Source: wikibot/art-gallery-theorems-and-algorithms
= Art Gallery Theorems and Algorithms
{wiki=Art_Gallery_Theorems_and_Algorithms}
The Art Gallery Theorem is a result in computational geometry that addresses the problem of determining how many guards are needed to observe an art gallery (which can be represented as a polygon). The theorem states that for any simple polygon with \\( n \\) vertices, at most \\( \\left\\lfloor \\frac\{n\}\{3\} \\right\\rfloor \\) guards are sufficient to cover the entire area of the polygon.