Kaplansky's game

Kaplansky's game or Kaplansky's n-in-a-line is an abstract board game in which two players take turns in placing a stone of their color on an infinite lattice board, the winner being the player who first gets unmarked n stones of their own color in a row, horizontally, vertically, or diagonally.[1][2][3][4] It is named after Irving Kaplansky.

General results

See also

References

  1. Beck, József (1982). "On a generalization of Kaplansky's game". Discrete Mathematics. 42 (1): 27–35. doi:10.1016/0012-365X(82)90050-4.
  2. Beck, József (2008). "Combinatorial Games: Tic-Tac-Toe Theory". Combinatorial Games: Tic-Tac-Toe Theory. Cambridge University Press. p. 64. ISBN 9780521461009.
  3. Kleitman, D.J.; Rothschild, B.L. (1972). "A generalization of Kaplansky's game". Discrete Mathematics. 22 (2): 173–178. doi:10.1016/0012-365X(72)90082-9.
  4. András, Pluhár (2004). "The Recycled Kaplansky's Game". Acta Cybernetica. 16.
This article is issued from Wikipedia - version of the 10/30/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.