| He showed how fractals can occur in many different places in both mathematics and elsewhere in nature. |
| Some of the complexity has been captured in modern pictures of fractals, many of which are created by iterating functions of this kind. |
| Strange attractors have detailed structure on all scales of magnification and were one of the early fractals to be studied. |
| For example, we observe the presence of coexisting lipid phases and unstable domain growth that results in patterns such as fractals. |
| Mathematicians have long been taken with the concept of fractals, which posits that patterns are made up of smaller, self-contained patterns. |
| The approach of this paper was originally developed in to study the Hausdorff measure of certain parameterized families of fractals. |
