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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11
votes
2answers
194 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
votes
2answers
753 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
votes
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
votes
1answer
349 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
votes
1answer
48 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
vote
1answer
71 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
votes
3answers
755 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
votes
1answer
81 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
votes
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
votes
0answers
45 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
votes
1answer
119 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
vote
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
votes
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
votes
2answers
167 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
votes
1answer
87 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
votes
3answers
91 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
votes
2answers
688 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
votes
0answers
116 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
votes
1answer
91 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
votes
0answers
177 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
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
votes
2answers
204 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
74 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
votes
1answer
79 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
votes
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
200 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
47 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
980 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
81 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
154 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
99 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
598 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
92 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
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
628 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
110 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
212 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
108 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
236 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
90 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
356 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
102 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
345 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
257 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 ...