Quantitative comparison of ring density and diameter between simulations and experiments ( Methods provides details on the quantification and comparisons). The red solid line corresponds to the best match of filament flexibility and attraction ( ℱ = 40, ε = 0.1 k B T ). The number of rings was determined from 4, 4, 9, 11 and 3 independent experiments at Φ = 0.12, 0.23, 0.40, 0.50 and 0.60. The ring diameter was measured from n = 27, 15, 63, 65 and 17 randomly chosen rings out of the experiments at increasing packing fractions. The dotted lines represent the mean; the shaded area, the 95% confidence interval; and the error bars of experimentally determined values, the standard deviation.