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u(t) is called 60 times per second. t: Elapsed time in seconds. S: Shorthand for Math.sin. C: Shorthand for Math.cos. T: Shorthand for Math.tan. R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5) c: A 1920x1080 canvas. x: A 2D context for that canvas.
Theme challenge of the month: #symmetry
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  • u/tomxor
    #automata
  • u/rodrigo.siqueira
    Stephen Wolfram (creator of WolframAlpha and Mathematica) describes a deeper theory behind those Cellular Automata in his book A New Kind of Science. I invite you to listen to the interview about Cellular automata and its relation with Artificial General Intelligence - Stephen Wolfram and Lex Fridman (MIT AI teacher): https://www.youtube.com/watch?v=ez773teNFYA

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IV

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  • u/IV
    I think someone did a compressed one already. This one is 193B: t||(C=12,N=90,m=0);for(n=[i=N*N];i--;){u=i%N;v=~~(i/N);for(S=z=9;z--;S-=m[(~(z/3)+2+u)+(z%3-1+v)*N]|0); x.fillStyle=R(s=(n[i]=m?S-5?S==6|0:m[i]:new Date%2)*255,s,s),x.fillRect(u*C,v*C,C,C)};m=n
  • u/IV
    I have a toroidal version of 172B (166 without the wrapping) using a shorter draw, but the compressor doesnt like it: t||(C=12,N=90,m=0);for(n=[i=N*N];i--;){u=i%N;v=-~(i/N);for(S=z=9;z--;S-=m[(~(z/3)+2+u+N)%N+(z%3-2+v+N)%N*N]); x.fillText('⬛⬜'[n[i]=m?S-5?S==6|0:m[i]:new Date%2],u*C,v*C) };m=n
  • u/DaSpider
    #conway #gameOfLife

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  • u/tomxor
    Other sized w must be a power of 2 and i must be at least w**2+r+1 (r=neighbourhood radius) to allow the sliding window to correctly initialise, otherwise a bad sum will propagate throughout the grid usually causing everything to die.
  • u/KilledByAPixel
    👍 Thanks for the explanation!
  • u/tomxor
    hmm the larger than necessary i seems to be introducing artifacts... change to i=w*w+6 if you want to see the pure rule.
  • u/katkip
    Woow! I remember it from the The Powder Toy game

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remix of d/15836 by u/joe.m

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  • langton's ant. Chaos becomes order after about 10k iterations, wait for it...

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  • Table of Elementary Cellular Automata V2

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  • Table of Elementary Cellular Automata

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  • Rule 110 ~ The simplest known Turing complete system.

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  • 1D Cellular Automata with Random Rules

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