Benoît B. Mandelbrot, the father of fractal geometry passed away 2 weeks ago. Amongst a list of other accomplishments, he coined the term fractal and described the Mandelbrot set.
As a little homage to him I created these images with the open source fractal tool Xaos, using the mandelbrot formula and the edge detection filter.
Examining coastlines, he found that while the lines on maps featured bays, they did not feature the small bays that are within the bays, or the small structures within the small bays, and so on.
In a seminal essay entitled How Long Is the Coast of Britain? (1967), Mandelbrot showed that the answer to that question depends on the scale at which one measures it: the coastline grows longer as one takes into account first every bay or inlet, then every stone, then every grain of sand.