Hex game theory is a branch of mathematics that revolves around analyzing and understanding the strategic aspects of playing the hexagon game. It explores various properties of the game’s geometrical structure, such as connectivity and winning strategies. Hex has been studied extensively within combinatorial game theory, providing insights into optimal play, finding winning tactics, and evaluating endgame scenarios through mathematical analysis. Theorems and algorithms derived from hex game theory contribute to understanding other complex systems beyond just the context of this specific board game.