Kites as the only doubly special simplices

Hajja, Mowaffaq1, Hammoudeh, Ismail2, Hayajneh, Mostafa3
1Department of Mathematics, Yarmouk University, Irbid, Jordan
2Faculty of Information Technology, Amman Ahliyya University, Sarw, Jordan
3Faculty of Mathematics, Louisiana State University, Baton Rouge, USA

Tóm tắt

In this paper, the families of orthocentric, circumscriptible, isodynamic, and isogonic (or rather, tetra-isogonic) $$d$$ -simplices, $$d \ge 3$$ , 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.

Tài liệu tham khảo

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