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- are similitudes, then the attractor is called a self-similar set. These sets are usually fractals (cf. [[Fractals|Fractals]]); an exampl A generalization is the concept of a recurrent self-similar (or mixed self-similar) set generated by a recurrent iterated function system. Let $ M = ( m _ {5 KB (810 words) - 22:13, 5 June 2020
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- ...the non-differentiable curve obtained by von Koch. Typically, a fractal is self-similar in a deterministic or a stochastic way. D. Sullivan introduced the concept ...ed at $x$ of radius $r$.) Accordingly, a fractal may be defined as a quasi-self-similar set. In some important cases the similarity transformations of a fractal se4 KB (542 words) - 19:03, 16 April 2014
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- Like other self-similar fractals, the Sierpiński gasket is constructed iteratively. Beginning with The gasket is strictly self-similar in the sense that it can be written as a finite union of scaled copies of i26 KB (3,837 words) - 19:21, 17 March 2024
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