Pattern formation in coiling of falling viscous threads: Revisiting the geometric model

A flowing viscous thread in contact with a moving platform forms intricate patterns. The shape of these patterns depends on the fall height and the platform's speed. At moderate fall heights, these patterns can be reproduced using a model based on the no-slip condition and the curvature of the thread at the contact point. We re-examine these patterns experimentally and revisit the model computationally. We discover new patterns in both cases, highlighting the presence of greater complexity within the phenomenon than known previously.