[nilkn]

Another cool thing about the Sierpinski gasket is that it's possible to more or less do calculus on it. You can even define a Laplacian operator. There's actually a whole class of fractal-like sets on which this is possible, but SG has always been the prototypical one.

[X4]

I also thought about implementing a language that bases on this, a language that sees the world in all it's shapes as raw numbers, a matrix, renderable as graphs. This is so freaking awesome, that I cannot stop thinking about the crazy new ideas this injected into me and suspect that I'm probably becoming a numberphile.

Interestingly, I was just reading the Book (hardcover) with the recursive Title: "The Fractal Geometry of Nature" by Benoit Mandelbrot. And this brings an entirely new meaning into my world view after combining the ideas behind this and http://en.wikipedia.org/wiki/Multifractal_analysis#technique...