Questions tagged [plotting]
Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.
15,185
questions
31
votes
11
answers
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Plotting the Star of Bethlehem
Christmas is around the corner! In preparation, consider the polynomial
f[x_,y_]:= 1/10 (4 - x^2 - 2 y^2)^2 + 1/2 (x^2 + y^2)
and define $r=(f_x,f_y)$ using the ...
- 1,005
31
votes
1
answer
29k
views
Mathematica code for Bifurcation Diagram
At the moment I am trying to construct a bifurcation diagram of the iterative function $f(x)=$ $ax-1.1975x^3$. I've scoured the internet for pre-made bifurcation diagrams and found many (mostly of the ...
- 465
31
votes
5
answers
6k
views
Mathematica envelope for the bottom of a plot, a generic function
I have the following set-up:
xaxis = Table[x, {x, 0, 10, 0.01}];
yaxis = Table [Sin[x] + Abs[RandomReal[{-1, 1}]], {x, 0, 10, 0.01}];
ListLinePlot[Transpose[{
xaxis, yaxis}]]
My questions is how can ...
- 1,247
31
votes
5
answers
14k
views
How do I make framed plots the same size?
Suppose that I have two plots, plot1 and plot2. The plots have different ranges and different axes. Here is a fictitious ...
- 9,997
31
votes
2
answers
10k
views
Creating a simulation of our Solar System
As the title says, my objective is to create a simulation of the motion of the planets in our Solar System using Mathematica. All the theoretical background regarding the equations of motion of ...
- 8,530
31
votes
5
answers
5k
views
How to plot the contour of f[x,y]==0 if always f[x,y]>=0
I've been stuck at this problem for weeks and I've asked several related questions here:
ContourPlot shows only part of the contours [duplicate]
How to plot the contour of the radius part of a ...
- 27.3k
31
votes
3
answers
2k
views
Can Mathematica produce manipulatable 3D plots for deployment on the web?
I have a 3D plot I produced in Mathematica and I would like to share it with the world in a way that allows my audience to rotate it and interact with it in the broadest possible way. I would like ...
- 10.1k
31
votes
2
answers
6k
views
Export Plot3D in Mathematica 10.1 is Rasterized by default
When I use Export to export Plot3D to PDF format, I get different behaviour in Mathematica 10.1 compared to 10.0. In particular, ...
- 1,565
30
votes
4
answers
3k
views
Scale Insetted Characters to Plot
I am trying to place a curly brace within a plot such that the top/bottom of the curly brace line up with two horizontal lines in the plot:
I have not been able to find a way to make the curly brace ...
- 6,037
30
votes
5
answers
7k
views
Plotting piecewise function with distinct colors in each section
I have a piecewise function that I would like to plot but I was wondering if it is possible that each part of the function that is plotted when its corresponding condition is true be plotted with a ...
- 403
30
votes
4
answers
7k
views
Can 2D and 3D plots be combined so that the 2D plot is the bottom surface of the 3D plot boundary?
I have a ListlinePlot function, that I would like to combine with both a Graphics3D plot and a ...
- 4,468
30
votes
4
answers
12k
views
Making Axes logarithmic in 3d plots
I've been trying to get loglog plots in 3D, but to no avail. My initial approach was to take the logarithm inside the plot i.e
...
- 425
30
votes
3
answers
12k
views
Plotting a set of trajectories (not a vector field) in 3D
Consider a set of trajectories in 3D space, that possibly converge. By visualizing trajectories as arrows the result will look crowded as each arrowhead will be placed where the attractor is. In 2D, ...
- 46.4k
30
votes
1
answer
2k
views
How to plot data by counties?
I'd like to plot county data as in this D3 example:
Is there a way to do this with GeoGraphics, or at least to get path polygons per county and then plot them with different colors?
The first thing ...
- 30.9k
30
votes
3
answers
2k
views
Save as pdf broken in version 10.0.2?
Fixed in 10.1
It looks like the save as pdf is broken after I update to version 10.0.2. The labels in the plot become a mess.
Are there ways to fix it? The Export ...
- 27.3k
29
votes
6
answers
8k
views
Plotting several functions
I'd like to plot a function of one real and one integer variable, but I don't want them all shown in the same 2-D plot - I'd like to see them as separate curves so I can see both "axes", more like how ...
- 1,190
29
votes
7
answers
5k
views
How do I draw a Circular Graph colored like this in Mathematica?
I must plot some data in radians and would like to use this image as a background to that graph. Although it looks good, the lines are degraded in image form; thus, the reason for this question. Can ...
- 4,468
29
votes
5
answers
7k
views
29
votes
3
answers
15k
views
About the number format in ticks
I want to LogPlot a function, but I have the trouble in the number format in the ticks.
For example,
...
- 4,785
29
votes
6
answers
6k
views
Using ListPointPlot3D to simulate 2D plots moving in time
I wrote a 1D solver for the heat equation $u_t=u_{xx}$, and I can animate the solution using normal ListPlot command, where the x-axis is the rod length, and the y-...
- 130k
29
votes
2
answers
2k
views
Where can I get detailed information on how the Plot command works?
The command
Plot[x^2, {x, -3, 3}, PlotStyle -> Arrowheads[{-.025, .025}]] /.Line -> Arrow
produces this output.
What I don't understand is what ...
user246
29
votes
4
answers
1k
views
Place a small gap between axes and plot?
See for example this picture produced with R:
You can see there is a small white space between the x-axis and the y-axis, so that the axes do not cross. How can I do this with Mathematica, for a <...
- 11k
29
votes
3
answers
3k
views
How to change ColorFunction after plotting
Say I have a plot like
plot = DensityPlot[ Exp[-((x-5)^2+(y-5)^2)/5^2],
{x, 0, 10}, {y, 0, 10}, PlotRange -> {0,1} ]
Is there a way to ...
- 7,419
29
votes
2
answers
3k
views
Switch from logarithmic to linear scaling partway along a plot's axis
In the 2015 Planck satellite results, they give the latest plot of the temperature power spectrum of the cosmic microwave background, which I show below. (I am only interested in the main plot; you ...
- 1,253
29
votes
1
answer
746
views
Creating a package of special plots
In my work as a math teacher, I create lots of graphs to illustrate ideas.
I have lots of math books and will often try to duplicate a particular style of graph.
Below, one very simple example, ...
- 3,718
29
votes
1
answer
914
views
Why is ListPlot so slow here?
While examining How can I monitor the progress of a Plot? I was surprised to discover that in some cases ListPlot in version 10.0 and 10.1 is orders of magnitude ...
- 267k
28
votes
5
answers
4k
views
How to plot Error Bars in a 3D scatter plot
This is a simple problem which is proving difficult to solve. I want to plot error bars on points in a 3D scatter graph. I plot error bars on points within a 2D scatter by:
...
- 281
28
votes
6
answers
21k
views
Filling between boundaries
I would like to visualize what it graphically means to integrate between two boundary values. Therefore I'd like to make a Filling between these two values. Is ...
- 2,640
28
votes
3
answers
12k
views
How to create a heatmap from list of coordinates?
I have a list of coordinates in form {{x1,y1},{x2,y2},...}
Is there a way in mma to builds density plots based on position (
...
- 1,805
28
votes
2
answers
65k
views
Make a scatter plot from two lists
I have two lists of values
xx = {0.1, 0.3, 0.35, 0.57, 0.88, 1.0}
yy = {1.2, 3.5, 4.5, 7.8, 9.0, 12.2}
I want to make a scatter plot (list plot) with xx as x ...
- 555
28
votes
3
answers
4k
views
Improve Plot3D resolution near max/mins
I have the following function
$$V(r) = \sum_{i=1}^N 4 \epsilon_i \left(\frac{\sigma_i^{12}}{\|r-r_{0i}\|^{12}}-\frac{\sigma_i^6}{\|r-r_{0i}\|^6}\right)$$
which -for those interested- corresponds to ...
- 1,589
28
votes
5
answers
1k
views
Compiling ColorFunction for faster complex phase-amplitude plots
I have gotten into the habit of plotting complex-valued functions on a plane using a color-function along the lines of
Function[{z}, Hue[Arg[z]/(2 π), 1, Abs[z]]].
...
- 11.8k
28
votes
2
answers
4k
views
What is the fundamental difference between ArrayPlot and MatrixPlot?
Suppose I have a matrix called data. It seems that I can plot data using either ArrayPlot or ...
- 9,997
27
votes
7
answers
9k
views
Using PlotLegends with Show messes up the graphics
I have already obtained the plot that I want but am having trouble legending the graph correctly.
...
- 901
27
votes
7
answers
14k
views
Plotting discontinuous functions without spurious vertical segments
Consider the plot of this discontinuous function:
f[x_] := If[2 < x < 3, 0, x]
Plot[f[x], {x, 0, 5}]
I'd like to plot that without the vertical segments.
...
- 606
27
votes
4
answers
9k
views
Computing and plotting a spectrogram in Mathematica
How can I compute and plot the spectrogram of a signal/time series/data in Mathematica? I have a WAV file, sampled at 44100 samples/second and I want to generate a spectrogram of that data. Something ...
- 1,725
27
votes
2
answers
3k
views
Phase portrait on a cylinder
It is very nice and very easy to make a sketch of a phase portrait with StreamPlot. For example, for the classical pendulum, defined by
\begin{eqnarray*}
\dot x&...
- 1,027
27
votes
4
answers
8k
views
Data interpolation and ListContourPlot
I am fairly new to Mathematica and I have two quick questions on using it for a Hydrology and Hydrogeology class. One is about data interpolation and interpolating without any data defined in an area. ...
- 373
27
votes
4
answers
2k
views
Implementing a Beeswarm plot in Mathematica
I am looking for a Beeswarm plot implementation in Mathematica.
Consider the following data:
...
- 1,859
27
votes
2
answers
1k
views
Is there a way to have Plot draw points on a function where the function is undefined as circles as in textbooks?
A very common feature of graphs of functions used throughout textbooks are simple indications, such as open circles, of the points at which a function is undefined. Is there a way to do this in ...
- 12.7k
27
votes
1
answer
6k
views
How to draw grid lines on top of a plot?
I want to use ArrayPlot instead of a DensityPlot because it seems to be faster (more here)
I still want axes ticks to have real ...
- 6,358
27
votes
3
answers
7k
views
Visualizing a Complex Vector Field near Poles
I've been playing around with a visualization technique for complex functions where one views the function $f: \mathbb{C} \rightarrow \mathbb{C}$ as the vector field $f: \mathbb{R^2} \rightarrow \...
- 655
27
votes
3
answers
1k
views
How can I make Plot show the plot while it's computing it?
Normally, Plot acts like a black box and only gives you the requested plot once it has finished computing it.
However it can be useful, other than interesting, to ...
- 7,513
27
votes
2
answers
1k
views
Filling Space with Pursuit Polygons
I want to make a program which can fill a 2D space with "pursuit polygons".
The following picture will help you understand better what I mean.
You can also look up "pursuit curves" or mice problem or ...
- 6,537
26
votes
5
answers
3k
views
Magnifying Glass on a Plot
Although there is a trick in TEX magnifying glass but I want to know is there any function to magnifying glass on a plot with Mathematica?
For example for a function as ...
- 4,747
26
votes
5
answers
2k
views
Plot a partition of the sphere given vertices of polygons
I saw in this question that Mathematica can draw spherical triangles. I guess something similar can be done to plot a spherical polygon. I am interested in something similar:
I have a set of points ...
- 645
26
votes
3
answers
3k
views
Plot 3D model of DNA in Mathematica
My friend asked me if we can plot a 3D model of DNA (deoxyribonucleic acid) in Mathematica. However, I am not really familiar with this and I don't know if Mathematica can do this. Could you answer ...
- 2,293
26
votes
4
answers
4k
views
Hightlight all the self-intersections of a Lissajous figure
This graph–also known as a Lissajous figure–contains so many self-intersections.How can I highlight them?
...
- 1,814
26
votes
6
answers
7k
views
Fixing quirky typesetting in plot labels
Consider this example plot.
Plot[
1-Exp[-x],
{x,0,3},
AxesLabel->{"thickness (μm)","power density (W/m^2)"}
]
Let us hold the typographical quality of the ...
- 7,680
26
votes
7
answers
1k
views
Graphical representation of a moving sound source
Some explanation since I have got a specific and another more open-ended question:
I used two microphones in a 90° arrangement (see picture below) to capture sound from a source moving around the room ...
- 8,369