Author: Norm Pollock
Date: 16:56:08 05/16/04
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On May 16, 2004 at 17:27:10, Marc Bourzutschky wrote: >On May 16, 2004 at 17:12:12, Dieter Buerssner wrote: > >>On May 16, 2004 at 14:28:48, Marc Bourzutschky wrote: >> >>>Max Euwe: 4,147,200 >>>Noam Elkies: 8,294,400 >>>Paul Epstein: 5,317,600 >>>Marc Bourzutschky: 5,149,368 >> >>Dieter Bürßner: 4,665,582 >> >>Idea: 2880 positions per side, of which 2694 have no castling possibilities. >> >>x = 2880^2-2694^2/2 >> >>I fear, I thought too simple, >>Dieter > >If instead of 2694 in your formula you use 2508 you get the Bourzutschky result. > The difference is that 2508 is the number of positions where neither the >position itself, nor the mirrored position, has castling rights... Fwiw, I disagree with the explanation of 2508. I think the 2508 is just the number of positions that do NOT have castling positions. I calculate 372 castling positions of the 2880 possible positions, therefore 2508 in my calculations is the number of positions without castling rights. x = 2880^2 - (2508^2/2) = 5,149,368 is still correct. It says take all the positions of both sides then remove the duplicate of those positions where neither side had castling rights. -- Norm
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