Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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PHPBB12345
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PHPBB12345 » February 8th, 2023, 11:40 pm

7c/1125 diagonal puffer:

Code: Select all

x = 57, y = 50, rule = B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e
21bo6bo6bo7$14bo27bo6bo7$7bo6bo6bo6bo6bo13bo7$7bo6bo6bo6bo13bo6bo6bo7$
28bo13bo13bo5$6b2o$5bo$o4bo29bo6bo13bo$5b3o2$9b2o2$9bo2$o20bo6bo6bo6bo
6bo7$7bo6bo20bo6bo!
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breaker's glider gun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by breaker's glider gun » February 8th, 2023, 11:42 pm

PHPBB12345 wrote: ↑
February 8th, 2023, 11:40 pm
 7c/1125 diagonal puffer:

Code: Select all

x = 57, y = 50, rule = B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e
21bo6bo6bo7$14bo27bo6bo7$7bo6bo6bo6bo6bo13bo7$7bo6bo6bo6bo13bo6bo6bo7$
28bo13bo13bo5$6b2o$5bo$o4bo29bo6bo13bo$5b3o2$9b2o2$9bo2$o20bo6bo6bo6bo
6bo7$7bo6bo20bo6bo!
AKA Langton's ant.
:?: :?: . . . :!:
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NimbleRogue
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NimbleRogue » February 9th, 2023, 1:07 am

Big Glider

Code: Select all

x = 4, y = 4, rule = B2e3aiy4cz6cin/S023-cekr4ce
b3o$o2bo$3bo$3bo!
Here's an interesting variant of Traffic Jam

Code: Select all

x = 173, y = 123, rule = B2ei3ai4nw6ci/S23-ceik4w5j6a
30$50bo$49bobo$49bo3bo$46bo5b2o50bo$47bo55bobo$102bo3bo$77b3o19bo2bo3b
o$77b3o19bobo$53b2o44bobo$47b2o4b2o14b2ob2o26bo$47b2o20b2ob2o14$110b2o
2b2o$68b2o12b2o2bo2b2o19b2o2b2o$47bo19bo2bo11b2obobob2o$46bobo19b2o15b
obo20b2o6b2o39b2o$47bo38bo21b2o2b2o2b2o39b2o$111bo2bo37bob2o$112b2o38b
2obo5b2o$156b3o2b2o$108b2o6b2o35b2o$108b2o6b2o35b2o6$67b2o$67b2o$70b2o
$47bo21bo2bo$48bo21b2o$44b2ob2o3b2o$44b2o6b2o$71b2o$49b2o20b2o68b2o$
49b2o90bo2b2o$125b2o15bob2o$125b2o$138b2o$125bo12b2o$120b2o2b2o$120b2o
2bo4$127b2o$127b2o!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid » February 9th, 2023, 2:32 am

rutabaga wrote: ↑
February 8th, 2023, 2:49 pm
 It seems like I'm the first or second to find this p12? Because there are no sample soups in the catalogue thingy
https://catagolue.hatsya.com/object/xp1 ... s23ace4ace

Code: Select all

 x = 14, y = 13, rule = B34c5/S23ace4ace
3$6b2o$4bo4bo$4bo4bo$4bo4bo$4bo4bo$6b2o!
Even though there are no sample soups in this particular rule, the Catagolue page says that the oscillator works in "multiple rules, from b3aijqs2aik3a4a through to b2cin34-aw56-k78s0234-nqr56-ac78". In particular, it works identically in b3s234a, a rule one transition away from Life. There is a sample soup for this oscillator in b3s234a/D8_1 (page), with the following attribute line:

Code: Select all

Soup k_viYZ8Qn5h6NE4202 was found on 2022-11-23 at 08:55:21 UTC and is owned by Yujh
In other words, this oscillator was found at least several months ago (possibly much earlier).
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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rutabaga
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rutabaga » February 9th, 2023, 6:57 am

confocaloid wrote: ↑
February 9th, 2023, 2:32 am
 ...In particular, it works identically in b3s234a, a rule one transition away from Life...
oh ok. i meant that i found it in the specific version first, but if it works in a range of rules then welp, enjoy this rake that i don't know how to search because it says invalid rule

Code: Select all

x = 9, y = 12, rule = 6/2/4
2A5.2A$2B5.2B$2CA3.A2C$2.B3.B$.AC2A.CA$.B2.2B.B$.C.2C2AC$2.2B$2.2A.2C
$6.B$2.3C$2.B!

Code: Select all

x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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affamatodidio
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by affamatodidio » February 9th, 2023, 10:59 am

Wacky c/3d eater:

Code: Select all

x = 8, y = 8, rule = B2en3-aen5c/S1c2-cn3-nq4cnq5cnq6n
5bobo$5b2o$5b3o4$2o$2o!


Different rule, with (4,4)c/290 puffer

Code: Select all

x = 13, y = 13, rule = B2en3-aen4a5ck/S1c2-cn3-nq4cnqz5cnq6cn7c8
10bobo$10b2o$10b3o9$2o$2o!

even more different rule, c/3 and p3 (c/3 + 1 cell)

Code: Select all

x = 11, y = 4, rule = B35i/S23-i5ei7e
9bo$obo5bobo$3o5b3o$3o5b3o!
Oh, and also, I'll leave you with this

Code: Select all

x = 23, y = 6, rule = 1c2-c3ackqr4aiqrw5ciq6-ci8/1e2ek3a4aeitz5a6ik7e8/3|2-i3acikq4eiqrz5aiq6ack78/2e3aejkr4ai8/3
4.2A13.4A$4.2A13.4A3$BA13.BA$.B14.B!
A rule with a c/2d, a splitter for said c/2d, and basically everything needed for a construction arm.
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » February 10th, 2023, 3:16 am

First known odd-period oscillator in Holstein. The absence of still lifes in this rule makes it straightforward to find prime-period oscillators using rlifesrc.

Code: Select all

x = 10, y = 14, rule = B35678/S4678
4b2o$3b4o$2b6o$2b6o$10o$2b2o2b2o$4b2o$4b2o$2b2o2b2o$10o$2b6o$2b6o$3b4o
$4b2o!
EDIT: p5 oscillator with unusual quasi-symmetry, comprising two equivalent but phase-staggered lobes joined at an asymmetric core.

Code: Select all

x = 58, y = 11, rule = B35678/S4678
21b2o5bo25b2o$3b2o16b2o5b2obo4b2o16b2o$2b5o10b2ob4o2b6o3b5o10b2ob4o$2b
8o6bo3b4o2b6o3b8o6bo3b3obo$7ob3ob13ob8o2b4ob3ob13o$ob9o3b9o2b8ob10o3b
11o$7ob3ob13ob8o2b4ob3ob13o$2b8o6bo3b4o2b6o3b8o6bo3b3obo$2b5o10b2ob4o
2b6o3b5o10b2ob4o$3b2o16b2o5b2obo4b2o16b2o$21b2o5bo25b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » February 10th, 2023, 7:24 am

Pseudo Pulsar Sequence

Code: Select all

x = 3, y = 7, rule = B3-c5y/S23-ck4n5ky
3o$bo4$bo$3o!
Edit: 1 translation from this rule has an another oscillator by 2 TLs

Code: Select all

x = 18, y = 9, rule = B3-cq5y/S23-ck4n5ky
15b3o$3o12bobo$obo12b3o$3o3$3o12b3o$obo12bobo$3o12b3o!
sorry I can only speak Japanese, English is made by machine translation
I'm a fan of methuselahs
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » February 10th, 2023, 12:21 pm

LaundryPizza03 wrote: ↑
February 10th, 2023, 3:16 am
 First known odd-period oscillator in Holstein. The absence of still lifes in this rule makes it straightforward to find prime-period oscillators using rlifesrc.

Code: Select all

x = 10, y = 14, rule = B35678/S4678
4b2o$3b4o$2b6o$2b6o$10o$2b2o2b2o$4b2o$4b2o$2b2o2b2o$10o$2b6o$2b6o$3b4o
$4b2o!
EDIT: p5 oscillator with unusual quasi-symmetry, comprising two equivalent but phase-staggered lobes joined at an asymmetric core.

Code: Select all

x = 58, y = 11, rule = B35678/S4678
21b2o5bo25b2o$3b2o16b2o5b2obo4b2o16b2o$2b5o10b2ob4o2b6o3b5o10b2ob4o$2b
8o6bo3b4o2b6o3b8o6bo3b3obo$7ob3ob13ob8o2b4ob3ob13o$ob9o3b9o2b8ob10o3b
11o$7ob3ob13ob8o2b4ob3ob13o$2b8o6bo3b4o2b6o3b8o6bo3b3obo$2b5o10b2ob4o
2b6o3b5o10b2ob4o$3b2o16b2o5b2obo4b2o16b2o$21b2o5bo25b2o!
Smaller p5:

Code: Select all

x = 27, y = 9, rule = B35678/S4678
3b3o16b2o$3b5obo10b5o$2b6ob3o2b2ob8o$3b10o2b4ob7o$11obob11obo$3b10o2b
4ob7o$2b6ob3o2b2ob8o$3b5obo10b5o$3b3o16b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » February 11th, 2023, 6:46 am

(3,15)c/66 Puffer

Code: Select all

x = 4, y = 3, rule = B34ey6i/S23-c4t
2o$bobo$2b2o!
Breeder

Code: Select all

x = 19, y = 4, rule = B34ey6i/S23-c4t
16bo$2o13bobo$bobo11bo2bo$2b2o12b3o!
P54

Code: Select all

x = 4, y = 4, rule = B34ey6i/S234t
2b2o$o2bo$3o$bo!
(4,16)c/62 Rake & Coderized

Code: Select all

x = 141, y = 49, rule = B34cjky/S23
121b3o2$119bo4b3o$119bo4b3o$119bo5bo2b2o$129b2o$49b3o69b3o3bobo$127b2o
$47bo4b3o84bo$47bo4b3o$47bo5bo2b2o81b2o$57b2o80bo$49b3o3bobo80bo$55b2o
$67bo$93bo$67b2o22b2o$67bo24b2o$66bo$109b2o$108bob2o$108bo3b2o$108bo5b
o$108bo$112bobo$120b3o$119bo3bo$34b2o83bo3bo$34b2o83bo3bo$120b3o$130bo
bo2bo$50b2o23b2o55bo2b2o$50b2o23b2o51b2o3bo2b2o$128bo2b2o2b2o$128bo$
66b2o23b2o$2b3o61b2o23b2o2$o4b3o88bo4b3o$o4b3o74b2o12bo4b3o$o5bo2b2o
71b2o12bo5bo2b2o$10b2o94b2o$2b3o3bobo87b3o3bobo$8b2o94b2o$20bo95bo2$
20b2o94b2o$20bo95bo$19bo95bo!
32c/64

Code: Select all

x = 108, y = 19, rule = B34cjk/S23
93b2o$93b2o2$90bo$90bo$89bobo9bo5bo$60bo29bo10bo5bo$36b3o22b2o5b3o13b
2o4bo$2bo3bo11bo42b2o21b2o$2o4b2o9bobo41b2o$o6bo9b2o34b2o5b2o29b2o$obo
2bo2bo44b2o5bo30b2o$b2o3b3o2$23b3o$24bo$24b2o$25bo$25bo!
P41 & P108

Code: Select all

x = 32, y = 12, rule = B34cjky5y/S23
6b3o$5bo2bo$5bo2bo$5b3ob3o$8bo2bo$b3o4bo2bo$o2bo4b3o$o2bo26bo$3ob3o23b
o$3bo2bo23bo$3bo2bo24bo$3b3o24b2o!
2c/40d

Code: Select all

x = 10, y = 4, rule = B34cjy/S23
b2o$obo$o6b2o$3o3bob2o!
c/19d

Code: Select all

x = 4, y = 4, rule = B34cjy5y/S23
3o2$bobo$2b2o!
sorry I can only speak Japanese, English is made by machine translation
I'm a fan of methuselahs
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rutabaga
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rutabaga » February 11th, 2023, 10:41 am

Code: Select all

x = 21, y = 31, rule = 6/2/3
.A17.A$.2B15.2B$A2.A13.A2.A$AB2AB11.B2ABA$.BA.B11.B.AB$BA2.B11.B2.AB$
A3.B.A7.A.B3.A$.B2.A2BA5.A2BA2.B$.A4.A.B3.B.A4.A$2.BA.A2.A3.A2.A.AB$2.
A.BA2B5.2BAB.A$3.B3.A5.A3.B$3.A.B9.B.A$4.BA9.AB$4.A3.5A3.A$5.B2.2BA2B
2.B$5.A.A.A.A.A.A$6.BA.A.A.AB$6.A.2BA2B.A$7.B.3A.B$7.A.A.A.A$8.B.B.B$
8.A.B.A$9.B.B$9.A.A$10.B$10.A$9.B$9.A$10.2B$10.2A!
This rule has a lot of rakes, breeders, etc. and it's probably pretty well known, but being the noob I am, I'm not sure.

Code: Select all

x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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pipsqueek
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pipsqueek » February 11th, 2023, 11:18 am

rutabaga wrote: ↑
February 11th, 2023, 10:41 am

Code: Select all

x = 21, y = 31, rule = 6/2/3
.A17.A$.2B15.2B$A2.A13.A2.A$AB2AB11.B2ABA$.BA.B11.B.AB$BA2.B11.B2.AB$
A3.B.A7.A.B3.A$.B2.A2BA5.A2BA2.B$.A4.A.B3.B.A4.A$2.BA.A2.A3.A2.A.AB$2.
A.BA2B5.2BAB.A$3.B3.A5.A3.B$3.A.B9.B.A$4.BA9.AB$4.A3.5A3.A$5.B2.2BA2B
2.B$5.A.A.A.A.A.A$6.BA.A.A.AB$6.A.2BA2B.A$7.B.3A.B$7.A.A.A.A$8.B.B.B$
8.A.B.A$9.B.B$9.A.A$10.B$10.A$9.B$9.A$10.2B$10.2A!
This rule has a lot of rakes, breeders, etc. and it's probably pretty well known, but being the noob I am, I'm not sure.
that rule is not well known. but a very close relative known as Brian's Brain (/2/3) behaves very similarly

Code: Select all

x=17,y=16,rule=B3/S23
3bo3bobo2bob2o$bobo4bo4b4o$bobo5bobo2b3o$b2obob2o3b2o$3o4b2ob2o2b2o$4b
o4bo$4b2obobob2ob3o$3ob3o2b2o$b3o2bobobo5bo$o3b2o3bobo2b2o$4bo3bob2o3b
o$2obo2bobobo2b2o$3b3o5bo2b2o$2obo4bo2bob2o$o3bob2obo3b2o$2bo8bobobo![[ STOP 3 GPS 4 ]]
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rutabaga
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rutabaga » February 11th, 2023, 12:58 pm

pipsqueek wrote: ↑
January 9th, 533114, 5:14 pm
rutabaga wrote: ↑
April 8th, 55084, 8:01 am

Code: Select all

x = 21, y = 31, rule = 6/2/3
.A17.A$.2B15.2B$A2.A13.A2.A$AB2AB11.B2ABA$.BA.B11.B.AB$BA2.B11.B2.AB$
A3.B.A7.A.B3.A$.B2.A2BA5.A2BA2.B$.A4.A.B3.B.A4.A$2.BA.A2.A3.A2.A.AB$2.
A.BA2B5.2BAB.A$3.B3.A5.A3.B$3.A.B9.B.A$4.BA9.AB$4.A3.5A3.A$5.B2.2BA2B
2.B$5.A.A.A.A.A.A$6.BA.A.A.AB$6.A.2BA2B.A$7.B.3A.B$7.A.A.A.A$8.B.B.B$
8.A.B.A$9.B.B$9.A.A$10.B$10.A$9.B$9.A$10.2B$10.2A!
This rule has a lot of rakes, breeders, etc. and it's probably pretty well known, but being the noob I am, I'm not sure.
that rule is not well known. but a very close relative known as Brian's Brain (/2/3) behaves very similarly
Welp I found another breeder regardless lol

Code: Select all

x = 24, y = 17, rule = 6/2/3
17.2A$16.A2B$15.AB$15.B.A$14.A.AB$5.AB6.ABA$AB2.AB8.B$AB.AB.A6.BA.2A$
.AB2.B3.2A5.2B3.ABA$2.AB.2A.A2B4.2A.3B2.B$4.AB.AB5.B2.A2.BA$6.AB.A5.2B
.AB$8.AB2.B.B2.B$13.A2$7.AB$7.AB!

Code: Select all

x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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NimbleRogue
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NimbleRogue » February 11th, 2023, 7:50 pm

Most of the rules from my last SMOS post made of 2 different spaceships are explosive these are the only 2 that are not so far

Code: Select all

x = 147, y = 137, rule = B3-kq4-acikw5eky6-ac/S2-ci3-ae4i5ir6ckn7e8
b2ob2obob5ob2obo3b2o8b3o4b2o2b2obo2b2o2bob7o2bobobobo2bob2obob2ob2o5b
2o3b2o3b2obob2obo2bo4bob2o2bobob4obo2b4o3b3ob2o$2b4o3b4ob4obob2o3bo3bo
bo2b2obobobob2o3b2obo7bo2bo2bo3bobo4b2o2bo2b4obob2o5bob2o2b2obo2bobo2b
2o6bo3b2o3b2o2bo4bob3o$ob2o2bo3bo2b2ob2ob2obo3b2ob2ob5o2b2o7bo2bob2obo
2b4o2bobo2b2o2b2o3bo4b2obob2ob2ob4ob5o2bob4o2bob3o2bo2b2ob2obo4b2o2bob
3o$2b4o3bobo2bo5b4o3bobobobo3b3o2b4o3b4o3b5o2bob3ob2o2b3o4bobo2bo9bobo
2bobob2o6bobob4obob2ob2o3bob2o4bo2b5o$2b2o2b2o2b2o3bob2obo3b2o2b2ob3o
2bob2o2bo4bob4obobobobob5ob3ob4o3b2ob4obobobob3o2bo2bobobo3b6ob2obobob
o3bob2o4b9o2bo$b2o4bo2bobo2bobo2b2obob4obo2bob3obob3o7bo2b2o2b2ob3o5bo
bo2b5ob4o2b4o2b2o2b2o2bo7b3o2b3o3bo2bo2bobo5b3o2bobo2bo2bo$b2ob3ob5ob
2o3b2ob3obob4o2b2obo7b3o9b2o2bob2ob5o2bob2o3b3obo3bo2b2obobo2bo4bobo2b
ob3obobobobo6b4ob2o4bob2o2b2o$4bob2ob4ob2o2bo2bo2b2o2bo2b4obob5ob2ob3o
b3o2b2obo2bo2bo2bo3b2o5bo2b2ob2ob2ob3o2b2ob2o2b4obo2b6o2bob2obobob4o2b
ob2ob3obo2bo$b3ob2o6b2o5b6o2b3o3b3o2bo4bo2b2ob3ob2ob3o4b2o2bob3o2bob3o
5b3ob3obobobo3bo4b2ob2obo2bob2o5b2o2bo6b4obob3o$b3ob5obob2obob6o4b4o4b
3o3b3ob2o2bob7o3bo4bo4b3obobobob2o2b3o4bob2o2bo2bo2b2obo6b4obo2bo2b3ob
2obo2bobobo2b3o$bo3b2ob5obobo2b3o2bo5bob2o4b2o2bobob2obo4bo6bob2o2b4ob
ob2ob4obobobo2bob4obob2o3b2ob3ob6o2bobo4bobo2b4o3b2o2b2obo$2ob2obob2o
2b2ob2ob6ob2o3b2ob4o5bobob2obo5bobob4o2bo2bobo2bob2o2bob5o3b4obo2b6o2b
o2b3o9bo4b2o4b2o3b2ob3o2bobo$2b2o5b2obo2b2ob2obo4b4o2b5o4bo2bob5ob7o2b
obobo4b2o2bobo2b3o2bobob2o2bo2b2o2bob4o6bobobo2bo4bo2b2obobob2ob3obobo
2b2o$b2o4b2obobob2o5bo3bobobo3bo4b2o2bob2o2bob4obob4ob3obob4o5bob2o15b
2obob3o2bo2bo2b3o2bob6ob2ob2ob4o2bobob2o2bo$2b3o2bo2bo3b2ob4ob2o2bobob
ob9o2bo2bo8bobo6bobob4o3bobo2bo2b2ob2ob5obobo3bob6o2b2o6b2ob4o2b3ob2ob
2o2bob2o2bo$bob2obob2obob3obo2b2o3bobob2ob3obobo2bo2bob3obo4b2o3bobo2b
2o5bo4b2o2bo4b3obo2b5obobo2bo4b2o2bo3bo3b4ob2o5bo3bob3ob2obo$2bob3obob
obob3obobob2o3bobob2o2b3o2bobo4bobo3bo5b3o2b2o2bo2bo3b2ob4ob2obobo2bob
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ob2obobob3o3bo2bob2obo3bo4bob2o3b2o3bob2o2bobob2o2b2ob3obob3obobobobob
o4bobobo3bo3b3obo2b2o3b3o$bob2ob2o3b5ob6obo3b4o3b2obobo2b4ob2o2b4ob2o
3bo2b2o2bo3b2ob2o3b2o2b3o2bo5b9ob6ob2obobo4bo6bobob2o2b4ob2o$4bobob2o
4b5o2bo3b5obob2o3bob2o2b3obobo4b2o2b3o2b7o2bo2bobo3bobobo7b2o3b4ob4obo
2bo2bo6bo2bo2b2ob4obo3b2o$bob5o3b4o2b2o4bo2bob2o2b2o3b2ob3ob2obob3ob3o
4bobob2ob2o2b5o2b2o2b6o3b2obob2o2b2o11b3ob2obo2bo2bo3bo2b2o2b3o3b3o$2o
bo2b2ob2obobo5b4ob2o2b3o2b3obo6b4o2b2obo6bo2b2o5b2obob3ob3obob5o3bobob
ob2obo4b4o6bo2bo2bob2obobo2b3o5b5o$o4bo2b2o7b2o2bo2b2obobob3o4b5o3bobo
b3o2bo2bo2bob3o5bo7bo3bo3bo4bo3b2o3bob4ob5o3bobobobob3obo3b6o2bo$obo4b
ob2ob2obob2obo2bob5ob5o3bo2bob3o3bobo2b2ob13obobo2bo4b2obob5ob2obo5b4o
4bob2o2b2o6bobobob2ob2ob2o2b2o4bo$2bo2bobo4bobob2obob2ob3ob2o2b2o2bob
2o3b5obobob2ob2o2bo3b3o7b2obo3b4obobo2b2obo2bo2b3ob4obobobobo3b2obobo
4bobo2bobo2b2obo3bo$3b2o3b3o3b2ob5obobobobo5b4ob3ob2ob2obob2ob2o4bobo
3b4o3b2o2bobobobo4bo2bo2bob2o7bo3b2o2bo2b2o2b5o8b5ob2ob2obo$o2bo2b4ob
5o2b5o3bo2b2o3b3obobo5bo2bo4b2o3bo3b2obo2bo2b2o3b2o3bob5obobob3ob2ob3o
b3o3bo2b2obo2bo2b2o3bobo2b3ob4obo2b2o$bo2b2obobob2obobo7b3obobob2o3bob
o10b3ob5o3b2o3bo2bobo3b2ob4o5b2ob3ob5ob2ob5ob4o6bob4obob2o4bo3b3obobo$
2b4ob3o3bobob2obobob2ob5o4b2o2b2obobo2b3o4b3ob3o2b2ob2o2bob3obo3bob2ob
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2obob7obo4bob5o3bo5bo2bo2b3obo4b4o3b3o7bob3o2b4obob4obo2bo5bo2b3o2bo2b
3o2b3o$2o2bob3obo5bobob5o2bo8bobobobo2bobo3bo2bob2ob3o3bo3bo2b4o2bo2b
3obo2bob5ob3ob2o3bo3b3ob2o2b2o3bobo3bob2ob3obob3o$b3ob3obo2bobo4b2ob4o
3bob4o2bo2bob3obo3b2o2b2o2b2obo3b3o3b5obo3bobo3bo2b2obobo3bo2bobo2b2o
2b2ob2o3bo2b3ob4o3bob5o3bobo$6bo2bo2bobo2b2obobo3bo2bo2b3o2b3ob3ob3o2b
3o2bo2b2o2b2o4b2ob2obob2o4bo2b6ob2ob2obo4b2o3b4o3b3ob5o2bobo3b2o3bobob
6o$2obo3bobob2o2bo3b2ob4o2bo4bobo4bob2o3b2o5bob2o5b3ob4ob3ob2o2b2o2b3o
2b2o2b2o3b2o3bobob2ob2ob3o2b3o2b2ob5ob2o3b2obo2b2o$obob2o2b5ob3o2b3o3b
5o3bobob3ob2o2bob2o4b4obo5b2o3b3o3bob2obob3ob3o2b4ob2o2bob2obobob2o4bo
3bo2bobo2b4o2b3ob2obo2b3o$2bo2b2o2b7obo3bobob3obob2obo4bo3bobobo4b5o5b
2obob2ob2obob2obo10b2o3b4ob4ob8obob6o2bob5ob3obo5bo4bo$2b2o3bobo2b3ob
2o3b4o3bobobobob4obob3ob3o3bobo3bob3o2bobob3o2bobobob3ob3o3b4ob3obobob
3o3bob4obo2bob7o2bo2b4o2b2obob2o$2o3b4obob2o2bo2bobob7o2b2o2b3ob7ob2ob
ob3ob2ob2ob3obob3ob2o2bo3b6obobob2o3b3o3b8o2b3obo4b2ob2ob4o5bobo4b2o$
5ob2obob4o2bo2bo2bo4b2o3bo2bo2bob2ob2ob3o3b2obobobob2ob4ob2obob2o2bob
2o4b2ob4o2bobobob2o2bobob2obo2b3o2b2o4bob3o4b2o3bobob2o$6o2bobo2b3ob3o
5b2o2b2o3bobo4bob2ob3obo2b4obo3b3o5b2ob6o3bob2o2b4obobobob4obobob2o5b
5o2bo2b2o3b3obobobob2ob4o$bo4b2obobo3b5ob3o3b4obo2bo2bob4o2bo2bo3b2obo
bo3b3o2bo2bobo2b2ob2ob2o2bob3obobo2b2obobo2b2o3bo2bob2obobo2bobo6bo3bo
bo2b3o2bo$5ob2ob2ob3o4bo2b2o2b2o2b3o3b3ob2ob2o2bo2bo2bo5b2ob2o5bo2b4ob
o2b2obobo8bobob2obobobobo4bo2b2ob2ob2obo4b4ob4o3b3ob2o$bo3bobobob3ob3o
3b4o3bo2bob2o2b2o2bo2bobob5ob2o3bobobob4o2bobobob2o4b2o2b4ob2o2bobob2o
bo2b3o2bo6bob12obobobo3b3obo$bob2obobo3b2o3b2ob2o4b3obob2obobo2b2o3bob
o2b2o3bob2o2bo4b2obo2b10obo2bo2bob4obobob4o4b2obo2bo5bo4b3obobobob2o2b
obo2b3o$6b2o2bobo2b2ob2o2bobobobo5bo4bob3ob3o2bob2o2b2ob2ob2o3b2o3bo2b
o3b3ob3obobo2bobob2o2bobo5b2obo9b2o2b3o2b2obo2bo4bo4bo$2b2o2bobo2b3o5b
o3bob3o5bo4bo4bo2bobo3b5obobo2bo2bob4o5bobo3bo2bob3obob2obo7bob6o2b2o
2bo2b2o2bo2bo3b2ob2ob2o2bob2o$o2bob2o6b2o6b3o3bo2bobobo5bobobob2o4b2o
2b2o2b3o2bo2b5o6b3obob2ob2obobob2ob2ob2o5b4ob2ob2o2bobobobo2b3o2bob2o
3bo3b2o$bobo2bo3b2obobobo2b2o6bob2ob2obob2obob3obo2b2o3b2o3b2obobo4b3o
bo2bo5b2o5b3o2bo2b8o2b3ob2o2bobobo3b2o2b2ob2obo2bo2bo4bo$bo3bobo2b4o2b
obo2b5ob2o2b7obo2b5obobo5bobo2bo5bob3ob6obo2b2o2bo2b2o2bo5bo2b2ob3ob4o
bo4bo2bobobo3bob2o4bobo3b2o$b3obo2b2obo2bo2b4o3b2o3bo2b2o3b3o3b14obob
2o2b3obo2b3obo2b2obob3o2b4o2b3o3b2ob3ob2ob4obob2o2bo2b4o2b3ob3ob4o4bo$
5o2bo2bob2o2bo3bo3b3ob3obo2bobo4bo3bo5bo2b2obobo3bob2o3b2obo3b3obo4b6o
b2ob3o3b4obo2bob2ob2obobobob3ob3ob3o2b2o2bobobo$4o2bo5bob3o2bob2obob2o
2bobo2bob2o2bobobo3b2o3b5ob2obob2o3bobo4bob2o2b3ob3ob2o2bo2b3o2bobobo
2bo2bob4o4bo6bob2o2b3ob3obo$bobob5obob4o5b5ob7ob3ob2obobo2bobo2bob3o2b
3ob2ob2obob3o2b2ob4ob2o3b3o3b3ob6ob3o3b2o2bob4obo4bo4bo2b3o2bobobo$obo
bobo2bo2b5ob2o3bob3obobo6b7o2b3o2bobo2bob2ob3o3bob4obobob4ob2ob3o2bobo
3b3obob2o2bo5b2o2bob7ob5obobobob2obobo$2bo3bo5bo2bobob2o6b2obo2bo2b2ob
obob2o2bob2ob2obo2b3o3b3ob2obob2o3b3obo3bob2obo3bobo4b4o2b2ob4o2b2o2bo
bo2bob2obo2bo2bo2b3o2b2o$5b2obo2b5ob4ob2obo5bo2bo3bobobob2o2bobob3obo
6b2o4bobo3b2o2bo3b2o2bo2b4o2b2ob2o4b4obob6obob7o2bobo2b3obo2b2ob2o$4bo
bo2bob3obo2bo2b3obo3bob5obobo3b2obob3o2bo4bo2b2o2b7o2bobo3b2o3bo2bobo
2bo2b2obo2bo2b5ob2o4bo2bo3b2obob2obob2o5bo$3b2obobo3b4o2bobo8b4obo2bo
5bo5b4obobo2bo2bob2o2bob2o2b3obo3bobob7o3bobobobo3b3ob2obo6bo3bo2b4ob
2ob6ob3o$obob4ob2ob6ob2obob2obobo3b6ob2o2bo3b3obob6ob2obobo2bo2b2ob4ob
3obo2b2obob2obob2o4b2o3b4o2bo2bob2o2bobob2o2bobo5bo2b2o$b3obo3bo4b2obo
6b3ob4obob4o2bob3ob2o2bobob2ob2ob7obo5bob5obobobo2b3obob2obobob4o2bo3b
ob2o5b2ob2ob6ob2o2b2o3b3o$o2b5o2bob3o3bo2bo2bob3ob5o2bobob2ob2o2bo2b2o
5b2o2b2o3b4ob2ob2o4b4o3b2o5bob5ob4o6bo4b4o4b3ob3o3b3obob2obo$2o2b4o4b
2o2bo3b2o2bo2b2obo3b2obo2b3o3bob6o6b3o2bobo4bo2b2obob2o2b2o4b5o2b3ob2o
2bobo2bob4ob3o3b2ob2ob2obobo3b6obo$o9bobob3o2bob6o7b3o2bo6b3o8bob8o2bo
bo3b3o3bo6b3obob4o3bob5o3bo2bob3obo6b2ob2ob2o2bobo4b2o$3obobob3obob7ob
2ob2o2bo2b2o2bob2obo3bo3bob4o3b2obo2b2ob2o5b2obobobobo2bob2obobobob3o
2b2obo2b3ob3o3b2o2b2o2b7obobo2bobobo2bo$bo2b4o2b2o6bobo4bo2bob3obo3bo
2bobo2b2ob2o3bob2ob4o5b2obo2b2ob2ob3ob2o3b5o3bo4b3o2b5ob3o2bob4o4b5o3b
4ob6o$2b12ob3obobo2b3ob4o3bob2ob3ob2o2b3ob2obobo2b3o2bobo4b3ob2obo3bo
6b5ob3o2b2o2b2ob4ob2o2b2o2b4o2b2o2b2obo2bobo2bo$3o2bo2bobo4bo2bobo3bob
o3bob2o2bo2bob3obobo3b7obo4b2o3bob2obo2b2o4b2o2b2obo3b3o2bob2obo6bo4b
6ob2o2b2o3bobob5o4bo$2bo2b2o3b2ob4o3b2obo2b5obo2bo2bob2ob7o2b6o2bobob
4obo3bob2o3bobobobo2bob2obo2bo2b2o2b7o2bo5bob5o2b4o2bo4b8o$b2ob4o2b4o
5bo2b2obobo2bobob3obo8b2ob2obo4b5obo2b3obob2o2bobobo2bobobobobob3obo2b
o5b2o2b3o2b2o5bobob2ob2obo3bob2o2bob2o$3o2bo4bob6obob2ob4o2b4ob2obobo
3bo2bobo2b2obo2bob4o9bo2bobobo3bobo4b2ob2o2b4o3b2ob2o3b2o2b3obobobob2o
5b2ob3ob2o$bo5b5o2bo3bobob2o2b6ob2o4b2o2b4o4b3obob2obo4bob6o2b3obo2bo
5bo2b2ob2o3b5obobo2b4obobo5bo2bobo2bob4ob2obobob2o$o2b2ob2o4bo9bo2b2ob
2o2bob3obobob4o2bo2b2ob2o4b7o4bobob2o2b3o2bo5bob2o3bobo2bo2bo6b5ob2obo
2b3o6b2obobo4b2o$bob4o3b4o2bo8bo2b6o2bo2b2o3bo2b2o5b3ob2o2b4o2bo7bobo
3b3o2bo3bo2bo2bo2bo2bobo3b4o3bobob2o2b6ob2o2bo9b2o$4b2o4b2o5b4o4bo5bob
o5bo2bo2bo2b2obobo7bo3b2o3bob2ob2obobobo2b2o4b4ob2ob2o2bob2o2bobob4o2b
2obo2bo2bo3b4o3b4o2b2o$ob2o4b2o2bo2b4o2b2obobobobobob7o2bo3b2ob2obobo
3bo2bobo3bo2b2o3bob2o4bo3b4o3b4obob3ob3o3b3obo4bob2o7b4o3bob2obo$o2b6o
2bo2bo2bobobobo3b4o3bo2b4o2b3ob4o6bo4b2ob2obo4bo2bo7bo5bob3obob2ob2o4b
o5bo6bob2obobo4bobobo2bobo3b2o$3b2o2b6obo3bobobob5o3b4ob5o2bo2bo2b2obo
b2obob2obo2bo6bo3b2o5bob3o2bo2b2obo2b2o3bobobo4bo2bo2b2o2bo2b2obo3bo2b
ob2o2bob2o$b2ob3o8bobobobobo3b2obo2bob3o2bo4bobob2obob3ob4obobo2b5obo
3b2obo2bob2obobobo2b2ob4o2bo2b2o2bo5b2ob2o4bo3bo4bobob2obob2o$o2b2o2bo
4b2obo2b4obob2o2b2ob2obo4bob2obobo2b2o3bo4b3o3bob10ob2ob7ob2ob3ob2o7bo
2b3o2b2ob2o2bobobo2b4o3b2ob2obob2obo$bo4b4o5bobo6b2o2b3o4bob2o6bob8o4b
4o3b4ob4obo2b2ob3ob3o4bobo4b2ob2o2bo4bo2b2ob4o3b2o3b6o3b2o2bob2o$3bo3b
ob5o2bobobobo3bobobo6bo4bob2obo4bo2b4o4b6o2bob2o7b2obobo4bo3bo10bobo2b
2ob2o2bobo2b2ob3obo3bobo3bo2bo$bo3bo2bo2bobo4bob5obobo3b2o4b3o3bob5obo
3bo2bo4bo4bo3bo2bo2bobobo4bob2ob2ob3obo2bo2bob2obo7bo4bo4bo2b2ob2o2b2o
b2o$bob4obo3bobobo5b2obo2bo3bo3bo3bob2o2bob2obob3obo4bo3bobo3bo2b8obo
2b2obo2b2obob2o4b2o2b3ob4o2bo3b3o2bo2b2ob2obo2bob2obo$2o2bobobo3bobob
4o3bo3bobo2b4o4bob2obo4bo4bo2bo5b2obobob2o2b3ob4ob2obo2b6obobo2b2o2b3o
2bo2b2ob3o4bo2b2obobo2bob5ob3o$ob5obob2o2b3obob2o7b2o2bo4bo3bobobo3b2o
3bobo2bobo3bo2bo3b2ob2o2b3ob4ob5ob2o2bo2b3o4b4o6bob3obobo3b5obo2bo$2b
3ob3o2bo4b2o3bo4bob4ob2o2b2ob2o4bo2bo3bo4bo2b2obo3b3o3bob3o8b2obobob2o
6b3obobo3bo4bob2obo3b4o4b3obo2bo2b2o$5b7obobo2bo4b3o3bobobo7bo2bo2bo2b
2ob2o3b4o2b7obob4ob3o4bo5b6o2bobo9bobob3o3b2o2bo4bob2obob4o3bo$3b2ob3o
bo2b2obob3ob4ob2obo3b2o4b4obo2b6obob2obobobobobo2bob6obo5bobob3obo3bob
2obobobob2o5b4obo2b2o3bo2bo2bobo4bo2b2o$bobo2b2ob3o3bo2b3ob2o3bob2obob
2o5b5o3bo3bo4bo2bo2bo2bo3bo2b3o3bo2bobo7b3obob6o3bo2bo2b2ob8o5bo2b2obo
5b2o2bo$4o2b2o2bob5ob2o2b3ob2o2b2obobo2b2o4bob7obo3b6ob3ob5ob2o4b5ob2o
bo3b2o2b5o2bo4bo2b5obo2b4o5b9obo4bo$4obo2bob2obob3o2bo3bo3bobo3b3ob3ob
2ob2o3bob2o2b2ob3ob2ob4ob5ob2o4b7obob2o8b2ob4obo2b2o3b2o3b4obob2ob3o2b
2obo3bo$o7bob4ob4obo3b2o2b2ob3o3bob3o2bo2b2o2bobob4obo3b5o3bobo3bobo2b
ob2o3bo2b2obobo5b3o2bob4o6bobobob6o3b2o4bob3o$11o2bo3bo2b2ob3o5b2o5bo
3bobobo2bobo2b2o2bobo4bob7o2bobobobo2bo4bob4o2b2ob2obo2b6obob4o2b3o2b
2obo3bob4obobob2o$bob2obo3bob2o3bo2bobobob2obob5ob2o3bo2bob2obo2b2ob3o
3bobo6bo4b3o3b4o6b3o2bo5b4o3b3o2bob2obob2ob2obo4b4o3b4obo$b2o2b2obo2bo
bob2o2b3o2b3obo3bobob2o2bo2b2obo3bo4bo3b2o2b3o2bobo2bo5bobo3bobo4bo5bo
3bo5b2ob3ob2obo2b2obobo3b2obo2bob2obob3o$obob2o3b3obo5bo3b2ob4obo4bo2b
3obob2o4bo2bo5bobob2o3b2o4b2o2bo3bobobobo8bobob2o2b6ob7o2bo2bo3bobobob
4obob2ob2o$ob2obo6bo7bobo2b5ob2ob2ob3o6b2obob2ob3obo4b6o2bob3obobo3bob
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2ob2ob3o2bob3ob4o3bobo2bob3o2b2ob2ob5o3bob2o3bo2b3obo2b2obob2ob5ob4ob
3o3b5obo3bobo2b2obo$4o3b2o5bobo4b2obob2ob4o3bobo2b2o8b2ob3o2bo2b2obob
4obo4bob2ob6ob2o4b2o2bo2bob3o4bobo8bo2b2obo2b2o2bobo2bo2bo$bo2b3o4b2o
3bo2b2o3b3o7b2obo2bob2o5bob9obo3b3o5b2ob2o4bobo3bo2b4o3b5o4b6o3b3ob2o
5b2ob3o3b5o2bob2o$bo2bob2o3bobo6b2o4b2ob2ob2o3bob3obo3bobo2bo3b2obobob
3obobobo2bo2bob2o2b3o2b2ob2ob4ob2obobob3o4b2o5bob4ob5o3b2o2b2o2b2obo$b
4o2b2o6bob4obo2b3o2bob2obobo3bo2b7o2bo4bo5bob5ob2ob3o2bo2b2obobo4b2o2b
2o2bo3bobobo5bo4b3ob5obo3bo2bo5bob2o$b2o2b4ob4o3b2ob3obobo3b2o4bo2bob
2obo4b3o2b6o3bo3b2ob2o3b2o2b2o6b2ob4o2b2ob4obobob7ob5o2b2ob4ob2o2bobob
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4b2obobob2o2bo6bobobo2bo2b2ob8obo2bobobo3bob2obo2b2o$2ob7ob3o4bo7b4o2b
2obob2o2b5o4bo2bo8b3o2bobobob2ob2ob3o3bob6o2b2ob2o6bo3b2o2b3o2b6obo2bo
2b2obob4ob2o$b2obo2bo3bo3bo2bob4o5b2ob3obo2bo2bobo2bo2b3o3bo4bob3o2bob
ob2obo4bo3b5obo2b4obobo3b3o4bo2bo3b3ob2obob2ob2ob2o2bob2obobobo$3obo2b
3o4bobo2b2o5b2o2bo6b2o3bo3b3o3b2o2b2o4b2obo4bob3o2bo3bo3bobo4bo2b2obo
2bob2obobob5o3b2obob4obob6o2b2o2b4o$o6b2ob2o2bo2b4o5bobo4bo2bobo2b6ob
2o4b2obo2b4o2b2o3b2o6bo3bo6b4o2bobo3bob2o2b2ob4ob5o3bo5b2obob2ob3obob
2o$4o2b2ob2o2b2obo2bobobo3bo3b2o2bobobo2bobo2bo3b2obobo7bobo8b6o3b2o3b
obobo2bob2ob3o4bob5obo2b4obob6obobo2b3ob3obo$3ob2o5b2o7bob2ob2obo2bo5b
6ob3o3bo2b2obob3ob3ob2o3b2o2b3o2bo5bo3bobobo2b2o2b5ob5o3bobobo4bo3bo5b
o4b4obobo$2obo6bo2bobo2bobobob2obob2obo3bo2b2obob2ob4o2bo3b2o2bob3o2bo
3b3ob2obob2ob2obobo2bo3b4obob3obo2bo2b2o2b4obo3bo6bob3o2b3o2b2o$b7o3b
2o2b3o4b2obo2bobo3b2o4bo2b4o3b2o6bobobo2b2ob3o3b2o2bob5ob2obo2bo2b4o4b
obo2b2o2bobob2o4b2o2bobo2b6ob3o5bo$3obo8b3o4bo2b2o2b2ob2ob5obo2bob7o6b
o3bo2bob2o3bob2o4b3ob2o3b4obo3bobob2obob5obob2o2b2obo2b2o2bo3b2ob2o3bo
b2ob2o$o3bob3ob2ob5o2b4obob3ob3obobo4b4o3bo3b2obo4bo2b2o3b2obobob4obo
2bobobo6b2ob2o4bob4o3b2ob3o2bo3bob2o2bo4bobo3bob2o$3o2b3ob4o2bob2ob2o
4b2ob3ob2obo2bo3b3o2bo6bobob8o3b6o2b3ob5ob3ob3o3bo3b5o4b2ob2o2bob3ob3o
b2ob9ob6o$obob2ob4ob2o3bobobo2b2obob2o3b3ob5o3b2obob5o3b2o3bo3b2o5bo9b
ob2o3b3o8b3ob3o2bobo2bo3b5o2bobo2bo4bo3b2o2bo$obobobo5bo3b3obo2b2ob2o
2bo2b2o4bobobo2bo3bob5ob2ob4ob3o3b2o5bo2bobobo2b3o2bob2obo2b3obobo2b4o
b2ob3obob3obo5b3ob3obo2bo$3o3bo2b2obobo11bo2b2o4bob7obob3o4b5ob3o3b2ob
6obo3bo4b2ob2o2b3ob3o3bob2o4b3o2b3o4b3ob3o2b2ob2o8bo$o3b4o4bo2bo3bo2bo
2bob3o4bo6bo2bob2obo6b6obob3o2b2o2bob4obobo3b2o3b7ob3o2b4ob2ob3ob2obob
2o2b2o2bob2obo3bobob3o$2obob4o4b3o4bo2b2obo5bo4bob3o3bob2ob2o8b3ob2o2b
6o3b7obo6bo4b3obo5bob2o3bobo2b7obo2b3ob2o4b4obo$b6o4bob5obobo2b3obob2o
bob2ob4o3bo3bo2b3o3b4obob2ob2obobob5o3b2obobo3b4o2b2ob2o2b2ob2obob6o2b
2o2bob3o2bob2o2bo4b3o$b2o2b2obo6b3obobobob4o4bo2bo2b4ob2obobobo3b4ob2o
b3ob2o3b2ob4o2b3o3bob2ob3ob2o2bob3o3bobo2b3o2bob6ob3o3bo2b3o7bo$o3b2o
3b2o3bo2b2obobobobob5o8b4o3b3obo2bo3b4o2bo5b2obob4o2bo4b2o3bobo2b6o2b
3ob3o4b2o5b2obobobobo2b2obobobo2bo$o2bobo2b2o2b2obo2b4ob6ob4ob2o2bobob
o4b4o3bobob2obo3b2o2bobob2o3b3o2bobobo2b2o2b2o3bo2bobob3o4b2ob3obo3b2o
2b3o5b2o2b3ob2o$o3bobobob2ob2o4b4obobo3bob3obo3b2obo4bob7obo4bob2obob
2o2b4o2bo3bo2b6o2bo2b2obo2bobobobo3b3ob6ob2obo7bobo4b3o$2b2obob2ob3o2b
2obo2bob6o4bobob2ob3o2bobo3bo4b3o2bo2b3ob2o9b3o2b3o2bo2bo4b2obob2obo2b
obo3b2o2b4o2b5o2b2o5bobobob2o$3bobo3b3obo5b4o2bob2o2b3ob2ob4ob2o2b6ob
3obob4o2b2ob5o2bobob2ob2o4bobo3b2ob3obobobobo4b5obo2b2o2b6ob4o2b4o2bo$
5o2bobobo5bo3b3ob4o2b2obob4ob2o3bobobo3b7obo5bobo2bob2ob3o2bo2b2obobob
5obo3bob2o2bo2bo2bobob2ob2o2bo2b3o4b2obobob2obo$b3o2bo4b3o3b2obo2bobob
2o2bo3b3o9b3o6b6ob2obo2bob2o4bob2o3b3obob2o2bob2obob2ob2o2bobobob2ob2o
b3o4b4ob2ob2o2b2ob2obo$b4o2b8obo2bob3o2bobob3obob4o2bobo2b3obobo4bo5b
2ob7ob2o5b3o3b2o2b2o2b2obo2bob5obo3bob2o3b5o2bo2bob2ob3o2bob2o$obobo3b
o6b3o3b4o2bob2obob3o3bo2b2ob2ob3o3b4obob2o2b5ob2obo2b2o8b2o4bob2ob3obo
bo5bobo2b2o3bo2b2ob3obob2o3b2o2b2o$b3o2bo4bobo2b2ob2o2b2o3bob3o2bo4bob
obob2obo4bo3b2o4b5obo2bob3ob2obob2o2b2ob3obo6bo2b2ob2o2bob6o2bob2o3bo
2bo2b2ob4o2bo$4b7ob2o4b4o2bo2bob2ob2o2b2o5bob2ob3obob2obo2b2ob2obobo2b
ob3obo2b3o3b2ob2o3bobobo2bo3b2o3b2ob11o2bo5bo4b2ob3o3bo$2obo2b2ob2o3b
5ob2obob3ob3obo5bobo2b12obo2bo2bo3b2o4bob4ob6obob2obo6bo2bo2b2o3bo2b2o
b3o4bobob2o2b4o3b2obo3bo$bo3b3o4b2obo2bo3b3ob7o3b2obo5bob2obo2bob2obo
3b2ob4obobob2o2bo2b2o2b2o5b2o6b3o2b2o5bob2o5b3obo3b2o2b3obobob2o2b2o$
2bobob2o2b3obobobo2b7ob3o5b5o2b2obo2b2ob2o3b2obo2b2o2b3obo4bo2bo4b4obo
b2o2bobob3obo9b3obo4bob7o2bob4obo2bo$bobobo2bo3b2o2bob2o2b2o3b2o3b3o2b
3obobo4bo3bobo2b2o6bo4b3ob3ob2o3b2obo2bo2bob2ob3o2b4o2b2ob5ob2ob2obo2b
ob2ob4o2b3obo2bo!

Code: Select all

x = 127, y = 95, rule = B3-kq4cejnqrz5eny6-ac/S2aek3-aek4i5j6ak7e
2o3bobo5b5o3b3obo2b2o2b2ob2o3b5o6b2o2bo3b4ob3ob3o3b2obo4b2obo2b4o2bob
2ob6obob2o2bob3obobo3bo$2obo2b2ob2obobo2bob3o2b3o3bob3o3bo2bo6bob2o3b
2obo2bob6o10b4obobob2o2b3o5bobobo3b2o4b5o2bo2b3o$2ob2obo2bo2bob4o2bobo
b3o2bo4bob5o2bob5ob8ob2obo2b2o2bobobobo2bobobob2o2b2ob4obobo5b2o2b2o4b
3o2bo4b2o$4o2b2obo3bob2o3b2o3bob4o3bobo2b2ob3o3b2obo3bo2bob5o2b3obobo
3b2o3bo2bobob2obobobobob2ob2ob2obob3o2bo3b5obo$8bo2b3o2b2ob3ob2obobob
3obo2b2ob2o4bo3b2o7b2ob4o2b2ob4ob3obo2bobo2bo2b2ob2obo2b2o2b6ob5o2b2ob
obobo$o4bobo3b2ob3ob2o4bo2bob2ob2o4bob3ob2o3b3obo2b3o4b4o5bob2o4bo2bo
3bob3obobo3b7obo5b2o2bobo2b3obo$bo4b2o3b2o2b4o2b2obob3obob2o2bo4b3o2b
3obobobobob4o2bo2b5o2b2ob2ob2o2b2ob3o3b2o3bo2b4o4b3ob2obo3bo3bo$3bo4bo
b5o3b3o3bo4bo2bob3obobob6o2b2ob2o2bob3obobob3ob2o2b2o3b2obob2obo7b11ob
2o3bo2bob5o$4o2b5obo3bo3b5ob5o2bo3bo2bob4o4bobob3ob2o2bo3b2ob2obo2bo3b
2o4bobob2o2b2obobo2bo2b2o2b2o2b2o6b3o3bo$obo3b2obo2b3o4bo4bo2bo2bob5ob
3ob2obob3obob6ob2o2b7ob4obo2b4o4b2o2bo2b2ob4o6b3o2b2o3b2o2bo3bo$3b2o3b
obo2b2o3b3obobo2bobo2b4ob2obo4bobobob6o5b2o3b2obo2b2o2bob3ob3o4b2obob
2obob2o2bo4bobobob2ob4o$3o4bo5b2o2bo8bo3b4ob2obob2o2b2obob4o4b4o2bo2bo
2b7o2b2ob7o3bob6o3b3o2bobob2o3bob3o3bobo$5b3obobo2bo4bo2bob3ob4obob2o
2bob3ob3o5b4ob3o4bobo3b3ob2o2bo5bo6b3ob3o3b2obo5b3o2bo2b4obo$o2b2obo6b
4ob3o2b2ob2ob2obob2o3b3o3b2obobo2bo2b2o3b4ob2o2b2o2bobo5bo2bo2b2obo3b
2o2bo5bo2bob2ob3obo2b3obobo$4b4o2bo4b5o2bo3b3obobobo6bo9bo2bobobo2bo2b
3o4bobo2bob2obo6b3o2b2o10b2ob4o2b2ob3ob2obo$5bob2o2b4o4b10o3b3ob2ob2ob
o3bo2b3o7bobob3ob3o2bob2o2b2ob4o2b6ob4obo7b2o2bobobobo2b2obob2o$ob3o8b
obo2b2obo2bob3o4bo2b4o4bobob3o2bob3o4bob5o2bo2b4o3bo2b3o3b3obob4o2bob
3o5b6ob3o2b3o$b2ob5o5b2o4bobo3b2o6b3o2b3o3b2obobo2b2o2bobo3b2o2bobo2bo
5bo3b5obob3ob2ob6o2b3o2bobo3bobobo2bo$o6b2o2b2o5bobob3obobo3bobobobobo
9b5obob3o5bo7b3ob2o3b2o2bo3bo2b2ob3o6bo2b5ob2obo2b3ob2o$2bobobob3ob3o
3bob3obob2obo2b2obob2obo2b3ob2ob2obobo4bob2o6bo2b2o2b6obo5b2obobobob2o
2bobob2o2b4obobo2bob2obo$3obobob6o2b3ob3obo3b2o2bo2bobobob2obo5bobo2bo
bob3o2bo2bobo3b2obobobo2bo3bobo3b2ob2o2b6o6bo2b2obo2b2o$2o2bobobo2b3ob
2ob4o2b3o4bobo3bo3b2o3b3o2b2ob3ob2o2bob3o2b3o2b2o2bobo3b2obo2bo2b3o4bo
2bo3b2obobo3bob7o$ob3o2b3ob3o2b2obo6b3obob3obob5o5b2o3b2ob3ob4o2b2o2b
4ob2ob3o2bobo3b2obo4bob2ob3obo2bob5obo3bob3o$o5bo5b4o2b2ob2obobob4ob4o
bob2obo3bo3bo2b5ob2obo2bob3o3bobo2bob2o2b2o3bo2bob3o2b7o5b2o3b2obo2b3o
$ob3o2b2ob2ob3ob3o2b5ob2obo3bo3bo6bo2bobob2o2b3obobobo3bob2ob2obobob6o
7b3o2bo6b2ob2o2b2obob5o3bo$o3bob2o4bo9b2o2b4o2bo2b2o3b2ob2ob2ob2o3b5ob
o2b3obobobo2b3o4bo2bobo2bobobob2obobo2bob3o2bobo3b3ob3ob2o$o2b2o3bo2bo
2bob3o3bob2o2bob3ob2ob2o4b2o2b7ob2ob2ob2o2b3ob4obob4ob3ob2o3bo4bo2bo2b
6o4bob5obobo$3obo3bo2b3obobobo2b2obob3ob3o3bobob2o2b2o6bob6o4bo3bo2bo
2bo3bobob3ob3o2bo5b2ob9obob2o3bobo3b3o$3o11b2obobob2o7b2ob2ob4o3bo2b7o
2bob3obo2b5ob2obob4obo2bo3bob2ob2o2bobobo2b2o5bobo2bob2obob2o2bo$3bob
2obob2ob3obob2o4bo3bob3ob2obo2b2obo2b5o3bo3bo2b3o2b2obobob3o2bob4ob2ob
o2b2o3bob2obobo2bo5bo3b2o2b2obobo$bob2o2bo2bob2o3bo5b5o3b4obo6bo3bob3o
2b3o2b2o2b2o4bob2o2b2o2bo2b3obo3bobob2o5b2obobobobob3ob8o$o2b2obo2b2o
3b4ob3obobobo3b4o4b2o4b2o3bo2b2o3b3o2bo3b3o3bobo2b6o3b3obo6bob2obobo8b
o2bob3obo2bo$2bobob2obob2ob2obob5obobo5bo2bo3bo2b3o3bo2b3o2bo4bob2ob2o
2bobobo2bo2b2o2bobob2o2bobo2b2ob3ob2o2b3obob3ob2o3b2o$obob2obobo3b2o2b
obob2obobo4b3obob2ob2obo3bobo4bo3b2ob4o2b2o3bo2b2o2b2obob3ob2o2bobobo
3b3ob3ob4ob2ob2o2b3o2bo$b2obo2bo3bo2bob2obob5o2bob4o2b3ob6o2bo4bob3o2b
4o3bob2ob2ob4o3bo2b2obo4bob2o2b2o2b9ob3o3b2ob5o$ob2obobobob3ob4o2bo3b
2obobo3b2ob3obobo2bob2ob2o2b3o5b2obob3obo2b2o2b2ob2ob7obobobo4b2o3bo2b
ob3o5b2ob2o$4ob2obo4bo3b3ob2ob2obobob2o4b2obob3ob2obobo5b2o5b6o2b2o4bo
b2o3b2o2bo3b4o5b3o3b2ob2obo3bob4o$bo3b2o3bo2b2o2b2o2bobo2bo2b2obo5b2ob
o3b4obo4bob2obob2ob2o4b2ob2o2b2ob2o2b2o3b4o3b2obob2obobob6o4bob2obobo$
b2o2bobob2o3bob2obobobob5ob3o5b3obobo2b3ob4ob6ob4o3b3ob3o2bo3bob4obo2b
2obobob5obob2o2bo2b2ob2obo2b2o$3bob2obo4bo4b4ob4ob3obo2b2obob4obo5bo3b
2o3bo2bobo2bo3b4ob2o2b3obo2bobo3b5o5b3o3bobo3bo5bob2o$b6o3bobob2ob3ob
3o2bobob4o2b2obo2bo3bob4ob2obo2bo3bo4bob4obo2bob3obo2bo2bo3bob2o2bob3o
b2ob2o2b2o2bo2b2o2bobo$b2o2b4o4bob2obo2b3o3b4obo3b2o6b3o2b2o2bobo3bo2b
5o10bobo4bo4bob2ob3obobobobobo3bobob2o3b5o$2b2o5bo4bo3b2ob3o2bo2b3o6bo
3b2o5b2obo10b2o3bo2b2ob5obo3bob3o2bo2bob2obo2bobob2ob2obob2obob4o2b2o$
2obobobo2b2o2b2ob2o3bob2ob3obo3bobo5bo7bo2b2o2bo3b2o7b5obo3b3o5b2obo3b
obo4b4o2bob3o2b3o2b2ob3o$bobo3b2obo3bo5b2ob2obob2o2b2o3b2ob2ob2o8b3o2b
o3b3ob3obob6obobob2obo2bob2obobo3bob2o2b5o4bob6obobo$2b2obo2bob3o6bobo
bo2b2o3b3ob4obobobobo2b3o2b3o2bobobo2bo3b2o3bob2o2b2o2bo3bob3o3bo3bob
2o3bo3b4o6bob2o$o4bo2b2obo2bob3o4b3o5b2o7bob4o3bo2b2o2b2o2bob2o3bo3b2o
6bobo3bo2bo2b3obob2o2bob2o2b3ob4o3bob3obo$bo3bobo2bo4b2o4b2ob3obo5b5ob
2ob3ob2obo2bobo2b5obob2o2bobob4o2b2obo2b2o3b2o2b2obobobobo3bo3b2obo2bo
5b3o$2ob3o3b2o5b2ob2obobobo5bo2bob6o2b3obo2b4o2b3ob4o5bo3bobob3obo2b4o
7bo2bo9bobo3bo3bob3obo$2bo3bo3bobob2obobobo2b5o3bobob5obob4o2b2ob2ob2o
4bo4b5ob4ob2o5bo4b2ob2ob2ob3ob6obo2b2o4b2o3bo$ob3o2b2ob2obob3ob2obo2b
2obo3b2obo3bob4o4bo3bo2bo5b2o7b2ob2o4b2o2b2obob4obob4ob2ob2ob3o3b2obob
2obob2obo$bob5ob2o2bob2obobobo4b2o2b4o3b2ob2o2bo4b3obo3b2ob3obobo3bo2b
4o3bo2bo2bobo4b3ob4obo2bobo2b4o2bob2o5bo$obobo4bob2ob4o2bo4b4obobob2ob
2o2b2o3b4o2b9o3b2obo2b4o8b3obobo2bobob2obo2bo4b2obobo4b2ob2o2bo2bo$3o
6b4obobobo3bo3bo2b3o5b3ob3obo3b4o2bo3bobo2b4o2bobobo4bobo2b2o3bo3b3obo
b2ob4o2b4o2bobo2bo2b2ob2o$b2obo2bob2obo2bo2bob4ob2obob5ob2ob3ob4ob2obo
bobobobo2bob4obo2b2obo8bo2b3o3bo3b2o2b3obob4o4b3o3bo2b2o$3bo3bo2b4ob4o
b4ob4ob2o2bob3o2bob2o3bo4bobob2obobo2b2o2bo3bob5obobo2b3ob2obo5bob3ob
2o4b4o6b2o2bo$2b2o2bob2o3b2ob2ob2ob2ob2o3bo5bob2ob4ob3o3bo5bobob2o2bo
2bo4b2ob3obo2b4obob4o2bobo2bo2b3o2bob3o2b2o4bo2bo$4ob6ob2ob2o2b2obob2o
2b2o2bob2o3bo3bob2o3b3o2bo3bob2ob5ob5o3bob3obobo2b3o3bo4b4ob2o5b2o2b2o
4bo$ob3o2bob4o3b2obo2b2o2b2ob2o2b3obobob2o5bob2o2bob3o2bobobobob2o2bob
2obobo3b4o2b2o4b2ob2o2b2o2bobob3o11bo$bo2b3obob2ob12ob4ob3ob3ob2ob3o3b
o4bob2obobobo2bob2o6b2o8b2o2b3obo5bob4o2bob5obo6b3o$ob3o3bo2bo2bo3b4o
2b2o5b2o4b3ob3o3bo2b2ob3o6b2obob5obobo2b2o2b2ob4obo2bo2bobobo6b2obo2b
2ob2o2bo2b4o$o4b5o3bobo2b6o5b2o2b8o9b3o4bo2b4o4b2o2bo7b3o3b2o5b2obob3o
bob3obob2ob5obo2bo$2bo2bob4obo2b2obo2bo6b2o2bo2bo4b2o2bo2bob7o3b3o2b2o
b2ob3obob4o2b3obobo3b7obob4o2bobobo3bo2bobo2bobo$b2o3bob3obo4bobo2bo5b
obo2bo2bo2b2o3b2o2bobo2b2ob4ob3o2b2o6bob6o3b2ob2ob2obobob4obo4b2obo2bo
6b3o2bo$2o2bobob5ob3o3bob3ob2ob2o3bo3bob2ob2o2b2ob2obobob2obobo3bobobo
bobo2bo2b4ob3ob2o3bo3b3o2bobo3b3o4bo3bob5o$6b2o5b3o2b2obo2bob4o3b5ob2o
bobob2obo2b6o3b2obo4bobo4b2o3bobob2ob2obo2bo5bobo2b2o2b3o2bob7obo$bo3b
3o3bob4ob3obobob3ob5o2b5obob2ob4o2bob4ob2obobobobob2o2b6obob2ob2o3bo2b
2obobo3b5ob3o2bob2ob6o$8o2b2ob3obo2bo5b4obobo3bo2b2o2b2o2bo3b2o4bob5ob
obobo2b3ob5o2bob3o3b5o3b2ob2ob3ob3ob2ob5o2bo$bo2bo7bo2b3o4b3ob4ob4o2b
3obobo2bobob2o2b2o2bo3bo4b2ob2o3bo2bob4ob4obobo3bobo3bob2obo2bo2bo2b3o
2bo3b2o$4bobo4b2o3bo3b3o2bobo3bo3bo3bo2bo2bo3bo4bo5bob5o2b5o2bob2o3b2o
b5obo4bo2b2ob2obo3b2obo4b2obo3b2o$bob3o3b2o3b4ob5o2bobob3obobobo2b3o2b
o3bob9obo6bo3b3ob3obo3b2obo3bobo3b2o2bob2o2b5obobo3b3o2bo$obobob4o4bo
3bob2o4bo2bo2b2o3bobob2o3bobo3bo2bo2bo4bobo2b4obo2b4obobo2bo2b4o7bo3bo
5b3o2b3ob4o2bo$5ob4o2bo2bobo3b3ob3o2b8ob2obo4b2ob2o3bo2bo2b3o2bobob2ob
10o6bob3o3b3o5b2o2bo3bobob2obo3b3o$b3ob3o7bobo3b3obobo3b6o3b2o2b3o2bob
3o3b3o5b4o4b8ob3ob4o2bo2bo2bo2b2o2b5ob3ob2o8bo$4bob2obo3bob5o5bo2bobo
4bo3b2ob3ob3o5bo3bo5b2o5b2obo2b6o2b4obo6b3o3bo2b4obobobo2bob4ob2o$bo2b
obob3o3bo2b3obobo5b2ob5obo2b4obo2b6obobob4o2b2o2b2obo2b2o6b2ob2obo4bo
2b2o3bo2bobob2o4bo6bobo$2bob2o7bo2b3ob2o2b4o5bob5o2b3o3bo4bo4bobo3b2ob
ob4obo3bo3bo4b2ob3o2bo2bob7obob3ob3o2bo4bobo$b3ob7o2b2obo2b3o4bo4b4o2b
ob2ob2ob3obo2b5o2bobo5bob2ob2obo3bobob3o2bobobo2bobo2b2obo2bo2b3o2b4ob
o3b2o$b3ob2obo4b2ob2obo2b2o4b2o2b2obob2o6b2o2bo2b2o2bobo3bob4obo2bo3b
4o2bobobobobo3bo3bo3bob2o2b2ob3o5b4ob2o$3b2obo2bob5obobobob2obob4o3b4o
bo2b2o2b5o2b3obobo5bobob3o6bo4b2obob3obobobob4obob2o2b3o3b2ob2o2b2o$ob
ob3o2b4o2bobobo7b2obob3o5b2o7bobob2o2b4o3b2o2b4obo2b11obobo2bobob2obo
3b2o4b3o5bo2b2o2b2o$o2b6o2b2obo2b2o8b2o2b5o4b3ob2o2bobobo4b2o2b3o2bobo
7bob2ob2o3bo3bo6bo3b6o3bo2b2o2b3o3b2obo$2bo2b3obob2o2b3o2bobo4b3o2bob
2o2bob3obo2bobo2bob2o4bob5obob2ob2o4b2obobo3b3obob2obo3bo3b2obob2ob3ob
o2bo3bobo$2ob2ob3o2b4obo7b3ob2o7bo3bob2obob2o6bo5b2o3bo2b4obo2b3ob4ob
2o4bo2b2ob4o2b2obobobobob7obo$o3b2o2b2o2bo2bob2ob3o2b3ob3obo2b3ob2obo
3bo5b2obob2ob4ob2obo4bo2bo4bo3bo4bobo3bo2b9ob3obobobo6b2o$2bo3bob7o4bo
3bo4bob2o6bob3o4b3obobo2bo2b2o4bo4b2o3bobo2bo3bob2obobo2bobo2bo2bob4o
4b5o6bob2o$2obobo2bob3o2b2ob5obob2obo2bo2bobobo2bobob8o3bo2b4obo6b2ob
2o2b3o4bo2b4obo2b2obo3bo5b2o4bob2o2b5o$4b3o2bobob2ob4o2b5o3bo2bo2b2o4b
2o3b2obo2b2ob2obo6bobo2b3o2b2o2bo2bo2bo2bo2bo2b2obo2b2o2b2o3bo3b3ob2o
4bo$5o4b3ob2obob9obobob2o3bo3b2obo4bob2o2bob4obobo2b5o2b5obob2ob2o3b3o
bo3b3obob2o4b2o6b5obo$ob2o2bo2bob2ob2o3bobob2obobobobobob2o2bobo4bo2bo
2b3o2bo2b4obo3b2o2b2ob4obobo6bob2ob3o3b2o2b2ob2ob2obo3bo3b2o$o2bobobob
obobob4o2bobo3bo3bo2b3o3b2ob3o2bo2b2obobob4o5b10obo2b4o2bo3b2obo2b2o2b
ob2o2b2ob4ob3obob3ob2o$b2o2bo3bo2bo2bo2b2o2bobobo3bob4ob7ob4o5bo2bob2o
4b2o2b4o4bo2bo2b2o6bobo2bob4o3b3obob2o2bo3b7o$ob4o2bobobo2b2obobo7b2ob
obo2b2ob4obobo2b4o2bobo4b2o2b2o3bo2bob6o2b4obob2ob2ob2obo2b3obo2b6o2b
2o2bob2o$2bob2obo2b6o2b2o5b3obo5bobobob4ob2ob2obo2bobo3bob3o2bo2b2o2bo
bobobo2b4ob4obob2obo3bob2obob2o4bo2b4obobo$5o4b2o3bob2obob4ob2o3b3obo
2b3obo2bob2o2bobo3b2o3bobobo2bo4b4o2b2ob3o9bo3b5o2bob2o2b2obob4o4b2o!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » February 12th, 2023, 1:19 am

4c/56o Rake & 6c/12o Rake

Code: Select all

x = 25, y = 8, rule = B3-e4cjky/S23
21b3o$2b3o16bobo$2b3o19bo$21bobo$21b3o$o2bo$bobo$2bo!
Corderized

Code: Select all

x = 53, y = 20, rule = B3-e4cjky/S23
38b3o$38bo11b2o$12b3o24bo6bo2bo2bo$b2o11bo30b3o2b2o$o2bo2bo6bo32bo$b2o
2b3o$6bo2$49bo$49b2o$3bo44bobo$2b2o$2bobo$30bo7b3o$29b2o6bo3bo$12b3o7b
o6bobo6bo4bo$11bo3bo6b2o15bo3bo$9bo4bo6bobo17bobo$9bo3bo$9bobo!
ーーーーEDITーーーー
56c/266

Code: Select all

x = 53, y = 81, rule = B2n3-e4y/S2-in3-a4iq
40bo$39bobo$38bobobo$38bobobo$39bobo$40bo7$b2o2b2o$2o4bo$b2o3bo$3bo2b
2o$4bo$4b3o$5bo16$15bo$14bobo$13bobobo$13bobobo$14bobo$15bo23$50bo$49b
obo$48bobobo$48bobobo$49bobo$50bo7$11b2o2b2o$10b2o4bo$11b2o3bo$13bo2b
2o$14bo$14b3o$15bo!
What is the speed of this Puffer?

Code: Select all

x = 3, y = 4, rule = B2n3-e4cy/S2-in3-a4iq
o$2o$b2o$2o!
(11,3)c/36

Code: Select all

x = 29, y = 43, rule = B2n3-e4cyz5c8/S2-in3-a4iq
2b3o$2bo2bo$2o3bo13b3o$o2bo15bobo$3bo15bo$3bo15bo$25b3o$21bo3bo$25bo2b
o$25b2o$9bo16bo$8bobo13b2o$9bo13b3o$6bobo15b2o$5bobobo12bob2o$5bobo14b
2o$4bo2b2o14bobo$5b3o$6bo14$8bo$7bo$6bobo14bob3o$5b2o16bo2b2o$6b2o18b
2o$7b2o16bo$9bo2$14b3o$16bo$15bo!
6c/372d!!!

Code: Select all

x = 4, y = 6, rule = B2n3-e4cy5c8/S2-in3-ak4iq
bo2$obo$o2bo$o2bo$2b2o!
(44,7)c/112 & P428 RRG!!!!

Code: Select all

x = 69, y = 7, rule = B2n3-e4cey5c8/S2-in3-ak4iq
3bo$2bobobobo$bo4bo2b2o$2o9bo53b3o$b2o7b3o32b2o18bo2bo$3bobob2o2bo34b
2o16bo3bo$5bo2b3o31bo4bo19b2o!
P378 Preddescor

Code: Select all

x = 7, y = 2, rule = B2n3-e4cy5c8/S2-in3-ac4iq
3ob3o$obobobo!
10c/48

Code: Select all

x = 5, y = 5, rule = B2n3-e4cey5c8/S2-in3-a4ciq
2bo2$obobo$o3bo$2ob2o!
64c/162 & 8c/84

Code: Select all

x = 50, y = 69, rule = B2n3-ek4cey8/S2-in3-a4ikqz
3bo$2bo4bo$bo5bo$2ob3o$b2o4b2o$2b2o6$47b2o$47bobo$46bo2bo$43b7o$42b2o
2bo$40b2o$41bo2bo$41bo2bo$42b3o18$21bo$20bo$20b2o$21bo7$36b3o$35bo2bo$
35bo$34b2ob2obo$34b2obo2bo$38bobo$38bo$38b2o$35b2obo2$37bo2bo$40b2o$
35bo2bo2bo$35bo5bo$37bo2b2o$39b2o2$33b3o$35bo$32bobo$31bo2bo$34bo!
29c/73

Code: Select all

x = 11, y = 46, rule = B2n3-ek4cey8/S2-in3-a4ikqy
bo7bo$b2o5b2o3$3b2ob2o$4bobo$3b2ob2o17$2b3ob3o$bo2bobo2bo$b2obobob2o$o
b2o3b2obo3$bobo3bobo$b2o5b2o$2bo5bo3$4bobo$bob2ob2obo$bo2bobo2bo$b3o3b
3o$b3o3b3o4$2bo5bo$bobo3bobo$obobobobobo$3bo3bo!
sorry I can only speak Japanese, English is made by machine translation
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » February 12th, 2023, 5:44 pm

Another new odd-period Holstein oscillator, which is p17 and has C4_4 symmetry. It was found in a C2_4 apgsearch haul.

Code: Select all

x = 10, y = 10, rule = B35678/S4678
2bo2bo$3b2o$2bob4obo$2b5obo$ob7o$b7obo$bob5o$ob4obo$5b2o$4bo2bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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bibunsekibun
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bibunsekibun » February 13th, 2023, 6:38 am

5c/128

Code: Select all

x = 4, y = 3, rule = B34cj5k/S23-c4e6c
ob2o$o2bo$3o!
sorry I can only speak Japanese, English is made by machine translation
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Yoel » February 14th, 2023, 1:14 am

A variety of a rule with natural W110 replicators originally posted by iNoMed that has a natural floating gun (an exotic diagonal rake), spaceships and puffers.

Code: Select all

x = 34, y = 27, rule = B2ein3acikq4aeinw5kqr7e/S01c2-kn3ijry4citwy5aeiq7
8$20bo$27bo$25bo$26bo$15b2o$15bo7b2o$15b2ob3ob3o$16bobo3b3o$18bo6bo!

Code: Select all

x = 61, y = 43, rule = B2ein3acikq4aeinw5kqr7e/S01c2-kn3ijry4citwy5aeiq7
13$22bo$20bob2o$20bob2o3bo$29b3obob2o$23bo2bobo5bo3b2o$19bo3bobob5o2b
2o3b2o$23bo2bobo5bo3b2o$29b3obob2o$20bob2o3bo$20bob2o$22bo!

Code: Select all

x = 12, y = 20, rule = B2ein3acikq4aeinw5kqr7e/S01c2-kn3ijry4citwy5aeiq7
2$4b2ob2o$6bobo$7b2o8$5bob2o$6bobo$4bo2b2o!

EDIT:

Now, this is esoteric: the original rule surprisingly turned out to be apgsearchable and it has natural W110-based oscillators:

Code: Select all

x = 52, y = 89, rule = B2ei3aci4aei5kqr7e/S01c2-kn3ijry4citwy5aeiq
10$13bo$15bob2o14b2o$14bob2o15bo$15bob2o14b2o$13bo13$28b2o2b2o$28bo3bo
$28b2o2b2o2$16bo11$16b2o2bo8bo$18b2obob2o$16b5obobo$18b2obob2o$16b2o2b
o8bo13$17b3ob3o$19bo3bo$17b3ob3o2$26bo$26bo$26bo!
By using the common W110 agar (the one actually used in the TC proof) we can extend such oscillators indefinitely, always with the period of 56:

Code: Select all

x = 306, y = 31, rule = B2ei3aci4aei5kqr7e/S01c2-kn3ijry4citwy5aeiq
9$43bo8bo2b2o7bo7bo2b2o2b2o2b2o2b2o15bo11bo2b2o7bo2b2o2b2o2b2o2b2o15bo
11bo2b2o7bo2b2o2b2o2b2o2b2o15bo11bo2b2o7bo2b2o2b2o2b2o2b2o15bo11bo2b2o
$48b2obob2o5b2obo4b2obob2o2b2o2b2o2b2o13b2obo8b2obob2o5b2obob2o2b2o2b
2o2b2o13b2obo8b2obob2o5b2obob2o2b2o2b2o2b2o13b2obo8b2obob2o5b2obob2o2b
2o2b2o2b2o13b2obo8b2obob2o$48bobob5o3bobobo3bobob17o11bobobo7bobob5o3b
obob17o11bobobo7bobob5o3bobob17o11bobobo7bobob5o3bobob17o11bobobo7bobo
b5o$48b2obob2o5b2obo4b2obob2o2b2o2b2o2b2o13b2obo8b2obob2o5b2obob2o2b2o
2b2o2b2o13b2obo8b2obob2o5b2obob2o2b2o2b2o2b2o13b2obo8b2obob2o5b2obob2o
2b2o2b2o2b2o13b2obo8b2obob2o$43bo8bo2b2o7bo7bo2b2o2b2o2b2o2b2o15bo11bo
2b2o7bo2b2o2b2o2b2o2b2o15bo11bo2b2o7bo2b2o2b2o2b2o2b2o15bo11bo2b2o7bo
2b2o2b2o2b2o2b2o15bo11bo2b2o!
The question is: would it be possible to use the computational power of Rule 110 and program something non-trivial into such oscillators, to produce unusual periods of something?

It's also worth a note that the sequence of all possible periods may not be trivially computable or it may even be undecidable! Unless there is a procedure that allows to produce a given period based on Rule 110 internal technology.

EDIT2:

Puffer:

Code: Select all

x = 17, y = 21, rule = B2ei3aci4aei5kqr7e/S01c2-kn3ijry4citwy5aeiq
6$3bo3bo$3bo3b2o$b2obob4o$3bo3b2o$3bo3bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rutabaga » February 14th, 2023, 4:42 pm

Code: Select all

x = 6, y = 6, rule = 365/24/7
2.2A$FC2ACF$FC2ACF$FC2ACF$FC2ACF$2.2A!
I know the rule is more simply written as 356/24/7 but that doesn't look as cool. Anyway I found a 4 directional gun that "shoots" vertically both ways, then horizontally both ways, then repeat

Code: Select all

x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pipsqueek » February 14th, 2023, 8:54 pm

some spaceships I found while looking around in an interesting rulespace

8c/47

Code: Select all

x = 18, y = 16, rule = B2e3aijkn4aqr5y/S1c2-i3kn4a
7b2o$5b2obo$3b2o3bo$b2o4bo4bobo$bo8bo2bob2o$2bo7bo5bo$obo3bo4b2o4bo$b
2o3bo6bo3bo$o5bo8b2o$2o3bo$2bobobo4b3o$3bo7bobo$3bo3bo3b3o$3bo2b2o$4bo
b2o$5bo!
5c/42d

Code: Select all

x = 12, y = 10, rule = B2e3aijkn4aqr5k8/S1c2-i3kn4a
b3o$o2bo$2o2bo$2b2o2$11bo2$7bo$5b2o$5b2o!
5c/11

Code: Select all

x = 14, y = 11, rule = B2e3aijkn4aqr5kny8/S1c2-i3kn4a
12bo$10bo2bo$10bo2bo$b2o$o10b2o$2o$2o$b2o4bo$b3o3bo$2b2o2bo$4b2o!
5c/17d

Code: Select all

x = 18, y = 31, rule = B2e3aijkn4aqr5kny8/S1c2-i3kn4a
12bob2o$9b2o5bo$12bo2bobo$8bo6bobo$14bo$14b2o$10bobob2obo$10bobobobo$
11b2o2bobo$11b2o4bo$13bo2bo$13bobo$8b4o$7b2o3b2o$7bo2b4o$7bo$8bo$10bo
3$6b2o$4bo2bo$5b3o$5b2o4bo3$b2o$o2bo$obobo$bo2bo$2b2o!
maybe this oblique rake could be corderized

Code: Select all

x = 7, y = 6, rule = B2e3aijkn4anqr5kn/S1c2-i3kn4a
4b2o$3bo2bo$o5bo$bo3bo$bob2o$b2o!
EDIT: c/12

Code: Select all

x = 2, y = 4, rule = B2e3aij4aqr5y67/S1c2-i3kn4a
2o$o$o$2o!
Last edited by pipsqueek on February 15th, 2023, 9:36 pm, edited 1 time in total.

Code: Select all

x=17,y=16,rule=B3/S23
3bo3bobo2bob2o$bobo4bo4b4o$bobo5bobo2b3o$b2obob2o3b2o$3o4b2ob2o2b2o$4b
o4bo$4b2obobob2ob3o$3ob3o2b2o$b3o2bobobo5bo$o3b2o3bobo2b2o$4bo3bob2o3b
o$2obo2bobobo2b2o$3b3o5bo2b2o$2obo4bo2bob2o$o3bob2obo3b2o$2bo8bobobo![[ STOP 3 GPS 4 ]]
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » February 15th, 2023, 9:15 pm

p21 oscillator in Holstein, the fourth known odd-period oscillator.

Code: Select all

x = 25, y = 25, rule = B35678/S4678
11b3o$7bob7obo$7bob7obo$6b13o$6b13o$5b15o$3b19o$b23o$3b19o$b23o$b23o$
25o$25o$25o$b23o$b23o$3b19o$b23o$3b19o$5b15o$6b13o$6b13o$7bob7obo$7bob
7obo$11b3o!
EDIT: Another p5, a p7, and a p27.

Code: Select all

x = 19, y = 12, rule = B35678/S4678
8b3o$4bob7obo$2bo3b7o3bo$2b15o$19o$ob15obo$ob15obo$19o$2b15o$2bo3b7o3b
o$4bob7obo$8b3o!

Code: Select all

x = 18, y = 16, rule = B35678/S4678
8b2o$7b4o$3b12o$4b10o$2b14o$b16o$b16o$18o$18o$b16o$b16o$2b14o$4b10o$3b
12o$7b4o$8b2o!

Code: Select all

x = 16, y = 9, rule = B35678/S4678
3b10o$4b8o$2b12o$b14o$ob12obo$b14o$2b12o$4b8o$3b10o!
EDIT2: p9.

Code: Select all

x = 21, y = 14, rule = B35678/S4678
7b7o$4bob4ob4obo$5b11o$2bob13obo$4b13o$2b17o$21o$21o$2b17o$4b13o$2bob
13obo$5b11o$4bob4ob4obo$7b7o!
EDIT3: There is a p33 rotor in this rule, but I have not found a stabilization that is not a trivial higher-period oscillator.

Code: Select all

x = 27, y = 18, rule = B35678/S4678
10b2o3b2o$7b3o2b3o2b3o$4b19o$2bob19obo$3b21o$b25o$b25o$b25o$27o$27o$b
25o$b25o$b25o$3b21o$2bob19obo$4b19o$7b3o2b3o2b3o$10b2o3b2o!
EDIT4: True-period p25, with p5 stabilization.

Code: Select all

x = 51, y = 14, rule = B35678/S4678
10bo13b3o13bo$9bobo2b10o3b10o2bobo$6bob35obo$4bob39obo$2bobob39obobo$
3b45o$ob47obo$ob47obo$3b45o$2bobob39obobo$4bob39obo$6bob35obo$9bobo2b
10o3b10o2bobo$10bo13b3o13bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pzq_alex » February 16th, 2023, 7:23 am

LaundryPizza03 wrote: ↑
February 15th, 2023, 9:15 pm
 EDIT4: True-period p25, with p5 stabilization.

Code: Select all

x = 51, y = 14, rule = B35678/S4678
10bo13b3o13bo$9bobo2b10o3b10o2bobo$6bob35obo$4bob39obo$2bobob39obobo$
3b45o$ob47obo$ob47obo$3b45o$2bobob39obobo$4bob39obo$6bob35obo$9bobo2b
10o3b10o2bobo$10bo13b3o13bo!
A p25 cannot be pseudo-periodic (which I assume means "trivial") since there are no two numbers smaller than 25 which lcm to 25 (a property of prime powers).
\sum_{n=1}^\infty H_n/n^2 = \zeta(3)

How much of current CA technology can I redevelop "on a desert island"?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rutabaga » February 16th, 2023, 11:56 am

Code: Select all

x = 23, y = 14, rule = 7e/2/3
2A.3A.2A.BA$2BA2BAB.2BA.BA$A.A.A.A2B2.2A.BA$A8.A.B2.A.BA.BA$2B6.B2.A2B
2.A.BA.BA$8.A3.2A3.BA2.BA$.B4.2B$2.A3.A$2.AB4.B$.B.A3.BA$.AB3.BA$2.AB
2.A$3.A2B$4.2A!
breeder in a brian's brain ripoff

Code: Select all

x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by NimbleRogue » February 16th, 2023, 9:11 pm

pipsqueek wrote: ↑
February 14th, 2023, 8:54 pm
 some spaceships I found while looking around in an interesting rulespace
Related Rule

Code: Select all

x = 347, y = 75, rule = B2e3aijkn4aqr5y6i/S1c2-i3kn4a5k7e8
14$32b2o$31bo2bo$30bo3bo$31bo2bo80b4o$31b3o81bo2bo$114bo4bo$115bo2bo$
116b2o30$282b3o$282bo2bo48b2o$232bo2bo15bobobobo18b4o3b3o23bobo2bo17b
2o2b2o$233bobo16b2ob2o19bob2o30bo3bo17bo4bo$233bo2bo17bo21bo33b2obo17b
o6bo$281b2o29bo18bo6bo$254bo22bobob2o49bo4bo$277bobo52b2o2b2o$334b2o!
Unrelated, have I posted this ship?

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x = 47, y = 58, rule = B3aeijr4j5y6ci/S2-ci3-ay4einrtyz5acjn6ce8
2$7bo$5b3o$6bob2o$8bob2o$11bo$7bo3bo$7b4o$8bo14$4b2o$4b2o$2o$o$2obo$b
3o$2bo!

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x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

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#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » February 16th, 2023, 11:54 pm

Assorted B1e photons without survival.

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x = 29, y = 9, rule = B1e2ci3-acei4acnqrtz5ijnqy78/S
6bo4bo3bo6bo3bo$o3bo8bo3bo5bo3bo$bo3b2o4b2obo7bobo2bo$obo12b3o7bob2o$
2b3obo4bobo8bo4bo$17bo5bobo2bo$14b2o6bobo$13bobo8b3obo$13b2o!

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x = 5, y = 5, rule = B1e2ci3ry4kr5in6a/S
o3bo$2bo$2ob2o2$obobo!

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x = 20, y = 7, rule = B1e2ci3-acei4cnqrtz5ijnqy78/S
o3bo3bo10bo$bo5bo5bo3bo$obo3bobo3bo3bo2bo$3bobo6bo4bo$12bo4bobo$13b2o
2bo$16b2o!

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x = 20, y = 8, rule = B1e2ck3cjnqr4ijqrtwz5ackn6aen/S
6bo6bo5bo$bo3bo8bo3bo$o4b2o6bob3obo$2ob3o8bo3bo$o2bobo2bo5bo3bo$5b2o$b
obob2obo6bobo$5b2o!

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x = 6, y = 6, rule = B1e2cik3-en4ijkqwy5aekry6ck7e8/S
bo2bo$ob2obo$o4bo$2b2o$o4bo$2b2o!

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x = 9, y = 7, rule = B1e2-ae3-eikq4ejknz5acir6a8/S
2bo2bo2bo$3b2ob2o$2bo5bo$2bo3bo$5o$obo3bo$b4o!

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x = 15, y = 7, rule = B1e2-ae3aeq4jkqtyz5aijry6ace7c8/S
o2bo4bo2bo2bo$2bobo5bobo$ob3o3bob3obo$4bo7bo$ob2o4b3obobo$9bo3bo$11b2o
bo!

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x = 20, y = 8, rule = B1e2c3-eikq4-ijw5-aenq6an7c8/S
5bo9bo$4bobo6bo$3b2obo8bobo$bo2bo3bo4bobo3bo$obo3bo8bobo$obobobobo4bob
obobo$obo12bobo$b2o13b2o!

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x = 16, y = 7, rule = B1e2-ae3acekr4cjnqwz5acik6-kn/S
3bo2bo4bo$5bobo7bo$o2bo2b2o3bo$4bo2bo5bobo$o5b2o$2bobo2bo$5b2o!

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x = 7, y = 3, rule = B1e2-ae3acekr4acjnqwz5acik6-kn/S
o5bo2$obobobo!

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x = 7, y = 3, rule = B1e2c3c4a5y/S
o5bo2$obobobo!

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x = 5, y = 4, rule = B1e2ck3c4a5y6a/S
4bo$o$4bo$obo!
EDIT:
Another example, from Saka's "tank" rule from 2018:

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x = 6, y = 4, rule = B1e2ck3jnqr4-acknw5ajny6-i7e/S
o4bo2$ob2obo$2b2o!
Also one minimal example (another 5-cell solution is in the mix above):

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x = 5, y = 5, rule = B1e2cn3c5y6a/S
4bo2$o3bo2$obo!
2c/4o in B1e without survival:

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x = 9, y = 5, rule = B1e2cn3-aij4acjntz5ajnqy6cn78/S
3bobo$o2bobo2bo2$obo3bobo$2b5o!
c/4d (and another p2 photon) in B1e without survival:

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x = 19, y = 9, rule = B1e2-ae3-cijy4aeqrtwy5-iky6ek7e8/S
2bobo$4b2o6bo2bo2bo$obo3bo6bo3bo$4b2ob2o3b2o3b2o$2obo4bo4bo3bo$bobobob
2o3b2o3b2o$2bo$3bobobo4bo5bo$3b3o8bobo!

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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