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Re: How Many Games of Chess?



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| From: Lefty  <[email protected]>
| To:  <[email protected]>
| Subject: Re: How Many Games of Chess?
| Date: Friday, April 01, 1994 9:31AM
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| >This is tangentially related to crypto.  I've been reading A.K. Dewdney's
| >I was glancing through the chapters on complexity,
| >computabilty, and minimax trees, and I got to wondering something:  how
| >many possible games of chess are there?  I know that it has to be a finite
| >number, but I'm not sure how to go about finding this number.  Any
| >pointers would be appreciated.
|
| It doesn't seem to me that this _can_ be readily calculated in any
| reasonable amount of time.  It's not a simple (realtively) combinatorial
| problem: the configuration of the board at any given point limits the legal
| moves in an extremely nontrivial way.
|
| I believe I can get you as far as the second move, though: I make it to be
| twenty-one possible openings and twenty-one responses.
|
| --
| Lefty ([email protected])
| C:.M:.C:., D:.O:.D:.
|
|
|

I seem to remember from way back in high school that the number of 
potential moves by the third set of moves is on the order of billions 
of legal moves. I am also pretty sure that it is not exponential but a 
factoral growth. I don't think that it is possible to determine every 
possible game.

Mike
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Mike Markley              || The opinions here do not represent the
[email protected]    || opinions of my employer. Attempts to
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   "I want to look at life, In the available light"
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