ON PYRAMIDS AND REDUCEDNESS

被引：3

作者：

Averkov, Gennadiy ^{[1
]}

Martini, Horst ^{[2
]}

机构：

[1] Univ Magdeburg, Fac Math, D-39106 Magdeburg, Germany

[2] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany

来源：

PERIODICA MATHEMATICA HUNGARICA | 2008年 / 57卷 / 02期

关键词：

geometric inequality; pyramid; minimum width; reduced body; thickness;

D O I：

10.1007/s10998-008-8117-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A convex body K in R-d is said to be reduced if the minimum width of each convex body properly contained in K is strictly smaller than the minimum width of K. We study the question of Lassak on the existence of reduced polytopes of dimension larger than two. We show that a pyramid of dimension larger than two with equal numbers of facets and vertices is not reduced. This generalizes the main result from [8].

引用

页码：117 / 120

页数：4

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[10]

[No title captured]

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