Rigid S4∩C2v-symmetric particles settling at low Reynolds number follow exactly solvable quasi-periodic trajectories whose horizontal projection traces rosettes with algebraically determined envelope radii and cusps.
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Exact solution for the motion of a rigid particle with $\boldsymbol{S_4}$ and $\boldsymbol{C_{2v}}$ symmetry settling under gravity in a viscous fluid
Rigid S4∩C2v-symmetric particles settling at low Reynolds number follow exactly solvable quasi-periodic trajectories whose horizontal projection traces rosettes with algebraically determined envelope radii and cusps.