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21. Practical methods for calculating fractal dimensions
21.1 Richardson and Mandelbrot's compass method
To calculate the dimension of a bounded simple planar curve X, Richardson (1961) and Mandelbrot's (1967) compass method consists in following this curve with a compass of aperture step equal to ε (ε > 0) and counting the number of steps n p (ε) taken to traverse it, then considering the following limit (if it exists) :
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