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MEAN GEODESIC DISTANCE OF n-LEVEL SIERPINSKI CARPET

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We investigate the [Formula: see text]-level Sierpinski carpets including the classical one for [Formula: see text], which are non-p.c.f. self-similar fractals. By using the finitely, many geometric patterns and the… Click to show full abstract

We investigate the [Formula: see text]-level Sierpinski carpets including the classical one for [Formula: see text], 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 [Formula: see text]-level Sierpinski carpets and their skeleton networks.

Keywords: mean geodesic; geodesic distance; level; formula see; level sierpinski

Journal Title: Fractals
Year Published: 2021

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