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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1answer
65 views

How to improve the smoothness of ContourPlot3D at the boundary

I want to ContourPlot3D[] a iso-surface. $3$ independent variable are α1, α2, Ψ, respectively. The codes are as follows (the ...
11
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3answers
741 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 ...
5
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1answer
75 views

Plotting a parametrically defined vector field

Let's say that you have a three dimensional surface defined by two parameters. E.g. $$ S(\theta,\phi) = \{\cos{\theta}\sin{\phi},\sin{\theta}\sin{\phi},\cos{\phi}\} $$ Additionally, you have some ...
39
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7answers
3k views

How to plot contours on 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 ...
3
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0answers
43 views

Is there a 3D version of ListStreamPlot[] (analogous to ListVectorPlot3D[])

Is there is straightforward way to visualize streamlines given a series of discrete samples of a 3D vector field? There is a generalization of ListVectorPlot --> ...
9
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1answer
115 views

How to optimize my own BezierFunction?

A few months ago, I asked a question about the implementation of Bezier surface. Please see here for a full detail. I also know that BezierFunction[] is built-in ...
1
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1answer
46 views

Manipulate, graphing a set of functions with comet effect, with fixed axes and history

I want to solve a basic differential equation with a parameter and have the resulting solutions show as a set of functions in a merged plot. I want to be able to do two things: 1- Be able to compare ...
13
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1answer
324 views

How to plot GDPs in this way?

Actually the current answer is very wonderfull.The bouns just for someone can complete this question. I found this interesting plot of how the relationship between the GDPs of different countries has ...
2
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2answers
160 views

generate 3D cubic lattice with different atoms in alternate site [duplicate]

I was wondering how to create a 3D cubic lattice and vizualize with A and B atoms in alternate sites? Regards
6
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1answer
84 views

Wordcloud creates a messy image

I'm trying to use Wordcloud built in function (I'm using v10.3.0.0) but the result is not good. I'm using a list with expressions and respective weights: ...
0
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3answers
90 views

ploting the graph of 1/z for a given value

I want to plot the graph of ${1}/{z}$ , for a specific single value of |z| (z - complex variable) . I would like something like ...
19
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2answers
681 views

How can I generate a legend for a BubbleChart?

Is there a way to make a nice disk radius legend (with linear or log scale) for a BubbleChart? Something like the following example should be built in:
4
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0answers
110 views

EquationTrekker-like behavior for state space?

EquationTrekker is great for phase space plots, however I want to plot the results of $$\phi '(t)=-b \sin (\phi (t))+g \sin (\Phi (t)-\phi (t))+1\\\Phi '(t)=g y ...
8
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1answer
89 views

WordCloud: can words' style and orientation be functions of words?

Function WordCloud can take such options as WordOrientation and ColorFunction. It is not ...
3
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0answers
168 views

How to solve the Tsunami model and animate the shallow water wave?

Recently when I was learning differential equations, I noticed there is a shallow water wave equation to model the tsunami propagation. How to establish and solve the initial and boundary conditions ...
3
votes
0answers
42 views

Highlighting individual 'cells' in Matrix/ArrayPlot [duplicate]

I am plotting some matrices / arrays via MatrixPlot and ArrayPlot, and I would like to highlight several of the cells via ...
7
votes
2answers
203 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
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0answers
70 views

Programmatic immersion of 2D surfaces in 3D [closed]

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
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1answer
77 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 : ...
18
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3answers
1k views

Is it possible to position ticklabels on the negative y axis on its right side?

Is it possible to position ticklabels on negative $y$ axis on its right side? Ticklabels on positive $y$ axis should remain as usual:
6
votes
1answer
195 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
46 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
199 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 ...
29
votes
2answers
952 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 ...
11
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2answers
158 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
80 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 ...
41
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4answers
2k views

Is there an easy way to use Matteo Niccoli's perceptual color maps for 2D plots in Mathematica?

I have been using the ubiquitous Jet color palette for 2D plots for some time now, and don't really care for it. Then I came across the series of blog posts, The rainbow is dead...long live the ...
1
vote
1answer
139 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
98 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, ...
4
votes
4answers
589 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 ...
0
votes
1answer
95 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 ...
2
votes
2answers
90 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 ...
47
votes
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
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1answer
40 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
627 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
106 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 ...
10
votes
1answer
195 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
100 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
231 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 ...
2
votes
3answers
89 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 ...
24
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1answer
332 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
101 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
342 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
251 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
583 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
86 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
466 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
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1answer
211 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: ...