Saturday, March 3, 2018


Tic-tac-toe (also known as noughts and crosses or Xs and Os) is a paper-and-pencil game for two players, X and O, who take turns marking the spaces in a 3×3 grid. The player who succeeds in placing three of their marks in a horizontal, vertical, or diagonal row wins the game.
The following example game is won by the first player, X:
3x's=6,6,6.................3o's=6,6,6............24x3=72...15x3=45=117..thirteen=117,45,90,99...18+18=36..666=36th triangular#
 horizontal=57, vertical=36,90, or diagonal=36,45 

English names[edit]

The game has a number of English names.

naughts and crosses =99
Noughts and crosses=221(17x13)
Tick-tack-toe=179/41st prime/13th prime
a tie is called a "cats game"=33,147
. A combinatorics=141,60,69,210 study of the game shows that when "X" makes the first move every time, the game is won as follows:[13]
  • 91/13th triangular# distinct positions are won by (X)

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