Stage: 3 Challenge Level: 
| In the game of Tic Tac Toe (i.e. noughts and
crosses) there are 8 distinct winning lines.
Investigate how many distinct winning lines there are in a game played on a 3 by 3 by 3 board, with 27 cells. A winning line connects 3 cells. |
 |
Interactivities. smartphone. Cubes. Working systematically. Generalising. Games. Squares. Visualising. Mathematical reasoning & proof. Creating expressions/formulae.
Published November 1997.
Copyright © 2007. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project, which also includes the Plus and Motivate sites.
email: nrich@damtp.cam.ac.uk