$n$-gon centers and central lines
Marta Farr\'e Puiggal\'i, Luis Felipe Prieto-Mart\'inez

TL;DR
This paper reviews and generalizes the concepts of centers and central lines from triangles to n-gons, establishing their basic properties.
Contribution
It introduces a generalized framework for centers and central lines in n-gons, extending Kimberling's triangle concepts to polygons with n ≥ 3.
Findings
Generalization of triangle centers to n-gons
Introduction of central lines for n-gons
Basic properties of these generalized concepts
Abstract
In this paper we provide a review of the concept of center of a -gon, generalizing the original idea given by C. Kimberling for triangles. We also generalize the concept of central line for -gons for and establish its basic properties.
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Taxonomy
TopicsMathematics and Applications · graph theory and CDMA systems · Advanced Topics in Algebra
