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What is the Lebesgue measure of the Koch and the Minkowski curves?

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#measure-theory #lebesgue-measure #curves #fractals
35
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Are dungeons (repeated basing) fractals?

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#sequences-and-series #continuity #fractals
14.9k
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Sierpinski triangle formula: How to take into account for $0^{th}$ power?

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#geometry #fractals
2.9k
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Radius of inner circles given radius of outer circle and number of inner circles in circular fractal

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#geometry #circles #fractals
2.1k
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Perfect circles in the Mandelbrot set?

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#reference-request #fractals #complex-dynamics
1k
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Fractal dimension of the function $f(x)=\sum_{n=1}^{\infty}\frac{\mathrm{sign}\left(\sin(nx)\right)}{n}$

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#sequences-and-series #fractals
277
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How would I calculate points on the Peano curve?

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#fractals
1.4k
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Examples of smooth fractals

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#real-analysis #geometry #plane-curves #fractals
823
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Number of bulbs of period $n$ in the Mandelbrot set.

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#sequences-and-series #fractals #complex-dynamics
144
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Is loss of significance chaotic?

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#fractals #floating-point #chaos-theory
151
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Is any space-filling curve a pairing function?

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#curves #fractals
129
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Dimensions of McMullen carpets

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#fractals #dimension-theory-analysis
110
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Does $\dim(\varnothing) <0 $ make any sort of sense?

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#manifolds #fractals #dimension-theory-analysis
281
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Dimension of the intersection of a Cantor set and a Koch curve

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#fractals #dimension-theory-analysis
147
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Could fractals be used in fundamental physics, if not, why not?

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#reference-request #mathematical-physics #fractals

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