Author: Marc Bourzutschky
Date: 17:21:38 05/16/04
Go up one level in this thread
On May 16, 2004 at 19:56:08, Norm Pollock wrote: >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 I only calculate 186 castling positions for white, assuming the white king has to be on e1. In addition, your argument does not seem quite right, because even if one side has castling rights the symmetry is broken, even if the other side does not have castling rights...
This page took 0 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.