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Categorization of new fractal carpets

Author

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  • Rani, Mamta
  • Goel, Saurabh

Abstract

Sierpinski carpet is one of the very beautiful fractals from the historic gallery of classical fractals. Carpet designing is not only a fascinating activity in computer graphics, but it has real applications in carpet industry as well. One may find illusionary delighted carpets designed here, which are useful in real designing of carpets. In this paper, we attempt to systematize their generation and put them into categories. Each next category leads to a more generalized form of the fractal carpet.

Suggested Citation

  • Rani, Mamta & Goel, Saurabh, 2009. "Categorization of new fractal carpets," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1020-1026.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:1020-1026
    DOI: 10.1016/j.chaos.2008.04.056
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    References listed on IDEAS

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    1. Min, Wu, 2005. "The Hausdorff measure of some Sierpinski carpets," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 717-731.
    2. Niu, M. & Xi, L.-F., 2007. "Singularity of a class of self-similar measures," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 376-382.
    3. El Naschie, M.S., 2007. "On the universality class of all universality classes and E-infinity spacetime physics," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 927-936.
    4. Dai, Meifeng & Tian, Lixin, 2007. "Intersection of the Sierpinski carpet with its rational translate," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 179-187.
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