摘要
研究Sierpinski地毯平移交集的计盒维数,发现它与平移长度有关,利用移位t的四进展开式,给出一递归集,得到Sierpinski地毯平移交集的分形结构,并建立这些交集计盒维数的基本性质。
By analyzing the dimension of intersection of sierpinski carpet with their translations. We found that it had the relation with length of their translations. Using the quaternion expansion of the shifting number ,we determined the fractal structure of intersection of sierpinski footcloth with their translates, and set up the fundamental properties of Box dimensions of those intersection sets.
出处
《湖北广播电视大学学报》
2007年第3期143-144,共2页
Journal of Hubei Radio & Television University