Difference between revisions of "Hex theory"

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The most important properties of Hex are the following:
 
The most important properties of Hex are the following:
  
* The game can not end in a [[draw]]. ([http://www.cs.ualberta.ca/~javhar/hex/hex-nodraw.html Proofs] on Javhar's page)
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* The game can not end in a [[draw]]. ([http://javhar1.googlepages.com/hexcannotendinadraw Proofs] on Javhar's page)
 
* The [[first player]] has a [[winning strategy]].
 
* The [[first player]] has a [[winning strategy]].
 
* When playing with the swap option, the second player has a winning strategy.
 
* When playing with the swap option, the second player has a winning strategy.

Revision as of 20:47, 23 February 2007

Unlike many other games, it is possible to say certain things about Hex, with absolute certainty. While, for example, nobody seriously believes that black has a winning strategy in chess, nobody has been able to prove that such a strategy doesn't exist. In Hex, on the other hand, a simple argument can show that the second player certainly does not have a winning strategy from the starting position (when the swap option is not used). Whether this makes Hex a better game is of course debatable, but many find this attribute charming.

The most important properties of Hex are the following:

See also

Open problems