62
votes
Accepted
45
votes
Accepted
Create the source image for this cool animated illusion
TUTORIAL
Import Image
img = Import["https://i.sstatic.net/xzcUg.jpg"]
Split into Components
Using this approach (credit: nikie):
...
- 24.3k
38
votes
How can we produce a graph layout with hierarchical edge bundling in Mathematica?
Update: I wrapped all this up into a small package for those who don't want to go through all the steps but would like to try this out anyway. Warning: There's not a lot of error checking and it may ...
- 236k
33
votes
Accepted
31
votes
Accepted
Can we make human skeleton walk? Attaching a natural human gait (model or data) to anatomic skeleton
Edit: Mapping BVH Data.
BVH data points are mapped to graph vertices, which are then manually assigned to corresponding bones.
Using the BVH archive from https://accad.osu.edu/sites/accad.osu.edu/...
- 6,326
30
votes
How to make a circular heat map or diagram in Mathematica?
A more flexible approach: Pre-process input data to construct a data set for SectorChart. To inject an angular gap in the chart, we add a last column to input data ...
- 401k
29
votes
Accepted
Sampling "nice" mandelbrot sets?
Excellent question. First I show the result where fractals are sorted from more to less "nice" or "interesting" by going from left to right and top to bottom. This is obvious to the naked eye. In my ...
- 73.4k
29
votes
Accepted
visualizing a normal mode vibration of a molecule in mathematica
Using a few undocumented functions that have been discussed here on the stack exchange before,
...
- 70.1k
28
votes
Accepted
How can I handle graphics or artworks with millions of points?
As you note, dealing with millions of points in Graphics will be slow to render. The usual approach for dealing with strange attractors of this sort, is to bin the ...
- 4,415
25
votes
Visualizing a holomorphic bijection between the unit disc and a domain
I would like to visualize this function by plotting the images of some horizontal lines inside D.
I believe you can gain more insight if you circumvent this ugliness of your mapping completely and ...
- 113k
24
votes
Accepted
How to solve the tsunami model and animate the shallow water wave?
The most hard part of OP's questions is the latter half of 1st one i.e.
solve the problem in a little faster or not so demanding-in-memory way.
I've found 2 solutions, one is easy but hard to extend,...
- 68.4k
23
votes
Accepted
Plot many curves on the same graph
Update 2: We can combine a toggler-bar legend and FlipView to control curve visibility by clicking on curves and/or legends. (Naturally this approach is less ...
- 401k
21
votes
Accepted
How to visualize a Cayley graph in this style?
The simple way:
g = CayleyGraph[
PermutationGroup[{Cycles[{{1, 2, 3}}], Cycles[{{1, 5}, {2, 4}}]}]]
...
- 236k
21
votes
Accepted
Plotting the Star of Bethlehem
Hint: $Z$ is the Jacobian for the transformation between $(x,y)$ and $(s,t)$ coordinates. No need to even define $Z$, no need to invert polynomials, no branch cuts.
...
- 49.8k
21
votes
Accepted
Bridget Riley - Movement in Squares and Circles
Since I like the color image more than the black-and-white...
...
- 25.1k
20
votes
Accepted
Multiple reflections of a laser beam in a triangle
Based on some geometric operations such as reflection and line-line intersection (LLI), I wrote up a small code. Hope this could be a starting point to build a more compact ...
- 458
20
votes
How to Make a Sankey Diagram
EDIT 01:
Found some time to package these in a function (see end of post for code).
It accepts an association as input, with the following key-value pairs:
...
- 4,415
20
votes
Accepted
Making an interactive visualization of the eigenvectors of two-dimensional matrices
The following is an attempt to recreate a similar sort of interactive visualization, showing the eigenvectors (when real), and how the various points of the unit circle are transformed by the matrix.
...
- 7,753
20
votes
Plotting the Star of Bethlehem
The noise in the picture given by OP seems to suggest random number has been used, so here's my trial:
...
- 68.4k
19
votes
Accepted
How to improve quality of this Plot3D
You can do it using ListPlot3D, and those effect go away
...
- 150k
19
votes
19
votes
Accepted
Glowing weighted graph (network): vertices and edges
You can get an overall glow effect by an ImageAdd with a blurred copy of the image mask. Admittedly it's a bit basic, but the effect is compelling. I chose to make ...
- 25.9k
18
votes
Finding and visualization of branch cuts and branch points
Perhaps you can make use of the internal functions ComplexAnalysis`BranchCuts and ComplexAnalysis`BranchPoints. First, use a ...
- 132k
18
votes
Accepted
WordCloud: do not eliminate duplicates
Make it render the same but be a different thing:
RawBoxes @ TagBox[ToBoxes[#], Unique@#] & /@ {foo, foo, foo} // WordCloud
Or shorter but less documented:
<...
- 138k
18
votes
WordCloud: do not eliminate duplicates
lst = {"foo","foo","foo"};
WordCloud @ MapIndexed[Interpretation] @ lst
Also
...
- 401k
18
votes
Accepted
Generating set partition diagrams
I need to reproduce this diagram ...
We can use the function blobF from this answer to generate blobs around subsets:
...
- 401k
18
votes
Plotting the Star of Bethlehem
A compiled version of @Roman's idea (binning code adapted from this answer):
...
- 4,415
17
votes
How to plot planar graphs in a visually pleasing way?
One possibility is to first lay out the graph using Mathematica's "PlanarEmbedding". This ensures no edge crossings, but the output is not pleasing. Then use the ...
17
votes
17
votes
Bridget Riley - Movement in Squares and Circles
I suggest to use Texture together with Plot3D. This results in a rather short code and allows for many generalisations.
...
- 19.7k
Only top scored, non community-wiki answers of a minimum length are eligible