THE HAUSDORFF MEASURE OF SIERPINSKI CARPETS BASING ON REGULAR PENTAGON |
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| Authors: | Chaoyi Zeng Dehui Yuan & Shaoyuan Xu |
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| Institution: | Chaoyi Zeng,Dehui Yuan(Hanshan Normal University,China)Shaoyuan Xu(Gannan Normal University,China) |
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| Abstract: | In this paper,we address the problem of exact computation of the Hausdorff measure of a class of Sierpinski carpets E the self-similar sets generating in a unit regular pentagon on the plane.Under some conditions,we show the natural covering is the best one,and the Hausdorff measures of those sets are euqal to | E | s,where s=dim H E. |
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| Keywords: | Sierpinski carpet Hausdorff measure upper convex density |
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