The Hausdorff Measure of a Sort of Sierpinski Gasket
Ma Guan-Zhong
Abstract
Ma Guan-Zhong
Abstract
Sierpinski gasket is one of the classic fractals with strick self-similar property.In this paper,we will give the construction of a kind of sierpinski gasket , and the exact Hausdorff measure of it when the similar ratio a=1/3.
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Sierpinski gasket is one of the classic fractals with strick self-similar property.In this paper,we will give the construction of a kind of sierpinski gasket , and the exact Hausdorff measure of it when the similar ratio a=1/3.
Key concepts: Sierpinski triangle, Gasket, Hausdorff measure, Measure (data warehouse), sort, Fractal, Mathematics, Hausdorff space