Question

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

score 565 · Answer 1 · 2026-02-24 00:49:34

565

Views

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

Published on 24 Feb 2026 - 0:49

score 368 · Answer 2 · 2026-02-24 00:52:10

368

Views

Can the fractal dimension of a coastline be less than 1?

Published on 24 Feb 2026 - 0:52

score 113 · Answer 3 · 2026-02-24 00:49:16

113

Views

How to calculate Assouad Dimension of sets

Published on 24 Feb 2026 - 0:49

score 322 · Answer 4 · 2026-04-09 00:51:03

322

Views

Integration of function using Hausdorff measure of Cantor Set

Published on 09 Apr 2026 - 0:51

score 278 · Answer 5 · 2026-02-24 00:52:16

278

Views

Do fractals necessarily have to be self-similar? What is the definition of a fractal? Is this figure a fractal?

Published on 24 Feb 2026 - 0:52

score 58 · Answer 6 · 2026-02-24 00:50:25

58

Views

Box-counting dimension: $\lim_{\delta \to 0} N_{\delta}(F)\delta^{s} = \infty$ when $s < \dim_{M}(F)$ and another similar limit.

Published on 24 Feb 2026 - 0:50

score 121 · Answer 7 · 2026-02-24 00:52:11

121

Views

Does every point in the Koch curve belong to one of its approximating polygons?

Published on 24 Feb 2026 - 0:52

score 246 · Answer 8 · 2026-02-24 00:51:13

246

Views

Why is it enough to consider limits as $\to 0$ through $\{_k\}$ such that $_{k+1} \ge c_k$ for some $0 < c < 1$ to find $\dim_B F$?

Published on 24 Feb 2026 - 0:51

score 427 · Answer 9 · 2026-04-11 01:31:28

427

Views

Koch snowflake is nowhere differentiable

Published on 11 Apr 2026 - 1:31

score 38 · Answer 10 · 2026-02-24 00:49:16

38

Views

Usage of Egoroff's Theorem in Fractal Geometry

Published on 24 Feb 2026 - 0:49

score 413 · Answer 11 · 2026-02-24 00:52:41

413

Views

Is it possible to solve differential equations on a fractal?

Published on 24 Feb 2026 - 0:52

score 73 · Answer 12 · 2026-02-24 00:46:41

73

Views

Is there an operator valued mandelbrot set?

Published on 24 Feb 2026 - 0:46

score 75 · Answer 13 · 2026-04-11 15:00:55

75

Views

Determining the fractal dimension of the series $\sum_{n=1}^{\infty} \sin{(n^2x)^2/n^3}$

Published on 11 Apr 2026 - 15:00

score 130 · Answer 14 · 2026-02-24 00:51:13

130

Views

What is the dimension of the polar fractal $\mathrm{r=\sum_{n=1}^\infty \frac{sgn(sec(n\theta))}{n}}$?

Published on 24 Feb 2026 - 0:51

score 45 · Answer 15 · 2026-02-24 00:49:33

45

Views

Inequality on the uniform norm of a conformal differentiable transformation

Published on 24 Feb 2026 - 0:49

List Question

Box-counting dimension (Minkowski Dimension) of {1, 1/4, 1/9, 1/16,...}

Can the fractal dimension of a coastline be less than 1?

How to calculate Assouad Dimension of sets

Integration of function using Hausdorff measure of Cantor Set

Do fractals necessarily have to be self-similar? What is the definition of a fractal? Is this figure a fractal?

Box-counting dimension: $\lim_{\delta \to 0} N_{\delta}(F)\delta^{s} = \infty$ when $s < \dim_{M}(F)$ and another similar limit.

Does every point in the Koch curve belong to one of its approximating polygons?

Why is it enough to consider limits as $\to 0$ through $\{_k\}$ such that $_{k+1} \ge c_k$ for some $0 < c < 1$ to find $\dim_B F$?

Koch snowflake is nowhere differentiable

Usage of Egoroff's Theorem in Fractal Geometry

Is it possible to solve differential equations on a fractal?

Is there an operator valued mandelbrot set?

Determining the fractal dimension of the series $\sum_{n=1}^{\infty} \sin{(n^2x)^2/n^3}$

What is the dimension of the polar fractal $\mathrm{r=\sum_{n=1}^\infty \frac{sgn(sec(n\theta))}{n}}$?

Inequality on the uniform norm of a conformal differentiable transformation

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