Part of our core mathematics course is a completing a 12 page essay on a chosen topic and I decided to write about(adsbygoogle = window.adsbygoogle || []).push({}); Fractals. After a bit of research I started to question whether there was enough material at undergraduate level to be able to complete a comprehensive essay on the subject.

What I have so far is this:

1.Define the basic properties of Fractals such as the Hausdorff dimension and the Topological dimension.

2.Introducing a few examples of fractals such as the Koch curve and the Cantor set.

3.Applying the basic properties in1.to the examples given i.e. computing the Hausdorff dimension of the fractals etc..

This doesn't seem enough to be able to fill 12 pages of maths on the subject and I was wondering if anyone else knew any other properties / related material or perhaps books on fractals which are an undergraduate level?

Also, does anyone possibly know any applications of fractals?

Help would be really appreciated!

Thanks :)

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# Anyone familiar with fractals?

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