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Yes.
Check out "A new kind of science" by Stephen Wolfram.
ian
"Darren New" <dne### [at] san rr com> wrote in message
news:49cbbde0$1@news.povray.org...
>I wonder if you could create a fractal CA?
>
> Imagine a CA, where each cell is actually 9 subcells. You apply the rules
> to the subcells to make them live and dead. Then after each subcell
> generation, you interpret those 9 cells to decide whether the supercell is
> alive or dead (like, 5+ subcells alive means the supercell is alive or
> some such), and it turns out the supercells are following the same rules
> as the subcells.
>
> Just a curiousity triggered by earlier quantum-is-fractal link, Wolfram's
> New Science ideas, Permutation City, and
>
http://alcor.concordia.ca/~vpetkov/Unreasonable%20Effectiveness%20of%20Mathematics.pdf
>
> I wonder if there's a non-utterly-brute-force way of finding such a
> patter.
>
> (First post was wrong group. :-)
> --
> Darren New, San Diego CA, USA (PST)
> There's no CD like OCD, there's no CD I knoooow!
>
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