AVERAGE FERMAT DISTANCE OF A 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), 2021, vol. 29, issue 07, 1-7

Abstract: The Fermat problem of triangle is interesting in plane geometry. Considering the Fermat problem within a fractal, we study the average Fermat distance of three random points on a self-similar tree by using the method of finite pattern.

Keywords: Fractal; Self-Similar Fractal; Average Fermat Distance; Finite Pattern (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21502121

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DOI: 10.1142/S0218348X21502121

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