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Subject: Re: Board games and mathematical complexity: a poll

Author: Laurence Chen

Date: 09:45:19 12/11/02

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On December 11, 2002 at 12:34:21, Bruce Cleaver wrote:

>On December 11, 2002 at 12:00:12, Edward Seid wrote:
>
>>Please rank the following games in order of mathematical (programming)
>>complexity.  Also, if you can, provide a degree of magnitude to quantify your
>>ranking.
>>
>>Western Chess
>>Shogi
>>Go
>>Xiangqi (Chinese Chess)
>>Othello
>>
>>Also, feel free to add any other games I didn't include.
>
>mathworld.wolfram.com has estimates of the # of legal positions for these games.
> Go is far and away the winner (10^170).  Western Chess has about 10^43, and
>checkers maybe 10^21.  Dunno about shogi.
Shogi is more complex than Chess.  Captured pieces may be re-introduced into the
game at any stage which makes the game more dynamic.
I rate from most complex to program to least as follows: Go, Shogi, Chess,
Xiangqi, Othello.



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