Treblecross

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. ^ Nowakowski, Richard J. (2015-04-16). Games of No Chance 4. Cambridge University Press. ISBN 9781107011038.
  3. ^ a b Ma, Wei Ji. "Generalized Tic-tac-toe". www.weijima.com. Retrieved 2016-12-17.
  4. ^ a b Mendelson, Elliott (2004-07-03). Introducing Game Theory and its Applications. CRC Press. ISBN 9781584883005.
  5. ^ Berlekamp, Elwyn R.; Conway, John Horton; Guy, Richard K. (1982-01-01). Winning Ways, for Your Mathematical Plays: Games in general. Academic Press. ISBN 9780120911509. Treblecross game.
  6. ^ "Combinatorial Game Theory IV". simomaths. August 6, 2012. Retrieved December 17, 2016.
  7. ^ "Treblecross" (PDF). Retrieved March 17, 2017.