Simplices with congruent k-faces

被引：0
|
作者：
Horst Martini
Walter Wenzel
机构：
[1] University of Technology Chemnitz,Faculty of Mathematics
来源：
Journal of Geometry | 2003年 / 77卷 / 1-2期
关键词：
52B15; 05A15; 05B05; 51E05; 52B12; Congruence; faces of simplices; (regular) simplices;
D O I：
10.1007/s00022-003-1643-9
中图分类号：
学科分类号：
摘要：
Let S be a non-degenerate simplex in $\mathbb{R}^{2}$. We prove that S is regular if, for some k $\in$ {1,...,n-2}, all its k-dimensional faces are congruent. On the other hand, there are non-regular simplices with the property that all their (n1)-dimensional faces are congruent.
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页码：136 / 139
页数：3
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