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

被引：0
|
作者：
Guo, J. R. [1 ]
Liang, Y. S. [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Math & Stat, Nanjing 210094, Peoples R China
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2024年
基金：
中国国家自然科学基金;
关键词：
The Fractal Surface; The Box Dimension; The Hausdorff Dimension; GRAPHS;
D O I：
10.1142/S0218348X24501044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：7
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