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  • 标题:Inversion of a Hyperpolar Sierpinski Carpet With Respect to a Hyperpolar Circle
  • 本地全文:下载
  • 作者:Frank Glaser
  • 期刊名称:Journal of Interdisiplinary Studies
  • 出版年度:2000
  • 卷号:13
  • 出版社:California State Polytechnic University
  • 摘要:

    This article is a continuation of a previous work which dealt with the inversion of a Sierpinski triangle with respect to a hyperpolar circle. In this article, the same transformation of inversion is applied to a hyperpolar Sierpinski carpet placed in an advantageous position with respect to the hyperpolar circle of inversion. This is done in order to obtain a new fractal which also has the property of universality for all compact one-dimensional curves ( i.e. the same property enjoyed by both the Sierpinski carpet and its hyperpolar image).

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