by Running, Fall Up on July 31st, 2007

Running, Fall Up

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How many possible moves are there in chess?

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Answers. 4 helpful answers below.

  • by iwnit on July 31st, 2007

    iwnit

    1) "The number of legal positions in chess is estimated to be between 10^43 and 10^50, with a game-tree complexity of approximately 10^123. The game-tree complexity of chess was first calculated by Claude Shannon as 10^120, a number known as the Shannon number. Typically an average position has thirty to forty possible moves, but there may be as few as zero (in the case of checkmate or stalemate) or as many as 218."
    Source and further information:
    http://en.wikipedia.org/wiki/Chess


    2) "Chess is infinite: There are 400 different positions after each player makes one move apiece. There are 72,084 positions after two moves apiece. There are 9+ million positions after three moves apiece. There are 288+ billion different possible positions after four moves apiece. There are more 40-move games on Level-1 than the number of electrons in our universe. There are more game-trees of Chess than the number of galaxies (100+ billion), and more openings, defences, gambits, etc. than the number of quarks in our universe! --Chesmayne"
    Source and further information:
    http://www.chess-poster.com/english/notes_and_facts/did_you_know.htm


    3) Other interesting sources:
    How many moves possible in chess:
    http://forums.appleinsider.com/archive/index.php/t-12917.html
    Chess Moves:
    http://www.physicsforums.com/archive/index.php/t-47078.html
    Maximum possible chess moves:
    http://www.chessatwork.com/board/showthread.php?threadid=73646&page=2

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  • by hijklmno on July 31st, 2007

    hijklmno

    According to an article on the BBC website there are a billion billion billion billion billion possible positions.

    Article (about draughts/checkers) is here: http://news.bbc.co.uk/1/hi/sci/tech/6907018.stm

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  • by Aly Motter on July 31st, 2007

    Aly Motter

    uhm...who knows...

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  • by wiztax on June 17th, 2010

    wiztax

    The permutations cannot be infinite. There are 64 squares, 16 pawns, and 16 pieces, so it is not possible to have an infinite array of possibilites with a finite number of squares and objects. The number may be exceedingly large, but it cannot be infinite. Eventually, all of the possible permutations will be exhausted.

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