Year: 2010
Author: Hailin Jin, Qi Guo
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 176–182
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 $\boldsymbol{R}^2$ are Reuleaux triangles.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19171
Communications in Mathematical Research , Vol. 26 (2010), Iss. 2 : pp. 176–182
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: asymmetry measure reuleaux polygon constant width.