正四面体生成的一般Sierpinski块的Hausdorff测度的估计

The Estimate of the Hausdorff Measure of the General Sierpinski Block Generated by Regular Tetrahedron

首先引入了正四面体生成的一般Sierpinski块的概念及其构造,给出正四面体生成的一般Sierpinski块的Hausdorff维数,并对其Hausdorff测度研究现状进行了分析;通过构造出一个新的迭代数列,得到了估计正四面体生成的一般Sierpinski块的Hausdorff测度的更好的公式,并计算得出了相关结果.

This paper firstly introduces the concept and construct of the general Sierpinski block generated by the regular tetrahedron, then offers the Hausdorff dimension of the general Sierpinski block generated by the regular tetrahedron, analyzes the status quo of the research on the Hausdorff measure, by constructing a new iterative sequence of number, gives a better formular for the estimate of the Hausdorff measure of the general Sierpinski block generated by the regular tetrahedron, and obtains the relevant results by calculation.