Figure 1
From: Singularity of the time-energy uncertainty in adiabatic perturbation and cycloids on a Bloch sphere

Cycloids on a Bloch sphere.
As the rotating magnetic field traces the blue line, the Bloch vector makes various trajectories in red: (a) the exact cycloid, (b) prolate cycloid, (c) curtate cycloid and (d) the axis trajectory, depending on the initial conditions.