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The Art Gallery Problem

Mathematical approach on visibility in gallery spaces - the best and efficient places within a space for maximum visibility of guards and cameras - via Wikipedia:

The art gallery problem or museum problem is a well-studied visibility problem in computational geometry. It originates from a real-world problem of guarding an art gallery with the minimum number of guards who together can observe the whole gallery. In the computational geometry version of the problem the layout of the art gallery is represented by a simple polygon and each guard is represented by a point in the polygon.

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