Art Gallery Theorem

The Art Gallery Theorem states that in a simple polygon (a shape with straight sides and no holes), you can place security guards in such a way that they can see every point inside the shape. Specifically, if the polygon has "n" vertices, you can cover the area with guards stationed at no more than ⌊n/3⌋ locations. This idea finds applications in fields like computer graphics, robotics, and surveillance, highlighting how to efficiently monitor spaces using a limited number of resources.