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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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 ...
3
votes
0answers
59 views

Programmatic immersion of 2D surfaces in 3D [on hold]

Disclaimer: This may be an open problem, or one that is too large to be amenable to a solution on this site; I'm not sure. Question: I'm looking for a method to programmatically immerse certain ...
0
votes
1answer
68 views

How to colorize curves intersection in a manipulate function

I need to show the intersection area of two curves, using the manipulate function in Mathematica. Here's a fully working example, and a preview below it : ...
6
votes
1answer
168 views

Trouble with shooting method for a 4th-order differential equation

I'm trying to solve the following forth-order ODE with the shooting method: $$\frac{1}{5}(y-2xy^\prime)=\frac{1}{x}\left\{\frac{xy^\prime}{y}+xy^3 \left[\frac{(xy^\prime)^\prime}{x} \right]^\prime ...
2
votes
1answer
41 views

How to make custom frame ticks for a Histogram3D plot

I've generated a 3D histogram using the Histogram3D function and I would like to specify the frame ticks. That is, I would like to make custom labels and locations for the rows, columns, and/or ...
3
votes
3answers
188 views

Color coded bar to represent numberic values

I would like to present data color coded in a bar. My data look like the following: {-2.5,-1.0,0.1,0.5,-0.24,-0.58,-0.58,-0.25,-1.4,2.1,1.8,-2.5,1.97} I would ...
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. ...
4
votes
2answers
79 views

How to plot against scaled axes?

Say I have some plot, such as: Plot[Exp[-(x - 2)^2/(2*1^2)], {x, 0, 6}, AxesLabel -> {"x", "f(x)"}] But I want to present it with the axis labeled as ...
29
votes
2answers
870 views

How can I use Kenneth Moreland's “Diverging Color Maps for Scientific Visualization” in plots?

I often want to plot two dimensional data that is centered around zero (for me, this is usually a 2D optical spectroscopy signal, but there are other cases), and the MATLAB "Jet" color scheme is ...
1
vote
1answer
115 views

packing of smaller spheres onto a bigger one

I want to estimate the maximum number of smaller spheres (of known constant radius, r) that can closely pack around a bigger sphere (of radius, providing R >= r). It would be much appreciated if ...
1
vote
1answer
93 views

Visualizing Matrix that represents a network

I have a nxn matrix $A$ that represents a network. I have $n$ nodes in the network, and the matrix $A$ represents the number of connection (edges) between the different nodes. For example, if $A$=0, ...
0
votes
1answer
79 views

Fourier Series and epicycles - How to find the radii and angular velocities from a function's Fourier Series expansion

The following code is a bit clumsy, but it constructs a variable number (n) of epicycles using the values from the radii and angularVel tables that follows the path of a parametric given as a sum of ...
1
vote
1answer
36 views

2D vector treatment and visualisation

I'm just trying to define a set of vectors, in the Cartesian plane, draw the vectors originating from the origin $O,$ and be able to add vectors and draw the resulting vector. I've started doing ...
2
votes
2answers
81 views

How to created visualization dashboard for summary data?

I would like to create the following dashboard: The numbers indicate my desired dimensions for the cells. I would like the cells to contain a regional plot, a trend line, and bar charts. I have ...
0
votes
1answer
99 views

Plot tree edges of a tree-form list

I'm trying to plot a tree from a tree-form list. The nodes should be connected from left to right (as usual). My range values are ...
1
vote
1answer
76 views

How to color-code a 3D point plot

I am doing a Finite Difference Method for 3D heat diffusion, so I need my ListPointPlot3D to be color coded on a range from deep red to deep blue depending on the temperature of the point. My ...
9
votes
1answer
154 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: ...
2
votes
3answers
81 views

network visualization with different colors for different edge labeled

I have a network with 3 different edge types, edgelist file is a three column file with id1, id2 and edge label. I uploaded the file here What I need know is to find a way to plot this network, as ...
3
votes
2answers
319 views

Visualization of Homotopy equivalence between “heart curve” and zero

It is well-known that a "heart" is topologically equivalent to a "zero". where $$(x^2+y^2-1)^3=x^2y^3$$ is the heart equation; and $$\frac{x^2}{2}+\frac{y^2}{3}=1$$ is the equation of the zero ...
0
votes
1answer
92 views

RegionPlot: Incorrect Results

I have a simple function and I tried to simulate whether the resulting values are positive/negative/zero (all I want to know). I plotted the function with a set of parametric assumptions and the ...
2
votes
1answer
80 views

simple contour plot with variable thickness

I have a data set on the form of 3 spatial coordinates x,y,z and an amplitude. Here is a small crop of the data, : ...
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 ...
0
votes
0answers
31 views

StreamPlot, ListStreamPlot does not visualize vector field properly [duplicate]

I am reopening my question about empty stream plots. I couldn't find a choice for parameters that would give me a proper stream plot for the following example. ...
1
vote
2answers
129 views

StreamPlot, ListStreamPlot scaling issue [duplicate]

The following stream plot is empty and the x-axis exceeds $[-0.1,0.1]$ significantly. StreamPlot[{y, -100000 x - y}, {x, -0.1, 0.1}, {y, -100, 100}] Using ...
6
votes
1answer
54 views

How to get information from map using mouseover?

Assume I have the following zip code data: ...
1
vote
3answers
97 views

DensityPlot is wrong

DensityPlot[( ArcCot[(2 y)/(1 - 2 x)] + ArcCot[(2 y)/(1 + 2 x)])/1, {x, -10, 10}, {y, 0, 10}] What it should look like: What it looks like:
4
votes
1answer
71 views

How to use the “EdgeLayout” suboption of GraphLayout?

According to the documentation, GraphLayout has an EdgeBundling suboption, which can take the following values: ...
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 ...
0
votes
1answer
123 views

Network/Graph Visualization read edgelist

I have what it seems to be a very trivial question, but after searching for hours I was not able to find an answer, so I am asking here. I have an edgelist for a graph, a 2 column csv file with ...
17
votes
1answer
421 views

Import and Plot Git Commit History

What might be the easiest to import and plot all commit history for a github project? I'm looking for something similar to the following.
1
vote
1answer
59 views

Is there a way to change PlotRange without redrawing?

I'm running some code that takes a very long time to generate a final image. So naturally when the PlotRange on the original image was too small, I'm frustrated ...
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 ...
0
votes
0answers
57 views

ViewVector requires click before behaving with Graph3D (Also, viewing 3D subgraph “head on.”)

I want to produce 3D subgraphs that looks "head on" at the remaining vertices, held in their original positions via VertexCoordinates. The default viewpoint is not ...
1
vote
1answer
57 views

StreamPlot use fixed integration time to determine final path length, not fixed path length

I'm plotting velocity fields for fluid flow, and my call to Streamplot looks something like this: ...
3
votes
0answers
91 views

Using NIntegrate and DiscretePlot to visualize pseudodifferential operators

In harmonic analysis, pseudodifferential operators are a way to generalize the notions of derivatives, through the use of Fourier transforms. The basic idea being, Let ...
5
votes
0answers
166 views

Visualising a 1-(50,15,15) design

The problem I have is the visualisation of a $1-(50,15,15)$ design. That is a set of $50$ points and $50$ blocks (lines), so that each point is on $15$ lines, and each line contains $15$ points. My ...
0
votes
1answer
98 views

How to let Mathematica ignore complex values in Plot functions?

Consider the polar coordinates function of a circle centered at $(2,0)$ with a radius of $\sqrt 2$: $$\rho(\theta)=\left\{\quad \begin{array}{c} 2 \cos \theta +\sqrt{2-4 \sin ^2\theta} \\ 2 \cos ...
3
votes
1answer
126 views

How can I fix a defect in the 3D graphics rendering of a coiled tube? [closed]

I use the following code to obtain a tube version of a spring: ...
4
votes
0answers
171 views

Visualizing the Lagrange Multiplier Solution

This question is based on work in Susan Colley's Vector Calculus, 4th ed. The question is to find and classify critical points of $f(x,y,z)=3xy-4yz+5xz$ subject to the constraint ...
6
votes
2answers
183 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 ...
0
votes
1answer
33 views

How can I plot a function of imported data that ends up nested in lists four deep? [closed]

I imported a file of data from a model that I am running for my research. It produces the following output in Mathematica: ...
2
votes
0answers
73 views

Tree graph showing the orbits under the Collatz map?

ReverseCollatzPaths is a nice demonstration of a radial tree graph showing the orbits under the Collatz map. However, Jason Davies gives, I think, a nicer visulalization using Python, with a ...
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 ...
24
votes
1answer
323 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 ...
2
votes
1answer
79 views

Visualisation of feedback loops in a directed graph

Here are the nodes (vertices) of my graph: ...
5
votes
1answer
230 views

LabelingFunction in BarChart displays bar-values below x-axis

I'm trying to visualize some data using a BarChart[] in Mathematica. The data should be placed (centered) inside the bars - except the bar is too small. In this ...
0
votes
0answers
32 views

Weighted graph vizualization [duplicate]

Is it possible to visualize a weighted graph, so lines on screen would reflect weight? I.e., be longer, or shorter depending on edge weight? Slight OT: which graph visualising libraries/tools can do ...
1
vote
2answers
87 views

What is the correct way to assign and use properties of vertices in graphs?

I'm using Mathematica 10, but I'm having a hard time getting it to do anything useful for network analysis because I'm having a hard time working with node properties and analyzing the graph by its ...
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 ...
1
vote
1answer
75 views

How to visualize such PopularCurve entities?

The following command EntityValue["PopularCurve", "Entities"] returns a long list of PopularCurves: {dragon curve, ...