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2004•Journal of Nanchang UniversityRequires access

A Note on the Hausdorff Measure of the Sierpinski Gasket

Shaoyuan Xu, Zhu Chuan-xi

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Abstract

Using the Partly Covering Principle for the self-similar sets we study the Hausdorff measure of the Sierpinski Gasket.By constructing a successive sequence,we set up a convenient formula on the upper value of the Hausdorff measure of the Sierpinski Gasket.At the end of the paper,we pose conjecture on the Hausdorff measure of the Sierpinski Gasket.

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What this paper is about

Using the Partly Covering Principle for the self-similar sets we study the Hausdorff measure of the Sierpinski Gasket.By constructing a successive sequence,we set up a convenient formula on the upper value of the Hausdorff measure of the Sierpinski Gasket.At the end of the paper,we pose conjecture on the Hausdorff measure of the Sierpinski Gasket.

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Available abstract

Using the Partly Covering Principle for the self-similar sets we study the Hausdorff measure of the Sierpinski Gasket.By constructing a successive sequence,we set up a convenient formula on the upper value of the Hausdorff measure of the Sierpinski Gasket.At the end of the paper,we pose conjecture on the Hausdorff measure of the Sierpinski Gasket.

Key concepts: Sierpinski triangle, Hausdorff measure, Gasket, Measure (data warehouse), Mathematics, Hausdorff distance, Sierpinski carpet, Outer measure

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