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On the Asymmetry for Convex Domains of Constant Width
Authors:Jin Hai-lin  Guo Qi
Institution:Jin Hai-lin and Guo Qi(Department of Mathematics,Suzhou University of Technology and Science,Suzhou,Jiangsu,215009) Yin Jing-xue
Abstract:The extremal convex bodies of constant width for the Minkowski measure of asymmetry are discussed. A result, similar to that of H. Groemer's and of H. Lu's, is obtained, which states that, for the Minkowski measure of asymmetry, the most asymmetric convex domains of constant width in R2 are Reuleaux triangles.
Keywords:asymmetry measure  reuleaux polygon  constant width
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