Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (1): 57-67.

Previous Articles     Next Articles

The Hausdorff Measure of a Generalized Sierpinski Carpet

  

  1. College of Mathematics and Information Science,Henan Normal University,Xinxiang 453002,China
  • Received:2001-11-01 Online:2003-03-30 Published:2024-04-22
  • About author:CUI Zhen-wen(1942-),male,native of Nanjing,Jiangsu,a professor of Henan Normal University ,engages in fractal theory with applications and approximation theory with applications.
  • Supported by:
    Supported by the National Natural Science Foundation of China(69874010)

Abstract: In this paper,first ,we prove that the Sierpinski carpet E is equivalent to the set R .Then we define a mass distribution on R .Using a certain of mass distribution,we obtain the lower bound about the Hausdorff measure of R .Therefore the exact value of Hausdorff measure of E is given.

Key words: fractal, Hausdorff measure, Sierpinski carpet

CLC Number: