# What Is The Mathematics Behind Tic-Tac-Toe?

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by January 17, 2020

Tic-tac-toe is a popular game which is being played by people of all ages for decades. Be it at school or at home, tic-tac-toe allows you spend a quick and fun time with someone. The game can be dated a long time back in history and evidences show that the game did exist during the Roman Civilization as well. However, it was named differently during that period. It takes a bit of intelligence and clever thinking in order to win a match of tic-tac-toe. However, did you know that there is a very interesting mathematics behind the game of tic-tac-toe. Let us take a look at it in this blog and meanwhile you can visit https://papergames.io/en/tic-tac-toe to play it.

Mathematics Related To Tic-tac-toe

Tic-tac-toe is a very interesting and fun game to play, no doubt about that. But if you are aware of the Mathematics that is related to the game, then it becomes much more easier to win it.

Symmetry – if you check it carefully, you will see that there are not 9 but 3 distinct moves you can make in the opening. For instance, if the principal player puts a X in the inside, what number of unmistakable (up to comparability) moves does the O player have for their best course of action? Consider the possibility that the opening move had been shifted to a corner.

Topology – just like you can see that in Pac-Man, you emerge from the opposite side when you run off from the other side. The game is 2-dimensional just like Tic-tac-toe. In the game, there are three patterns of winning – row, column, and diagonal. When you shift a row, it gives the same or different row and then there are not much of new winning patterns. The same is for columns and while shifting the diagonal, it gives a new pattern altogether. Now, if you shift two diagonal patterns in any four directions, then one or at times two squares will yield 4 patterns.

So, these are some important Mathematics that are related to the game of tic-tac-toe. Make sure to check them out while playing the game and you will be surprised to check how you can change your game play by following these mechanisms of the game altogether. Visit https://papergames.io/en/tic-tac-toe and play tic-tac-toe with your friends for a fun time.