Resumen de The Jagged Boundary-Edge Problem

Antonio R. Quesada, Andrew Cooper, Laurie Dunlap

• Suppose that a plot of land bounded between two parallel lines is separed into two subregions by a jagged-edge (polygonal arc). We answer the following question: Can we find a line segment of minimal length (whose endpoints are a function of the polygonal arc´s vertices), with one endpoint on each of the parallel lines, that separates the land into two subregions that have the same areas as the original subregions? We show the existence of a point, which is determined geometrically and algebraically via recursion, so that any segment between the boundaries that passes through this point, is a solution.