Author Topic: Cellular automata  (Read 2975 times)

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Offline AngelFish

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Cellular automata
« on: January 30, 2011, 06:36:56 pm »
Does anyone have an interesting CA that they like?

This is one of my favorite 1D CA (because of its Turing completeness) and it was generated by the first Axe program I ever made. Rule 110:

∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline Galandros

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Re: Cellular automata
« Reply #1 on: January 30, 2011, 06:40:23 pm »
That one is interesting, although I haven't fully understand how it can be turing complete. Never thought/read much about it though. Just saw somewhere it was turing complete and I know in a intuitive way what is turing complete.
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Offline jnesselr

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Re: Cellular automata
« Reply #2 on: January 30, 2011, 06:56:40 pm »
I like Rule 90.

Offline calcdude84se

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Re: Cellular automata
« Reply #3 on: February 01, 2011, 08:53:08 pm »
I like Rule 30. Deterministic randomness FTW.
Game of life is great too.
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Offline willrandship

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Re: Cellular automata
« Reply #4 on: September 20, 2011, 11:24:46 pm »
Wireworld Rocks!

Offline AngelFish

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Re: Cellular automata
« Reply #5 on: September 21, 2011, 12:57:11 am »
That one is interesting, although I haven't fully understand how it can be turing complete. Never thought/read much about it though. Just saw somewhere it was turing complete and I know in a intuitive way what is turing complete.

As it turns out, Rule 110 has "structures" that can propagate down the grid at different angles. The multiple structures at different angles allow for "collisions" which can be placed properly to simulate other automata. That's basically how the proof goes.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline Spyro543

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Re: Cellular automata
« Reply #6 on: September 21, 2011, 06:21:08 am »
Er, that is not 1D though in your pic at the top of this thread.

Offline AngelFish

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Re: Cellular automata
« Reply #7 on: September 21, 2011, 09:42:12 am »
The rule is 1D in that only the current state of the system (a 1D line of pixels in that representation) is used to compute the next state of the system. The picture itself isn't 1D, but instead shows the evolution of the system over time.
∂²Ψ    -(2m(V(x)-E)Ψ
---  = -------------
∂x²        ℏ²Ψ

Offline yunhua98

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Re: Cellular automata
« Reply #8 on: September 21, 2011, 05:02:22 pm »
Does anyone have an interesting CA that they like?

This is one of my favorite 1D CA (because of its Turing completeness) and it was generated by the first Axe program I ever made. Rule 110:



lol, That was my first Axe Program as well that I made with all the code being mine.!  ;)
« Last Edit: September 21, 2011, 05:02:38 pm by yunhua98 »

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Offline Spyro543

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Re: Cellular automata
« Reply #9 on: September 21, 2011, 05:32:43 pm »
* Spyro543 likes standard Game of Life.

But Seeds is pretty cool too.

(Powder Toy is an awesome cellular automata emulator. It has tons of types of automata.)

Offline flyingfisch

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Re: Cellular automata
« Reply #10 on: September 21, 2011, 05:35:29 pm »
I like Game of Life and amoeba. <- I think amoeba is rule 0? I'll have to check.



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Offline willrandship

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Re: Cellular automata
« Reply #11 on: September 23, 2011, 06:33:58 pm »
Dang, I always thought this was powder toy :P thanks for also providing a link!

http://dan-ball.jp/en/javagame/dust/

I love using golly to mess with Generations (multiple stages of life, rules are a little weird, up to 256 stages) and making fascinating wireworld-esque creations.
« Last Edit: September 23, 2011, 06:34:58 pm by willrandship »