Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.
Citation:
Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.
Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.
Citation:
Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.
In this paper, by using fractal curves, a family of fractal surfaces are defined. Each fractal surface of this family is called Star Product Fractal Surface (SPFS). A theorem of the dimensions of the SPFS is strictly proved. The relationship between the dimensions of the SPFS and the dimensions of the fractal curves constructing the SPFS is obtained.
Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.
Xie Heping, Feng Zhigang, Chen Zhida. On Star Product Fractal Surfaces and Their Dimensions[J]. Applied Mathematics and Mechanics, 1999, 20(11): 1101-1106.