Mean Geodesic Distance Of N-Level Sierpinski Carpet

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY（2021）

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Abstract

We investigate the n-level Sierpinski carpets including the classical one for n = 3, which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the self-similar measure, we obtain the mean geodesic distance on the n-level Sierpinski carpets and their skeleton networks.

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Key words

Fractal Network, Non-PCF Fractal, Mean Geodesic Distance

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