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

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8
votes
1answer
529 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
965 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
679 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
897 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
805 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
576 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
550 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
233 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: ...
36
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
4k 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. ...