# Questions tagged [plotting]

Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

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### Plot Option Precedence while combining Plots with Show[]

I like to build sophisticated plots by combining simpler ones with Show[]. Typically this involves setting non-default Plot-Options with the different Plot-Commands,...
2k views

### Consistent Plot Styles across multiple MMA files and data sets

I am starting to write a thesis for which I want to use MMA for all my plotting needs, mostly because a lot of the basic analysis has been done there. To ensure that I am applying styles consistently (...
3k views

### 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 ...
30k 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 ...
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### 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 ...
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### 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 ...
11k 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 ...
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, ...
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 ...
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 ...
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 ...
67k 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 ...
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 ...
13k 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 ...
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, ...
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### 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 ...
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 ...
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 ...
7k views

### Make a beautiful Moiré effect

How do I make the following Moiré pattern? I tried: ...
22k 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 ...
16k 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, ...
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-...
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### 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 ... 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 <...
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 ...
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 ...
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 ...
754 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, ...
948 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 ...
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### 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: ...
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 ( ...
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### 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 ...
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### 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]]]. ...
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### 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. ...
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 ...
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. ...
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 ...
15k 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. ...
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 ...
34k views

### Placing x-axes label below rather than at end of axes

By default Mathematica places the x-axis labels at the end of the axes like Googling has suggested a way around this is to use Frame- for example ...
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&...
2k views

### Implementing a Beeswarm plot in Mathematica

I am looking for a Beeswarm plot implementation in Mathematica. Consider the following data: ...
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### 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 ...
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 ...
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 \...
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### 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 ...
40k views

### Placing text within a plot

I want to place text within a plot. The text is always centered relative to the coordinates. How can I left-align or right-align the text relative to the coordinates? For example: ...
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 ...