The visual art or other aesthetic results generated by Mathematica.

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95
votes
3answers
12k views

How to create word clouds?

Word clouds are rather useless fancy and visually appealing plots, where words are plotted with different sizes according to their frequency in a corpus. Many applications exist out there (Wordle, ...
92
votes
7answers
15k views

How to generate a random snowflake

'Tis the season... And it's about time I posed my first question on Mathematica Stack Exchange. So, here's an holiday quest for you Graphics (and P-Chem?) gurus. What is your best code for generating ...
64
votes
11answers
4k views

Artistic image vectorization

The question is how can we use Mathematica to create vectorized versions of low-resolution images? The goal is to get an image suitable for quality printing at any resolution. Since "true" ...
62
votes
6answers
6k views

Generating visually pleasing circle packs

EDIT: I want to thank you all guys for this unexpected intellectual and artistic journey. Hope you enjoyed as I did. I would like to generate a circle pack that ...
61
votes
8answers
12k views

How to make an inkblot?

How to effectively create a polygon that looks like a realistic inkblot? So far, I could come up with this (borrowing from Ed Pegg Jr.'s Rorschach demonstration): ...
48
votes
5answers
8k views

How to create hedcut style images?

Yesterday the hedcut style was brought up in chat. How can we create a hedcut-like style automatically in Mathematica, using a photograph as a starting point? I am looking to create a similar ...
44
votes
6answers
7k views
38
votes
5answers
4k views

How can this image (optical illusion) be created with Mathematica?

I came across this image the other day: and liked the sensation of it pulsing. I was wondering if anyone would know how to create something similar with Mathematica (without the Pink Floyd Dark ...
33
votes
5answers
2k views

Distribution of random points in 3D space to simulate the Crab Nebula

I'm generating some 3D models of planetary nebulae and supernova remnants for Celestia, a free OpenGL astronomy software. Currently, I know how to do it with random points inside a spherical shell. ...
30
votes
2answers
1k views

Generating “Penrose-style” drawings of surfaces

In The Road to Reality there are plots of surfaces that use a variable density of dots to suggest curvature. You can see some examples here and here. I suppose they've been drawn by Penrose, but ...
29
votes
9answers
4k views

How to create animated snowfall?

Well, the title is self-explanatory. What sorts of snowfall can we generate using Mathematica? There are two options I suggest to consider: 1) Continuous GIF animations with smallest possible number ...
25
votes
2answers
971 views

Sketch-type graphics with transparency and dashed hidden lines?

I'd like to create transparent graphs like the following from P1095, Calculus 6th Ed, by James Stewart. Can Mathematica accomplish this? By "transparent," I mean the ability to see the interior, ...
23
votes
3answers
691 views

Smooth Peter de Jong attractor

Today I was playing with Peter de Jong attractor. At the bottom of the page I've linked there are beautiful examples like: My attempts are not so great: It is around 10^5 points. For more than ...
21
votes
3answers
611 views

Composition à la Mondrian

I would like to paint something like this or,even better, like this I have tried ...
19
votes
5answers
980 views

Op-art Graphic Images

This image comes from Michael Trott's Mathematica Guidebook for Programming. It's just a chapter image though, and he doesn't show the code. I was wondering what would be the best approach to ...
18
votes
4answers
723 views

How to partition a disk into individually spaced bricks?

What I want to do is in any way produce a picture that looks like this Given a set of words, how can I partition a disk into bricks for these words, such that it looks good? Here is my sucky ...
17
votes
3answers
542 views

Creating sculptural forms using graphics primitives

This is a question based on this answer by halirutan. Some amazing images can be created with this code, and I was wondering whether it was possible to extend the principle to different shapes. I ...
16
votes
4answers
831 views

How to fill in an irregular border of an image

I have the following code which draws a graphic, and colors the regions in it different colors: ...
13
votes
2answers
830 views

Drawing pairs (planar graph, circle packing)

Circle packing theorem states: For every connected simple planar graph G there is a circle packing in the plane whose intersection graph is (isomorphic to) G. How to use Mathematica to draw examples ...
11
votes
1answer
461 views

Animating moving surface of torus

I would like to try to recreate something similar to Paolo Čerić's torus animation: I have isolated the moving surface torus section form this Wolfram Demonstration by Kevin Sonnanburg: ...
6
votes
3answers
468 views

How to randomly erode a 3D distribution of points with Mma 7.0?

Suppose we have a 3D distribution of points, like the spherical ball example below : ...
4
votes
2answers
298 views

Recognize simple shapes in an image and color them randomly?

I have an image of polygons built from a polar function (see below). I'd like to color each triangle or quadrilateral a random color. Firstly, I'm not sure how to separate the simple shapes. ...
3
votes
2answers
276 views

Colors associated to parts of a 3D distribution of points

Suppose we have a long list of random points (cartesian coordinates) in 3D space. coords := ...; Until now, I was associating colors in a radial way, from the ...
3
votes
3answers
231 views

Colorize a 3D distribution of points according to density

Suppose we have some random 3D distribution of points. I'll use the spherical ball defined below as an example and a starting point for the discussion here : ...
3
votes
0answers
85 views

Optimizing a bubble art code [duplicate]

Based on that website I wanted to recreate the same effect using Mathematica but with any picture given by the user. Thus I came up with the following code: ...
2
votes
1answer
364 views

Radial Random Walk

I'm trying to generate a spherical distribution of radial random walk points in 3D space. The following code works, but the random walk lines aren't radial. Why ? Where is my mistake ? ...
-4
votes
1answer
310 views

How to generate this fractal-like 3D distribution of points in Mma 7.0?

I would like to produce some 3D distributions of points using Mathematica 7.0, that look like the picture below : How could I do that ? What are your suggestions ? What Mma 7 codes could do a ...