Koch Curve Students use hexagonal graph paper to create a Koch Curve fractal, by repeating a simple substitution process. They fill out a table to discover the pattern relating the number of segments to the total length of the curve. Finally, connections are drawn between this geometric fractal and naturally occurring fractal patterns such as snowflakes and coastlines.
Really cool fractal patterns. Fractals are shapes that are infinitely self-similar at every scale of magnification. So as you zoom in on each little squiggly arm, you realize that it also possesses its own squiggly arms that are the same shape as itself, and you can zoom inwards into infinity finding the same patterns forever.