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

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429
votes
6answers
155k views

xkcd-style graphs

I received an email to which I wanted to respond with a xkcd-style graph, but I couldn't manage it. Everything I drew looked perfect, and I don't have enough command over ...
74
votes
4answers
14k views

1 Plot, 2 Scale/Axis

I would like to plot those two datasets on top of each other. But they have very different range on the $y$ axis. How can I have two different axis? I found the following on the help menu but quite ...
72
votes
2answers
5k views

How to manipulate 2D plots?

When it comes to visual analysis, large datasets or data with intricate internal details often makes plotting in 2D useless, as the outcome is either just a fraction of the full dataset, or no details ...
53
votes
5answers
4k views

ListPlot: Plotting large data fast

Mathematica produces fantastic-looking graphics, but it can be slow on large data sets. Here is an example for a (random) time series: ...
44
votes
4answers
4k views

How can I generate this “domain coloring” plot?

I found this plot on Wikipedia: Domain coloring of $\sin(z)$ over $(-\pi,\pi)$ on $x$ and $y$ axes. Brightness indicates absolute magnitude, saturation represents imaginary and real magnitude. ...
44
votes
4answers
12k views

Creating legends for plots with multiple lines?

So I have a graph with multiple lists, for e.g. data = {{1,2}, {3,4}, {3,5}, {2,3} . . .} If I then do ...
42
votes
4answers
5k views

How to make a 3D globe?

There are many ways to create a 3D Earth that is rotatable (see here, here, related here), but most of them have some drawbacks. These issues mainly stem from either ...
41
votes
5answers
5k views

How do I plot coordinates (latitude and longitude pairs) on a geographic map?

I'm attempting for the first time to create a map within Mathematica. In particular, I would like to take an output of points and plot them according to their lat/long values over a geographic map. I ...
39
votes
5answers
2k views

Vary the thickness of a plotted function

I know, that I can change the color of a function with the help of PlotStyle: Plot[Sin[x], {x, 0, 3 Pi}, PlotStyle -> {Green, Thickness[0.01]}] I also know, ...
39
votes
4answers
2k views

How to visualize 3D fit

I have a data set of x,y,z values and I fit a function of x,y to the data. This works, but I can't come up with a nice way to ...
39
votes
3answers
2k views

Plot draws list of curves in same color when not using Evaluate

This example comes from the Mathematica documentation for Plot under Basic Examples. Can someone please explain why these are each plotted as a different color in ...
37
votes
1answer
1k views

Constructing election cartograms?

I found this pretty neat page showing cartograms for the US elections and I don't really know how to get started doing these graphics in Mathematica. For those who don't know, a cartogram is a map in ...
37
votes
1answer
529 views

Is it possible to define new PlotTheme?

In version 10 one can define, say, $PlotTheme = "Scientific" Which changes the appearance of all plots. This is fantastic because on the one hand, I can have ...
36
votes
4answers
2k views

Point Renderings Slightly Off in Mathematica

The Mathematica code ...
36
votes
4answers
3k views

How to change the default ColorData used in Mathematica's Plot?

This question leads on from the recent question What are the standard colors for plots in Mathematica? There it was determined that the default color palette used by ...
36
votes
1answer
1k views

Mathematica2tikz an equivalent function

Matlab2tikz is script which generates native Latex/Tikz figures from MATLAB. I am looking for an equivalent method/function in Mathematica to generate similar results. Obviously the final script may ...
35
votes
3answers
816 views

Why are my plots displaying behind the axes?

I need to create graphs with light gray axes and black lines. All of my plots display behind the axes. How can I make the plots display over the axes? ...
31
votes
6answers
1k views

How to plot contours in the faces of a cube

I'm trying to plot contours of a function f[x,y,z] on the faces of a cube as the example below, which represents the domain of this function. Is there a way to do ...
31
votes
2answers
4k views

Plotting implicitly-defined space curves

It is known that space curves can either be defined parametrically, $$\begin{align*}x&=f(t)\\y&=g(t)\\z&=h(t)\end{align*}$$ or as the intersection of two surfaces, ...
30
votes
8answers
2k views

Can I make a plot with gradient filling?

Bloomberg has a standard plot style for its line plots in which it uses a gradient filling. Actually the way this seems to be constructed is that a gradient from the ymax to ymin is used as the ...
30
votes
7answers
12k views

Labeling individual curves in Mathematica

I need to create a plot for export and inclusion in a report. Is there a better way to label curves than PlotLegends? From what I've read and my personal ...
30
votes
3answers
1k views

xkcdConvert routines perform slower in Mathematica 9

I am experiencing some rather large performance decreases in Mathematica version 9.0 using the xkcd-styled plotting routines. I had used the xkcdConvert code ...
30
votes
5answers
3k views

How to plot Venn diagrams with Mathematica?

How does one plot Venn diagrams with Mathematica? I've searched quite a bit and I've found one source at MathWorld which provides the source code for doing them. But I don't understand this code, can ...
30
votes
3answers
1k views

Implementing hexagon binning in mathematica

Hexagon bin plots are a useful way of visualising large datasets of bivariate data. Here are a few examples: With bin frequency indicated by grey level... ..and by glyph size There are packages ...
29
votes
3answers
4k views

How does one set a logarithmic scale in a ContourPlot?

How does one set a logarithmic scale for both x and y axes in ContourPlot in Mathematica?
28
votes
4answers
3k views

How can I make an X-Y scatter plot with histograms next to the X-Y axes?

I just saw a nice plot there: How could I implement that in Mathematica — by which I mean the plot structure, not so much the styling.
28
votes
3answers
857 views

No warning when extrapolating with Plot

One of the most annoying "features" of Mathematica is that the Plot family does extrapolation on InterpolatingFunctions without ...
27
votes
4answers
4k views

Density plot on the surface of sphere

I would like to make density plots of a list of (size 2 or 3) spherical harmonics on the surface of a sphere. I'd like to plot it so that each element of that list is using a different color (red ...
27
votes
4answers
2k views

Is it possible to speed up ContourPlot on multi-core machines?

It is not very difficult to face a function for which ContourPlot works too slow. And it seems natural that this function can be parallelized well. Anyway, naive ...
27
votes
3answers
4k views

ListPlot with each point a different color and a legend bar

I would like to generate a ListPlot with the color for each point in the plot corresponding to a particular value (not associated with the position in the plot). I'd then like to add a legend ...
27
votes
3answers
724 views

How can I make points “glow”?

I have a set of points in the plane which I would like to have "glow". I would like for each point to glow individually and I would also like some increase in the intensity corresponding to an ...
27
votes
4answers
2k views

Saner alternative to ContourPlot fill

I am producing a large number of ContourPlot objects, which when exported generate notoriously large PDF files because it basically generates lots of little ...
26
votes
6answers
2k views

Extruding along a path

I'm trying to render a 3D image of a path by extruding a circular cross-section along the path, creating a "snake-like" path. Here is an image I found to illustrate: I can't seem to figure out if ...
26
votes
2answers
1k views

Specific initial sample points for 3D plots

PlotPoints lets you determine how many sample points you want in each direction, but sometimes I want specific ones. For Plot ...
26
votes
3answers
5k views

ShowLegend values

How do I get ShowLegend to put the max and min values that a plot produces. for example, when using ListDensityPlot, with ...
26
votes
3answers
826 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 ...
25
votes
2answers
983 views

Sketch-type graphics with transparency and dashed hidden lines?

I'd like to create transparent graphs like the following from P1095, Calculus 6th Ed, by James Stewart. Can Mathematica accomplish this? By "transparent," I mean the ability to see the interior, ...
25
votes
2answers
5k views

3D heatmap density plot

I have a set of data that looks like {{x1, y1, z1}, {x2, y2, z2}, ...} so it describes points in 3D space. I want to make a heatmap out of this data. So that points ...
25
votes
4answers
313 views

How can the behavior of InterpolationOrder->0 be controlled?

In ListPlot and Interpolation, the option InterpolationOrder->0 uses two different ...
25
votes
2answers
906 views

Aligning plot axes in a graphics object

I need to align the y-axes in the plots below. I think I'm going to have to do some rasterizing and searching for vertical lines, then vary x and ...
25
votes
1answer
454 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, ...
24
votes
3answers
8k views

Marking points of intersection between two curves

I'm trying to illustrate the solutions numerically and graphically for an equation such as Tan[x] == x. I think I did everything ok except I wanted to mark each ...
24
votes
7answers
887 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 ...
24
votes
5answers
1k views

How can I make a 2D line plot with a drop shadow under the line?

You often see plots styled like this (ignore the bar chart component): i.e. with a small drop shadow under the line. (I'm assuming Excel is being used to produce these plots). How could you make ...
24
votes
2answers
2k views

Generating a broken or snipped axis in ListPlot

I have two data sets, data1 and data2. For example: ...
24
votes
4answers
681 views

How can the opacity of a dense data set be automatically chosen?

The problem In a dense data set plotted with opaque points, data points can pile on top of each other. This can cause serious problems with the interpretation of the plots. I'll use as an example a ...
24
votes
3answers
2k views

Avoiding white lines inside filled area in RegionPlot exported as PDF or PS

When doing a RegionPlotand then exporting (or saving from the front end) as PDF or EPS, there are small white lines in the filling of the region. Here's an example ...
24
votes
1answer
520 views

What is wrong with triangle PlotMarkers in v.10.0.0?

Bug introduced in 10.0.0 and fixed in 10.0.1 In Mathematica 10.0.0 we have built-in graphical triangle PlotMarkers. Let us look closer on them: ...
23
votes
7answers
1k 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 ...
23
votes
7answers
4k views

Changing the background color of a framed plot

I frequently generate framed plots like this: Plot[Sin[x], {x, 0, 2 \[Pi]}, Frame -> True] Is there an easy way to change the background color of the framed ...