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Multiple-cell elements and regular multifractals |
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| Authors: | Ya-jun Yin Ying Li Fan Yang Qin-shan Fan |
| Institution: | 1. Department of Engineering Mechanics, School of Aerospace, AML, Tsinghua University,Beijing 100084, P. R. China;Division of Mechanics, Nanjing University of Technology,Nanjing 211816, P. R. China 2. Department of Engineering Mechanics, School of Aerospace, AML, Tsinghua University,Beijing 100084, P. R. China 3. Division of Mechanics, Nanjing University of Technology,Nanjing 211816, P. R. China |
| Abstract: | Based on fractal super fibers and binary fractal fibers,the following objectives are approached in this paper:First,the concept of multiple-cell elements is induced and abstracted. Second,through multiple-cell elements,the constructability of regular multifractals with strict self-similarities is confirmed,and the universality of the construction mode for regular multifractals is proved. Third,through the construction mode and multiple-cell elements,regular multifractals are demonstrated to be equivalent to... |
| Keywords: | binary fractal fibers binary cell elements regular binary fractals multiple-cell elements regular multifractals |
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