Game 1: Tic-Tac-Toe

Tic-Tac-Toe on a 4×4 Grid

Now let’s change the rule of Tic-Tac-Toe. An easy change is to play on a 4 x 4 grid. Give it a try on the Google Sheet.

Question: How many winning 3-in-a-rows are there now? Can you find the winning strategy? (Can you see the step prior to winning the game?)

Let’s use the 4 x 4 board but change the rule to 4-in-a-row to win.

Question: Now, how many 4-in-a-row winning positions are there?

Question: Do you think there is a strategy to always win this game?

You can find the answer in this Wikipedia entry where requiring 4-in-a-row on a 4 x 4 grid is known as the (4,4,4) game.