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GEODESICS OF HIGHER-DIMENSIONAL SIERPINSKI GASKET

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It is of great interest to analyze geodesics in fractals. We investigate the structure of geodesics in [Formula: see text]-dimensional Sierpinski gasket [Formula: see text] for [Formula: see text], and… Click to show full abstract

It is of great interest to analyze geodesics in fractals. We investigate the structure of geodesics in [Formula: see text]-dimensional Sierpinski gasket [Formula: see text] for [Formula: see text], and prove that there are at most eight geodesics between any pair of points in [Formula: see text]. Moreover, we obtain that there exists a unique geodesic for almost every pair of points in [Formula: see text].

Keywords: dimensional sierpinski; see text; sierpinski gasket; formula see

Journal Title: Fractals
Year Published: 2019

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