Multiple Cell Elements and Regular Multifractals

YIN Ya-jun; LI Ying; YANG Fan; FAN Qin-shan

doi:10.3879/j.issn.1000-0887.2010.01.006

Volume 31 Issue 1

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YIN Ya-jun, LI Ying, YANG Fan, FAN Qin-shan. Multiple Cell Elements and Regular Multifractals[J]. Applied Mathematics and Mechanics, 2010, 31(1): 51-60. doi: 10.3879/j.issn.1000-0887.2010.01.006

Citation:

YIN Ya-jun, LI Ying, YANG Fan, FAN Qin-shan. Multiple Cell Elements and Regular Multifractals[J]. Applied Mathematics and Mechanics, 2010, 31(1): 51-60. doi: 10.3879/j.issn.1000-0887.2010.01.006

Citation:

YIN Ya-jun, LI Ying, YANG Fan, FAN Qin-shan. Multiple Cell Elements and Regular Multifractals[J]. Applied Mathematics and Mechanics, 2010, 31(1): 51-60. doi: 10.3879/j.issn.1000-0887.2010.01.006

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Multiple Cell Elements and Regular Multifractals

doi: 10.3879/j.issn.1000-0887.2010.01.006

1.
Department of Engineering Mechanics, School of Aerospace, AML, Tsinghua University, Beijing 100084, P. R. China;

Received Date: 2009-07-09
Rev Recd Date: 2009-11-10
Publish Date: 2010-01-15

Abstract

Abstract

Based on fractal super fibers and binary fractal fibers, the following objectives were approached: Firstly, the concept of multiple celle lements was induced and abstracted. Secondly, th rough multiple cell elements, regular multifractals with strict self-similarities were confirmed not only constructible, but also being of universal construction mode. Thirdly, through the construction mode, a regular multifractal was found to be equivalent to a generalized regular single fractal with multiple fine structures under the meaning of multiple cellelements. On the basis of this equivalence, the dimension of single fractals was extended to that of regular multifractals, and the geometry of single fractals was extended to that of regular multifractals. Fourthly, through regular multifractals a few golden fractals were constructed.
- binary fractal fibers,
- binary cell elements,
- regular binary fractals,
- multiple cellelements,
- multifractals

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References(20)

References

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