Posers and Puzzles

Posers and Puzzles

  1. Joined
    12 Sep '07
    Moves
    2668
    05 Jun '08 06:20
    Two players named Eks and Ohs play a game on an infinite chessboard. They place X's on O's alternatly, the aim getting five in a row horizontally or vertically. Diagonals don't count. Eks goes first. With perfect play, who wins, or is it a draw?
  2. Joined
    31 May '07
    Moves
    696
    05 Jun '08 07:41
    Victor Allis showed that Gomoku is won for the first placer on a 15x15 board, but with diagonals.
  3. Joined
    12 Sep '07
    Moves
    2668
    05 Jun '08 08:23
    I thought it was proven for smaller than 15x15, but anyway, my question was without diagonals
  4. Joined
    25 Aug '06
    Moves
    0
    05 Jun '08 10:25
    Originally posted by Dejection
    Two players named Eks and Ohs play a game on an infinite chessboard. They place X's on O's alternatly, the aim getting five in a row horizontally or vertically. Diagonals don't count. Eks goes first. With perfect play, who wins, or is it a draw?
    Hint: pairing strategy
  5. Joined
    12 Sep '07
    Moves
    2668
    05 Jun '08 11:37
    David, seeing as you seemed to have solved my question, why don't you try 9 in row on an infinite board, diagonals counted?
  6. Joined
    25 Aug '06
    Moves
    0
    06 Jun '08 02:09
    Originally posted by Dejection
    David, seeing as you seemed to have solved my question, why don't you try 9 in row on an infinite board, diagonals counted?
    Hint: pairing strategy
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