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 Chess variants (10x8)

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4. Novembre 2003, 23:15:16
Thad 
Sujet: Re: Total Number of Gothic Chess Positions
Ed,

Interesting calculation, but I think you can do better. Since this is only a count of board positions WITHOUT any captures, any given pawn can only occupy one of six squares, NOT sixty, right? Also, once a white pawn is advanced, this decreases the number of available squares for the black pawn in the same rank by the number of squares the white pawn is advanced and vice versa.

What you've calculated is that there are at MOST x board positions without caputres, but what we really need is to know that there are at LEAST x positions. ;-)

Still interesting, though.

Thad

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