ON THE FRACTAL DIMENSION OF A FRACTAL SURFACE WITH ONE SINGLE UNBOUNDED VARIATION POINT

J. R. Guo () and Y. S. Liang
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J. R. Guo: School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China
Y. S. Liang: School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 06, 1-7

Abstract: In this paper, a surface with fractal characteristics on the basis of a continuous function has been constructed. We conducted a study on the Box dimension and the Hausdorff dimension of this surface, building upon this foundation. We found that there exists a certain relationship between the dimensionality of the surface with fractal characteristics, which is obtained from the rotation of a fractal curve.

Keywords: The Fractal Surface; The Box Dimension; The Hausdorff Dimension (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24501044

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