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

Fig 4

Pictorial representation of the edge-cutting algorithm.

Figure demonstrates the working process of the edge-cutting algorithm as a sequence of time. Here we show the process for two typical trials with α = 89.8° and α = 116.9°. Red and blue arrows indicate the direction of motion of the two groups represented by red and blue dots respectively. The lines connecting the dots in each of the groups are considered as the virtual bonds or ‘edges’ which are suppressed when cut by a pedestrian on the other group (see Materials and methods). The figures are shown for three instances, viz. Ti, (Ti + Tf)/2 and Tf. Ti and Tf denote the instances of time when the first and last edge-cut take place respectively. The edge-cutting process for the entire course of time for these two trials are shown as videos in supplementary materials (S2 and S3 Videos).

Fig 4

doi: https://doi.org/10.1371/journal.pcbi.1010210.g004