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 can there be more moves in a chess game than there are atoms in universe ??

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PostSubject: can there be more moves in a chess game than there are atoms in universe ??   Thu Aug 15, 2013 2:55 pm



Did You Know?

There are more possible iterations of a game of Chess (game-tree complexity) than there are atoms in the known universe--calculations put the number of atoms in the universe at roughly 10^81 and the number of possible moves in a game of chess at 10^123.


 
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PostSubject: Re: can there be more moves in a chess game than there are atoms in universe ??   Thu Aug 15, 2013 3:39 pm


Chess is a finite game - the 50 move rule and the 3 repeating
positions rule mean that no game can go on forever (in fact the
maximum game is something under 6000 moves I think?).

Therefore there are a finite number of distinct possible games (a
distinct game being characterised by a distinct sequence of moves).

However this is clearly a very big number tchr 
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PostSubject: Re: can there be more moves in a chess game than there are atoms in universe ??   Thu Aug 15, 2013 4:49 pm

st peter wrote:

Chess is a finite game - the 50 move rule and the 3 repeating
positions rule mean that no game can go on forever (in fact the
maximum game is something under 6000 moves I think?).

Therefore there are a finite number of distinct possible games (a
distinct game being characterised by a distinct sequence of moves).

However this is clearly a very big number     tchr 
tchr 
and the number of possible moves in a game of chess IS  calculated to be  in the order of 10^123.



a two-player zero-sum abstract strategy board game with perfect information as classified by John von Neumann. Chess has an estimated state-space complexity of 1046 [1], the estimated game tree complexity of 10123 is based on an average branching factor of 35 and an average game length of 80 ply [2].

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