Matt Gokey wrote: > I'm not sure I agree with this. I hypothesize that 2d, 3d, 4d, torus, > or any other shape is completely irrelevant with regard to game play. > The only thing that matters is the graph topology. A corollary is that > on any board that is completely balanced at the beginning with > identical number of neighbors for all nodes, any 1st play is > equivalent and therefore optimal. It is true that the graph topology is the thing that matters, but having an identical number of neighbors for all nodes does not mean that the graphs are similar (isomorphic). For instance in the 3D diamond graph, each node (disregarding the edges) has 4 neighbors as usual, but there are 12 neighbor's neighbors, whereas normal Go board has only 8 (4 diagonals and 4 one-point jumps). I'd say there is a huge difference.
-- Tapani Raiko, <[EMAIL PROTECTED]>, +358 50 5225750 http://www.cis.hut.fi/praiko/ _______________________________________________ computer-go mailing list computer-go@computer-go.org http://www.computer-go.org/mailman/listinfo/computer-go/
