This tool below will allow you to experiment with the Koch curve. Starting with iteration 1 (the "Iter 1" button), press each successive iteration. Note that even though the mathematical description allows us to go to infinity, for a practical fractal we can just choose the range of scales we want (#7 takes us down to the resolution of the screen). How many orders of magnitude does this fractal cover?

This is the "Draw Mode" for the fractal explorer. Don't press "Edit Mode" just yet!