On Star Product Fractal Surfaces and Their Dimensions

Xie Heping; Feng Zhigang; Chen Zhida

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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.

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.

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On Star Product Fractal Surfaces and Their Dimensions

1.
Institute of Rock Mechanics &hractals, China University of Mining and Technology, Beijing 100083, P. R. China;
2.
Department of Mathematics, Zhenjiang Teacher's College, Zhenjiang 212003, P. R. China;
3.
Department of hundamental Science, China University of Mining and Technology, Beijing 100083, P. R. China

Received Date: 1999-07-09
Publish Date: 1999-11-15

Abstract

Abstract

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.
- dimension,
- fractal curve,
- fractal surface,
- SPFS

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References(7)

References

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