# Fractal - Simple

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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.

The Koch snowflake. If you do this forever, you have a simple example of a well defined structure with a finite (and calculable) area, but an infinite perimeter.

Fractal | fractions

Fractal grasshopper | fractions

Fractals aren’t just pretty: they’re related to the even-cooler Pascal’s triangle. This triangle is an amazingly simple way to solve about a billion different types of equations, do complex math in your head, and, of course, make some really pretty patterns.

Very simple one, was only rotated twice

Simple recursive systems and fractal patterns