Continue ad infinitum. The von Koch curve has infinite length (even though it is contained inside a region of finite area). The christmas tree fractal. (Larger view: white on black, black on white .) ...

(1) Make sketches of the Cantor set and the von Koch curve and indicate on your sketch the regions with addresses ... (Note that each iteration of the IFS - if you were drawing the fractal by ...

Fractals are mathematical curves that are made up of ever smaller ... One straightforward but still fascinating fractal is the Koch snowflake. To build your own, start with a straight line.