Difference between revisions of "Swap"
m (cat. basic strat.) |
(tried to take discussion page into account) |
||
Line 14: | Line 14: | ||
*The star marked hexes are average moves, so the game should be balanced with or without swap. | *The star marked hexes are average moves, so the game should be balanced with or without swap. | ||
− | + | Hex is not strongly solved on big sizes, therefor the result of [[optimal play]] is not known for every cells. | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | ===Size 10=== | + | === Small Sizes === |
+ | |||
+ | See [[Small boards]] to know which cells lead to victory with optimal play. You might however assume that you and your opponent do not play optimally, and decide to play tricky losing moves in order to trap you | ||
+ | r opponent ! | ||
+ | |||
+ | === Bigger Sizes === | ||
+ | |||
+ | [[Theory|Theoritical]] outcome is known for a few cells (for instance a1). For the other cells, stronger players advice can give a hint on wether a move should be swapped or not. One could also try to recognize a pattern in the winning cells for small boards and extrapolate to bigger sizes. | ||
+ | |||
+ | ====Size 10==== | ||
<hex>R10 C10 Va1 Vb1 Vc1 Vd1 Ve1 Vf1 Vg1 Vh1 Vi1 Hj1 | <hex>R10 C10 Va1 Vb1 Vc1 Vd1 Ve1 Vf1 Vg1 Vh1 Vi1 Hj1 | ||
Sa2 Sb2 Sc2 Hd2 He2 Hf2 Hg2 Hh2 Hi2 Hj2 | Sa2 Sb2 Sc2 Hd2 He2 Hf2 Hg2 Hh2 Hi2 Hj2 | ||
Line 53: | Line 37: | ||
Ha10 Vb10 Vc10 Vd10 Ve10 Vf10 Vg10 Vh10 Vi10 Vj10 </hex> | Ha10 Vb10 Vc10 Vd10 Ve10 Vf10 Vg10 Vh10 Vi10 Vj10 </hex> | ||
+ | ==== Size 14 ==== | ||
+ | TODO | ||
+ | ==== Size 19 ==== | ||
+ | TODO | ||
==See also== | ==See also== | ||
Revision as of 12:59, 5 January 2009
Contents
The rule
After Red played the first move Blue player is asked wether she wants to swap or not, that is to invert the colors or to keep on this way. Detailled article.
Where to swap
The use of the swap rule is to force the first player to play not too good moves. Therefore it is intersting to find out what are the moves that should be swapped (the best moves), what are moves that should not be swapped (the worse moves), what are the moves for which no answer is known yet.
On every size a1, b1 and symmetrical moves are known losing moves (except 2 x 2, where b1 wins, see small boards).
- The red marked hexes are not to be swapped.
- The blue marked hexes are to be swapped.
- The star marked hexes are average moves, so the game should be balanced with or without swap.
Hex is not strongly solved on big sizes, therefor the result of optimal play is not known for every cells.
Small Sizes
See Small boards to know which cells lead to victory with optimal play. You might however assume that you and your opponent do not play optimally, and decide to play tricky losing moves in order to trap you r opponent !
Bigger Sizes
Theoritical outcome is known for a few cells (for instance a1). For the other cells, stronger players advice can give a hint on wether a move should be swapped or not. One could also try to recognize a pattern in the winning cells for small boards and extrapolate to bigger sizes.
Size 10
Size 14
TODO
Size 19
TODO
See also
Guideline for the 10x10, in the basic strategy guide.
External links
A more complete site with solution to sizes 7. Beware, the colors are inverted, vertical is blue there.