一般常宽多边形的构造  

Construction of General Constant Width Polygons

作　　者：段博韬 DUAN Botao(School of Mathematical Sciences,Huaibei Normal University,235000,Huaibei,Anhui,China)

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《淮北师范大学学报（自然科学版）》2021年第1期18-22,共5页Journal of Huaibei Normal University：Natural Sciences

基　　金：安徽省自然科学基金项目(1908085MA05);安徽省高校自然科学研究项目(KJ2019A0590)。

摘　　要：对一般常宽多边形的构造,文章提出一类由圆弧构成的平面图形的作图法,证明这类图形在闭合条件下具有常宽性质,利用线性不等式组求出闭合条件下的全体可行点.通过构造出具体的常宽多边形,表明文章提出的构造方法是可行的.For the construction of general constant width polygons,this paper proposes a method of graphing plane figures composed of circular arcs.It is proved that such figures have the property of constant width un⁃der closed condition.The linear inequality group is used to find all feasible points under closed condition.By constructing concrete constant width polygons,the method is proved to be feasible.

关 键 词：作图法 闭合条件 可行点 常宽多边形 

分 类 号：O174.13[理学—数学]