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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"

3
votes
1answer
313 views

Ito Process paths over a Plot3D

I was wondering if its possible to draw the simulated paths of an Ito diffusion over the probability density function. Ito Process: ...
0
votes
1answer
85 views

Visualization problems [closed]

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 ...
0
votes
1answer
204 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
votes
1answer
103 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: ...
-2
votes
1answer
356 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 ...
9
votes
0answers
245 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 ...
1
vote
2answers
116 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? ...
23
votes
3answers
2k 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 ...
4
votes
1answer
104 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
167 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 ...
5
votes
1answer
529 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 ...
-2
votes
1answer
109 views
3
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0answers
385 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 --> <...
1
vote
1answer
64 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 ...
14
votes
1answer
416 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
427 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
34
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2answers
1k views

General techniques for creating complex animations

I love good animations of abstract concepts, and when I try to create them myself, I prefer doing so in code to make sure they are exact (and because some things are just way too fiddly to do by hand)....
6
votes
1answer
179 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
420 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 ...
8
votes
1answer
234 views

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

Function WordCloud can take such options as WordOrientation and ColorFunction. It is not ...
6
votes
1answer
205 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 ...
15
votes
1answer
1k views

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

Backslide introduced in 9.0, persisting through 11.3. Recently when I was learning differential equations, I noticed there is a shallow water wave equation to model the tsunami propagation. How to ...
3
votes
0answers
56 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
281 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
133 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 ...
1
vote
1answer
130 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 : ...
3
votes
1answer
194 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 ...
4
votes
4answers
281 views

Color coded bar to represent numeric 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 ...
14
votes
2answers
936 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
131 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 ...
36
votes
2answers
2k 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 ...
1
vote
1answer
580 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 ...
1
vote
1answer
194 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, ...
1
vote
1answer
827 views

Fourier Series and epicycles - How to find the radii and angular velocities from a function's Fourier Series expansion [duplicate]

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 ...
1
vote
1answer
641 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 ...
3
votes
2answers
173 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 ...
2
votes
2answers
205 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 ...
1
vote
1answer
371 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 ...
15
votes
1answer
3k 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: <...
2
votes
3answers
164 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 ...
4
votes
2answers
514 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 shape (...
0
votes
1answer
160 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
1answer
222 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, : ...
12
votes
3answers
842 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 ...
0
votes
0answers
38 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. ...
1
vote
2answers
574 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 ...
7
votes
1answer
205 views

How to get information from map using mouseover?

Assume I have the following zip code data: ...
1
vote
3answers
174 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
202 views

How to use the “EdgeLayout” suboption of GraphLayout?

According to the documentation, GraphLayout has an EdgeBundling suboption, which can take the following values: ...
16
votes
1answer
216 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 ...