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GEODESICS IN THE SIERPINSKI CARPET AND MENGER SPONGE

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In this paper, we study geodesics in the Sierpinski carpet and Menger sponge, as well as in a family of fractals that naturally generalize the carpet and sponge to higher… Click to show full abstract

In this paper, we study geodesics in the Sierpinski carpet and Menger sponge, as well as in a family of fractals that naturally generalize the carpet and sponge to higher dimensions. In all dimensi...

Keywords: sponge; menger sponge; carpet; sierpinski carpet; carpet menger; geodesics sierpinski

Journal Title: Fractals
Year Published: 2020

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