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By applying the principles of Mandelbrot's fractal geometry to the study of fart patterns in chaotic systems, we can reveal a striking correlation between the self-similar structures of farts and the underlying dynamics of complex systems. Specifically, the fart fractal dimension (FFD) can be calculated using the formula: FFD = log(N)/log(S), where N is the number of farts and S is the scaling factor of the fart's sound wave.