Combinatorics and Space-Filling Curves

Robert Dickau has done many nice combinatorial diagrams with Mathematica. For example, here's some i like:

His home page has many more. You can also get many of his interactive Mathematica files at

You might also enjoy a combinatoric diagram i did. See: Number Of Ways To Loop n Points. (it was done with Mathematica v3. I'll update the notebook to v7 soon.)

loop thru n points

Possible loops with 5 points:

Many of Robert's work are about space filling curves. It is one of the math i learned in early 1990s that had a big effect on me. In short, it shows that there are same number of points of one side of a square to the square itself. At the time, it was a shock to mathematicians. See: Space-filling curve, and Xah's Top 10 Math Wonders.

Popular posts from this blog

11 Years of Writing About Emacs

does md5 creates more randomness?

Google Code shutting down, future of ErgoEmacs