Doodling - it helps lots of us to think, but this video proves there is more to space filling fractal curves than meets the eye.

Fractals - don't you just love em.

But it can sometimes be a pain to have to pull out the Mandelbrot viewer or write some code just to explore a self-similar curve. So let's settle back and enjoy a few minutes with Vi Hart who seems to have a fascination with, and a knack of drawing, fractal squiggles as a way of learning more math in class than listening to the lecturer ever would.

The subtitle to this video is; "How to draw squiggles like a Hilbert" - raises the very interesting question of did Hilbert doodle and if so is that how he invented the space-filling Hilbert curve?

Your next mission is to find a way to make the Riemann hypothesis understandable and interesting in a five minute video.

Space-Filling Curves by InfinitudeTortoises
More Space filling curve T-Shirts

Further Reading

Fractals

Fractal Image Compression

Mandelbrot Zoomer in WPF

Silverlight Mandelbrot Zoomer

Julia meets HTML5

A 1K Mandelbrot set C program

Generative Art

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