Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 7th, 2021, 10:56 am

(5,1)c/14:

Code: Select all

x = 13, y = 7, rule = B35e6ek/S23-a4inqtz5kn6a
6bobo$4bo3b2o2$b2o2bo2bo3bo$2o3bo3bobo$b2o3bo$2bo4bo!

EDIT: c/10 with a strong front spark:

Code: Select all

x = 7, y = 7, rule = B35e6ek/S23-a4eiqtz5k6a
3bo3$3bo$2bobo$3ob3o$2bobo!


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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Schiaparelliorbust » January 7th, 2021, 11:01 am

wwei23 wrote:
January 7th, 2021, 10:56 am
EDIT: c/10 with a strong front spark:

Code: Select all

x = 7, y = 7, rule = B35e6ek/S23-a4eiqtz5k6a
3bo3$3bo$2bobo$3ob3o$2bobo!

Blinker pushalong:

Code: Select all

x = 16, y = 19, rule = B35e6ek/S23-a4eiqtz5k6a
6$7bo$7bo$7bo3$5b3o$6bo$4bo3bo$4b5o!
Hunting's language (though he doesn't want me to call it that)
Board And Card Games
Colorised CA
Alien Biosphere

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 7th, 2021, 11:05 am

5c/24d:

Code: Select all

x = 12, y = 12, rule = B35e6en/S23-a4eiz5k6a
3bo$2b3o$bo2bo$2o2bo$b3o4b2o$6b4o$5bo$5bo$4b2o$4b2o4bo$9bobo$10b2o!

Edit: P28:

Code: Select all

x = 4, y = 4, rule = B34enqy5ace6en/S23-a4eiqz5k6ae
b3o$o2bo$o2bo$3o!

Edit 2: P16:

Code: Select all

x = 7, y = 7, rule = B34enqy5ace6en/S23-a4inqt5k6ae
b3o$o2bo$o2b2o$2ob4o$2b2o2bo$2b5o$4bo!

Repwave:

Code: Select all

x = 3, y = 3, rule = B34enqy5ace6en/S23-a4inqt5k6ae
3o$obo$obo!

Edit 3: 12c/64:

Code: Select all

x = 4, y = 3, rule = B34enqy5ekqr6ekn/S23-a4eiqtw5knr6ae
obo$2obo$o!


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iNoMed
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by iNoMed » January 8th, 2021, 12:01 pm

Got a bit carried away when finding spaceships in this rule, I was somehow able to find eight speeds (c/2o, 2c/5o, c/3o, c/4o, c/5o, 5c/60d, c/5d, c/4d non-glider) as a result:

Code: Select all

x = 171, y = 28, rule = B34c5y/S234et5y
5b3o16bo15bo14bo11b2o11b2o19b3o37bo26b2o$4bobo16bobo13b4o12bo11bo2b3o
3b3o2bo19bo39b2o26b2o$3b2obob2o12bo3bo11bo3b2o10bobo12bobobobobobo20b
2o42b2o21bobo$2bobobob2o12bobobo11bo5bo25bo2bobo2bo19bo39bobo4bo21b3o$
b2o3bo2bo10b2o5b2o8b3obo2bo8bo3bo12b2obobob2o19bo2bo8b3o25bo2b5o22b2o$
o3bobo2b2o7b2o9b2o6bo5b3o7bob3o13bo5bo19bo3bo8bo26bo3b2o22bobo$3bo13bo
3b2o3b2o3bo13bo6bo14b4o7b4o10b2o4bobo8b2o25bo5bo4b3o$2o19b2obob2o24bo
5bo10bo9bo12b2o5bo7bo25bo2bo6bo3bobo13bobo$17bo5b3o5bo20bo5b2o10bobo3b
obo28bo2bo22bob2o7bo2bo12b4o$21bo2bo2bo25bob2ob2o8b3o7b3o25bo3bo24b2ob
o6b3o2bo8bo3bo$22bobobo31b2o8b2o9b2o20b2o4bobo36b2o2b2o11bo$19b2o7b2o
29bo41b2o5bo22b3obo2bo9bo14bo$21b2o3b2o102b3o3b2o20b2o$19bo3b3o3bo25b
3obo54b3o12bo10bobo4b2o8bobo$19bo9bo26bo34bo22bo13bo10bo6bo14b2o$53b2o
bobo32bo21b2o11bo2b4o6bo2b4o16b2o$54bo2bo33bo19bo13b4obo9bob2o17bo$57b
2o52bo2bo9bo4bo$53bo4bo36bo14bo3bo9bobo3bo9bo2b2o$55bobo28bo4bo19bobo
12bo9bo2b2o$52b2o4bo27bo9bo15bo23bo2b2o$52bo33bo5bobobo36bob2o2bo$91bo
4bo5b3o29bobobo$51b2o41b2o39bobo$93b3o39bo$132b2ob2o$135bo$97b3o33b2o!
There also exists a ridiculously simple figure-eight predecessor, which trivially leads to a 6-glider synthesis:

Code: Select all

x = 53, y = 25, rule = B34c5y/S234et5y
2b2o26bo$2bo25bobo$29b2o2$o$o$o43b2o$o42b2o$45bo3$13bo$13b2o15b2o$31b
2o$7b4o19bo$51bo$50b2o$38b3o9bobo$40bo$39bo3$40bo$40b2o$39bobo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 9th, 2021, 9:59 pm

P34, and a 10c/50 rake in a rule whose mechanics kind of remind me of Space Invaders.

Code: Select all

x = 35, y = 5, rule = B2n3/S23-q4eiz
2bo30b2o$b2o29bobo$3o29bobo$3b2o28bo$3b2o!
EDIT: 3c/148 diagonal:

Code: Select all

x = 4, y = 4, rule = B2n3/S23-q4eyz
b2o$ob2o$obo$bo!
Edit 2: 9c/128d boat puffer:

Code: Select all

x = 14, y = 17, rule = B2n3/S23-q4eqtz
4b2o$4b2o$3o4$11b2o$10bobo$11bo6$12bo$11bobo$11b2o!
Edit 3: (3,1)c/29 and 14c/38 puffer engine:

Code: Select all

x = 5, y = 23, rule = B2n35y/S23-qy4nt
b3o$bo2bo$4bo$bo$2bo$3o15$b3o$o$b3o!
Edit 4: Can the sides be stabilized?

Code: Select all

x = 4, y = 2179, rule = B2n35y/S23-qy4nt
b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o
15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b
3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o
$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o
$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b
3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o
15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b
3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o
$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o
$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b
3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o
15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b
3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o
$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o
$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b
3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o
15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b
3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o
$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o
$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b
3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o
15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b3o15$b3o$o$b
3o15$b3o$o$b3o!
Edit 5: LOL OOPS

Code: Select all

x = 3, y = 4, rule = B2n3-ck5y/S23-qy4nt
bo$obo$obo$obo!
Edit 6: P30:

Code: Select all

x = 6, y = 3, rule = B2n3-ckr5y/S23-qy4nt
ob3o$o4bo$ob3o!
Edit 7: P92:

Code: Select all

x = 4, y = 3, rule = B2n3-ckr5y/S23-qy4nt
2o$b2o$2b2o!
Edit 8: 10c/22:

Code: Select all

x = 7, y = 10, rule = B2n3-ckr5ey/S23-qy4nt
2b3o$bo3bo$bo3bo$2b3o3$b2ob2o$7o$bo3bo$2bobo!
Edit 9: P19:

Code: Select all

x = 8, y = 8, rule = B2n3-kr5ey/S23-qy4cnt
5bo$3bo2bo$4bo2bo$bo3bo$2bo3bo$o2bo$bo2bo$2bo!
Edit 10: 45c/99:

Code: Select all

x = 15, y = 69, rule = B2n3-r5ey/S23-qy4cnt
4bo5bo$3b3o3b3o$4bo5bo$bob2o5b2obo$b2obobobobob2o$3b2obobob2o$b2obo5bo
b2o$b2o9b2o$b3o7b3o$3o9b3o$b5o3b5o$2b3o5b3o$2b2o7b2o$3bo7bo$4bobobobo$
bo4bobo4bo2$2b2o7b2o$4bobobobo$4b3ob3o4$4b2o3b2o$4b2o3b2o9$6bobo$7bo$
5bo3bo3$5bo3bo$7bo$6bobo25$6b3o$5bo3bo$5bo3bo$6b3o!
Edit 11: 10c/22:

Code: Select all

x = 5, y = 21, rule = B2n3-r5ey/S23-qy4cnt8
b3o$o3bo$o3bo$b3o7$b3o$o3bo$o3bo$b3o6$b2o$b2o!

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iNoMed
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by iNoMed » January 13th, 2021, 4:19 pm

...I think I ended up with a few too many speeds in this rule - it's got c/2o, 2c/5o, c/3o, c/4o, c/5o, 2c/16d, c/5d and c/4d:

Code: Select all

x = 111, y = 36, rule = B2ek3-aj5y/S234q
bo10b4ob4o11bo12bo11b2obo3bob2o8b2o6bo13bo$obo28bobo10b4o8bo2b2o3b2o2b
o6bobo5b2obo12bo$obo40bo3bo7b2obobo3bobob2o6b2o5bo3bo8bo3bo$14bo3bo12b
obo7bo14bob2o5b2obo7b2o22bo$bo10b2obobob2o9b2ob2o8bo4bo9bo7bo20b2o8bo
2bo$bo28bo3bo20bo3b2o3b2o3bo16b2o9bo$15bobo12bo3bo9bob2o10bobo3bobo33b
o$12bobo3bobo8bo5bo7bo2bo8bo2bo7bo2bo26bo2b2o$11b2o7b2o8b2ob2o8b3o15bo
bo31b2obobo$12b9o8bobobobo6b2o13bobobobobobo27bo4bobo$11bo9bo9bobo11bo
b2o8bo3bobo3bo31bobobo3bo$12bobo3bobo24bo12bo7bo31bo2b4ob2obo$11b2obo
3bob2o8b2ob2o7bo15bo7bo37bo2bo2bo$10bobo7bobo18bo2b2o12bo2bobo2bo33b2o
bo5bo$11bo9bo20bobo13b2obobob2o41bo$42bo17bo3bo39bo$45bobo8bo3b2ob2o3b
o32b2o$11bo9bo21bo16bobobo$12bo7bo25bobo7bobob5obobo$48bo7b3o7b3o$10bo
2bo5bo2bo22bo16bo$13b2o3b2o25b2o8bo3b7o3bo$44b2o10b2ob2o3b2ob2o$11b2ob
o3bob2o23b2o13bo3bo$13bo5bo25b2o$12bo7bo35bo2bo2bo2bo2bo$57bo9bo$59b2o
bob2o$60bobobo$61bobo$55b4o2b3o2b4o$55bob4o3b4obo2$59bo5bo2$62bo!
Oh yes, and there's even a 8c/20o puffer based on the 2c/5o spaceship:

Code: Select all

x = 15, y = 27, rule = B2ek3-aj5y/S234q
5b2o3b2o$5b2o3b2o$5b2o3b2o2$6b2ob2o$5b2o3b2o$6bo3bo$6bo3bo$4b2obobob2o
$3bo4bo4bo$5b7o$3bo4bo4bo$4bo7bo$2bobo7bobo$2bob2o5b2obo$2b3o7b3o3$12b
o$13bo$bo9b2o$o10bo$10b2o$10bobo$11b2o$10b2obo$11bo!
Edit: In a relative that substitutes B2e for B3a, here are the resultant spaceships (2c/5o, 2c/6o, c/4o, c/5o, c/6d, c/4d):

Code: Select all

x = 108, y = 51, rule = B2k3-j5y/S234q
6bo5bo15bo12bo4b3o4bo13bo17bo2bo12b2o$5bobo3bobo13bobo10b2obo3bo3bob2o
11bobo14bo4bo11bob2o$5bobo3bobo13bobo11bo3bo3bo3bo12bobo14b2o3bo14bo$
4bo2bo3bo2bo25bo13bo12bo13b2o4bo14b2o$5bo2bobo2bo14bo11bo4bobobo4bo8b
2o5b2o8b2ob2o14b2ob2ob2o$3bo11bo11bobo14bo5bo11bobo5bobo7b2o6bo8b2o5bo
b2o$3b2o4bo4b2o12bo10b3o2bo5bo2b3o5b2obo5bob2o11b3o9b2obob2obo$b4o9b4o
25bobo3bobo9bobo3bo3bobo11b2o12b2o$2o4bobobobo4b2o7bo3bo10bob3o3b3obo
7bobo2bobo2bobo8b2o13b2o2b2o$6bobobobo13b2ob2o12bo2bobo2bo14bobo30bobo
$6b2o3b2o30b2o5b2o13b2ob2o25b3o3bo$2obo2b2o3b2o2bob2o7bo3bo13bob3obo
14b2ob2o$4b4o3b4o11bobo2bo12b2obob2o$4b2o7b2o11bobo3bo33bobo$6bo5bo14b
2o16bobobo14bobobobo$27bo2bo14b5o14bobobobo$7bo3bo17b2o12b2obobob2o12b
o5bo$5bo7bo11b2o4bo12bobobobo16bo$4bo2bo3bo2bo10bo4bo11bo2bo3bo2bo11bo
5bo$4bo9bo11b2o2b2o12bo5bo13bo5bo$7bo3bo11b2obo4b2o32bo3bo$4bobo5bobo
9bo4b2o36bo$3b2o9b2o9b4obobo$5bo7bo12b2ob3o$30bo$28bobo$25b2o4bo$24bo
6bo$24bobo4bo$26bobo$24b2o2bo2b2o$31b2o$23bo2b3o2b2o$26bobobo$28bobobo
$25bo2bob2o$25bo2bo2bo$24bobobobobo$26bobobob2o$23b2obobobob2o$22bobob
obobob2o$26bobobo$24bobobobo$25b2obobo$28bob2o$28bo$26bobo$26b3ob2o$
26bobo3bo$27bo3bo$27bobo!
It does appear to be the case that c/2 spaceships cannot actually exist in this rule, which is somewhat surprising given the existance of a perfectly-valid 2c/5 spaceship in the collection...

Edit 2: Stabilised the "repwave" into a (12,2)c/61:

Code: Select all

x = 34, y = 13, rule = B34enqy5ace6en/S23-a4inqt5k6ae
7b3o22b2o$7bo2bo17bobo2bo$10bo12b2o5bo$24bo4bo$23bo2bo2bo$23b2o3bo$24b
o2bo$25bo3$bo$3o$o2bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » January 13th, 2021, 6:20 pm

Would this spaceship be considered 2c/18 or c/18?

Code: Select all

x = 5, y = 3, rule = R1,C0,S2,7,B3,NL
bo$4bo$3b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bubblegum » January 13th, 2021, 6:51 pm

Hdjensofjfnen wrote:
January 13th, 2021, 6:20 pm
Would this spaceship be considered 2c/18 or c/18?

Code: Select all

x = 5, y = 3, rule = R1,C0,S2,7,B3,NL
bo$4bo$3b2o!
I'd say (1,0)c/18.
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wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 16th, 2021, 12:13 pm

Code: Select all

x = 5, y = 5, rule = B2c3-i/S23
2b3o$b2obo$2o$o$2o!
EDIT: 4c/66d:

Code: Select all

x = 3, y = 8, rule = B2n35-anq/S23-q
2bo$2bo$2bo3$o$3o$bo!
"Let's add B5 to LeapLife, except 5n and 5a to allow gliders!"
> more active but not explosive
"Now, let's remove B5e!"
> explodes
Edit 2: P14:

Code: Select all

x = 8, y = 8, rule = B2n35-any/S23-q
obo2bo2$o2bo3bo$2bobo$3bobo$o3bo2bo2$2bo2bobo!
Edit 3: 2c/32 in tHighDryMirrorLeapLife:

Code: Select all

x = 4, y = 9, rule = B2n3-kq4j67/S23-q
2bo$b3o$bo3$bo$obo2$3o!
Edit 4: P32:

Code: Select all

x = 3, y = 3, rule = B2n3-kq4j6/S23-q
bo$3o$o!
Edit 5: Different 2c/32:

Code: Select all

x = 4, y = 9, rule = B2n3-kq4j67/S23-q5n
bo$3o$2bo4$b2o2$b3o!
Edit 6: Fixed edit 5, also a c/16:

Code: Select all

x = 5, y = 3, rule = B2n3-kq4j67/S23-q5q
b3o$o3bo$2ob2o!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » January 16th, 2021, 7:58 pm

bubblegum wrote:
January 13th, 2021, 6:51 pm
Hdjensofjfnen wrote:
January 13th, 2021, 6:20 pm
Would this spaceship be considered 2c/18 or c/18?

Code: Select all

x = 5, y = 3, rule = R1,C0,S2,7,B3,NL
bo$4bo$3b2o!
I'd say (1,0)c/18.
(1,1)c/18 according to lv!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

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bubblegum
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by bubblegum » January 16th, 2021, 8:08 pm

yujh wrote:
January 16th, 2021, 7:58 pm
(1,1)c/18 according to lv!
Has anyone ever actually defined directions on the triangular plane?
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

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iNoMed
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Posts: 611
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by iNoMed » January 17th, 2021, 3:13 pm

It's time to offload some spaceships again!

Starting things off, this rule has got a whopping NINE distinct speeds (c/2o, c/3o, c/4o, c/5o, c/6o, c/6d, c/5d, c/4d and c/3d), but is sadly a little explosive:

Code: Select all

x = 202, y = 32, rule = B3-en/S23-iq4-cjqyz
2b2o3b2o8bo14bo3bo9b2o9b2o7b2o10b2o3b2o27b3o11b2o16b2o22bo22bo$b4ob4o
6b2o14b2ob2o9b2o9bobo5bobo10b2o3b2o25bobobo8b2ob2o10b3o3bobo20b3o20b3o
$o3bobo8bobo16bo11bo10bob7obo9bo7bo20bobobob3o22b2obo3bo2bo18bo3b3o16b
o2b2o$bo2bobo3bo4bo8b3o5bobobo10bo8b2obo5bob2o8bob2ob2obo19b4obo11bo3b
o10b2o5b4o18b2obob3o14bo3bo$bob2obo3bo3b3ob3o2bo7b2o3b2o9b2o8bobob3obo
bo8b2ob2ob2ob2o18bo5b3o12bo10bo30bo2bob2o13bo2bo$4bobobo5bo2bo3bobo7bo
2bo2bo8bo9b2o9b2o35b4o14b3o11b2o28b2ob2o4b2o13bo$3b2obo11bob2o3bo7b3o
20bob2obobob2obo8b2o5b2o19bo5b2o24bo26b3obo5bobo13bo$4bobo16bo36bo3bo
12bo7bo18bo4bobo22b2obo7b2o21bo23b3o$3b2obo13b2o12bo44b2ob2o18bo6bob2o
19bo2bo10bo16bo2bo9b2o16bo4bo$2b3o2bo26b2o44bobo18b2o5b4o32b3o15bo3bo
11bo12bo2bo3b3o$3bobobo26b2o21b5ob5o12bobo16bo3bo3bobo30b6o17bobo6b3ob
obo13bo4bo2b2o$35bo20bo4bobo4bo8bo2bobo2bo10b2o6bo37bo34bo17b2o3bo$37b
4o17bo2bobo2bo13bobo12bobo7b2o32b2o20b3o6bo5b2o21bo$61bobo16bobo11bo4b
o5bo34bo19bo4bo3bo2b2o23b2o$38b3o20bobo13b3o3b3o9b2o2bo62bob2o3bo2b2o$
60bo3bo29bo2b2ob2o2bo34bo20bo2bo2bo3bo$58b2o5b2o29bo2bo60bo5b2o2bo$61b
obo14bo5bo12bobo2b2o54bo4bo2b2o$80bobo15bobo2bo54bob2o3bo$59b3ob3o11bo
2bobo2bo14bobo53bo3bob2o$77bo2bobo2bo13bobo53b4o2bo$80bobo72bo2bo$80bo
bo76bo$77b2obobob2o66b3o3b2o$77bo2bobo2bo71b2o$80bobo71bo3bo$77bo2bobo
2bo66b2ob2o$77bo2bobo2bo$76b2ob2ob2ob2o$75b2o9b2o$76bo9bo$77bo7bo!
In a different rule, there exists a c/5o spaceship with a particularly interesting MWSS-emulating backspark on it:

Code: Select all

x = 36, y = 13, rule = B3-kq6n/S1e2-a3
3bo7bo$5bo5b2o$o6b3obo3b2o10bo$o4bob3o4bo2bo9b2o$5o2bo7bobo7b3o4bo$o2b
o4bobo4b3ob2o2b2o4b4obo$2obo3bo3bo2bo5bo2bo2b2o7bo$o2bo4bobo4b3ob2o2b
2o4b4obo$5o2bo7bobo7b3o4bo$o4bob3o4bo2bo9b2o$o6b3obo3b2o10bo$5bo5b2o$
3bo7bo!
In the realm of yet another INT rule, I had acquired this P60 2c/5o spaceship that suppresses the output of a P60 2c/5 puffer with two P5 2c/5 spaceships (Themselves P5 backends of the aforementioned P60 puffer):

Code: Select all

x = 41, y = 59, rule = B2n3-kqr5ey/S23-qy4cnt
22bo$21b3o3b2o3b4o$bo2b2ob3o14b2o3bo3bobo$bo3b2o2bo13bo2bo2bo2b4o$2o4b
o2bo13b2o4bo$o7bo2b3o9bob2obo$13b2o12bo4bobo$13bo2b2o3bo13bo$10b2ob5o
3b2o7b2o2b3o$13bo2b2o3bo13bo$13b2o12bo4bobo$o7bo2b3o9bob2obo$2o4bo2bo
13b2o4bo$bo3b2o2bo13bo2bo2bo2b4o$bo2b2ob3o14b2o3bo3bobo$21b3o3b2o3b4o$
22bo5$26bo$25b3o3b2o3b4o$28b2o3bo3bobo$11b2o14bo2bo2bo2b4o$10b3o14b2o
4bo$11b2o8bo5bob2obo$19b3o9bo4bobo$7b2o10bo5bo13bo$6bo2bo8bo6b2o7b2o2b
3o$7b2o10bo5bo13bo$19b3o9bo4bobo$11b2o8bo5bob2obo$10b3o14b2o4bo$11b2o
14bo2bo2bo2b4o$28b2o3bo3bobo$25b3o3b2o3b4o$26bo5$22bo$21b3o3b2o3b4o$bo
2b2ob3o14b2o3bo3bobo$bo3b2o2bo13bo2bo2bo2b4o$2o4bo2bo13b2o4bo$o7bo2b3o
9bob2obo$13b2o12bo4bobo$13bo2b2o3bo13bo$10b2ob5o3b2o7b2o2b3o$13bo2b2o
3bo13bo$13b2o12bo4bobo$o7bo2b3o9bob2obo$2o4bo2bo13b2o4bo$bo3b2o2bo13bo
2bo2bo2b4o$bo2b2ob3o14b2o3bo3bobo$21b3o3b2o3b4o$22bo!
Edit: In the S4t-less variant of B3-en/S23-iq4-cjqyz that Goldenratio prefers due to apgsearchability, there are still a bunch of spaceships to be found (Mostly carryovers from the original rule, but with updated variants of the c/5 and c/6 spaceships):

Code: Select all

x = 163, y = 27, rule = B3-en/S23-iq4aeiknrw
2b2o3b2o13b3ob3o14bo3bo12bo3bo11bo7bo20b2o22bo22bo$b4ob4o14bobo16b2ob
2o12b2ob2o11b2o2bo2b2o14b3o3bobo20b3o20b3o$4bobo3bo10bo2bobo2bo15bo16b
o35b2obo3bo2bo18bo3b3o16bo2b2o$o3bobo2bo8bo2b2obobob2o2bo10bobobo9b2o
7b2o8bo2bobo2bo13b2o5b4o18b2obob3o14bo3bo$o3bob2obo8b2o2bobobobo2b2o9b
2o3b2o9bobobobobo9bob2ob2obo13bo30bo2bob2o13bo2bo$2bobobo10bo3bo2bobo
2bo3bo8bo2bo2bo9bob2ob2obo8b2ob2ob2ob2o11b2o28b2ob2o4b2o13bo$4bob2o16b
obo17b3o10bo9bo30bo26b3obo5bobo13bo$4bobo14bo2bobo2bo26bo2bo5bo2bo6bob
2o3b2obo9b2obo7b2o21bo23b3o$4bob2o11b2o3bobo3b2o13bo12bob2ob2obo8bo9bo
7bo2bo10bo16bo2bo9b2o16bo4bo$3bo2b3o13bobobobo16b2o13bo3bo13b2ob2o22b
3o15bo3bo11bo12bo2bo3b3o$3bobobo11bo11bo13b2o11bo3bo3bo12bobo19b6o17bo
bo6b3obobo13bo4bo2b2o$46bo11bob2ob2obo9bo2bobo2bo18bo34bo17b2o3bo$48b
4o6b3o3b3o8b2o2bobo2b2o14b2o20b3o6bo5b2o21bo$57bo2bo3bo2bo8bo7bo16bo
19bo4bo3bo2b2o23b2o$49b3o6bo7bo56bob2o3bo2b2o$77b2o3b2o16bo20bo2bo2bo
3bo$56b5o3b5o52bo5b2o2bo$59bobobobo11bo5bo35bo4bo2b2o$56bo4bobo4bo8b2o
3b2o35bob2o3bo$58bo2bobo2bo11b2ob2o34bo3bob2o$59bobobobo12b2ob2o33b4o
2bo$60bo3bo13bo3bo33bo2bo$61bobo10b2o3bobo3b2o33bo$61bobo11bo3bobo3bo
27b3o3b2o$61bobo10b2o9b2o31b2o$62bo52bo3bo$113b2ob2o!
Edit 2: Just wanted to toss in a couple more spaceships because I could (c/2o, c/3o, c/4o, non-monotonic c/5o, c/5d):

Code: Select all

x = 98, y = 40, rule = B2ikn3ai4-cjqyz/S23
b3o8b2o17bo13bo10bo2bo32b4o$o3bo7bobo15b3o5bo5b3o9bo2bo29bobo3b2o$o3bo
7bo3bob2o11bo5b3o5bo10bo2bo27bob2o3bob2o$2bo9b3o4bo10b3o2b2obob2o2b3o
9b4o28bobo3b2obo$bobo11b3obobo13bobobobo15b2o27bo2bo7bo$12bo7b2o12bo3b
o3bo11bobo2bobo23bo2bo2bo5bo$16b2o4bo8bobo3b3o3bobo37bo6bobo3bo$18b2o
15bo5bo12bo2b2o2bo21bo7bo2b2o$16b7o12bo5bo11bo2bo2bo2bo19bo5bo4bob2o$
14b2o7bo13b3o12b2obo4bob2o17bo3bo3bo2bobo$15bobo2b2o2bo11bo3bo10bo12bo
18bobobo7bo$13bobobo3b2ob2o10b5o11bob2ob2ob2obo17bo2bo8bo$12b2o3bobob
3o13b3o10bo2b2obo2bob2o2bo15bo3bob2o3bo$15bobob2o13b2o5b2o9b3o2b2o2b3o
11bo10bo$14bo4b2obo10b2o7b2o9bo2bo2bo2bo12b3o5bo3bo2b2o$13b2o4bo12bo
11bo8bo3b2o3bo12bo2b4o7bo$12bo5bobo13bo7bo32bo4bobo2b2obo$12bo6bob2o9b
obo7bobo36b2o$11bo5bo2bo12bo9bo9bob6obo19bo$11bob2o8bo29b2o6b2o12b2o5b
o$13b2o6b2o29bo2bo4bo2bo7b4obo6bo$13bo10bo31bo2bo11b4o2b2o4bo$12bobo6b
o30bo4b2o4bo14bo2b4o$13bob2o39bo2bo14bob2o$11bo2bo4bobo29bo2b2o4b2o2bo
7bo3b2o$17bob2o31bob2o4b2obo9bo2b2o$15b2o2bo33bo8bo13b2o$17bo3bo$16bob
o$15bo$15b2o$15b2o$14bo2bo$14bo2bo$13b5obo$18b4o$12b3o2bo2b2o$16bobo$
11bob2o$12bo!
I also want to say that the mention of "Goldenratio" in Edit 1 should actually refer to "_zM". That was a blunder on my part.

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

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yujh
Posts: 3068
Joined: February 27th, 2020, 11:23 pm
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » January 18th, 2021, 8:01 am

6c/112

Code: Select all

x = 3, y = 2, rule = B3-ckq4y5q6ac7e/S2-in3-ckq4ijw5ey6c
3o$bo!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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creeperman7002
Posts: 301
Joined: December 4th, 2018, 11:52 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by creeperman7002 » January 19th, 2021, 6:34 pm

Run this pattern for a surprise

Code: Select all

x = 191, y = 191, rule = B1357/S02468:P191,191
5o2bob2o2b2o4bobobobob2o2bo2bobobo2b4o2bo2b2o2b4o2b4obo4bo2bo3bo5bo3bo
2b3o4b3o2bo3bob2o2bo2bo2bo3bo3bobob3ob8obo4bob2o3b5obo4bob2ob2obo3bobo
2b3o2b2o$ob3o3b3o2bo13bobob2o2b2ob2o3b3o2bobob3o4bo3bobob2o2bo2bo2bob
4obo2b4ob5o3bob2obo2b2obob2o3b2ob2o4bo2b6ob2o3bo3b5obo2bob2ob4o2bobob
2ob2o2bo2bob4ob2o$obob4o5b2obo2bobo2bob4ob2obob2o4b4o2bo5b3obob2ob5o3b
2obob4ob2o3b4ob2o4b3o2b2o5b2o4bo2b3o3bo7bobobo2b3o2b3o2b2obobo4b2obo8b
2ob4o4bo2bo2b2o$4ob3obo3b2ob2ob2o3b2obob4o2b5o3bo3b3obobo3b2obob2o6b3o
2bo2b2o2b2o3b2o3bob2obo3bo2bo9b2ob2ob4o2bo2bobob5o5bo2bobob2ob2o2bob2o
3bo4bo2bob3o2bobob3ob3o$b3ob5obobo3bo2b2obobob2obo2b2o5b3o3b3o2bo2b5o
3b2ob3o2b4ob4o4bobob2obob2o3b4obobobob6o2b4o3b6ob4ob3obobo3bo2b2ob2o3b
3o2b2o2bo2b2o2bo2bo3bob2o2bo2bobo$2bo3b2o5b2obob2o4b2o2bobobo2bo3b2obo
2b2o2bob3ob4obo2b3ob3ob2ob3o3bob2obo3b2o2b3o2bobo2b3o4bo2b3o2bob4ob2o
3b2ob2ob2o2b3o3bo2bobo5b2obo3bob2o2b3o2b2o3b3o3bobobo$2b2o3b2ob2o3bobo
3b2ob2o3b6o2bo3bo2b3obobo4b3o2b8ob2o3bobo3b2obobo5b4obo3b2ob2obo2bobob
ob2ob2o2bo2bo4bo2b3o2bo2b2ob2ob4o4bobo2bo2bob2obo2b4o6bobobobo2bo$3bo
2bob10ob2obob2ob2o3bo3bo2b2ob2obo2bo2bo2bo2b2obob4ob5o2b2obobo2b7o2b3o
b2o2bobobobo2b2o3bobobo2bob2ob3o2bob3o2b2obob2o2b4obo2b3obob3obob3o3bo
2bo3bobo2bo3b3o$6bob5obo2bo2b3ob2ob2o2b3obob2o4b2obo2bobob2o7b2o3b4obo
2b2o3bobobob6obobo2bob2obobo2bo3b3o2b3ob3obo2bob2o4bob4o2b8ob2obob4o2b
ob2obob2ob7ob4ob2obo$bob3o2b2obo4bo2b2obo3b3o2b2ob2o2bobob2obobobob2ob
o3bob2ob4o2bo9b4obo3bo3bobob2o3b2obobobobobo2b4ob4obo2bobo2b3ob3o5bobo
b2o3b3obo3bob2ob5obobo2bo3b3ob4o$o2bo3bob3ob2o3b7ob2ob2o3bo2bo2b2o3bo
3b4o3bo3bo2b2obo2b2ob4obo4bob3o2bo2b4ob4o3bo2b2o2bo2b2o5bo3b6obo2b2obo
2bo2bo2bo4bob2obo5b2o4bobobo3bo3bo2b2obo$b2ob2ob4o2b2o4b3o2bo2b4o3bo2b
2obob4o2bo3b2obob3o3bobobob3o3b4ob4obo2b13o2b4o4b4ob2o2bob6o7bobob3ob
2o2bo2b3obob2o2bob2o4bo2b2o2bobobo6bobo$2b2o2bo4b2ob3o3bo2b2obobobo3bo
b4o5bobo4bob6ob2o3bobo2bobo2b2obob3obobob3ob2obo6bo7b2o7bob5obobo2bobo
b4ob4o3bobob2obo3bobobob2o2bo5bo3bo2b3obobo$ob2obo2b3ob5o2b3ob2o5b3ob
2o2b3ob5ob3o8b3ob3obob5obo2bo2bob3o2bo5bobobobo3b4ob3o2bo6bo3b2o2b2ob
6ob4o3bo3bob3o2b3o3b3o2b3ob3o3b2ob2o2b2ob3o$2o4b4o3bo4bobobobo4bo3b2o
2bo2bo6b2ob3ob2obo2b2ob2o2bob2obob3obo4b2obo2b4o3bo3bobo6bo3b3obo8b3o
3b2obob2o2b3o3bo2bobo2b2o2b2obo3bob3ob3o2b4o3bo5bo$2o2b2ob2o4bo2bo3b2o
2bobo2b3obob5obo4bob2obobo3b2o3b6o2bo4b2o2bo6bo2b2o5b3obobo2b3ob2o2b2o
2bobob7o4bo2b2ob2obo3b3ob2o2bo5bobo3bobobobobo2b6o2bo4bo$obo4b2obob4ob
o2bobob2ob2o2bo3b3o3bo3b5obo3bo2b2o2b2o2bob2obo3bob2ob2ob5obob2ob4o4bo
b2o2bobo2bobob6o2b2o2b2o2bo2b4o7bob2o2b2obobobobobo2b2obo4b6o2bob2obo$
bo4b3obob3o2b2o2bob2obobobob3ob2obobo3b2ob3o3bo2b3o2b4o5bob4o2bo4bo4bo
b2ob10o4bobobob2obobo6b4obobob2ob2obob2ob2o2bo3b3obobob4obob2o5bobo3bo
3bobo$5o3b2ob3obobo4b4o3bob2o6b4o2b2obo2b4o2b5obo3b3o2b4o4b3o5bo3b4o2b
o4b2ob3ob2ob2ob2obo2b2obob3o2bo5b2o2bobob2obo2bobob2ob2ob2o4b4ob2ob2o
2bo3bobobobo$b4obobobo2b2ob3obo2bo4b2o4bo3bob4ob2o4bobob7obobo4b8o2bob
2ob2obo3bo2b3o3bo2bobob3o2bobob2o3bo2b4obob4o2b2o3bobob2ob2o3b2ob2o5bo
3bo4bo3b3o3bobob2o$2bo2b2obobobob5o2b3obob4obo3b8o8bo2bobobobo4b2obobo
bo3b4o2b3obo4bo3b4obobo2bobo2b2o2b3obob2o3b5o2bob2o2bo2bob4o2bo4bob5ob
3obo2b11o3bo4b2o$3b3o2bo2bob3o2b3obo3bobobo4b3o2bo2bo2bo4b3o4bo2b5o4bo
3bobo5bob2ob6o2b6o4b5o2bo2bo2bo3bobo2b3obobo7b2ob4obo4bobobo4bob3o2bob
obo2bo2b4ob2ob2o$4b2ob4ob2obob2obob2obobobobo3bob3o2b3o4b2obo2bobobobo
bobo3b3ob2ob2obobob2obo3bo2b2ob3obo2bo2bo2b2o3b5o2b2ob2obo3b2ob2o3bo4b
7obobobob2o3b3o3b2o3bob2obo2b4o2b2o$4o5b2o2bo3bobo2bo4b3ob3ob3obob10ob
o4b4obob2obo2b2o8b2obo2bo2b2ob7ob5o6bo2b3o2b4o3bob3o2b2o4bob4o2b6obob
2o2bo3bo3bobo2b5o2b2ob2o2b2obo$4b2o5b3o2b2o3bo2b5o6bo2bob3o4b7ob2obo2b
o2bo4b3obob4obobo2b2ob4o2bob2o4bo4b5obo2bob2obob2obobo2bob2o2b2ob2o2bo
8bo2b7ob5o3bo2b2ob3o3b3o2b2o$3o2bo2b4o4b3obo2b2o4bo2bo2b3o2bob4obo2b2o
bo2bob4obo2b3ob2ob4o2b4o3b4o2bobo2bo2bo2bo2b3ob2obobo7bo2b2o2bobo3b3ob
5ob3o5b3o2b3ob2o2b7obo3bo2bobobob3o$o2bo3bob6obo2b2obo4bo2b2ob2o3b4obo
bob3o2b2o6b2obo3bo2bobob3o2bo3bobo3b2obo4b2o2b3obob2ob2o2b2o2b2ob2ob4o
bo3bo3bobob4ob8o4bo4bob3obobobo2bob2o2b2o2b5o$o2bobo3bo2b2o5b2o2bobo5b
2obo5bo3b6obo4b3o3bo2b2o2b2ob2o6b2o3b3o2b3obob2o2bob2ob3o2bo2b3o2b2o7b
3obob2obo3b2o3bo7bob2ob8ob3o3bo2b3obob3ob3obo$5bob3o2bo2bo2bob4o3bo3b
3obob2obobob2o4b2o5bobob2o2b6o3bo2b4ob4obo3bob2obo3b2obo3bo3b2ob2ob2ob
4obobo5b2obo2b8o2bobo2b3obo2b3ob2o2bo2bob4ob2obob2o$6o2bob2ob2obob2o2b
obobo2b3ob4ob2ob3ob3o2bo2b2ob2o2b2ob2o2bo2bob2obobo9b6o2bobobo2bo5bobo
bob4o4bo2b2ob4ob2o4bo3bo3b2o3b2ob3o2bobo2bob4ob2obo3b2o3b3obobo$4b3o3b
2ob3o3b3ob3o3bo3bo2b2obob4ob2obo2b2obobo6b2ob2o2b2o4b4o3bobobo3bobobob
3o2bo3bob2ob3o2b4obo5bob2o3bo3b2o2bobob2o3b2o2bo2bobobob2o2b3o8b2ob6o$
2o5b2ob2o3bo2b6obo2b2ob4o2b2o2bo2b2o2bobo3b2ob3ob2o5bob5ob2o2b2o4bobo
4b2o3b2o3b2ob2o10bobo7b3obob4obobobo2b7obo2b3ob8obob2ob2obobobobo3b3o$
3obo2bobo4bobobob2ob4o4b2ob2o2b2o2b4ob2o3bobo2bobobobo2bo2bob5obobob2o
2bob2obobo3bobob2o2bobobo2b4o2b2o2bobobo5bo2b3obo4bo3b2o3bo6bo9b4ob5ob
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3bo2b2ob4o2bobo4bob2ob4ob2o3b2o2bo2bo6b2obo3b4obo4bob4o4bo2bo3bo3bo2bo
b2ob2obob4obob2ob6obob2obob2o3bob2obob5o2bobo2b2ob3ob2o3b6o4bo2bo2bob
3o$b5o2bo4bob2obobo2b3obo4b2o2bobobobobo3b2o2b4ob3obob2o4b2obob3obob3o
4b4obobo2bo2bo4bo2b2ob7ob2o6bo11bo2bob2obobob3o3b3ob5o2bo4b6ob8o$4o2b
2ob2obob2o2bob2o3b2o2bo5b3o2bobo2b5ob2o2b2o2b5obobob7ob2obob5ob4o2b2ob
2o2bob4obo5bo3b3ob2o2bobobobobo5bob2ob4obo4bob2o2bo2bo4bob3o5bo4bobob
2o$2b3obo3bo2b6ob2o3b2obobobob4o5b3ob2o2b2obob2ob2o2bob2o2b2obo2b7ob3o
b4o2bo3b2o2bob7ob5ob5ob3ob6o6b2o2b3o2bo2b3o3b4obo4bo3bo3bob5o7bo$4ob5o
b3o2bob5o4bo3b3ob2obo3bob2ob3o3bobob3o4bo6bob6obobo2b3ob4o2bobob2o2b2o
bobob3o3b2o4b2o2b2o2bo2bo3bob2o4bo2bobo3b4ob8ob6o4bo2b3o2bob2o$3obob3o
3b3ob2ob4ob2obo4bobobob2o2b4o2b3obo5bob2o10b3obo8b2obob3o4bob3o2b5o3bo
b2obob3obob3ob3o2b3o6bobob2o2b9obob3ob2o3bo4b2ob2o3bo2b3o$bobo4bobob2o
b2ob4ob9o3bo5bob5obo2bobob2obo3bobob2ob2obob2o2bo2b4ob2o3bobob4o5b2obo
b2ob5o2b7o2bo3bo2bobobo2bob3o7b2o2bo4b2obob4o4b2obob2ob5o$2ob2obobob5o
2b3o4b2ob2o2b3ob2o8b2o2bo4bo2b2o3bo4b2ob3obob2o2b3o2b9o2bo3bobo3bob3o
4b3o2bobo2bob2o3bo2b2ob3ob2o2b4o4bob2o2bob3o2bo2b2obobobo2bo3b2o2bo$b
2o2bob3o2b3o2b3obobob2o3bob5o2b3o2bob4ob2o2b2obo3bob2ob2obob2o2bob2ob
2ob7ob4obob3obo2bo2b5ob4o2bobo2b2o2b3o2bo2b7o4bo4b2ob2o2b3ob2o3bo2bo2b
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3obo2bo$4ob5o3bobo2bo6bo3b2obob3obobob2obob2obo3b3o2b2o2b2obo3b2obobo
2bob4o2b3ob2ob4o2bo3bob3o6bob2o2bobobo3b6o5bo4b7o2bo2bo2bo3bo2bobo4b2o
bob2o2bob3ob3o$o2b3o6b4o4b2o2b3obo4b6obobobob3ob2ob2o3b3o2b2o2b2ob2obo
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2o3b2ob2o2bo$o3b2o2bob4obob2o3bobob5ob3obo5bo2bo3bobo2b2ob3o2b2obob2o
2bo7bo2b5o4bo3b2obo2b2o2bob2o3bobo2b4obobob2o6b3ob2obob3o3bob3obo2b2ob
3obo2b3ob3ob4o2b2obob3o$4bo2b2obo4b3ob3ob2obob2o3b2obo5b3ob2o2b3o2bo3b
3obob5o4b2obo8bobo4bo2b5o2b3o2bo2bo3b2o2bo2bo8bobob2o2b2o2b3obo2b2ob2o
5bo4bobo3bobo2bobobobo2b5o$b2obo2b3obo4b3obo3b2o9b3o3bo5b2ob2ob4obo2bo
2bobob4ob2o2bobo3b2o4bo2bo2b3o3b2ob2o3bob2o2bo3b2ob2obobo2b3obo4bo2b2o
3bob3obobo3bo2b2ob2o2b2o2b4o2bo2bob3obo$ob2o2bo2bo2b2obo6bobobo2bo2bob
3o2b2ob2o3bobo3b6ob2o4bobob7ob2o2bobo6b3o2b2o3bo6bo2bo2bo2b2o4b2obo5bo
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4bobo2bo6bo3b4ob6obobob2ob3o2b2o6bob2obob3ob3ob3obo2b3o4bob3o2b2ob2o2b
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bob2o3b2obob2o2bob3o2b3ob2obob3ob4obo3bob3o2b2obobobo$b2ob2ob2o6b3o3b
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4obobo4b2o4bo7b2o3bo3b2o2bo2b2ob3o2bo2bo2b2o2bobobo3b3obo3bob2obobo$2b
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4obo2b13o3b4ob2o4bo4bo2b2o2bob2o2b5obo2b4ob2o4b4o2bobob2ob2o2bob2obobo
4bobo2b3o5b6o3b3ob2o2bo2bo3bobo2b3ob2ob3o4bobobo2bo3b2obo6bobo3bo$bo2b
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2b2o3b2ob2o3bo2bobob2o5bo4bo2b3o4bo2bobobo2bobobob2obo4bo3bob2ob3o3bo$
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o2b3o3b2obob5o10b2ob2obo3b2ob3ob2obobo4bobo6b4o2b2o2b2ob2obobob2o$3b3o
2bo2b4obob4ob6o2b3o2bo2b2o2b2ob6obob2obobo3b2ob2obobobo3b5o4bobo9bobob
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3o3bo2bo4bo2bo4b2o2b2o3b2o3b2o3b2obo4b3obo2b3ob2o2b3obo4b2o2bobob2o3bo
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2o2bobo4b3obobob4obo3b2obobo2bob5o2bo2b2ob16ob5ob2obob3o5bob2o2b3ob2ob
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4b2o3b7o3bo12bo5bob4o4b2o3bo3bobo2bobo3bo5b2o3b3o4b3obo2bob2o4bo3bo2b
2ob3o3b2o2b2o4bo$3obob2o7bob2o2bob3o4bo2b2ob2obo9bobob3o4bo5b2o2bo4bob
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3ob5obob2o2bo2bobo$2b5o4b3o2bo3bobob4o3bo2bobobo2bo4bo3bo3b3o2b2obo2b
4obobobo4b3o3bo2bo3b5ob7ob6obob3obo3bob3o2b2obo3bo4b2ob2ob2o2bo2bob2ob
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4bo2bob2ob4obobo3bobo2bo$obobob2o8b3ob3obo2b4o3bo3b2o3b3o2bo4bobo5b3o
4bo3b2ob3o3bob3o3bo2bobo3bo2bob2ob2obo3b2o2bob2ob2o2b4obobobob2ob2ob5o
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2b3obo2bo3bo2b6o3b3ob4o4b2o6b6o2b2ob4ob3ob2o5bob3o2bo4bo7bo4b2o2bo3bob
o2b3o4bobobo4bobobo3bobob4o2bo$o4bobob7ob5o2bobobo2b14ob3o2bob2o4bobo
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4o3b2o2b3o2bob2obo3bobo$3bo2bo2bo2bobo2bobo2b2ob2o2b3o3bo3b3o4bobo5bo
2b2ob7o2bobo4bo8bob2o3b3ob4o4b4o3bob4o3b3o3bobo5b2o3bobobo2bo2b3ob2o2b
5obo2bo2bob2o3bo4b4ob4o$bob3o3bobo4b3ob2o2bob2o3b2o5bobo2b3ob2o2bob2ob
3obob3obo4bobo2b3o2bo3bob4ob4ob2o3bo2bo3b2obob2o2bo2b2o4b2obo2bob2obo
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3bo2b2obob3obo3bobo2bo5b3o2bo4b6ob3o2b2o2bob2obob3obo2bob3obo$3obo3bob
2ob3o2bo3bob2obob2o3b4o9b3obo4b2o3bobobobo2b3ob2ob2ob5o2b2ob3o2bo4b2o
4bo2bobob6ob2obobobobo13b2obo3bobo2bobo5bo3b2o2b3o2bobobobo2bob2o$ob4o
2b2ob3ob2ob2o3b4o5bo13b4o2b2obob2o2bob2ob2o3bob4o2b2obobo4b2ob3obo7b2o
3b3obo2bobo2b2o2b3o3b5o2bob3ob2o6b2o2bo2b3ob7o3bo3b3ob2o4bob2o$b3o6bob
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b2o7bo4bo2b2o3bob3o2bob4o3b8obobob2obo2b2ob3o2bo2b3ob5o2b2o5b2o2b3o$2o
3b2ob2ob3o2b2o4bobo3b3ob3ob2o3b4ob3o2bobobob5o3b2obob3ob5obo2bo2b3ob3o
2bobobo2bobo2bo2b2obo2bobo3b2o3bo3bob2o4bo4bo2bo2bob3ob2o3b2obo3b2ob2o
3b4o6bo$b3o2b3obo2bo4b3o4bobo5bobo2bo2bo3bo2bo2bo4bob4obob3ob3o4bo3bo
3bobobob2o3b3ob2o3bob2o2bo3b2obo2b2o3bo6b2ob5obo2bo3b2obo2bob2obo3b2o
3b5o2bobo2b4o2bo$9ob2ob10obobob2o3b3ob3ob5ob2obo5b3o2b2ob5o5bo3b2o2bo
4bo3bob2ob7obo2bobo2b3o3b4ob3obo3bobo2bo4bo3bob2o3b5obo3bo5bo7b2o3b2o
2bobob2o$obo2bobo4b7o2bob3o3b5ob3o2bo2bo2bobobob3obo2b3o2b2o2b5ob2o2bo
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2b3ob2o8b3o$bob8o2bobo2b6o2bo2b2ob2obob2o2bo4b5ob3obo2bobo2b2obob3obob
3o2bo2bob8o4b5o2b4obo3b2ob3o3bobo2bo3bob7obo3b3obo3bob2ob2o2bo8bob3ob
3ob6o2b2o$3o4b3o2b2o3bobo5bobo2bo2b2o2bo3bobobo5b3ob7ob5o2bo2b4obo2bob
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2ob2ob3ob2o2b2ob2o3bo5bo2bo$3bobobo3bobo4bo2b4o2bo2bo3bo6bo7bo2bobo2b
2o2bo2bobob6ob2ob2o3b3ob3o4bobobob2obo4b2ob2o4b2o3bob4o2b2o3b4ob3obo3b
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2bobobo3b2o2bob2o3bob2obo10bo8bob2ob5o2b2o3b2o5bob2obo5bob3o6bob5ob2o
3bo3b2obobob2ob5ob2ob2ob2obo$bobo2bo3bobo2bo2b5obob3ob2o2bobob3o6bobo
2b3o3b5o6bob2obobo3bob2o2b2o6bo2b2ob2obob2o2b3o2bobo2bo3b2o3bob2o2b2o
2bobo2b2obo3b3obob3obo2b2o2bobo3bob2obob3ob4o$4obo2bo2b5o3b2obo2b2obo
2bobob2ob2o2b2obo2bo2bo3bob4o6b2obob2obobob2o5b2o3b4obob2o7bob2o4b2o5b
2ob5o4bo2bo2bobob2obob4o2b2o2b2obobobobobo4bobob2ob2ob3obo$2o3bob2ob2o
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2bob2ob4obo4b2obo4b3obob2obo2bobobob2ob2o3b3obo4bo2b2o2b3o2bob3o5bo4bo
$ob3o2b2obo2bo2bob4obo4bobobo3b2ob2o2bo2b2ob2o5b2obo2bobob3obo4bo3b2ob
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2b2ob2o3bo3bob3ob3o3b3o2bobobobo5b5o2b2obob4ob2obo3bo2bo2bo4b8o$2b2ob
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3b3ob2obobo2bobo5b3obobobo5b2ob3ob2o2b3ob3o3bo2bo2b2o2bobobobo3bo2bobo
$obobo6b3ob2ob3o3bo3b3obo2bobo6bobo3b2obo5bo3b2o7b2o3bob2ob6o4b4obob2o
2b4ob3obo3bo2bobo2bo3b2obo4b8ob3obo3b3o5bo3bo2bo5bobo3b6ob2o$o3bob3ob
3ob2ob2o4b2ob3o2b2o2b2o4b2o2b4o4bobob5o4b5obobo3b2obo2bo3bo2b4ob2o2b4o
bo2b4o3b4ob5obobobo2bobo5b3o3bo3bobo2bo2b2o3bobob2o4bo2bo3b2ob2obobo$
2bob2o2b2obo2b2o2bo3b2o3bob4obo4b2obo3b2obo2bo4bob2o2b4ob2o4b3obob2o3b
7ob4o3b2obo2bob2obo4bobo2bobo2bo2bob2obob2o2bo2bobo3b2ob7o2bobob9o6bo
3b3o2bo$o4b2o3b2o5b2o5b6obob4o4bo2bo2b2o2b3o3bo4bob2o4b8obo3bob6o2bo3b
ob5o2bobo2bob4o3b6ob6o4b2o2bo3b2o2b7obo3bo3b2o2bo4b4obo2bo3b3obo$2o2bo
bob2obobo2bo2bo2bo2b3o2b2obo2b4obo3bo4bobobo3b2o2bo2bob2o2bo2bo7bo3b2o
bob3obo2b4obob3o4bobo2bobobo3b3ob3o2bobo4b4o4bo3b2ob5o3bobo2bo2b2o2b2o
3b3ob3o2bo$2o6b3obo2bob2obob5obobobob5ob2o2bo3b2o4bobob2obobobob4obob
2ob5o2bo3b3o5bo2bob6obo2bo3bo2bobobo2b8ob4o4bo3b5o2bobob3o2b2obob5o3b
2o2bob2ob3o2b2o$bobo3b2o3bobobobo3b3ob5ob3obob3obob2ob2ob2o3b2o4bo3b2o
2b2obob2o2b2obo3b6ob4o3b2o2b2o2bo11bo2b2ob2ob3obo2bob3ob2o5b3o2bo3b4ob
ob3o3b3ob2o2bo3b3ob2o2bo$obo2b3o3b6o4b2ob4obob2o2bobobob8o2bobob2o2bo
2b5obob2o4b3obob3o3bob3o2b2obo5b3ob2ob2ob2o3b4o2bo2b5o5b2o6b2o3b3ob2o
2b4ob2o4bo4bo2bobo2b2ob2ob2o$2b3obobob2o3b4o3b3o2b8o4b4o4bo2bo2bo5b2ob
o5b2obo6b8o2b5o3b2obo4b5o2bob2o4b2o2bob2ob2obo2bo4b2obo2b5ob3ob2o2b3o
2bo2b2o2bo2bo3bob2o4bo2bo$4bo2b2o7bo5b2o5bo2bo4b4o2b3ob5o2b3o3bo4bo2bo
bo2bob4ob2obob2ob4o5bob4o2bo2bob4o6b4obo2bobob2o2b2obo6b2o2bob4o2bobob
obo2b3obo2bobo2b5o3bobo$bo2b2ob3ob3ob2o4bobo3bob2obob2obo2b2ob7ob2o2bo
b2obob3o3bob5ob2obo2b4obo2b3obobobo2bob4ob2o2b8o3bo7bo3b2o2b2o2bobob5o
b3ob2obo2b2ob3ob2obob3o4b2o5b2o!
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 19th, 2021, 11:58 pm

B1c space nonfiller

Code: Select all

x = 9, y = 9, rule = B1c2c3r4ct5e/S
obobobobo2$ob5obo$2bo3bo$obo3bobo$2bo3bo$ob5obo2$obobobobo!
Edit: Another:

Code: Select all

x = 7, y = 7, rule = B12a5-a/S3-e4-i5-cnr
2obob2o$7o$bo3bo$2o3b2o$bo3bo$7o$2obob2o!
EDIT 2: If you remove B4c from the first rule, you get a really interesting rule, with several backgrounds decaying into each other in this order:
Empty space->Chaotic lone dots->Chaotic stripes->Stable checkerboard, or just from dots to checkerboard. There's also some cell-level chaos too, but that usually arises from the stripes->checkerboard decay, or from the empty space->chaotic lone dots decay. P4 agar:

Code: Select all

x = 128, y = 128, rule = B1c2c3r4t5e/S:T128,128
bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bo
bo$bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3b
obo3bo5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bob
obobo9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo
3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo
15bo15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7b
o5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bob
o7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bob
o$5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5b
o3bobo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3b
obo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bo
bo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo
15bo15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5b
obo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3b
obo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$b
obo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo
3bo5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobo
bo9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bo
bo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bob
o3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo5bobo
7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo$obo7bobo3bobo
7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo$bobo
3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo
5bo3bobo3bo5bo$4bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo
9bobobobo9bobobobo$bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo
3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo$2bo9bobo3bo9bobo
3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo$15bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$bo7bo5bo
bo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bobo7bo5bo$2bobo3bobo7bo
bo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo7bobo3bobo$5b
o3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bobo3bo5bo3bo
bo3bo5bo3bobo3bo$obo9bobobobo9bobobobo9bobobobo9bobobobo9bobobobo9bobo
bobo9bobobobo9bobo$3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3b
o3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo3bobo3bobo3bo$4bobo3bo9bobo3bo
9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo9bobo3bo$7bo15bo15bo15bo15bo
15bo15bo15bo$6bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo!

User avatar
yujh
Posts: 3068
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » January 20th, 2021, 2:34 am

Very,very hard to apgsearch:

Code: Select all

x = 16, y = 16, rule = B2ikn3-jnqr6cn78/S3-ceky4-et5-aek6cin78
3bo2b6o2bo$bo3bo2b3obob2o$2o2b5ob3o$ob8o3b2o$ob3o4b5o$4bobob2o2b4o$2o
4bobo3bob2o$3b4o2bo2bo2bo$bo2b2o6bo2bo$b2ob2obo2b6o$bo2b2ob2obo4bo$2ob
obo2b4obo$obo3bo2b2ob2o$3obobobo4b3o$7b4obob2o$6obob4ob2o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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LaundryPizza03
Posts: 2323
Joined: December 15th, 2017, 12:05 am
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » January 20th, 2021, 3:05 pm

Something that can be repeatedly pushed forward at 2c/7o:

Code: Select all

x = 132, y = 6, rule = B26/S3
124bo5bo$123bo5bo$o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo10bo2b3o$2bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo5bo5bo$2bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo6bo5bo$o4bo4bo4bo4bo4bo4bo4bo4b
o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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creeperman7002
Posts: 301
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by creeperman7002 » January 20th, 2021, 9:34 pm

I discovered 2 new ships in B2/S34H (Hex life) in ikpx2 that are the first of their speeds, and the latter its direction:
c/6o:

Code: Select all

x = 36, y = 15, rule = B2/S34H
9b2o2bobo3bo$bo8b4o5b2o$o2b2o4b2ob2o3bo2b5o$obo2bo2bo2b3obo4b2o2b2obo
$bo3bobo3b3o5b2o3bobo$4bo3b4obo3b2o5bo2bobo2b2o$obo8b2o8b2ob2obo4bo2b
o$bo5bob2o4bob3o2b2o2bo2b3o2bo$2bo2bo4bo3b3o2b3o2bobo3bo3bo$bo4bob3ob
o2bo5b2obo2bo2b3o$4b2ob3obo3b2obo7b3obo$8bo5b2ob2obo3bo4bo$15b4o2b2o3b
o$7bobo6bo2bo6bo2bo$16bobo9bo!
c/6d:

Code: Select all

x = 23, y = 22, rule = B2/S34H
16b2o$11bo2bo4bo$13bo3bo2bo$12bobobo4bo$14bo3bo$8b2obob2obo3bobo$5bob
o5bo3bobo2bo$7bo8bo$3bobobo6bo2b3obo$5bo14bo$8bo6bo3bo$2bo5bo2b2obo3b
o2bo$2bo4b5o8bo$6b3obo8bo$2bo3b2o$o3b2ob2o$2b3o2bo$2b2o2$2bobo2$2bo!
The c/6d discovery is a bit reminiscent of Sir Robin because it has the same period (6), travels in a new direction, and was found with ikpx2.
B2n3-jn/S1c23-y is an interesting rule. It has a replicator, a fake glider, an OMOS and SMOS, a wide variety of oscillators, and some signals. Also this rule is omniperiodic.
viewtopic.php?f=11&t=4856

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » January 24th, 2021, 11:08 pm

C/20d that increases its population +1/gen until going back to 3

Code: Select all

x = 2, y = 3, rule = B2cen3akqy4ceqt5cikr6aci8/S012ekn3-acnq4-ejqrz5eknry6c7e
2o2$o!
C/13o with -1/gen:

Code: Select all

x = 6, y = 5, rule = B2cen3anqr4eijkqz5jkny6n/S2an3-ce4cey5-cnqr6a78
5o$5o$6o$5o$5o!
p16 with -1/gen

Code: Select all

x = 7, y = 7, rule = B2ei3akr4acijnw5aikq6-ek7c/S012-a3akr4airty5-ejq6cik7e8
6o$6o$6o$6o$6o$6o$6bo!
Population is consecutive primes, at 2c/10:

Code: Select all

x = 2, y = 3, rule = B2ce3ajn4aijkny5eiy6k7/S12in3-akq4ceikq5cknry6k
bo$o$bo!
An explosion which has population with consecutive primes up to 97:

Code: Select all

x = 2, y = 3, rule = B2cen3iy4aejnrz5einq6ack/S12-cn3-eky4ejrty5akr6ik7c
o$bo$o!
All found with a modified version of EnumPattEvo.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

HelicopterCat3
Posts: 258
Joined: October 16th, 2020, 10:27 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by HelicopterCat3 » January 25th, 2021, 3:05 pm

An OMOS:

Code: Select all

x = 6, y = 3, rule = B3-n4cw5kn/S2-ae34at5ir6-ai
b2ob2o$3ob2o$b2ob2o!
Here's the spaceship it's made of:

Code: Select all

x = 3, y = 3, rule = B3-n4cw5kn/S2-ae34at5ir6-ai
bo$3o$3o!

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 25th, 2021, 5:40 pm

Code: Select all

x = 14, y = 15, rule = B35a/S2-c34j5r
4b2o$4bo5b2o$5b3obobo$2o5bobo$obo6bo$2bo8bo$2b2o2bo3b2o$6bo$2b2o2bo3b
2o$2bobo6bo$4bo6bobo$4bobo5b2o$2bobob3o$2b2o5bo$8b2o!

User avatar
iNoMed
Moderator
Posts: 611
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by iNoMed » January 26th, 2021, 2:51 pm

I accidentally bloated P42 oblique spaceship:

Code: Select all

x = 1059, y = 290, rule = B2ein3aiy4-ainwz/S234ct5cjkny
1020b2o$995b2o18b2o2bo2bo$990b2o2bo2bo17b2o2bobo$990b2o2bobo12b2o9bo$
984b2o9bo13b2o18b2o$984b2o17b2o11bo7b2o2bo2bo$978b2o23b2o19b2o2bobo$
978b2o17b2o16bo13bo$972b2o16bobo4b2o39b2o$972b2o16b3o32bo7b2o2bo2bo$
966b2o65b2o2bobo$966b2o56bo13bo$960b2o85b2o$960b2o72bo7b2o2bo2bo$954b
2o86b2o2bobo$954b2o77bo13bo$948b2o106b2o$948b2o34bobo56bo7b2o2bo2bo$
942b2o40b3o64b2o2bobo$942b2o98bo13bo$936b2o$936b2o$930b2o$930b2o$924b
2o81b2o40bo$924b2o76b2o2bo2bo39bo$918b2o58bobo21b2o2bobo34bo5bo$918b2o
58b3o15b2o9bo35bo$912b2o82b2o18b2o19bo5bo$912b2o76b2o11bo7b2o2bo2bo18b
o$906b2o82b2o19b2o2bobo13bo5bo$906b2o76b2o16bo13bo14bo$900b2o82b2o39bo
5bo$900b2o76b2o45bo$894b2o78b2o2b2o29b2o8bo5bo$894b2o79bo31bobobo7bo$
888b2o84b2o30bo12bo$888b2o104b2o11b3obo$882b2o109bo16bo$882b2o97b2o11b
2o$876b2o102bo$876b2o90b2o11b2o$870b2o95bo$870b2o83b2o11b2o$864b2o88bo
$864b2o76b2o11b2o$858b2o81bo$858b2o69b2o11b2o$852b2o74bo$852b2o62b2o
11b2o$846b2o67bo$846b2o55b2o11b2o$840b2o60bo$840b2o48b2o11b2o$834b2o
53bo$834b2o41b2o11b2o$828b2o46bo$828b2o34b2o11b2o$822b2o39bo$822b2o27b
2o11b2o$816b2o32bo$816b2o20b2o11b2o$803bobo4b2o25bo$804b2o4b2o13b2o11b
2o$801bo2b2o6b2o10bo$812b2o11b2o$798b2ob2o$798b2o3bobo5bo$804bob2o$
802bo54b2o$832b2o18b2o2bo2bo$802b2o23b2o2bo2bo17b2o2bobo$780b2o45b2o2b
obo12b2o9bo$780b2o39b2o9bo13b2o18b2o$821b2o17b2o11bo7b2o2bo2bo$815b2o
23b2o19b2o2bobo$815b2o17b2o16bo13bo$809b2o16bobo4b2o39b2o$762b2o45b2o
16b3o32bo7b2o2bo2bo$762b2o39b2o65b2o2bobo$803b2o56bo13bo$797b2o85b2o$
797b2o72bo7b2o2bo2bo$791b2o86b2o2bobo$744b2o45b2o77bo13bo$744b2o39b2o
106b2o$785b2o34bobo56bo7b2o2bo2bo$779b2o40b3o64b2o2bobo$779b2o98bo13bo
$773b2o$726b2o45b2o$726b2o39b2o$767b2o$761b2o81b2o40bo$761b2o76b2o2bo
2bo39bo$755b2o58bobo21b2o2bobo34bo5bo$708b2o45b2o58b3o15b2o9bo35bo$
708b2o19b2o18b2o82b2o18b2o19bo5bo$724b2o2bo2bo17b2o76b2o11bo7b2o2bo2bo
18bo$724b2o2bobo12b2o82b2o19b2o2bobo13bo5bo$718b2o9bo13b2o76b2o16bo13b
o14bo$718b2o17b2o82b2o39bo5bo$690b2o20b2o23b2o76b2o45bo$690b2o20b2o17b
2o78b2o2b2o29b2o8bo5bo$706b2o16bobo4b2o79bo31bobobo7bo$706b2o16b3o84b
2o30bo12bo$700b2o129b2o11b3obo$700b2o128bo16bo$672b2o20b2o122b2o11b2o$
672b2o20b2o121bo$688b2o115b2o11b2o$688b2o114bo$682b2o108b2o11b2o$682b
2o34bobo70bo$654b2o20b2o40b3o58b2o11b2o$654b2o20b2o100bo$670b2o94b2o
11b2o$670b2o93bo$664b2o87b2o11b2o$664b2o86bo$636b2o20b2o80b2o11b2o$
636b2o20b2o54b2o23bo$652b2o60b2o11b2o11b2o$652b2o60b2o10bo$646b2o67bo
11b2o$646b2o66b2o$618b2o20b2o72b2o$486bo131b2o20b2o66bobo$461bo18bobo
2b2o147b2o72bobo112b2o$455bobo2b2o15b2obo3b3o147b2o73bo88b2o18b2o2bo2b
o$452b2obo3b3o15b2obo147b2o163b2o2bo2bo17b2o2bobo$452b2obo15b2o7bobo
12bo132b2o163b2o2bobo12b2o9bo$446b2o7bobo13b2o7bobo6bobo2b2o104b2o20b
2o163b2o9bo13b2o18b2o$446b2o7bobo7b2o13b3o3b2obo3b3o104b2o20b2o163b2o
17b2o11bo7b2o2bo2bo$440b2o13b4o6b2o19b2obo126b2o163b2o23b2o19b2o2bobo$
440b2o17b2o28bobo12bo111b2o163b2o17b2o16bo13bo$434b2o23b2o28bobo6bobo
2b2o105b2o90bobo70b2o16bobo4b2o39b2o$434b2o53b3o3b2obo3b3o105b2o90bobo
70b2o16b3o32bo7b2o2bo2bo$428b2o65b2obo83b2o20b2o97bo65b2o65b2o2bobo$
428b2o22bobo43bobo12bo68b2o20b2o163b2o56bo13bo$422b2o28b3o43bobo6bobo
2b2o84b2o163b2o85b2o$422b2o74b3o3b2obo3b3o84b2o163b2o72bo7b2o2bo2bo$
416b2o86b2obo84b2o163b2o86b2o2bobo$416b2o89bobo12bo69b2o163b2o77bo13bo
$410b2o95bobo6bobo2b2o41b2o20b2o163b2o106b2o$410b2o95b3o3b2obo3b3o41b
2o20b2o108bobo52b2o34bobo56bo7b2o2bo2bo$404b2o107b2obo63b2o114bobo46b
2o40b3o64b2o2bobo$404b2o110bobo61b2o115bo47b2o98bo13bo$398b2o46bobo67b
obo55b2o163b2o$398b2o46b3o67b3o55b2o163b2o$392b2o152b2o20b2o163b2o$
392b2o79bo72b2o20b2o163b2o$386b2o79bobo2b2o37bo50b2o163b2o81b2o40bo$
386b2o76b2obo3b3o37bo50b2o163b2o76b2o2bo2bo39bo$380b2o82b2obo37bo5bo
44b2o132bobo28b2o58bobo21b2o2bobo34bo5bo$380b2o76b2o7bobo12bo22bo50b2o
132bobo28b2o58b3o15b2o9bo35bo$374b2o82b2o7bobo6bobo2b2o16bo5bo22b2o20b
2o139bo23b2o82b2o18b2o19bo5bo$374b2o64bobo9b2o13b3o3b2obo3b3o16bo28b2o
20b2o163b2o76b2o11bo7b2o2bo2bo18bo$368b2o70b3o9b2o19b2obo16bo5bo44b2o
163b2o82b2o19b2o2bobo13bo5bo$368b2o76b2o28bobo14bo50b2o163b2o76b2o16bo
13bo14bo$362b2o82b2o28bobo8bo5bo44b2o163b2o82b2o39bo5bo$362b2o76b2o34b
3o8bo50b2o163b2o76b2o45bo$356b2o82b2o39bo5bo22b2o20b2o163b2o78b2o2b2o
29b2o8bo5bo$356b2o108b2o13bo28b2o20b2o150bobo10b2o79bo31bobobo7bo$350b
2o113bo15bo44b2o156bobo4b2o84b2o30bo12bo$350b2o101b2o11b2o58b2o163b2o
104b2o11b3obo$344b2o106bo67b2o163b2o109bo16bo$344b2o94b2o11b2o65b2o
151b2o10b2o97b2o11b2o$338b2o99bo52b2o20b2o156bo110bo$338b2o87b2o11b2o
50b2o20b2o144b2o11b2o96b2o11b2o$332b2o92bo81b2o149bo110bo$332b2o80b2o
11b2o79b2o137b2o11b2o96b2o11b2o$326b2o85bo88b2o142bo110bo$326b2o73b2o
11b2o86b2o130b2o11b2o96b2o11b2o$320b2o78bo73b2o20b2o135bo110bo$320b2o
66b2o11b2o71b2o20b2o123b2o11b2o96b2o11b2o$314b2o71bo102b2o128bo110bo$
314b2o59b2o11b2o100b2o116b2o11b2o96b2o11b2o$308b2o64bo109b2o121bo110bo
$308b2o52b2o11b2o107b2o109b2o11b2o96b2o11b2o$302b2o57bo94b2o20b2o114bo
110bo$302b2o45b2o11b2o92b2o20b2o102b2o11b2o96b2o11b2o$296b2o50bo123b2o
107bo110bo$296b2o38b2o11b2o121b2o95b2o11b2o96b2o11b2o$290b2o43bo130b2o
100bo110bo$290b2o31b2o11b2o128b2o88b2o11b2o96b2o11b2o$259bo24b2o36bo
115b2o20b2o93bo110bo$258bob2o22b2o24b2o11b2o113b2o20b2o81b2o11b2o96b2o
11b2o$258bob2o16b2o29bo144b2o86bo110bo$278b2o17b2o11b2o142b2o74b2o11b
2o96b2o11b2o$272b2o22bo151b2o79bo110bo$272b2o10b2o11b2o149b2o67b2o11b
2o96b2o11b2o$274bob2o5bo136b2o20b2o72bo110bo$274bob3o5b2o134b2o20b2o
60b2o11b2o96b2o11b2o$278bo157b2o65bo110bo$277b2o157b2o53b2o11b2o96b2o
11b2o$254b2o174b2o58bo110bo$254b2o63b2o109b2o46b2o11b2o96b2o11b2o$294b
2o18b2o2bo2bo80b2o20b2o51bo110bo$289b2o2bo2bo17b2o2bobo81b2o20b2o39b2o
11b2o96b2o11b2o$289b2o2bobo12b2o9bo98b2o44bo110bo$283b2o9bo13b2o18b2o
88b2o32b2o11b2o96b2o11b2o$236b2o45b2o17b2o11bo7b2o2bo2bo81b2o37bo110bo
$236b2o39b2o23b2o19b2o2bobo82b2o25b2o11b2o96b2o11b2o$277b2o17b2o16bo
13bo77b2o30bo110bo$271b2o16bobo4b2o39b2o67b2o18b2o11b2o96b2o11b2o$271b
2o16b3o32bo7b2o2bo2bo60b2o23bo110bo$265b2o65b2o2bobo45b4o12b2o11b2o11b
2o96b2o11b2o$218b2o45b2o56bo13bo46bo2bo14bo9bo110bo$218b2o39b2o85b2o
36b4o14b4o7b2o96b2o11b2o$259b2o72bo7b2o2bo2bo56bo104bo$253b2o86b2o2bob
o56b2o92b2o11b2o$253b2o77bo13bo35b2o113bo$247b2o106b2o25b2o101b2o11b2o
$200b2o45b2o34bobo56bo7b2o2bo2bo126bo$200b2o39b2o40b3o64b2o2bobo12bo
102b2o11b2o$241b2o98bo13bo13bo2bo98bo$235b2o135bo86b2o11b2o$235b2o221b
o$229b2o215b2o11b2o$182b2o45b2o214bo$182b2o19b2o18b2o81b2o40bo84b2o11b
2o$198b2o2bo2bo17b2o76b2o2bo2bo39bo83bo$198b2o2bobo12b2o58bobo21b2o2bo
bo34bo5bo71b2o11b2o$192b2o9bo13b2o58b3o15b2o9bo35bo76bo$192b2o17b2o82b
2o18b2o19bo5bo64b2o11b2o$164b2o20b2o23b2o76b2o11bo7b2o2bo2bo18bo69bo$
164b2o20b2o17b2o82b2o19b2o2bobo13bo5bo57b2o11b2o$180b2o16bobo4b2o76b2o
16bo13bo14bo62bo$180b2o16b3o82b2o39bo5bo50b2o11b2o$174b2o101b2o45bo55b
o$174b2o97b2o2b2o29b2o8bo5bo43b2o11b2o$146b2o20b2o104bo31bobobo7bo48bo
$146b2o20b2o103b2o30bo12bo36b2o11b2o$162b2o129b2o11b3obo43bo$162b2o
128bo16bo32b2o11b2o$156b2o122b2o11b2o46bo$156b2o34bobo84bo49b2o11b2o$
128b2o20b2o40b3o72b2o11b2o46bo$128b2o20b2o114bo49b2o11b2o$144b2o108b2o
11b2o46bo$144b2o107bo49b2o11b2o$138b2o101b2o11b2o46bo$138b2o100bo49b2o
11b2o$110b2o20b2o94b2o11b2o46bo$110b2o20b2o93bo49b2o11b2o$126b2o58bobo
26b2o11b2o46bo$126b2o58b3o25bo49b2o11b2o$120b2o80b2o11b2o46bo$120b2o
79bo49b2o11b2o$92b2o20b2o73b2o11b2o46bo$92b2o20b2o72bo49b2o11b2o$108b
2o79b2o46bo$108b2o115b2o11b2o$102b2o120bo$102b2o108b2o11b2o$74b2o20b2o
113bo$74b2o20b2o101b2o11b2o$90b2o106bo$90b2o94b2o11b2o$84b2o99bo$84b2o
87b2o11b2o$56b2o20b2o92bo$56b2o20b2o80b2o11b2o$72b2o85bo$72b2o73b2o11b
2o$66b2o78bo$66b2o66b2o11b2o$38b2o20b2o71bo$38b2o20b2o59b2o11b2o$54b2o
64bo$54b2o52b2o11b2o$48b2o57bo$48b2o45b2o11b2o$20b2o20b2o50bo$20b2o20b
2o38b2o11b2o$36b2o43bo$36b2o31b2o11b2o$30b2o36bo$30b2o24b2o11b2o$24b2o
29bo$24b2o17b2o11b2o$2bo2bo12b2o22bo$b2o2b2o11b2o10b2o11b2o$bo4bo13bob
2o5bo$b2o2b2o13bob3o5b2o$2bo2bo18bo$2bo20b2o$2o$2o!
As a bonus, this rule also has some extra elementary spaceships, including a surprisingly-small c/6d:

Code: Select all

x = 98, y = 17, rule = B2ein3aiy4-ainwz/S234ct5cjkny
3o5b3o13b3o8bo7bo10b2o17b3o19b3o$obo8b3obo3bob3o10bobo5bobo9bo20bo12bo
8bo$14b2obob2o32bo17b2obo13b2o5bobo$8b3o2bo2bobo2bo2b3o7b3o5b3o6b3o2bo
10b2obobob5o5b3o2b2obobo$9b2obobo5bobob2o9bo7bo7b2o2bo2b2o6bo7b2o2bo7b
o4bo$12bobo5bobo32b2o2bo10bo2bob2o6bob2obo3bobo$33bobobo3bobobo8bo4bo
6bob2o16bob2o3bo$33b6ob6o10b2o16bobo6b3o2b2o4bo$33bobo2bobo2bobo10bo8b
2o6bobo14b2o2b2o$35bo2bobo2bo23bo5b3o14b3o2b2o$33bobo2bobo2bobo19b2o4b
o2bo$32bobobobobobobobo21b2o2bo18b4o$32bobobob3obobobo21b2obo18bobobo$
34bob2obob2obo45bo3bo$33bobo7bobo44bobo$37bo3bo$35bobo3bobo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » January 26th, 2021, 4:39 pm

This grows based on the cube root of t, with n dots past the o$bo$o! part by t=(2/3)n^3+2n^2+(16/3)n-3

Code: Select all

x = 6, y = 3, rule = B2ek3in4ce5ey6ci/S012ac3an4t5ei6c
o$bo$o!
Last edited by AforAmpere on January 26th, 2021, 4:44 pm, edited 1 time in total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

wwei23

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by wwei23 » January 26th, 2021, 4:41 pm

P41:

Code: Select all

x = 4, y = 3, rule = B2i3-q4e5y/S235e
b2o$o2bo$b2o!
P40:

Code: Select all

x = 14, y = 5, rule = B2i34e5ry/S235ce6i
2b2o6b2o$bo2bo4bo2bo$6o2b6o$bo2bo4bo2bo$2b2o6b2o!
P144:

Code: Select all

x = 4, y = 3, rule = B3-y4e5y6i/S235e8
b2o$o2bo$b2o!
EDIT: Lol

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x = 10, y = 3, rule = B2i34e5y6i/S234e5e
2bo4bo$2ob4ob2o$2bo4bo!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere » January 26th, 2021, 7:46 pm

Moving sqrt growth

Code: Select all

x = 2, y = 3, rule = B2ek3aijnr4ai5ey6c/S01c2ac3ei4aet5ei
o$bo$o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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