Treblecross

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A completed game of Treblecross

Treblecross is a degenerate tic-tac toe variant.[1] The game is an octal game,[2][3] played on a one-dimensional board and both players play using the same piece (an X or a black chip[4]).[5][1][3] Each player on their turn plays a piece in an unoccupied space. The game is won if a player on their turn makes a line of three pieces (Xs or black chips) in a row.[1][4][6]

Gameplay

The game begins with all the 1×n spaces empty. Each player plays an X on the one-dimensional board in an empty cell. The game is won when a player makes a row of three Xs.[7]

See also

  • nd game – Generalization of the game Tic-tac-toe to higher dimensions

References

  1. ^ a b c "Game Theory and Algorithms Lecture 19: Nim & Impartial Combinatorial Games" (PDF). May 17, 2011. Retrieved December 17, 2016.
  2. .
  3. ^ a b Ma, Wei Ji. "Generalized Tic-tac-toe". www.weijima.com. Retrieved 2016-12-17.
  4. ^ .
  5. . Treblecross game.
  6. ^ "Combinatorial Game Theory IV". simomaths. August 6, 2012. Retrieved December 17, 2016.
  7. ^ "Treblecross" (PDF). Retrieved March 17, 2017.