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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9
votes
3answers
470 views

Showing the empty space in a Graphics3D plot

I would like to be able to visualize the empty space in a Graphics3D plot. For example, if I plot hexagonally close packed spheres using something like: ...
4
votes
2answers
506 views

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 ...
23
votes
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 ...
38
votes
5answers
3k views

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 ...
3
votes
2answers
275 views

Horizontal Tree Layout? [duplicate]

I need to display arbitrary Expressions in TreeForm, but the standard vertical layout produces too many horizontally overlapping boxes. Am I doomed to rewriting ...
17
votes
1answer
486 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 ...
1
vote
1answer
189 views

show fit information on plot

After performing a fit in Mathematica, I would like to show the fitted parameters in a box on the plot showing the fitted function. How would I go about achieving that? Here is a MWE: ...
40
votes
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 ...
1
vote
1answer
113 views

Extracting Imported Information

What I want to do is to compare the relationship between the consumption of say beer and wine using scatter plots where each point designates the particular country (preferably named). I have tried to ...
4
votes
1answer
347 views

MATLAB to Mathematica: coneplot

Does Mathematica have a function, similar to the one called coneplot in MatLAB? Given some spatial coordinates $x, y, z$ and velocity components $v_x,v_y,v_z$, it ...
2
votes
1answer
128 views

Represent more nested dataset with the same color in the PieChart

I have multiple dataset that I want to plot in PieChart, as in PieChart[{{2, 2}, {1, 2, 4}}, ChartLayout -> "Stacked"] Now here is the catch: I want the color ...
1
vote
1answer
167 views

SmoothDensityHistogram with logarithmic density

Is there a simple way for making SmoothDensityHistogram plots have logarithmic scaling for the density? With DensityHistogram ...
3
votes
1answer
123 views

Setting label in DendrogramPlot

I want to create a dendrogram with the labels being a visual representation of the data. Something like this: How can I do that in Mathematica? My attempt so far hasn't been very successful. The ...
2
votes
1answer
159 views

GridGraph layout with added edges

I noticed that the nice symmetric layout of a grid graph gets distorted when additional edges are added to the graph. Is there way to prevent that from happening and to keep the rectangular, grid-like ...
3
votes
2answers
294 views

Draw only part of axis in graph

I'm looking to draw only one half of an axis in ContourPlot3D, mainly because I don't wan't the axis lines to be where the interesting stuff happens (intersection ...
35
votes
6answers
2k views

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 ...
4
votes
2answers
198 views

Visualize difference between members of the list

I want to visualize the difference between members of a set: set = {20, 36, 70, 96, 152, 301} This way I get the diffs: ...
7
votes
3answers
822 views

Hovering mouse cursor over a plot to display a “corresponding” point in another plot

(Apologies for not having gotten around to responding to and accepting answers on my other recent questions—as a meticulous and thorough type, I'd like to take my time to fully comprehend and ...
6
votes
3answers
404 views

Fill circle layers with colors according to read values from a plotted curve

I want to read (temperature) values from plotted (cooling) curves and visualize them in layered circles. I have an example made manually for clarification: 3 plotted curves, at certain time steps ...
2
votes
1answer
85 views

How can I turn off generation of Dynamic elements by Histogram?

By default Histogram generates Graphics expression with embedded Dynamic constructs as can ...
1
vote
1answer
195 views

TreeForm display with nested lists as nodes

If i have a nested list representing nodes in a binary tree, {3, {2, {1, None, None}, None}, None}, what is the easiest way to show the hierarchy, without all the ...
12
votes
3answers
549 views

WaveletScalogram in polar coordinates

For given dataset data = Re[Zeta[1/2 + I Range[0, 100, 0.01]]]; It is nice that Mathematica can plot data in both Cartesian and Polar coordinates. ...
10
votes
1answer
783 views

Roads network visualization by thickness and color intensity by population from GIS files

We can have road networks of the countries in GIS shape file.For exmple from here. Normally traffic flows are proportionate to populations of the cities. I wonder how we can have the same in ...
3
votes
1answer
169 views

Plotting Uncertainty for a Sample of Functions

I am trying to produce a plot showing the variation in a sample of functions. It should look like this plot or that plot. I tried to use SmoothDensityHistogram. ...
2
votes
1answer
110 views

Clickable Bounded Diagram

Suppose I make a BoundedDiagram via the following code ...
35
votes
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 ...
6
votes
1answer
501 views

Building a molecule viewer: aesthetic rotations

I am working on building a molecule viewer in Mathematica and am running in to problems with controlling rotation of the molecule (which is rendered as a ...
5
votes
0answers
668 views

3D visualization of 4D object data

I have some paired data here {{x1,y1},...{x_n,y_n}} (Download link) which represents {frequency, amplitude} of a spatial object surface mesh. Its quite a lot of cells and data as you can see in the ...
20
votes
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 ...
3
votes
1answer
406 views

Visualizing a 2-dimensional PDF [duplicate]

I have empirical data that describes a 2-dimensional Probability Density Function and I want to visualize that data in a meaningful way using Mathematica. My first instinct is to use a 2D Heat map ...
0
votes
2answers
223 views

Visualizing multi-state lattice from a data set

Is there any way to make Mathematica visualize a multistate square lattice? That is, I have a data set from a simulation that is x coloumns wide and y rows tall (just a simple .dat file), where each ...
8
votes
2answers
2k views

Dynamic graph visualisation using JLink/Java and GraphStream

Visualising the addition of new nodes and edges to a graph to 'watch it grow' is to something Mathematica is not suited to by default. However this type of animation really helps convey the emergence ...
18
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 ...
18
votes
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 ...
20
votes
1answer
561 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 ...
8
votes
6answers
2k views

Image of first quadrant under $f(z)=(z+i)/(z-i)$

I'm able to plot the region where Im[z] > 0 and Re[z] > 0: ...
13
votes
3answers
420 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} - ...
40
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 ...
18
votes
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 ...
1
vote
0answers
548 views

Doing local FFT on huge 3D vector data cell mesh and visualizing it spatially?

Simulation type: I'm running a simulation with the OOMMF micromagnetics package http://math.nist.gov/oommf/ where are magnet is represented by a mesh of 3 million cells, it gets excited by a ...
11
votes
1answer
439 views

Dynamic visualization of Graph[] on a webpage

How can we embed a dynamic version of a Graph object on a web page, similar to the one showcased on the networkx home page? This sort of dynamic visualization can ...
26
votes
7answers
990 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 ...
3
votes
2answers
277 views

How can I fill an entire Building with transparent points? [duplicate]

I am posting the same code found at an earlier question, although the concept here is totally different. The following code corresponds to a building-shaped structure. ...
3
votes
3answers
367 views

How can I fill a wire-frame structure with gas in a Graphics3D drawing?

I am very poor at visualization. I want to make a transparent "building" filled with gas. I wrote the following code for the building and it's fine. ...
-4
votes
3answers
242 views

How can I draw this plot?

How can I draw a plot like this one? I want to be able to specify the x-axis, y-axis, and z-axis ticks and the number of bars in the plot.
0
votes
2answers
2k views

How can I make a transparent 3D Rectangle?

Sorry, I didn't mentioned clearly in my earlier post. I want to build a transparent Rectangle, within which I want to diffuse a certain color of my choice which is ...
5
votes
1answer
216 views

How to stop Manipulate changing view point

When using the following manipulate I can rotate the plot and manipulate the value without my view point changing; ...
0
votes
1answer
354 views

Create heat map from RMSD values

After looking through these forums for answers that could work for my problem, I could not find anything. I want to make a heat map comparing values that are in a nested list. That is, I have a ...