Snakes and Math

A really cool and fast paced video by Vi Hart discusses knot theory and some aspects of topology. Her drawing is elegant, and the experiments she produces are captivating. Pick up a pencil when you have some time and enjoy the design possibilities of these techniques. She brings it to the table without a single number, but somehow, you understand the process is logical, and therefore expressible mathematically.

Math Glam: 3D Mandelbrot Images

Mandelbulb: The Unravelling of the Real 3D Mandelbrot Fractal
There are some astonishing images at this link, along with a little math, and a dab of graphics know how. The discussion brings in some aesthetic issues, like focus and zoom, plus lighting and coloration to demonstrate how to express the object to its best potential. If you don't care about all that, you'll still be hooked by the pictures.