Properties of Axial Diameters of a Simplex

被引：9

作者：

Nevskii, Mikhail ^{[1
]}

机构：

[1] Yaroslavl State Univ, Dept Math, Yaroslavl 150000, Russia

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2011年 / 46卷 / 02期

关键词：

n-dimensional simplex; n-dimensional cube; Translate; Ratio of homothety; Axial diameter;

D O I：

10.1007/s00454-011-9355-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let S be a nondegenerate simplex in R(n). It is proved that the minimal possible sigma > 0, such that a homothetic copy of S of ratio sigma contains [0,1](n), is equal to Sigma(n)(i=1) 1/d(i)(S). Here d(i)(S) denotes the length of a longest segment in S parallel to the ith coordinate axis.

引用

页码：301 / 312

页数：12

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