Dots-and-Boxes 4x6 Swedish Game Analysis Results

These are the results after the first player's move. Most surprising is the fact that the first player may begin by giving away a corner box and still get the best result of a win by 2 boxes.

   +-----#-----+-----+-----+-----+-----+
   |     |                             |
   |     |     4     4     4     4     |
   |     |                             |
   +  2  #  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     4     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +       Next move
   |                                   |       after corner taken
   |     4     4     4     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     4     4     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----#-----+-----+-----+-----+
   |           |                       |
   |     4     |     4     2     4     |
   |           |                       |
   +  4  +  4  #  4  +  2  +  2  +  4  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   +  0  +  4  +  2  +  2  +  2  +  2  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   +  4  +  4  +  2  +  2  +  2  +  4  +
   |                                   |
   |     4     0     4     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----#-----+-----+-----+
   |                 |                 |
   |     4     4     |     4     4     |
   |                 |                 |
   +  4  +  4  +  4  #  4  +  4  +  4  +
   |                                   |
   |     2     2     2     2     2     |
   |                                   |
   +  2  +  2  +  2  +  2  +  2  +  2  +
   |                                   |
   |     2     2     0     2     2     |
   |                                   |
   +  4  +  2  +  2  +  2  +  2  +  4  +
   |                                   |
   |     4     4     0     4     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     2     4     4     4     4     |
   |                                   |
   #-----#  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     4     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +       Next move
   |                                   |       after corner taken
   |     4     4     4     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     4     4     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     4     4     2     4     |
   |                                   |
   +  4  #-----#  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     2     4     4     |
   |                                   |
   +  2  +  2  +  4  +  4  +  4  +  2  +
   |                                   |
   |     4     2     4     2     4     |
   |                                   |
   +  4  +  2  +  4  +  4  +  2  +  4  +
   |                                   |
   |     4     4     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     4     4     2     4     |
   |                                   |
   +  4  +  4  #-----#  4  +  4  +  4  +
   |                                   |
   |     4     2     2     4     4     |
   |                                   |
   +  2  +  2  +  4  +  4  +  4  +  2  +
   |                                   |
   |     4     2     4     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     4     2     2     4     |
   |                                   |
   +  4  #  4  +  4  +  4  +  4  +  4  +
   |     |                             |
   |     |     2     2     2     2     |
   |     |                             |
   +  4  #  4  +  4  +  4  +  2  +  2  +
   |                                   |
   |     2     2     2     2     2     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +  4  +  4  #  2  +  4  +  4  +  4  +
   |           |                       |
   |     2     |     2     2     2     |
   |           |                       |
   +  2  +  2  #  4  +  4  +  2  +  2  +
   |                                   |
   |     2     2     2     2     2     |
   |                                   |
   +  4  +  2  +  2  +  4  +  2  +  4  +
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +  4  +  2  +  2  #  2  +  2  +  4  +
   |                 |                 |
   |     2     2     |     2     2     |
   |                 |                 |
   +  2  +  2  +  2  #  2  +  2  +  2  +
   |                                   |
   |     2     2     0     2     2     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     2     0     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     0     2     2     4     |
   |                                   |
   +  4  +  2  +  2  +  2  +  2  +  4  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   #-----#  0  +  2  +  2  +  2  +  0  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   +  4  +  2  +  2  +  2  +  2  +  4  +
   |                                   |
   |     4     0     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     4     2     2     4     |
   |                                   |
   +  4  +  2  +  2  +  4  +  4  +  4  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   +  0  #-----#  4  +  4  +  2  +  2  +
   |                                   |
   |     4     2     2     2     2     |
   |                                   |
   +  4  +  2  +  2  +  4  +  4  +  4  +
   |                                   |
   |     4     4     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+



   +-----+-----+-----+-----+-----+-----+
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     4     2     4     4     |
   |                                   |
   +  2  +  4  #-----#  0  +  4  +  2  +
   |                                   |
   |     4     4     2     4     4     |
   |                                   |
   +  4  +  4  +  4  +  4  +  4  +  4  +
   |                                   |
   |     4     2     2     2     4     |
   |                                   |
   +-----+-----+-----+-----+-----+-----+
David Wilson / dwilson@cae.wisc.edu