I think it would make the most sense to make the measurements at the stage
of the game where a human expert would find it easiest to distinguish them by
looking at the board (After the first 30 moves?) Waiting till the end probably
isn't ideal, although it was a perfectly good place to start.
There might be some other physics thing but fractal dimension is out for
19x19. If I want to measure the fractal dimension of a 512x512 board, I make a
measurement, reduce the x and y dimensions by a factor of 2, and repeat until
done. Then I try to fit a curve to the 8 or so resulting points: not great, but
doable. If I start with 19x19, I wind up trying to fit a curve to a couple of
points: garbage. Or maybe there's some clever way to make a 19x19 game
effectively bigger by looking at the sequence of moves and measure the fractal
dimension of that.
Dave Hillis
-----Original Message-----
From: [EMAIL PROTECTED]
To: computer-go@computer-go.org
Sent: Thu, 1 Mar 2007 3:27 AM
Subject: Re: [computer-go] Re: Big board
> Chris Fant opened a door by demonstrating how easy it is to generate
> a decent sized image from a go game using fast playout games. ...
> ... But there's not a lot to be done with a 19x19 grid.
> ...
> And I agree with you that the middle image is getting close to a
> proper fractal but not yet there.
Just trying to understand what you guys are talking about... I realize
it is a rather small picture, but do the terminal positions of 19x19
games between very strong players show more fractal qualities (or some
other physics "thing") than between, say, 15 kyu amateurs?
Or, from another angle, how do you imagine a very large board would look
in a game between two very strong players? And would it be any different
for 15 kyu players?
Darren
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