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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13
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3answers
491 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
votes
3answers
522 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
1k 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 ...
12
votes
1answer
440 views

How can I collect data for visualization of quick sort?

I know how to implement quick sort in Mathematica. But I don't know how to get the temp data for visualization, because I used recursion. I want the effect similar to this: ...
12
votes
3answers
585 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. ...
12
votes
3answers
1k views

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 ...
12
votes
1answer
134 views

How can I easily visualize density plots with singularities with the least loss of detail?

I'm trying to visualize electric fields. StreamPlot is helpful: ...
11
votes
1answer
495 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 ...
11
votes
1answer
135 views

How can I route edges manually for a Graph?

Most graph layouts supported by Mathematica use straight lines for edges; or at least something that only depends on the coordinates of the two adjacent vertices of the edge and nothing else. A ...
10
votes
3answers
656 views

How to visualize the interior of a complicated 3d plot

I have an external data file (can be downloaded here: link 1 or link 2) which contains a dense grid of initial condition in the (x,y,z) space. I read it with Mathematica and plot these initial ...
10
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3answers
1k views

Which ColorFunction should I use to get such a gradient of blue-cyan-green-yellow-orange-red?

I want to get the effect in the above Figure. Here is my code: ...
10
votes
3answers
194 views

Custom edge style (e.g. brush stroke, writing ink, etc.)

I would like to draw a graph with Mathematica in such a way that it looks like a handmade drawing or painting. To be more precise, is there a way to set a custom edge style such that it looks made ...
10
votes
2answers
122 views

How can I make a density plot (or contour plot) with an arbitrary nonlinear scale (e.g. arcsinh, log, biexponential)?

I was inspired by this question, which showed how we can apply logarithmic scaling to a density plot. But I'm not always a fan of a logarithmic scale - it tends to overemphasize smaller features. ...
10
votes
1answer
473 views

representation of custom deformation on a meshgrid

I am trying to represent 2D deformations on a rectangular grid. In Mathematica 10, there is a method to solve the elastic differential equations and then represent the deformation as presented here: ...
10
votes
1answer
324 views

Camera Troubles in Mathematica

I'm trying to animate a torus being cut by a plane, so that as the plane enters the torus the part in front of the plane disappears (the idea is to show the cross section). That much I can do, but I ...
10
votes
1answer
396 views

How to visualize pattern matching process?

I want a function that does the same job like ReplaceRepeated, and can make the matching process visible. I searched the Internet but didn't find any existing code ...
10
votes
2answers
358 views

Visualizing several long lists of numerical information to see relative frequency

Mathematica has very powerful visualization techniques. However, I'm at a loss at how to best make the following chart readable. ...
10
votes
1answer
888 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 ...
10
votes
1answer
249 views

TableView displays negative numbers incorrectly

I'm trying to substitute TableForm with TableView because TableView is more handy with big data . But on my Mathematica 9.0.1 (ubuntu 14.04_64bit) there is a problem with negative numbers: ...
9
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: ...
9
votes
3answers
483 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: ...
9
votes
2answers
354 views

Transition between graphs

I want to visually demonstrate the manipulations made to a graph. For instance, I have a graph g where using the command ...
9
votes
1answer
153 views

How to visualize a random forest classifier?

I'd like to recreate this visualization (from python) in Mathematica: I'm not sure how to extract the decision boundaries from a classifier with "Method" set to "RandomForest". Here's the code: ...
8
votes
2answers
501 views

How to draw a protractor in Mathematica

I would like to draw a protractor with Mathematica. I hope this is a fun question. Here is some start codes I tried: ...
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 ...
8
votes
2answers
221 views

Number of divisors visualized with the QPochhammer function, how to improve performance of code?

I have this code that is originally Jeffrey Stopple's code for the Riemann zeta function in the complex plane. Because I discovered yesterday that the number of divisors can be generated with the ...
8
votes
3answers
796 views

Visualization of matrix transformations

I define the "matrix transformation" here as follows: $\left[ \begin{matrix} x_1' \\ x_2' \\ \end{matrix} \right]=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} ...
8
votes
1answer
222 views

How to make a Nebulabrot?

A Nebulabrot is a generalization of the Buddhabrot, a fractal rendering technique related to the Mandelbrot set that sort of looks like a meditating buddha. The Buddhabrot rendering technique was ...
8
votes
1answer
88 views

Filling Stacked Graph v.10.1

I used a code very similar to the code posted by Kuba stacked line graph with fragmented data ...
8
votes
1answer
2k views

FeynRules vs FeynCalc (or anything else?)

I was looking for a Mathematica package that can take Lagrangians and calculate Feynman diagrams for any given n-point function. (..like if a software can draw and calculate arbitrary loop corrections ...
8
votes
1answer
292 views

Visualizing nested lists for easier human understanding

When interacting with Mathematica, I often find myself staring blankly at waves of curly braces, trying to understand how data is organized hierarchically. For example, the beginning of the result to ...
7
votes
2answers
724 views

Adjusting Density Plot Color Function for Diffraction Simulation

I'm trying to simulate Fraunhofer diffraction by a single slit using DensityPlot I run the code: ...
7
votes
1answer
339 views

Anyone recognize this heatmap? [closed]

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 ...
7
votes
1answer
386 views

How to implement hive plot for graphs in Mathematica?

I'm trying to implement a version of the hive plot advocated in [Kryzywinski, et al., 2012]. There are many examples of such graphs on the author's webpage. It would be good enough for me to have ...
7
votes
3answers
934 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 ...
7
votes
1answer
225 views

How to set the Y coordinates for a Graph with defined X coordinates to prevent overlap of nodes?

I would like to draw a Graph with defined $x$ coordinates and variable node sizes. If I simply replace the $x$ coordinates of a graph, then nodes can overlap and ...
7
votes
1answer
384 views

How to create a real-time dashboard in Mathematica?

I am trying to figure out how to use Mathematica as a real-time interface. I've used Excel/ODBC connection to a SQL database to use the graphing functions within to get my real-time dashboard. I ...
7
votes
1answer
343 views

How can I extend BinCounts to work on Times and Dates?

I want to extend BinCounts to work on a list of times or dates, binning them by Day, Week, Hour of the Month, Day of the Year, etc... So given a list of times and a time bin spec, I need to calculate ...
6
votes
3answers
445 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 ...
6
votes
3answers
209 views

Weird output of DistributionChart

I have a larger data set and want to display it using DistributionChart. ...
6
votes
4answers
216 views

Constructing a grid from a matrix

I would like to construct a grid from a matrix. For example, one possible matrix is $M1$. $$M1= \begin{pmatrix} c2 & a1 & a1 & a1 & a1 & a1\\ a2 & b1 & c2 & a1 & ...
6
votes
2answers
555 views

How can I visualize features found in an image?

I am using Mathematica to explore the face detection feature of Core Image on Mac OS X Lion. To do this I have an Objective-C program which captures images from the iSight camera, runs face detection ...
6
votes
2answers
151 views

Visualizing subgraphs while specifying the locations of vertexes

I would like to visualize separate connected components of a graph defined by data points lying in the two-dimensional plane by surrounding each connected component subgraph by a bounding curve. I ...
6
votes
2answers
191 views

Plotting a function with three real arguments using transparency

I would like to plot a real function with three real arguments by assigning a transparency and color to the function values. The smallest value in the plotting range should be fully transparent, the ...
6
votes
1answer
292 views

Does anyone know a way to draw lines connecting nearest neighbor points in ListPlot[ ]?

I have a two-dimensional mesh that I am visualizing in Mathematica, with ListPlot[]. The mesh looks like this: Any ideas for how to connect all the nearest neighboring points with lines? Thanks, ...
6
votes
2answers
182 views

Visualize scalar field $f(x,y,z)$ in three dimension

I am trying to visualize scalar field in three dimension generated from some simulations with tuples $(x, y, z, w)$ where $w=f (x, y, z)$. Here is my first attempt ...
6
votes
3answers
130 views

Controlling the size of Histogram in PlotLegends -> Histogram

I stumbled across this in the Mathematica documentation and thought it was pretty nifty except that the Histogram that appears as the plot legend is too small so the numbers on the histogram overwrite ...
6
votes
2answers
123 views

A better alternative to the paired bar chart

In an nice blog post about the horrors of the paired bar chart, Jonathan Schwabish proposes an elegant alternative, as follows. Instead of having parirs of yellow and blue bars, simply plot their ...
6
votes
2answers
291 views

Truncate TreeForm to show only the top

For some expressions, TreeForm may grow very long. I'm only interested in the top levels of the expression. How can I get the tree form of only the first levels an ...
6
votes
1answer
54 views

How to get information from map using mouseover?

Assume I have the following zip code data: ...