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.
2023, Vol. 57 
