Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

islptng wrote: January 24th, 2025, 4:11 am StopBoxINT
Some sort of stop-and-go turning reaction by sending a box (analogous to the smallest spaceship, i.e. box in Stopbox) towards a c/6:

Code: Select all

x = 13, y = 5, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
2o9b2o$obo8bo$2o$11bo$11b2o!
 
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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen »

This rule is part of a family of rules (I believe B3c4cy5ek6e, S3c4cy5ek6e, A3er, D0) where barberpoles cannot be crossed, but half-barberpoles, lines, and barges can. This specific rule has a natural (2,2)c/11 and the most interesting dynamics out of the variants I tested, especially with a larger "barbershop":

Code: Select all

x = 129, y = 55, rule = B2n3-er4cy5cek6e/S234cy5ek6e
33bo$33bo$33bo$3o$o2bo4b3o21bobo$o9bo$o8bo20bobobobo$bobo$28bobo5bobo
2$3o7bo15bobo9bobo$o2bo5b3o$o7b2ob2o11bobo6b2o5bobo$o3bo4b3o20bobo4bob
o$o7bobo11bobo9bo6b2obo$bobo$20bobo21bobo$74bo43bo$3o15bobo25bobo25bo
42bobo$o2bo70bo21bo19bobobo$o15bobo8bob2obo2b2obobo7bobo44bobo17bobobo
bo$o3bo21bo3b2ob2obob2o32bo3bo17bo3bo15bobo3bobo$o3bo9bobo9b3ob3obob3o
11bobo40bo5bo13bobo5bobo$o25bobob2obob2obobo29bo7bo13bo7bo11bobo7bobo$
bobo8bobo11bobob2o4bobobo11bobo36bo9bo9bobo9bobo$27b2ob2o3b3obo28bo6b
2o3bo9bo6b2o3bo7bobo6b2o3bobo$10bobo14b2obo5bob2o14bobo17bobo12bo6bobo
4bo5bobo6bobo4bobo$6b3o18b2obo2b2o3bobo17b3o3b3o9bo5b3o3bo9bo5bo3bobo
9bo5bobo$10bobo13bo2bobob2o3b2o14bobo32bo13bo5bobo13bobo$30bo3b6o28bo
11bo9bo11bo7bobo11bobo$12bobo3b2o6bo2b2o5bobobo11bobo36bo9bo9bobo9bobo
$17b2o11b2o3b2o3bo29bo7bo13bo7bo11bobo7bobo$14bobobo7bo2bob3obobo2bo9b
obo40bo5bo13bobo5bobo$28b2o5bob2o33bo3bo17bo3bo15bobo3bobo$16bobo8bo3b
o3b6o7bobo44bobo17bobobobo$74bo21bo19bobobo$18bobo25bobo25bo42bobo$74b
o43bo$20bobo21bobo2$22bobo17bobo2$24bobo13bobo2$26bobo9bobo2$28bobo5bo
bo2$30bobobobo2$32bobo2$33bo$33bo$33bo!
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islptng
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

b-engine wrote: January 25th, 2025, 2:44 am Some sort of stop-and-go turning reaction by sending a box (analogous to the smallest spaceship, i.e. box in Stopbox) towards a c/6:
Some sort of a slide gun:

Code: Select all

x = 33, y = 12, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
5o11b3o$obobo11bobo$5o3b2o6b3o$8bobo5bobo$8b2o6b3o3$3o6b2o9b2o9b2o$obo
5bobo9bobo8bo$3o6b2o3b3o3b2o$obo11bobo14bo$3o11b3o14b2o!
c/6 gun by accident:

Code: Select all

x = 31, y = 27, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
5o11b3o$obobo11bobo$5o6b3o2b3o$11b2o3bobo$11b3o2b3o$28b3o$28bobo$3o2b
3o15b3o2b3o$obo3b2o15b2o3bobo$3o2b3o6b3o6b3o2b3o$obo11bobo$3o11b3o4$5o
11b3o$obobo11bobo$5o4b3o4b3o$9b2o5bobo$9b3o4b3o3$3o4b3o$obo5b2o$3o4b3o
4b3o$obo11bobo$3o11b3o!
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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

islptng wrote: January 25th, 2025, 9:01 am
b-engine wrote: January 25th, 2025, 2:44 am Some sort of stop-and-go turning reaction by sending a box (analogous to the smallest spaceship, i.e. box in Stopbox) towards a c/6:
Some sort of a slide gun:

Code: Select all

x = 33, y = 12, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
5o11b3o$obobo11bobo$5o3b2o6b3o$8bobo5bobo$8b2o6b3o3$3o6b2o9b2o9b2o$obo
5bobo9bobo8bo$3o6b2o3b3o3b2o$obo11bobo14bo$3o11b3o14b2o!
Some sort of extender or stacker:

Code: Select all

x = 84, y = 62, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
82b2o$82bo$82bo$5o14b3o60bo$obobo14bobo60b2o$5ob3o10b3o$6b2o11bobo$6b
3o10b3o3$3o34b3o29b3o10b2o$obo34b2o30b2o11bo$3o14b3o17b3o29b3o10bo$obo
14bobo62bo$3o14b3o62b2o16$77b2o$77bo$75b3o$77bo$77b2o9$76bo$75bobo$75b
3o5$3o14b3o62b2o$obo14bobo62bo$3o11b2ob3ob2o30b2o$obo10bobo5bobo29bobo
26bo$3o11b2o5b2o30b2o27b2o$17bobo2$19b3o$19bobo$5o14b3o$obobo14bobo$5o
14b3o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
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Aleph
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

I did not expect to see an (8,5)c/117 spaceship while rulegolfing.

Code: Select all

x = 9, y = 9, rule = B2en35qr/S2-i3-ae
5b2o$4bo$8bo$bo6bo$o7bo$o$2obobo2bo$6bo$6bo!
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eRroR_6o6
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by eRroR_6o6 »

"I mean it only has S2 how can it have anything other than some margolus and maybe a few uninteresting spaceships"

Code: Select all

x = 2, y = 4, rule = B2ce3/S2
2o$bo$2o$bo!
(8c/76d)

Code: Select all

x = 19, y = 37, rule = B3/S23
13b3o$12b4o$11b2obobo$13bobo$15bo12$10b2o$bobo7bobo$o7b2o3b2o$o3bo2b3o
3bo$o6b4obo$o2bo7bo$3o12bobo$18bo$14bo3bo$14bo3bo$18bo$9bo5bo2bo$8b3o
5b3o2$10bo$2bobo4b2o$5bo2b3o$5bo2b3o$2bo2bo2b2obo$3b3o3b3o$10bo!
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get_Snacked
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by get_Snacked »

eRroR_6o6 wrote: January 27th, 2025, 12:07 pm "I mean it only has S2 how can it have anything other than some margolus and maybe a few uninteresting spaceships"

Code: Select all

x = 2, y = 4, rule = B2ce3/S2
2o$bo$2o$bo!
(8c/76d)
already known:
Sarp wrote: January 20th, 2020, 2:09 pm 1 and 2 are not exactly correct:

Code: Select all

x = 2, y = 4, rule = B2ce3/S2
2o$o$2o$o!
There are many specific situations that affect explosivity that it is extremely hard to make generalisations.
EDIT: also it's p74 not p76
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Gustone
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Gustone »

Moosey wrote: September 29th, 2019, 2:16 pm And:

Code: Select all

x = 11, y = 7, rule = B2cen3ck4cer5c/S13n4y
bo$obo2$o2bo5bo$3b2o3bobo$o3b2ob3o$bo!

Code: Select all

x = 104, y = 77, rule = B2cen3ck4cer5c/S13n4y
94bo$93bobo2$93bo2bo5bo$96b2o3bobo$93bo3b2ob3o$94bo68$o$bo$bo!
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PiSpaceships
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

I will tell you a story about two spaceships: Pi Spaceship and wanderer.

When I evolved some patterns (literally) by hand in an uninteresting rule, I suddenly realised that pi-heptomino is a failed spaceship.

Code: Select all

x = 3, y = 3, rule = IceB
3A$A.A$A.A!

@RULE IceB

@NAMES
0 air
1 ice
2 water

@COLORS
0 48 48 48
1 160 245 255
2 5 60 255

@TABLE
n_states:3
neighborhood:Moore
symmetries:reflect_horizontal

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i={0,2}
var j=i
var k=i
var l=i
var m=i
var n=i
var o={0,1}

#B3-a & S3-a
o,1,1,i,1,j,k,l,m,1
o,1,1,i,j,1,k,l,m,1
o,1,1,i,j,k,1,l,m,1
o,1,1,i,j,k,l,1,m,1
o,1,1,i,j,k,l,m,1,1
o,1,i,1,1,j,k,l,m,1
o,1,i,1,j,1,k,l,m,1
o,1,i,1,j,k,1,l,m,1
o,1,i,1,j,k,l,1,m,1
o,1,i,j,1,1,k,l,m,1
o,1,i,j,1,k,1,l,m,1
o,i,1,1,1,j,k,l,m,1
o,i,1,1,j,1,k,l,m,1
o,i,1,1,j,k,1,l,m,1
o,i,1,1,j,k,l,1,m,1
o,i,1,1,j,k,l,m,1,1
o,i,1,j,1,1,k,l,m,1
o,i,1,j,1,k,1,l,m,1
o,i,1,j,1,k,l,1,m,1
o,i,1,j,1,k,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,1,j,k,1,l,1,m,1
o,i,1,j,k,1,l,m,1,1
o,i,1,j,k,1,1,l,m,1
o,i,j,1,1,k,1,l,m,1
o,i,j,1,1,k,l,1,m,1
o,i,j,1,k,1,1,l,m,1
o,i,j,1,k,1,l,1,m,1
o,i,j,k,1,1,1,l,m,1

#S23a
1,1,1,1,i,j,k,l,m,1
1,i,j,1,1,1,k,l,m,1
1,1,1,i,j,k,l,m,n,1
1,1,i,1,j,k,l,m,n,1
1,1,i,j,1,k,l,m,n,1
1,1,i,j,k,1,l,m,n,1
1,i,1,1,j,k,l,m,n,1
1,i,1,j,1,k,l,m,n,1
1,i,1,j,k,1,l,m,n,1
1,i,1,j,k,l,1,m,n,1
1,i,1,j,k,l,m,1,n,1
1,i,1,j,k,l,m,n,1,1
1,i,j,1,1,k,l,m,n,1
1,i,j,1,k,1,l,m,n,1
1,i,j,1,k,l,1,m,n,1
1,i,j,1,k,l,m,1,n,1
1,i,j,k,1,1,l,m,n,1
1,i,j,k,1,l,1,m,n,1

#Water->Ice
2,a,b,1,c,d,e,f,g,1
2,a,b,c,d,1,e,f,g,1
2,a,b,c,d,e,f,1,g,1

#gravity
i,2,j,a,b,c,d,e,k,2

#defaults
i,a,b,c,d,e,f,g,h,0
1,a,b,c,d,e,f,g,h,2
Edit: yes, technically it is a spaceship, but actually any configuration of water cells is a spaceship, so it doesn't count.

I decided to turn it into a spaceship... and I did it. I called it Pi Spaceship, because it's unique to me.

Code: Select all

x = 3, y = 3, rule = B2e3-a/S2-a3
3o$obo$obo!
Then I realised that there are lots of rules that enable this spaceship. When I started rulegolfing these rules, I saw something moving away from the soup...

Code: Select all

x = 248, y = 175, rule = B2e3-a/S2-a34a
b3o2bobo2b3obo2b5o2b3o4b2o4bob3o2b5obob2o2b2ob2obo3bob3obobo2b2obobob
3o6bob2obo2b3o3b3ob3ob2o4bo2b2o2bobo2b3o4b5o3b7ob2ob3obob2o2b3obob3ob
2obobobo2b2obob2obo2bobobo2b2o2bobo4bo2bob3o10bo2bob2o2bo$8o3b5o2b4ob
4obo3bob2ob2ob2o2b2ob2obobo4bo2b3o4b2o2b3obo2bobo2bo3b2obob3ob2obobob
2obob3o4bo3bo2bo2b4obobo2b2o2b4o3bo2bo4bo3b6ob5obob2o2bo4b2ob2o3b4obob
o5b5o2bo3bob2o4b4o2b2obo5b2o2bo3bobo$4obob4obo5bob2obo9bobob2ob5o4bo3b
o2bobo2bo2b2o2b3o3bob2ob4ob2ob2o3b6o3b3o4b4ob3o5b3ob3obo2bob2o2bobobo
2bo5b6ob2o4bob3o3b3o2b2ob3o4bo2bo5bob3ob3o4b3o2b3obob3o5bo2bo6b2ob4o2b
o$bobo2bob2o4bob3o3bo5b2o3b2o2b3o2bob2o2b2o6bobob2o4b3o2b6obo5b2o3b3ob
2o3bobob2o2b3ob3ob3o2bo2b2obo2b3o2bobo2b2obob2o2b2o4b3o9bob2obo2bo2bob
9ob2o5bo2bobob2o3bob4o4b2o3bobob2o2b2obob5obo2b2o$o2b3obo2bo2b2o5bobo
2bobo2bob2obo2b2o4bobob4obob2obo3bo2b2ob8o5bo2b2o3bo4bob7ob2ob4o4bo5bo
2bo2bobo2bob3o2b3o2bo4b3o2bob2o4b4o2b2ob2o2bob8ob3obo6b5obo3b2o2b2o3b
2obob2o3bobobobobo2b4obobo$2o3b2ob3ob2obo2b2o4b2obo2b5o3bob2o2bo3b2obo
b2obo4bobo3bo2b2obobobobob2obo3b2o2b2o2b2o2bo2b3ob2obo7bo2b4o2b2ob6ob
3ob2ob6ob2ob2o4b3o2b2o4b3ob4o4b3obo2bo2bo2bob2o3b3o2b2o3b3o2bob3obo2bo
5b2o2b5obo2bo$o4b3ob2o2b3ob2ob3o2b3o2b4o3bo4b2ob6o4bo2b4ob2ob4ob2ob5o
4b2obo6b2o2bobo2bo2bobo2bob7obo2bo2b4o7b2o5b2obob2ob3o4bo2bo4b2o2bob4o
bobo2bob3ob2o2bobo3b3o2bo2b2o3b2ob5obo3bobo3b2o2bob5ob2o$bo4bo5bobob3o
5bo6bobobo2bobob2o4b2o2bobobob3ob2o3b5o4bob3o3bob4obo2bobob4obobo4bo9b
3ob2o2bo2bo3bo2b3obo2b2ob6obo3b2obo4b3obo2b5o3bo3bobo3bo2b3o5bobo2bobo
4bobob2o10b5o2bob6obo$8bo2b2obo3bobo2bobo3bobo2b3ob7ob8obob2o3bob2o2bo
bobo2b2ob2o3b3ob3ob4ob3obobo2b5ob3obob3o2b3ob3ob2obob4ob2obo6b3obo2b2o
b3o5bo3b3o3b4obobob2o2b2obob4o2bob2o2bo3bobo2b2o2b3ob2o3b3ob2obo6b4o$
7b2obo3b4obo2b3ob3obobo2bo2b3o2bo2bo2bo4bo2b2ob2o2b4o2bo3b2o3b2ob5o4b
4obob6o2b2o5bobo2bob3ob6obo8bobo3bob4o3b2obobobob2ob2o3b3o5b5o4bo2bo2b
o4b2ob2o2b2o3b2obobo3b2obo5bo2b2ob3ob2ob3o$obobo4b3obo2bob4o2b2o2b2ob
2ob3o3bo2b6o2b2ob2ob3o2b3o4b3o2b3o2bob2ob2ob2ob4o2b2o8bob2o3bo4b2obob
3o2bo10b8o3b2o2bob3o2b12o2bob2obo2b2o2b2ob2obo2bo2bo3bo2bo5bobo4b3obo
2b2ob2ob2ob2o2b3o2bob2o$o3bob2o2bo2bob3obob6ob3obobob2o3b5ob3obo3b2obo
bo2bo3bo4b2ob4ob2ob6o2bo4b2ob3o4b2o3b5obo2bo2b3o2b2ob2o3b3obob3obo3bo
2b4obo4bo6bo2b2o2b6o2b5obob2o4b4obob4o5bob4o3bobob3obo2b3o4bo2bobo$bob
o3bo2bo4b2obob3ob3o3bob8o2bob3ob4obobo2bo3bo2bobob2o4b2obobo2b3o2bo2b
2ob8obo2bob2ob2o7b2o12bobobo2b2o2bobob3o2bob3o4b2o2bob3ob4o4bobobo2bo
4b3o4bobo3b2ob2o4bo2bo2b2obob3ob2ob4o2bob2o$3b2obob3ob3o2b3o5bobobo3b
4o4bo2b2ob2o2b6o3bobobob8o3b3obob4o2b2o2bobobob2obob3o2b2o3bobob7o2bob
8o4b2o2b2o4bobob3o3b3ob2o6b2obo5b4o4b5obob2o3bo3b4o4bo3bo2b2o7b4ob3o5b
2obo$b5obobobo2bo2b5ob4obo3b3o2bo8b2o2b10o4b2o2b2ob2o2bo2bo3bob3obob3o
2b2ob3obob3obobo4bobo6bo5bo2bob4o3b3o2bob2ob2o5bobo3b3o4bo2bobo3b2obo
2b4obobo2bo2bo2b3o3b2ob2o2b2ob4ob2o2bobo4b3ob2obo4bo$b4obo2bob2obob6ob
o3bob3obobo3bo3bo2bob5obo2bo4b3o2b2o3bobo2bo2b2ob2obob3obo3bo3bob2obo
4b2obo4b2ob2ob2o2bo10bo2b3o2bobo2b2obobob5o2b2ob3o2b3o5bo2b3ob4o8b3obo
2b2o7b5ob2obobo6bobo3bob4o$5b2o2bo2bob3o2bo2b2o3bobo6bob2o2bobo2bob5ob
obo2bobobo2bobob2o2bob3obob2obo3b2obo4bo5bo6bobo3b4o3b6ob2o2bo3bobobo
2bobo2bo2b2o5bob3obob4o2bobo2b3ob3o4b6obob3o2b3o3b2obo4b2obobob2o2b3ob
ob2obob3obobo$2o3b2obo3bo3b2o3bo3bobobo2bo2bo3bobobo4bob2o2bobo4b5o4bo
b2o2b3ob2o3b2o3bobobo3bob2obo3bob2o2b3o3bob4obob3obob2ob2o2b3o2b3ob2ob
7o2bob2o2b2ob3ob2o5b2o4bob2o2bobo2b3o2b3o3b4obob7o3b3obo2bo3bo3b2obo$b
o4bo2b2obobobo2bobo3b2obobo2b4obobo3bo4bobob2ob2o2bo3b3o6bobo2b4obo2bo
b2o4bo4bob2o2b3ob3ob2o4b6o3b2ob5obo4b2o4b2o5bob3o2b3ob4obo2b3o2bob2ob
4ob2o5bo3bobo2b3obobob2obo2b2ob3o3b3obo2bobo6bo$3o4bo2bobo3b2o4b2o6b3o
3b3ob2o2b6o4b3ob3o3b2ob2ob2obo3b5obo5bob2ob2o7b3ob3obobob3ob3o2b5o4b2o
bob2ob5ob2obo4bo8b3o3bobo3b4o3b2o2bob3ob2obobob3o3b2o3b3o3bo2b2o2bob4o
3bobob2o2b2obo2bo$obo5b3obo2bo3b2o3b2obobobobo2b3o3b2ob2obobob2obob2ob
2o2bo2b3o2bo4bob2ob2ob3o3bob3o2bo2b2obob5ob3o8b2o3b2obo3b4o12b6o3bob3o
b2o3b3ob3obo4bobo2b2obo2b3obo2b2o2bobo3b2obobob2obo2bo5bobobo2b3o3bob
2o$7obo2b3obobo3b2o3bob2o2bo2bo2bobob2o3b2obo2bo3b4o4bo3b3o2b5o9b2obo
3bo2bob2o5b5o2bo2bob2obo2bob2ob6obo2b5obobo4bo2b3ob2o2b2obo2bobo4b3o2b
2o5b2o5b4obo5b2o2b4o2b5obob2o3bob3ob3obob3obo$bobobobobobobo3bo4b5ob3o
2b2ob3ob2o2b3ob2obobo2bobob4ob3obo2bo4bo3bobo4b3obo2b2o2bob2ob3o4bo2bo
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2b2o2bo2b2obob2o3b2obobo$2o5bo3bob2ob2ob2obo2b2o3bo2b2obo6bobo3bo2b3o
2b5ob3obobo2b2obo3bob3ob2o2bo2b2obo3bo2bo2bo2b3o2b2o3bo4b2o2b2ob3o3b3o
2bo2b2ob3obo2b2ob2o3bob2o3b4o2b2o4b2o2b2obobobobobo2b2o2b2o2b2ob2o3b2o
bob3ob3ob2obo5bo6b3o$3obo9bo2bo4bobo2b2o4bo2b5obo3b2o2b4ob2o2b2o2bo2b
6o3b3o10b2ob2obobo7b5obobo4b2obob2o2bob2obob2obob3obo4bobob3o4b3o2b6ob
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bobob2ob2obo3bobob4ob8obob2o3b2obo2bob3o3b4obobo3bob2o2bob2o2bobo4bo2b
2o6b3o2bobobo2bo5b2o2bob2obob3o3b2obo4bo3bobo2bo2b2o2b2o5b2o2b8o2b2ob
3o2b3ob3o2b3o$4o2bo3bo2b3o6b2ob3o2b7ob4o2bo5b3o2bo4bob2ob4ob2ob3o2b3o
5b2obobo2b3o4b3obobob4obob2o2bob2ob2ob4o2b5obo2b4o3bob2o3b4obob8o2bobo
2b5ob2o5b2o3b2o2b2o2b2obob4ob5o2b3o5b2o3b2ob2o2b5o$7o3bob2ob2o3b2ob2o
2bo4b3o2b2obo3b6ob2obob4ob2obo6bob2obobo2bo3bo2bo3b2obobob2ob2o4bob2ob
4ob2obo4b2o2b3o4bo3b2o2b5o2bob5ob2o3b2o5bo2b2obob3ob4o6bob3obo5bobo2b
2o2bobobo2b3o5bob3o3bo2bobobobo$2o4b6o2bobo3b2o3b2ob2o4bobo2b4o2b6ob2o
3b3ob2o3b2ob4obo2b2o3bob2o3bo5bob3o3b3ob3obo4b2obobo2b2o2b4o3bob2ob2ob
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2bo2bob4obob2obo3b3o2b5o3b6ob2ob4o2b3o3bo3b3o2bo2bobo$2b4ob5ob4obo4b3o
4b2obo4b3o3b9ob4o4bobo3b2o2bo2bobo3b2o4bo2bob3ob2obobo5bob2o3bo3b3o2b
2obob8obob6o6bobo2b2ob4ob2o2b2o2b4o2bo3b2o3bo2bo2bo2bobobo2b4ob9o3bo6b
4obobo3b2obobobo$obo3bob4ob2o4b2ob2ob5obo2b7obobobo2bobo4bobob2obo4bo
2bo2b3o6bo2bob4ob2o3b2obo2b3ob6o9b7ob2obo3b2o2b3o3bo8b5o3b2obob2o3b3ob
4ob4ob5o2bo2b4ob2obob3obo2b2ob2ob4obobobo4bobo2b2o2b3o$4obobo2b5ob4ob
4obob4obob2ob4obo5b2ob3o2bobob2o3bo3bob4o2bo2b4o2b2obobo3b3ob2o2bobo3b
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3bo4b3ob3ob3o3bo2bo2bo4b3ob5o2b2ob2o7b2o$2b3obo7b2obob3obo4b2o2bob2obo
2bobob2o5bob2obo2b3o2bobo2b3o3b2ob5obob2o4bob2o2b2o2bobobobo2bob3o4bo
3b2o8b2ob4o2bobobob2o3b4o6bobo3b2obo4b2o4b2o2bo2bo2bobob2o2b2o2bobo3bo
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3bob3o2b3ob2o2b2o2bobob2ob7ob2o6b2o3bo5bo3bo4bo2b4o2bobo2b2o2b5ob2o3b
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2bo6b6ob5ob3o4bo3b2ob2o2b2obo6b2o2b4o4b4ob3o3bo2b2obob2o3bobo2bobobo9b
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4bob4o3bo2b4o3bo2bo4b2o2b5o$3obo2b3ob4ob6obo3b4o3bob6obo2b2o2b3ob2o5bo
2b3o4b2o3b2ob2ob6ob4o3bob4obob2obobobob2obo7bobob2o2b2ob5o3bobobo2b2ob
3o3b3o6bob2o3b2o2b2obo4bo3b2o4b5o2b2ob4o2bo2bobo3b4o2bo3bobob3o3bo$3bo
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3o2b13ob4ob3o4b4obobob4obobo3bob6obob3obobo2b2o3bo2b2obo4bo2bo4bob3o
10b3o3bobo$5b3ob4obo2bobob4o8b4obob2ob3o3bo4bo3bo2b2o2b2ob2obobo2b5o2b
2o4b3ob2obob3o3b2o2bobob2o2b3ob2o3b2ob3obob3obo2b2ob2o2b3obo2b8o10b3o
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4b2obo2b4o2b4o2b3ob2o2bob2o2b4ob2ob3o3bobobo2b5ob3obobobo3b2obo3b4obob
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2o3bobob6obobo3b6ob5obob2obob6o4bobo2bobo3bo7b3o3b2o2b2o2bo2bo2bo5bo3b
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2bo4b2o3bobob3ob2o3bobobob8ob2o2b4o2bo2bo$2bo3b3ob2ob2obob3obob2obo2bo
3bo3bob3obob2obobo2b5o2bo3bob2ob4obo5b4o2b2obo6bobo3b3o2b4o2bob2o3bobo
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3o2b5obo3b2obo3bo4bo$2b4o2bo3b2o2b2obo3b3obo2b2o3bo3bobobo2bo5bo2bo5b
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4o5b2obobo2bobo2b2o2b3o$obobobobobo2bo2bobo2b3ob3obo4bob5o4b8ob2o2b2ob
2o7bob3obo4bob2o2b4obobob2o4b2o2bobob2o6b2o9b3o3bob2obo3bob4o2b4o3b7ob
10ob2ob2obob2o5bob2o2bo5bo3bo2bobob2o3bo2b3ob3o3b2obo4b6o$o3bob4o2bob
2o2b2o2bob3o3bobo3bob2o3b2obo3b3o6b4ob3o2bo2b2ob4ob4o2b2obo4bo3b5ob3o
2b3o2b2o4bo3bo3bob3obo3b5ob3o3bo2b9obobob5ob2o2b3ob2obo2b3obob4o10b2ob
2o3b3ob2o2bo6bob2o2bobobo3b2o$bo2b2o2b2o2bobobo2b2obo3b10o2b2ob2obo7b
2o2bob5obo4bobo2bo3bob2obo6b3o2b3ob2o2bo2bo2bobo2bo2b2o2bobo2b3o5b2o3b
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2o3b5o$b3o4bo2bo3b2obob2o2bobob4obo7bo3bo5b3o2b2o2bobo6b2ob4ob2o2bo3b
3o8bobo2bo2b4ob3o2b3o3b3o6b3obob3o2b2o9b3ob8o3bob2o2b4obo4bob2o2bo2b2o
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4b4o2b5obo3b3o4b2o2bobobo2b2o2bobo2b3o3b2o5b3o2bob2obo2b2ob2obo2bo3b6o
3b2ob2ob3o2bo2bob5ob7o2bo2b2obobobo3bo2b4obo3b4o4b2o5bobo4b2o2b2obob5o
4bobo2b2obo2b6o$3b3obobob4obob2o2b2o4b2o4bo4b3o3b3obob2o7bob3o2bo5b3ob
2o3bobob7o2b2ob3o2bob3obo3b2o3bobob4obo2b7o3b2o2bobob2o2b2o2b6obobo2b
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5o4bobob4ob7o2b4o3b8ob3o5b9ob2o4bo2b3obobo4b3ob2obo3bob2o3bob2obobobo
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4bo4b3obo2bobob5obobo$3b4o5bo3bo2bobo2b2o2bob2o2b3obobo2bo3bo2bob2o3bo
4bobob3o2b2ob2o2bobo3bo4bo2bobo2b2obob4o4b2o2b5ob2obobob2ob5obobob2obo
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b3o2b4obo$7o2b5o2bo2bo2bo7b3obob3ob2ob3ob2obo5b3ob8ob4o2b2o4b2ob2o2bo
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3bobobo2bo3b3obo3bo3bobob2ob5o2b4o2bo4bo$2obobo2bo2b7o6bobo4bob4ob2ob
2o4bob2o2b3ob2o2bob2ob2o2b2o2b2o6bob5o4b2obob2ob6o3b2o3b2ob2o4bo2bob3o
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6obob8ob4o$3b3o2bo2bo2b6ob2obo5bob2ob2ob3o5b2o5bo2b4ob2o2b3o2bo2bob4o
2bobobo3b2ob4o3bobob3o2bobobo2b2ob2obobob3o3b2obobo2bob2o2bob6ob5ob7ob
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3obobobo5bo2bo2b2o2b3ob2obo2b3ob2o2bobo2bo2b2obob5o4bo2b2o2bo3bo3bob2o
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8bo2bo3b2o3b6o2b2o4b2obobobobobobo$3b2o5b2o5b2o2bo2b2obo3b2o3bob2ob2ob
2o5bob3o2bo5b6o2b2o4bobob2o3b2o5bobob4o6bo2bob2o2b8o2bobo2bobo2b6o3b2o
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2o5b3obob3o$b2o2bob2o2b2ob2ob2ob2obo2bobo2b2obo3bo3bobo2bobo3b2o3bo2bo
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3bo3bobob2ob3o3b3ob5ob2o2b3obo4bo2b3ob4obo3bobobobobo9bo2b2o2bobo$2b6o
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2bobob2ob3o2bobobo4bo5b5o2b2ob2o2b3ob3obo5b2ob3o2bo3b2ob4o5bo2bob2ob2o
4b5o4bo8b4obob2o2bobobo2b4ob2o3b2obobob3o3bo$3o3bo2bo3bob2obob2o2bo4bo
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$3o4bob2o2b4o3b11obo10bo3b2o2b2ob2o2b2obo2bo3bob2ob3ob5obo3bo3b2o2bo2b
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3bob3obo2b4obo2bob2obobob2obob2ob2ob3obobo2bo2bo$obo2bo2bo2bo4b3obo6b
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2b2obob3obo5bo2bo3b2obobobo6b2obobo2b2ob2o3bo5b3o2b2ob2ob2ob2o2bo7b4ob
2ob2ob3o$o6b3obo4bo5b2o3b4o3b3ob3o8bobo2bob5o2b4o5bo2bobo3bobob3obob3o
b2o4bob2ob2o2b3o2bobobo5b3o3bo2bo4bo6b3ob3o3b2obob2o6b4ob2o2bo3bo2bo2b
obob3ob4o2b2obobo8bo2bob6o2b2o5b3o2bobo2b2o$2o2bo2bobo3bob2o2bo5bob2o
2b2ob2ob2obob4o2b7o2b2o2b4o2bobo3bobo5b5ob2ob2ob2o2b3o7bo2bo2b3ob2o3bo
3bo2bobobob2ob3ob3obob2o2b3o2b2ob4obob2o2bob3o3bobo2bo2b3o4b2o7bo4b5o
2bo2b2o4b3obo3b2o2bobob2o2b2obo$2o2b2o3b4obob2obob3o2bo3bobob3ob3o3bo
2b4obo3bo4bo2bo2bo2b2o3bobobo2bobob2o2b2o5bo8b3o2bobo2bo3b4o4b2obob3o
3b2o3b4ob2o2b2ob3o3bo2b3o2bob2o2b2ob5o3bo4b2o3bob5o5b3o2b2o2bobobobo8b
3o2b5obob2o$o4b3o3bob3ob2obobob2ob2obo2b2o2b3ob2ob3o2b2ob3obob3o3bobob
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2ob2ob2o2b2o5b3o3b3o3b2o2bobob3ob4ob2obo3bo7b2o2bo4bo4b2o2b2obo3bo3b2o
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3obobo3bob2o2bo7bo2b2o2b3o2b4ob4o2bo3bobo2bob2o4b5obo$o2b3o2bobob3ob2o
bobo4bo3bob2o4b2o2bobobob2obob3o5bo4bob3obo3bo2bobo2b3obo3bo2b2obobo2b
obo3b4obo2b3o2b2o3bo2bo2bo4b3o2b3ob3o2b2ob2obobo2bobobo3bobo2b2o2bob2o
2bob4o3bobo2bobob5o2b7o2b11ob2o2bo3bo2bobobo$ob3ob3obobo3bobob2o3bo3bo
5b5o5bo3b2ob3o4bo2bobo2bobo3b2obo2bob3ob2o2b3obo4b4ob3o3b3o2bo3b2o3b2o
bo2bo2bobob3o2b3o2bob2obobo2b4obo2bo2b2o2b3o3b3obobobo2b4o2b5o2bobob2o
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7b4o4b6ob3o2b4ob3ob2o2bobo3bo3bo2b2o4b2ob3o6bo3b2o3bo5b3o3bo4b3ob3o2b
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bo2bo8b4o2b2ob3o4bo3b3o4bo5bobob3ob5ob3obo2bobo2bob2obo3bob4obobob2obo
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4o3bobo2bo2bo5b3ob3obob2o2bo6b4o6bo2bobobo$6o2b4o2bob2obo4b2obo2bo3bob
5o3b3o2b2o3bo2bob2o3bo2bobobo2b4ob4ob3o2bob4o3b6obobo4bo3b2o2bo4b2o2bo
3b4o5bo2b2ob4obo3b3obobo5bob6ob2o2b2ob2o2b2o3bob2o6b6o3bobob2obo2bo2b
2obo3bo2b2o3bob2obo$o2bo3b2o2bobob2o4b2o2bob2o2bo4b2ob3o4b2o5bo3b4o2b
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obobo2b3o10b2obo2bobob3o9b2ob2obo5b6o5b2ob5obo3b2ob3obo3b2o2bob2ob2o$o
bo5bo2bo3bobo2bob3o3bo4b2ob6o2b3ob2ob2o4b5obo3b2obob2obo2b4o5bo2bobo2b
3o2b5obob2ob2ob2o3b2obob3obob9obo4bobobo3b2obo2b3obo2b2obob2ob2obobo3b
3o4bobo2bo3b4obo3b4o4b3o6bo2bobob2o2b5obo4bo$3b5obo4bo2bo3bob2ob5o2b5o
2bo2bobobo2b2ob2ob3o2b2o2b4o6bobo7bob5o2bobobobobo2b2ob2ob7o2b4o2bobob
2ob2o3b2o4b2obo3bob4ob2o2b2o2b4obobo2b3ob2o3bo2bo2b2o4bo4bo2b7obo2bobo
3bobo2bob3obo2bobobob3o2bo$o6b3o3b3obob2o2bobo2bob5o3b2o3b6ob3o4bobo3b
2o3b4o7bo2b2o2b2o2bob3o2bo5b2ob3o2bo6b2o2b5o2bo2b5ob2ob2o11bo4bobob5o
3bo2bobo3b7obo2bobo2b3ob5o4b2o3b3o2b2o5b3obob2ob2o2b3ob2ob2o$3ob3ob3ob
ob2obo4bob3ob2ob3o3b2o2b5o2b2o3bobo3bo2bo2b2ob7obob5o4bo2bobo3b2o2bob
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2o2b3obobob2ob6ob2o2bo2bo2b2o3b2obo7b3o4bobo2bo2bo$2obobo2bob2o2bobob
2obo3bobo3bo2b5o4b2o2bobobobo3b2o2bo2b4ob2ob2o2b3o2b5o5bob3ob3o2bobo2b
5ob2o2b3o2b3ob2obob2o2b5obob2o2bob4o2b2o2bob2ob3ob3obobo3bo3b3ob5ob3o
2bob2ob2ob2o3bo6bo4b3o2bo2bo6bobo3b2o2bo$4bo2b5o2b2o4b9o3bo2b2o2b2o3bo
b2o2bob2o3b2o4b2ob2o2b2o4b2o2bo2b2o2b2o2bo4b3o2bob2o3bobo2bob2ob3o3b7o
bobo2bo3b3obob2obo2bobobo3bo3bo3b2ob2o6b5o2b3o5b2o4bo3bobob3obo4b2o5b
2o2bo3bo4bo3bobo$ob2obo2bo2b4o2bob2obobobobobobob2o3b4ob2o3b2ob2o2bob
2o5b4obobobo2bo7b2ob3o7b4ob2ob2ob2o3b4o4b2ob7o3b2obob3o3b3ob7o2b4o3bo
3b2obo2b4obo2bobobo2b2o3b2obob4obo2b2o3b2obobo6b2ob4ob2obobo5bo$b4obob
5o2b2o2b2o2b3ob2ob2obob2ob8o3bo2b3o6b5o3b4o2b5ob2o3bob3ob3ob3o4b2o2bo
3b3obob2o2b2ob3o6b5obo4b2ob2o3b2o5b6obob4ob2ob3ob2o3bob2o3b2o4b2ob5ob
10ob3o2bobo2bobobo2b2o2b2obo2b3o$5bo3bo3b2o4bo2bo3b4o6bo2bob4o2b2o2b2o
4bob3o5b4ob2ob2o2b2o3b3obo2b2ob2ob2o2b4obobo2bo3b2o6bobob2ob4obo2b2obo
b2o2b5obobob2ob4obob2obo7bo4bo2bob4o2b3o5b6ob2o2b8o4bob2ob6obobo2bo2bo
bo$o2bo2b3obob2o2bob2o3b4o2b2ob5obo2bo3b3obobo5b3obob2obo2bob5ob2ob3ob
3o2bobo2b3obob10ob2obob3obobob2ob3o3b2o5bob3ob3o2bobo2bobo3b7o2bo4bo2b
obobo2bobob3ob2obobobob2obo5b2obo3b2obo4bo2bo3b6obob2o2bo$bob2obob3o2b
3obob6o2b4o3b4o4bo3b2o3b3o2bob3ob2o3bobobob2obob7o2bo2bobo3b6o4b3o3b2o
4bobobobo4b4o6bobo2b2o3b2o2bo2bob2obo2b3o2bo2b4obo4bobob3ob3o3b2obob2o
2bobo3b3obobo4b2o3bob2ob2o2b5o3bo$obo2bob6o4bo2b2obo3b3o2bo2b2o2b2obob
o2b3obob4o3bo2b3obo5bob3o5bob2o2bob2o2b2o2b7o4bo2bo2b2o2b2ob2o5b5ob2ob
ob4o2bo7b3ob4o2b2ob2o2b2obob2obob3o2b2o2bobo2bobob2o2b4o3b2ob3o3bob2o
2bobo2b3o3b3obobo$2bo2bobob3obo2bo5b6o2bob3ob2ob2o3b4obo2b2o2bo4bobobo
b2obo2b3ob2o4b2o2bo2b2obo2bo2b3obobob2obob3o2bo2b5o4b3o2b11o2bo2b2ob3o
b2o2bobobob2o4b3o2b2obo2b2o2b3ob3ob2o3b4o2bobobo2b2ob2obo4b3obo4bobo2b
ob3obobo$bob2obo2b3ob2obo2b7ob2obo4bobobobobobob2o2bo4bobo2b2o2bobobo
4b2ob2ob3o3b4obobobo2bo3bo2b4ob2o2b4ob2o2bobob3obob2ob4o2bo3bo4b4o2b3o
2bobo3bo5b2obob2ob2o3b4obo5b2obob2o3bobob2obob2o3b3ob8o2b2o8b2o$ob3obo
4bobob3o4bo5bo4bob4o2bobo4bob3obo2b2ob2obo3bo4b3o3b2o2bo4bo2b2ob2o2bo
3b2ob2o4bo3b3ob2obobob2o5bo2b3obob3o2b2o2b5obo6b2o2bo4bob2ob3o3bo2bobo
b3ob3obo2b2obobobob2obo3bo3bob4ob2ob2obobo4bo3bo$3b5obo2bob2ob3obobob
3ob2obo2bob2ob4ob3o2bob2o3bo3bobo2bo2b2o2bo7bo2b2o2bobo2b4obob2o2bo3b
2o4b2o4b7o4bobobo2bo3bo4bob4obo2b2obobob3ob2o3b2ob3o7bo3bo2b2o4b2ob3o
2bobobo3b2obo4b2ob3ob3obo2b2ob4obobo$2ob2o2bo2b2obo3bo2b3obo2bob2obo6b
3obobob2obo2bobo2bob3o2b2o4b2ob2ob4ob2o3b3o2bo2bobobo4bob2o2b4o2bo2b2o
bo2b2ob2o2bobob5o4bobo2bo3bob2o2b2o2bob3o2b2ob4o2b3ob2obo2bo2bo3b2ob2o
2bo3bo3b3o2bob4o3bo2b2obobob3o2bo2bo$2b5o2bobo2bo3bobobo3b2o3bobobo4bo
2bo2b12ob3ob2o3b2obo2b2o3bobo2b2ob5ob4o3bo3bobob2o2b3obo3bo2bob3o8bo3b
obob2o2bo4bob3o2bob3o6b4o2bo3bo3b3obob2obo3b2ob4o3b3o2b3o2b2obo3bob2o
2b2ob2ob2o8bo!
It was wanderer. It turned out to be very common in rule types that I call Class A and B.

Code: Select all

x = 4, y = 3, rule = B2e3-a/S2-a34a
bo$obo$3bo!
This was a story about my two favourite spaceships.
INACTIVE
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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

PiSpaceships wrote: January 28th, 2025, 2:00 pm
Pi is or evolves into a spaceship in many isotropic rules.

For example I could rulegolf a c/3 spaceship:

Code: Select all

x = 5, y = 3, rule = B3aei/S2-ei3ijn
b3o$o3bo$2ob2o!
House is the grandchild of pi, meaning that a pi evolves into house after 2 generations.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

Chainable tagalongs:

Code: Select all

x = 39, y = 17, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
19b2o$18bobo$19b2o$14b3obobo2b3o$15b2o2b2o3b2o$14b3o6b3o$10b2o3b2o7b2o
2b2o$9bobo2b3o6b3obobo$10b2o16b2o$b2o2b3obobo15bobo2b3o$obo3b2o2b2o16b
2o3b2o$b2o2b3o24b3o$6b2o25b2o2b2o$5b3o24b3obobo$37b2o$36bobo$37b2o!
EDIT:

Code: Select all

x = 6, y = 13, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
3b3o$3bobo$3b3o$3bobo$3b3o$3bobo$2b4o$2b2obo$4b2o$3b3o$3o$obo$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Nikro »

Earlier today in the Discord, luveelvoom mentioned two pretty interesting rules and suggested someone investigate them with apgsearch. So I did.
The second of these rules is extremely active and only goes through ~20 soups per second, but letting it run for a few hours did produce this natural gun:

Code: Select all

x = 17, y = 26, rule = B2e3-k4a/S23r4a8
11b4o$10bo4bo$9bo6bo$9bo6bo$9bo6bo$9bo6bo$10bo4bo$11b4o9$3b4o$b2o4b2o$
bo6bo$o3b2o3bo$o2bo2bo2bo$o2bo2bo2bo$o3b2o3bo$bo6bo$b2o4b2o$3b4o!
Catagolue for whoever wants it: yl33_1_5_c5f588bd99add99f63e74a17600d1082
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

Nikro wrote: January 30th, 2025, 12:46 am Earlier today in the Discord, luveelvoom mentioned two pretty interesting rules [...]
The second of these rules [...]
The first of those rules, for anyone curious, is https://catagolue.hatsya.com/census/b2i ... nz5aekq678. (b2i3acijn4a6-a78s2aen34inz5aekq678) There are 3 natural ships (and one seminatural) so far, along with minimality already proven (LLSSS is actually insane, thanks Merzenich for doing it on c/2o and c/3o bc i dont have LLSSS) for 2 ships and very likely for another (c/3d minimal is 17 cells). These two rules might deserve a forum thread each, do you think?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Nikro »

If you want to make it then go ahead. I'd love to keep exploring these.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

a rule from discord

Code: Select all

x = 94, y = 119, rule = 012n4cet56/2-a3-cij4aceiyz5y67/4
19.A8.AB8.BA8.A$19.A2.A5.B3.A2.A3.B5.A2.A$28.AB8.BA3$19.A8.AB9.BA8.A$
19.A2.A5.B3.A3.A3.B5.A2.A$28.AB9.BA5$34.A$19.A8.AB19.A$19.A2.A5.B$28.
AB$34.A4$34.A$19.A8.AB$19.A2.A5.B9.A$28.AB$34.A18$.A4.A4.2A2.A3.A4.A3.
A3.A.3A4.A.2A2.2A2.A3.A3.2A.A.A.A2.4A.4A2.A6.A.A.2A$A3.2A.2A2.A3.A5.A
.2A.2A.4A2.3A.3A3.A.2A2.4A3.A.3A.6A2.A.4A.A5.7A$A2.A.2A2.A2.2A2.2A.A.
7A.2A.4A.A.3A.A.A5.A5.3A.A2.6A.A.A.6A2.A.A2.A.A2.A$.A3.2A.3A.2A4.A2.4A
.6A2.A.2A2.6A.A3.A6.A2.A.A.2A2.2A.A2.A2.2A.4A.3A.2A$.6A2.A.8A.2A.A.4A
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.A2.A.A.A.9A.A.4A4.A.2A3.A.2A2.4A2.A3.A.6A.A.A.A.A$2A.A6.5A.A.A.A.A.5A
.A.2A.A2.2A6.2A3.4A2.A.2A.A6.A.3A3.A4.3A.3A2.A.A$A5.3A3.3A.3A3.3A.5A.
A.A.A.A.A2.3A.2A2.2A.2A.A.2A2.2A2.A.A.A.4A5.A3.A2.3A$3.A.A.2A3.A.2A2.
2A2.A2.A.2A2.2A.3A5.4A.2A.A.A.A.2A.3A2.A.A3.A.A6.3A3.A3.5A$.A2.2A.8A4.
2A.A.8A3.4A.5A3.A.2A.A.6A3.A2.5A5.2A2.A.2A.A2.3A.A$A2.2A.2A2.A.A2.A2.
2A3.2A.A.A2.3A.A4.A4.A2.A2.6A.2A.2A2.5A.A2.3A.A6.A.7A$4A3.3A4.3A.A3.A
2.A.A.A4.3A.A3.2A.2A.A.A3.A3.6A.6A.A4.A4.2A.4A.4A$2A2.A.2A.2A.A2.3A2.
A.3A.A3.2A.A2.4A.A2.A.3A.2A.2A2.2A.2A.A2.A.A.2A.3A4.4A2.2A4.A$.3A2.A.
A.2A.A2.2A2.4A2.3A3.4A.2A4.2A.4A2.A6.A.A3.A.A4.A2.A3.A3.A.3A.A2.2A$.A
.2A.A3.2A.3A.3A3.6A2.3A.A.A2.A2.2A4.A5.3A.2A3.A3.2A2.2A2.4A2.A.3A.3A.
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4.A.A.2A.3A2.A2.A2.3A.A3.A.A!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

LuveelVoom wrote: January 30th, 2025, 1:15 am
Nikro wrote: January 30th, 2025, 12:46 am Earlier today in the Discord, luveelvoom mentioned two pretty interesting rules [...]
The second of these rules [...]
[...] These two rules might deserve a forum thread each, do you think?
I take it that the CA in question are B2e3-k4a/S23r4a8 and B2i3acijn4a6-a78/S2aen34inz5aekq678 right?

Other than what was mentioned above, I don't know anything about any relevant discussion that happened outside the forums. If there is evidence of interest from other people and potential for continued exploration of those specific CA (as opposed to "tweaking" them or discussing general ideas), then a dedicated thread could help.

However, I think in almost all cases it is better to keep discussion in an already existing thread (such as MDiOCA or TFYUCA), instead of starting a new forum thread. This is because in many cases, a dedicated thread about some specific CA is abandoned after only few replies. Further, many reactions are preserved in "tweaked" CA, and many general ideas are also applicable to different CA.

I think it would be too much to create two or more such threads at once. Starting several topics at once would contradict the idea of focusing on a single topic and exploring it.
See also old discussion viewtopic.php?p=134221#p134221

edit: merged a later reply
LuveelVoom wrote: February 1st, 2025, 6:39 pm [...] Maybe I should make a "LuveelVoom's Rules" thread like some other forum users have done?
I think that makes sense, and would be better than many short-lived threads (although sometimes similar forum threads become "bubbles" with few contributions from other people). Maybe such threads would fit better in Sandbox, some people make "their" threads in the Sandbox.
Last edited by confocaloid on February 1st, 2025, 8:47 pm, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

confocaloid wrote: February 1st, 2025, 6:16 pm [...]
I think it would be too much to create two or more such threads at once. Starting several topics at once would contradict the idea of focusing on a single topic and exploring it.
[...]
Maybe I should make a "LuveelVoom's Rules" thread like some other forum users have done?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LuveelVoom »

naturalistic p1460

Code: Select all

x = 27, y = 15, rule = B2ik3aceik4aciqw6-a78/S23-ay4-a5aceky67c8
8b11o$2bo4b2o3b3o3b2o4bo$2b3o2bobo3bo3bobo2b3o$2bob5o4bo4b5obo$2ob7ob
5ob7ob2o$4obo4b7o4bob4o$4bob2o2b7o2b2obo$27o$4bob2o2b7o2b2obo$4obo4b7o
4bob4o$2ob7ob5ob7ob2o$2bob5o4bo4b5obo$2b3o2bobo3bo3bobo2b3o$2bo4b2o3b
3o3b2o4bo$8b11o!
edit: oops i forgot the other two patterns lol.
margolus spreader:

Code: Select all

x = 10, y = 8, rule = B2cen3/S23cenry
2$2bo$2b2o$2bo!
backrake corderized:

Code: Select all

x = 197, y = 176, rule = B3ai45/S23-a4ert
24$136b3o3b3o$136bo5bo2bo$136bob2o3bobo$110b3o9bo14b2o5b2o$113bo7b3o$
108b3o3bo7b2o$109b3o2bo8bo9b2o8bo$107bo2b3obo18b2o7b2obo$112b2o11bo6b
4o6bo2bo$124b2o7b2o8b3o$96bo26b2obo8bobo$96bo27b4o8b4o$96bo28b3o8b4o$
113b3o3bo17bo$119bo$119bo2$102b3o$133b2o$133b3o$86b3o44b2ob2o$134b3o$
135bo3b3o$140b3o$141bo$94bo$94bo35b3o$94bo$78bo$78bo$78bo53bo$132bo5b
3o$132bo4bo3bo$137b2o3bo$138b2o2bo$84b3o51b3obo$139b2o$140bo$68b3o67b
o2$95b2o4b3o$94bo9bo23bo$94bo3bo6bo22bo$81bo12bo6bo3bo22bo$60bo19b2o13b
o6bo2bo$60bo18b2obo14bo$60bo19b4o$70bo4b3o3b3o7b2o10bo$70bo19b3o7bo$70b
o18bo3bo11bo27b3o$61bo27b6o6bo3bo$55b2o5bo13b2o12b3o2bo6b3o13b3o$53bo
b3ob4o12bo15b2o2b2o$51b3o2b6o13bo3bo13b3ob2o$50b2o2b2ob4o14bo17b3ob2o
$51b2o4b3o16bo17b2obo$57b2obo17bo16b2o$57b5o63bo$125bo$110bo14bo$51b2o
57bo$51bobo56bo$52b2o44b2o$98b3o$98b2ob2o$99b3o$92bo7bo$89bo25b3o$94b
o3bo$90bo3bo3bo$91b3o4bo5$96b3o8bo$107bo$107bo6$93b2o$88bo3b2obo$88b2o
b3o5b3o$88bob4o$88b5o$88b6o$92b3o$91bob2o$91bo$83b2o7b2o$83bobo4bobo$
84b2o4b3o$91bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

LuveelVoom wrote: February 2nd, 2025, 4:38 pm naturalistic p1460

Code: Select all

x = 27, y = 15, rule = B2ik3aceik4aciqw6-a78/S23-ay4-a5aceky67c8
8b11o$2bo4b2o3b3o3b2o4bo$2b3o2bobo3bo3bobo2b3o$2bob5o4bo4b5obo$2ob7ob
5ob7ob2o$4obo4b7o4bob4o$4bob2o2b7o2b2obo$27o$4bob2o2b7o2b2obo$4obo4b7o
4bob4o$2ob7ob5ob7ob2o$2bob5o4bo4b5obo$2b3o2bobo3bo3bobo2b3o$2bo4b2o3b
3o3b2o4bo$8b11o!
[...]
The output of LifeViewer's "Identify" means the oscillator is statorless and strictly volatile.
Interestingly, the middle cell of that p1460 is alive in the supermajority of phases. If I counted correctly, then there are only 15 phases (out of 1460) where the middle cell is dead:

Code: Select all

x = 336, y = 149, rule = B2ik3aceik4aciqw6-a78/S23-ay4-a5aceky67c8
7bobo2$5b7o74bobobo75bobobo76bobo78bo$5bo2bo2bo74b5o72bo2bobobo2bo68bo
5bo5bo71b5o$4bob5obo69b3o3bo3b3o66bo6bo6bo66bo3bo3bo3bo67b5o3b5o$3b11o
67b6o3b6o66bob2o5b2obo68b4o3b4o69b3obobob3o$4b3o3b3o68b2ob9ob2o69b3ob
3o72b4ob4o70bob2obob2obo$4b3obob3o73b5o76b3o76b2ob2o74b7o$bo2b2o5b2o2b
o66b2ob7ob2o68b11o69b3obobob3o68bo3bobobo3bo$b2ob3o3b3ob2o68bob5obo70b
obobobobobo68b13o68bob7obo$4bo2b3o2bo71bobo3bobo70b4obob4o68b2ob2obob
2ob2o66b4o2b3o2b4o$5b2o3b2o72b3o3b3o70b5ob5o68bob4ob4obo66b7ob7o$4bo2b
3o2bo71bobo3bobo70b4obob4o68b2ob2obob2ob2o66b4o2b3o2b4o$b2ob3o3b3ob2o
68bob5obo70bobobobobobo68b13o68bob7obo$bo2b2o5b2o2bo66b2ob7ob2o68b11o
69b3obobob3o68bo3bobobo3bo$4b3obob3o73b5o76b3o76b2ob2o74b7o$4b3o3b3o
68b2ob9ob2o69b3ob3o72b4ob4o70bob2obob2obo$3b11o67b6o3b6o66bob2o5b2obo
68b4o3b4o69b3obobob3o$4bob5obo69b3o3bo3b3o66bo6bo6bo66bo3bo3bo3bo67b5o
3b5o$5bo2bo2bo74b5o72bo2bobobo2bo68bo5bo5bo71b5o$5b7o74bobobo75bobobo
76bobo78bo2$7bobo39$8bo$86bo3bo74b7o75b3o$5b7o72b9o71b9o74b3o77b3o$4b
2o2bo2b2o72bo2bo2bo72b2ob3ob2o71b2obobob2o$4b3o3b3o72bo5bo73bob3obo71b
obobobobobo$5b2o3b2o74bobobo75bobobo71b2ob7ob2o$4b9o71b4ob4o71b9o67bob
2obo2bo2bob2obo68bo5bo$3bob7obo69bo2bo3bo2bo69bo2bo3bo2bo67b4o3bo3b4o
68b2obobob2o$2bo2bo5bo2bo67bo2b7o2bo67b2ob7ob2o64bob4o3bo3b4obo66b2obo
bob2o$2ob2o7b2ob2o64bobo9bobo64b2obo3b3o3bob2o62bob7ob7obo65b11o$2ob3o
5b3ob2o62bo2bob2o5b2obo2bo63b2o11b2o63bob3ob2o3b2ob3obo65b4o3b4o$2ob2o
7b2ob2o64bobo9bobo64b2obo3b3o3bob2o62bob7ob7obo65b11o$2bo2bo5bo2bo67bo
2b7o2bo67b2ob7ob2o64bob4o3bo3b4obo66b2obobob2o$3bob7obo69bo2bo3bo2bo
69bo2bo3bo2bo67b4o3bo3b4o68b2obobob2o$4b9o71b4ob4o71b9o67bob2obo2bo2bo
b2obo68bo5bo$5b2o3b2o74bobobo75bobobo71b2ob7ob2o$4b3o3b3o72bo5bo73bob
3obo71bobobobobobo$4b2o2bo2b2o72bo2bo2bo72b2ob3ob2o71b2obobob2o$5b7o
72b9o71b9o74b3o77b3o$86bo3bo74b7o75b3o$8bo33$88bo$88bo$88bo$7b3o$8bo
78b3o$8bo76bo2bo2bo$7b3o75bob3obo236bo$5b2o3b2o75b3o236bo3bo$86bo3bo
236b3o$4b3obob3o73bobobo234bo2bo2bo$3b4obob4o73b3o78bo79bo76b7o$3b4o3b
4o72bo3bo75bo3bo75bo3bo73b9o$2b3o2bobo2b3o71b5o75b5o75b5o72b11o$3bobob
3obobo71bo5bo73bo2bo2bo73bo2bo2bo71b3o5b3o$3bob7obo70b2o2bo2b2o68bo3bo
bobobo3bo67bobob3obobo67bob3ob3ob3obo$4bo3bo3bo72b7o69b3ob7ob3o67bobob
obobobo67b2ob9ob2o$3bob7obo66b2o2bo2bobo2bo2b2o66b2o2b3o2b2o67bo2b2obo
bob2o2bo69b2o3b2o$3bobobobobobo66b2o2b3o3b3o2b2o65b2o3bobo3b2o66bob4o
3b4obo$3bob7obo66b2o2bo2bobo2bo2b2o66b2o2b3o2b2o67bo2b2obobob2o2bo69b
2o3b2o$4bo3bo3bo72b7o69b3ob7ob3o67bobobobobobo67b2ob9ob2o$3bob7obo70b
2o2bo2b2o68bo3bobobobo3bo67bobob3obobo67bob3ob3ob3obo$3bobob3obobo71bo
5bo73bo2bo2bo73bo2bo2bo71b3o5b3o$2b3o2bobo2b3o71b5o75b5o75b5o72b11o$3b
4o3b4o72bo3bo75bo3bo75bo3bo73b9o$3b4obob4o73b3o78bo79bo76b7o$4b3obob3o
73bobobo234bo2bo2bo$86bo3bo236b3o$5b2o3b2o75b3o236bo3bo$7b3o75bob3obo
236bo$8bo76bo2bo2bo$8bo78b3o$7b3o$88bo$88bo$88bo!
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PiSpaceships
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

A rake in 24/2/25 Generations rule:

Code: Select all

x = 78, y = 59, rule = 24/2/25
54.D11.P$53.E.E9.Q.Q$48.A.BC3EFHIKLM.NO3QRTUWX$47.A2B2DFGHG2JLM2N2PRS
TS2VX$47.2A2BE2F2GIK2LMNKQ2RSRUW2X$49.3A.ED2FHJL.LNFKQ.SRUVXV$49.A2.C
E.CBHIKJKM2GQOPRQ.2WXWX$51.BDCBFECGJI2LKF2QNMN4.V$52.CF2GDFD2HKJI.QSR
2O2.WXW$49.2A.2FHGE.DEFIJHPQ2RQNOMV3W$49.BAE.FIH.DEBF2GFESUTQPNMX3.W$
48.ABCAFG2HGE.CBGHE.TUV2S2L3.X$48.C2DBAIKJGFC.EFG2EV2WUT2L4.X$47.2CED
CAJKL2I2CD2FE2VXWV2T$42.2A2.B.CFECBL2MKJ.BAECU.V.XSR$42.3A2.CD3E2LNML
K.A.A2CVW2XWUS$41.ACB4.FHGKELON.2K.ACBA4.2TVU$41.BCD2A2.GHIFLM2NMK.JA
B2A4.X.VU$41.D2EC2A.I2JHFOQPMLK2.2A6.V.X$40.2DFEDBA2IKJIGPQR2O12.W$
39.C.DGFCDH.ILKIHR2SQP$40.DE3FE.IJ3K2RTSRQ$41.GIHDE.ELNMQKRUT.2Q$41.H
IJG.FDMNOLRS2TSQ.P$41.J2KFIGEO2PNLUWVSRQ$41.KLKJ2G2OQPOMVWX2U$30.2A8.
2KMJHFN.ORQONX2.WV$29.AB2A6.J.KNMIM.OP3Q2X2.XW$29.ACB8.KL3MLKJRTSWQX
3.2W$29.A2BA8.NPO.JLKSTURX4.W.VU$29.CEDA8.OPQKLMLU2VTR4.XWTV$29.DEF2C
7.Q2ROKM2UWVUS5.VW2U$29.F2GED6.2P2R2PT.UXWTU6.2XW$25.2A.2FHGFE.2A3.OQ
RSORQUV2WV6.XW.X$25.BAE.FIH.2EABA3.T2UQ3.X10.W.2X$24.ABCAFG2HGE2ABA2.
2SUTS13.VU.XVW$24.C2DB.IKJGFDC2.A.RTU2VUS13.U2VU$24.DECD.JKL2ID3AB2.W
2XV2TR12.XW.UT$18.2A4.EFC.CL2MKJHBCEDC2VXWVUS$17.4A2.C.FBC2LNMLKIE2FD
CUWX2.X$17.B2CA.DFDHGK.LONJL.JHEGF5.W$18.CBAEF2EHIGLMNMN3KG2HG4.X$17.
CECADFG2HJHIOQPMJ2KG2HX$14.A.ADEFCBDEFGMJMPQRPJ.JH$14.2BAF2GEB2EKL2NM
R2SQ.IHWX$13.ACDCGH2GF2DLMOPOST2SR2.X$12.ABCEDHIH.G2CMNOQPTUT.S$12.DB
ACDC2I2H2BPNMOPO2U2T$9.ABC2EDGFHKHILNO2QPSRTWTUX$6.4ACDE2GFIJK3MOPQ2S
RUVW$6.AB2.ABGH2.GHMN2.MNST2.ST$5.A.2BDE2F2HJK2L2NPQ2R2TVW2X$4.ABD2CB
FHJ2IHLNP2ONRTV2UTX$2.2A2CEFGE2IKLMK2OQRSQ2UWX.W$2.2ABD2E2FHJ2K2LNP2Q
2RTV2W2X$3.A.ACD.2EGIJ.2KMOP.2QSUV.2W$5.AB3CDGH3IJMN3OPST3UV$8.C.C3.I
.I3.O.O3.U.U$9.B5.H5.N5.T!
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

PiSpaceships wrote: February 5th, 2025, 11:00 am A rake in 24/2/25 Generations rule:

Code: Select all

x = 78, y = 59, rule = 24/2/25
p24 orthogonal c/1 corderoid:

Code: Select all

#C [[ THEME MCell TRACKLOOP 24 24/24 0/24 ]]
x = 625, y = 290, rule = 24/2/25
562.N11.B$561.O.O9.C.C$554.X.WVUSRP3OML.KJIGFD3CA$555.2XWV2TQRQP2N2LK
J2HEFED2BA$554.2XW2VUSPQ2POILK2JIG2E2DC2A$553.3WTVTSPQ.OIDLJ.JHF2DBC$
548.X4.VUV2U.OPNMO2EKIHIGF.A.CA$550.X2.XT4.LKL2ODI2JGHEACD2AB$554.UVU
2.2MPQO.GHI2FBDB2EDA$553.3UTKMLO2PONFHGDCB.CEF2D$545.X6.U.WXVKLNORSQC
D2EDACB.FGD.C$544.X8.V.XW2J2QTSR.CFE2A.CE2FED.2A$552.VX3.2JRS2UT2CEDC
.ADEHIG2.2BA$552.W5.2RTUV2TC2DB2A2GJIH.ABC2A$294.K5.Q5.W29.E5.K5.Q5.W
29.E5.K5.Q5.W29.E5.K5.Q5.W29.E5.K5.Q5.W36.LK7.UX6.X5.XPQVWT.SAC.A.HI
2KJ.ACDA$293.L.L3.R.R3.X.X27.F.F3.L.L3.R.R3.X.X27.F.F3.L.L3.R.R3.X.X
27.F.F3.L.L3.R.R3.X.X27.F.F3.L.L3.R.R3.X.X33.KMLMPQT3.VTV12.QSU2VUT3A
3.IJKL2J3CBA$291.K3LMOP3RSUV3X22.3ACD3FGIJ3LMOP3RSUV3X22.3ACD3FGIJ3LM
OP3RSUV3X22.3ACD3FGIJ3LMOP3RSUV3X22.3ACD3FGIJ3LMOP3RSUV3X22.3ACDFGH.I
JLK3NQR2UVX.WU11.ST2RX.W2.2A2.2I.LMJCIEFD4.2A$291.LMNON2QSTUT2W24.ABC
B2EGHIH2KMNON2QSTUT2W24.ABCB2EGHIH2KMNON2QSTUT2W24.ABCB2EGHIH2KMNON2Q
STUT2W24.ABCB2EGHIH2KMNON2QSTUT2W24.ABCB2EGH2I2KMNONQLS2UWVXV.T10.STW
V2.X5.H.IK2LKJDGFE4.B2A$292.ML2NPR2S2TVX24.2A2BDF2G2HJL2M2NPR2S2TVX
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264.I23.AHJM.KJLMOQR.2SUWX23.A.2ACEF.2GIKL.2MOQR.2SUWX23.A.2ACEF.2GIK
L.2MOQR.2SUWX23.A.2ACEF.2GIKL.2MOQR.2SUWX23.A.2ACEF.2GIKL.2MOQR.2SUWX
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V29.D5.J5.P5.V29.D5.J5.P5.V29.D5.J5.P5.V.UW24.ADC2FHBIG2IMP2.PS2Q24.
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3.2A.CE2FED.2A$240.2R71.2CFED222.BC2ED20.S2TS8.X4.QS2TSRP4.ABDEHIG2.
2BA$240.2Q71.DE2GF222.2ADCB19.RSXUVW11.P2RT2VU3.2A.B2GJIH.BACB$240.2P
71.EFGH2F196.UVW24.BCA24.X12.QSTUV2TABC2AFHI2KJA.ADC$240.2O70.2E.HIF.
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2V62.VX3.E2FE3ILKLKJEGF2CDC.2A$240.2L71.2ILKJ198.TU2WV63.W4.V2FE2IHKN
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KJI2GCEDC2A$216.2X95.2UXWV198.HI2KJ79.X2V2UTR2P2ONL2J2IHF2D2CBA$216.
2W95.VW2.X21.2A175.2GJIH78.W2U.TSQ2O.NMK2I.HGE2C.BA$216.2V95.WX2.2X
19.2ABA173.CDEHIG77.XWT3SRQN3MLKH3GFEB3A$216.2U94.2W3.X.W19.BCA172.B.
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UT217.BCEFG.HJK2ML23.VTWX4.RT2VULMLKQPO8.ADEC$24.2J273.OPQTUS215.C.DC
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26.VW2.XNOQRO.NFHJM2K8.2A$24.2F274.NO2QP212.D2EGDCADK2M2HPRQP26.2UXWV
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HKL3MNQR3STWX24.3ABEF3GHKL3MNQR3STWX24.3ABEF3GHKL3MNQR3STWX24.3ABEF3G
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2VX23.AB2C2DFH2I2JLN2O2PRT2U2VX23.AB2C2DFH2I2JLN2O2PRT2U2VX23.AB2C2DF
H2IJ2KNONPQ2OQSVS2.WS11.X.V6.2A2.KLMPQOFH2JI.2AC2ED$VWV24.2ACDED2GIJK
J2MOPQP2SUVWV24.2ACDED2GIJKJ2MOPQP2SUVWV24.2ACDED2GIJKJ2MOPQP2SUVWV
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4.BCA$TRT27.B.B3.H.H3.N.N3.T.T27.B.B3.H.H3.N.N3.T.T27.B.B3.H.H3.N.N3.
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.H3.N.N3.T.T27.B.B9.MONORSV3.XVX12.SUW2XWV2CA.A.KLMN2L3EDC2.3A$.S29.A
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2LTU2WV2EGFE.CFGJKIAB2DC$542.X3.2L2SVUT.EHGBC.EG2HGFACBA$541.W3.XMNPQ
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545.VXVURS.QKFNL.LJH2FDE.3A$546.2XWURS2RQKNM2LKI2G2FE2B2A$547.X2VSTSR
2P2NML2JGHGF2D2BA$546.XWUTR3QON.MLKIHF3ECB.A$550.Q.Q9.E.E$551.P11.D!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
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Yoel
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Joined: July 2nd, 2020, 1:02 am
Location: Electronic jungle
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Yoel »

Code: Select all

x = 7, y = 4, rule = B2o6/S256H
4bo$2o4bo$2o2bobo$5b2o!

Code: Select all

x = 44, y = 64, rule = B2o6s256H
18$25b2o$26bo2$26bobo$26bo2bo4$29b2o$29b3o3$23bo$21bo4bo$24bo9bobo$22b
o4bo9bo$35b3o$37bo$23bo5bo$23b2o4b2o$23b2obobob2o$26bo2bo$27b3o!

Code: Select all

x = 2, y = 3, rule = B25/S2-mH
2o$bo$2o!

Code: Select all

x = 5, y = 5, rule = B256/S2-mH
o2b2o$4bo$o$2bo$b2o!

Code: Select all

x = 6, y = 10, rule = B2o4/S2-pH
bo$4o$obobo$b2o$b2o2$2b3o$2bo2bo$3bobo$4b2o!

Code: Select all

x = 15, y = 14, rule = B2o4/S2-pH
o3bo$2o2b2o$3ob3o2$ob3o$2o$2obobo$3bo2bo4$13bo$13bo$14bo!
User avatar
hotcrystal0
Posts: 4564
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

A wickstretcher came out of a soup while I was rulegolfing:

Code: Select all

x = 152, y = 156, rule = B2k3airy4j8/S2-cn34i8
bo2b2o2bob2ob3obob2o4bo3b3obo2bobob2o3b2obo2bo3b2ob2obob3obob3ob2ob2o
2bobob3o4b2o3b2o2bo3b3o4bobobob2o2b5ob2o4b5o5b2o2bob2o$2o3bob2o3bo4b3o
6bob2o4b3ob5o2bo3b2o5b5obobob2ob2obob5o2bobob2o7b3o3bob5obob2o2b4ob2o
bobo2b4ob2o2bobo4b4o2b3o$2b2ob3o3b4ob3o4b5o4bob5o2b3o3b2ob2ob2ob3o3bo
bobo2b2o3bo3b4ob2o2b3obobo3b2ob4o3b3o2bo2b3obobo7b2o3bobo3bo2bobobo$b
obo2b2o2b3o2b2o2bo3b2o4b5o2b4o2bob2o5bob2o3bo2bo2b4obo2b8ob2o2bobobob
2o5bob3o2b2o4bo3bob3o3bo2bob2obobo3bob5o3b3o$4ob3o3bob2o6b2o2b7o3bob3o
b2ob2o3b2ob4ob2o2b4o4bo5b5obo5bo2bob3obob3o2b3o7bo3bob2obob3o2b4o4b2o
2b3ob4o$bo3b2ob2ob2obob2ob6obob4ob2obo2b5ob3o2bo3b4ob3obo2bo2bobob2o3b
2o4b7o3bo3b4o2b2o2b2obobob5obo2b3ob4o2bo5bo2b5o2b2o$obo2bob3obo3bob2o
bobob2ob2obo2bob2ob4o2bobo5bo2bobobo3b4o4b2o5bob3obob3o6b2o5b4o2b3o2b
2o4bobobobobob2obobobo2bobobobo3b2o$b3o3b4o2bo2bobob2o3b2obo4bob3o3b2o
bobo4bobo2b2ob6o2b4obo2bob3o2b2ob2obob2obo4b2obob2ob2ob2obo2bo6b4o6bo
b4ob2obobo4bobo$3ob5obob3ob2ob4ob2o2bob5obo4b2obo2bo2b3o3b6o10bob4o2b
3ob3o2b6o3bo2bobob2o2bo2bob2o2bo2bobo2b2obo2bob4ob3o3b2o2b3o$2ob3ob2o
2bo2bobob2o2b2obob3o2b6ob2obob3ob6ob3ob5o2bob3o3b2o3b4o2b3ob4o2b2ob4o
2bob3o2b2o3b2ob4o2bobo2bo2bo2b2ob2obob3o2bo$b2o5b4obo3bob6o2b3ob3o2b4o
2bo3bob3ob3o2b2o2bo2bo2bo5b3obo2b2o3bob2obo2b5ob3ob2obob2ob6ob3obo2bo
b4o3bo3bo2b2o2bob2obo$3o2bob2o3b2o9bo2bob4obob2o2bobob2o2bo2bob5ob3o2b
2obob3o5b5o2bo5b3obob2o4bo2b4o2bobo4b5obob3ob3o4bobo2bo4b2obobo$bobob
2ob2ob2ob5o4b6ob2o9bo4b3obo5b3o2bo2bobobobo2bo2b9o2b5obo5b2o4bo2b3o3b
4o2bob2obobobo4b2obob4o4bob3o$2b2o4b2o2b2ob2o2b3o3bobo2b2obobo3b3o2b4o
3b2ob5ob2ob2obo3bobo2bob2o3bob3o2b4o2bob2ob2o2b4o5b3o2bo3b3o2b2o5bob2o
bo2bob4ob3o$2b2o4b2ob2o5b2ob3o3bo2b2obo3b3ob2o2bob2ob2o3b5obobobo3b3o
3bo2bob2ob4ob3o11b2o6b2ob3o2b5o3b2o2bo2b3o2b7obo2bo$b3o2b4o4b3obo4bo5b
o2bob2o2b2ob2o2b2o4bo4b4o2b2obo7b4o2bo3bo2b2obo4b5o2bo2bo2bo2bo3b3o5b
o4bobobo3bo2bob2o2b4obobo$3o2bobob2o2b2o2b2o2b2obo2bo4bo2bo2bo2bo5b3o
bo5bob2o3bo2b3ob2o2b3ob2ob2obob3obobo2b2obobo4bobob2o4b5ob3obo2bobobo
b3o2bo2b4obo2bo$ob2obobo2bob9ob2o4bob7o2bo4b4ob2obo2b2obo3b4o2b2obo3b
6obobob3obob3o2b2o2b3ob2o2bo2bob3o3bo8b2ob3ob4obo4b2o2b2o$bo2bo2bo7b4o
4bobobo2bo2b2o2b5obobobo5bob2o2bo5b4o2bob2obo2bo3b3obo3bo3b2ob4o2b8o4b
4o2bo3bo3bo2bo6b2ob4o3b2o$b2o3bobo10b2o2b3o5b3o2bo3b3ob2o2bob3o2bobo4b
ob2ob3o3bo3bo2b2ob2obobo2bobo2bob2o2b2obob4ob2obobob3o3bob3ob2obo2bob
3ob4ob4o$2b2ob4o4b5o3bo2b9obob3ob2ob7ob2o5b2o3b3obo6bobob2o2b2ob2ob2o
bob2o3bo6b2ob2ob3ob2ob2obo3bo2bo4b2obob2o2bo2bobob3o$4bo5bo2bobob3obo
6b4o3bob2o4bobo2b3o5b2ob3o2b3o2b2ob2ob2ob6o2b4ob2o5bo3bo3bob2obobo3b2o
b3o3bo3bo2b2ob2ob5o3bo3bo$4bob2o3b3ob3obobobo5b2ob2ob2o2b3obobo4bo3b2o
5b4ob2ob2obob3o4b2obobobob2o2bobobob2ob2ob2ob2o5b2obo2b3o2b3o2b3ob3ob
3o2b2obobo$bobob2o5bob2ob5o2b3obo7b2obobo9bobo8bobobo3bo4b2o6b2obo2b3o
b2obo2b3o3bo5bo2bo3bob3o2b2o4b4obo2bob4o2b3o$3bo6bo3bob5o2b6obo5b3o3b
ob2o5bo5bobob2o4b4ob2o2bob2ob2o3bobo2bo4b2o2bob5o2bob4o4bo2b2obobo2b2o
7b5o5b2o$3bo2bobobobobo5bobo2bobobob4o2bobobo4bo4bo9b2ob2obobob4o3bob
ob7o3bo2bobobob3ob2o3bo2bobob4o3b5o2bob2o2bobo2bob2ob2o2bo$2bob2o4b3o
bo3bobob2o5b4ob3ob3ob2o5b3obob3obo2b2obo3b2obob3obob5o5bo2bob2ob2o2bo
3bo2bob2ob3o3bo2bobob2ob2obob2o2b3o4bob2o$3obob2o2b3o5b2obo2b3ob2o4b8o
2b2o5bobobo2b2obo5b2ob5o2bo3bo5b2o5b3o2b5o2b3o3bobo4bob6o2bobo2bob2ob
o2b2o4b4o$4b2o2bobobo2bo3b6o2bob2o4bo3bobobob2obo2b3o2b3o2bo2b2ob5o6b
3obob2ob5o3b2obobo2b2ob3ob2o4b2o3b4obob2o6b2ob2o2bob3o3bo$bo4b4obobo2b
ob2o2bo2bobo3b2o3b4ob4o2bo3bob4obob3obob5o3b2obob2ob2obobo2bo4bo2bobo
6bo5b2obobo2bobobo2bob7obo2bobo2b4obo$b2o3bob5o4bo2b3o2bo2bo3bo2bobob
ob3o4b2o2bo3b2ob7obob4ob5o2bo2b2o2bob4o2bo5b2o2bob2o6bo2bob5o3bob4o2b
8ob4obo$2b3o2bobobo4b2o5b4ob5o2bo5bob2o3b3ob9obob2o2b2ob3ob2ob2obobob
obob3o4b4o2b2o4bo3bobobo8bob3o2bo2bobo4bo3bo2b2o$3o2bob2o2bob2o3bo3bo
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2bob5ob6ob2o$b2obo4bo3b2o2b2o5b5o6bob2obobo3b2obob5o3b5ob3o2b3o2b3o2b
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7obo2bo2bo4b3o4bo2bobob4obob2o2b2o2bob3ob3obobo2b3o2bob7ob2ob2obobobo
4b2o2b7o$o2b3o2bob5o5b3o5b2o3bo5bob2obo2bo2b4ob2o2b2obobo2b2obo4b2ob2o
2bo6bobo2b5obo2b6o2b2o3b3obo3bob2o3bob3o2b2o2b4ob4o$bo3bob3o10b2ob5ob
3o3bo3b2obob2o7b2obobob2obobobo3b2o2b3ob2o5bo3bobob5o6b7o2bo3b2obobo4b
3o6bo3b3ob2ob3o$obob2obobob2o2bobobo4b3ob2obob2o3b8obo2b2obob7o4bob9o
b2ob2o4bo3bobo3b3o2b3ob3o3b5ob2o2b2obo2bo9b2o2b7o$bobob2obob2obobo3bo
2bobobo2b2ob4o6b2o2b3o3bob4o2bobobo4b3o2b2ob2o2b2ob3o2bobobo2bo2b3o3b
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4b3o3b2obo4b2o3bobobo3b2ob4obobo3bobobob2ob2ob2o2b6obo3b2obo2bo5bo4b2o
b2o4b2obo2bob3o5bo$4obobobob2o2bobobobobo3bo3bobo4bob6obo3bo2b3o3b6o3b
2o2b3ob2o2bobob3o3bo2bo2b3o2bo2b2o2b3o2b6ob2o2bo4b3o4b2obobo2b2obo2bo
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3obobo3bobo2b3obob4o3bob3ob4o2b2obo9b2obob2ob2obob3o2b2o5b5o5bobob4ob
2ob5o6bo3b2o2b2o$bobo4bob2o2b3o3bo2b2o4bo8b2o4bo6bo9b4ob2o2b2ob2ob2ob
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b2obobobo2bo5b2o3b10o3bobo2bo2bo2bo$ob2ob2o3bo2b2o2b2ob2o4bo2bob2o2bo
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3bob2o2b2obo4bo2b4ob3o2b2obobo$b2o2b2o3bob2ob3ob4obo3b2obo2bo2b2o2b2o
2b5ob5obobo3b4o2bob7obo3b2obo2b2o2b4o3b3obo4bob2ob5o3bo2b2obo2b2o2b2o
4bob7obo$o8bo3bob2obobo2bo3bo3b3ob2o7bobo2b3o5b2o2bob2o2b2ob2o2bobo2b
3obob2ob2o2bo2b2o4bobob2o2b2o5b2o2bo2b4obo4bob3o2b3o3b2obobo$3ob3obo4b
3ob4o2bob5o4b4o2b2obo3b2ob5o2bobobobo3b2o3bo3b4ob3o3b2o3bo9b2ob2ob5ob
3o2bo6bob2obo2b3obobo4bob5o$o4bo2b2o4bob2o3bob3ob2o3bo3bo2b3obobo3b2o
6b3ob3obobob5o3b7ob3o2bo3b3o2b4o4bo2b4o2b3ob2o4b5o3bob5ob4o2b2o$4b3o10b
5o2bo2b2o2b2ob5o7b3obo4bo5bo2b2obob3ob3o2bo2b2ob4o3bo2b3o2b4ob5obobo2b
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2b4o$3ob4ob2obo4bo4b4o3bobob3o2b2obo3bob5o5bo3bo3bob4obo2bo4b4o3b2o2b
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2bo7b3obob4ob2o2bo2bobobo$ob3o5bo2bobob5o3b4o3bob2obobobob2obob4o2b2o
bobob2o4bobobo4bo4b3o2bo3bo6b2ob3obo2b2ob5o3bob2o8b3o2b3o2bo2b3o4b2o$
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bobo2bo3bo5b2obo2b2obobo3b2o5b2obob5o4b2o6b2obobobob2o5bo2b3o6bo3bobo
6b3o8bobo$3b5ob2ob4obo2b2obo4bo2b2ob2o2b3ob3o2b2ob3obo3bob3obo2b2o3bo
b2obob2o4b2o6bobob3obo3bob3o2b2ob3o4bobobob3ob3obo7bob5o$2b2ob2obobo2b
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bo2bob2o2bob4o3b2o4bo3bobo2bo6b3obo3bo$bob3ob2ob2o2b4o2b6o5b6obob4o10b
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2o2bob2o3b2ob2obobob2ob4ob3ob5ob2o3b2o2bo2bob2o2bo3bo$ob2o2b2o2b3obob
2o2bob3ob2o2b4obobo3b2o2b2o2bob6obob2o2b3o2bob3ob2o4b2o2bob3obob2o3bo
4bob3o2bob2ob4o3b3o2b2o2bo2bo4bobobobo2bob2o$3b4obo2b2o2b2ob5obob3o4b
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8bo2b4o4b4o$2bo3b3obob2o4b2ob3o3bob2o3b2obob2ob3o2bo5b2ob2o3bo3bob2ob
3obo2b2o2bobo3bob5o2b2o2bo3bobobo2bo4b2ob3o2b2ob2o4b5ob2obo3b2o3bo$o2b
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2o3b3ob3o3b4obo4b2ob2o2bobo3b3o2b2o2b4ob2ob2o5bo2b3o3b3o2b2o4bobobo2b
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2o2b3obobo4bob2obo4b2obobob3obo6b2o2b2ob3o3b2ob2o2b3o2bob4ob3o2b5o6bo
bob2o$5o2bo7bobob2o2bobo4bo2b4obob5o2bo3bobob4ob4ob4o2b2obo3b5o4bobob
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2bobo2bobo5b7o2bobo2b3ob3o2bob2ob5obob3obo3b2o3bo4bob4obo3bobob2obobo
bo2b3o2bob3o2b3o2b2obo$bob2o2b2obo2b2obo3b2o2b4o2bob2o3bo3bo3bo2bo4bo
bo2bobo3b3obobobo2b4ob3o3b2o2b3obo4b3obob2o3b3o5bobobob2o3b2obobo3b2o
3bob3ob2o$6o3b2obob3o4bob2ob3obo3b3o3bo3bo5bo2b2obo4bo5b3obo2b2ob3obo
2b2o2b3o2bob3ob5ob2obo5b2obobob4obo2b2o2bobo3bo$2o2bo2b2obo3bob7ob2ob
2o6b3o3b8ob3o2bob2o3bo2b2ob3o2bo2bo3b3ob2obo2bobobo2bob3obo3b5obo2b3o
3bobob2o3bob3obob10o2bo$2bob5o2bobobob3obo2b3o2bo2bobob2o2bobobobobo2b
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b2obo7bo3bo2bo5bo2b2obo6bo7bob2obobob2ob3obo2bo$b3o7b3obob2o2bob3o6b2o
b4ob3obobo2bob3ob3ob2obo4bo3bobob3o3b3o2bob2ob3o6b6o3b3o5bo4b6ob4o4b3o
2bo2bo2b3o$b2o3bob2obobo2bobobo3bo2bo9bob4o8b3o2bo3b4o7b2obobo3b2ob4o
2b2ob3ob2obo2bob2obo4bo2bobo2b2ob2ob2ob3obobo2bobobo2bobo2b2o$4o4bo5b
2ob3o2bobob2o7b4o2bo4b3o3bobo5b3o2bo5b2obobo2bo3bo2b3o3b3obobobo2bo2b
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2o2bo2bobobo3b5o$7bo2bo2b3ob5ob4o2bob2ob3ob3ob3o2bo2bo2bo3bo2bob2ob3o
b2o3bobob2o6b2obob2o4b2ob2obo3bo2bob5o6b3o2b2o2bo3b2o3b4obobo2bo$5bo2b
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4obo2b7obo$2bo2b3o2b2o2bobo4b2o2bob4ob2obo2bobobo2b3o6b3obo2bo5bo5b3o
bobobobo3bo3b2obob2obo3bob2o2b4obobobo4b3ob4o2bo2bo2bobo2b2ob4o$4bo2b
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2obobo5bob4ob3o2bobo4b2o3b4o2b2o$6obo3b2o10b3ob2o3b7o3b2obob4o8b5o2bo
2b2o2b2o3b2o2b2obob4o2b2obo3bo3bob5obob2ob3obo4b2obo2b2ob4o5b2o$3o2bo
bob4obo2b2obob2obob6obo2bo2bo2b2obob3ob2ob2o2bob2o2b3o3bob2o3b2o2bo2b
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2o2b3o2b3ob2o2b2o3b7ob3obo2bo$3o5b2ob2obo4bob2ob2o7bo2b2ob3obobobo3bo
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4bo$ob4o3bo2b5obo3bob3ob3o5b2o2b2o2b3o4bo3bo3b3ob2obo8bo2bo3bo4b3ob3o
4bo5b5ob6o2bo5b8obob2ob3ob3ob2o3bo$2bo4bo2b2obob3ob2o2b2o2bo2bobo3b3o
bobo3bo3bo2b2o5b2obo2b2obobo2b2o3bob3o2b2ob2ob4o3b3o2b2obo4b7o2b2ob3o
bob2ob3obo2b3ob2o3bo$bo7bobo3bo2b2ob3o2b2o2b2o3b3o2bob10o2bo2bo4b2ob2o
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3ob4o2b4obobobo6bo2bo$o3bobo2b3ob3o4b3ob2o5b5o3b2obob3o3b5o4bo3bobobo
b2o6b2o2b2ob6o3b2o3bob2o2b3o6bobobo8b3o4bo4bo4bo2b2ob3o$o2bo7b2obobob
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bobo2bob3o2bo5bo$ob2obo2bo4b4obob2o4bobo4b5ob3o2bo2bo2bobo2b2obobobo3b
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3b2o2b5obo2bo2bo2b2o2b2ob5ob2ob2o5bo4bobobob2o5b2o2bo2b2o$5b2o4bob3ob
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bobobo7bo5bob3o3b2o2b2ob2ob2ob2o2bo2bo3b6ob4o2b2o2b3obob4o$obo3bo2b3o
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4b2ob3obo2bob3o3bo3b6obo3bo2bo2bob8obo3b3obob3ob3o2bo$5ob3o2bo5bobobo
9b5o7bobobob6ob2obo2b5ob2obo6b6o4bobo4b3ob4o2bob2o2bo4bob3obob2obo3b4o
7bob3o2bo$3o2b2ob7o4bo2b2obo4bobo3bo2bobob2ob3obo3bo3bobobo2b2o6bo6bo
bob3obob4ob3o2bob3ob4o2bo2b3obob3o2b3obo4b2ob2o2bo2b3obo$10obob3o3b2o
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obobo6b2o2bob4ob4ob2o2bobobo3b2ob2obob2obo3b2o5bob2o3bo4bob4o$bo3b2ob
6o6bob2ob2ob3obo2b3o3bob4o2bob4o4b2obobob2ob2obo6bo4bobobo5b2obo2b2ob
2obo4bob2obob2obo6b3o2bob2o2b4obob2o3bo$b3o5b2ob3o4bo2b2o2b5obo2bo2b3o
bob4obo4b4obobo10b3o4b2o4b2obo2b2ob2o3b4ob2o3bob3o2bobo2bobo2bo3bo2bo
2bobo4b3obobo$ob2obobobo5bobobob2o4b2ob2ob5o4b7o3bob3ob3obo2bobob3obo
bobobobobo2bo2b5obo4bobobo4b5ob4o2bo3b2o2b2ob3ob4obobo2b2ob3o$3obob3o
bo2bobo2bobobo2b5o3b5o3b2ob2obo2bob3o2bo2b2ob3ob5o2bobobo4bo3b2ob2ob2o
4bob3o3bobobo3bobo2b4o2bo2bob2o2b4o3b3o2b3o$obo2bobo2bo2b2o2bob2ob2ob
o2bo3b2ob4o4bob2obo2b2o2bob3obo2b5ob2obobo2bo4bob4o2b5obo3bo3bo2b7ob4o
2bo7bo2b2obob2ob5ob3o$bo2b5o3b2obo2b2o2bobo4bob3obobo4bobobob6o2b3o2b
ob3obo2b2o2bo2b2ob4obob2ob2o2b3o2b3obob3o4b3ob2ob2obob4o4bo4b2o3b4o4b
o$4b5o2bo3b2ob4o3b3ob2o5bo2b4ob3obobo5bobo2b4o2b4o2bobob2ob4o4bob3o2b
8o2bob2obo5b3ob3o5b5o5bo3bob3o3b2o$obo2b2o4b2ob4ob2obobob4o3b2obo2b2o
2bob5obo3bob3ob5o3bo2bo3b2o9b3o2b4ob2o3b2o2bob2obo5b2ob3o3b4o4b2obobo
7b4o$3ob2obob2o3bob4o3b5ob2ob3obo3b2obobobo2b3obo4b4ob4obo3b4o2bobob3o
b4o2b3o4b2ob6ob4ob2o2bobo5b3obo2bobob3ob5ob4o$2o6bo2bob3ob2o2b2ob3obo
bo2bob5ob2o2bo3b2obo3b3o2b2obob3ob2o2b3o3b3ob2o9bo3bob3ob2ob2o2b2ob8o
3bobo3b2obobobo2b2o3bob2o$o5bob4obo4bobo3b3o3b2ob2o5b2o2b3ob3ob3o2b2o
bobob2o2b4o4bo3bob3o2b6o4b4ob2ob2o3b7o3b4o2b2ob2ob7o3b4obobobo$3bobob
2obob3ob4o4b2o2b5obo3b3obo4bo2bo3bo2b2obo2b3o2bo4b3obo5b2o10b2o7b3obo
2b2obo2b2ob4ob2o3b3ob2obob8ob4o$3o2bo3b2ob3obo2bob2o2bob3ob4o4bobo2b2o
3b2ob4o4b2o2b2obo2b4ob2o2b2o5b2o2b7obobobobo3bobobo3bobobo8b5o2b2ob4o
3bo2bo$5b2o5bob3ob2obo3b2o3bob6obo3b3ob3o2bobobob2o4bo2bo2bo2bo2bo2bo
3b3obo4bo3bobo2bobob2o5bo2bo2bo2b2obo2b3o2bo2b2ob5ob3obo2bo$b2ob2o2bo
2bo3b4ob2ob3ob4ob2obo4bobo4b2obo2b3obob4obob3ob2obob2o2b5o2bo4b3o2b2o
2bo2b2o3b2obobobo2b2o3b4ob6o6b2ob2ob3o2bo$2o2b2o2bo2bob2ob4o3bobobob2o
bo5b8o2bobobobob2o3bob2o2bobo2bob9o3b4o2bob7ob2ob3obo3bob3ob6o2bo3bo2b
7o2b4ob2obo$2bo2bob2obob5ob4o2b2obob3o2b2ob3o2bo3bobo2b2o4bo2b4ob13o2b
ob2ob2ob5o5bo2b8o3bobob2obob3obob2o5bob2obobo4bo2b3o$2bob2o4b6o2b3o2b
o3bo4b4o3bo3bob3obobo2bo6b7obo2bo2b3ob5o3bo3bob5ob2ob2obob7obob2o2bo2b
o7b3ob4o2bobo3b2o$ob4o3bo2bob5ob5ob2o2bob2ob3o4bo2bo5b2obobo3b2o3b2o3b
o4bo2bobo2bobob2ob3ob5o2bob2ob2ob2o6b2obo3bo3bobob4ob2ob2obo3b5o$b3ob
obo3b4obo2b2o4bo2bob2o3bob2ob2obo2bobobo5b4o2bo5b2ob2o2b4obobo2b3ob3o
2bo2bob2ob2ob2o4b6obo3b8o2b4ob2ob5o3bob2o$ob2o2b2o3bo5b3o2b2o6b2obo2b
ob2ob2o2b3o4b3o3bob3ob2obo2b5o5b2ob3ob2o2b2ob2o3bo4b2o2b2o5b2ob3ob2o5b
4ob5o3bobobob2obo$bob5o3bo2b2ob2o2b4o4bo2bo3b2o5bo2b2obobobob3o2bobob
obo2b3o2bo2bo2bo3b3ob2o2bo2bob2obo5bob4ob2obo3b5o4bo8b2obob2o3bo2bo$2o
3bobobo2bob2obob4ob2obob6o2bo6bobob2o2b2o2bo3b2o2bo2bobobob2obob2obo2b
7o3b2o3b3ob5o8bo2b2o2b10obob5o3b5obo$bobo9bob2ob2ob3obobobo2b3o3bo2b2o
2bo2b2ob4ob5obo2b8obobo5b2ob4ob2o2b2ob2o3b2o2bo2b2o7bo2b2o6b2o3bob2o3b
5o2b4o$b2ob3o3bobob6obob2o2bob3o2bobob2o4bo5b6o2bo3b4ob4ob2ob6o2bo2b3o
bo2b3obobo2b9ob4o4bo2b2o2b2o3b4o2bo4bobo3bo$o2bob2obobo3b2obo3bo2b2o5b
3o3b2o2b4o4bob4obob2o3b3o2bo7bobo2bo3b2ob2o2bob2o2bob2o2bob2ob3o4bo3b
3o2b4ob2ob2obo2bo2b2ob2obobo$bo3b2ob2o10b2obo2bo2b3ob2o3bo2b2ob2o3bob
4o2b3o3bobo2bo4bob2o3b6o2b2obobob3ob2obobo2b3ob5o3bo2bobob2ob3o4b3o2b
o2bobo$2ob3ob2o2b3o2bob2o2b2obo4b2o3bobo4b7o4b3o2bob2o2b2ob3ob2ob2ob2o
b2o4bo6bo6bob3o2bo5b5obob2obob4o5b5o2bo3bo4bo$bo3b2o2b2obo2bob3o4b3ob
o3bobo2b3o2b3obo3bob4obob3obobob2o2b3o3bob2ob3o2bob3o5bobo2bob2o4bobo
4b2ob2o4bo2bobob2o2b2ob6obo$2ob4o4b2ob5ob4o2b2o4b4obob2o2bobobobob2o3b
2obo2bobo2bobo5bo2bo2bo5bob2obob2obo2b4o2bo4bo4bo5b3o2bobo2bob3obo2b2o
b8o$2ob3o3bo2b2o6bobo4bobobobob3o2bobo2bo3b2obobobob2o2b2o2b2obobobob
o2bob3o5bobo2b2obo2bob5o2b2ob2o2b3ob2o2b2obob3o2b2obo2b4o3bobo2bo!
139 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
User avatar
CARuler
Posts: 1345
Joined: July 30th, 2024, 5:38 pm
Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

both a c/2o and a c/2d

Code: Select all

x = 70, y = 59, rule = /1/4|24//4
10.A3.4A3.3A3.2A.5A.A.A.A.2A2.2A2.4A2.A3.7A$10.A.6A.3A.5A2.2A.A2.A2.A
.A.A2.7A2.3A9.2A$10.2A4.A3.A4.A2.A.3A.2A2.A2.A.A.2A.4A.2A.2A.4A.A.A$17.
4A2.A.3A.A.A8.A3.A.2A.4A.2A.3A4.A2.3A$10.2A.4A.A.3A.4A2.2A.3A.2A.3A4.
A2.A.4A2.A6.A.A.A$A9.A.2A8.3A.4A4.2A3.A.A.4A2.2A.11A.A.A2.A$B9.3A3.A.
8A.A.2A2.2A2.5A2.3A.2A.9A2.A.2A.A.A$11.A.2A2.A4.6A2.2A.2A2.A.2A.3A3.2A
.3A2.4A3.2A.3A$13.A.A.3A.2A.A3.A.A.2A.A2.3A.A.7A.A2.A2.A.2A3.A2.A$11.
A.A2.A.3A2.2A7.4A3.A.A2.2A.A.3A3.5A2.A3.A2.A$12.A2.A3.A5.5A4.3A2.A.A2.
6A2.3A.A2.A.2A.A2.3A$10.A4.2A4.A5.2A2.A.4A.2A.A3.2A3.3A2.3A.2A.A.A3.A
$10.3A3.A6.A.2A.2A3.2A2.A.A2.3A2.A2.A.A2.2A2.A2.3A.A2.A$11.A4.A.2A2.2A
4.A4.4A.7A3.2A3.A2.A2.A3.A.A2.A$11.3A.A2.A4.2A.A3.3A2.A7.A.A2.A.A.3A.
A.2A3.2A.3A$10.2A.A3.2A2.3A.A2.2A.3A.A2.2A.4A3.3A.A.A2.A4.A.A.A2.A$10.
2A.2A2.3A3.A2.A.A.A2.A3.4A.4A.A.3A2.3A3.A.A.A2.3A$11.A2.2A2.A4.6A3.5A
4.A2.2A2.4A.A.A2.A.A.A2.A.A$12.2A.2A.A.A3.2A2.A2.6A.2A4.2A.3A3.A.A.A.
A.A.A2.2A.A$14.2A.3A5.2A3.5A.A8.4A.A2.A2.3A2.3A.A2.2A$12.2A.2A3.A.A.A
2.A.A.3A.2A.A2.2A.A2.A2.A.A4.2A.3A.3A$12.3A3.2A2.2A2.A4.A.A5.A.3A.A3.
A7.A4.3A4.A$10.A4.A.A2.A2.A.A3.A2.A.A.A.2A2.2A.2A6.A.A.5A.2A.A$12.A2.
A2.3A8.2A2.2A6.A.3A.2A2.2A.A.2A.A.A.A5.A$10.A2.A2.2A2.5A.3A.2A2.2A2.A
2.4A.4A3.A4.A.A2.A.A2.2A$11.A2.2A2.A3.A2.4A.2A.A.A.2A2.A3.3A.2A4.A.A3.
4A.A2.A$10.2A3.A3.A2.A2.A5.A.A2.3A2.A.A3.3A.A3.2A2.A3.A.2A.A$11.A.A5.
2A.5A.A.A3.6A.2A.3A.2A.2A.A.A4.A6.2A$11.A2.A2.7A2.2A3.2A2.A.3A5.A.A2.
4A2.3A2.2A.2A.2A$10.5A.2A2.A.A.A2.2A2.2A3.A5.A2.A2.3A.2A.4A.A.A3.3A$14.
7A.A.2A3.2A3.2A.A.3A.3A.A.A3.2A4.3A2.2A2.A$13.2A.3A.A.8A2.A3.A2.3A2.A
.2A.A2.A4.2A.A2.A.2A.2A$10.A.2A.5A2.A.2A.2A2.3A.5A2.2A.A5.A3.4A.A.A.2A
.3A$12.A.3A.6A7.2A.4A3.A4.A.2A.A2.A2.A3.A2.2A3.A$11.A.10A2.2A.3A2.A.A
.A3.A.3A.A3.3A2.A.3A2.A2.2A.A$10.A.A.4A2.5A2.A5.5A5.2A.3A2.2A.A.A2.2A
2.A$10.A.2A.A2.A.2A4.A.A4.2A3.A.2A5.2A.A.A.A2.4A2.3A.3A$10.2A.A2.2A.A
4.A.8A.A.2A.A2.2A9.A.A2.2A4.A.2A$10.A.A6.A.4A3.4A2.2A2.3A2.2A.A2.5A.2A
.4A.2A2.A.A$10.7A2.5A2.6A.A.8A.3A.A.3A2.A.2A3.A4.A.A$13.A.A3.4A.A.3A.
A.3A.A.A6.2A2.2A.5A.A2.5A3.A$10.A.4A.3A.2A3.4A.2A.3A.6A11.3A.3A.A.A$12.
A.A.2A.4A.2A.4A2.2A.4A2.3A2.2A.3A7.3A2.A2.A$10.A3.A.3A.A.A.3A.A3.A2.A
3.A.5A4.2A6.A6.A2.2A$10.2A.2A3.A4.3A3.A.3A4.2A3.3A4.A5.A.3A.5A$10.A2.
A.2A4.A.2A.A2.4A3.2A2.A.A.3A4.A.2A2.2A.A2.2A.A.A$11.2A3.3A2.A.6A.A.A3.
2A.A.A.3A.A.A3.3A.A3.2A.A.A2.A$11.2A2.A.A.2A3.A.A.A.2A4.2A.3A2.4A2.A.
A.3A3.A.3A.4A$11.2A2.5A.5A.2A.2A2.3A.3A5.A.A.4A.4A2.2A2.2A.2A$10.2A2.
A.A4.2A4.2A2.3A.A.A2.3A3.4A.4A4.4A2.2A.A$11.A.A.2A3.A.A3.3A.A.A2.A2.A
2.A3.A.A.A.5A3.A.A.3A.2A$12.3A.A2.2A.2A.A.4A3.A.2A.A.2A2.2A2.A.2A.3A2.
2A.A2.3A.A$13.A.A2.A3.A3.A.3A.2A2.4A4.2A.A.A.A4.A.2A.2A.A.A$10.4A.2A.
2A.2A.A2.A.A5.3A.A.A.A4.A.2A.A2.2A.2A.2A3.3A$10.A2.6A3.A2.A.5A.A2.4A.
A3.2A2.A2.A.A2.2A4.A.4A$10.7A.A.4A2.3A.A2.A2.A.A.2A2.2A.2A.A3.A4.3A.2A
2.A$10.2A.2A2.3A2.2A3.3A.A2.A.3A.2A8.4A.A.A2.4A2.4A$11.2A5.A.2A.A3.2A
3.3A.A.3A.2A5.A.A5.A.A.A2.A.A.2A$10.2A4.2A.2A3.A2.A.4A10.4A2.A2.2A2.2A
.5A.3A.A!
likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
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User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Yoel wrote: February 5th, 2025, 5:34 pm

Code: Select all

x = 7, y = 4, rule = B2o6/S256H
4bo$2o4bo$2o2bobo$5b2o!

Code: Select all

x = 44, y = 64, rule = B2o6s256H
18$25b2o$26bo2$26bobo$26bo2bo4$29b2o$29b3o3$23bo$21bo4bo$24bo9bobo$22b
o4bo9bo$35b3o$37bo$23bo5bo$23b2o4b2o$23b2obobob2o$26bo2bo$27b3o!
The statorless p132 mod22 oscillator is 2-loopable and 3-loopable, resulting in a p66 and a p44 respectively:

Code: Select all

#C MAPFBYgaAhoAIEAaICBgIEBFw
x = 95, y = 21, rule = B2o6/S256H
75bo$75b2o$40b2o34bo$40bobo2b2o$40bo4b2o27b2o$42bo31bo$75bobo$76bo$87b
3o$90bo$88bobo3$92b2o$93b2o3$4bo39bo39bo$2o4bo33b2o4bo33b2o4bo$2o2bobo
33b2o2bobo33b2o2bobo$5b2o38b2o38b2o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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