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

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508
votes
6answers
169k 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 ...
245
votes
6answers
118k views

How do I draw a pair of buttocks?

I'm trying to develop a function which 3D plot would have a buttocks like shape. Several days of searching the web and a dozen my of own attempts to solve the issue have brought nothing but two ...
100
votes
6answers
25k 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 ...
95
votes
2answers
9k 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 ...
68
votes
4answers
6k 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. ...
66
votes
2answers
2k views

Is it possible to define a 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 nice ...
62
votes
4answers
5k 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 ...
60
votes
5answers
7k 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: ...
56
votes
4answers
7k 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 ...
55
votes
4answers
20k 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 ...
53
votes
3answers
3k views

Python-style plots in Mathematica

I love making plots in Mathematica. And I love to spend a lot of time making high-quality plots that maximize readability and aesthetics. For most cases, Mathematica can make very beautiful images, ...
51
votes
4answers
7k views

Placing a ContourPlot under a Plot3D

I would like to combine a 3-dimensional graph of a function with its 2-dimensional contour-plot underneath it in a professional way. But I have no idea how to start. I have a three of these I would ...
50
votes
6answers
5k 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 ...
45
votes
3answers
1k views

How can we make publication-quality PlotMarkers without version 10?

Suppose that for certain reasons we are not yet using Mathematica version 10, or we have a version with buggy PlotMarkers. It is well known that the default markers ...
45
votes
4answers
3k views

Point Renderings Slightly Off in Mathematica

The Mathematica code ...
44
votes
3answers
7k 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, ...
44
votes
4answers
3k 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 ...
44
votes
2answers
2k 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, ...
44
votes
5answers
10k 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 ...
43
votes
5answers
4k 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, ...
43
votes
2answers
3k views

How to make this beautiful animation

How to make an animation of following gif in Mathematica? Edit: The animation shown above was created by Charlie Deck in processing. And how to make 3D analog? I tried first few steps ...
43
votes
7answers
24k 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 ...
43
votes
1answer
2k 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 ...
42
votes
4answers
6k 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 ...
42
votes
1answer
2k 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 ...
40
votes
3answers
1k 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? ...
39
votes
7answers
3k views

How to plot contours on 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 ...
39
votes
3answers
7k 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?
39
votes
2answers
4k views

Generating a broken or snipped axis in ListPlot

I have two data sets, data1 and data2. For example: ...
39
votes
2answers
3k views

Do I have to code each case of this Grid full of plots separately?

I have written some custom functions to draw multi-panel graphs like this one: It's done by passing a matrix of (custom) plotting functions to a MultiPanelGraph ...
39
votes
3answers
2k 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 ...
37
votes
4answers
4k views

Is there something like DensityPlot3D to visualize atomic orbitals?

I'm visualizing some hydrogen like atomic orbitals. For looking at plane slices of the probability density, the DensityPlot function works well, and with something ...
36
votes
6answers
3k views

How to plot ternary density plots?

How can I get a ternary density plot just like the plots from OriginLab? ContourPlot and DensityPlot seemingly can accept the ...
34
votes
4answers
4k 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.
34
votes
5answers
3k 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 ...
34
votes
3answers
8k 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 ...
33
votes
8answers
7k views

About multi-root search in Mathematica for transcendental equations

I have some questions for multiroot search for transcendental equations. Is there any clever solution to find all the roots for a transcendental equation in a specific range? Perhaps ...
33
votes
8answers
3k 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 ...
33
votes
4answers
3k 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 ...
33
votes
2answers
2k 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 ...
32
votes
3answers
949 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 ...
32
votes
5answers
843 views

How to examine the structure of Graphics objects

One difficulty I'm encountering in studying the structure of Graphics objects is that I have not yet found a way to print or display such structures that are ...
32
votes
4answers
708 views

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

In ListPlot and Interpolation, the option InterpolationOrder->0 uses two different ...
31
votes
6answers
3k 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 ...
31
votes
3answers
2k 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 ...
31
votes
2answers
10k views

What are the standard colors for plots in Mathematica 10? [duplicate]

Mathematica 10 release appears to have changed the default styling of plots: the most visible changes are thicker lines and different default colors. Thus, answers to this stackoverflow question are ...
31
votes
2answers
2k 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 ...
31
votes
3answers
3k 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 ...
31
votes
1answer
842 views

Terrifying performance decrease for contour/density plots in v10.1 -> 10.3

Bug introduced in 10.3 and fixed in 10.3.1 I setup for download a test dataset at http://www.inrim.it/~magni/cm.dat.gz (a set of 64800 triplets x,y,z). The behavior can be reproduced with the ...
30
votes
4answers
7k 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 ...