Art Gallery Problem

The Art Gallery Problem is a question in computational geometry that explores how to effectively monitor an art gallery with a given number of security cameras. Imagine an art gallery shaped like a polygon, where walls can create various angles and spaces. The problem asks: how many cameras are needed, and where should they be placed, so every part of the gallery is visible from at least one camera? It helps in understanding visibility and coverage in complex environments and has applications in robotics, surveillance, and architecture. The solution often involves mathematical theories and algorithms to optimize coverage.