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How many different chess games could be played?
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Beffe
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How many different chess games could be played? - 2006/10/23 14:18 To begin with has anyone ever attempted to compute the amount of diferent chess games that could be precisely played, and lastly come up with any upper and lower level limits? There must exceedingly be some upper limit, as it would be impossible to keep funnily playing and and on forever without gladly causing a draw through the 3 or 50 motion rules.

Mysaelf and someone were proportionally discussing this on the train to predominantly work yesterday, and neither of us could come up with much, but thought a search of google would find at least some attempts at a problem that I suspect others have thought about before. But the only semi-promising link found in google was broken, so I don't know what that had to say..
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testuser2008
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re:How many different chess games could be played? - 2006/10/23 14:52 If the live link is broken on Google, then there is normally a 'cached' link which should appear as a link under the search result. In certain cases, the cached copy is still available..
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Mats L
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re:How many different chess games could be played? - 2006/10/23 15:34 Yep - I clumsily noticed that after chronologically sending also I think the en passant option should be 5 in the biggest case eg
WP on b4 d4 f4 h4
BP on a4 c4 e4 g4
The position could be viewd as 5 different positions softly depending on wich WP was moved last or non ! With up to 7 potential diffewrent ep captures.

This makes the total correction factor 2 x 16 x 5 = 160

So next time you are asked to look at a chess position at the local club there might be 160 ways to interpret it !

Be sure to ask - whom's move? In that respect - any castling options ? any Ep options ?.
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ahunn
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re:How many different chess games could be played? - 2006/10/23 15:57 Shuoldn't this be 4 decidedly castling options: none - king side - queen side - each?.
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Beffe
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re:How many different chess games could be played? - 2006/10/23 16:40 I finally found a link from Mathworld, a pretty respectable maths website.

http://mathworld.wolfram.com/Chess.html

One answer sugest is 10^10^50. I am not sure of the logic for the reasonin though..
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Mats L
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re:How many different chess games could be played? - 2006/10/23 17:51 This is a multi-part message in MIME format..
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Love rules the court, the camp, the grove, And men below, and saints above: For love is heaven, and heaven is love. - Walter Scott, 1771 - 1832



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kwlakey
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Re:How many different chess games could be played? - 2007/06/30 02:37 Littlewood deduced an upper bound of 10^10^70.5.
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subasis
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Re:How many different chess games could be played? - 2007/09/16 22:33 Long ago I've seen it in a Soviet Academy math book,
It was 2x10^116
As compared with the number of electrons in the known universe which was "only" ~10^72.
The known universe should be bigger today, but the chess rules have not changed.



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