Question

Is there a Julia fractal that contains uncountable many copies of itself?

score 70 · Answer 1 · 2023-11-20 19:41:33

70

Views

Is there a Julia fractal that contains uncountable many copies of itself?

Published on 20 Nov 2023 - 19:41

score 28 · Answer 2 · 2023-11-23 03:39:33

28

Views

Are co-ordinate systems within a fractal inhertly compressible due to them having non integer dimensions?

Published on 23 Nov 2023 - 3:39

score 89 · Answer 3 · 2026-03-25 01:15:29

89

Views

Why do fractal-like patterns appear in this sequence?

Published on 25 Mar 2026 - 1:15

score 45 · Answer 4 · 2023-11-27 15:22:13

45

Views

Points that are in a Julia set, but not repelling periodic points / connection between binary expansions and trajectories

Published on 27 Nov 2023 - 15:22

score 64 · Answer 5 · 2026-03-26 02:55:45

64

Views

Example of a buried Julia component of a transcendental meromorphic function.

Published on 26 Mar 2026 - 2:55

score 131 · Answer 6 · 2026-03-27 15:05:36

131

Views

The number of triangles in the fractal, which is formed from a square by the additional construction of isosceles right triangles

Published on 27 Mar 2026 - 15:05

score 70 · Answer 7 · 2026-03-26 02:55:36

70

Views

Why more iterations benefit deeper Mandelbrot zooms over shallow zooms?

Published on 26 Mar 2026 - 2:55

score 37 · Answer 8 · 2026-03-26 06:04:14

37

Views

Multiply connected Fatou component of an entire function.

Published on 26 Mar 2026 - 6:04

score 1.5k · Answer 9 · 2023-12-20 22:38:26

1.5k

Views

Is there any sequence of closed shapes whose limit tends to the unit circle while the limit of the perimeter goes to infinity?

Published on 20 Dec 2023 - 22:38

score 51 · Answer 10 · 2026-03-26 06:05:34

51

Views

Why does this distance estimator method render The Mandelbrot set incorrectly (non-divergent regions as divergent)?

Published on 26 Mar 2026 - 6:05

score 82 · Answer 11 · 2023-12-22 02:54:18

82

Views

Number of Koch snowflakes when tiling Koch snowflakes next to each other

Published on 22 Dec 2023 - 2:54

score 94 · Answer 12 · 2026-03-28 11:34:57

94

Views

Polar Coordinate Calculation of Hypercomplex Fractals

Published on 28 Mar 2026 - 11:34

score 91 · Answer 13 · 2026-03-27 02:35:53

91

Views

Can a fractal have an infinite area if it's bounded by a box?

Published on 27 Mar 2026 - 2:35

score 68 · Answer 14 · 2026-03-25 19:04:27

68

Views

Properties of a 3D Julia set from squaring a 3D number?

Published on 25 Mar 2026 - 19:04

score 36 · Answer 15 · 2026-03-26 04:14:09

36

Views

Fractals by Fractional Integration

Published on 26 Mar 2026 - 4:14

List Question

Is there a Julia fractal that contains uncountable many copies of itself?

Are co-ordinate systems within a fractal inhertly compressible due to them having non integer dimensions?

Why do fractal-like patterns appear in this sequence?

Points that are in a Julia set, but not repelling periodic points / connection between binary expansions and trajectories

Example of a buried Julia component of a transcendental meromorphic function.

The number of triangles in the fractal, which is formed from a square by the additional construction of isosceles right triangles

Why more iterations benefit deeper Mandelbrot zooms over shallow zooms?

Multiply connected Fatou component of an entire function.

Is there any sequence of closed shapes whose limit tends to the unit circle while the limit of the perimeter goes to infinity?

Why does this distance estimator method render The Mandelbrot set incorrectly (non-divergent regions as divergent)?

Number of Koch snowflakes when tiling Koch snowflakes next to each other

Polar Coordinate Calculation of Hypercomplex Fractals

Can a fractal have an infinite area if it's bounded by a box?

Properties of a 3D Julia set from squaring a 3D number?

Fractals by Fractional Integration

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