Abstract
When points are distributed evenly on a hypocycloid path and animated along that path, they can be seen as clustering
together into “wheels”, groups of points that lie at the vertices of regular polygons and that rotate in synchrony. In some
cases the points can group into two different sets of wheels, rotating in opposite directions. I derive formulas that predict
the number of such wheels and the number of points on each one. The resulting animations are visually compelling and
reminiscent of the motion of balls or clubs in multi-person juggling patterns.
