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Full-Text Articles in Algebraic Geometry
Length-Preserving Transformations On Polygons, Brad Ballinger
Length-Preserving Transformations On Polygons, Brad Ballinger
Brad Ballinger
Given a polygon in the plane, we may sele t two of its verti es A and B as ut points, thereby splitting the polygon into two hains. We transform one of the hains by (1) re e ting it a ross ! AB or (2) rotating it 180 degrees about the midpoint of AB, and reassemble the two hains into a polygon. If A and B are hosen on a supporting line of the onvex hull of P , we all (1) a ip and (2) a ipturn. If A and B are instead hosen to have a ommon …