Fig. 8: Calculation of the coiling frequency.
a The trajectory of a PS particle near the filament moving up from the droplet to the surface of the bulk solution (102.8 to 109.8 s in Supplementary Movie 5). b Depth-dependent vertical velocity U(z) of a PS particle near the filament moving up from the droplet to the surface of the bulk solution (102.8 to 109.8 s in Supplementary Movie 5). c Coiling frequency fpredicted(t) predicted from Eq. (1), where the effective velocity U0 and fall height Heff are determined as explained in the text. For comparison, the fr(t) curve (red) obtained from the rotation of the spiral patterns in the same system is also shown.
