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词条 Treblecross
释义

  1. Gameplay

  2. References

{{technical|date=December 2016}}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 creates 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 creates a row of 3 Xs.[7]

References

1. ^{{Cite web|url=http://ints.io/daveagp/gta/lecture19.pdf|title=Game Theory and Algorithms Lecture 19: Nim & Impartial Combinatorial Games|last=|first=|date=May 17, 2011|website=|publisher=|access-date=December 17, 2016}}
2. ^{{Cite book|url=https://books.google.com/books?id=lM13CgAAQBAJ&pg=PA281&dq=treblecross+tic-tac-toe&hl=en&sa=X&ved=0ahUKEwiKtujVxfvQAhXKjVQKHfNIAYgQ6AEISTAE#v=onepage&q=treblecross%20tic-tac-toe&f=false|title=Games of No Chance 4|last=Nowakowski|first=Richard J.|date=2015-04-16|publisher=Cambridge University Press|isbn=9781107011038|language=en}}
3. ^{{Cite web|url=http://www.weijima.com/index.php?option=com_content&view=article&id=11|title=Generalized Tic-tac-toe|last=Ma|first=Wei Ji|website=www.weijima.com|access-date=2016-12-17}}
4. ^{{Cite book|url=https://books.google.com/books?id=85xHHwTd1qMC&pg=PA258&dq=treblecross+tic+tac+toe+game&hl=en&sa=X&ved=0ahUKEwjRmsHToOvQAhWJr1QKHc1TDkkQ6AEIUzAG#v=onepage&q=treblecross%20tic%20tac%20toe%20game&f=false|title=Introducing Game Theory and its Applications|last=Mendelson|first=Elliott|date=2004-07-03|publisher=CRC Press|isbn=9781584883005|language=en}}
5. ^{{Cite book|url=https://books.google.com/books?id=2PbuAAAAMAAJ&q=Treblecross+game&dq=Treblecross+game&hl=en&sa=X&ved=0ahUKEwigsOHogqnSAhUS12MKHQzwAv8Q6AEIJjAC|title=Winning Ways, for Your Mathematical Plays: Games in general|last=Berlekamp|first=Elwyn R.|last2=Conway|first2=John Horton|last3=Guy|first3=Richard K.|date=1982-01-01|publisher=Academic Press|isbn=9780120911509|language=en}}
6. ^{{Cite web|url=https://simomaths.wordpress.com/2012/08/06/combinatorial-game-theory-iv/|title=Combinatorial Game Theory IV|last=|first=|date=August 6, 2012|publisher=simomaths|access-date=December 17, 2016}}
7. ^{{Cite web|url=https://uva.onlinejudge.org/external/105/10561.pdf|title=Treblecross|last=|first=|date=|website=|archive-url=|archive-date=|dead-url=|access-date=March 17, 2017}}
{{Tic-Tac-Toe}}

1 : Tic-tac-toe variants

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