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
50 views

Visualization problems

I am visualizing 1-dimensional curves that are periodic. Due to periodicity, extending the domain should result in the curve being retraced and therefore remaining unchanged. This doesn't seem to be ...
9
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2answers
152 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 ...
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1answer
82 views

Good looking small plots

Is there a way to make Mathematica adjust the amount of visual clutter (ticks, tick size, linewidth) depending on ImageSize? Long version: I would like to include plots from Mathematica in a LaTeX ...
0
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1answer
47 views

Color a list of 2D points continuously

I have a list of 3-tuples. First 2 positions are coordinates in $R^2$, the third specifies concentration of a chemical at that point, which I want to render in color. Here's what the list looks like: ...
8
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2answers
521 views

Mapping StreamPlot onto spherical surfaces

Suppose I have some vector field equations $(f(\theta,\phi), g(\theta,\phi))$. The StreamPlot can be created easily in 2D, but I would like to visualize the stream ...
-2
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1answer
65 views

Neumann and Dirichlet eigenvalue problem - Eigenfunctions on the square [closed]

I don't know if I am in a good place to ask my question, but I'd like someone to create a visual support for a problem of mathematics. I was wondering what is the fundamental different between a ...
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0answers
48 views

How to label vertices on a mesh with user defined values?

I am trying to write a code to estimate geometric properties (i.e. Mean Curvature, Gaussian Curvature, Principle Curvatures) on a triangulated mesh. I would like to save the calculated data as a set ...
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0answers
129 views

Comparing heavy tailed and non-heavy tailed distribution using Mathematica

I have data from a heavy tailed distribution (see picture 1) and a non-heavy tailed distribution (see picture 2) and want to compare it using a histogram on log-scale. However the picture 3 does not ...
53
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7answers
5k views

How to plot Venn diagrams with Mathematica?

How does one plot Venn diagrams with Mathematica? I've searched quite a bit and I've found one source at MathWorld which provides the source code for doing them. But I don't understand this code, can ...
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2answers
54 views

DiscretePlot: differentiate without using different colors

I need to plot multiple series in the same figure. As the picture will be printed in white and black only, how can I differentiate these series so that readers can identify them from each other? ...
5
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3answers
602 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 ...
2
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1answer
57 views

How can I make a clickable ArrayPlot that returns input?

I would like to create a dynamic ArrayPlot so that the rectangles, when clicked, provide the input. Can I use ArrayPlot for this?...
11
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2answers
224 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. ...
16
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2answers
836 views

Plot 3D model of DNA in Mathematica

My friend asked me if we can plot a 3D model of DNA (deoxyribonucleic acid) in Mathematica. However, I am not really familiar with this and I don't know if Mathematica can do this. Could you answer ...
28
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1answer
3k 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 ...
4
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1answer
359 views

Visualization of Gaussian Curvature

I need to visualize Gaussian Curvature of a parametric surface. There is a solution in this math.SE post. However, I'm not sure its working because when I draw a sphere it's all white, but it should ...
3
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1answer
50 views

Is it possible to achieve the coordinates of the section ClipPlane given?

I using the ClipPlanes to achieve a section, the code as below: ...
1
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1answer
73 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
772 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
93 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 ...
40
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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
49 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 --> <...
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1answer
47 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
329 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
173 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
95 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: ...
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3answers
94 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
702 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:
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0answers
121 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
97 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
197 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
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0answers
44 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
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2answers
207 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
75 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
82 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
2k 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
208 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
50 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
200 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
1k 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 ...
4
votes
2answers
82 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
votes
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
187 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
100 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
609 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
103 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
95 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 ...
48
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 ...