List questions from fractals

Published on 20 Mar 2026 - 5:24

213

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"Mandelbrot sets" for different polynomials

Published on 19 Mar 2026 - 17:02

1.5k

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Is the Mandelbrot set path-connected?

Published on 17 Mar 2026 - 6:26

116

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

Published on 24 Mar 2026 - 7:13

179

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

Published on 19 Mar 2026 - 22:10

112

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effective degree for normalized escape-time of hybrids

Published on 19 Mar 2026 - 19:58

212

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

Published on 19 Mar 2026 - 21:05

73

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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 20 Mar 2026 - 0:03

326

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

Published on 20 Mar 2026 - 5:30

194

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

Published on 20 Mar 2026 - 7:36

490

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What does the Mandelbrot set look like with holes?

Published on 20 Mar 2026 - 6:17

173

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

Published on 17 Mar 2026 - 15:44

457

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Curve of fractal triangle.

Published on 19 Mar 2026 - 23:10

220

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

Published on 19 Mar 2026 - 23:14

244

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Why do we need to calculate dimensions?

Published on 24 Mar 2026 - 5:14

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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