A

fractal shape generated by

triangles onto triangles onto triangles...

To begin drawing a Koch snowflake, draw an equilateral triangle.

To continue drawing a Koch snowflake, trisect every line segment of the shape you have, and draw an equilateral triangle on the middle third of every line segment, pointing outward.

To continue drawing a Koch snowflake, trisect every line segment of the shape you have, and draw an equilateral triangle on the middle third of every line segment, pointing outward...

What you'd have, if you kept doing this for an infinite time, is a Koch snowflake. Since the Nth step requires that you draw 3^{(n-1)} triangles, you're likely to get tired well before the heat death of the universe.

But try it for a few steps: first a triangle, then the next step you've drawn a Star of David, then you've drawn something with more points, and then you can see basically what a Koch snowflake looks like.