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Volume 26, Issue 2
On the Asymmetry for Convex Domains of Constant Width

Hailin Jin & Qi Guo

Commun. Math. Res., 26 (2010), pp. 176-182.

Published online: 2021-05

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  • 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.

  • Keywords

asymmetry measure, reuleaux polygon, constant width.

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@Article{CMR-26-176, author = {Hailin and Jin and and 18238 and and Hailin Jin and Qi and Guo and and 18239 and and Qi Guo}, title = {On the Asymmetry for Convex Domains of Constant Width}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {26}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19171.html} }
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.

HailinJin & QiGuo. (2021). On the Asymmetry for Convex Domains of Constant Width. Communications in Mathematical Research . 26 (2). 176-182. doi:
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