4
$\begingroup$

What are the symmetries of the tic tac toe board game? Ie, what are the ways you can rotate, reflect, and/or flip the tic tac toe board, such that the next best move to a board(after it was rotated, reflected, etc) is still the next best move after the board was rotated/reflected/fipped? How would i also construct a group multiplication table for these symmetries?

Thank You!

  • 3
    Please show some work.2011-10-17

3 Answers 3