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Questions tagged [visualization]

Data visualization is the study of the visual representation of data, meaning "information that has been abstracted in some schematic form, including attributes or variables for the units of information"

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How to improve quality of this Plot3D

I tried driving up PlotPoints and MaxRecursion but the intersections look weird, is there some other trick I can do? plot = Plot3D @@ {Abs[Sqrt[x] + Sqrt[y]] /. {x -> Sin[2 x], y -> Cos[2 y]}, {x, -2, 2}, {y, -2, 2}, PlotPoints -> 200,…
Yaroslav Bulatov
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One-dimensional heatmap

I want to plot a heatmap of a set of real points of the interval [0,1] - i.e., to display their linear density in the sense of a smoothed histogram. The idea I have come up so far is to use the heatMap function introduced here: heatMap[data_, opts :…
Frederik Ziebell
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Working with country flags in Mathematica

So the following on social media recently makes me wonder - What is the most elegant way to create a table of rank-1 decompositions of country flags in Mathematica? Edit The question is vague, but a nice side-effect would be a pedagogical…
Yaroslav Bulatov
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Drawing a second set of coordinate axes on the same plot

What is the right way to visualize a second set of "rotated" coordinate axes on a plot? As an example, for the diagram below, I want to show the choice of coordinate system which makes the distribution centered at 0 with diagonal covariance matrix.…
Yaroslav Bulatov
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Visualizing changing histogram over time

I'm looking for a way to visualize evolution of histogram over time. You have $n$ timesteps, each with its own set of data, and I want to create $n$ histograms and visualize them as a density plot. Basically I want to demonstrate how the…
Yaroslav Bulatov
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How to get contour levels of picked automatically by ContourPlot?

ContourPlot picks a nice set of curves as level curves by default. I'm trying to use the set of curves as mesh curves for corresponding 3D plot, can anyone suggest how I can get those levels extracted out of contour plot? f[x_, y_] := Log[(1 - x)^2…
Yaroslav Bulatov
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Anyone recognize this heatmap?

Anyone know the origins of the attached heatmap/daylight overlay? I see it on the Mathematica homepage all the time and I even saw it once on Wolfram|Alpha launch video. I know there are ways to generate both heatmaps and daylight overlays, but does…
Cory Walker
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How to visualize a function with four arguments?

If I have a function, f[a, b, c, d], with a, b, c and d varying between 0 and 1 continuously. What would be the best way to explore this function visually with Mathematica? Is evaluating multiple Plot3D expressions with two of the four arguments…
Sulli
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ListPlot3D with individual colours for each point that blend

If I have a list of points {x,y,z} and for each point an rgb colour, e.g.: points={{0,0,0,1,0,0}, {1,0,0,0,1,0}, {1,1,1,0,0,1}} how can I plot the surface covering the given points (ListPlot3D) and colour it with blends of the individual colours? In…
piiipmatz
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Clickable Bounded Diagram

Suppose I make a BoundedDiagram via the following code Needs["ComputationalGeometry`"]; data2D = RandomReal[{0, 10}, {10, 2}]; b1 = {{0, 0}, {11, 0}, {11, 11}, {0, 11}}; convexhull = ConvexHull[data2D]; delval =…
Noon Silk
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Map 2D data to a room plan?

I need to map 2D measures taken at regular intervals in a room on the room floor plan in order to create a "heat map". Something like that: Taken from https://www.purrmetrix.com/category/advice/ -- for illustration purpose only The room map can…
Sylvain Leroux
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Placing a contour line at y when f(x)>=y

I have an issue that the plot below drops the contour at 0. I suspect this case is special because my function is lower bounded by 0. As a work-around, I changed 0 to 0.01, but it looks jagged, any suggestions? ContourPlot[0.5 (x y - 4)^2, {x, 0,…
Yaroslav Bulatov
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Putting a 2D plot into a 3D plot

I'm trying to put a 2D plot (ContourPlot) into a 3D plot. I started by adapting my recipe from 8 years ago but I'm finding it to be quite user unfriendly/hard to use. For one, it's using Rasterize so additional tweaking is needed to get rid of…
Yaroslav Bulatov
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Dataset on a sphere

Is it possible do a similar graphic (and animation) with Mathematica? (Please see the example of dataset on a sphere in this link). To see the rotating sphere, click on the "View the Interactive Sphere" button.
locometro
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Visualizing high-dimensional sphere packing

I'm looking for an elegant way to visualize the following problem -- allegedly, if you put $2^d$ spheres in the corners of the $d$-dimensional cube and inscribe a sphere in the center, for $d>9$, the inscribed sphere will "poke out" from the sides…
Yaroslav Bulatov
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