n-gon centers and central lines

2022/04/15 by Puiggalí, Marta Farré, Prieto-Martínez, Luis Felipe
#51M04 #51M15 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2204.08342

Abstract

In this paper we provide a review of the concept of center of a n-gon, generalizing the original idea given by C. Kimberling for triangles. We also generalize the concept of central line for n-gons for n≥ 3 and establish its basic properties.

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