Questions tagged [fractals]
130 questions
4
votes
1 answer
How to plot fractals created with Newton's method
I'm quite a beginner using Mathematica. I'd like to plot the fractals of higher degree polynomials.
I have an example for z^3 - 1 which looks like this:
F[z_] := z^3 - 1;
NewtonRaphsonStep[z_] := z - F[z]/F'[z]
NoOfIterations = 6;
GridSize =…
Beginneruser
- 41
- 2
2
votes
1 answer
Plot Julia - Fractal
I want to obtain the following figure, but I did not manage to obtain it, any suggestion?
julia[c_, z_, m_] :=
ListPlot[{Re[#], Im[#]} & /@
Nest[Flatten[(Map[w, #] /. k -> c), 1] &, {z}, m],
AspectRatio -> Automatic, Prolog ->…
Halsey12
- 49
- 2
2
votes
1 answer
How to make an fractal text by using Mathematica?
How to make an fractal text by using Mathematica?
https://ismaelsb.shinyapps.io/FractalText/
Milk
- 1,688
- 10
- 9
2
votes
2 answers
Basins of attraction when using Newton's method to solve $x^3-1 = 0$
I created Newton fractal plot for x^3 - 1 and would like to know where did I go wrong. I know I could have just copied the code but that would not have been fun.
x = N[FindDivisions[{-2, 2}, 200], 8];
y = N[FindDivisions[{-2, 2}, 200], 8];
fx = xn^3…
user49702
- 31
- 3
1
vote
2 answers
Space filling function
How do I obtain the space filling function (continuous surjection $[0, 1] \to [0, 1]^2$) from a space filling curve?
user66704
1
vote
1 answer
Coordinates of the centers of the triangles composing a Koch snowflake
How do I obtain the coordinates of the centers of triangles composing the Koch snowflake?
Gaby
- 13
- 3
0
votes
1 answer
Using KochCurve in order to create a fractal
I am having trouble creating a Koch curve using the function KochCurve in Mathematica. What I want to create is something like this.
However, what I end up with, using this code:
Graphics[KochCurve[2, {0, Pi/2, -Pi/2, -Pi/2, Pi/2}]]
is this
As…
Varun Vejalla
- 147
- 6
0
votes
0 answers
N-dimensional Moore Curve
How do I implement an $N$-dimensional Moore Curve in Mathematica? It is known that a Moore curve of order $P$ in N-dimensions can be made of $2^{N}$ Hilbert curves of order $P-1$ arranged on the corners of the $N$-dimensional Hypercube.
MostafaMV
- 453
- 3
- 7