What pushes something towards fractal-ity?
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Fractals are objects that are “rough” however far you zoom in on them. The easiest way to see this is in ‘traditional’, self-similar fractals such as the Sierpinski triangle or the Koch curve. However, this “rough”ness can also be seen in things like the coastline of Britain or Norway. The “rough”ness of a fractal can be quantified in a number called the Hausdorff dimension, which extends the concept of integer dimensions to fractional dimensions. For example, the Hausdorff dimensions of the Sierpinski triangle and the Koch curve are 1.585 and 1.262, respectively; the coastlines of Britain and Norway are 1.25-dimensional and 1.52-dimensional, respectively.
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