It’s that time of year again; the new students have started at DIKU and start their careers as computer science students with the course DiMS — Discrete Mathematical Structures, taught from the book by the same name.

Part of the curriculum is learning about Hasse diagrams, which in essence are a way of easily visualizing the relationships between different elements under a partial order.

Now, a student came and asked me about how to draw these diagrams in Mathematica, so I got some code working which did just that. The resulting diagram, is the picture used for this post.

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Were you one of the kids who spent their days messing around with Logo, drawing whatever odd shapes came to mind?

You can now relive the past, for Thomas Edward Figg, or tef as he calls himself on Something Awful, has made a JavaScript-based Logo interpreter. Now you can watch the Koch snowflake, the Hilbert curve or whatever else your mind happens to think up unfold itself before your very eyes — without having to leave your browser window!

So I urge you, click on any of the examples I linked before — or if you’re extremely lazy, click here:

If you want example code to run, I can suggest checking out the Something Awful thread on papert by the developer himself.

Seeing that I am a student of mathematics, I was very pleased to see this on Digg:

Dr. Benoit Mandelbrot is an internationally acknowledged and recognized mathematician. He originated the field of fractal geometry, and showed how fractals occur in many diverse places, both in nature and mathematics.

Dr. Mandebrot published The Fractal Geometry of Nature (1982), recognized by The American Scientist as one of the most influential science books of the 20th Century.

SCIENCE AND SOCIETY was privileged to spend time with Dr. Mandelbrot. He discusses

- How fractal geometry help explain the problems of today
- Examples of fractals in nature and in engineering
- “Mathematical pictures”
- The relationship between fractal geometry and human nature
- The relationship of fractal patterns to human archetypes

Nothing too mathematically complex, but still a nice bit of talk about fractals, their uses and his inspiration.