According to MathWorld, "The Koch snowflake is a fractal curve, also known as the Koch island, which was first described by Helge von Koch in 1904. It is built by starting with an equilateral triangle, removing the inner third of each side, building another equilateral triangle at the location where the side was removed, and then repeating the process indefinitely."
And it looks a little something like this:
And here is what they look like when put into patterns:
Yes, mother nature is full of math, if one only knows where to look for it!