Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1183-1189.

• Articles •     Next Articles

ON STAR PRODUCT FRACTAL SURFACES AND THEIR DIMENSIONS

Xie Heping1, Feng Zhigang1,2, Chen Zhida3   

  1. 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:1999-07-09 Online:1999-11-18 Published:1999-11-18
  • Supported by:
    the Outstanding Youth Science Foundation of China(59425003)

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.

2010 MSC Number: 

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