The circumradius of planar reduced convex bodies

被引：0
|
作者：
Chen, Qiuyue [1 ]
Chen, Bing [1 ]
Jin, Hailin [1 ]
机构：
[1] Suzhou Univ Sci & Technol, Dept Math, Suzhou 215009, Peoples R China
来源：
JOURNAL OF GEOMETRY | 2023年 / 114卷 / 01期
关键词：
Reduced convex body; Reduced convex polygon; Reuleaux polygon; Circumradius;
D O I：
10.1007/s00022-023-00667-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the circumradius of reduced convex polygons and Reuleaux polygons. We prove that from amongst all reduced convex n-gons of a fixed thickness, only the regular n-gon has the minimal circumradius. For Reuleaux polygons, we show that from amongst all n-th Reuleaux polygons, only the regular n-th Reuleaux polygon has the minimal circumradius.
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