Simple polygon
Shape bounded by non-intersecting line segments
Simple polygon
In geometry, a simple polygon is a polygon that does not intersect itself and has no holes. That is, it is a piecewise-linear Jordan curve consisting of finitely many line segments. These polygons include as special cases the convex polygons, star-shaped polygons, and monotone polygons. The sum of external angles of a simple polygon is 2 π {\displaystyle 2\pi } . Every simple polygon with n {\displaystyle n} sides can be triangulated by n − 3 {\displaystyle n-3} of its diagonals, and by the art gallery theorem its interior is visible from some ⌊ n / 3 ⌋ {\displaystyle \lfloor n/3\rfloor } of its vertices. Simple polygons are commonly seen as the input to computational geometry problems, including point in polygon testing, area computation,...
Read on Wikipedia · Image Original: Jacob Rus, plotted with Desmos https://www.desmos.com/geometry-beta/6xlyswuljp Vector: A2569875, CC BY-SA 4.0
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