This report looked at the emergence of ordered complex structures from natural phenomena and iterative processes.

Primarily the investigation is concerned with fractals, complex shapes that tend to exhibit some sort of a pattern (e.g. snowflakes and coastlines). Formally a definition for a fractal is actually quite a nuanced problem and is not something that appears to have been completely settled in the literature: something discussed within the report.

In order to investigate fractals this report provides methods to generate a variety of self-similar and non-self-similar fractals and measures, a corresponding descriptive metric known as the “fractal dimension”.

**Developed by **

Ryan Greenup

James Guerra