Oscillator Discussion Thread

[MathAndCode]

Although they use a different spark, P4 and P6 oscillators that suffice are in jslife:
P5 didn't have any working examples, so I found something myself:

Nice. They even get rid of the first natural glider. I checked the conduit list and saw that there weren't any conduits that converted a dove into something besides a glider (which is why I was looking for such conduits), but I just remembered that it only lists stable conduits, so what we found may not be new. I'm sorry if I turn out to have wasted your time.

By the way, do I have a particular knack for finding Herschel sequences that did not come from B sequences twenty generations earlier, or are there other conduits like this that were already known? The page dependent conduit says that Fx158 is the only conduit that doesn't make the Herschel from its standard great-grandparent, but it could be inaccurate or outdated.

Also, I saw the Herschel's grandchild in the ash.

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x = 13, y = 9, rule = B3/S23
2o$b2o$bo3$9b2o$9bo$10b3o$12bo!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 29 PASTE b! 6 -2 ]]

Here is the Herschel isolated.

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x = 17, y = 11, rule = B3/S23
15b2o$2o13b2o$b2o$bo3$9b2o$9b2o2$6b2o$6b2o!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 29 PASTE b! 6 -1 ]]

I doubt that it would be possible to get a conduit out of this (although that's what I thought last time).

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x = 19, y = 13, rule = TripleB3S23
17.2G$17.2G5$12.2G$11.2G$12.G2$.G$G.G$AGD!
#C [[ PASTEMODE COPY ]]
#C [[ RLE empty 4.$4.! ]]
#C [[ PASTET 30 ]]
#C [[ PASTE empty -1 10 ]]

I was wrong.

Code: Select all

x = 36, y = 31, rule = B3/S23
2o$bo$bobo$2b2o2$9bo15b2o$9b3o13bo$10bo15bo$25b2o2$32b2o$32bo$33bo$32b2o2$19bo2bo9b2o$17b2o4b2o6bobo$19bo2bo9bo$22b2ob2o6b3o$24b2ob2o6bo$22bo2bo$20b3o3b3o$22bo$22b2obo$23bo2bo$26bo$23bo2bo$24b2o2b2o$28bobo$30bo$30b2o!

Another edit: I somehow made a Herschel going in the opposite direction (although it's definitely useless unless, at the very least, someone finds a more compact V-sparker).

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x = 45, y = 39, rule = LifeHistory
2A$.A$.A.A$2.2A12.3D$17.D$15.3D8$18.C15.2A$18.3C13.A$19.C15.A$34.2A2$41.2A$41.A$42.A$41.2A2$28.A2.A9.2A$26.2A4.2A6.A.A$16.3D.D7.A2.A9.A$17.3D11.2A.2A6.3A$17.3D13.2A.2A6.A$31.A2.A$29.3A3.3A$31.A$17.2A12.2A.A$17.2A13.A2.A$35.A$32.A2.A$33.2A2.2A$37.A.A$39.A$39.2A!

I was wondering what common but not extensively searched methuselahs to search for conduits for, so I tried seeing how this played out.

Code: Select all

x = 5, y = 4, rule = B3/S23
3o$o2bo$bo2bo$2b3o!

To my surprise, it makes two Hershcels minus their first natural gliders, which I had been wondering about ways to make a while back. I decided to look for predecessors, and after finding 3b2o$b2obo$ob2o$2o. I continued looking for predecessors and found this instead.

Code: Select all

x = 5, y = 4, rule = B3/S23
2b3o$3b2o$2o$3o!

I then tried to find paperclip predecessors with less than ten cells based on this, and while I did not find any, I did find this.

Code: Select all

x = 5, y = 7, rule = B3/S23
bo$bobo$3bo$4bo$2o2bo$bo$2bo!

Edit: I just found this when I was trying to remember a partial ∏-to-LOM conduit.

Code: Select all

x = 5, y = 4, rule = B3/S23
bo$bo$ob3o$bo!

Look at the boat (or rather, what becomes of the boat) starting at generation 128.

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x = 16, y = 13, rule = B3/S23
14b2o$14bo$bo10bobo$obo9b2o$2o5$14b2o$8bo5b2o$7b3o$7bo!

Edit: I just realized that it's not just some random collision of a glider with a boat and block but rather a wing plus block reaction, so it doesn't seem so useless now.

Code: Select all

x = 17, y = 51, rule = B3/S23
9bo$7b3o$6bo$6b2o3$3b2o$2bob2o$2bo4bo$3b2o4bo$4bo3bo3$b2o4b2o3$bo3bo$o4b2o$2bo4bo$4b2obo$5b2o3$2b2o$3bo$3o$o5$2bo$2b3o$5bo$4bo$4b2o4$8b3o4b2o$10bo4b2o$8b3o7$6bo$5bobo$5b2o!

By the way, does anyone know of a more compact domino sparker that works?



Edit: This looks significantly harder.

Code: Select all

x = 11, y = 10, rule = B3/S23
2b2o$bo2bo$o2bo$3o5$9b2o$9b2o!
#C [[ PASTET 57 PASTE o! -9 0 ]]
#C [[ T 59 PAUSE 0.5 ]]

It also works when adding a cell to an LoM without other junk.

[wwei23]

Is this P6 component supported by a T-nosed P6/By flops/Why not known? It seems too simple not to be, but I can't find it in jslife anywhere.

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x = 45, y = 42, rule = B3/S23
36b3o$37bo2$35b2ob2o$32b2o7b2o$32bo9bo$33b9o2$33b9o$32bo9bo$6bobo23b2o
7b2o$7bo27b2ob2o$4b2obob2o$7bo29bo$5bobobo26b3o$7bo2$3b2o5b2o21b2o5b2o
$3bo3bo3bo21bo3bo3bo$2obo2b3o2bob2o15b2obo2b3o2bob2o$2obobo3bobob2o15b
2obobo3bobob2o$3bob5obo21bob5obo$3b9o21b9o$36bobo$6bobo28bo$7bo28b3o$
4b2obob2o$7bo28b3o$5bobobo$7bo24b2o2b3o2b2o$32bobo2bo2bobo$33bo7bo2$
33bo7bo$32bobo2bo2bobo$32b2o2b3o2b2o2$36b3o2$36b3o$37bo$37bo!

Oh, and that's after checking x-djb just to make sure.
A bunch of other stuff too:
1. An alternate support for the T-nosed P6, although this is larger than just using another half of said T-nosed P6.

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x = 35, y = 27, rule = B3/S23
5b2ob2o$5bo3bo$6b3o2$6b3o18bo$2b2obo3bob2o14bo$o2bob5obo2bo11b3o$3o9b
3o$3b4ob4o14b3o$2bo9bo$bobo2b3o2bobo8b2o2b3o2b2o$2bobo2bo2bobo9bobo2bo
2bobo$3bo7bo11bo7bo2$3bo7bo11bo7bo$2bobo2bo2bobo9bobo2bo2bobo$bobo2b3o
2bobo7bobo2b3o2bobo$2bo9bo9bo9bo$3b4ob4o11b4ob4o$3o9b3o5b3o9b3o$o2bob
5obo2bo5bo2bob5obo2bo$2b2obo3bob2o9b2obo3bob2o$6b3o17b3o2$6b3o17b3o$5b
o3bo15bo3bo$5b2ob2o15b2ob2o!

2. P6 double century hassler:

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x = 11, y = 42, rule = LifeHistory
5.A$4.3A$4.3A$4.3A2$2A7.2A$A2.5A2.A$.9A2$.9A$A2.5A2.A$2A7.2A2$4.3A$5.
A$4.A.A2$4.A.A$4.3A$4.3A2$2.2C3.2C$3.2C.2C$.C.C3.C.C$.2C5.2C3$4.3A$5.
A2$3.2A.2A$2A7.2A$A9.A$.9A2$.9A$A9.A$2A7.2A$3.2A.2A2$5.A$4.3A!

3. A way to hassle the rotor of a Gray counter:

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x = 37, y = 61, rule = LifeHistory
29.A$28.A.A$27.A.A.A$27.A.A.A$24.2A.5A.2A$23.A.A7.A.A$23.A.A7.A.A$9.A
12.2A.A.5A.A.2A$8.A.A14.A.A.A.A.A$8.A.A14.A.A3.A.A$7.5A14.3A.3A$6.A5.
A16.A$A.2A.A2.A.A2.A.2A.A7.7A$2A.A.3A3.3A.A.2A6.A3.A3.A$4.A9.A10.A7.A
$5.9A10.2A.2A.2A.2A$8.3A11.A2.A.2A.2A.A2.A$3.4A5.4A6.2A.A.A3.A.A.2A$
2.A4.5A4.A8.A.A.A.A.A$2.A2.A7.A2.A8.A7.A$.2A.A.A5.A.A.2A4.2A.A.2A.2A.
A.2A$4.A9.A7.2A.A7.A.2A$4.A2.5A2.A10.A2.3A2.A$3.2A.7A.2A9.A.A.A.A.A$
2.A2.A7.A2.A9.2A3.2A$3.A.A7.A.A$2.2A.4A.4A.2A9.2A3.2A$.A2.A9.A2.A8.A
2.A2.A$2.A.A.7A.A.A10.2A.2A$.2A.A.A2.C2.A.A.2A6.3A2.C2.3A$4.A2.AC.CA
2.A8.A3.AC.CA3.A$4.3A2.C2.3A9.3A2.C2.3A$7.2A.2A15.2A.2A$6.A2.A2.A13.A
2.A2.A$6.2A3.2A13.2A3.2A2$6.2A3.2A13.2A3.2A$5.A.A.A.A.A11.A.A.A.A.A$
5.A2.3A2.A11.A2.3A2.A$2.2A.A7.A.2A5.2A.A7.A.2A$2.2A.A.2A.2A.A.2A5.2A.
A.2A.2A.A.2A$5.A7.A11.A7.A$5.A.A.A.A.A11.A.A.A.A.A$2.2A.A.A3.A.A.2A5.
2A.A.A3.A.A.2A$2.A2.A.2A.2A.A2.A5.A2.A.2A.2A.A2.A$4.2A.2A.2A.2A9.2A.
2A.2A.2A$5.A7.A11.A7.A$5.A3.A3.A11.A3.A3.A$6.7A13.7A$9.A19.A$6.3A.3A
13.3A.3A$5.A.A3.A.A11.A.A3.A.A$5.A.A.A.A.A11.A.A.A.A.A$2.2A.A.5A.A.2A
5.2A.A.5A.A.2A$3.A.A7.A.A7.A.A7.A.A$3.A.A7.A.A7.A.A7.A.A$4.2A.5A.2A9.
2A.5A.2A$7.A.A.A15.A.A.A$7.A.A.A15.A.A.A$8.A.A17.A.A$9.A19.A!

Another thing that I believe might be new is this P8 oscillator that involves a catalytic smiley reaction.

Code: Select all

x = 23, y = 45, rule = B3/S23
8b2obob2o$11bo$8bo5bo$9b5o3$8b3ob3o2$4b2o11b2o$4bobo9bobo$6bo9bo$5b2ob
2o3b2ob2o$5bo2bob3obo2bo$7bo2bobo2bo$8b3ob3o2$6b11o$5bo5bo5bo$4bobob2o
3b2obobo$4bobobob3obobobo$3b2o2bo7bo2b2o$5bobobo3bobobo$3b2obobo5bobob
2o$2bo3bobobobobobo3bo$o2bobobo2bobo2bobobo2bo$2obo15bob2o$3bobo2bob3o
bo2bobo$3bob2ob2obob2ob2obo$2ob2obo2bo3bo2bob2ob2o$2obo2b4obob4o2bob2o
$3bobo4b3o4bobo$3bobobo7bobobo$2b2obo2b7o2bob2o$6b2o7b2o$5b3o2b3o2b3o$
3b2o4bo3bo4b2o$2bo2b2o2b2ob2o2b2o2bo$bobob2ob2obob2ob2obobo$2bo3bo2bo
3bo2bo3bo$3b2o2bo7bo2b2o$4bo2bob5obo2bo$2bo5bobobobo5bo$2b2o5bo3bo5b2o
$6b3o5b3o$6bo9bo!

A for Awesome's stator reduction and alternate tub stabilization:

Code: Select all

x = 48, y = 45, rule = B3/S23
8b2obob2o$11bo$8bo5bo$9b5o2$34bo3bo$8b3ob3o18bobobobo$34bo3bo4$8b2o3b
2o18b2o3b2o$6b3ob3ob3o14b3ob3ob3o$5bo4bobo4bo12bo4bobo4bo$6b5ob5o14b5o
b5o2$6b11o14b11o$5bo5bo5bo12bo5bo5bo$4bobob2o3b2obobo10bobob2o3b2obobo
$4bobobob3obobobo10bobobob3obobobo$3b2o2bo7bo2b2o8b2o2bo7bo2b2o$5bobob
o3bobobo12bobobo3bobobo$3b2obobo5bobob2o8b2obobo5bobob2o$2bo3bobobobob
obo3bo6bo3bobobobobobo3bo$o2bobobo2bobo2bobobo2bo2bo2bobobo2bobo2bobob
o2bo$2obo15bob2o2b2obo15bob2o$3bobo2bob3obo2bobo8bobo2bob3obo2bobo$3bo
b2ob2obob2ob2obo8bob2ob2obob2ob2obo$2ob2obo2bo3bo2bob2ob2o2b2ob2obo2bo
3bo2bob2ob2o$2obo2b4obob4o2bob2o2b2obo2b4obob4o2bob2o$3bobo4b3o4bobo8b
obo4b3o4bobo$3bobobo7bobobo8bobobo7bobobo$2b2obo2b7o2bob2o6b2obo2b7o2b
ob2o$6b2o7b2o14b2o7b2o$5b3o2b3o2b3o12b3o2b3o2b3o$3b2o4bo3bo4b2o8b2o4bo
3bo4b2o$2bo2b2o2b2ob2o2b2o2bo6bo2b2o2b2ob2o2b2o2bo$bobob2ob2obob2ob2ob
obo4bobob2ob2obob2ob2obobo$2bo3bo2bo3bo2bo3bo6bo3bo2bo3bo2bo3bo$3b2o2b
o7bo2b2o8b2o2bo7bo2b2o$4bo2bob5obo2bo10bo2bob5obo2bo$2bo5bobobobo5bo6b
o5bobobobo5bo$2b2o5bo3bo5b2o6b2o5bo3bo5b2o$6b3o5b3o14b3o5b3o$6bo9bo14b
o9bo!

Blinkerspawn's further reduction of the stator:

Code: Select all

x = 48, y = 45, rule = B3/S23
8b2obob2o$11bo$8bo5bo$9b5o2$34bo3bo$8b3ob3o18bobobobo$34bo3bo4$8b2o3b
2o18b2o3b2o$6b3ob3ob3o14b3ob3ob3o$5bo4bobo4bo12bo4bobo4bo$6b5ob5o14b5o
b5o2$6b11o14b11o$5bo5bo5bo12bo5bo5bo$4bobob2o3b2obobo10bobob2o3b2obobo
$4bobobob3obobobo10bobobob3obobobo$3b2o2bo7bo2b2o8b2o2bo7bo2b2o$5bobob
o3bobobo12bobobo3bobobo$3b2obobo5bobob2o8b2obobo5bobob2o$2bo3bobobobob
obo3bo6bo3bobobobobobo3bo$o2bobobo2bobo2bobobo2bo2bo2bobobo2bobo2bobob
o2bo$2obo15bob2o2b2obo15bob2o$3bobo2bob3obo2bobo8bobo2bob3obo2bobo$3bo
b2ob2obob2ob2obo8bob2ob2obob2ob2obo$2ob2obo2bo3bo2bob2ob2o2b2ob2obo2bo
3bo2bob2ob2o$2obo2b4obob4o2bob2o2b2obo2b4obob4o2bob2o$3bobo4b3o4bobo8b
obo4b3o4bobo$3bobobo7bobobo8bobobo7bobobo$2b2obo2b7o2bob2o6b2obo2b7o2b
ob2o$6b2o7b2o14b2o7b2o$5b3o2b3o2b3o12b3o2b3o2b3o$3b2o4bo3bo4b2o8b2o4bo
3bo4b2o$2bo2b2o2b2ob2o2b2o2bo6bo2b2o2b2ob2o2b2o2bo$2b2ob2ob2obob2ob2ob
2o6b2ob2ob2obob2ob2ob2o$6bo2bo3bo2bo14bo2bo3bo2bo$bob2o2bo7bo2b2obo4bo
b2o2bo7bo2b2obo$b2obo2bob5obo2bob2o4b2obo2bob5obo2bob2o$8bobobobo18bob
obobo$9bo3bo20bo3bo$6b3o5b3o14b3o5b3o$6bo9bo14bo9bo!

And finally, my dimer:

Code: Select all

x = 23, y = 74, rule = B3/S23
6bo9bo$6b3o5b3o$2b2o5bo3bo5b2o$2bo5bobobobo5bo$4bo2bob5obo2bo$3b2o2bo
7bo2b2o$2bo3bo2bo3bo2bo3bo$bobob2ob2obob2ob2obobo$2bo2b2o2b2ob2o2b2o2b
o$3b2o4bo3bo4b2o$5b3o2b3o2b3o$6b2o7b2o$2b2obo2b7o2bob2o$3bobobo7bobobo
$3bobo4b3o4bobo$2obo2b4obob4o2bob2o$2ob2obo2bo3bo2bob2ob2o$3bob2ob2obo
b2ob2obo$3bobo2bob3obo2bobo$2obo15bob2o$o2bobobo2bobo2bobobo2bo$2bo3bo
bobobobobo3bo$3b2obobo5bobob2o$5bobobo3bobobo$3b2o2bo7bo2b2o$4bobobob
3obobobo$4bobob2o3b2obobo$5bo5bo5bo$6b11o2$6b5ob5o$5bo4bobo4bo$6b3ob3o
b3o$8b2o3b2o7$8b2o3b2o$6b3ob3ob3o$5bo4bobo4bo$6b5ob5o2$6b11o$5bo5bo5bo
$4bobob2o3b2obobo$4bobobob3obobobo$3b2o2bo7bo2b2o$5bobobo3bobobo$3b2ob
obo5bobob2o$2bo3bobobobobobo3bo$o2bobobo2bobo2bobobo2bo$2obo15bob2o$3b
obo2bob3obo2bobo$3bob2ob2obob2ob2obo$2ob2obo2bo3bo2bob2ob2o$2obo2b4obo
b4o2bob2o$3bobo4b3o4bobo$3bobobo7bobobo$2b2obo2b7o2bob2o$6b2o7b2o$5b3o
2b3o2b3o$3b2o4bo3bo4b2o$2bo2b2o2b2ob2o2b2o2bo$bobob2ob2obob2ob2obobo$
2bo3bo2bo3bo2bo3bo$3b2o2bo7bo2b2o$4bo2bob5obo2bo$2bo5bobobobo5bo$2b2o
5bo3bo5b2o$6b3o5b3o$6bo9bo!

[dvgrn]

...With modern catalysts, these over-unity reactions may lead to guns:

Code: Select all

rle

Nice! This reaction has repeat time 66 it looks like (less than Syringe range, so it could well reduce things):

Code: Select all

x = 67, y = 59, rule = LifeHistory
58.A$58.A.A$58.2A14$42.A$41.A$41.3A4$30.A$28.3A$27.A$4.A22.2A33.A$3.A
.A55.A.A$3.A.A55.A.A$2.2A.2A53.2A.2A$.A2.A2.A51.A2.A2.A$A.A.A.A.A8.3D
27.3D8.A.A.A.A.A$.A.A.A.A9.D31.D9.A.A.A.A$3.A.A11.3D27.3D11.A.A$2.A2.
A26.3D26.A2.A$3.2A27.D.D27.2A$32.D.CA$34.A.A$4.2A28.A26.2A$4.2A55.2A$
32.2A$31.A.A$33.A11$50.3A$50.A$51.A2$15.3A$17.A$16.A!

Cross-posting this from the Accidental Discoveries thread. The mechanism allows for new Herschel-less oscillators and true-period guns in the p70-p73 range, but it seems somewhat unlikely that it will set any records for size or population. Here's a sample unoptimized p73 oscillator/gun:

Code: Select all

x = 160, y = 144, rule = LifeHistory
39.2A$39.A.A$41.A4.2A$37.4A.2A2.A2.A$37.A2.A.A.A.A.2A$39.BABABA.A71.
2A$40.B2ABA.A71.A.A$40.3B.BA74.A4.2A$40.3B73.4A.2A2.A2.A$31.2A6.5B72.
A2.A.A.A.A.2A$32.A6.B2A3B73.BABABA.A$32.A.AB3.B2A4B73.B2ABA.A$33.2AB.
10B73.2B.BA$35.13B54.2A15.3B$35.14B52.A.A6.2A6.4B$35.15B45.2A4.A9.A6.
B2A3B$37.8B2.3BA42.A2.A2.2A.4A5.A.AB3.B2A3B$37.6B5.ABAB41.2A.A.A.A.A
2.A6.2AB.10B$36.9B4.2A2B43.A.ABABAB10.13B$35.4B4.2A5.4B42.A.AB2AB11.
14B$34.4B5.A7.4B42.AB.2B12.15B$33.4B7.3A5.4B44.3B13.8B2.4B$32.A3B10.A
6.4B43.4B6.2A4.2A4B5.4B$31.B2AB19.4B40.3B2AB6.A4.ABA6B4.4B$30.BABA21.
4B38.4B2AB3.BA.A3.3BA4.2A5.4B$29.4B23.4B36.10B.B2A2.5B5.A7.4B$28.4B
25.4B34.13B4.4B7.3A5.2BAB$27.4B27.4B32.14B3.4B10.A6.2B2A$26.4B29.4B
30.15B2.4B19.2A2B13.A$25.4B31.4B28.4B2.8B3.5B20.4B10.3A$24.4B33.4B26.
BA2B5.6B2.4B23.4B8.A$23.4B35.4B24.2A2B4.13B25.4B7.2A$22.4B37.4B22.2B
2A5.2A4.6B27.4B3.5B$21.4B39.4B20.4B7.A5.4B29.4B2.3B$20.4B41.2BAB18.4B
5.3A5.4B2A29.9B7.2A$19.4B32.2A9.2B2A16.4B6.A6.5BABA29.8B8.A$18.4B34.A
10.2A2B14.4B13.4B2.A3B29.10B3.B.A.2A$17.4B35.A.AB2.B5.4B12.4B10.B2.4B
4.4B28.7B2A2B.B3A2.A$16.4B37.2AB.4B4.4B10.4B9.8B6.4B27.7B2A3BAB2.2A$
3.2A10.4B40.8B3.4B8.4B8.9B8.4B26.12B4A$4.A9.4B41.3BA4B4.4B6.4B9.4BA3B
10.4B23.2AB.7B3.2B.A$2.A10.3AB43.B2A5B4.4B4.4B9.5B2AB12.4B21.A.AB.7B
2.B3A$2.5A5.3BA5.2A36.2BABA5B4.4B2.4B.B7.5BABA2B12.4B20.A5.5B3.A$7.A
4.2BAB5.A38.9B5.12B6.9B14.4B18.2A5.A4B4.5A$4.3AB2.7B.BA.A29.2A8.7B6.
13B6.7B8.2A6.4B23.A3B10.A$3.A.AB3.7B.B2A29.B2AB7.9B4.13B4.9B7.B2AB6.
4B21.B3A9.A$3.AB2A12B32.2B7.11B2.B5A3B5AB2.11B7.2B8.4B19.4B10.2A$.2A
2.A2BAB2A7B31.2B7.14B2A11B2A14B7.2B8.4B6.A10.4B$A2.2A2B.3BA7B30.B2A2B
6.16BAB2AB2ABA16B6.2B2AB8.4B5.3A7.4B$2A.A.B3.2A8B30.A.BAB.2B2.12BABA
2BABABABABA2BABA12B2.2B.BAB.A9.4B7.A5.4B$3.A8.8B30.A.A.17BABA4BABABA
4BABA17B.A.A11.4B5.2A4.4B$3.2A7.9B27.A.A.A.A17B2ABA2BABABA2BAB2A17BA.
A.A.A10.4B4.9B$13.3B2.4B25.A.A.A.ABA20B9A20BABA.A.A.A10.3BA5.6B$11.5B
3.4B25.A2.A2.AB2.16B.11B.16B2.BA2.A2.A12.B2AB2.8B$11.2A7.4B25.2A.2AB
4.15B2.2B.4B.B2.15B4.B2A.2A14.ABA12B$12.A8.4B25.A.A5.17B3.B3A5.16B5.A
.A16.14B$9.3A10.4B24.A.A6.12B.5B2A2B4.4B.12B6.A.A17.13B$9.A13.4B24.A
9.9B3.3B2A2B5.2A4.9B9.A19.10B.B2A$24.2B2A33.7B6.4BAB6.A6.7B30.4B2AB3.
BA.A$25.2A2B31.9B6.4B4.3A6.9B30.3B2AB6.A$26.BA2B29.2BABA5B5.6B3.A8.5B
ABA2B30.5B6.2A$27.4B29.B2A5B5.8B12.5B2AB32.4B$28.4B27.3BA4B5.4B2.4B
12.4BA3B28.AB.5B$29.4B25.9B4.4B4.4B11.9B26.A.AB2A4B$30.4B23.8B5.4B6.
4B12.8B25.A.ABABAB$31.4B21.4B2.B6.4B8.4B13.B2.4B21.2A.A.A.A.A2.A$32.
4B19.4B9.4B10.4B16.4B20.A2.A2.2A.4A$33.4B6.A10.4B9.4B12.3BA16.4B21.2A
4.A$34.4B5.3A7.4B9.4B5.2A7.ABAB16.4B26.A.A$35.4B7.A5.4B9.4B5.B2AB7.2A
2B16.4B26.2A$36.4B5.2A4.4B9.5B.2B3.2B9.4B16.4B$37.4B4.9B9.10B3.4B7.4B
16.4B$38.4B5.6B9.11B2.6B7.4B16.4B$39.4B2.5B3A8.9B3A2.7B.2B4.4B16.4B$
40.3BAB2ABA4BAB3.2A10BA2BA10B2A4.4B16.4B$41.2BA3BABA3BAB4.A3B.3B.BA3B
A3B3A4B2A5.4B16.4B$42.BA4BA4BAB4.ABAB2.9BA2BABA5B7.4B16.4B$43.B2A5B2A
.B2A2.B2AB2.2B2A3B2A3B3A4B9.4B16.4B$45.BA3BA3.BA.A.B.4BA5B3A10B10.4B
16.3BA$45.BA3BA6.A4.3BA4BA2BA11B10.4B16.ABAB$47.3AB6.2A3.3BA6BAB2A8B
2.B9.4B16.2A2B$47.3B14.3B2A3BAB2A8B.B2A9.4B16.4B$44.AB.2B15.10BA2B3A
6B2A10.4B16.4B$43.A.AB2AB14.5BA3BA3BABA4B.2B12.4B16.4B$43.A.ABABAB14.
5BA2BA3B3A4B16.4B16.4B$40.2A.A.A.A.A2.A13.4B3A11B17.2BAB16.4B$40.A2.A
2.2A.4A12.19B18.2B2A16.4B$42.2A4.A15.19B20.2A2B16.4B$48.A.A12.22B19.
4B16.4B$49.2A11.4B3.7B.6B2A.A18.4B16.4B$61.4B5.B2AB4.2B2.B2AB3A11.2A
4.4B16.4B$60.4B7.2A11.B4.A9.A.A5.4B16.4B$59.2A2B20.2A.3A4.2A4.A8.4B
16.4B$58.ABAB22.A.A4.A2.A2.2A.4A5.4B16.4B$57.3BA23.A.A4.2A.A.A.A.A2.A
6.4B16.4B$56.4B25.A8.A.ABABAB9.4B16.4B$55.4B35.A.AB2AB11.4B16.2BAB$
54.4B37.AB.2B13.4B16.2B2A13.A$53.4B41.3B13.4B16.2A2B10.3A$40.2A10.4B
42.4B6.2A5.4B16.4B8.A$41.A9.4B41.3B2AB6.A7.4B16.4B7.2A$39.A10.4B42.3B
2AB3.BA.A8.4B16.4B3.5B$39.5A5.4B5.2A34.10B.B2A10.4B16.4B2.3B$44.A3.5B
5.A34.13B13.3BA16.9B7.2A$41.3AB2.7B.BA.A33.14B14.3BA16.8B8.A$40.A.2B
2.8B.B2A33.15B15.3AB16.10B3.B.A.2A$40.4A12B34.BA2B2.8B18.4B15.7B2A2B.
B3A2.A$38.2A2.BA3B2A7B33.2A2B5.6B19.4B14.7B2A3BAB2.2A$37.A2.3A4B2A7B
32.2B2A4.9B19.4B13.12B4A$37.2A.A.13BA31.4B5.2A4.4B19.4B10.2AB.7B3.2B.
A$40.A4B4.5B2AB29.4B7.A5.4B19.4B8.A.AB.7B2.B3A$40.2A2B5.5BABAB27.4B5.
3A7.4B19.4B7.A5.4B4.A$39.4B7.3B2.4B25.4B6.A10.2B2A19.4B5.2A5.4B5.5A$
38.4B6.5B3.4B23.4B19.BABA19.4B10.A3B10.A$48.2A7.4B21.4B21.A3B19.4B8.A
3B9.A$49.A8.4B19.4B23.4B19.4B6.B3A10.2A$46.3A10.4B6.A10.4B25.4B19.4B
4.4B$46.A13.4B5.3A7.4B27.4B19.4B2.4B$61.4B7.A5.4B29.4B19.8B$62.4B5.2A
4.4B31.4B19.6B$63.4B4.9B33.4B19.4B$64.4B5.6B35.4B6.A10.6B$65.4B2.2B2A
4B36.4B5.3A7.5BABA$66.7B2A6B35.4B7.A5.4B2.B2AB$67.6BABA5B36.4B5.2A4.
4B4.A3B$68.6BA6B37.4B4.9B6.4B$69.5BA4B.B2A36.4B5.3BA2B8.4B$71.6B3.BA.
A36.4B2.6BAB9.4B$71.6B6.A37.4B2A2BA2B2A2B8.4B$73.4B6.2A37.2B3ABABAB3A
B9.4B$73.3B47.2B2A2BA2B2A2B10.4B$70.AB.2B49.2BA5BAB.B2A9.4B$69.A.AB2A
B50.B5A3.BA.A9.4B$69.A.ABABAB49.2B3AB6.A10.4B$66.2A.A.A.A.A2.A49.BA2B
6.2A10.4B$66.A2.A2.2A.4A49.3B20.4B$68.2A4.A50.AB.2B22.4B$74.A.A47.A.A
B2AB22.4B$75.2A47.A.ABABAB22.4B$121.2A.A.A.A.A2.A21.4B$121.A2.A2.2A.
4A22.3BA$123.2A4.A27.ABA$129.A.A26.2A$130.2A!

[MathAndCode]

Cross-posting this from the Accidental Discoveries thread. The mechanism allows for new Herschel-less oscillators and true-period guns in the p70-p73 range, but it seems somewhat unlikely that it will set any records for size or population. Here's a sample unoptimized p73 oscillator/gun:

Could it result in smaller guns at p82 or p164?

Code: Select all

x = 177, y = 162, rule = LifeHistory
6.A.A$7.2A$7.A3$140.A$139.A$139.3A34$47.A.A17.A$48.2A17.3A$48.A21.A$69.
2A$71.3D$71.D.D25.A$71.D.D24.A$98.3A4$87.A$85.3A$84.A$84.2A33.A$118.A
.A$118.A.A$117.2A.2A$116.A2.A2.A$74.3D27.3D8.A.A.A.A.A$60.2A12.D31.D9.
A.A.A.A$61.A12.3D27.3D11.A.A$58.3A28.3D26.A2.A$58.A4.2A24.D.D27.2A$64.
A24.D.CA$64.A.A24.A.A$65.2A24.A26.2A$118.2A$89.2A$88.A.A$90.A$43.2A$43.
2A51.2A$96.A.A$71.D.D24.A$42.2A27.D.D24.2A4.A$41.A2.A26.3D28.3A$42.A.
A11.3D27.3D12.A$40.A.A.A.A9.D31.D12.2A$39.A.A.A.A.A8.3D27.3D$40.A2.A2.
A$41.2A.2A$42.A.A$42.A.A$43.A33.2A$78.A$75.3A$75.A5$89.D.D$89.D.D$89.
3D$92.2A$92.A$93.3A$95.A13$42.2A$41.A.A$43.A4$134.2A$133.2A$135.A33$.
2A$A.A$2.A4$175.2A$174.2A$176.A!

I looked before posting, but this link and this link don't seem to work, and I couldn't find p82 or p164 guns elsewhere in that folder. However, the bounding box seems to be rather large (59×85=5,015 (not including the stabilizing gliders)) even without including the necessary reflectors.

[dvgrn]

I looked before posting, but this link and this link don't seem to work, and I couldn't find p82 or p164 guns elsewhere in that folder.

You're not looking in the right place. There won't be a gun in the "fixed" folder unless there's a record-breaking fixed-period gun at that specific period. The majority of guns are variable-period, and you have to adjust them to get the specific period and bounding box referenced in the README. Always start from the README:

82 (4392, 'p00436_7')
...
162 (4047, 'p00438osc6_6')

Both of these guns have a bounding box less than 4400 cells, whereas the pattern you're looking at is 85x59 = 5015 without adding a single reflector -- the bounding box is already over 5000 cells.

So ... no, that over-unity reaction won't set any records in the gun collection.

True Periods
One place where this kind of reaction could possibly set some new records would be in the range between p43 and p53 -- that is, if an over-unity reaction can be found that recovers that quickly, and where inputs can be connected to outputs using nothing but Snarks.

A gun based on something like that might still not be smaller than what's in the gun collection, but it would be true period, and I think there are no known true-period p43, p47, p49, p51, or p53 glider guns at the moment.

Complete Gun Collection
The fact that a lot of gun periods are not actually represented in the p14-p1024 gun collection kind of bothered me for a long time, because its predecessor on Jason Summers' website _did_ have all periods included. A while back I wrote a builder script to fill in the missing periods, and checked in the results to a GitHub repository (the final ZIP file). That's a good place to look for specific guns, at least until chris_c's next update to his repo.

[MathAndCode]

Is there an oscillator that makes this work?

Code: Select all

x = 23, y = 29, rule = B3/S23
20bobo$20b2o$21bo3$2o$bo$bobo$2b2o$11bobo$11b2o$6b2o4bo$5bo2bo$6bobo$
7bo4$9b2ob2o$7b3obob3o$6bo4bo4bo$6bob2o2b2obobo$7bo2b2o3bobo$8b2o2b2o
bobob2o$10bo4bobob2o$10b4ob2o$14bo$12bobo$12b2o!
[[ PASTET EVERY 36 16 PASTE o! 5 16 ]]
[[ PASTET EVERY 36 0 PASTE obo$2o$bo! 29 -9 ]]

The dot spark can come one generation earlier in the same position.

Code: Select all

x = 23, y = 29, rule = B3/S23
20bobo$20b2o$21bo3$2o$bo$bobo$2b2o$11bobo$11b2o$6b2o4bo$5bo2bo$6bobo$
7bo4$9b2ob2o$7b3obob3o$6bo4bo4bo$6bob2o2b2obobo$7bo2b2o3bobo$8b2o2b2o
bobob2o$10bo4bobob2o$10b4ob2o$14bo$12bobo$12b2o!
[[ PASTET EVERY 36 15 PASTE o! 5 16 ]]
[[ PASTET EVERY 36 0 PASTE obo$2o$bo! 29 -9 ]]

I'm sure that the period would have to be higher in order to liberate the glider.

[dvgrn]

Is there an oscillator that makes this work?...
I'm sure that the period would have to be higher in order to liberate the glider.

Here again I really wish you'd make the interference visible:

Code: Select all

x = 23, y = 29, rule = LifeHistory
20.A.A$20.2A$21.A3$2A$.A$.A.A$2.2A$11.A.A$11.2A$6.2A4.A$5.A2.A$6.A.A$
7.A4$9.2A.2A$7.3A.A.3A$6.A4.A4.A$6.A.2A2.2A.A.A$7.A2.2A3.A.A$8.2A2.2A
.A.A.2A$10.A4.A.A.2A$10.4A.2A$14.A$12.A.A$12.2A!
[[ PASTEMODE COPY ]]
[[ PASTET EVERY 36 16 PASTE C! 5 16 ]]
[[ PASTET EVERY 36 0 PASTE obo$2o$bo! 29 -9 ]]

The key spark is in a slightly different place, off by (-2,-1), but isn't this pretty much a reinvention of a standard bumper reaction? You'd just get the same exact glider out:

Code: Select all

x = 24, y = 24, rule = LifeHistory
21.A.A$21.2A$22.A3$.2A$2.A$2.A.A$3.2A$12.A.A$12.2A$7.2A4.A$6.A2.A$7.A
.A$A7.A$3A12.A$3.A12.A$2.A5.D5.3A$2.A2.A2.2A$5.A2.2A$3.A.A$2.A.A$2.A$
.2A!

[MathAndCode]

The key spark is in a slightly different place, off by (-2,-1), but isn't this pretty much a reinvention of a standard bumper reaction? You'd just get the same exact glider out:

Code: Select all

x = 24, y = 24, rule = LifeHistory
21.A.A$21.2A$22.A3$.2A$2.A$2.A.A$3.2A$12.A.A$12.2A$7.2A4.A$6.A2.A$7.A
.A$A7.A$3A12.A$3.A12.A$2.A5.D5.3A$2.A2.A2.2A$5.A2.2A$3.A.A$2.A.A$2.A$
.2A!

Yes, but I noticed that the bumper is not as picky about the timing of the spark as LifeWiki says it is, so I decided to investigate further.

Another edit: It turns out that the spark for a bumper can be delivered one generation earlier than the LifeWiki page says, but it creates a block that must be eaten.

Code: Select all

x = 52, y = 60, rule = B3/S23
2bo$obo$b2o13$17bo$15bobo$16b2o10$29bo$27bobo$28b2o7$38bo$36bobo$37b2o
2$39b2o5b2o$38bo2bo4b2o$38bobo$39bo$45bo$34b2o8bo2bo$35bo8bo2bo$32b3o
9bo2bo$32bo9bo3bob3o$42b4obo$40b2o4bo4bo$41bob2obob3o$37b3obob2obo$36b
o4bo4b2o$40bob4o$37b3obo3bo$40bo2bo$40bo2bo$40bo2bo$42bo!

Certain other types of sparks, such as V sparks in a certain orientation, prevent the block from forming, thus making a block eater unnecessary.




Yet another edit: I found another oscillator that can support the alternative bumper mechanism that I may have discovered.

Code: Select all

x = 46, y = 43, rule = B3/S23
o$b2o$2o13$15bo$16b2o$15b2o5$37b2o$37bo$35bobo$35b2o$27bo$28bo$26b3o2b
2o$30bo2bo$30bobo$31bo$36b3o2b3o$35bo8bo$36b3o2b3o$38bo2bo$30b2o$30b2o
$36bo6bo$35b2o6b2o$34b3o6b3o$35b2o6b2o$36bo6bo!

Here are the LifeHistory versions.

Code: Select all

x = 52, y = 60, rule = LifeHistory
2.A$A.A$.2A13$17.A$15.A.A$16.2A10$29.A$27.A.A$28.2A7$38.A$36.A.A$37.2A2$39.2A5.2A$38.A2.A4.2A$38.A.A$39.A3.D$45.A$34.2A8.A2.A$35.A8.A2.A$32.3A9.A2.A$32.A9.A3.A.3A$42.4A.A$40.2A4.A4.A$41.A.2A.A.3A$37.3A.A.2A.A$36.A4.A4.2A$40.A.4A$37.3A.A3.A$40.A2.A$40.A2.A$40.A2.A$42.A!

Code: Select all

x = 46, y = 43, rule = LifeHistory
A$.2A$2A13$15.A$16.2A$15.2A5$37.2A$37.A$35.A.A$35.2A$27.A$28.A$26.3A2.2A$30.A2.A$30.A.A$31.A$36.3A2.3A$33.D.A8.A$36.3A2.3A$38.A2.A$30.2A$30.2A$36.A6.A$35.2A6.2A$34.3A6.3A$35.2A6.2A$36.A6.A!

This might compact some glider guns slightly if one goes by the area of the bounding box.

[JP21]

Random p32 oscillator:

Code: Select all

x = 45, y = 33, rule = B3/S23
4$20b2o$19bo2bo$20bobo4bo$18b2obo3b3o$18b3o3bo$18b2o4b2o2$30b2o$30b2o
2bo$12b3o7bo7bo4bo$21bobo6bo4bo$7b2ob2o9bobo6bo$7b2obobo7bo2bo7bobob2o
$13bo6bobo9b2ob2o$8bo4bo6bobo$8bo4bo7bo7b3o$9bo2b2o$12b2o2$18b2o4b2o$
19bo3b3o$16b3o3bob2o$16bo4bobo$21bo2bo$22b2o

[MathAndCode]

Random p32 oscillator:

Code: Select all

x = 45, y = 33, rule = B3/S23
4$20b2o$19bo2bo$20bobo4bo$18b2obo3b3o$18b3o3bo$18b2o4b2o2$30b2o$30b2o
2bo$12b3o7bo7bo4bo$21bobo6bo4bo$7b2ob2o9bobo6bo$7b2obobo7bo2bo7bobob2o
$13bo6bobo9b2ob2o$8bo4bo6bobo$8bo4bo7bo7b3o$9bo2b2o$12b2o2$18b2o4b2o$
19bo3b3o$16b3o3bob2o$16bo4bobo$21bo2bo$22b2o

That is the latest that I have ever seen something enter the blockade sequence. How did you find it?

[Hunting]

Random p32 oscillator:

Code: Select all

x = 45, y = 33, rule = B3/S23
4$20b2o$19bo2bo$20bobo4bo$18b2obo3b3o$18b3o3bo$18b2o4b2o2$30b2o$30b2o
2bo$12b3o7bo7bo4bo$21bobo6bo4bo$7b2ob2o9bobo6bo$7b2obobo7bo2bo7bobob2o
$13bo6bobo9b2ob2o$8bo4bo6bobo$8bo4bo7bo7b3o$9bo2b2o$12b2o2$18b2o4b2o$
19bo3b3o$16b3o3bob2o$16bo4bobo$21bo2bo$22b2o

Congrats. Ur famous now.

[MathAndCode]

Why does the page for Figure eight on rattlesnake show a variant with a larger bounding box than the version below?

Code: Select all

x = 20, y = 15, rule = B3/S23
8b2o$8bo$9bo$8b2o$14b3o$14b3o$14b3o$5bo11b3o$5b2o10b3o$2obobob3o7b3o$ob2obobobo$6bo2b3o$7b2o3bo$9b3o$9bo!

(The width of the version that the page shows is 17 instead of 15.)

[bubblegum]

Why does the page for Figure eight on rattlesnake show a variant with a larger bounding box than the version below?

Code: Select all

x = 20, y = 15, rule = B3/S23
8b2o$8bo$9bo$8b2o$14b3o$14b3o$14b3o$5bo11b3o$5b2o10b3o$2obobob3o7b3o$ob2obobobo$6bo2b3o$7b2o3bo$9b3o$9bo!

(The width of the version that the page shows is 17 instead of 15.)

Historical reasons, i.e. the first-constructed figure-eight on rattlesnake had that orientation.

[MathAndCode]

Historical reasons, i.e. the first-constructed figure-eight on rattlesnake had that orientation.

Ah; thank you for explaining.

[JP21]

That is the latest that I have ever seen something enter the blockade sequence. How did you find it?

Just trying to place eaters and dots on the LoM so I don't really think it's new.

[Sphenocorona]

Here's another near-miss attempt at p41 wick stabilization that I haven't seen before:

Code: Select all

x = 23, y = 73, rule = LifeHistory
5.2BC2B3.2BC2B$4.2BCBC2B.2BCBC2B$4.BC.BC2B.2BCB.CB$4.2B2C3B.3B2C2B$2.
2CB.5B.5B.B2C$.C.CB.3BAB.BA3B.BC.C$.C5.BA2B.2BAB5.C$2C4.2BABA.ABA2B4.
2C$5.5BA.A5B$4.7B.7B$5.6B.6B$5.6B.6B$6.5B.5B$5.6B.6B$4.7B.7B$2.6B3C.
3C6B$2.6BCBC.CBC6B$3.5B3C.3C5B$2.9B.9B$2.C8B.8BC$.BC3B11.3BCB$2.C8B.
8BC$2.9B.9B$3.5B3C.3C5B$2.6BCBC.CBC6B$2.6B3C.3C6B$4.7B.7B$5.6B.6B$6.
5B.5B$5.6B.6B$5.6B.6B$4.7B.7B$5.6B.6B$6.5B.5B$7.4B.4B$7.4B.4B2$7.4B.
4B$7.4B.4B$6.5B.5B$5.6B.6B$4.7B.7B$5.6B.6B$5.6B.6B$6.5B.5B$5.6B.6B$4.
7B.7B$2.6B3C.3C6B$2.6BCBC.CBC6B$3.5B3C.3C5B$2.9B.9B$2.C8B.8BC$.BC3B
11.3BCB$2.C8B.8BC$2.9B.9B$3.5B3C.3C5B$2.6BCBC.CBC6B$2.6B3C.3C6B$4.7B.
7B$5.6B.6B$6.5B.5B$5.6B.6B$5.6B.6B$4.7B.7B$5.5BA.A5B$2C4.2BABA.ABA2B
4.2C$.C5.BA2B.2BAB5.C$.C.CB.3BAB.BA3B.BC.C$2.2CB.5B.5B.B2C$4.2B2C3B.
3B2C2B$4.BC.BC2B.2BCB.CB$4.2BCBC2B.2BCBC2B$5.2BC2B3.2BC2B!

[wwei23]

P5 didn't have any working examples, so I found something myself:

Code: Select all

x = 38, y = 20, rule = B3/S23
35b2o$34bo2bo$27b2o4bo2bo$27b2o4b3o$23b2o$22bo2bo$21bobobo$3bo6b2o2bo
2bo2bobo2b2o$2bobo4bob10obobo$bo2bo2b3o11bobob2o$bob2obo3b2o2bob3o2bob
o2b2o$2o2bob4o2bobo4bobobob2o$2bo3bo2b3o6bob2o3bo$2b2ob2obo2bob2o3bo2b
2o2b3o$2o4bob3o4b2obobo2bo2b2o$bob3o5b3o3b2ob4obo3bo$bobo6bo3b2o8b2ob
3o$2bo7b2o2bob3ob3o3bo$18bobo2b2o2bo$23bob2o!

Minor stator reduction:

Code: Select all

x = 38, y = 20, rule = B3/S23
35b2o$34bo2bo$27b2o4bo2bo$27b2o4b3o$23b2o$22bo2bo$21bobobo$3bo6b2o2bo
2bo2bobo2b2o$2bobo4bob10obobo$bo2bo2b3o11bobob2o$bob2obo3b2o2bob3o2bob
o2b2o$2o2bob4o2bobo4bobobob2o$2bo3bo2b3o6bob2o3bo$2b2ob2obo2bob2o3bo2b
2o2b3o$2o4bob3o4b2obobo2bo2b2o$bob3o5b3o3b2ob4obo3bo$bobo6bo3b2o8b2ob
3o$2bo7b2o2bo7bo3bo$15bo6b2obo2b2o$14b2o10b2obo!

[MathAndCode]

Minor stator reduction:

Why not use stator-reducing computer programs? (This does not mean that I do not value your work. In fact, it is because I value your creativity and ability to perform innovative work that I believe that you should not have to waste time doing tasks that can be performed by computers.)

[bubblegum]

Minor stator reduction:

Why not use stator-reducing computer programs? (This does not mean that I do not value your work. In fact, it is because I value your creativity and ability to perform innovative work that I believe that you should not have to waste time doing tasks that can be performed by computers.)

You know you can make minor stator reductions with a script as well?

[MathAndCode]

Although they use a different spark, P4 and P6 oscillators that suffice are in jslife

Can the same spark be replaced for a different reaction?

Code: Select all

x = 4, y = 4, rule = LifeHistory
3.A$3.A$3.A$3A!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 25 PASTE C$C2$C! 1 -2 ]]

Here is an alternative that is probably less practical.

Code: Select all

x = 4, y = 4, rule = LifeHistory
3.A$3.A$3.A$3A!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 25 PASTE C$C$2C$2C$C.C! -1 -4 ]]

Edit: This forms a LWSS instead of a MWSS but also needs a more practical spark.

Code: Select all

x = 4, y = 4, rule = LifeHistory
3.A$3.A$3.A$3A!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 25 PASTE .C$.C$3C$.2C$.2C$.C! -1 -4 ]]

EDIT by dvgrn: added PASTEMODE COPY -- otherwise a state-3 'C' LifeHistory cell will by reduced to state 1 during the paste operation.

[wwei23]

FINALLY! Left is the best I could do for width, right is the best I could do for population.

Code: Select all

x = 72, y = 137, rule = B3/S23
15bo39bo$14bobo37bobo3$9b3o2bobo2b3o27b3o2bobo2b3o$12b2obob2o33b2obob
2o$8bob2obobobob2obo25bob2obobobob2obo$8bo3b2o3b2o3bo25bo3b2o3b2o3bo$
8bo4bo3bo4bo25bo4bo3bo4bo$10bo2b5o2bo29bo2b5o2bo$8bo3b2obob2o3bo25bo3b
2obob2o3bo$8b4ob2ob2ob4o25b4ob2ob2ob4o$7bo3bo7bo3bo23bo3bo7bo3bo$2b2o
2b2obob2o5b2obob2o2b2o13b2o2b2obob2o5b2obob2o2b2o$2bo2bo4bobo5bobo4bo
2bo13bo2bo4bobo5bobo4bo2bo$3b3o4bob2o3b2obo4b3o15b3o4bob2o3b2obo4b3o$
7bobo3b5o3bobo23bobo3b5o3bobo$b7o6b3o6b7o11b7o6b3o6b7o$bo5b2o2bo7bo2b
2o5bo11bo5b2o2bo7bo2b2o5bo$4bo4bobob5obobo4bo17bo4bobob5obobo4bo$4b4ob
o11bob4o17b4obo11bob4o$7bobo3bobobo3bobo23bobo3bobobo3bobo$2b4o2b2o2b
2obob2o2b2o2b4o13b4o2b2o2b2obob2o2b2o2b4o$bo4bo3b3o5b3o3bo4bo11bo4bo3b
3o5b3o3bo4bo$2bobo3b2o2bo5bo2b2o3bobo13bobo3b2o2bo5bo2b2o3bobo$b2ob8o
7b8ob2o11b2ob8o7b8ob2o$bo8bo4bo4bo8bo11bo8bo4bo4bo8bo$2b5o3bo3bobo3bo
3b5o13b5o3bo3bobo3bo3b5o$5bo4b2o7b2o4bo19bo4b2o7b2o4bo$2b2o3bo4b2o3b2o
4bo3b2o13b2o3bo4b2o3b2o4bo3b2o$2bo3bobo2bob5obo2bobo3bo13bo3bobo2bob5o
bo2bobo3bo$3bo4bobo9bobo4bo15bo4bobo9bobo4bo$2b2o4bobobobobobobobo4b2o
13b2o4bobobobobobobobo4b2o$7b2ob3obobob3ob2o23b2ob3obobob3ob2o$11bobob
obobo31bobobobobo$7bo2b2obobobob2o2bo23bo2b2obobobob2o2bo$6bo2bob2obob
ob2obo2bo21bo2bob2obobob2obo2bo$8b2o4bobo4b2o25b2o4bobo4b2o$8b2obo2bob
o2bob2o25b2obo2bobo2bob2o$8b2o2bobobobo2b2o25b2o2bobobobo2b2o$b2o8b2ob
obob2o8b2o11b2o8b2obobob2o8b2o$bo2bob2obob2obobob2obob2obo2bo11bo2bob
2obob2obobob2obob2obo2bo$2b4o3bo3b2ob2o3bo3b4o13b4o3bo3b2ob2o3bo3b4o$
10bo3bobo3bo29bo3bobo3bo$4b3o2b4obobob4o2b3o17b3o2b4obobob4o2b3o$2obo
3bo6bobo6bo3bob2o12bo3bo6bobo6bo3bo$2ob4o4bo3bo3bo4b4ob2o12b4o4bo3bo3b
o4b4o$6b3o4bobobo4b3o21b3o4bobobo4b3o$2ob2obo5bobobobo5bob2ob2o12b2obo
5bobobobo5bob2o$bobo3bo6bobo6bo3bobo13bo3bo6bobo6bo3bo$o3bob2o3b4ob4o
3b2obo3bo8b2o3bob2o3b4ob4o3b2obo3b2o$b2obo2bob2o9b2obo2bob2o9bo2bobo2b
ob2o9b2obo2bobo2bo$2bo2b4obo9bob4o2bo12b2o2b4obo9bob4o2b2o$obo4bobo11b
obo4bobo11bo4bobo11bobo4bo$2o5b2obo9bob2o5b2o9bo6b2obo9bob2o6bo$6bo3b
2ob2ob2ob2o3bo15b2o4bo3b2ob2ob2ob2o3bo4b2o$11bo2bobo2bo31bo2bobo2bo$4b
3o2b2o3bobo3b2o2b3o17b3o2b2o3bobo3b2o2b3o$3bo3bo5b2ob2o5bo3bo15bo3bo5b
2ob2o5bo3bo$3bo2b3o5bobo5b3o2bo15bo2b3o5bobo5b3o2bo$2b2obo4b3obobob3o
4bob2o13b2obo4b3obobob3o4bob2o$5bo4bo9bo4bo19bo4bo9bo4bo$5b2obobo3bobo
3bobob2o19b2obobo3bobo3bobob2o$3bobo2bobo3bobo3bobo2bobo15bobo2bobo3bo
bo3bobo2bobo$3b2o2b2ob3obobob3ob2o2b2o15b2o2b2ob3obobob3ob2o2b2o$10b2o
7b2o29b2o7b2o$6bob2obo7bob2obo21bob2obo7bob2obo$6b2ob2obobobobob2ob2o
21b2ob2obobobobob2ob2o$10bobo5bobo29bobo5bobo$10bo9bo29bo9bo$13bo3bo
35bo3bo$12b2o3b2o33b2o3b2o$9b2obo5bob2o27b2obo5bob2o$9b2ob2o3b2ob2o27b
2ob2o3b2ob2o$7bo2bobo5bobo2bo23bo2bobo5bobo2bo$7b2obob3ob3obob2o23b2ob
ob3ob3obob2o$8bob2o7b2obo25bob2o7b2obo$8bobob2obob2obobo25bobob2obob2o
bobo$7b2obob3ob3obob2o23b2obob3ob3obob2o$6bo3b2o3bo3b2o3bo21bo3b2o3bo
3b2o3bo$6b2obo11bob2o21b2obo11bob2o$7bob4o5b4obo23bob4o5b4obo$7bo2bob
7obo2bo23bo2bob7obo2bo$6b2o3bo7bo3b2o21b2o3bo7bo3b2o$5bo2b6o3b6o2bo19b
o2b6o3b6o2bo$5b2obobo2bo3bo2bobob2o19b2obobo2bo3bo2bobob2o$8bo3bo5bo3b
o25bo3bo5bo3bo$8b2o4bobo4b2o25b2o4bobo4b2o$5b2obob2o7b2obob2o19b2obob
2o7b2obob2o$4bobo4b3obob3o4bobo17bobo4b3obob3o4bobo$4bo2bob2o9b2obo2bo
17bo2bob2o9b2obo2bo$5bobob4o5b4obobo19bobob4o5b4obobo$6b2o4bobobobo4b
2o21b2o4bobobobo4b2o$9bo2b2o3b2o2bo27bo2b2o3b2o2bo$6b3o2bo2bobo2bo2b3o
21b3o2bo2bobo2bo2b3o$6bo4b4ob4o4bo21bo4b4ob4o4bo$7b5o3bo3b5o23b5o3bo3b
5o$10bob2obob2obo29bob2obob2obo$7b2o6bo6b2o23b2o6bo6b2o$6bobob2o3bo3b
2obobo21bobob2o3bo3b2obobo$6bo4bo7bo4bo21bo4bo7bo4bo$5b2o17b2o19b2o17b
2o$6bob2o2b3ob3o2b2obo21bob2o2b3ob3o2b2obo$4bo3bo3b2o3b2o3bo3bo17bo3bo
3b2o3b2o3bo3bo$4b4o2bo9bo2b4o17b4o2bo9bo2b4o$8b3o9b3o25b3o9b3o$4b2obo
3b2ob3ob2o3bob2o17b2obo3b2ob3ob2o3bob2o$4b2obo2b2ob2ob2ob2o2bob2o17b2o
bo2b2ob2ob2ob2o2bob2o$7bo4bobobobo4bo23bo4bobobobo4bo$4b2o2b2o3bo3bo3b
2o2b2o17b2o2b2o3bo3bo3b2o2b2o$4bob2o5bobobo5b2obo17bob2o5bobobo5b2obo$
8b4o3bo3b4o25b4o3bo3b4o$8bo13bo25bo13bo$5b2obob5ob5obob2o19b2obob5ob5o
bob2o$5bob2o2b2o5b2o2b2obo19bob2o2b2o5b2o2b2obo$9bobo2b3o2bobo27bobo2b
3o2bobo$6b2obobobobobobobob2o21b2obobobobobobobob2o$6bo2b2o9b2o2bo21bo
2b2o9b2o2bo$7b2o4b2ob2o4b2o23b2o4b2ob2o4b2o$9b2o9b2o27b2o9b2o$9bob2o5b
2obo27bob2o5b2obo$6b2obo11bob2o21b2obo11bob2o$7bobobobo3bobobobo23bobo
bobo3bobobobo$7bobo3bo3bo3bobo23bobo3bo3bo3bobo$8bob3o5b3obo25bob3o5b
3obo$10bo3b3o3bo29bo3b3o3bo$10bob7obo29bob7obo$11b2obobob2o31b2obobob
2o2$14bobo37bobo$8b2o2b2o3b2o2b2o25b2o2b2o3b2o2b2o$8bo2bo7bo2bo25bo2bo
7bo2bo$10b2obobobob2o29b2obobobob2o$11bobo3bobo31bobo3bobo$10bo2bobobo
2bo29bo2bobobo2bo$10b2o2bobo2b2o29b2o2bobo2b2o$15bo39bo!

[JP21]

Code: Select all

x = 32, y = 136, rule = B3/S23
15bo$14bobo3$9b3o2bobo2b3o$12b2obob2o$8bob2obobobob2obo$8bo3b2o3b2o3bo
$8bo4bo3bo4bo$10bo2b5o2bo$8bo3b2obob2o3bo$8b4ob2ob2ob4o$7bo3bo7bo3bo$
2b2o2b2obob2o5b2obob2o2b2o$2bo2bo4bobo5bobo4bo2bo$3b3o4bob2o3b2obo4b3o
$7bobo3b5o3bobo$b7o6b3o6b7o$bo5b2o2bo7bo2b2o5bo$4bo4bobob5obobo4bo$4b
4obo11bob4o$7bobo3bobobo3bobo5bo$2b4o2b2o2b2obob2o2b2o2b5o$bo4bo3b3o5b
3o3bo$2bobo3b2o2bo5bo2b2o3bob4o$b2ob8o7b8obo2bo$bo8bo4bo4bo$2b5o3bo3bo
bo3bo3b4o$5bo4b2o7b2o4bo2bo$2b2o3bo4b2o3b2o4bo3b2o$2bo3bobo2bob5obo2bo
bo$3bo4bobo9bobo$2b2o4bobobobobobobobo$7b2ob3obobob3ob2o$11bobobobobo$
7bo2b2obobobob2o2bo$6bo2bob2obobob2obo2bo$8b2o4bobo4b2o$8b2obo2bobo2bo
b2o$8b2o2bobobobo2b2o$b2o8b2obobob2o8b2o$bo2bob2obob2obobob2obob2obo2b
o$2b4o3bo3b2ob2o3bo3b4o$10bo3bobo3bo$4b3o2b4obobob4o2b3o$3bo3bo6bobo6b
o3bo$3b4o4bo3bo3bo4b4o$b2o3b3o4bobobo4b3o3b2o$o2b2obo5bobobobo5bob2o2b
o$bobo3bo6bobo6bo3bobo$2o2bob2o3b4ob4o3b2obo2b2o$2bobo2bob2o9b2obo2bob
o$2bo2b4obo9bob4o2bo$b2o4bobo11bobo4b2o$7b2obo9bob2o$6bo3b2ob2ob2ob2o
3bo$11bo2bobo2bo$4b3o2b2o3bobo3b2o2b3o$3bo3bo5b2ob2o5bo3bo$3bo2b3o5bob
o5b3o2bo$2b2obo4b3obobob3o4bob2o$5bo4bo9bo4bo$5b2obobo3bobo3bobob2o$3b
obo2bobo3bobo3bobo2bobo$3b2o2b2ob3obobob3ob2o2b2o$10b2o7b2o$6bob2obo7b
ob2obo$6b2ob2obobobobob2ob2o$10bobo5bobo$10bo9bo$13bo3bo$12b2o3b2o$9b
2obo5bob2o$9b2ob2o3b2ob2o$7bo2bobo5bobo2bo$7b2obob3ob3obob2o$8bob2o7b
2obo$8bobob2obob2obobo$7b2obob3ob3obob2o$6bo3b2o3bo3b2o3bo$6b2obo11bob
2o$7bob4o5b4obo$7bo2bob7obo2bo$6b2o3bo7bo3b2o$8b6o3b6o$8bobo2bo3bo2bob
o$5b2obo3bo5bo3bob2o$6bob2o4bobo4b2obo$6bobob2o7b2obobo$5b2o4b3obob3o
4b2o$7bob2o9b2obo$7bob4o5b4obo$6b2o4bobobobo4b2o$9bo2b2o3b2o2bo$6b3o2b
o2bobo2bo2b3o$6bo4b4ob4o4bo$7b5o3bo3b5o$10bob2obob2obo$7b2o6bo6b2o$6bo
bob2o3bo3b2obobo$6bo4bo7bo4bo$5b2o17b2o$6bob2o2b3ob3o2b2obo$5bo2bo3b2o
3b2o3bo2bo$5b3o2bo9bo2b3o$8b3o9b3o$7bo3b2ob3ob2o3bo$3b2o2bo2b2ob2ob2ob
2o2bo2b2o$3bobobo4bobobobo4bobobo$5bo2b2o3bo3bo3b2o2bo$5b3o5bobobo5b3o
$8b4o3bo3b4o$5b2obo13bob2o$6bobob5ob5obobo$6bobo2b2o5b2o2bobo$7bobobo
2b3o2bobobo$9bobobobobobobo$9b2o9b2o$7b2o4b2ob2o4b2o$6bo2b2o9b2o2bo$6b
2obob2o5b2obob2o$9bo11bo$9bobobo3bobobo$7bobo3bo3bo3bobo$7b2ob3o5b3ob
2o$10bo3b3o3bo$10bob7obo$11b2obobob2o2$14bobo$8b2o2b2o3b2o2b2o$8bo2bo
7bo2bo$10b2obobobob2o$11bobo3bobo$11bobobobo2bo$12b2ob2o2b2o!

[Extrementhusiast]

I've already lost one solution to this; posting this now so I don't lose another:

Code: Select all

x = 234, y = 42, rule = B3/S23
108b2o$108b2o2$106b6o$106bo3bobo$92b2o9bo4bo2b2o$93bo9b7o2bob2o$93bob
2o2b2o8bo2bobo22b2o$92b2obo2bobo2b2o2b2ob3obo20bo2bo2b2ob2obo2b2o5bo7b
2o$92bo2bob2o2b3o2bo6bob2o18b2o5bobob2o2bo4b5obo4bo34b2o$94b2o2bo6b2o
4bobobo17b2o2b5o2bo6bo2bo5b2o2bo13b2o21b2o5b2o$51b2o37b4o2bo6b2o2b2obo
b2obo7b2o4bo2bo2bo5bobob6obo2bob2o3b4o12bo2bo3b2o22bo3bo8bo$51b2o31bo
4bo3bobob4obobo2bob2o5b2o4bo2bo3b4obo3b2o3bo3bo4b2obobob3o4bo12b3o3bo
15b4ob3o3bobo3bo2bobo$59b2o23b3o2bo2bo2bo4bobo9b4o2bo3bobobo7b2obo4b2o
b2o2bo2bo2bobo4bo2b2o6b2o7b2obo14bo3bobo4bo2bo3b4obo$39b2o8b3obobo3bo
27bobo2b2obo2bobobo7bo5b2o3b2obobo2b5o2bo3bo2bo3bo2b2o2bo4bobo4b2o4bo
2bob5o2bob2o10b3o2bo2bo4b2obob2o6b2o$20b2o16bob3o5bo2bob2obo3b3o9b2o
12bo2bobob2o3b5o9b2obo5bo2bobobo5b3obobo3bob6o4b2obobo5b2obo2bobobo4bo
bo3bobo3b2ob4o4b3o3b2o2bo2b6o2bo$21bo5b2o4b2o3bo4bob2o2bo6b4o3bo9bo2b
2o8bobob2o2bob2o5b2o7b4o5b3obobobob2obo3b2o2bobo4bo3bo3bo3bo5bo3b2o2bo
bobob2ob2o2bob2o2b2o3bobob2o2bo9bo7b2o$21bob2obobo4bo2bobob2obobob2ob
6o4bo2bo3b2ob3o4bo2b2ob2obobo5b2obob2o2b2o3bo14bo2bo2b4o5b2obob2o7bo3b
o6b4o2bo4bob2o3b2ob2o2bo3bobo2b2o4b2o3bo2b3o3bobobo$20b2o2bobobob2obob
2o2bobobobo2bo4bo3b3obob2o3bobo6bobobobobo3bo5bobo2bobobob3o3bo10bobob
2o3bobo3bo3bobo4b4o3b2o3b2o4bob2ob2o2b2o5b3o2bobo3b2o2b2o3b2o2b2o2b3o
2b2o3b2o4b3o$6b2o11bo3bo2bobo2bo2bo2bobo3bob2o2bo2bob2o3bobo6bo7b2obo
5bob2o4bobo2bo7b2obobobo9bo2bobo4b2o3b5obob7o7b3ob3o5b2o3bo5b3ob2ob2o
4b3o2b3obo3b3o2bob2o4bo4bo$ob2obobo9b3ob3obo2b2obo3b3obo3bobobo5bo3b2o
bo6b2o3bobo2bob2o3b2obo3b3ob3o9bobo3bo2b2o3bo2bob2o4bo10bo2bobo8b4o6b
2o2b3o2b2o4b2o3b2ob2ob2o3bo2b2obob3o4bo3bo10bobob2o$2obobo10bo3bo4b3ob
ob2o2bo3b2ob2ob2o3b2o4b2o2b3o2b2o6b4o8bobo2bo10bo4b2obo2bo4b2obo3bobo
9b3ob3o3bob2o3b2obo2bobo3b2o6bob2o3bo5bobobo3bob3o3bob2o2bob3ob3o9bobo
b2obo$6bo4bo4b2obo2b3o3bob3o2b3o4b2ob2ob3o5bo3b2o5b3ob3o7b7obob5o3b2o
4bobo2bo5bo3bobobob2o7bo2bobo4b2obo5bob2o7bo6bobo3b2obo2bo2b2obo3bobo
2bo2bo2bobo2bo3bo11b2o$4b3o4b2o3b2o2b3o2b2o2b2o3b2o2b2o3bobo2b3o5b2o2b
2ob2obo4b2o3b2o3b4o4bobo3bo3bobo3b2obobo10bo3b3obobobo2bobo5bo3bobobob
obo6bobo3b2obob3o3bo4bo2bobobobo2b2obob2obobobo2b2o$12bobobo3b3o2bo3b
2o4b2o2bobo3bo2b2ob2o3b2obo4bo2b4o6bo3bo7b2obob2o5b4o2bo2bo14bo3b2o2b
2obob2o5bobob2ob2o2bo4b3ob2o3bo2bo4b6ob2obobob2obobo2bo4bobob2obo$7b2o
7bo9bo2b2obobo3b2o2b2obo2b2ob2obobobo2b2o3bo5bo3bo3bo3bo4bobo2b2o3bob
2obobobob3o5b4o7b2o5b2obo2b2obobo8b2o2bo9bo3b4o6bo2b2obo4bo3b2o4b2o5bo
$7bo2b6o2bo2b2o3b3o4b4ob2o3bobo3bobo4bobobo2bob2o5bobob2o4b6obo3bobob
3o5bobobo2bo5bob2o9b5o3b2obobo2bo12b2o9b3o3bob2obo2bo5b3obo16b2o$8b2o
6b2obob2o4bo2bo2b3o10b2obo2b5obo2bo4b2o4bobo4bo2b2o2bo3bo2bo3bo2b5o2bo
bob2o3b2o5bo7bobobo2bob2o2bobo27bo3bobob3o8b2o$10bob4o3bo2bo4bobo3bo
14bob2o7b2o6b2o2bo4bobo2bo2bo2b2ob2o4bob2o7bobobo3bo2b4o9bobo4bo2bo2bo
2b3o23b2o$10bobo2bo3bobo3b3ob4o15bo3b3o12bo4b3obobob2o4bo3bo3b2o3bob4o
3bo2bo4b2o5b2obo2bobob4obobo3bo4bo31b2o$11bo8bo3bo22b2o3bo2bo12b4o3b2o
bo2bob6obobo5bo2bo2bo4b2o7bob2obob2o2b2o6bo2b4o37b2o$24b2o5b2o21b2o13b
o2b2o5bo2bo6bo2b5o2b2o17bobobo4b2o6bo2b2o$31b2o34bo4bob5o4bo2b2obobo5b
2o18b2obo6bo2b3o2b2obo2bo$67b2o7bo5b2o2bob2ob2o2bo2bo20bob3ob2o2b2o2bo
bo2bob2o$95b2o22bobo2bo8b2o2b2obo$118b2obo2b7o9bo$121b2o2bo4bo9b2o$
121bobo3bo$122b6o2$124b2o$124b2o!

[Entity Valkyrie 2]

Is that a P10 glider shuttle I see?

[MathAndCode]

Is that a P10 glider shuttle I see?

Yes, and it can be extended.

Code: Select all

x = 239, y = 37, rule = B3/S23
108b2o$108b2o$142b2o$106b6o28bo2bo2b2ob2obo2b2o5bo7b2o$106bo3bobo27b2o
5bobob2o2bo4b5obo4bo34b2o$92b2o9bo4bo2b2o25b2o2b5o2bo6bo2bo5b2o2bo13b
2o21b2o5b2o$93bo9b7o2bob2o12b2o4bo2bo2bo5bobob6obo2bob2o3b4o12bo2bo3b
2o22bo3bo8bo$93bob2o2b2o8bo2bobo12bo2bo3b4obo3b2o3bo3bo4b2obobob3o4bo
12b3o3bo15b4ob3o3bobo3bo2bobo$92b2obo2bobo2b2o2b2ob3obo12bobobo7b2obo
4b2ob2o2bo2bo2bobo4bo2b2o6b2o7b2obo14bo3bobo4bo2bo3b4obo$92bo2bob2o2b
3o2bo6bob2o9b2obobo2b5o2bo3bo2bo3bo2b2o2bo4bobo4b2o4bo2bob5o2bob2o10b
3o2bo2bo4b2obob2o6b2o$94b2o2bo6b2o4bobobo10bo2bobobo5b3obobo3bob6o4b2o
bobo5b2obo2bobobo4bobo3bobo3b2ob4o4b3o3b2o2bo2b6o2bo$51b2o37b4o2bo6b2o
2b2obob2obo10b3obobobob2obo3b2o2bobo4bo3bo3bo3bo5bo3b2o2bobobob2ob2o2b
ob2o2b2o3bobob2o2bo9bo7b2o$51b2o31bo4bo3bobob4obobo2bob2o5b2o10bo2bo2b
4o5b2obob2o7bo3bo6b4o2bo4bob2o3b2ob2o2bo3bobo2b2o4b2o3bo2b3o3bobobo$59b
2o23b3o2bo2bo2bo4bobo9b4o2bo9bobob2o3bobo3bo3bobo4b4o3b2o3b2o4bob2ob2o
2b2o5b3o2bobo3b2o2b2o3b2o2b2o2b3o2b2o3b2o4b3o$39b2o8b3obobo3bo27bobo2b
2obo2bobobo7bo5b2o10bo2bobo4b2o3b5obob7o7b3ob3o5b2o3bo5b3ob2ob2o4b3o2b
3obo3b3o2bob2o4bo4bo$20b2o16bob3o5bo2bob2obo3b3o9b2o12bo2bobob2o3b5o9b
2obo5b2o3bo2bob2o4bo10bo2bobo8b4o6b2o2b3o2b2o4b2o3b2ob2ob2o3bo2b2obob
3o4bo3bo10bobob2o$21bo5b2o4b2o3bo4bob2o2bo6b4o3bo9bo2b2o8bobob2o2bob2o
5b2o7b4o6b2obo3bobo9b3ob3o3bob2o3b2obo2bobo3b2o6bob2o3bo5bobobo3bob3o
3bob2o2bob3ob3o9bobob2obo$21bob2obobo4bo2bobob2obobob2ob6o4bo2bo3b2ob
3o4bo2b2ob2obobo5b2obob2o2b2o3bo12bo3bobobob2o7bo2bobo4b2obo5bob2o7bo
6bobo3b2obo2bo2b2obo3bobo2bo2bo2bobo2bo3bo11b2o$20b2o2bobobob2obob2o2b
obobobo2bo4bo3b3obob2o3bobo6bobobobobo3bo5bobo2bobobob3o3bo13bo3b3obo
bobo2bobo5bo3bobobobobo6bobo3b2obob3o3bo4bo2bobobobo2b2obob2obobobo2b
2o$6b2o11bo3bo2bobo2bo2bo2bobo3bob2o2bo2bob2o3bobo6bo7b2obo5bob2o4bob
o2bo7b2obobobo16bo3b2o2b2obob2o5bobob2ob2o2bo4b3ob2o3bo2bo4b6ob2obobo
b2obobo2bo4bobob2obo$ob2obobo9b3ob3obo2b2obo3b3obo3bobobo5bo3b2obo6b2o
3bobo2bob2o3b2obo3b3ob3o9bobo3bo9b4o7b2o5b2obo2b2obobo8b2o2bo9bo3b4o6b
o2b2obo4bo3b2o4b2o5bo$2obobo10bo3bo4b3obob2o2bo3b2ob2ob2o3b2o4b2o2b3o
2b2o6b4o8bobo2bo10bo4b2obo2bo10bob2o9b5o3b2obobo2bo12b2o9b3o3bob2obo2b
o5b3obo16b2o$6bo4bo4b2obo2b3o3bob3o2b3o4b2ob2ob3o5bo3b2o5b3ob3o7b7obo
b5o3b2o4bobo2bo10b2o5bo7bobobo2bob2o2bobo27bo3bobob3o8b2o$4b3o4b2o3b2o
2b3o2b2o2b2o3b2o2b2o3bobo2b3o5b2o2b2ob2obo4b2o3b2o3b4o4bobo3bo3bobo3b
2obobo9bo2b4o9bobo4bo2bo2bo2b3o23b2o$12bobobo3b3o2bo3b2o4b2o2bobo3bo2b
2ob2o3b2obo4bo2b4o6bo3bo7b2obob2o5b4o2bo2bo10b2o5b2obo2bobob4obobo3bo
4bo31b2o$7b2o7bo9bo2b2obobo3b2o2b2obo2b2ob2obobobo2b2o3bo5bo3bo3bo3bo
4bobo2b2o3bob2obobobob3o10bob2obob2o2b2o6bo2b4o37b2o$7bo2b6o2bo2b2o3b
3o4b4ob2o3bobo3bobo4bobobo2bob2o5bobob2o4b6obo3bobob3o5bobobo2bo10bob
obo4b2o6bo2b2o$8b2o6b2obob2o4bo2bo2b3o10b2obo2b5obo2bo4b2o4bobo4bo2b2o
2bo3bo2bo3bo2b5o2bobob2o9b2obo6bo2b3o2b2obo2bo$10bob4o3bo2bo4bobo3bo14b
ob2o7b2o6b2o2bo4bobo2bo2bo2b2ob2o4bob2o7bobobo12bob3ob2o2b2o2bobo2bob
2o$10bobo2bo3bobo3b3ob4o15bo3b3o12bo4b3obobob2o4bo3bo3b2o3bob4o3bo2bo
12bobo2bo8b2o2b2obo$11bo8bo3bo22b2o3bo2bo12b4o3b2obo2bob6obobo5bo2bo2b
o4b2o12b2obo2b7o9bo$24b2o5b2o21b2o13bo2b2o5bo2bo6bo2b5o2b2o25b2o2bo4b
o9b2o$31b2o34bo4bob5o4bo2b2obobo5b2o27bobo3bo$67b2o7bo5b2o2bob2ob2o2b
o2bo28b6o$95b2o$129b2o$129b2o!