Questions tagged [plotting]
Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.
2,825
questions
108
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 ...
- 1,205
50
votes
9
answers
13k
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 ...
- 4,795
161
votes
12
answers
55k
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 ...
- 5,529
76
votes
4
answers
15k
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,...
- 124k
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,...
- 1,345
56
votes
2
answers
8k
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 ...
- 34.1k
69
votes
5
answers
31k
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 ...
- 1,725
42
votes
5
answers
48k
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 ...
- 1,719
69
votes
4
answers
6k
views
30
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 ...
- 1,111
145
votes
3
answers
22k
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 ...
- 46.6k
75
votes
3
answers
8k
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 ...
- 22.9k
51
votes
2
answers
4k
views
High-quality RegionPlot3D for logical combinations of predicates
Unlike RegionPlot, RegionPlot3D copes poorly with logical combinations of predicates (...
user484
104
votes
2
answers
7k
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 ...
- 7,317
55
votes
4
answers
11k
views
Generating a broken or snipped axis in ListPlot
I have two data sets, data1 and data2. For example:
...
- 10.4k
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 ...
- 9,572
48
votes
3
answers
27k
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 ...
- 16.9k
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
3
answers
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,
...
- 4,795
37
votes
1
answer
28k
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
.....
...
- 889
83
votes
4
answers
17k
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 ...
- 19.5k
641
votes
7
answers
193k
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 ...
- 6,818
47
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 ...
- 7,750
13
votes
1
answer
5k
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&...
- 330
46
votes
3
answers
71k
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 ...
- 617
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 ...
- 233k
44
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 ...
- 30.7k
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 ...
- 464
45
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 ...
- 10.8k
72
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, ...
user9983
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 ...
- 163
46
votes
5
answers
14k
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'...
- 5,340
29
votes
6
answers
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 ...
- 2,660
21
votes
1
answer
2k
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 ...
- 115k
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 ...
- 2,124
12
votes
4
answers
8k
views
34
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 ...
- 1,571
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, ...
- 1,585
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
96
votes
2
answers
56k
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 ...
- 7,112
91
votes
5
answers
15k
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.
...
- 270k
76
votes
4
answers
14k
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 ...
- 46.6k
20
votes
3
answers
37k
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
...
- 335
13
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 ...
- 141
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.
- 985
18
votes
6
answers
10k
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 ...
- 335
17
votes
3
answers
2k
views
Problem with ParametricPlot
I'm plotting gear curves, and I observe that for some parameter values ParametricPlot[] does not plot all the teeth:
...
- 5,116
15
votes
5
answers
11k
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 $f(t+10) = f(t)$.
...
- 595
7
votes
5
answers
4k
views
sliding a tangent line along a curve
I am confused by Dynamic. I am trying to slide a tangent line along a curve, without using DynamicModule, so that I can include ...
- 107
54
votes
5
answers
16k
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 ...
- 19.5k