Deforming star-shaped polygons in the plane |
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Authors: | Chung-Wu Ho |
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Affiliation: | (1) Department of Mathematics, Statistics and Computer Science, Southern Illinois University at Edwardsville, 62026 Edwardsville, Illinois, USA |
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Abstract: | Given a star-shaped polygon in the euclidean plane and a vertex v of the polygon, the author characterizes all those points w in the plane such that when the vertex v moves to w along a straight line path, while all other vertices of the polygon are fixed, the polygon remains star-shaped. An example is given to show that this characterization fails for the star-shaped polyhedral spheres in the 3-dimensional euclidean space. |
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