This a solution implementation to well-known art gallery problem using polygon triangulation and 3-coloring methods. As in my computational-graphics course, i was requested to implement a solution program to art galley problem stated above. So using

If an interpolating curve follows very closely to the data polygon, the length of the curve segment between two adjacent data points would be very close to the length of the chord of these two data points, and the length of the interpolating curve wo