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

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6
votes
2answers
417 views

Visualizing 3x3 spectrahedra

I'm trying to visualize the SDP cone over 3x3 matrices by plotting random 3d sections of it. Since each region is a system of inequality constraints, I'm using RegionPlot, but I think the plots would ...
13
votes
3answers
1k 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.
74
votes
4answers
13k 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 ...
16
votes
5answers
2k views

Plotting an implicit polar equation?

Mathematica can use ContourPlot to draw implicit Cartesian equations, but doesn't seem to have a similar function to plot an implicit polar equation, for example ...
8
votes
1answer
166 views

Using GraphHighlight interactively

I want to build a small GUI, where the user can select either a single edge or a single node of a graph. I got to this point: ...
8
votes
1answer
521 views

Antialiasing option behaves weird (polygon edges visible in ContourPlot)

When I set the Antialiasing option in Style, I get the followings: ...
14
votes
3answers
949 views

On coloring the faces of a surface differently with parameter-dependent colors

Old versions of Mathematica ($VersionNumber < 6) supported a particular syntax of ParametricPlot3D[] that allowed for ...
20
votes
6answers
3k views

Using ListPointPlot3D to simulate 2D plots moving in time

I wrote a 1D solver for the heat equation $u_t=u_{xx}$, and I can animate the solution using normal ListPlot command, where the x-axis is the rod length, and the ...
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: ...
16
votes
2answers
661 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 ...
21
votes
1answer
887 views

How to create regular (planar) graphs?

How to programmatically create and plot regular planar graphs with $k = 3, 4$ or $6$ (not hypercubes) and regular nonplanar graphs of $k = 8$ (see figure)? Note that what matters is the average ...
16
votes
2answers
786 views

RegionPlot is producing odd gaps, even for simple functions. Is there an option to prevent this?

When I use RegionPlot to plot the region between two functions, I get strange gaps in the resulting figure. Is there a way to prevent this from happening? For ...
20
votes
2answers
566 views

Is there a way to have Plot draw points on a function where the function is undefined as circles as in textbooks?

A very common feature of graphs of functions used throughout textbooks are simple indications, such as open circles, of the points at which a function is undefined. Is there a way to do this in ...
35
votes
4answers
2k views

Point Renderings Slightly Off in Mathematica

The Mathematica code ...
21
votes
2answers
524 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: ...
17
votes
2answers
225 views

Symbolic derivatives are being calculated numerically

Just found the following while debugging a problem. Mathematica is calculating the derivative of IntegerPart[x] in some odd way: ...
33
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 ...
14
votes
5answers
3k views

Plotting discontinuous functions without spurious vertical segments

Consider the plot of this discontinuous function: f[x_] := If[2 < x < 3, 0, x] Plot[f[x], {x, 0, 5}] I'd like to plot that without the vertical segments. ...