Difference between revisions of "Swap"

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m (cat. basic strat.)
(tried to take discussion page into account)
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*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.  
  
===Size 4===
+
Hex is not strongly solved on big sizes, therefor the result of [[optimal play]] is not known for every cells.
<hex>R4 C4 Va1 Vb1 Vc1 Hd1
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            Va2 Vb2 Hc2 Vd2
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            Va3 Hb3 Vc3 Vd3
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              Ha4 Vb4 Vc4 Vd4</hex>
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===Size 5===
+
<hex>R5 C5 Va1 Vb1 Vc1 Vd1 He1
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            Va2 Hb2 Hc2 Hd2 He2
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            Va3 Hb3 Hc3 Hd3 Ve3
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              Ha4 Hb4 Hc4 Hd4 Ve4
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              Ha5 Vb5 Vc5 Vd5 Ve5</hex>
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===Size 6===
+
<hex>R6 C6 Va1 Vb1 Vc1 Vd1 Ve1 Hf1
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            Va2 Hb2 Hc2 Hd2 He2 Hf2
+
            Ha3 Hb3 Hc3 Hd3 He3 Hf3
+
              Ha4 Hb4 Hc4 Hd4 He4 Hf4
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              Ha5 Hb5 Hc5 Hd5 He5 Vf5
+
                Ha6 Vb6 Vc6 Vd6 Ve6 Vf6</hex>
+
===Size 7===
+
<hex>R7 C7 Va1 Vb1 Vc1 Vd1 Ve1 Vf1 Hg1
+
            Va2 Vb2 Hc2 Vd2 He2 Hf2 Hg2
+
            Va3 Hb3 Hc3 Hd3 He3 Hf3 Vg3
+
              Ha4 Hb4 Hc4 Hd4 He4 Hf4 Hg4
+
              Va5 Hb5 Hc5 Hd5 He5 Hf5 Vg5
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                Ha6 Hb6 Hc6 Vd6 He6 Vf6 Vg6
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                Ha7 Vb7 Vc7 Vd7 Ve7 Vf7 Vg7</hex>
+
  
===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
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                       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

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 faq about Hex

A more complete site with solution to sizes 7. Beware, the colors are inverted, vertical is blue there.