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Results tagged with fractals
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user 21733
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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Fractals as solution to optimization problem?
What's the scientific reason for fractals being present in nature at such a large scale? Is it perhaps the solution of an optimization problem? … Would highly appreciate some book references which are on topic (i.e. not fractals per se but WHY fractals are out there).
Thanks. …
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