14
votes
2answers
767 views

Drawing pairs (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 ...
17
votes
3answers
504 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 ...
4
votes
2answers
278 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. ...
61
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 ...
89
votes
7answers
14k 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 ...
37
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 ...
19
votes
5answers
928 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 ...
60
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): ...
18
votes
4answers
706 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 ...
93
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, ...
44
votes
6answers
6k views