Title: Calculation of Hausdorff Measures About a Class of Regular Hexahedrons
Abstract: The problem of calculation of Hausdorff measures of a class of self-similar sets in a regular hexahedron was studied in this paper When the similitude ratios satisfied certain conditions,it was proved that the natural cover was the best shape for upper convex density It means that the natural cover was a best one As a result,the exact value of Hausdorff measure of this class of self-similar sets is (3)~(1/2)s,where s is Hausdorff dimension.
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
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