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On The Fractal Dimension Of A Fractal Surface With One Single Unbounded Variation Point

Author

Listed:
  • 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)

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.

Suggested Citation

  • J. R. Guo & Y. S. Liang, 2024. "On The Fractal Dimension Of A Fractal Surface With One Single Unbounded Variation Point," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-7.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:06:n:s0218348x24501044
    DOI: 10.1142/S0218348X24501044
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