Complex Analysis
A simple polygon is a flat shape formed by a finite number of straight line segments that are connected end-to-end, with the requirement that the shape does not intersect itself. This concept is important in various applications, including computer graphics and computational geometry, where simple polygons serve as foundational elements for more complex shapes. The properties of simple polygons allow for the application of transformations like the Schwarz-Christoffel transformation, which maps these shapes to the complex plane in a straightforward manner.
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