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On a measure of asymmetry for Reuleaux polygons - MaRDI portal

On a measure of asymmetry for Reuleaux polygons (Q434319)

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scientific article; zbMATH DE number 6054117
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On a measure of asymmetry for Reuleaux polygons
scientific article; zbMATH DE number 6054117

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    On a measure of asymmetry for Reuleaux polygons (English)
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    10 July 2012
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    The main result of this paper is the following theorem. If \(n \geq 3\) is odd, then \({\text{{as}}_\infty(RP_n)} \geq {\text{{as}}_\infty(R_n)}\), where \(RP_n (R_n)\) denotes the class of (regular) Reuleaux polygons of order \(n\) and \({\text{{as}}_\infty(\cdot)}\) denotes the Minkowski measure of asymmetry for convex bodies.
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    asymmetry measures
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    constant width
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    Reuleaux polygons
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