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

• 论文 •    下一篇

ON STAR PRODUCT FRACTAL SURFACES AND THEIR DIMENSIONS

谢和平1, 冯志刚1,2, 陈至达3   

  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
  • 收稿日期:1999-07-09 出版日期:1999-11-18 发布日期:1999-11-18
  • 基金资助:
    the Outstanding Youth Science Foundation of China(59425003)

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)

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摘要： 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.

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.

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