Pythagoras Tree
Koch snowflake 

'The Colors Of Infinity' is an Arthur Clarke (Brithis science fiction writer author of '2001 Space Oyissey' for example) movie on the mathematical discover of Mandelbrot. On youtube you can watch all the documentary. Here the links: part 1, 2, 3, 4, 5, 6

Impossible fractal (by Ethan Hein)
Menger sponge (by Ethan Hein)