List questions from fractals

Published on 04 May 2026 - 16:08

222

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"Mandelbrot sets" for different polynomials

Published on 07 May 2026 - 14:11

1.5k

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Is the Mandelbrot set path-connected?

Published on 05 May 2026 - 10:21

123

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Does the boundary of the Mandelbrot set $M$ have empty interior?

Published on 07 May 2026 - 20:26

187

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What sort of function is this? (Logistic map?)

Published on 07 May 2026 - 20:10

120

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effective degree for normalized escape-time of hybrids

Published on 07 May 2026 - 17:40

217

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Julia set of $x_n = \frac{ x_{n-1}^2 - 1}{n}$

Published on 17 Apr 2026 - 16:42

82

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A closed form for the sum $\sum_{s=0}^{n-1} e^{\frac{s(s+1)}{2}i\theta}$?

Published on 07 May 2026 - 13:48

335

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Given a real number $d , (1<d<2)$, is there a fractal with fractal dimension $d$?

Published on 05 May 2026 - 2:07

202

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How can one write a line element for non-integer dimensions?

Published on 03 May 2026 - 17:39

498

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What does the Mandelbrot set look like with holes?

Published on 05 May 2026 - 4:10

181

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ireducible polynomials with coefficients in $\{0,-1\}$

Published on 05 May 2026 - 7:34

466

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Curve of fractal triangle.

Published on 29 Apr 2026 - 12:50

226

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Hausdorff Dimension of Julia set of $z^2+2$?

Published on 07 May 2026 - 9:47

252

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Why do we need to calculate dimensions?

Published on 06 May 2026 - 7:34

List Question

does the area converge?

"Mandelbrot sets" for different polynomials

Is the Mandelbrot set path-connected?

Does the boundary of the Mandelbrot set $M$ have empty interior?

What sort of function is this? (Logistic map?)

effective degree for normalized escape-time of hybrids

Julia set of $x_n = \frac{ x_{n-1}^2 - 1}{n}$

A closed form for the sum $\sum_{s=0}^{n-1} e^{\frac{s(s+1)}{2}i\theta}$?

Given a real number $d , (1<d<2)$, is there a fractal with fractal dimension $d$?

How can one write a line element for non-integer dimensions?

What does the Mandelbrot set look like with holes?

ireducible polynomials with coefficients in $\{0,-1\}$

Curve of fractal triangle.

Hausdorff Dimension of Julia set of $z^2+2$?

Why do we need to calculate dimensions?

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