Q. H. Tran, B. Herrera, “<nobr>$n$</nobr>-Dimensional Generalizations of a Thébault Conjecture”, Mat. Zametki, 2024, Volume 115, Issue 4,Pages <nobr>618

Papers published in the English version of the journal

$n$-Dimensional Generalizations of a Thébault Conjecture

Q. H. Tran^a, B. Herrera^b

^a High School for Gifted Students, Hanoi University of Science, Vietnam National University at Hanoi, Vietnam
^b Department of Computer Engineering and Mathematics, Rovira i Virgili University, Tarragona, Spain

Abstract: This paper presents some generalizations of a Thébault conjecture, provides an analogy of the Thébault conjecture for the $n$-simplex, and also solves a conjecture in a 2022 paper by the authors by using linear algebra.

Keywords: Thébault's conjecture, $n$-simplex, Monge point, $n$-dimensional Euclidean space.

Received: 22.05.2023
Revised: 17.02.2024

Language: English