  Chiral objects have intrigued scientists across several disciplines,
including mathematics, crystallography, chemistry, and biology. A M\"obius
band, an emblematic chiral structure, can be made by connecting the ends of a
strip after applying an odd number of twists. Traditionally, the direction of
the twist governs its rotational behaviour during sedimentation in a fluid.
Here, we present experimental and computational investigations of
triply-twisted M\"obius bands boasting threefold rotational symmetry that
challenge this prevailing understanding. We explore three types of bands with
different curvatures, each defined by its construction method. Experimental
observations reveal that all three types of bands align axially and exhibit
rotational motion during sedimentation. Surprisingly, for only one type of band
the spinning direction (chiral hydrodynamic response) departs from
expectations; it is not solely determined by the twist direction but changes
with the aspect ratio of the band. Numerical simulations corroborate this
observation, and an in-depth analysis of the resistance tensors of each type of
band sheds light on the possible causes of this transition. We propose that
modifications in fluid-induced drag, combined with inertial effects, underpin
this phenomenon. Our study challenges existing knowledge of chiral object
hydrodynamics, enriching our understanding of complex fluid dynamics. Moreover,
it offers transformative potential across diverse fields, promising
advancements in mixing, separation processes, and innovative passive swimmers.
