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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40
votes
9answers
5k 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 ...
40
votes
3answers
31k views

How can I plot implicit equations?

If you enter the following into Wolfram | Alpha, you get nice graphs: graph 4 x^4 + y^2 = 2 How do you do this in Mathmatica? I realize that these are not ...
40
votes
5answers
1k 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 ...
39
votes
5answers
20k views

Plotting Error Bars on a Log Scale

I have a plot with ErrorListPlot ...
39
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 ...
38
votes
3answers
60k 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 ...
38
votes
4answers
11k views

How to get StreamPlot to draw many hundreds of streamlines?

For artistic reasons, I want to draw an extremely dense StreamPlot with something like a thousand streamlines. I tried setting ...
38
votes
3answers
2k views

How to Make a Sankey Diagram

I have two lists start = {{1},{1},{1},{2},{3},{1}} end = {{1},{2},{2},{3},{3},{1}} And I want to create a Sankey diagram. Which looks something like So, ...
38
votes
3answers
13k views

Logarithmic scale in a DensityPlot and its legend

I was recently faced with the task of creating a DensityPlot with a logarithmic colour scale, and with providing it with an appropriate legend. Since I could not find any resources to this effect on ...
37
votes
4answers
5k views

How to create a wind rose with Mathematica?

I am trying to plot wind rose in Mathematica, but have no idea how to do this. Any suggestions ?
37
votes
4answers
2k views

How to implement the sample-point process like the built-ins of Mathematica?

Consider this: pts = {{0, 0}, {1, 1}, {2, -1}, {3, 0}, {4, -2}, {5, 1}}; f = BSplineFunction[pts] I can use ParametricPlot to ...
37
votes
2answers
1k views

How to generate a picture like this?

How to generate a picture like the following (from Paolo Čerić's blog)? I'd like the surface of the manifold to randomly distort.
36
votes
2answers
9k views

Trying to visualize the Collatz conjecture

I happen to have this collatz collatz[x_, y_] := If[x == 3*y || x == 2*y + 1 || y == 3*x || y == 2*x + 2, 2, 0] So i want a visual 3D adjacency graph of my ...
36
votes
2answers
17k 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 ...
36
votes
2answers
18k 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 ...
35
votes
7answers
16k views

Changing the background color of the framed region of a plot

I frequently generate framed plots like this: Plot[Sin[x], {x, 0, 2 π}, Frame -> True] Is there an easy way to change the background color of the framed ...
35
votes
6answers
30k views

Flipping axis on a plot

I want to make a 2D plot where the x-axis is flipped so the higher numbers are on the right and lower numbers are on the left. I've managed to do it by flipping the data and making new ...
35
votes
1answer
2k views

Drawing Clifford Attractors in Mathematica

I came upon the "Clifford Attractor" today, which are equations of the form: $$x_{n+1}=\sin(a\ y_n) + c \cos(x_n)$$ $$y_{n+1}=\sin(b\ x_n) + d \cos(y_n)$$ They create some incredible images by ...
35
votes
1answer
5k views

How to generate image like QR code with Mathematica

How to generate such form of QR code which displays an image itself but is still scan-able?
35
votes
3answers
2k 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 ...
34
votes
3answers
2k views

Visualize an irrational number

I would like to visualize an irrational number like the square root of 2 with Mathematica. I found this visualization of Pi in the internet and wonder how this ...
34
votes
3answers
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 ...
34
votes
2answers
6k views

Joining and interpolating data points

I wonder what is the best practice for interpolating curves? Usually, I'm using BSplineCurve and adjusting SplineWeights so it ...
34
votes
2answers
2k views

Specifying non-conflicting PlotTheme options

A bug or limitation in 10.0.0 affects a few of these examples; it was resolved in 10.1.0. I am trying out Mathematica 10 on https://programming.wolframcloud.com. ...
34
votes
3answers
5k views

How to plot planar graphs as such?

A planar graph is a graph that can be drawn in the plane such that no two edges cross. For example, the graph ...
33
votes
7answers
56k views

How can I plot the direction field for a differential equation?

I'd like to plot the graph of the direction field for a differential equation, to get a feel for it. I'm a novice, right now, when it comes to plotting in Mathematica, so I'm hoping that someone can ...
33
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 ...
33
votes
3answers
1k 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 ...
33
votes
2answers
2k views

How does Plot work?

I considered the following function: sin[x_] := Module[{}, Print["x=", x]; Sin[x] ] in Mathematica. Next, I tried to plot it using: ...
33
votes
4answers
3k views

How to make a 3D topographic globe?

I've made some attempt with this dataset of elevation. But I have some trouble with ListSurfacePlot3D, which can not show the globe correctly: And I've checked ...
33
votes
3answers
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 ...
33
votes
1answer
10k views

How to export transparent raster plots?

Is there an easy way to get transparent plots that work with Save Graphic As using a compatible file format such as GIF or PNG? I tried ...
33
votes
1answer
2k 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: ...
33
votes
1answer
1k 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 ...
32
votes
5answers
25k views

Remove tick labels, but retain tick marks in RegionPlot (and related functions)

I would like to remove the numbering on the axes of the following RegionPlot. I would like to keep the tick marks but drop the numbering, I haven't figured out how ...
32
votes
3answers
7k 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.
32
votes
4answers
6k views

Real Size Image Printing

I am generating a complicated graphics with Mathematica, but with objects of given sizes (e.g. a line of length 1 inch, between two points). I want to make sure that when I export the graphics, e.g. ...
32
votes
3answers
2k views

Can Mathematica produce manipulatable 3D plots for deployment on the web?

I have a 3D plot I produced in Mathematica and I would like to share it with the world in a way that allows my audience to rotate it and interact with it in the broadest possible way. I would like ...
32
votes
3answers
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 (...
31
votes
10answers
7k views

Shading between polar graphs

Since PolarPlot doesn't support Filling, what is the best way to shade or fill the a region between two polar curves? For ...
31
votes
4answers
4k views

Show density plot on a geographic map

I have a bunch of data points in the form of {latitude, longitude}. How can I plot their density on a US map? Single points on the map do not clearly show their ...
31
votes
4answers
5k views

Plotting large datasets

I have a lot of data (e.g., 64x8192), to plot and it consumes too much memory (more than 2 GB) causing Mathematica to return "no memory available". For example, ...
31
votes
7answers
4k views

Make legend same height as plot

One common style for density plots is to have a vertical legend that is the same height as the plot itself. Some example density plots from Google Image search: How can we make DensityPlots with ...
31
votes
2answers
1k views

Symbolic derivatives are being calculated numerically

Update: (1) By V11, not sure of the exact version, the derivative IntegerPart' has been given a symbolic definition. (2) The numeric derivative computed has changed ...
31
votes
2answers
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,...
31
votes
1answer
3k views

Visual representation of a Ranking over time (image provided)

[Disclaimer: I initially posted this question on stackOverflow 2 months ago and think it might be better suited for this forum (link to original question)] The graph below shows a ranking of ...
30
votes
11answers
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 ...
30
votes
4answers
13k views

How to insert a plot into another plot

I would like to know whether there is a way to insert a plot into another plot. I would like to do some plot from a function an then, inside this plot, in the right down corner add a smaller plot of ...
30
votes
4answers
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 ...
30
votes
3answers
2k views

Is it possible to draw really thin lines in Mathematica?

I want to have in Mathematica the same result I have in Python: I have this nice effect simply by using very thin lines. But it seems in Mathematica thickness property has some limit and i just got ...