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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