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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48
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4answers
2k views

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 homotopy from the left to the right, can ...
1
vote
1answer
41 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 ...
22
votes
1answer
631 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 ...
0
votes
1answer
114 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 ...
11
votes
1answer
233 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: <...
1
vote
1answer
115 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 ...
8
votes
2answers
246 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 $q$-...
2
votes
3answers
91 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 ...
25
votes
1answer
362 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 ...
0
votes
1answer
103 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 ...
3
votes
2answers
348 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 ...
10
votes
3answers
276 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 ...
28
votes
1answer
602 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 ...
2
votes
1answer
95 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, : ...
17
votes
1answer
490 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.
18
votes
1answer
213 views

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

Bug introduced in 7.0.1 or earlier and fixed in 10.3.0 I believe I have come across a rather curious bug in TreeForm: ...
1
vote
2answers
173 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 ...
0
votes
0answers
32 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. ...
9
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 ...
6
votes
1answer
63 views
1
vote
3answers
99 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
84 views

How to use the “EdgeLayout” suboption of GraphLayout?

According to the documentation, GraphLayout has an EdgeBundling suboption, which can take the following values: ...
3
votes
1answer
414 views

Putting set elements into venn diagram

My problem has two parts. Before that I have two Lists/Sets. It suppose to be created them by two initial strings. In the first part, I need to show sets' elements in venn diagram. I can create venn ...
19
votes
3answers
3k 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 \...
11
votes
1answer
139 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
192 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 id1,...
23
votes
2answers
614 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: ...
24
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 ...
10
votes
1answer
270 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: ...
0
votes
0answers
108 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
65 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
177 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 ...
3
votes
0answers
98 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 $u(x)\in\mathcal{S}(\mathbb{R}^...
1
vote
1answer
76 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: ...
5
votes
0answers
170 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
107 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
136 views
41
votes
6answers
3k views

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 ...
12
votes
1answer
156 views
48
votes
1answer
2k views

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 ...
5
votes
0answers
219 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 $g(x,y,z)=3x+y+2z=13$...
6
votes
2answers
240 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
34 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: ...
8
votes
1answer
284 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 ...
6
votes
2answers
340 views

How to improve visualisation of trajectories in 3D space

I have a list of trajectories from a bunch of photons that travel inside a scattering medium. Each trajectory is a list of $(x,y,z)$ pairs. I'd like to visualise them in 3D space. I came up with the ...
2
votes
0answers
89 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 ...
2
votes
1answer
130 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
2answers
235 views

BarChart3D does not print zeros and odd tick positions

Bug introduced in 9.0 and 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 code: ...
6
votes
4answers
246 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 & ...