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 construct a treemap using non-rectangles?

I've written the standard version of a tree map (a graphic that shows nested data) and I'm looking to improve on this layout by switching to different types of polygons or perhaps circles. Can anyone ...
43
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2answers
3k views

How to show solid bodies using volumetric rendering?

Note: This question was asked when Mathematica 8 was latest release. Version 9 has built-in support for volume rendering through Image3D. There's an example on ...
40
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4answers
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How to visualize 3D fit

I have a data set of x,y,z values and I fit a function of x,y to the data. This works, but I can't come up with a nice way to ...
38
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5answers
4k views

How to plot Venn diagrams with Mathematica?

How does one plot Venn diagrams with Mathematica? I've searched quite a bit and I've found one source at MathWorld which provides the source code for doing them. But I don't understand this code, can ...
38
votes
3answers
1k views

Visualizing the difference between two sequences (strings)

I'm trying to develop a way of comparing two sequences (probably originally text, such as text writing or source code, possibly converted to lists). As a familiar example, consider the revisions ...
37
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5answers
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Creating ghost trail effects

Does anyone know how to create a ghost trail effect? For a simple example look at this screenshot: You can find the actual animation here. What I would ultimately like to see it happen is to make ...
37
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2answers
1k views

Möbius transformations revealed

Möbius Transformations Revealed is a short video that vividly illustrates the simplicity of Möbius transformations when viewed as rigid motions of the Riemann sphere. It was one of the winners in the ...
36
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6answers
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ColorData[“VisibleSpectrum”] is wrong?

I am trying to visualize the visible spectrum using the built-in ColorData["VisibleSpectrum"] function which "colors based on light wavelength in nanometers". But I ...
35
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6answers
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How to plot contours in the faces of a cube

I'm trying to plot contours of a function f[x,y,z] on the faces of a cube as the example below, which represents the domain of this function. Is there a way to do ...
35
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3answers
1k views

Implementing hexagon binning in mathematica

Hexagon bin plots are a useful way of visualising large datasets of bivariate data. Here are a few examples: With bin frequency indicated by grey level... ..and by glyph size There are packages ...
32
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4answers
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Homotopy Visualization

I noticed that both the lower cased 'i' and the Apple logo  are topologically equivalent to the disjoint union of two closed discs. I'd like to animate a homeomorphism from the left to the right, ...
32
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4answers
1k views

Is there an easy way to use Matteo Niccoli's perceptual color maps for 2D plots in Mathematica?

I have been using the ubiquitous Jet color palette for 2D plots for some time now, and don't really care for it. Then I came across the series of blog posts, The rainbow is dead...long live the ...
27
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5answers
4k views

Showing the correlation of two variables using a plot

I have a list of $\{x_i,y_i\}$ pairs and I want to show that $x_i$'s and $y_i$'s have positive correlation. The result of ...
26
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7answers
986 views

Graphical representation of a moving sound source

Some explanation since I have got a specific and another more open-ended question: I used two microphones in a 90° arrangement (see picture below) to capture sound from a source moving around the room ...
24
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4answers
857 views

How can the opacity of a dense data set be automatically chosen?

The problem In a dense data set plotted with opaque points, data points can pile on top of each other. This can cause serious problems with the interpretation of the plots. I'll use as an example a ...
23
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6answers
4k 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 ...
23
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3answers
1k views

Visualisation of a recursive function

Is there a way to nicely visualize recursive functions? (diagrams/plots) More specifically I'm looking for a way to make contrast (visually) between e.g. the cosine function which if continuously ...
22
votes
1answer
405 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 ...
21
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2answers
1k views

How to build a bvh (a motion capture file format) player in Mathematica?

How to build a bvh player that can be used to visualize human motions in Mathematica? Any idea or sample code would be appreciated. ...
20
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2answers
1k views

Weather Maps with Mathematica

I've been trying to set up a weather map with Mathematica similar to what NOAA publishes in their website. So far I've been successful to bring the data over and extend it across the whole picture ...
20
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3answers
2k views

How can I make a heatmap of a days in year?

I know Mathematica has a ListPlot for time series but does it have a function for visualizing a list of dates as a heat map like this: This idea is from D3, check it out here.
20
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2answers
373 views

Wind Map Artwork

I would like some help generating an image like the one seen below. The image above is an art piece called Wind Map by artists Fernanda Viégas and Martin Wattenberg. I would like to take wind ...
20
votes
1answer
557 views

How can we create Randolph diagrams in Mathematica?

I have become fascinated with Randolph Diagrams and was wondering how we would create the diagrams from logical sequences using Mathematica? It looks like it would be a combination of logic and ...
20
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3answers
461 views

How can I regroup elements in a list into a tree based on their values?

I have a list of elements in an outline, here is an example that is only 3 levels deep: ...
19
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5answers
765 views

How to visualize the voting choices in the moderator elections?

I'm trying to use Mathematica to create some visual representations of the votes cast in the recent Mathematica-StackExchange moderator elections. (Not the vote-counting system itself, OpenSTV, but ...
18
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2answers
1k views

How can I draw a 3D cross-section of a 3-torus embedded in 4D Euclidean space?

I have a $3$-torus ($\mathbf S^1\times\mathbf S^1\times \mathbf S^1$) embedded in 4D Euclidean space. How can I draw the cross-section of this $3$-torus cut by a 3D Euclidean space in an arbitrary ...
18
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3answers
2k views

Visualizing a Complex Vector Field near Poles

I've been playing around with a visualization technique for complex functions where one views the function $f: \mathbb{C} \rightarrow \mathbb{C}$ as the vector field $f: \mathbb{R^2} \rightarrow ...
18
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1answer
178 views

Systemic bugs in GraphPlot and related functions such as TreePlot and TreeForm

Bug introduced in 7.0.1 or earlier and persisting through 10.2.0 I believe I have come across a rather curious bug in TreeForm: ...
18
votes
1answer
614 views

Mouse motion heat map - live visualization and analysis

Mouse motion heat map is an great way to study spatial attention distribution, styles of movement, reaction, etc. I am trying to design a code that visualizes such heat map. The requirements: 1) It ...
17
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4answers
3k views

Spherical density plot of data set

I have a somewhat large number of 3-dimensional unit vectors ( ~ 100 000 unit vectors), and I am trying to visualize their distribution. First thing I tried was ...
17
votes
2answers
2k views

Visualizing vector spherical harmonics

I have painstakingly derived the vector-spherical harmonics $\mathbf{V}_{J,\,M}^\ell(\theta, \phi)$, which are the generalization of ordinary spherical harmonics $Y_\ell^m(\theta, \phi)$ to vector ...
17
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2answers
429 views

Visualization: elliptical insights into data sets…

I was recently reading the following paper on visualization techniques using ellipses to gain statistical insights. Elliptical visualization for looking at correlations has briefly been touched on ...
17
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1answer
196 views

Visualizing Type System Operations

With the introduction of Dataset in version 10, Mathematica acquired a static type-checking subsystem. A fair number of dataset-related questions here on MSE ...
16
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2answers
2k views

What is the best way to create a correlation matrix heatmap with values?

This may have been asked somewhere else, but I couldn't find an answer by searching. I'm trying to create a correlation table that colors the background behind the numbers as a heatmap. I've been ...
16
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3answers
878 views

3D view of a route shown on a map

You should have already seen such a thing, specially in documentaries about ancient life: the movement of a tribe is shown on an ancient map along a route with a dashed arrow. I want to do the same ...
16
votes
2answers
1k views

Higher order periodic interpolation (curve fitting)

I have a list of points in 3D, and I want to get a smooth interpolation or curve fit (it is more for illustration) of these points such that the first and second derivatives at the start and end ...
16
votes
2answers
471 views

Better way to visualize cylinder puzzle solution

The above puzzle has been a recent source of amusement in my clique. I decided to provide a visualization to motivate solution (here): My code: ...
16
votes
1answer
483 views

Gravatars/identicons with Mathematica

The default avatar/identicon is based on an MD5 hash of your e-mail address. With some e-mail providers (e.g., GMail) the address gmailuser+foo@gmail.com is still ...
16
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0answers
2k views

How to visualize Riemann surfaces?

In WolframAlpha we can easily visualize Riemann surfaces of arbitrary functions, can we plot the Riemann surface of an arbitrary function using Mathematica and ...
16
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0answers
512 views

How can I trace a functional expression's evaluation visually?

Ok, so the goal is to visualize the execution of this expression foo /@ {3 + 1, bar /@ {1 + 2, {4 + 7}}} in the following fashion using nested rectangles with ...
15
votes
2answers
977 views

How can I create facetted histograms?

I love Mathematica, and I would love to be able to use it for all of my data analysis tasks, but there is one type of analysis which I find almost trivial in R, and I have no idea how to approach in ...
14
votes
2answers
541 views

How to connect discrete points and make them become continuous curve?

Given that I have two variables $\theta,t$, for the varible $t$, $\theta$ always owns several values. Namely, $$\{t,\theta_1,\theta_2,\theta_3,\theta_4...\}$$ where $t$ in the interval$[0,1]$ and ...
14
votes
2answers
555 views

How can I generate a legend for a BubbleChart?

Is there a way to make a nice disk radius legend (with linear or log scale) for a BubbleChart[]? Something like the following example should be built in!
14
votes
3answers
1k views

Is it possible to position ticklabels on the negative y axis on its right side?

Is it possible to position ticklabels on negative $y$ axis on its right side? Ticklabels on positive $y$ axis should remain as usual:
14
votes
2answers
4k views

Plotting vectors originating from the origin in 3D

I have an array of data with 3D elements. Ex: x = {{1,2,3}, {3,4,5}, {5,6,7}}. I want to show this data in 3 dimensions, such that each point in the space is shown ...
14
votes
1answer
959 views

Labelling ArrayPlot Charts

I have been using ArrayPlot to show off some information. Currently, my datasets are like so: ...
13
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3answers
368 views

Graphics3D: Opacity limitations

Trying to make a better-looking globe model, I start off with something like this To enhance the 3D effect, I want the lines further from the eye to be "grayer" than the lines closer to the eye, as ...
13
votes
3answers
414 views

Representing a Stencil of a Finite Difference Operator with Mathematica's Graphics3D

I have the following finite difference operator: $$ Lu_{ijk}:= du_{ijk} +c(u_{i-1,j,k} + u_{i+1,j,k} + u_{i,j-1,k} + u_{i,j+1,k} + u_{i,j,k-1} + u_{i,j,k+1})\\ -u_{i-1,j+1,k}-u_{i-1,j-1,k} - ...
13
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3answers
478 views

Visualizing directories

How do I plot the content of a directory and all its subdirectories into infinity using TreeForm? I've tried using a mix of ...
13
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1answer
884 views

Plotting graphics as ASCII plots

I'm occasionally in a situation where I have to use Mathematica on the terminal. I'd like to visualize the solutions I get from NDSolve, but when I use ...