I read, briefly, about a connection between Ramsey's Theory and Tic-Tac-Toe.
From my understanding, it went like this:
Imagine playing Tic-Tac-Toe in a k-dimensional hyper-cube. There is such a dimension k where, regardless of cheating and foul-play, the game must end with a winner.
I want to know if this is correct, where $k$ is the solution to Ramsey's Theory. Are there any other interesting analogies that, say the average high-schooler, would understand?