华中师范大学学报（自然科学版）2023，Vol.57Issue(6)：793-798,6.DOI:10.19603/j.cnki.1000-1190.2023.06.004
Moran-Sierpinski地毯及Moran-Sierpinski海绵的维数结果
Dimensional results for the Moran-Sierpinski carpet and Moran-Sierpinski sponge
摘要
Abstract
In this paper,the dimensional results of Moran-Sierpinski carpet and Moran-Sierpinski sponge are considered.Moran-Sierpinski carpet and Moran-Sierpinski sponge have the Moran structure,which is an extension of the Sierpinski carpet and Sierpinski sponge by the method of Moran set.By the techniques in fractal geometry and calculation,the Hausdorff dimensions,packing dimensions,and upper box dimensions of the Moran-Sierpinski carpet and Moran-Sierpinski sponge are obtained.The dimensional results of the Sierpinski carpet and Sierpinski sponge can be seen as special cases of this paper.关键词
Sierpinski地毯/Sierpinski海绵/Moran集/Hausdorff维数/packing维数/上盒维数Key words
Sierpinski carpet/Sierpinski sponge/Moran set/Hausdorff dimension/packing dimension/upper box dimension分类
数理科学引用本文复制引用
胡晓梅..Moran-Sierpinski地毯及Moran-Sierpinski海绵的维数结果[J].华中师范大学学报（自然科学版）,2023,57(6):793-798,6.基金项目
国家自然科学基金项目(11271148). （11271148）
