On the Asymmetry for Convex Domains of Constant Width
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@Article{CMR-26-176,
author = {Jin , Hailin and Guo , Qi},
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.
Jin , Hailin and Guo , Qi. (2021). On the Asymmetry for Convex Domains of Constant Width.
Communications in Mathematical Research . 26 (2).
176-182.
doi:
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