Figure 5

<p>Assessment of the fractal dimension associated with the representations of the <i>Drosophila</i> flights. The average number, <i>n_l</i>, of boxes of size <i>l_box</i> required to enclose the representations of the 3-dimensional <i>Drosophila</i> flights is plotted against <i>l_box</i> (dots). A power-law relationship of the form would be indicative of a scale-free characteristic with fractal dimension D, and here, a linear least squares fit shows that D = 1.2. Fractal scaling is evident for spatial scales between about 5 and 75 mm. The insert shows the same plot for a series of simulated Lévy-flights with <i>μ</i> = 2.