3 6 9

Copyright (c) 1995 Paul Townsend

This game is played on an empty 9x9 square board (there are 81 stones of just one color)

 
  • TURNS - At each turn, each player drop a stone at an empty cell.
    • For every 3 stones in any line (orthogonal or diagonal) the player gets 1 point;
    • For every 6 stones in any line (orthogonal or diagonal) the player gets 2 points;
    • For every 9 stones in any line (orthogonal or diagonal) the player gets 3 points;
  • GOAL - When the board is full, the game ends. The player with the higher score wins.

You can play a simpler game on a 6x6 board (where it is only possible to gain 1 or 2 points, of course).

An example

If the next player plays at [1] he will get 2 points (for making two lines with exactly 3 stones, a vertical and a diagonal one). He also made a line with 4 stones, which does not earn him any point.

If he plays at [2], he will get 3 points, 2 for the horizontal line of 6 stones, and 1 for the vertical line with 3 stones.

There is at least another cell which results in three points. Can you find it?

Solution: (select the next text): e5

Paul has written a program to play 3-6-9.