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Results tagged with fractals
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user 26815
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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How can we not know the $s$-measure of the Sierpiński triangle?
To comply to the idea of this site hosting questions instead of rants, I formulate my bafflement as follows:
Why is the $s$-measure of the Sierpiński triangle and other self-similar fractals so hard …
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