# simple curves controlling complex shapes

## summary

In the figure above, the two curves on top fully represent the more complex
shape on the bottom. This was done by proving that simple curves, known as
Bézier curves, are a type of fractal, meaning that these curves are
made up of smaller copies of themselves. This enables us to put more than
one of these curves together and represent a more complex fractal represented
by *sets of Bézier curves*, allowing us to represent complex
fractals using simple curves, and to animate complex fractals by making simple
changes to the Bézier curves.

## media

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