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Choiss. Starting with a 2x2 center, players assemble a 64 square board of any shape before play.[All Comments] [Add Comment or Rating]
Joost Brugh wrote on Sun, May 21, 2006 06:33 PM UTC:
I played it a few times. I think I figured out the algorithm.

After placing the tiles, there are 12 ranks with total number of squares
64. Define: Area(n) = Number of squares on ranks 1..n. As there are 12
files, Area(1) = 0..12, Area(2) = 0..24 etc. Area(12) = 64. White may
place pieces on rank r if Area(r) is 32 or less. For Black, it works the
same, except that rank 12 is now rank 1 etc.

For example, if White and Black construct a Chessboard on ranks 2..9 (with
eight squares on each rank. Then, for White: Area(1) = 0, Area(2) = 8,
Area(3) = 16, Area(4) = 24, Area(5) = 32, Area(6) = 40 Area(n) > 40 for
n>6б, so White can place pieces on ranks up to 5. For Black the same
results in ranks from 12 down to 6.

If Area(n)=33, you just can't place pieces on the n'th rank. The maximum
number of squares on the n'th rank is 12, so Area(n-1) must be at least
21. This is enough space to drop the 16 pieces. The game, however gets
stuck if you have to drop your King into check.

Jeremy Good wrote on Sun, May 21, 2006 03:11 PM UTC:
I'd like to know more about the rules on how to play this game: How do the two players get to decide where to put the squares?

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