Gomoku
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Gomoku is an extended version of Tic-Tac-Toe, played on an infinite board (approximated by a 21 by 21 board in this version) where the winner is the first player to get 5 in a row, orthogonally or diagonally. You get to go first, and an red sphere marks your squares. The computer plays the magenta spheres, and is remorseless and unrelenting. Move the mouse with the pressed button for rotation of a board. It is possible to do courses and on the revolved board. Since this is a Java applet, you need a Java-enabled browser to make this work. Good luck!

One more thing: it has been proven that the player who moves second can always win, if he or she plays perfectly. At the Expert level, the TacTix program will indeed play a perfect game. So if you want to win at the Expert level, you must let the computer move first!