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Results tagged with fractals
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user 4991
Fractals deal with special sets that exhibit complicated patterns in every scale. Fractal sets usually have a Hausdorff dimension different from its topological dimension. Examples include Julia sets, the Sierpinski triangle, the Cantor set. Fractals naturally appear in dynamical system, such as iterations in the complex plane, or as strange attractors to continuous dynamical systems, (see Lorentz attractor).
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Set operations over iterated function systems
If $F = f_1, \ldots, f_n$ is an IFS, then the attractor of any subset of F is a subset of the attractor of F. This is readily seen through coding points in the attractor (see Barnsley's book for the …
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