The art gallery problem or museum problem is a well-studied visibility problem in computational geometry.

Given the layout of a museum, what is the minimum number of guards needed to guard every point in the museum? This problem, often called the Art Gallery ...

May 16, 2018 · The art gallery problem is formulated in geometry as the minimum number of guards that need to be placed in an n-vertex simple polygon such that ...

Aug 20, 2018 · In the Art Gallery Problem, we have given a polygon P on n vertices and a number k and we want to know if there exists k guards such that every ...

Feb 4, 2017 · I am wondering how to show that a polygon P, in the plane such that at most two angles of P exceed 180, then P can be guarded by two guards.

Missing: Two- | Show results with:Two-

Jun 14, 2014 · Fisk's clever argument shows that to guard a gallery with the shape of a simple polygon with n vertices you never need more than n/3 guards.

Jul 5, 2019 · Yes. If you can see an edge, you can see its endpoints so if you can see all edges you can see the entire polygon.

The art gallery problem is known as a visibility problem, as it concerns what the gallery guards are able to see. A guard is able to guard, or “cover,” any ...

Duration: 4:24
Posted: Jun 4, 2021