Circumscribed Polygons of Small Area |
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Authors: | Dan Ismailescu |
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Affiliation: | (1) Hofstra University, Hempstead, NY 11549-1000, USA |
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Abstract: | Given any plane strictly convex region K and any positive integer n≥3, there exists an inscribed 2n-gon Q 2n and a circumscribed n-gon P n such that The inequality is the best possible, as can be easily seen by letting K be an ellipse. As a corollary, it follows that for any convex region K and any n≥3, there exists a circumscribed n-gon P n such that This improves the existing bounds for 5≤n≤11. |
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Keywords: | Convex regions Circumscribed polygons |
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