Kites as the only doubly special simplices
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 56 Số 1 - Trang 269-277 - 2015
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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