I've started playing with this too. It may be a missing piece to a puzzle 
that interests me. I doubt anyone with a background in fractals could look at a 
go board and not see something there.
 
     I'm comparing "light" MC playouts (pure random, non-eyefilling) and 
"heavy" (it tries to find a move in the vicinity of the opponent's last move 
that makes a "good" 3x3 pattern, failing that, it makes a random, 
non-eyefilling move). The heavy version is similar to the one in my go engine 
but without the tactics. Adding the tactics might change the scaling effects 
(picture a ladder hundreds of stones long).
 
     The games are played on a 512x512 normal board.
 
     When I look at the final states, I can't visually distinguish them. I 
tested the fractal (box counting) dimension on a small sample and any 
difference would seem to be very small.
 
     Unlike the final states, intermediate states look very different. I'm 
temporarily posting some images:
 
http://mysite.verizon.net/antminder/
 
Dave Hillis
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