Tetrahedra are not reduced

被引：8
作者：
Martini, H [1 ]
Wenzel, W [1 ]
机构：
[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany
来源：
APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 07期
关键词：
body of constant width; complete set; equifacial tetrahedron; reduced body;
D O I：
10.1016/S0893-9659(02)00057-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A convex body which does not properly contain a convex body with the same minimal width is said to be reduced. It is not known whether there exist reduced n-polytopes, n greater than or equal to 3. We prove that there is no reduced tetrahedron. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：881 / 884
页数：4
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