TY - JOUR T1 - On the Asymmetry for Convex Domains of Constant Width AU - Jin , Hailin AU - Guo , Qi JO - Communications in Mathematical Research VL - 2 SP - 176 EP - 182 PY - 2021 DA - 2021/05 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19171.html KW - asymmetry measure, reuleaux polygon, constant width. AB -
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.