Kites as the only doubly special simplices

被引：1
|
作者：
Hajja M. [1 ]
Hammoudeh I. [2 ]
Hayajneh M. [3 ]
机构：
[1] Department of Mathematics, Yarmouk University, Irbid
[2] Amman Ahliyya University, Sarw
[3] Louisiana State University, Baton Rouge, 70803, LA
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2015年 / 56卷 / 1期
关键词：
Circumscriptible simplex; Isodynamic simplex; Isogonic simplex; Kite; Orthocentric simplex; Quadratic form; Special simplex; Tetra-isogonic simplex;
D O I：
10.1007/s13366-014-0204-8
中图分类号：
学科分类号：
摘要：
In this paper, the families of orthocentric, circumscriptible, isodynamic, and isogonic (or rather, tetra-isogonic) d-simplices, d ≥3, are considered, and it is proved that the intersection of any two of them is precisely the family of d-kites. Here, a d-simplex is called a d-kite if d of its vertices form a regular (d-1)-simplex whose vertices are equidistant from the remaining vertex. © 2014, The Managing Editors.
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收藏
页码：269 / 277
页数：8
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