Fractals are complex patterns that show the same details at different scales.
Although fractals are very complex shapes, they are formed by repeating a simple process over and over.
This means you can zoom into a fractal and find the same pattern/shape deeper and deeper, over and over again.
We can find fractals all over the natural world. They appear from tiny patterns like in seashells, right up to the giant spirals of the galaxies.
For a few examples of natural fractals. we can also find fractals in: Trees, river networks, mountain rangers, coastlines, lightning bolts, even blood vessels and flowers.
We can look at a fractal as a picture that tells a story of the natural processes that formed it.
One of the great things about fractals is that even if you don’t think you know anything at all about fractals yet,
you actually already do, because you’ve grown up in a world full of fractals.
Both natural and mathematical fractals can be extremely beautiful and one of the extraordinary things about learning fractals, is to discover that Science, Maths and Art are intimately related.
Fractals are full of meaning.
They are patterns that tell stories. Fractals are the pictures of Chaos Theory, the study of unpredictable, dynamic systems.
We will use fractals to learn the fundamental lesson of Chaos Theory, that small changes can lead to big differences.
Finally, fractals can be very useful and we will use some examples of fractals, in engineering, medicine, electronics and even in the design of cities.
Studying fractals can lead to a deeper understanding of the patterns of nature and the ways in which a wide range of seemingly different systems are actually interconnected.