Question

How to find the set of $c$ for which the Julia set of $x^2+c$ completely lies in $\mathbb{R}$?

score 416 · Answer 1 · 2026-04-29 12:51:13

416

Views

How to find the set of $c$ for which the Julia set of $x^2+c$ completely lies in $\mathbb{R}$?

Published on 29 Apr 2026 - 12:51

score 404 · Answer 2 · 2026-05-10 12:35:40

404

Views

Exact value of the limit of the Mandelbrot iteration for c=1/4?

Published on 10 May 2026 - 12:35

score 214 · Answer 3 · 2026-05-10 13:26:28

214

Views

Can I define the Julia and Fatou sets of a complex non rational function? If not, how can I characterize this fractal?

Published on 10 May 2026 - 13:26

score 200 · Answer 4 · 2026-04-18 13:35:26

200

Views

Help understanding a proof on why the Mandelbrot set is fractal

Published on 18 Apr 2026 - 13:35

score 16 · Answer 5 · 2026-04-12 17:09:38

16

Views

Help with Notation Concerning Bifurcation/Assimilation of Sequence Elements

Published on 12 Apr 2026 - 17:09

score 148 · Answer 6 · 2026-05-10 14:07:41

148

Views

What's the precise definition of self-similarity of the Cantor set?

Published on 10 May 2026 - 14:07

score 788 · Answer 7 · 2026-04-14 04:17:10

788

Views

Do all fractals have this property?

Published on 14 Apr 2026 - 4:17

score 239 · Answer 8 · 2026-05-11 05:13:04

239

Views

bounds on dimension of Julia sets inside Mandelbrot set

Published on 11 May 2026 - 5:13

score 11.1k · Answer 9 · 2026-05-10 15:01:50

11.1k

Views

Koch snowflake paradox: finite area, but infinite perimeter

Published on 10 May 2026 - 15:01

score 80 · Answer 10 · 2026-04-13 20:20:44

80

Views

What is the logical contradiction to producing a finitely thick Koch snowflake?

Published on 13 Apr 2026 - 20:20

score 408 · Answer 11 · 2026-05-04 02:14:19

408

Views

Lagrange spectrum in diophantine approximation theory

Published on 04 May 2026 - 2:14

score 756 · Answer 12 · 2026-04-11 11:22:40

756

Views

Coloring the Mandelbrot set using iterated points

Published on 11 Apr 2026 - 11:22

score 604 · Answer 13 · 2026-04-13 14:01:43

604

Views

3D Mandelbrot - Multibrot

Published on 13 Apr 2026 - 14:01

score 394 · Answer 14 · 2026-05-10 21:26:51

394

Views

Symmetries of Mandelbrot sets with integer exponents

Published on 10 May 2026 - 21:26

score 211 · Answer 15 · 2026-05-10 14:53:21

211

Views

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

Published on 10 May 2026 - 14:53

List Question

How to find the set of $c$ for which the Julia set of $x^2+c$ completely lies in $\mathbb{R}$?

Exact value of the limit of the Mandelbrot iteration for c=1/4?

Can I define the Julia and Fatou sets of a complex non rational function? If not, how can I characterize this fractal?

Help understanding a proof on why the Mandelbrot set is fractal

Help with Notation Concerning Bifurcation/Assimilation of Sequence Elements

What's the precise definition of self-similarity of the Cantor set?

Do all fractals have this property?

bounds on dimension of Julia sets inside Mandelbrot set

Koch snowflake paradox: finite area, but infinite perimeter

What is the logical contradiction to producing a finitely thick Koch snowflake?

Lagrange spectrum in diophantine approximation theory

Coloring the Mandelbrot set using iterated points

3D Mandelbrot - Multibrot

Symmetries of Mandelbrot sets with integer exponents

Are there real numbers such that $ \frac{1}{\sqrt{8}}< \liminf n^2 \left| \xi - \frac{m}{n}\right|< \frac{1}{\sqrt{5}} $?

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