random cellular automata concepts

[SquishyBoi]

exactly what the title says

1. an (interesting) one-state cellular automata solved by wzkchem5
2. a spaceship that goes backwards solved by saka
3. a pattern that will survive forever, yet will never return to any of it's prior positions already solved by toroidalet
4. a rulestring where every pattern goes downwards solved by cvojan
5. a cellular automata that makes music
6. a cellular automata that moves on the beat of a preset song concept by wzkchem5
7. ventrella's "clusters" made in cellular automata
8. a convolutional neural network that creates it's own cellular automatas
9. a cellular automata that does a dance solved by saka and their atrocity of a blob
10. a pattern that looks like an oscillator, spaceship, wickstretcher, etc. but will stabilise after an abnormally short amount of generations already in day & night
11. a self-aware cellular automata concept by wzkchem5
12. a cellular automata but the grid is composed of circles concept by moosey
13. a cellular automata simulation inside of a cellular automata already exists as the 0e0p metacell
14. langton's ant but ants create baby ants behind them which die after a short amount of time, yet still long enough to affect some of the other ant's paths, as baby ants act just like ants
15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 )
16. a cellular automata that rickrolls you solved by saka
17. a cellular automata that does my taxes concept by wzkchem5 probably already exists actually
18. a two cell pattern that has some interesting properties already exists as the on/off trigger
19. cell machine made in cellular automata
20. a pattern resembling a unipole (bipole, tripole, etc.) solved by saka
21. a 5 dimensional cellular automata (apparently 3 and 4 dimensional has already been done)
22. a cellular automata that apgsearches itself
23. one from wzkchem5, two inequivalent cellular automata A and B such that both are turing complete, so that starting from random initial conditions and simulated on an infinite array, both will eventually give entities of at least human intelligence, but it is impossible for these entities to distinguish if their own universe is simulated by A or B; moreover they can not even tell whether their own universe has a higher probability of being simulated by A than simulated by B, or vice versa.

create any of these 23 concepts mentioned above and you'll get a free ice-cream of your choosing here

you can also make your own random concepts :D

[Saka]

1. an (interesting) one-state cellular automata
2. a spaceship that goes backwards
3. a pattern that will survive forever, yet will never return to any of it's prior positions
4. a rulestring where every pattern goes downwards

10. a pattern that looks like an oscillator, spaceship, wickstretcher, etc. but will stabilise after an abnormally short amount of generations

13. a cellular automata simulation inside of a cellular automata

16. a cellular automata that rickrolls you

18. a two cell pattern that has some interesting properties

20. a pattern resembling a unipole (bipole, tripole, etc.)

1. I don't know what your definition of interesting is, but in a one-state automaton, nothing can ever change. However, purple is an interesting color, so if you change the cell's colors to purple it'll be interesting enough for you.

2. What does it even mean for a spaceship to go backwards? Does this count (reposted from discord, found with LLS)?

Code: Select all

x = 3, y = 3, rule = B2ckn3acjky4-qy5-jn678/S012ein3ciny4-ntwy5-cj6-k78
bo$2bo$3o!
[[ STEP 3 ]]

3. Not sure what this means. So, an indestructible spaceship? Certainly possible in a MAP rue.
4. Possible with MAP rules but I don't have the appropriate one on-hand so I'll let someone else do it.
10. Also not sure, something like the Day and Night temporary rockets? Those bugs that die out after a while in LTL kind of like this?

Code: Select all

x = 11, y = 11, rule = R5,C0,M1,S37..59,B33..49,NM
4b2o$2b6o$b8o$b9o$b10o$4o3b4o$3o4b4o$b2o4b4o$b2o3b4o$2b2o2b2o$3b4o!

13. Perfectly done with the 0E0P metacell
16. Closest thing I have is this: viewtopic.php?f=4&t=4383
18. What is "interesting"? Maybe you wanna take a look at snowflakes: viewtopic.php?f=11&t=3202 ?
20. This?

Code: Select all

x = 4, y = 4, rule = B3/S2-n3
2b2o$3bo$obo$2o!

[SquishyBoi]

1. I don't know what your definition of interesting is, but in a one-state automaton, nothing can ever change. However, purple is an interesting color, so if you change the cell's colors to purple it'll be interesting enough for you.

2. What does it even mean for a spaceship to go backwards? Does this count (reposted from discord, found with LLS)?

Code: Select all

x = 3, y = 3, rule = B2ckn3acjky4-qy5-jn678/S012ein3ciny4-ntwy5-cj6-k78
bo$2bo$3o!
[[ STEP 3 ]]

3. Not sure what this means. So, an indestructible spaceship? Certainly possible in a MAP rue.
4. Possible with MAP rules but I don't have the appropriate one on-hand so I'll let someone else do it.
10. Also not sure, something like the Day and Night temporary rockets? Those bugs that die out after a while in LTL kind of like this?

Code: Select all

x = 11, y = 11, rule = R5,C0,M1,S37..59,B33..49,NM
4b2o$2b6o$b8o$b9o$b10o$4o3b4o$3o4b4o$b2o4b4o$b2o3b4o$2b2o2b2o$3b4o!

13. Perfectly done with the 0E0P metacell
16. Closest thing I have is this: viewtopic.php?f=4&t=4383
18. What is "interesting"? Maybe you wanna take a look at snowflakes: viewtopic.php?f=11&t=3202 ?
20. This?

Code: Select all

x = 4, y = 4, rule = B3/S2-n3
2b2o$3bo$obo$2o!

1. purple is not interesting enough (apologies to any diehard purple fans), but maybe a one-state cellular automata where the only state is a colour wavelength that is not visible by humans but can be comprehended by computers?

2. this one was a big fat joke, however you made me laugh with the backwards glider thing so you can have the ice cream i guess

3. also a joke, but the concept was a pattern (regardless if it's an oscillator, spaceship, wickstretcher, etc.) that keeps on moving but never possesses the same configuration as it did to ALL the generations prior. location does not matter, only the configuration of cells. actually now that i think about it, this is technically impossible, but somebody will probably come up with something anyway

i forgot that 10., 13. and 18. already exists when writing that so they're already solved :P

16. good enough, have a second icecream

20. i just reused the idea from the random posts thread: i didn't expect the person who replied to my nopole post to be here :0
have another icecream because why not

[wzkchem5]

3. also a joke, but the concept was a pattern (regardless if it's an oscillator, spaceship, wickstretcher, etc.) that keeps on moving but never possesses the same configuration as it did to ALL the generations prior. location does not matter, only the configuration of cells. actually now that i think about it, this is technically impossible, but somebody will probably come up with something anyway

By "never possesses the same configuration as it did to ALL the generations prior", do you mean that for any two generations M<N, the pattern at generation M is not a subset of the pattern at generation N? If yes, then many (if not all) spacefillers are trivial examples. Of course, the different generations of a spacefiller closely resemble each other, but to exclude spacefillers from consideration you have to rephrase your question to make it clearer.

[wzkchem5]

1. an (interesting) one-state cellular automata

One can make a one-state cellular automata that lives on a torus. At each step, the dimensions of the torus are modified according to some preset rule. Since it is possible to encode the evolution step of a Turing machine as a mapping from positive integers to positive integers, the cellular automaton can be made Turing complete. Which makes it interesting, IMHO.

6. a cellular automata that moves on the beat of a preset song

Trivial if the song is 4/4. Imagine a glider coming at a suitable distance from a block, and eventually destroying it. This simulation will match the beat of the song (4/4 but terminating after finite time). I actually challenge anyone who can come up with a pattern that matches the beat of any song by Dream Theatre, which generally feature mixed beats, sometimes (allegedly) involving 17/16 measures.

11. a self-aware cellular automata

My answer to the first question, plus a suitable torus size that allows the automaton to simulate our own universe, suffices.

17. a cellular automata that does my taxes

Yes if the cellular automaton is used as the hash function of some cryptocurrency

[wzkchem5]

23. Two inequivalent cellular automata A and B such that both are Turing complete, so that starting from random initial conditions and simulated on an infinite array, both will eventually give entities of at least human intelligence, but it is impossible for these entities to distinguish if their own universe is simulated by A or B; moreover they can not even tell whether their own universe has a higher probability of being simulated by A than simulated by B, or vice versa.
If such a pair of cellular automata exists, this will consist of a solid evidence that there are certain aspects of the physical rules of our universe that we can never know. If however it is proved that there isn't such a pair of cellular automata, it will be the best news ever to reductionists.

[Moosey]

7. ventrella's "clusters" made in cellular automata
12. a cellular automata [sic] but the grid is composed of circles
15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 )
17. a cellular automata [sic] that does my taxes concept by wzkchem5
19. cell machine made in cellular automata
21. a 5 dimensional cellular automata [sic] (apparently 3 and 4 dimensional has already been done)
22. a cellular automata [sic] that apgsearches itself

7. not possible as a conventional CA since CA aren't continuous
12. so like a hexagonal rule? Or is the grid an Apollonian gasket?
15. not possible for linear growth rakes in a 2D CA; possible in 3D CA or in 2D CA with "rakes" that have slower growth
17. a rule that does arithmetic sums should be quite neat tbh; I'd be surprised if there isn't already one engineered to do that.
19. probably not possible at a specific ratio of time to Cell machine
21. trivial, left as an exercise for the reader
22. CA can't access the internet, so the results wouldn't appear on catagolue; fortunately this doesn't matter as the apgsearching would be wondrously slow. Also, you'd probably want to do this in a nonexplosive but interesting turing-complete rule. (CHALLENGE: do this in GoL; since GoL is TC-CU it's possible)

[SquishyBoi]

7. not possible as a conventional CA since CA aren't continuous
12. so like a hexagonal rule? Or is the grid an Apollonian gasket?
15. not possible for linear growth rakes in a 2D CA; possible in 3D CA or in 2D CA with "rakes" that have slower growth
17. a rule that does arithmetic sums should be quite neat tbh; I'd be surprised if there isn't already one engineered to do that.
19. probably not possible at a specific ratio of time to Cell machine
21. trivial, left as an exercise for the reader
22. CA can't access the internet, so the results wouldn't appear on catagolue; fortunately this doesn't matter as the apgsearching would be wondrously slow. Also, you'd probably want to do this in a nonexplosive but interesting turing-complete rule. (CHALLENGE: do this in GoL; since GoL is TC-CU it's possible)

12. there are actually multiple ways to compose a grid of circles, so that's why i left the reader to run wild with the (albeit idiotic) concept. apollonian gasket is a plausible way of doing it
22. a cellular automata that can apgsearch itself - as in a cellular automata that is capable of making soups within it. but then that'll require randomness and oh god we're back at square one

[cvojan]

3. a pattern that will survive forever, yet will never return to any of it's prior positions
4. a rulestring where every pattern goes downwards

3. See Total aperiodic
4. Rule table:

Code: Select all

@RULE spaceship

@TABLE
n_states:2
neighborhood:Moore
symmetries:none
var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
0,1,a,b,c,d,e,f,g,1
1,0,a,b,c,d,e,f,g,0

[ColorfulGalaxy]

exactly what the title says

1. an (interesting) one-state cellular automata solved by wzkchem5
2. a spaceship that goes backwards solved by saka
3. a pattern that will survive forever, yet will never return to any of it's prior positions
4. a rulestring where every pattern goes downwards
5. a cellular automata that makes music
6. a cellular automata that moves on the beat of a preset song concept by wzkchem5
7. ventrella's "clusters" made in cellular automata
8. a convolutional neural network that creates it's own cellular automatas
9. a cellular automata that does a dance
10. a pattern that looks like an oscillator, spaceship, wickstretcher, etc. but will stabilise after an abnormally short amount of generations already in day & night
11. a self-aware cellular automata concept by wzkchem5
12. a cellular automata but the grid is composed of circles
13. a cellular automata simulation inside of a cellular automata already exists as the 0e0p metacell
14. langton's ant but ants create baby ants behind them which die after a short amount of time, yet still long enough to affect some of the other ant's paths, as baby ants act just like ants
15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 )
16. a cellular automata that rickrolls you solved by saka
17. a cellular automata that does my taxes concept by wzkchem5 probably already exists actually
18. a two cell pattern that has some interesting properties already exists as the on/off trigger
19. cell machine made in cellular automata
20. a pattern resembling a unipole (bipole, tripole, etc.) solved by saka
21. a 5 dimensional cellular automata (apparently 3 and 4 dimensional has already been done)
22. a cellular automata that apgsearches itself

create any of these 22 concepts mentioned above and you'll get a free ice-cream of your choosing here

you can also make your own random concepts

I'm actually trying to solve #6 before you made this thread.

See "Absolutely Useless patterns not in CGoI".

[toroidalet]

3. a pattern that will survive forever, yet will never return to any of it's prior positions

Can you clarify what you mean by this?
Here are some patterns which may or may not qualify (EDIT: actually most of the complex Life patterns like the primer and caber tosser and exotic growth rate probably count too):

Code: Select all

x = 13, y = 5, rule = B3-y4e5a/S23-e
b2o$o2bo$b2o2b2o3b2o$5bobobo2bo$5bo4b2o!

Code: Select all

x = 3, y = 3, rule = B2ci3aer4eiqrz5i6cik8/S01c2cn3ek4nqtw5aekry6ekn78
bo$obo$bo!

Or Total Aperiodic (with the stronger property that no cell becomes periodic, hence the name)

5. a cellular automata that makes music

Someone did do this earlier with one of the Wolfram rules (110?), but it was feeding the patterns themselves into the music player instead of something that explicitly wrote music.

9. a cellular automata that does a dance

Code: Select all

x = 30, y = 29, rule = B3aijn45aiy6acn78/S3inq4aiqr5aiy6acn78
6bobo$8b2o2bobobobobobo$5bob6obobobobo3bo$3b18obob3o$2b23obo$2b25o$ob
26o$28obo$b29o$b29o$2b28o$2b26o$3b25o$6b21o$6b21o$6b20o$7b19o$7b18o$8b
17o$9b15o$12b12o$11b12o$13b10o$11b11o$14b8o$12b8o$15b5o$14b4o$16b2o!

(by saka)

15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 )

While theoretically possible, the ships would run out of room, resulting in the pattern just becoming a rake rake, exploding, or just becoming an MMS breeder.

[Moosey]

22. a cellular automata that can apgsearch itself - as in a cellular automata that is capable of making soups within it. but then that'll require randomness and oh god we're back at square one

22. not that hard, just hook a pseudorandom number generator up to a universal constructor and make a 16x16 grid of 0E0P metacells. This is definitely possible in GoL

23. one from wzkchem5, two inequivalent cellular automata A and B such that both are turing complete, so that starting from random initial conditions and simulated on an infinite array, both will eventually give entities of at least human intelligence, but it is impossible for these entities to distinguish if their own universe is simulated by A or B; moreover they can not even tell whether their own universe has a higher probability of being simulated by A than simulated by B, or vice versa.

Trivial solution: a rule and its inverse. B3/S23 and B0123478/S01234678 should work.

[wzkchem5]

23. one from wzkchem5, two inequivalent cellular automata A and B such that both are turing complete, so that starting from random initial conditions and simulated on an infinite array, both will eventually give entities of at least human intelligence, but it is impossible for these entities to distinguish if their own universe is simulated by A or B; moreover they can not even tell whether their own universe has a higher probability of being simulated by A than simulated by B, or vice versa.

Trivial solution: a rule and its inverse. B3/S23 and B0123478/S01234678 should work.

No, I mean inequivalent, not non-identical. To be more precise, I'd want that there is no one-to-one mapping X<->Y between the configurations of the rules A and B, in the sense that if X<->Y, then X'<->Y', where X' is X evolved one step under rule A and Y' is Y evolved one step under rule B.
For example, if the initial condition is chosen such that when simulated by B3/S23, no cell with eight live neighbors will ever appear, then B38/S23 and B3/S23 can be said to be equivalent in this sense (provided the intelligent beings already know that the initial condition of their universe satisfies this property). But since I'm speaking of random initial conditions, this does not count as a true example.

[EvinZL]

21. a 5 dimensional cellular automata (apparently 3 and 4 dimensional has already been done)

"Every cell never changes"

Hey, you never said it had to be interesting!

[MathAndCode]

#17 is easy if you only have to worry about marginal tax brackets. Simply find some spaceships all going in the same direction with speed proportional to the amount of money that you get to keep for each tax bracket, make converters from each spaceship to the next at the right distances, and then send the fastest spaceship towards the first converter. If the number of generations is proportional to the amount of money that you made, then the distance of whatever spaceship from the starting point after that number of generations will be proportional to the amount of money that you keep. If there is anything more complicated than simple tax brackets, or you can't find/don't feel like finding all of the spaceships with the right speed, then use the fact that it's possible to build a universal computer in ConwayLife.

As for #5, how complicated must the music be?

[toroidalet]

5. a cellular automata that makes music

Here is an example of music from CA (not a rickroll). I think the person did this in the trivial way (where you play each frequency iff the cell is on) but I'm not sure.

23. one from wzkchem5, two inequivalent cellular automata A and B such that both are turing complete, so that starting from random initial conditions and simulated on an infinite array, both will eventually give entities of at least human intelligence, but it is impossible for these entities to distinguish if their own universe is simulated by A or B; moreover they can not even tell whether their own universe has a higher probability of being simulated by A than simulated by B, or vice versa.

Ignoring trivial examples such as Life but at 1/2 speed, one possibility is the following: a universal Turing machine (moving left and right) that sends signals that also move left and right. When 2 signals collide, the one moving right becomes a different type of signal which then destroys everything it touches (each row is independent of the others). If you did this with 2 different Turing machines, none of them would be able to determine anything about their underlying cellular automaton because the only way that the tape head can be influenced is by the tape cells and destructive signals. However, in general you need a very special cellular automaton in order to even learn about the outside world, because in most of them spaceships and stuff are far more likely to cause serious damage to circuitry than a stray photon is, and it's much harder to absorb them using eaters or converters (you have to worry about them coming in at the wrong time or one cell off, again usually messing stuff up).

[MathAndCode]

#23: One is ConwayLife, and the other is ConwayLife except that if a cell is alive and all other cells within the 999×999 box around it are also alive, then it survives instead of dying like it normally would if it had eight immediate neighbors.

[Moosey]

Here is an example of music from CA (not a rickroll).

You had me convinced that that was a rickroll

It was not

[toroidalet]

15. a rake, that creates rakes, which create rakes, which create spaceships (rake rakes are mentioned here but this is a rake rake rake :0 )

Here's an example rake^3 I just made up; as you can see eventually the cubic growth eventually returns to quadratic due to running out of space:

Code: Select all

@RULE rake^3

@TABLE
#States 1-3 stolen from a rule by BlinkerSpawn
n_states:7
neighborhood:Moore
symmetries:none
var c1={1,3}
var c2=c1
var c3=c2
var c4=c3
var c5=c4
var c6=c5
var c7=c6
var c8=c7
var C1={0,1,3}
var C2=C1
var C3=C2
var C4=C3
var C5=C4
var C6=C5
var C7=C6
var C8=C7
1,0,0,0,0,0,0,0,0,2
3,0,0,0,0,0,0,0,0,2
2,0,0,0,0,0,0,0,0,3
0,2,0,0,0,0,0,0,0,2
0,0,2,0,0,0,0,0,0,3
0,0,0,2,0,0,0,0,0,2
0,0,0,0,2,0,0,0,0,3
0,0,0,0,0,2,0,0,0,2
0,0,0,0,0,0,2,0,0,3
0,0,0,0,0,0,0,2,0,2
0,0,0,0,0,0,0,0,2,3
0,2,3,0,0,0,0,0,3,3
0,3,0,0,0,0,0,0,2,3
0,0,0,3,2,0,0,0,0,3
0,0,3,2,3,0,0,0,0,3
0,0,2,3,0,0,0,0,0,3
0,0,0,0,0,3,2,0,0,3
0,0,0,0,3,2,3,0,0,3
0,0,0,0,2,3,0,0,0,3
0,0,0,0,0,0,0,3,2,3
0,0,0,0,0,0,3,2,3,3
0,0,0,0,0,0,2,3,0,3
2,3,2,3,2,3,0,0,0,3
2,0,0,3,2,3,2,3,0,3
2,3,0,0,0,3,2,3,2,3
2,3,2,3,0,0,0,3,2,3
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
1,0,1,1,1,0,0,0,0,0
1,1,1,1,0,0,0,0,1,0
1,1,1,0,0,0,0,0,1,0
1,1,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,1,0
1,0,0,0,1,1,0,0,0,0
1,0,0,1,0,0,0,0,0,0
1,0,0,1,1,0,0,0,0,0
3,0,0,0,0,c1,c2,c3,c4,1
1,0,0,0,0,c1,c2,c3,c4,3
3,1,0,0,0,C1,C2,C3,C4,1
1,1,0,0,0,C1,C2,C3,C4,3
3,0,0,0,1,C1,C2,C3,C4,1
1,0,0,0,1,C1,C2,C3,C4,3
3,1,0,1,1,C1,C2,C3,C4,1
1,1,0,1,1,C1,C2,C3,C4,3
3,1,1,1,1,C1,C2,C3,C4,1
1,1,1,1,1,C1,C2,C3,C4,3
3,1,1,1,0,C1,C2,C3,C4,1
1,1,1,1,0,C1,C2,C3,C4,3
3,1,1,0,0,C1,C2,C3,C4,1
1,1,1,0,0,C1,C2,C3,C4,3
3,0,0,1,1,C1,C2,C3,C4,1
1,0,0,1,1,C1,C2,C3,C4,3
3,0,1,1,1,C1,C2,C3,C4,1
1,0,1,1,1,C1,C2,C3,C4,3
3,3,0,3,3,0,0,3,3,2
2,3,0,3,3,0,0,3,3,1
3,0,0,0,3,2,3,3,0,0
3,0,0,0,0,3,0,2,3,0
3,3,0,0,0,0,0,0,2,0
3,3,3,2,0,0,0,0,0,0
3,0,0,3,2,3,0,0,0,0
3,0,1,0,0,0,0,0,0,0
#states 4-5 (rake):
0,3,2,0,0,0,0,0,0,4
0,4,0,0,0,0,0,0,0,4
4,3,3,3,0,0,0,0,3,3
4,0,1,0,0,4,0,0,5,0
4,4,0,0,0,0,0,0,0,0
4,0,0,0,0,0,0,0,0,0
0,0,0,0,4,0,0,0,0,5
0,0,5,0,0,0,0,0,0,5
5,0,0,0,0,0,0,0,0,0
5,0,0,0,4,0,0,0,0,0
#state 6 (rake^3)
0,0,0,6,0,0,0,0,0,6
0,0,0,0,0,0,0,6,0,6
6,0,0,0,0,0,0,0,0,0
0,0,6,6,0,0,0,0,0,6
0,0,0,6,6,0,0,0,0,6
6,6,0,0,0,0,0,0,0,0
6,0,0,0,0,6,0,0,0,0
0,0,0,0,0,0,6,0,6,1
6,0,0,0,0,1,0,0,0,0

Code: Select all

x = 127, y = 4, rule = rake^3
F2$126.F$126.F!

(somebody can remake the rake^2 to be fast and high-period instead of slow so it runs longer before the rakes collide, but I'm lazy)

Here is an example of music from CA (not a rickroll).

You had me convinced that that was a rickroll

It was not

Alright, guys—it's been confirmed: not a rickroll. It's safe for you to watch now.

[wzkchem5]

Ignoring trivial examples such as Life but at 1/2 speed, one possibility is the following: a universal Turing machine (moving left and right) that sends signals that also move left and right. When 2 signals collide, the one moving right becomes a different type of signal which then destroys everything it touches (each row is independent of the others). If you did this with 2 different Turing machines, none of them would be able to determine anything about their underlying cellular automaton because the only way that the tape head can be influenced is by the tape cells and destructive signals. However, in general you need a very special cellular automaton in order to even learn about the outside world, because in most of them spaceships and stuff are far more likely to cause serious damage to circuitry than a stray photon is, and it's much harder to absorb them using eaters or converters (you have to worry about them coming in at the wrong time or one cell off, again usually messing stuff up).

But the Turing machines will have to emerge spontaneously from a random initial condition, and it is highly unlikely that there is a CA where universal Turing machines with the destructive signals are possible but those without such signals are not.

[wzkchem5]

#23: One is ConwayLife, and the other is ConwayLife except that if a cell is alive and all other cells within the 999×999 box around it are also alive, then it survives instead of dying like it normally would if it had eight immediate neighbors.

I will accept this answer! This answer will probably only make sense if the initial condition is an infinitely dilute soup though (I did not explicitly require this but this is the situation I'm actually interested in, so I'm satisfied with solving this special case); otherwise the change of rule may have an extremely small but non-zero effect on the object populations in the final ash.
And your solution can be generalized to any CA where the rule deviates from GoL only when encountering a Garden of Eden, and the Garden of Eden is too rare in the initial soup to have a non-zero impact on the global dynamics.
But still, I would be interested in some more non-trivial solutions, i.e. two CAs that do not resemble each other at all at the first glance.

[MathAndCode]

#23: One is ConwayLife, and the other is ConwayLife except that if a cell is alive and all other cells within the 999×999 box around it are also alive, then it survives instead of dying like it normally would if it had eight immediate neighbors.

I will accept this answer! This answer will probably only make sense if the initial condition is an infinitely dilute soup though (I did not explicitly require this but this is the situation I'm actually interested in, so I'm satisfied with solving this special case); otherwise the change of rule may have an extremely small but non-zero effect on the object populations in the final ash.
And your solution can be generalized to any CA where the rule deviates from GoL only when encountering a Garden of Eden, and the Garden of Eden is too rare in the initial soup to have a non-zero impact on the global dynamics.
But still, I would be interested in some more non-trivial solutions, i.e. two CAs that do not resemble each other at all at the first glance.

There's a design for a Turing machine that works in a variety of fairly common rules, such as ConwayLife, PedestrianLife, and DryLife, but they probably have at least slightly different commonnesses for different types of gates, which could lead to the equivalent of different laws of physics being more likely. Of course, any Turing complete cellular automaton could simulate any cellular automaton, including other Turing-complete cellular automaton, but the question also requires that hypothetical intelligent beings would not be able to detect a difference in probabilities.

19. ConwayLife has universal Turing machines, so simply program it on one of them.
22. I found a pattern whose shape resembles a capital I, which is also its apcode.

[wzkchem5]

There's a design for a Turing machine that works in a variety of fairly common rules, such as ConwayLife, PedestrianLife, and DryLife, but they probably have at least slightly different commonnesses for different types of gates, which could lead to the equivalent of different laws of physics being more likely. Of course, any Turing complete cellular automaton could simulate any cellular automaton, including other Turing-complete cellular automaton, but the question also requires that hypothetical intelligent beings would not be able to detect a difference in probabilities.

Yes, and this makes the question less trivial than it seems

[hotcrystal0]

1. I don't know what your definition of interesting is, but in a one-state automaton, nothing can ever change. However, purple is an interesting color, so if you change the cell's colors to purple it'll be interesting enough for you.

2. What does it even mean for a spaceship to go backwards? Does this count (reposted from discord, found with LLS)?

Code: Select all

x = 3, y = 3, rule = B2ckn3acjky4-qy5-jn678/S012ein3ciny4-ntwy5-cj6-k78
bo$2bo$3o!
[[ STEP 3 ]]

3. Not sure what this means. So, an indestructible spaceship? Certainly possible in a MAP rue.
4. Possible with MAP rules but I don't have the appropriate one on-hand so I'll let someone else do it.
10. Also not sure, something like the Day and Night temporary rockets? Those bugs that die out after a while in LTL kind of like this?

Code: Select all

x = 11, y = 11, rule = R5,C0,M1,S37..59,B33..49,NM
4b2o$2b6o$b8o$b9o$b10o$4o3b4o$3o4b4o$b2o4b4o$b2o3b4o$2b2o2b2o$3b4o!

13. Perfectly done with the 0E0P metacell
16. Closest thing I have is this: viewtopic.php?f=4&t=4383
18. What is "interesting"? Maybe you wanna take a look at snowflakes: viewtopic.php?f=11&t=3202 ?
20. This?

Code: Select all

x = 4, y = 4, rule = B3/S2-n3
2b2o$3bo$obo$2o!

1. purple is not interesting enough (apologies to any diehard purple fans), but maybe a one-state cellular automata where the only state is a colour wavelength that is not visible by humans but can be comprehended by computers?

2. this one was a big fat joke, however you made me laugh with the backwards glider thing so you can have the ice cream i guess

3. also a joke, but the concept was a pattern (regardless if it's an oscillator, spaceship, wickstretcher, etc.) that keeps on moving but never possesses the same configuration as it did to ALL the generations prior. location does not matter, only the configuration of cells. actually now that i think about it, this is technically impossible, but somebody will probably come up with something anyway

i forgot that 10., 13. and 18. already exists when writing that so they're already solved

16. good enough, have a second icecream

20. i just reused the idea from the random posts thread: i didn't expect the person who replied to my nopole post to be here :0
have another icecream because why not

found a spaceship and an oscillator in Suicidal Bugs

Code: Select all

x = 240, y = 184, rule = Suicidal Bugs
2b3obobo2b6obobo2bo2bobob5obo4b2o2bob2ob5o2b5o4bo3bo2b3o2bo4b2obobo6b
2o2b2o2b2obob4ob3o2b3o4bobo2bob3ob4o3bobo3b2o2b3obob2ob7o2b4obo3b3obo
3bob3ob3o3b4ob5ob3o11b3obob2o2b2obo$2bob2o3bo3bo2bob2ob2obo2b3o8bo4b2o
3bo2bobo2b2ob6o2b3ob2o3bo2b2o3bob5obobo2bo2b2ob8ob2ob2o7b3ob2obobo2bo
bo2bo2bo3bobo2b3o3b2o2bobo4bobob2o2b2o4bob2o3b2ob4obo2b2o2b3o8bob3obo
b2o3bobo4bo$obo2bo2b3o2b2o6bob2ob2o2bo4b2o2b8obo3b3o3bo3b3o3b2o2b3obo
b3obo2bobobobo3bob5obo4b3ob2obobob5ob4o3bobo2bo3b3o2bobo2bo4bo2b3ob3o
b2obobobobo2bo4b2ob2o2bo4b3ob7obo2b2o3b3o2b2o3b2ob11o$o10b3obo2b5ob3o
2b2o2b2ob4obob4o4b2ob2o2bo4bobobo3bob2ob3ob3ob3o2bobob2ob2obobobob5ob
obob3ob2o4bo5bobo3bob4obo3bobob5obobobo2b2o4bob4o2bo2b3o5bo3bo2b2ob3o
2b2ob2ob3obob2o3b3ob3obob8o$bobo3bo2bo4bo2bo4b7obo2bo2bo4bob2obobobob
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ob5o5bo3b3o3b3o2b3o3bo4b2o3b3ob4o3bob2obobob2o2bo2b5ob2o2bo2b2obo2bob
o3b6obob2o$2bob3o2b4ob3obob2o3b2o2b2obob3o2bob3o2bob3o3b2ob2o3b2o2bob
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2bobobo2b3ob2ob2ob4o4b4o2b2obobob6o3b2o3bo2bo2b2o3b3o5bo6bo4bo2b2o2b2o
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8b3o4bobo2b4o4b3ob2o2b2o6b2ob3o$3o2b4o2b3o2b6o2bo2b2ob2ob2o6bo2bo5b3o
2bob4obob2o3bob8o2b2ob2o8b5o2b3o2bo5b4ob4o3bo3bob2o2bob3obo3bob3o4bo2b
5o3bobo4bo2b3o2b5o3b3ob3o7bobo3bob5o2bob2o3b6o2b3obo$obobobo2bo3b3obo
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2b2obob4o5bob4ob2ob2obobo$7o4b2ob2ob5ob2ob2o4bo2bo5bo2b2o2bobo4bo2b5o
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o3bobo3b2o2b2o4b2obob2o3b2obo2bo2bo2b4obo4b3o5bob5o4bobo3bo$ob3obo2b4o
4bobo3b4o2b5o2b2ob3o2bo6b2ob3o3bob2o2bob7o4b7ob4o4b4o2b4obob2obo2b2ob
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obobobo2b4ob2o2b2obobobo$4b3o2b3obobo2b3o2bo6bo4b4o3bo2bo2b3obo2b2ob3o
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$3o6bobo5bo2b3obo2b4o4b10obob2o3b5o4bo2bo5bo2b2o4bo2b5obo2bo2b2o5bo2b
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3bobo4b2o5bo2bo3bobo4b2o2bobo$2b2o2b4obobo3b3o2bobo2b3obob3ob6ob4o2b2o
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bob2o2b2ob2o2bo3bobo4bo2b2ob2o2b3o5b3o3b3obob2obo$bobo2bob3o2bo2bobob
o5b2ob2o2b3o2bo4b2ob2o2bo3b2o2bo3b2o2b2ob6o6b7ob2o3bo3b4o4bo4b3o2b3ob
5o8b3o3bob2obo2b2o4b3ob3o5b2ob5obobo2bobobo2bo5bo2b3o2b2ob2obo4b2obob
ob2o4b3obo5b6o$4bo4b4o2bo2b3obobo3bob2o3bob3ob2o2b3o3b3o3bo3b5o2bob2o
2b3obobob2o2bo3bo2bobobo3bo4b2obobo2bobobobo4b3ob2o4b4obo2bo2b3o2b3ob
ob4ob3o2b4o2b3obo2bo5b3o6bo3bo2bob3o4bo3bobo2bobobob2o2bo3bob2o$b4obo
bo2b3ob2ob3obob2obo4bob4ob2obob2ob2ob5ob3o8bo4bo2bo2bobobob2ob2o4b3o2b
2ob2obobobo3bobobo3bobob2o5bo3b2obobo3b4ob2o2b3o3b6obo2b2o2bo4b3o3b2o
b4o2b3o3bo3bo2bob2o5b2ob2obo2b8obo2b2obo$obob3o3bobobo2b3o2bo2bo4b3ob
2ob6obo3bob2o2bob2ob3o2bobo2b2obo3bo2bo2b2o2b4ob6ob2obob4o4bo3bo3b2o6b
ob3ob2obo2bobob4obob2o4b3ob2obo3bo2b3o3bo3b2o4bobobobo3bo2b5o2bo2bo2b
obobo3bo2bo2bo7bo3bo$obo2b3ob2o2bo2bo3b4o3bobobo4b2obobob3o3bo2bobo5b
2obobob2obo2bo2bo2bob2o4bo2bo3b2o2bo2bo2bob2obob2ob5o3b2o2bob3ob3ob4o
4bo2b3o2b2o2b5obo3b2ob2obob3o2bo3b4o3bob4obo3bobo4bo3bobo3b2o3b2o3b2o
4b3ob2o$2b2o3bobob2obo2bobo4b2o2bo4bo3b2ob2o5b3o2bobo3bobo4b3obob3obo
bob4o3b9o2b3o2bob3ob4o2bo2bo5b6ob2obobob8o4bobob5o5b6o2bobo4b2ob3o3b2o
2b3o2b2o2bo3b2o5b2ob3o3bo4b3o2b2obob2o2bo$o5bo2bo3b2obobo2b3obo3bo2bo
bo5b4o3bo2bo3bobo2b2o2bo8bob2o3b2obobob3o2bo3b3o4bo2b2o2bo2b2ob2o2b3o
2b2obo2b2o2b2o4bob9o3b7o6bo6bo2b5ob2o4b3ob2ob2o2bo3b4obob4o7b5o2b4o2b
obo$o2b2o5bob3o3bo2bobo2bobob4ob2o2bobobob2ob3obo3bo2bo6b2ob4obo2bo2b
o2b4o2b3o2bobo10b2o3b2obobobo2bo3bob5o2b2ob3o3b2o6bob3o5b2o2bo2bo3bo2b
2o4bo2bo2b2ob2obo3bo4bo6bo2b2o2bobo3b5obo3b4obo$2b2ob3obo2b5o3b2ob2ob
o2bob4ob2o2bo3bo2bo2b3obo2b4o2bobob6o2bo2b3o4bo2b2ob2o2bobob3ob2o3bob
obo7bob2obobobobobob6ob3ob2o6b7obobob2obob2obobo2bobob6obo3b2o4b2o4bo
2bo3bo2b3obo2b9o2bo2b2o$obo2bobob2o5b2ob2o2b4ob3o4b3ob2obob4o2bobobo2b
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ob2obo4bo2b2ob2ob3obobo2bobo2b2o2bob2ob2o5bo2bo2b4o3b3o3bob2o3b3obob9o
b3o2bo$4bobob2o5b2o2bob4ob2obo2bo2b5o4bobobob3ob2o4bo2bob2obo3b2o2bob
o4bobobob5o5bob2o3bobo3bob4o3bo5b3o2b2o5bob3ob2ob4ob2obo4b5o6bob2obo2b
3o3bob4ob3o2b3o2b2ob3ob2o5b2o2bob3o3b5o2bo2bo$obo2bo3bobobob4o2b4o2b5o
2b2ob3o4bo2b3obo2b2ob2obobobobobobo3b2o3b4obo3b2o4bo3b2ob2o4bob2o4b2o
b3obo3bo2b2ob4obob2o3bo2bob2o6bobo2bob3o5b2o2bobo2b3o5b3o5bo2bobob2o3b
o3bob5obob3o3bobob4ob2o$2b3obobobo2bo3bobobo2bo11b2ob2o3bo2b2obob2o3b
o2bo4b5obo2bob3o2b5o3b3o3b2o2b4ob5o2b2o2bo4bob3o3bobobobob2o5b5o2bob4o
2b2o2b3o2bob2obobobob5o2b2o2b2ob6obo2b2o4b2o2bobobobo4bobo3bob3obo3bo
$ob7obo4bobo2bo4bob3o2bobo3bo4b3obo2b7o2b4o5b2o3bobobobo5bo2b2o2bo3b3o
2b2obo2bo3bobob2ob2o5bo2b2o4bo2bo2b2o2b3o6bo4bo7b2o3bo3bo2b6ob3ob3o3b
o2bo3bobob2ob2ob3ob2o2b2obobobob3ob2o3b2o$3ob2o6bobo2b2o2bo2bobob2o5b
o3bobo2bobobo2bobo2bob7ob7obobo4bobo2bob2o2bo2bo3bo3bo4b2o2b2obo2bo2b
2ob2ob2obo2b2obo2b7obo4bo2b2obobo2b2o6bobo3bo2bo8bob2o2b2o2bob2obobob
4obo2b2obo2bobo2b2o5bobobo$3ob2o3bob4o4bob2o5bob4o2b5o9bob4ob5obob6ob
obo2b5o2bobobob2o5b2o3bobo2bo5bo2bo3b2o3b3ob3ob2obo2bob2ob6ob2obo2bob
4o3b2ob3o2b7o2bob4ob2obo3bo3b3o4b3o4b4obobo2b3o2bo2b2o2b2o$b3o4bob2ob
2o4bo4bobob5o2bob2o2b3o7b3ob3ob3o2b3o2b2o4b4o3bob2o3bob4ob3o2bo6bo2bo
5b3ob3ob5o3b3ob4obobo3bo2b2o3bo2b2ob2o4bob5o2b4o2bo2bobo2bo5bo3b3obo2b
3o2bob2o7bob2o3bobobo2bo$5bo2b2obob2o4bo3bobobobobob3ob3o3b2ob3o2b3ob
ob2ob3obo3bob5ob3o2b4ob2o5b2obo9bo2bob2o3bo2bobo3bo2b3o3b2obo5bo6b2o2b
3o2bob3o2bob5obo2bobo4bo4b4o3bo2b4o2b2ob2obob2obob2obo2bo3bob2o4b2obo
$4o2b3ob3obo8bo2bo4bo5bob6obo2b3o2b2obob3obo2bobobo7b2o2bob5o3bob5o2b
10ob3o2bo6b3ob2obobo2b2o3bo6bob2o3bo2b4o2bob2ob2ob3o2b3obob3ob3o3bo2b
ob4o2bobob2ob2ob8ob4o2bobo2b3ob2o$bob3o3b3o2b4ob2o2bo5bobo6bo3bo5bo2b
obo2bobo3b3o4b2ob3o11b2o2b2o3b2ob6o2b2o2bo2bo2bob2o3bob2o2b4obo3bo3bo
b5obo2bobo4bobo2bo2bob2ob2o2b9ob3o10bob2ob2ob3o2b4ob3o2b5o3bob6o$bobo
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3bobo7b6ob2ob4o2b7o3b2o2b2ob2obo2b5obo2bobo7bo5b2o2bo5bo3bo3b2ob2obob
3o4b3obobo2b2o3bob2obobobo$bo3b3o3b5o3bo3b3ob2ob2o5b3o3bobob4o2bo4bo5b
3o2b3ob3ob2o2b2obo2bo2bob4obob2o4bob3obo5b2obo3b2ob2obo2b2obob4ob4o2b
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2bo2b7o2bo2bobo2b2o2bob3o2b4o2b3o3b2o2b6o2b2ob2o3bobo3bobobobo3bo2bob
o5bobob2obobo2b2ob4o2bobo2bob2o6bobo2b6o4b5ob3ob2obo3b2obob2ob2o3b3ob
2ob5o4b3ob2ob2o2bo$o2b2o4bo5b3obo2b2o4bob4o2bobobo4b2o3bobo2b2o2b3ob2o
3bobo3b8obo4bobo3bob2o2b2ob2o5b2o4bobo2b2o2b2obo2b2ob2o3b2obo3bob3ob3o
bo2bo4b4o3b3ob4o4b6ob2o2bo3bob3ob2o2b2obo2b2o2bo3b3ob2o2b3obob2o$2o4b
2o7b2o4b3obob2ob5ob2ob2ob5o2b2o4b2ob4obo2b2o2bob3o2bob2o4b2o3bo8bo7b2o
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4bo2bob4ob2o5bo4bo4bob3obob3ob2o$bob2obobob2o12bob9o8bob2o2b2o3bo2bo2b
2o3bo3b3ob4obo2b2o4b2o2bo2bobobo4b3o8bobo2b2ob2ob2ob3obo2bobo3bobo2bo
bobob3o2b2obobo2bob2obo2bo3bobob4ob2obobob2ob2obobo2b5o2bob5o4bo3b3ob
2o4b2obo$bo2b3o4b4ob2o2b5ob2o2bobo2b2ob3o4bobob8ob2ob2o2bo2bo5bo2b4ob
o3bobo2bobobobobo2b2obo2b5ob2ob2obo4b3obo3bo2b2ob4obobob4o2bo3b2obob2o
bo8b2o5b2ob2obob3obo2b8obo3b6obo4b4ob4obobobo2bo$4bobobob5o4bo2b3ob2o
2b3o3b3o6b7o2b2o3b2o2bob3ob2o4bo2bobo2b4ob4obo2b2o3bo2bo4b2o2b7o8b4ob
o2b2o4bo2b4obo2bo4bo2b2o3b2ob2ob2o2bo2bobobobobo2b5ob2o2b5obo4bobo3b2o
b4ob2obobobo2bobo$o2bobobo2b3obo2b2obob3obob2o5bo2bob4ob2o2bo2bo3bobo
2b2o2bo2b5o3b3o2b3obobo2bo5bo2bob5o2b3obo3bob3o2bobo5bo2bo2b2ob5obob4o
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o$2bo2bob2o2bo4bob5o3b2o2bobo2bobo8bob3o3b2o2bobo2bobo2b4o3bo4bobo2b2o
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bo3bob4o3b2o3b2ob2o4b2obob3obobo2bo6bo2bobobob2o$b3o2b2o4b2o4bobo2b3o
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obob2o4b2o2bo2bo$o2b2o2b2obo3b2o4b3o2bo3bo3b2obobo2b2o2bob3o4bob3o3b2o
2bo3bobo4b2ob3o2b2ob2o2b2obob3ob2o2bo5b3obo3bob2obobo2bobo5bob4o4b2ob
o5bo2b6obo2b2obo7bobob3o3b5o3bo5bo3b4o3b2ob6ob2o6bobo2b2o$ob5o5b3o4b4o
3b2obo2bo3bobo3bob2obo3b2o2b4o3b3o2bobobobobob3ob4o2bobobo2b2obobobob
3obo2bobo3bo5b2o2bo2bobob3obobo2b3o4b4obob2o2b2o2bob2ob2ob2ob3o3bo2b5o
b8o2b3obo4b5ob2ob3obob2o2bob3o2bobo$4ob3obo3bobo5bo3bo4bo2bob2obo3b2o
b4obobo5b2ob2ob3o3bo2b2o5bobob2ob2ob3obo7b2ob2obob3o3b3o3b2o2b3o3b3ob
6obo3bobo2bo2bo2bobo2bo3b2o2b2o4bo7b2ob2o4bo2b2o2bob2o2bo2bobo2b4o2bo
bobobob3ob2ob3o$o2bobo3b2obo3bobo2bo2b2o3bo2b5ob2ob2ob2o3bobobobo2b2o
5bo2bo2bo2bobobobob2obo2b3obo2b2o5bob8o3bobo3b2ob2o2b2obob2obobob2o2b
o3b4o2b2obo2bobo2b2o3bo2b3o3bo2bo3b2obobo4bob3ob8obobo3bobo3bobo3bo2b
ob2o2bo$2ob2o3b2o2bo2b3o2b2o4b2o3bo2bo2b2o3bobo3bob2o4bob3ob3o2bob3o2b
o2b2o2b4o2b2ob2ob7o4bobo3b2o4bo3b3o2bobob2o2b3o6bo3bo2bobob3obo5b2o3b
ob2o2b8ob2o2b2obo2b2o2b4obo2bobo2b2o6b2o2b2ob2o3bo3b3obo$b2obob2o4bob
2o2bobo2b4obobobo2bo2b3o3b4o3b3ob2obo3b2ob7ob3o7b2o3bo2b4o3bobo2b3o2b
2obob3o2b3obobo2bo2bobob2ob6o2b3obob3o2b2ob2o3bob3obo4b2o2b2ob11obob2o
2bo3bo2b2o2b5o4b2ob4o3bo5b2obo$4bo6b4ob2obob2obo2b2o2bob4ob2o2b2obo3b
ob2ob3ob4obo2b4obo2b2o2bo2bo2bo6bo2b2ob7ob3o6b3ob2o3bo2bo6b2obo2b3ob3o
b3ob2o3bo2b2o5bobob2o7bob3o5b3ob4obo2b2ob2ob2obob2o2bobo2b4obobobobo2b
2o2bo$obobob4ob3obobob4o3b4o2bo2bobobo3b2o2b2o2b6obo5b3o2b4o4bo3b2ob2o
4bo4bobo2b2o3b4o3b2o3bo5bo3b4obo2b2o2b4ob2ob3ob4o3b3o3bo2bobo5bo6b2ob
obob2ob3o5bob2obobob2obobo2bobobobo2b2o2bo2b3o2bo$o2b2o4b4o2bo6b4obo3b
2obob3ob2ob2ob3ob2o4bo2b4ob2o4b2o3b5ob2ob2obob2o3b2ob3ob2o2b2ob3obob2o
b4ob2o3bob3o4bobo2bob3o2b3o5bo2b3o2b2obo2b4o2bobo2b5o3b2obo3b2obo2bob
o3bo5bo3b2o4b2o2b2obo2b3o$5b2ob2o2b2obob2o4b2o3bob2o5bobobo2bo6b2o5b2o
3b3ob2ob2obob2ob3o3bob3o2b2obo4b2ob4ob4o3bob3o2bobob2o4bob5o4bo3bob2o
b2o3b2ob2ob3o3b3o2b2ob2o2bo4b2o2b3obo4b2o2b3o2b3o4bobobo2bobob2obobob
2o2b2obo$4obobo2bo2b2o2b4obobo2b2o2b3ob2obo2bob3ob2ob3ob5o6b2obo4b2ob
o2b2o2bo3b2obob3o2bo2bo2bobobo6bobo4b3obo3bobo5bo3bo2bo3b3o3b3o4b2obo
bob2ob8obobobo2b6ob2o2b2o2b2o3bob5ob2obo2bob3obob4o2b2o$bo5b2ob2o3bo2b
obob3o2bo2b7obob3ob16obobo5b3obo3bo4bobo2bo2bo3bo4b2o2b2o3b5obobo6b4o
2b2ob2ob2o3bobobo2b2ob3ob2obo9bobo3bo2b2ob4o3b3o3bo3bobob3ob2o5b5ob2o
2b3o2b8ob3obo$3o2b4obo3b7obo2b3obo3bo4b2ob2ob2ob2ob2o3b2o2b3obo3bob2o
b2obob5o3b2o3b2ob3o4bo5b2o2b5obob7o4bob2o2b2o2bo2b2o5b3o2bo6bo3bo2b2o
2bobo2bo2b2ob2obo3bo3bo2bo2b6o3bobobo3b5obob2o2bobobobo$o5bobo2bob6ob
3ob2o2bo2bobobob4ob2ob3obo4bobo2b5ob3o3b2o2bo4bobobo3bob3o2bob2ob3o3b
ob3o7b4ob2ob2ob2o2b2o2bobob3o2b3o2b3obo2b2o2b3o10bob2ob4ob3obobobobo2b
obo6bob4obo2bobo2b5obob2o2b6o$3ob6obobob2obobo2bobobobo2bobobo4bo3b7o
b3o2bo3bo6bob2obo3bobo2bobobo2b3o3b4ob2o3bobobo3bo2b3o3bob3ob2o3bob2o
bob3ob2obo4b2o9b5o2b4ob2obobo2bobo2b2ob3o3b6o3bob2o3b2o2b4o3b4obo4bob
obo$4b6ob2o3b2o3bob6obo2bob2ob3o2b2o2bobobobo2bob3obobobo4bo4bob5ob2o
2bobobobo2b5o6bo2b4o2bob2o7bob2obob8o2b7obobob2ob3o2b2obob5ob3o2b3obo
bo2b7o4b5obobo5b3o6b2o3bob2o5b2o$b2ob2o2bo2b5ob8o4bo4bobo3bo2b2o3bo3b
ob6o2bo2bobo2b4ob3o2bo2bob2ob3obo4bo3bob2ob3o2bo2b2obob4obo2b2ob2o2bo
bo2b4obo3bobo2bob4o5b2o4b4ob2obob2o8b6ob2o4b3obobob4obobob2o3bob4ob2o
$3bo2bob5obo2bo5b3obobobo6b2o2b3o4bobobo2bo2bo7b3o3b2o3b2obo2b3obo2bo
2b3o3b2ob3ob2obo5bobo3bo4bobobobo5b2ob3o2bob3o2bo4b3obobo2bo2b2ob5obo
bo2b4o2b5o2bo2bo7bobob6o2bo4bob2o3b3ob2o$ob2ob2obobobo2b6obob2obo8b5o
b3ob2ob2o4b2obo8b2o2bo2bobo5b2ob2ob6o2b3obo3bo2bobo2b3ob2o2bo2bo2b2ob
4o4b4ob3o3bobo2b4o5b5obobo4b5obo2bo2b2obo4b2o2bo3b3ob4obo3b2obob2o3b3o
bobo4b3o$4o3b2obo2b3obobo3bo4b4obob2ob2o2bo2bobo3bobob3ob2obob3o2b2o2b
ob2ob2obo3b2o3bo3b2ob5obo2bobob7obo2bob2obob3o2b7o2bo2b2o2bo2b5o2b2o2b
o5bo3bo2bo5bo3b2obo2bo3b3obo4b4o2bo2b2ob6o3bo2b2o2b5o!

[hotcrystal0]

a pattern that will survive forever, yet will never return to any of it's prior positions

Code: Select all

x = 4, y = 5, rule = B3-cek4-ceijz5-aik6cik7e/S2-ac3-y4ejktz5ck6e
bo$o2bo$o2bo$o2bo$b3o!