Difference between revisions of "Open problems"

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m (added cat. theory)
m (added link to javerberg-wccanard problem)
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* Conversely, is it true that, for example, c3 is a winning first move on every Hex board of size at least 5?
 
* Conversely, is it true that, for example, c3 is a winning first move on every Hex board of size at least 5?
  
* Does there exist an [[edge template]] which guarantees a secure [[connection]] for a [[piece]] on the sixth row?
+
* [[javerberg-wccanard problem]]: Does there exist an [[edge template]] which guarantees a secure [[connection]] for a [[piece]] on the sixth row?
  
 
* Is the [[center hex]] on every Hex board of [[Odd size board|odd size]] a winning opening move?
 
* Is the [[center hex]] on every Hex board of [[Odd size board|odd size]] a winning opening move?

Revision as of 23:43, 5 January 2009

  • Are there cells other than a1 and b1 which are theoretically losing first moves?
  • Is it true that for every cell (defined in terms of direction and distance from an acute corner) there is an n such that for any Board of size at least n that cell is a losing opening move?
  • Conversely, is it true that, for example, c3 is a winning first move on every Hex board of size at least 5?