Chinese Quarterly Journal of Mathematics ›› 2012, Vol. 27 ›› Issue (1): 59-62.

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Estimation of the Hausdorff Measure of a Kind of Sierpinski Carpet

  

  1. 1. Department of Mathematics, East China Normal University 2. Department of Applied Mathematics, Nanjing Forest University

  • Received:2009-09-24 Online:2012-03-30 Published:2023-04-06
  • About author:ZHANG Yun-xiu(1982-), female, native of Nanjing, Jiangsu, a lecturer of Nanjing Forest University, M.S.D., engages in fractal geometry and its applications; GU Hui(1982-), male, native of Nantong, Jiangsu, a doctoral student of East China Normal University, engages in fractal geometry and its applications.

Abstract: Suppose F0 is an arbitrary triangle and F is a kind of Sierpinski carpet generated by F0. We construct a projection mapping to obtain the lower bound of the Hausdorff measure of F; meanwhile the upper bound of the Hausdorff measure of F is calculated by the general covering.

Key words: Hausdorff measure, Sierpinski carpet, projection

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