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Results tagged with fractals
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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).
7
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L-systems and Sierpinski Triangle
The space of legal configurations of the Towers of Hanoi puzzle with $n$ disks approximates Sierpinski's triangle.
There is a Hamiltonian path in the space of configurations which can be describes a …
- 28k
23
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Accepted
A point set of power series with coefficients in {-1, 1}. Connected or not?
It is sometimes called a generalized dragon set with parameter $z$, and particular values of $z$ can produce some well-known fractals called dragons. … (This paper refers to Kigami, Analysis on Fractals chapter 1 for the result.) …
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