Question

What is the measure of any given section of this variant of the Sierpinski carpet? Relationship between p-adics and $\pi$.

score 145 · Answer 1 · 2017-04-04 19:27:42

145

Views

What is the measure of any given section of this variant of the Sierpinski carpet? Relationship between p-adics and $\pi$.

Published on 04 Apr 2017 - 19:27

score 237 · Answer 2 · 2026-03-26 02:47:50

237

Views

The Minkowki dimension of the union of two sets?

Published on 26 Mar 2026 - 2:47

score 194 · Answer 3 · 2017-04-06 07:09:37

194

Views

Show that an attractor of an IFS is not totally connected

Published on 06 Apr 2017 - 7:09

score 358 · Answer 4 · 2026-03-25 07:47:21

358

Views

What is correlation dimension, actually?

Published on 25 Mar 2026 - 7:47

score 61 · Answer 5 · 2026-03-25 16:03:06

61

Views

Can a self-similar shape not be a polytope yet have a non-fractal boundary?

Published on 25 Mar 2026 - 16:03

score 130 · Answer 6 · 2023-02-05 10:37:34

130

Views

$\gcd\left(\lfloor x+1\rfloor+1,2^{\lfloor x\rfloor}+1\right)$ has a similar structure to the Sierpinski's triangle. Is it a fractal?

Published on 05 Feb 2023 - 10:37

score 100 · Answer 7 · 2026-03-27 06:09:49

100

Views

Trouble understanding the "Modified Cantor sets" $C_{M,N}$

Published on 27 Mar 2026 - 6:09

score 194 · Answer 8 · 2026-03-27 06:12:38

194

Views

Why, for Menger Sponge (3D generalization of Cantor Set and Sierpiński Triangle), there exists area surface? Shouldn't it be zero instead of infinite?

Published on 27 Mar 2026 - 6:12

score 59 · Answer 9 · 2023-02-12 16:55:27

59

Views

Are there rep-tiles with sharp points?

Published on 12 Feb 2023 - 16:55

score 117 · Answer 10 · 2023-02-13 01:24:00

117

Views

Could this be the reason why the Mandelbrot Set is shaped like a cardioid?

Published on 13 Feb 2023 - 1:24

score 105 · Answer 11 · 2023-02-14 02:27:07

105

Views

Is there an analogue of the Gosper flowsnake on the Cartesian lattice?

Published on 14 Feb 2023 - 2:27

score 80 · Answer 12 · 2026-03-27 06:10:23

80

Views

Representing the points of a doubly deleted Cantor set with a generic parameters $\alpha, \beta$

Published on 27 Mar 2026 - 6:10

score 92 · Answer 13 · 2026-03-25 17:40:24

92

Views

Do the self-similarities of a fractal function govern its convergence properties?

Published on 25 Mar 2026 - 17:40

score 185 · Answer 14 · 2026-03-26 11:05:33

185

Views

Analytic continuation of mandelbrot function

Published on 26 Mar 2026 - 11:05

score 289 · Answer 15 · 2026-03-28 10:24:11

289

Views

How can I find the box dimension of $\{ \frac{1}{n^m}\mid n=1,2,3,\ldots \}$ for a fixed $m$?

Published on 28 Mar 2026 - 10:24

List Question

What is the measure of any given section of this variant of the Sierpinski carpet? Relationship between p-adics and $\pi$.

The Minkowki dimension of the union of two sets?

Show that an attractor of an IFS is not totally connected

What is correlation dimension, actually?

Can a self-similar shape not be a polytope yet have a non-fractal boundary?

$\gcd\left(\lfloor x+1\rfloor+1,2^{\lfloor x\rfloor}+1\right)$ has a similar structure to the Sierpinski's triangle. Is it a fractal?

Trouble understanding the "Modified Cantor sets" $C_{M,N}$

Why, for Menger Sponge (3D generalization of Cantor Set and Sierpiński Triangle), there exists area surface? Shouldn't it be zero instead of infinite?

Are there rep-tiles with sharp points?

Could this be the reason why the Mandelbrot Set is shaped like a cardioid?

Is there an analogue of the Gosper flowsnake on the Cartesian lattice?

Representing the points of a doubly deleted Cantor set with a generic parameters $\alpha, \beta$

Do the self-similarities of a fractal function govern its convergence properties?

Analytic continuation of mandelbrot function

How can I find the box dimension of $\{ \frac{1}{n^m}\mid n=1,2,3,\ldots \}$ for a fixed $m$?

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