Difference between revisions of "Open problems"
From HexWiki
m (added cat. theory) |
m (added link to javerberg-wccanard problem) |
||
Line 5: | Line 5: | ||
* 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?
- 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 a winning opening move?
- Two further open problems are posed by Jory in the Little Golem forum.