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Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 8th, 2023, 11:40 pm
by PHPBB12345
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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 8th, 2023, 11:42 pm
by breaker's glider gun
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$7bo6bo20bo6bo!
AKA Langton's ant.
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 9th, 2023, 1:07 am
by NimbleRogue
Big Glider
Code: Select all
x = 4, y = 4, rule = B2e3aiy4cz6cin/S023-cekr4ce
b3o$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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 9th, 2023, 2:32 am
by confocaloid
Even though there are no sample soups on Catagolue for this particular rulestring, the Catagolue object page says that the oscillator works in "multiple rules, from b3aijqs2aik3a4a through to b2cin34-aw56-k78s0234-nqr56-ac78". In particular, it works identically in B3/S234a (
the object page). There is a sample soup for this oscillator in b3s234a/D8_1, 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).
edit: reworded for clarity
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 9th, 2023, 6:57 am
by rutabaga
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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 9th, 2023, 10:59 am
by affamatodidio
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.
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 10th, 2023, 3:16 am
by LaundryPizza03
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!
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$21b2o5bo25b2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 10th, 2023, 7:24 am
by bibunsekibun
Pseudo Pulsar Sequence
Code: Select all
x = 3, y = 7, rule = B3-c5y/S23-ck4n5ky
3o$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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 10th, 2023, 12:21 pm
by LaundryPizza03
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!
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$3b3o16b2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 11th, 2023, 6:46 am
by bibunsekibun
(3,15)c/66 Puffer
Code: Select all
x = 4, y = 3, rule = B34ey6i/S23-c4t
2o$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$2b2o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 11th, 2023, 10:41 am
by rutabaga
Code: Select all
x = 21, y = 31, rule = 6/2/3
.A17.A$.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$10.2A!
This rule has a lot of rakes, breeders, etc. and it's probably pretty well known, but being the noob I am, I'm not sure.
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 11th, 2023, 11:18 am
by pipsqueek
rutabaga wrote: February 11th, 2023, 10:41 am
Code: Select all
x = 21, y = 31, rule = 6/2/3
.A17.A$.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$10.2A!
This rule has a lot of rakes, breeders, etc. and it's probably pretty well known, but being the noob I am, I'm not sure.
that rule is not well known. but a very close relative known as
Brian's Brain (/2/3) behaves very similarly
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 11th, 2023, 12:58 pm
by rutabaga
pipsqueek wrote: January 9th, 533114, 5:14 pm
rutabaga wrote: April 8th, 55084, 8:01 am
Code: Select all
x = 21, y = 31, rule = 6/2/3
.A17.A$.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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 11th, 2023, 7:50 pm
by NimbleRogue
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$2bob3obob
obob3obobob2o3bobob2o2b3o2bobo4bobo3bo5b3o2b2o2bo2bo3b2ob4ob2obobo2bob
obo3bobob2obo4bo4bobo2b4obo2bo2bob3obobo3bobo$ob2ob5obo2b3o2bobo3b3o5b
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
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5ob2obob4o2bo2bo2bo4b2o3bo2bo2bob2ob2ob3o3b2obobobob2ob4ob2obob2o2bob
2o4b2ob4o2bobobob2o2bobob2obo2b3o2b2o4bob3o4b2o3bobob2o$6o2bobo2b3ob3o
5b2o2b2o3bobo4bob2ob3obo2b4obo3b3o5b2ob6o3bob2o2b4obobobob4obobob2o5b
5o2bo2b2o3b3obobobob2ob4o$bo4b2obobo3b5ob3o3b4obo2bo2bob4o2bo2bo3b2obo
bo3b3o2bo2bobo2b2ob2ob2o2bob3obobo2b2obobo2b2o3bo2bob2obobo2bobo6bo3bo
bo2b3o2bo$5ob2ob2ob3o4bo2b2o2b2o2b3o3b3ob2ob2o2bo2bo2bo5b2ob2o5bo2b4ob
o2b2obobo8bobob2obobobobo4bo2b2ob2ob2obo4b4ob4o3b3ob2o$bo3bobobob3ob3o
3b4o3bo2bob2o2b2o2bo2bobob5ob2o3bobobob4o2bobobob2o4b2o2b4ob2o2bobob2o
bo2b3o2bo6bob12obobobo3b3obo$bob2obobo3b2o3b2ob2o4b3obob2obobo2b2o3bob
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o3b3ob3obobo2bobob2o2bobo5b2obo9b2o2b3o2b2obo2bo4bo4bo$2b2o2bobo2b3o5b
o3bob3o5bo4bo4bo2bobo3b5obobo2bo2bob4o5bobo3bo2bob3obob2obo7bob6o2b2o
2bo2b2o2bo2bo3b2ob2ob2o2bob2o$o2bob2o6b2o6b3o3bo2bobobo5bobobob2o4b2o
2b2o2b3o2bo2b5o6b3obob2ob2obobob2ob2ob2o5b4ob2ob2o2bobobobo2b3o2bob2o
3bo3b2o$bobo2bo3b2obobobo2b2o6bob2ob2obob2obob3obo2b2o3b2o3b2obobo4b3o
bo2bo5b2o5b3o2bo2b8o2b3ob2o2bobobo3b2o2b2ob2obo2bo2bo4bo$bo3bobo2b4o2b
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bo4bo2bobobo3bob2o4bobo3b2o$b3obo2b2obo2bo2b4o3b2o3bo2b2o3b3o3b14obob
2o2b3obo2b3obo2b2obob3o2b4o2b3o3b2ob3ob2ob4obob2o2bo2b4o2b3ob3ob4o4bo$
5o2bo2bob2o2bo3bo3b3ob3obo2bobo4bo3bo5bo2b2obobo3bob2o3b2obo3b3obo4b6o
b2ob3o3b4obo2bob2ob2obobobob3ob3ob3o2b2o2bobobo$4o2bo5bob3o2bob2obob2o
2bobo2bob2o2bobobo3b2o3b5ob2obob2o3bobo4bob2o2b3ob3ob2o2bo2b3o2bobobo
2bo2bob4o4bo6bob2o2b3ob3obo$bobob5obob4o5b5ob7ob3ob2obobo2bobo2bob3o2b
3ob2ob2obob3o2b2ob4ob2o3b3o3b3ob6ob3o3b2o2bob4obo4bo4bo2b3o2bobobo$obo
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3b3obob2o2bo5b2o2bob7ob5obobobob2obobo$2bo3bo5bo2bobob2o6b2obo2bo2b2ob
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bo2bob2obo2bo2bo2b3o2b2o$5b2obo2b5ob4ob2obo5bo2bo3bobobob2o2bobob3obo
6b2o4bobo3b2o2bo3b2o2bo2b4o2b2ob2o4b4obob6obob7o2bobo2b3obo2b2ob2o$4bo
bo2bob3obo2bo2b3obo3bob5obobo3b2obob3o2bo4bo2b2o2b7o2bobo3b2o3bo2bobo
2bo2b2obo2bo2b5ob2o4bo2bo3b2obob2obob2o5bo$3b2obobo3b4o2bobo8b4obo2bo
5bo5b4obobo2bo2bob2o2bob2o2b3obo3bobob7o3bobobobo3b3ob2obo6bo3bo2b4ob
2ob6ob3o$obob4ob2ob6ob2obob2obobo3b6ob2o2bo3b3obob6ob2obobo2bo2b2ob4ob
3obo2b2obob2obob2o4b2o3b4o2bo2bob2o2bobob2o2bobo5bo2b2o$b3obo3bo4b2obo
6b3ob4obob4o2bob3ob2o2bobob2ob2ob7obo5bob5obobobo2b3obob2obobob4o2bo3b
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5b2o2b2o3b4ob2ob2o4b4o3b2o5bob5ob4o6bo4b4o4b3ob3o3b3obob2obo$2o2b4o4b
2o2bo3b2o2bo2b2obo3b2obo2b3o3bob6o6b3o2bobo4bo2b2obob2o2b2o4b5o2b3ob2o
2bobo2bob4ob3o3b2ob2ob2obobo3b6obo$o9bobob3o2bob6o7b3o2bo6b3o8bob8o2bo
bo3b3o3bo6b3obob4o3bob5o3bo2bob3obo6b2ob2ob2o2bobo4b2o$3obobob3obob7ob
2ob2o2bo2b2o2bob2obo3bo3bob4o3b2obo2b2ob2o5b2obobobobo2bob2obobobob3o
2b2obo2b3ob3o3b2o2b2o2b7obobo2bobobo2bo$bo2b4o2b2o6bobo4bo2bob3obo3bo
2bobo2b2ob2o3bob2ob4o5b2obo2b2ob2ob3ob2o3b5o3bo4b3o2b5ob3o2bob4o4b5o3b
4ob6o$2b12ob3obobo2b3ob4o3bob2ob3ob2o2b3ob2obobo2b3o2bobo4b3ob2obo3bo
6b5ob3o2b2o2b2ob4ob2o2b2o2b4o2b2o2b2obo2bobo2bo$3o2bo2bobo4bo2bobo3bob
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6ob2o2b2o3bobob5o4bo$2bo2b2o3b2ob4o3b2obo2b5obo2bo2bob2ob7o2b6o2bobob
4obo3bob2o3bobobobo2bob2obo2bo2b2o2b7o2bo5bob5o2b4o2bo4b8o$b2ob4o2b4o
5bo2b2obobo2bobob3obo8b2ob2obo4b5obo2b3obob2o2bobobo2bobobobobob3obo2b
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3bo2bobo2b2obo2bob4o9bo2bobobo3bobo4b2ob2o2b4o3b2ob2o3b2o2b3obobobob2o
5b2ob3ob2o$bo5b5o2bo3bobob2o2b6ob2o4b2o2b4o4b3obob2obo4bob6o2b3obo2bo
5bo2b2ob2o3b5obobo2b4obobo5bo2bobo2bob4ob2obobob2o$o2b2ob2o4bo9bo2b2ob
2o2bob3obobob4o2bo2b2ob2o4b7o4bobob2o2b3o2bo5bob2o3bobo2bo2bo6b5ob2obo
2b3o6b2obobo4b2o$bob4o3b4o2bo8bo2b6o2bo2b2o3bo2b2o5b3ob2o2b4o2bo7bobo
3b3o2bo3bo2bo2bo2bo2bobo3b4o3bobob2o2b6ob2o2bo9b2o$4b2o4b2o5b4o4bo5bob
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2obo2bo2bo3b4o3b4o2b2o$ob2o4b2o2bo2b4o2b2obobobobobob7o2bo3b2ob2obobo
3bo2bobo3bo2b2o3bob2o4bo3b4o3b4obob3ob3o3b3obo4bob2o7b4o3bob2obo$o2b6o
2bo2bo2bobobobo3b4o3bo2b4o2b3ob4o6bo4b2ob2obo4bo2bo7bo5bob3obob2ob2o4b
o5bo6bob2obobo4bobobo2bobo3b2o$3b2o2b6obo3bobobob5o3b4ob5o2bo2bo2b2obo
b2obob2obo2bo6bo3b2o5bob3o2bo2b2obo2b2o3bobobo4bo2bo2b2o2bo2b2obo3bo2b
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3b2obo2bob2obobobo2b2ob4o2bo2b2o2bo5b2ob2o4bo3bo4bobob2obob2o$o2b2o2bo
4b2obo2b4obob2o2b2ob2obo4bob2obobo2b2o3bo4b3o3bob10ob2ob7ob2ob3ob2o7bo
2b3o2b2ob2o2bobobo2b4o3b2ob2obob2obo$bo4b4o5bobo6b2o2b3o4bob2o6bob8o4b
4o3b4ob4obo2b2ob3ob3o4bobo4b2ob2o2bo4bo2b2ob4o3b2o3b6o3b2o2bob2o$3bo3b
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2ob2o2bobo2b2ob3obo3bobo3bo2bo$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
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3o4bobo2b2o5b2o2bo6b2o3bo3b3o3b2o2b2o4b2obo4bob3o2bo3bo3bobo4bo2b2obo
2bob2obobob5o3b2obob4obob6o2b2o2b4o$o6b2ob2o2bo2b4o5bobo4bo2bobo2b6ob
2o4b2obo2b4o2b2o3b2o6bo3bo6b4o2bobo3bob2o2b2ob4ob5o3bo5b2obob2ob3obob
2o$4o2b2ob2o2b2obo2bobobo3bo3b2o2bobobo2bobo2bo3b2obobo7bobo8b6o3b2o3b
obobo2bob2ob3o4bob5obo2b4obob6obobo2b3ob3obo$3ob2o5b2o7bob2ob2obo2bo5b
6ob3o3bo2b2obob3ob3ob2o3b2o2b3o2bo5bo3bobobo2b2o2b5ob5o3bobobo4bo3bo5b
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3b3ob2obob2ob2obobo2bo3b4obob3obo2bo2b2o2b4obo3bo6bob3o2b3o2b2o$b7o3b
2o2b3o4b2obo2bobo3b2o4bo2b4o3b2o6bobobo2b2ob3o3b2o2bob5ob2obo2bo2b4o4b
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b2ob2o$o3bob3ob2ob5o2b4obob3ob3obobo4b4o3bo3b2obo4bo2b2o3b2obobob4obo
2bobobo6b2ob2o4bob4o3b2ob3o2bo3bob2o2bo4bobo3bob2o$3o2b3ob4o2bob2ob2o
4b2ob3ob2obo2bo3b3o2bo6bobob8o3b6o2b3ob5ob3ob3o3bo3b5o4b2ob2o2bob3ob3o
b2ob9ob6o$obob2ob4ob2o3bobobo2b2obob2o3b3ob5o3b2obob5o3b2o3bo3b2o5bo9b
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b2ob3obob3obo5b3ob3obo2bo$3o3bo2b2obobo11bo2b2o4bob7obob3o4b5ob3o3b2ob
6obo3bo4b2ob2o2b3ob3o3bob2o4b3o2b3o4b3ob3o2b2ob2o8bo$o3b4o4bo2bo3bo2bo
2bob3o4bo6bo2bob2obo6b6obob3o2b2o2bob4obobo3b2o3b7ob3o2b4ob2ob3ob2obob
2o2b2o2bob2obo3bobob3o$2obob4o4b3o4bo2b2obo5bo4bob3o3bob2ob2o8b3ob2o2b
6o3b7obo6bo4b3obo5bob2o3bobo2b7obo2b3ob2o4b4obo$b6o4bob5obobo2b3obob2o
bob2ob4o3bo3bo2b3o3b4obob2ob2obobob5o3b2obobo3b4o2b2ob2o2b2ob2obob6o2b
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b3ob2o3b2ob4o2b3o3bob2ob3ob2o2bob3o3bobo2b3o2bob6ob3o3bo2b3o7bo$o3b2o
3b2o3bo2b2obobobobob5o8b4o3b3obo2bo3b4o2bo5b2obob4o2bo4b2o3bobo2b6o2b
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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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 12th, 2023, 1:19 am
by bibunsekibun
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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 12th, 2023, 5:44 pm
by LaundryPizza03
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$4bo2bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 13th, 2023, 6:38 am
by bibunsekibun
5c/128
Code: Select all
x = 4, y = 3, rule = B34cj5k/S23-c4e6c
ob2o$o2bo$3o!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 14th, 2023, 1:14 am
by Yoel
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!
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$3bo3bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 14th, 2023, 4:42 pm
by rutabaga
Code: Select all
x = 6, y = 6, rule = 365/24/7
2.2A$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
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 14th, 2023, 8:54 pm
by pipsqueek
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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 15th, 2023, 9:15 pm
by LaundryPizza03
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!
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!
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!
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!
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!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 16th, 2023, 7:23 am
by pzq_alex
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).
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 16th, 2023, 11:56 am
by rutabaga
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
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 16th, 2023, 9:11 pm
by NimbleRogue
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?
Code: Select all
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$2bo!
Re: Miscellaneous Discoveries in Other Cellular Automata
Posted: February 16th, 2023, 11:54 pm
by LaundryPizza03
Assorted B1e photons without survival.
Code: Select all
x = 29, y = 9, rule = B1e2ci3-acei4acnqrtz5ijnqy78/S
6bo4bo3bo6bo3bo$o3bo8bo3bo5bo3bo$bo3b2o4b2obo7bobo2bo$obo12b3o7bob2o$
2b3obo4bobo8bo4bo$17bo5bobo2bo$14b2o6bobo$13bobo8b3obo$13b2o!
Code: Select all
x = 5, y = 5, rule = B1e2ci3ry4kr5in6a/S
o3bo$2bo$2ob2o2$obobo!
Code: Select all
x = 20, y = 7, rule = B1e2ci3-acei4cnqrtz5ijnqy78/S
o3bo3bo10bo$bo5bo5bo3bo$obo3bobo3bo3bo2bo$3bobo6bo4bo$12bo4bobo$13b2o
2bo$16b2o!
Code: Select all
x = 20, y = 8, rule = B1e2ck3cjnqr4ijqrtwz5ackn6aen/S
6bo6bo5bo$bo3bo8bo3bo$o4b2o6bob3obo$2ob3o8bo3bo$o2bobo2bo5bo3bo$5b2o$b
obob2obo6bobo$5b2o!
Code: Select all
x = 6, y = 6, rule = B1e2cik3-en4ijkqwy5aekry6ck7e8/S
bo2bo$ob2obo$o4bo$2b2o$o4bo$2b2o!
Code: Select all
x = 9, y = 7, rule = B1e2-ae3-eikq4ejknz5acir6a8/S
2bo2bo2bo$3b2ob2o$2bo5bo$2bo3bo$5o$obo3bo$b4o!
Code: Select all
x = 15, y = 7, rule = B1e2-ae3aeq4jkqtyz5aijry6ace7c8/S
o2bo4bo2bo2bo$2bobo5bobo$ob3o3bob3obo$4bo7bo$ob2o4b3obobo$9bo3bo$11b2o
bo!
Code: Select all
x = 20, y = 8, rule = B1e2c3-eikq4-ijw5-aenq6an7c8/S
5bo9bo$4bobo6bo$3b2obo8bobo$bo2bo3bo4bobo3bo$obo3bo8bobo$obobobobo4bob
obobo$obo12bobo$b2o13b2o!
Code: Select all
x = 16, y = 7, rule = B1e2-ae3acekr4cjnqwz5acik6-kn/S
3bo2bo4bo$5bobo7bo$o2bo2b2o3bo$4bo2bo5bobo$o5b2o$2bobo2bo$5b2o!
Code: Select all
x = 7, y = 3, rule = B1e2-ae3acekr4acjnqwz5acik6-kn/S
o5bo2$obobobo!
Code: Select all
x = 7, y = 3, rule = B1e2c3c4a5y/S
o5bo2$obobobo!
Code: Select all
x = 5, y = 4, rule = B1e2ck3c4a5y6a/S
4bo$o$4bo$obo!
Another example, from
Saka's "tank" rule from 2018:
Code: Select all
x = 6, y = 4, rule = B1e2ck3jnqr4-acknw5ajny6-i7e/S
o4bo2$ob2obo$2b2o!
Also one minimal example (another 5-cell solution is in the mix above):
Code: Select all
x = 5, y = 5, rule = B1e2cn3c5y6a/S
4bo2$o3bo2$obo!
2c/4o in B1e without survival:
Code: Select all
x = 9, y = 5, rule = B1e2cn3-aij4acjntz5ajnqy6cn78/S
3bobo$o2bobo2bo2$obo3bobo$2b5o!
c/4d (and another p2 photon) in B1e without survival:
Code: Select all
x = 19, y = 9, rule = B1e2-ae3-cijy4aeqrtwy5-iky6ek7e8/S
2bobo$4b2o6bo2bo2bo$obo3bo6bo3bo$4b2ob2o3b2o3b2o$2obo4bo4bo3bo$bobobob
2o3b2o3b2o$2bo$3bobobo4bo5bo$3b3o8bobo!