AVERAGE FERMAT DISTANCE OF A SELF-SIMILAR FRACTAL TREE

Ying Ma (), Chen Chen () and Lifeng Xi
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Ying Ma: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Chen Chen: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China
Lifeng Xi: School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 04, 1-10

Abstract: The point within a triangle that meets the minimum sum of the distances to the three vertices is called the Fermat point. The aim of this paper is to obtain the Fermat average distance on a self-similar fractal tree in terms of the self-similar measure and the technique of finite pattern.

Keywords: Fractal; Self-Similar Fractal; Average Fermat Distance; Finite Pattern (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500761

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