Tick Tack Toe #9

Logic Level 1

In a \(3 \times 3 \times 3\) tic-tac-toe game, a winning line can go through each layer of the three boards (in addition to the standard winning lines in any 2D plane of a single board). Two players play on this 3-layer board with normal tic-tac-toe rules.

Is it possible to tie in this version of tic-tac-toe?

It is \(\color{red}\text{X}\)'s turn.  \(\color{red}\text{X}\) can win by filling in the Top NW space.  The winning line will go through Top NW, Middle Center, and Bottom SE.

It is \(\color{red}\text{X}\)'s turn. \(\color{red}\text{X}\) can win by filling in the Top NW space. The winning line will go through Top NW, Middle Center, and Bottom SE.

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