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Tagged with mathematics game-complexity
4
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Incorrect upper bound on number of possible chess positions (10^41)?
I've written a script implementing a basic idea to count the number of chess positions. I've not even accounted for legality of the positions or difference in light and dark square bishops. Despite ...
1
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1
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More accurate estimate of chess games possible
I have heard of Shannon's number (10^120) which is the supposed number of possible chess games computed in the 1950s. But Shannon's estimate is criticised for including illegal moves.
What is a truer ...
12
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3
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What is the average number of legal moves per turn?
For example in the first turn there are 20 possible legal moves (16 pawn moves and 4 knights moves). This number increases in the middlegame and then decreases in the Endgame.
Are there some ...
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What is the number of legal positions in a chess game?
There have been several questions regarding the possible number of chess games. for example; Database of every possible move in chess. However,can there be an estimate on the number of "allowable&...