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Questions tagged [visualization]

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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How can I make length and width of this edge label scale with the graph? [duplicate]

How can I make length and width of this edge label scale with the graph? ...
internet's user avatar
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1 vote
1 answer
89 views

How to best present 3D data on 2D plot

The data I have the following three datasets: data1 data2 data3 ...
alex's user avatar
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19 votes
5 answers
1k views

Bridget Riley - Movement in Squares and Circles

Bridget Riley Bridget Riley (born 1931 in London) is an English painter known for her op art paintings. Alongside Victor Vasarely and Vera Molnár, she is one of the best-known representatives of this ...
eldo's user avatar
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2 votes
1 answer
127 views

How to define styles for a mesh based on a function of element index

My main objective is to have control over style of each element in a mesh. I don't quite understand how ElementMeshToGraphicsComplex works. It looks very cool and ...
MathX's user avatar
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3 votes
2 answers
107 views

Plotting a vector field on a cylinder

Assume a parametric equation for a cylinder $$\mathrm{cyl} (\theta, z) = (r \cos\theta, r \sin\theta,z)$$ and a vector field given by $$\mathrm{vecField} (\theta, z)=\frac{\sin(\alpha)}{r}\partial_\...
PhyGeom's user avatar
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2 votes
0 answers
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Tree edge label visibility and legibility

I am building some tools to help me visualize fitting of generic n-dimensional nonlinear model. I have the data and results stored in a nested association. I've written a few functions to generate a <...
Tapiocaweasel's user avatar
8 votes
1 answer
177 views

Electronic Einstein - Reproducing Herbert W. Franke's dissolving images

Herbert W. Franke Herbert W. Franke (1927 - 2022) was an Austrian scientist and writer. He was one of the important early computer artists, creating digital art since the early 1950s. Franke, a jack-...
eldo's user avatar
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12 votes
3 answers
450 views

Visualizing diagrams needed to compute $\operatorname{Tr}(A^3 (A^T)^3)$

I'm looking for help getting Mathematica code to construct diagrammatic expressions like the following, obtained by River Li as a way to compute $\operatorname{Tr}(A^2 (A^T)^2)$ for $d\times d$ matrix ...
Yaroslav Bulatov's user avatar
12 votes
1 answer
288 views

Reproducing Ruth Asawa's Wire Sculptures

Ruth Asawa Ruth Aiko Asawa (1926 - 2013) was an American artist known primarily for her looped-wire sculptures. Born in Norwalk, California Asawa was the daughter of Japanese immigrants. She grew up ...
eldo's user avatar
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0 votes
0 answers
51 views

HeatMap visualization (ListDensityPlot)

I have two sets of values, e1 = {0.15,0.2,0.25,0.3,0.35,0.4,0.45,0.5,0.55,0.6,0.65,0.7,0.75,0.8} and ...
Mathematician's user avatar
2 votes
2 answers
133 views

How to interpolate and visualize a finite element integration point solution

I can intepolate the nodal solution using the function ufun = ElementMeshInterpolation[{mesh}, nodalsol] and visualize the nodal solution with the function ...
Stratus's user avatar
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7 votes
2 answers
267 views

Generating vector plot with curved arrows

Example below renders "A", it's rotated version, and displacement field. However, the arrows are straight instead of curved. What is the easiest way to get the curved version? ...
Yaroslav Bulatov's user avatar
6 votes
1 answer
212 views

Visualizing pseudo-spectra of large matrices

I'm looking to reproduce some pseudo-spectra figures on Mark Embrees' site https://www.cs.ox.ac.uk/pseudospectra/random/dense.html In particular, a pseudo spectrum of a random square matrix with $N=...
Yaroslav Bulatov's user avatar
2 votes
0 answers
37 views

How to avoid disparity in BarChart? [duplicate]

Consider the following code ...
sam wolfe's user avatar
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0 votes
0 answers
37 views

Parsing and visualizing outputs of piecewise gradients

I have a function ...
mijucik's user avatar
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1 vote
0 answers
32 views

Plotting the 3-dimensional solution of a 3 dimensional dynamical system

I used NDSolve on a group of 3 simultaneous ODEs for variables {v[t], w[t], y[t]}, with output ...
Peter R's user avatar
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3 votes
0 answers
70 views

How to display a circular data set?

Is there a straighftorward way of building the following plot where 5 data sets are displayed circularly, and some specific regions are highlighted (indexed i to vi)?
sam wolfe's user avatar
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4 votes
2 answers
304 views

How can I draw 3D shiny glass balls/spheres and glass bricks?

I first hoped MaterialShading was suitable for this purpose, but there is not a choice named "Glass" in the included ...
Αλέξανδρος Ζεγγ's user avatar
1 vote
3 answers
113 views

Plotting |z-2| < 1 under w = z/(z-1)

How can I plot the image of |z-2| < 1 under the transformation w = z/(z-1)? The expected result should look something like ...
internet's user avatar
  • 793
5 votes
2 answers
271 views

Nearest-neighbor density estimation in Mathematica

I want to use SmoothHistogram-like plot using smoothing kernel $f(x)$ which is uniform $(a,b)$ with $a,b$ adjusted for each $x$ to include 11 points on the left, ...
Yaroslav Bulatov's user avatar
3 votes
1 answer
183 views

Dynamic updating plot bug in version 13.3.1.0 [closed]

I am using Mathematica 13.3.1.0. version on MacBook M2 and there are some issues with dynamic updating. When I disable it I get a strange grey square in the center of the plot. When I enable it It ...
Alexander Nikolaenko's user avatar
0 votes
1 answer
61 views

Colorized hexdump

I have this hexdump command that I am writing to display a nicely printed hexdump into a mathematic grid. I want to be able to specify regions that I can highlight, however I am stuck being only able ...
skyfire's user avatar
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2 votes
1 answer
100 views

How to create a plot like this one? I think I am having issues with implementing a logarithmic axis

I am having trouble creating a type of contour plot. I have an example of what I am trying to make which is this: and this: I know that for the first example above, the plot was not all made in the ...
Joseph Romo's user avatar
1 vote
1 answer
128 views

Visualising assortativity in networks

Assortativity and disassortativity are graph properties that represent how hub-and-spoke-like a graph is, where assortative graphs have hubs that connect to each other, while disassortative graphs ...
apg's user avatar
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1 vote
1 answer
189 views

Visualizing conformal map from upper half plane to n-gon

I want to plot both the upper half plane and the image of it i.e. a polygonal region via Schwarz-Christoffel maps. One example is for a quadrilateral. ...
Physics Moron's user avatar
3 votes
4 answers
360 views

Sampling from intersection of $n$-sphere and hyperplane

Edit How do I uniformly sample from intersection of $n$-sphere centered at 0 and an arbitrary hyperplane for $n\ge3$? Below is an approach using FindInstance to ...
Yaroslav Bulatov's user avatar
4 votes
3 answers
304 views

Plotting multiple parametric 3D curves without using the Show command

How can I plot multiple parametric 3D curves on a single graph without the need to combine them using Show? Additionally, is there a way to clearly distinguish ...
emnha's user avatar
  • 2,111
3 votes
2 answers
125 views

Represent data as a table with diagonally split color-coded cells

I have two rows of values that I'd like to represent as a table, where cells are diagonally divided showing color-coded values with column A and column B values for each row such as below: Any neat ...
dziakku's user avatar
  • 301
0 votes
1 answer
49 views

Plotting graph in a same figure for two different values of parameter

Here I am trying to plot the graph for two different values of the parameter m, say m=5 and ...
Dr. B. Mallick's user avatar
1 vote
1 answer
60 views

Plotting Dengue Infection Prevalence Sensitivity to Biting Rate Variations

I want to explore how varying values of the biting rate affect infection prevalence in humans in our modeled dengue outbreak, keeping all other parameters constant. I provide you the code that I use ...
Athanasios Paraskevopoulos's user avatar
2 votes
0 answers
68 views

"RegularHyperbolicTilingGraph" Does Not Work Properly [closed]

I am trying to draw regular hyperbolic tesselations using the "RegularHyperbolicTilingGraph" function on Mathematica 13. Here is the introduction of this function on the repository: https://...
Tianyi Wang's user avatar
2 votes
2 answers
118 views

How can I make the output of Reduce more readable (with a tree)?

Oftentimes, the output of Reduce is quite difficult to read because it has too many && and ...
ions me's user avatar
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0 votes
2 answers
88 views

How to make a function that outputs a mesh region object or some other geometric object that represents a cake number?

The lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to describe the situation) that ...
Peter Burbery's user avatar
4 votes
0 answers
208 views

Defining a "pathway" from a list of points

1. Description of Pathway 1.1 Preliminary Definitions Let $A=[-2,2]^2$, where $\text{Area}(A)=16$ and $\lceil \cdot\rceil$ is the ceiling function. For $\varepsilon\in\mathbb{R}$, let $\left\{U_i\...
Arbuja's user avatar
  • 71
6 votes
4 answers
842 views

How to blur a line gradually

I would like to draw a line or curve and blur it partially or gradually. AFAIK Blurring is only blurring for a complete object (like a line). Of course I can ...
Lou's user avatar
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6 votes
3 answers
879 views

How can I draw this image and if you can make it rotate horizontally and vertically?

I've been looking at the site, but it doesn't occur to me there was a method to obtain the coordinates of the image, but I can't find it. Could you give me a hand? It's for a poster of the ...
Pamela's user avatar
  • 309
4 votes
1 answer
150 views

Restricting Plot3D to an area inside parametrically defined region

I have a region specified as a simple closed curve, suitable for ParametricPlot (as in this question). What is the easiest way to restrict 3D plot to only plot ...
Yaroslav Bulatov's user avatar
6 votes
4 answers
421 views

Visualizing empirical PDF from monotonically decreasing density

I have a sample from distribution whose density is known to be monotonically decreasing. What's the easiest way to incorporate this information into Mathematica for an empirical density plot? Looking ...
Yaroslav Bulatov's user avatar
1 vote
2 answers
87 views

Radially symmetric SmoothHistogram3D?

I have a sample from a distribution invariant w.r.t rotations around 0. What's the best way to incorporate this information into a smooth 3D histogram? ...
Yaroslav Bulatov's user avatar
0 votes
0 answers
69 views

Identifying $X^2$ relationships between random variables

Given $X$ coming from a known distribution faily, how do I identify distribution family of of $X^2$ and $\sqrt{X}$? Code below uses ...
Yaroslav Bulatov's user avatar
1 vote
3 answers
84 views

Visualizing range of possible CDFs of $X\in (0,1]$ such that $E[X]=1/3$

What's an elegant way to visualize the range of possible CDFs for a random variable $X\in (0,1]$ such that $E[X]=\frac{1}{3}$? Below is an attempt by discretizing (0,1] interval and using ...
Yaroslav Bulatov's user avatar
5 votes
1 answer
160 views

Visualizing density given by its Stieltjes transformation?

How can I use Mathematica to get $f(y)$, the PDF of a random variable given its Stieltjes transform $g(s)$? $$g(s)=E\left[1/(s-X)\right]$$ I need to visualize probability density of a random variable ...
Yaroslav Bulatov's user avatar
4 votes
4 answers
225 views

How to visualize point movements across multiple plots using Manipulate or something similar?

I have the following three plots: ...
internet's user avatar
  • 793
3 votes
2 answers
322 views

Plotting the local density of points: (x,y) coordinates

I'm running Mathematica 9 -- quite an old version. I have a list of (x,y) coordinates. I wish to plot them as either a density plot or a contour plot to show the local density of points. How do I do ...
Andrew's user avatar
  • 10.6k
1 vote
1 answer
49 views

How do I assign PlotMarkers based on two different variables?

I'm trying to create ternary diagrams with 6 data points (samples) that each have two values - a type and a location. I have these two pieces: ...
Ilene Kruger's user avatar
4 votes
1 answer
67 views

Leaving non-numeric values blank in ListDensityPlot

I'm trying to visualize some data using ListDensityPlot. Some of the data points may have bad values like Indeterminate which may come from taking ...
H. Zhou's user avatar
  • 347
1 vote
2 answers
227 views

Map water runoff flows near Ellicott City, Maryland

Ellicott City, Maryland was the site of a flash flood several years ago due to the local topography. How can we use the Wolfram Language to show the direction water flows at many points near that city?...
Ted Ersek's user avatar
  • 929
2 votes
1 answer
450 views

Plotting the molecular isosurface electrostatic potential map

After performing Gaussian calculation, cube files can be obtained. The distributions are the potential cube and esp cube, both of which contain volume data. What I want to do now is to project the ...
我心永恒's user avatar
  • 1,562
1 vote
0 answers
85 views

Question about ManipulatePlot3D. for 2-D Wave Equation in Cartesian Coordinates [closed]

...
Athanasios Paraskevopoulos's user avatar
2 votes
0 answers
45 views

Visualizing density histogram evolving over time

The code below visualizes trajectories of equation $e=e-x\langle e,x\rangle$ for Gaussian $x$. I'm using ListLinePlot with ...
Yaroslav Bulatov's user avatar

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