Isogonal conjugation in isosceles tetrahedron

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Authors: Saro Harutyunyan
Cited by: 0

Abstract

In this article we investigate the properties of isogonal conjugation in isosceles tetrahedron. Particularly we reveal three hyperbolic paraboloids each of which is formed by pairs of isogonal conjugate points symmetric in the respective bimedian, as well as we prove that the circumsphere of an isosceles tetrahedron is invariant under isogonal conjugation in that tetrahedron.

Fields of Study & Subjects

Mathematics and Applications Advanced Combinatorial Mathematics Point processes and geometric inequalities

Publication details

Journal / source
arXiv (Cornell University)
Publication date
29 January 2026
Document type
Preprint