19b3o17boo72b3o57b3o\$39boo5boo\$46boo\$33bo8bo25b4o21boobobbob
oo50boobobboboo50boobobboboo\$32bobo6bobobboo20bo3bo13boo4bobbo4bobbo4b
oo36boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo\$32bobbo4bobbobboo20bo17b
oo5bobo4bobo5boo36boo5bobo4bobo5boo36boo5bobo4bobo5boo\$bboo29boo6boo
26bobbo21bo6bo52bo6bo52bo6bo\$ooboo41boo\$4o23booboo13bobbo\$boo23bobobo
14bobobo23boo\$27bobbo13booboo23b4o\$28boo41booboo\$3bobbo26boo6boo29boo
20bo6bo52bo6bo52bo6bo\$7bo20boobbobbo4bobbo42boo5bobo4bobo5boo36boo5bob
o4bobo5boo36boo5bobo4bobo5boo\$3bo3bo20boobbobo6bobo42boo4bobbo4bobbo4b
oo36boo4bobbo4bobbo4boo36boo4bobbo4bobbo4boo\$4b4o25bo8bo50boobobboboo
50boobobboboo50boobobboboo\$28boo\$28boo5boo\$35boo17b3o23b3o57b3o\$19boo
33bo81b3o\$18bobo34bo82bo\$20bo116bo\$\$59boo\$21boo22b3o10boo\$22boo21bo14b
o\$12boo7bo24bo\$13boo10b3o\$12bo14bo3b3o\$26bo6bo\$32bo!

### Re: Synthesising Oscillators

Posted: August 14th, 2013, 12:55 am
I think you meant "Merzy's p31 from 68 gliders", not 72. You accidentally included two blinkers (four gliders) into the count, which don't play a part in the synthesis at all. I understand that the raw count gives 66, but a four-glider synthesis is required for two of the four LWSSs due to proximity reasons.

### Re: Synthesising Oscillators

Posted: August 14th, 2013, 5:25 am
mniemiec wrote:48p31 is very intriguing...
Perhaps this will give insight into a more efficient synthesis:

Code: Select all

x = 156, y = 156, rule = B3/S23
2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b
2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo\$
2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b
2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo\$
2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo
8bobo2bo7bo2bobo8bo\$3b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o2b4o
4b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o2b4o\$3bo2bobo5bobobobobo
bobo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobobobobobo5bob
o2bo4bo2bobo5bobobobobobobo5bobo2bo\$2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3b
o4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2b
o4bo3bo\$3b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2b
o4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o\$5b4o4bo2bo7bo2bo4b
4o8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o\$4bo2bo
3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo
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ob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o
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2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2b
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2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob
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2obo2bo5bo2bob2o2bo5bo2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2obo2bo5bo
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2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bob2obo
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bo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobo
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2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob
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2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob
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2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2b
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3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo
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2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b
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11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo6bo2bo
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o2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo
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obo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obob
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obobobobobobo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobobob
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3bob2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo
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o7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b
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2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b
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2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3ob
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2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2obo\$3bob
2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b
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2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2b
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12bob2obo12bobo3bobo12bo\$4bo7b2o2bo7bo2b2o7bo6bo7b2o2bo7bo2b2o7bo6bo7b
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2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b
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5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo\$3ob
2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6b
ob2ob4ob2obo6b2o2b5o2b2o6bob2obo\$5bo4bo4b2o7b2o4bo4bo8bo4bo4b2o7b2o4bo
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3bo2b2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo2b2o2bo
3bob3obobo7bobob3obo3bo\$2bo4b2o11bo11b2o4bo2bo4b2o11bo11b2o4bo2bo4b2o
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2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2o
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3bo6bo4bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob
2o3bo6bo\$2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7b
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3b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o
3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o\$2obo3bo4bo2b3o5b3o2bo4bo3bo
b2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b
3o5b3o2bo4bo3bo\$3bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobobobobobo
5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo
\$3b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b
2o2b4o4b4o2b2o6bobobobo6b2o2b4o\$2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2b
obo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo\$2o3bo3bo2bobobob2ob
2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob
2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo\$2o3bo3bo2bobobob2ob
2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo3b2o3bo3bo2bobobob2ob
2obobobo2bo3bo3b2o3bo3bo2bobobob2ob2obobobo2bo3bo\$2bo8bobo2bo7bo2bobo
8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo\$
3b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b
2o2b4o4b4o2b2o6bobobobo6b2o2b4o\$3bo2bobo5bobobobobobobo5bobo2bo4bo2bob
o5bobobobobobobo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobo
bobobobo5bobo2bo\$2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo
3bob2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bo\$3b2o2bo4bo
4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo
2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o\$5b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo
4b4o8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o\$4bo2bo3bob2o11b2obo3bo2bo
6bo2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo
3bo2bo\$2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo
5bob2obo5bo7b2o3b2o7bo5bo\$3bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob2o3b
o6bo4bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob2o3bo6bo\$2bo5bo2b2obo2bo5b
o2bob2o2bo5bo2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2obo2bo5bo2bob2o2bo
5bo2bo5bo2b2obo2bo5bo2bob2o2bo5bo\$2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b
2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b
2o\$2bo4b2o11bo11b2o4bo2bo4b2o11bo11b2o4bo2bo4b2o11bo11b2o4bo2bo4b2o11b
o11b2o4bo\$2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo2b
2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo\$5bo4bo4b2o
7b2o4bo4bo8bo4bo4b2o7b2o4bo4bo8bo4bo4b2o7b2o4bo4bo8bo4bo4b2o7b2o4bo4bo
\$3ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b
2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2obo\$3bob2o2b3o5bo5bo5b3o2b2obo4bob2o
2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2o
bo\$2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bo
bo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo\$2obo12bobo3bob
o12bob2obo12bobo3bobo12bob2obo12bobo3bobo12bob2obo12bobo3bobo12bo\$4bo
7b2o2bo7bo2b2o7bo6bo7b2o2bo7bo2b2o7bo6bo7b2o2bo7bo2b2o7bo6bo7b2o2bo7bo
2b2o7bo\$2obo12bobo3bobo12bob2obo12bobo3bobo12bob2obo12bobo3bobo12bob2o
bo12bobo3bobo12bo\$2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo
6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo2b2o2bobo2bo6bo2bobo2bo6bo2bobo
\$3bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo4bob2o2b3o5bo5bo
5b3o2b2obo4bob2o2b3o5bo5bo5b3o2b2obo\$3ob2obo6b2o2b5o2b2o6bob2ob4ob2obo
6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2ob4ob2obo6b2o2b5o2b2o6bob2o
bo\$5bo4bo4b2o7b2o4bo4bo8bo4bo4b2o7b2o4bo4bo8bo4bo4b2o7b2o4bo4bo8bo4bo
4b2o7b2o4bo4bo\$2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo
3bo2b2o2bo3bob3obobo7bobob3obo3bo2b2o2bo3bob3obobo7bobob3obo3bo\$2bo4b
2o11bo11b2o4bo2bo4b2o11bo11b2o4bo2bo4b2o11bo11b2o4bo2bo4b2o11bo11b2o4b
o\$2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o3b2o3b2o4b2obo5b
o5bob2o4b2o3b2o3b2o4b2obo5bo5bob2o4b2o\$2bo5bo2b2obo2bo5bo2bob2o2bo5bo
2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2obo2bo5bo2bob2o2bo5bo2bo5bo2b2o
bo2bo5bo2bob2o2bo5bo\$3bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob2o3bo6bo
4bo6bo3b2obo5bob2o3bo6bo4bo6bo3b2obo5bob2o3bo6bo\$2obo5bo7b2o3b2o7bo5bo
b2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bob2obo5bo7b2o3b2o7bo5bo\$4bo
2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo2bo6bo2bo3bob2o11b2obo3bo
2bo6bo2bo3bob2o11b2obo3bo2bo\$5b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o
8b4o4bo2bo7bo2bo4b4o8b4o4bo2bo7bo2bo4b4o\$3b2o2bo4bo4b2o3b2o4bo4bo2b2o
4b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o3b2o4bo4bo2b2o4b2o2bo4bo4b2o
3b2o4bo4bo2b2o\$2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bo
b2obo3bo4bo2b3o5b3o2bo4bo3bob2obo3bo4bo2b3o5b3o2bo4bo3bo\$3bo2bobo5bobo
bobobobobo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo4bo2bobo5bobobobobobo
bo5bobo2bo4bo2bobo5bobobobobobobo5bobo2bo\$3b4o2b2o6bobobobo6b2o2b4o4b
4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o2b4o4b4o2b2o6bobobobo6b2o
2b4o\$2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8bo2bo8bobo2bo7bo2bobo8b
o2bo8bobo2bo7bo2bobo8bo!
Edit: Here is a predecessor for Nicolay's p13:

Code: Select all

x = 204, y = 204, rule = B3/S23
2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o
8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo\$2o2bob2o3bo8b2o8b2ob
4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3b
o8b2o8b2ob4ob2o8b2o8bo3b2obo\$3bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo
2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo
2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo\$2bo2bo2bo3b5o3b2o
7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo
2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo\$2o6bobo3bob2o3bo
3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3b
o3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2obo3bobo\$3bo2b2o
8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob
2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo\$3o2bo12b2o2b
2o2bobo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o
12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2bo\$2o3bo6bobo2b3o2b3o
b2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob
3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo6bo\$3b
2o4bo3bobo2bob4ob2obo2bo6bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob
2obo2bo6bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob2obo2bo6bo2bob2ob
4obo2bobo3bo4b2o\$8bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4obo14bob4o2bo
2b2o2bobob3o10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o
2bo2b4obo\$2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2b
o5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo6bo3b
3ob2o2b2o5bo2bo4bobo\$2o7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4bo
3bo4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo\$3bo3bob2o
bo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4b
ob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo\$3bo4b2obo6bo4bob
ob3o10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo
4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo\$2b3o2bo3bo2bob2o5bo3bo2b10o2bo
3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b
3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o\$2b2o4bo6bobo2bo5b2o2bo
b6obo2b2o5bo2bobo6bo4b2o2b2o4bo6bobo2bo5b2o2bob6obo2b2o5bo2bobo6bo4b2o
2b2o4bo6bobo2bo5b2o2bob6obo2b2o5bo2bobo6bo4b2o\$3b3o3bo4bo9b3ob2o10b2ob
3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob
3o9bo4bo3b3o\$4bo2bo4bob2o6b2obob3o3bo2bo3b3obob2o6b2obo4bo2bo6bo2bo4bo
b2o6b2obob3o3bo2bo3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o3bo2bo3b3o
bob2o6b2obo4bo2bo\$2bo3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o3bo2bo
3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o3bo2bo3b3obob2o6b2obo4bo2bo
6bo2bo4bob2o6b2obob3o3bo\$6b2ob3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo
4bo3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o4b3o3bo4bo9b3ob2o\$4obo2b2o5b
o2bobo6bo4b2o2b2o4bo6bobo2bo5b2o2bob6obo2b2o5bo2bobo6bo4b2o2b2o4bo6bob
o2bo5b2o2bob6obo2b2o5bo2bobo6bo4b2o2b2o4bo6bobo2bo5b2o2bob2o\$6o2bo3bo
5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b3o
2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b
4o\$6b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo4b
2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o\$5b7ob2o2b2o4b
ob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b
2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o\$7bo4bo3bo4b2o3bo7b2o
7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo
7b2o7bo3b2o4bo3bo4bo\$4bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3b
o6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2b
o4bobo2bobo4bo2bo5b2o2b2ob3o3bo\$6b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bo
bob3o10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4ob
o14bob4o2bo2b2o2bobob3o\$4bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob
2obo2bo6bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob2obo2bo6bo2bob2ob
4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob2obo2bo\$2bo3bob2ob3o2b3o2bobo6bo3b
2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3o
b2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo\$3bo3bobo
2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b
2o2bobo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo\$2obobo6bob2o3bo
8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bo
bob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobo\$3obo3bobo3bo3b2obo3bobo
6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3b
obo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bobo\$3bob2o7b2o
3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b
5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo\$2o2bo2bo6b
2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2b
o4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2b
ob2o6bo2bo\$3ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo
2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2obo\$3ob2o
8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o
8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2obo\$2o2bo2bo6b2obo2b2o3bo3b
o2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b
2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo\$
3bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo
2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo\$
3obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2obo3b
obo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3b
o3bobo3bobo\$2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3b
o8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6b
obo\$3bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2b
4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo\$2bo
3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo
6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b
3o2b3ob2obo3bo\$4bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob2obo2bo6bo
2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob4ob2obo2bo6bo2bob2ob4obo2bobo3b
o4b2o4b2o4bo3bobo2bob4ob2obo2bo\$6b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bo
bob3o10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4ob
o14bob4o2bo2b2o2bobob3o\$4bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob
3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o
5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo\$7bo4bo3bo4b2o3bo7b2o7bo3b2o4bo3bo
4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4b
o3bo4bo\$5b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2ob
o3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o
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3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob
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bob3o3bo2bo3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o3bo2bo3b3obob2o6b
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b2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o2bo3bo
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4bobob3o10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo
\$3bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o8b
7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo\$2o7bo
3b2o4bo3bo4bo12bo4bo3bo4b2o3bo7b2o7bo3b2o4bo3bo4bo12bo4bo3bo4b2o3bo7b
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10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4obo14bo
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3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo
3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo
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o2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo
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ob2o3bo3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo
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2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo
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3bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bo
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2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo
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7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo
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3bo3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bob
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3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3b
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bo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo
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2o4b2o4bo3bobo2bob4ob2obo2bo6bo2bob2ob4obo2bobo3bo4b2o4b2o4bo3bobo2bob
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2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o
2bobob3o10b3obobo2b2o2bo2b4obo\$2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o
5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo
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4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob
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3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o
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6bo2bo4bob2o6b2obob3o3bo2bo3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o
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4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o
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2bo3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b
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10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo4b2ob
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2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2b
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8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bo
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2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo
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2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b
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2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o
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8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2o
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3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2o
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2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo
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3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2b
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2o2bo2b4obo14bob4o2bo2b2o2bobob3o10b3obobo2b2o2bo2b4obo14bob4o2bo2b2o
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2bo4bobo2bobo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo
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3o10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo4b
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2bo4bob2o6b2obob3o3bo2bo3b3obob2o6b2obo4bo2bo6bo2bo4bob2o6b2obob3o3bo
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3b3o4b3o3bo4bo9b3ob2o10b2ob3o9bo4bo3b3o\$2b2o4bo6bobo2bo5b2o2bob6obo2b
2o5bo2bobo6bo4b2o2b2o4bo6bobo2bo5b2o2bob6obo2b2o5bo2bobo6bo4b2o2b2o4bo
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3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b
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10b3obobo4bo6bob2o4bo4bo4b2obo6bo4bobob3o10b3obobo4bo6bob2o4bo4bo4b2ob
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b2obo3bo4bo3bob2obo4b2o2b2ob7o8b7ob2o2b2o4bob2obo3bo4bo3bob2obo4b2o2b
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3b2o3bo6bobo2b3o2b3ob2obo3bo2bo3bob2ob3o2b3o2bobo6bo3b2o3bo6bobo2b3o2b
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2o8b2ob4ob2o8b2o8bo3b2obo2b2o2bob2o3bo8b2o8b2ob4ob2o8b2o8bo3b2obo2b2o
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bob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo
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bo4bo2bo5b2o2b2ob3o3bo6bo3b3ob2o2b2o5bo2bo4bobo2bobo4bo2bo5b2o2b2ob3o
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3o2bo3bo2bob2o5bo3bo2b10o2bo3bo5b2obo2bo3bo2b3o2b3o2bo3bo2bob2o5bo3bo
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2bo12b2o2b2o2bobo3bo4bo3bobo2b2o2b2o12bo2b4o2bo12b2o2b2o2bobo3bo4bo3bo
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8bo3b2obo6bobob2obobo6bob2o3bo8b2o2bo4bo2b2o8bo3b2obo6bobob2obobo6bob
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3bo3bobo3bob4obo3bobo3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bob
o3bo3b2obo3bobo6b2o6bobo3bob2o3bo3bobo3bob4obo3bobo3bo3b2obo3bobo\$2bo
2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob
2o7b2o3b5o3bo2bo2bo2bo2bo2bo3b5o3b2o7b2obo4bob2o7b2o3b5o3bo2bo2bo\$3bo
2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o
6bo2bo2b2o2bo2bo6b2obo2b2o3bo3bo2bo4bo2bo3bo3b2o2bob2o6bo2bo2b2o2bo2bo
6b2obo2b2o3bo3bo2bo!