Roughness measurements of the beads used in our experiments and of flat surfaces used for contact angle measurements were performed using an optical profilometer (ZYGO Nexview). Here, roughness ξ is defined as the root mean square roughness. Using this instrument, we conducted roughness measurements on six different regions of both flat and spherical samples of PTFE, PS, and glass. The average and SD of these six values of ξ are shown in table S3.

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