关于正四面体生成的Sierpinski块的Hausdorff维数

Hausdorff Dimension of Sierpinski Block Generated by Normal Tetrahedron

构造了正四面体生成的一般Sierpinski块,利用满足开集条件的压缩自相似映射的性质,给出它们的Hausdorff维数s=ln[4+6(n-1)] ln(1 ε)。

A general Sierpinski block generated by normal tetrahedron is constructed by making use of the contraction of identical mapping which meets the open set conditions,and finds out its Hausdorff dimension s=ln[4+6(n-1)]/ln(1/ε).