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Analysis of emergent patterns in crossing flows of pedestrians reveals an invariant of ‘stripe’ formation in human data

Fig 10

Width of stripes as a function of time.

Figure shows variation of stripe width as a function of time for all the stripes from a trial for two typical trials with (a) α = 89.8° and (b) α = 116.9°. Time t has been scaled as . Thus, t = T_i and t = T_f correspond to the scaled values of 0 and 1 respectively, which are shown by vertical dashed lines in the figure. For almost all the cases, we see that the width of the stripe attains a global minimum within the interval 0 and 1, which represents the ‘squeezing’ of stripes.

doi: https://doi.org/10.1371/journal.pcbi.1010210.g010