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基于正六边形的Sierpinski地毯的Packing测度

he Packing Measure of Sierpinski Carpets Based on The Normal Sixth Polygon

中文摘要英文摘要

在平面上以正六边形为基本集构造了压缩比为 的Sierpinski地毯.利用自相似性,给出了其Packing测度的准确值。

Let E in R2 be a Sierpinski carpet based on the normal sixth polygon ,with a contracting similar ratio .In this paper,we calculate the lower density of the probability measure on by the self-similarity of .Furthermore,the exact value of the packing measure for is obtained.

肖加清、黄精华

数学

Sierpinski地毯 Packing测度和维数 下密度

Sierpinski Carpets packing measure and dimension lower density

肖加清,黄精华.基于正六边形的Sierpinski地毯的Packing测度[EB/OL].(2006-08-07)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/200608-67.点此复制

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