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Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.
1
vote
1
answer
716
views
disable lines in RegionPlot when set is not bounded
Im trying to plot a horizontal strip in the (x,y)-plane with -1 < y < 1. I achieved this:
RegionPlot[
y^2 <= 1,
{x, -2, 2},
{y, -2, 2},
Frame -> False,
BoundaryStyle -> Directive[T …
3
votes
1
answer
428
views
Using more CPU power to decrease evaluating time
Lets say I wanted to make a highly detailed graph of a 3D function. Generally I use something like
Plot3D[(x^2 + y^2)*Sin[1/Sqrt[x^2 + y^2]], {x, -1/8, 1/8}, {y, -1/8, 1/8}, PlotPoints -> {800, 800} …
2
votes
2
answers
209
views
better ContourLabels for ContourPlot
When I use the ContourPlot I prefer to use ContourLabels rather than using the PlotLegends. However the labels are often displayed very close to the frame so it sometimes can be hard to read them.
Exa …
3
votes
1
answer
187
views
ContourPlot - ColorFunctionScaling does not help to get ColorFunction properly
I have a ContourPlot where every contour should be displayed with a different color
ContourPlot[
-((2500*Sqrt[13]*(x - 10000)*x^2*y)/(15625*x^4 - 13*(x - 10000)^2*y^2)),
{x, 35, 100},
{y, 1.4, 5.6} …
0
votes
Accepted
Why is ParametricPlot3D not producing a graph
Since your function V[t] uses x[t],y[t],z[t] (okay x is not used but anyways) I would define them first using this code:
x[t_] = Sin[t^2];
y[t_] = t^2 - Cos[t];
z[t_] = Sinh[t] - Cos[t];
Now you can …
2
votes
0
answers
92
views
JuliaSetPlot increase quality of output
For a complex dynamics class I take I want to generate a nice image of an Herman ring. I used this code to generate a first image:
g[z_] = (Exp[2*Pi*I*(-3.57)]*z^2*(z - 4))/(1 - 4 z);
JuliaSetPlot[
…
5
votes
1
answer
299
views
How to recreate this complex iteration
I came across this image in a book Im reading:
(taken from Rational Iteration Complex Analytic Dynamical Systems from Steinmetz. I hope it is okay to share it here)
and I try to recreate it in Mathem …
1
vote
2
answers
121
views
Visualize extremal points of 3D function with additional conditions
When looking for the critical points of $f(x,y) = x^6+y^6+x^2+y^2$ only on the set $M = \lbrace (x,y) \in \mathbb{R}^2 \mid x^2+y^2 = 1 \rbrace$ I ask myself for a good visualization. So it would be g …
7
votes
2
answers
309
views
How to achieve faster performance on plotting complex valued functions
I'm asking if there is any way of speeding up this plotting method using bigger input images?
The plot takes about 2-3 minutes. …
5
votes
0
answers
594
views
Visualizing the Riemann's mapping theorem [closed]
The Riemann's mapping theorem allows to map any simply-connected domain in the complex plane $\mathbb{C}$ conformal onto the open unit disk. Conformal is meaning preserving angles. This is a complete …
4
votes
1
answer
116
views
Keep mesh of triangulation under complex valued transformation
I try to make a quick tool for "plotting" complex valued functions. …
0
votes
1
answer
121
views
JuliaSetPlot - how do I achieve nicer colors?
I use the following code to generate images of Julia sets:
JuliaSetPlot[
z^2 - 0.76 - 0.11 I, z,
PlotRange -> {{-1.6, 1.6}, {-1.0, 1.0}},
MaxIterations -> 1000,
ImageResolution -> 1500
…
34
votes
3
answers
3k
views
Visualize an irrational number
I would like to visualize an irrational number like the square root of 2 with Mathematica. I found this visualization of Pi in the internet and wonder how this would be done with Mathematica. The imag …