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Nasmichael Farris wrote on 2004-11-08 UTCExcellent ★★★★★
How many Alice Chess games have been played at the ChessVariants Courier Play by e-mail system? Any favorites from the players here? I would like to correct myself in terms of the knight tour for Alice--the bishops can move forward and backward past the 'goal square' -- like parallel parking a car- -- and thereby hit any square on both boards. But the knights are a bit more trouble mentally, to hit a square on either board. It seems like the piece, on a tour, having hit every other square in the tour once, could shift the pathway and set about coming back to the target mirror squares. If a note from George Jelliss at the website is used in reference to an algorithm for normal 64 square chessboards-- --'It is in fact possible to devise rules that will produce an exact tour, without deviation from the rule at any point, and without backtracking. In Chessics #22 (1985) I gave four examples of such 'Synthetic Tours'. They use Warnsdorff's rule ('Play the knight to a square where it commands the fewest squares not yet used') in conjunction with either the Obtuse rule ('Play the knight at as obtuse an angle as possible to the previous move - straight if possible') or the Acute rule ('Play the knight at as acute an angle as possible to the previous move'). The second rule either takes over when Warnsdorff's rule breaks down (I write these rules WO and WA), or the second rule is applied to the choice of moves suggested by the first rule (I write these rules W/O and W/A). The four combination rules all work if the tour is started a1-b3'-- then perhaps the idea could be extrapolated to the Alice boards. I have not yet done so today, but I aim to try. That would mean that the square is a WHOLE TOUR at most from that mirror square, and so would be useless for most short games, but something to consider. (Most games are so far much shorter than a corresponding 'FIDE Standard' game counterpart.) Or again, now that I am sitting still thinking about it, perhaps you are right. Again, thanks to all for their contributions.

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