The Angel Problem

The Angel Problem is a theoretical challenge in mathematics and game theory involving two players on an infinite grid. One player controls the "angel," which can move a limited number of steps (like 1 or 2), while the other controls the "demon," which can place or remove squares to trap the angel. The question is whether the angel can indefinitely evade the demon’s traps with its limited moves or if the demon can eventually corral it. This problem explores ideas about movement constraints, strategy, and infinite processes, and remains an open question with significant implications for understanding infinite combinatorial games.