Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE SNOWFLAKE CURVE AS AN ATTRACTOR OF AN ITERATED FUNCTION SYSTEM

  • Received : 2010.12.06
  • Published : 2013.01.31
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Abstract

Although the snowflake curve, the boundary of the Koch snowflake, is one of the well-known fractals, there is no iterated function system (IFS) for it in the literature. In this study, we give an IFS for this familiar closed curve.

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References

  1. M. F. Barnsley, Fractals Everywhere, Academic Press, Boston, 1988.
  2. G. Helmberg, Getting Acquainted with Fractals, Walter de Gruyter, Berlin, 2007.
  3. J. E. Hutchinson. Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), no. 5, 713-747. https://doi.org/10.1512/iumj.1981.30.30055
  4. H. Jurgens, H. O. Peitgen, and D. Saupe. Chaos and Fractals: New Frontiers of Science, Springer-Verlag, New York, 1992.