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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100 votes
4 answers
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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 ...
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  • 1,125
46 votes
9 answers
12k 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 ...
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  • 4,675
156 votes
12 answers
51k 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 ...
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  • 5,339
75 votes
4 answers
14k 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, $$\begin{align*}F(x,y,...
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32 votes
2 answers
3k views

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,...
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  • 1,305
56 votes
2 answers
7k 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 ...
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  • 33.6k
68 votes
5 answers
30k 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 ...
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42 votes
5 answers
47k views

Plotting Complex Quantity Functions

Trying to plot with complex quantities seems not to work properly in what I want to accomplish. I would like to know if there is a general rule/way of plotting when you have complex counterparts in ...
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  • 1,699
29 votes
5 answers
7k 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 ...
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  • 1,170
67 votes
4 answers
6k views

Point Renderings Slightly Off in Mathematica

The Mathematica code ...
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141 votes
3 answers
20k 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 ...
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50 votes
2 answers
3k views

High-quality RegionPlot3D for logical combinations of predicates

Unlike RegionPlot, RegionPlot3D copes poorly with logical combinations of predicates (...
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52 votes
3 answers
10k views

Generating a broken or snipped axis in ListPlot

I have two data sets, data1 and data2. For example: ...
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  • 9,415
99 votes
2 answers
6k 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 ...
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  • 7,097
48 votes
3 answers
26k views

How to change plot style or other options after it was created

For example: p = Plot[Sin[x], {x, 0, 1}] Is it possible to write options in Show to change the curve's color for example into ...
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  • 15.6k
26 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, ...
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  • 4,675
29 votes
2 answers
1k 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 ...
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  • 1,195
70 votes
3 answers
7k 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 ...
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  • 22.5k
47 votes
7 answers
6k 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, to create a "snake-like" path. Here is an image I found to illustrate: I can't seem to figure out if ...
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  • 9,472
36 votes
1 answer
25k views

Plot, extract data to a file

I need to save data that Mathematica uses inside the Plot command. The format that I would like to have is: x1 y1 x2 y2 ..... ...
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  • 869
631 votes
7 answers
190k views

xkcd-style Plots

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 ...
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  • 6,658
78 votes
4 answers
16k 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 ...
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11 votes
1 answer
4k views

White regions in DensityPlot?

When I try to supply my own ColorFunction Mathematica seems to partially ignore it, and the white color "burns through" if the function is too "sharp&...
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42 votes
2 answers
4k 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 ...
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43 votes
3 answers
64k views

Plotting a Phase Portrait

I'm trying to plot a phase portrait for the differential equation $$x'' - (1 - x^2) x' + x = 0.5 \cos(1.1 t)\,.$$ The primes are derivatives with respect to $t$. I've reduced this second order ODE to ...
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  • 587
34 votes
3 answers
5k views

Plot a piecewise function with black and white disks marking discontinuities

Let's say I'd like to plot Sign[x + 0.5]: Plot[Sign[x + 0.5], {x, -1, 1}] Mathematica will give this: This plot does not ...
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  • 465
24 votes
2 answers
2k views

Easy way to plot ODE solutions from NDSolve?

Inspired by the closed question Beautify a NDSolve Graph ! and a comment someone made to me not too long ago: Is there some quick way to plot NDSolve results ...
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  • 212k
71 votes
3 answers
4k 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, ...
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44 votes
5 answers
5k 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 ...
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  • 10.6k
43 votes
3 answers
6k 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 ...
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  • 18.8k
45 votes
5 answers
13k 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'...
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  • 5,280
27 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 ...
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  • 2,590
15 votes
3 answers
4k views

Why is ContourPlot not displaying this curve?

I am using the general form of a second-degree plane curve: $$Ax^2+2Bxy + Cy^2+2Dx + 2Ey + F = 0$$ I want to randomly generate plane curves of this form, so I am using ...
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  • 2,064
11 votes
4 answers
7k views

Problem with ContourPlot

I tried these ...
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  • 123
21 votes
1 answer
1k views

Using Evaluate and Evaluated -> True in Plot

A few use cases: (1) This, as expected, returns (almost) immediately: f[x_?NumericQ] := Evaluate[(Pause[1]; x)] Plot[f[x], {x, 0, 1}] (2) This takes ...
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33 votes
3 answers
9k 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 ...
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  • 1,481
45 votes
5 answers
2k views

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

In ListPlot and Interpolation, the option InterpolationOrder->0 uses two different ...
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30 votes
5 answers
6k 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 ...
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  • 403
91 votes
2 answers
48k 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 ...
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  • 6,902
74 votes
4 answers
13k 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 ...
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30 votes
2 answers
5k 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, ...
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  • 1,535
16 votes
3 answers
34k views

How can I transpose x and y axis on a Plot?

This question has appeared in various forms online, but I have not yet seen a complete answer, so I am posting it here. More specifically, suppose I have a function ...
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12 votes
2 answers
12k views

Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen ...
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  • 131
16 votes
3 answers
3k views

Plots quality during manipulation

I apologize if this is a obvious question and answer, I don't often use Mathematica to display plots or graphics in general to be honest. So, I was tutoring my cousin yesterday in relation to Polar ...
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  • 163
89 votes
5 answers
14k 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. ...
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  • 264k
33 votes
3 answers
8k views

I'd like to display field lines for a point charge in 3 dimensions

I'd like to display field lines for a point charge in 3 dimensions. Not a force field (short arrows) but continuous field lines that start on the charge.
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18 votes
6 answers
9k views

Plotting complex numbers as an Argand Diagram

I have the function: $F(\omega) = \frac{5\; - \;i\;\omega}{5^2\; +\; \omega^2}$ When $\omega$ has the values : $\{ -7, -2,\; 0,\; 2,\; 7\}$ How would I plot the Argand diagram in Mathematica? Or ...
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  • 335
14 votes
5 answers
10k views

How to plot periodic function's graphic?

How to plot periodic function's graphic? For example, $f(t) = t$ when $-5<t<5$ and $f(t+10) = f(t)$. ...
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  • 435
17 votes
3 answers
1k views

Problem with ParametricPlot

I'm plotting gear curves, and I observe that for some parameter values ParametricPlot[] does not plot all the teeth: ...
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  • 3,399
53 votes
8 answers
8k 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 <...
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