Looks like a fractal to me. Easy to test: just calculate the fractal
dimension (using e.g. the box counting method) over a range of board sizes. If
you find a fractal (or mult-fractal) relationship - and maybe compare pure MC
against one of the variants - you could probably get a decent paper out of it.
You see similar images from percolation studies and iterated prisoner's
dilemma.
Dave Hillis
-----Original Message-----
From: [EMAIL PROTECTED]
To: computer-go@computer-go.org
Sent: Tue, 20 Feb 2007 10:20 AM
Subject: Re: [computer-go] Big board
On Monday 19 February 2007, Chris Fant wrote:
> Here is a completed game of Go between two random players... on a very
> large board.
>
> For ascetics, the eyes have been filled after both players passed.
>
> http://fantius.com/RandomGo1600x1200.png
this is very interesting. Can you compute some properties, like the
distribution of cluster sizes, or diagrams for cluster size / boundary size
pairs? I don't know much about fractals, but does this picture have some
fractal properties, too?
- Markus
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