(A) Distribution of cluster sizes in the vicinity of percolation transition (c
1 = 0.1, c
2 = 2.2·10−5, L = 3·104) from agent-based simulation (stars) superimposed with n(j), Eq. 7 (black solid line). Contributions from 1-segment (blue diamonds, r = 1), 3-segment (green circles, r = 3) and 5-segment (red crosses, r = 5) clusters are shown separately together with corresponding fits, Eq. 6 (colored dashed lines). (B) Typical configurations of clusters for r = 1, 2 and 3 segments (for clarity, bulk nodes are not shown). (C) Scattered plots of cluster size j vs. number of segments per cluster for different c
2 (legend) and c
1 = 10, L = 3·104. Note the elevated spread of cluster sizes in the vicinity of the critical point (yellow, green). The scatter slopes for various c
2 reflect change in the mean segment length.