Qinbin He
Abstract
By fractal subdivision analysis,the accurate val ue of Hausdorff measure on a kind of Sierpinski carpet is obtained. That is, when s∈[log_54,1], the Hausdorff measure of the kind of Sierpinski carpet is H~s(S)=(2)~s.
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By fractal subdivision analysis,the accurate val ue of Hausdorff measure on a kind of Sierpinski carpet is obtained. That is, when s∈[log_54,1], the Hausdorff measure of the kind of Sierpinski carpet is H~s(S)=(2)~s.
Key concepts: Sierpinski carpet, Hausdorff measure, Sierpinski triangle, Measure (data warehouse), Subdivision, Mathematics, Fractal, Hausdorff dimension