The snowflake curve is a fractal. It is also known as the Koch snowflake or Koch's island after Helge von Koch who first described it in 1904. To construct it, first draw a line segment AD. Next draw point B and C on AD so that AB, BC and CD all have the same length. Now draw a point E so that the triangle BCE is equilateral. Now erase segment BC. The shape that is left is called the motif of the snowflake curve.

On a separate piece of paper, draw an equilateral triangle with side length equal to the length of AD. Now replace each edge of the triangle with a copy of the motif so that the motif points away from the triangle. Now replace each of edge of what you have with a reduced (by one third) copy of the motif so that the...