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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 …
Arji's user avatar
  • 1,134
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} …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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} …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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[ …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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. …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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. …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134
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 …
Arji's user avatar
  • 1,134