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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2
votes
1answer
89 views

Sharpening extrema using DensityPlot

I have a data set where I really care mainly about visualizing the highest and lowest areas. DensityPlot suits my needs well, but ideally the maxima and minima would pop more from the rest of the ...
4
votes
2answers
475 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 ...
0
votes
1answer
62 views

Visualizing vectors [closed]

How to visualize a set of vectors with 3 coordinates $(x,y,z)$, e.g.,$(1,1,1), (1,-1,-1),(-1,1,-1),(-1,-1,1)$? In fact there are many of them. I try the function "Graphic3D" with the following code ...
10
votes
3answers
444 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: ...
0
votes
0answers
153 views

Visualization of Gaussian Curvature

I need to visualize Gaussian Curvature of a parametric surface. there is a solution here How to visualize the Gaussian curvature of a 3D surface? but Im not sure its working because when I draw a ...
0
votes
3answers
300 views

Visualizing data on a world map - flexible record format

I have a list of members of a team, and I want to create a visualization on a world map. I want to plot them on a map, to see some clustering. The fields are: ...
5
votes
3answers
447 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} ...
3
votes
2answers
253 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 ...
1
vote
1answer
171 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: ...
1
vote
1answer
107 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
312 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 ...
1
vote
1answer
108 views

Visualizing how the zeros for this function change as its input parameter changes?

I'm trying to explore how the zeros of a certain parameterized function change as its parameter changes. ...
2
votes
1answer
120 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
142 views

SmoothDensityHistogram with logarithmic density

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

How to keep labels inside the box in BarChart3D

The following code ...
2
votes
2answers
175 views

BarChart3D does not print zeros and odd tick positions

Note: This is a version 9.0.0 problem that is fixed in 9.0.1. I want to generate a simple 3D view of some frequencies for two variables. I have the counts in a 4x3 matrix, say. This is my bar chart ...
3
votes
1answer
113 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
144 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
251 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 ...
8
votes
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: ...
4
votes
2answers
191 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: ...
33
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 ...
10
votes
3answers
494 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 ...
6
votes
3answers
369 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 ...
5
votes
1answer
229 views

Visualization of iteration procedure in NMinimize

I have this optimization code: ...
8
votes
1answer
240 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
3answers
679 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 ...
2
votes
1answer
80 views

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

By default Histogram generates Graphics expression with embedded Dynamic constructs as can ...
6
votes
2answers
542 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: ...
1
vote
1answer
178 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 ...
10
votes
1answer
699 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 ...
12
votes
3answers
513 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. ...
13
votes
0answers
1k 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 ...
3
votes
1answer
161 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
106 views

Clickable Bounded Diagram

Suppose I make a BoundedDiagram via the following code ...
5
votes
3answers
256 views

How to fix Ticks in Gauges?

Ticks is an option for Gauges. I fail, however, to apply custom Ticks to Gauges. For instance, compare these two: ...
33
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
464 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 ...
19
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 ...
2
votes
1answer
328 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
204 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 ...
5
votes
0answers
616 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 ...
8
votes
2answers
1k 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 ...
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 ...
13
votes
3answers
395 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} - ...
18
votes
2answers
997 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 ...
11
votes
1answer
379 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 ...
1
vote
0answers
496 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 ...
1
vote
3answers
318 views

How to select interactively datasets to plot with Manipulate

I'm using Manipulate to visualize three datasets: Manipulate[ListPlot[WHAT -> what], {what, {dataset1, dataset2, dataset3}}] Now with this solution I can only ...
25
votes
7answers
944 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 ...