Sliding on a Spinning Cuboid

Which way is downhill on a spinning asteroid? Comet nuclei and asteroids like 67P, Ryuga, and Bennu are too small to gravitationally pull themselves into spheres. As spacecraft like Rosetta, Hayabusa2, and OSIRIS-REx visit them, a better understanding of the surface motion of regolith and boulders, as well as hoppers, landers, and rovers, is needed. For a theoretical overview, previous work studied the frictionless sliding of point masses on spinning asteroids idealized as rotating spheroids. In this work, we concentrate the curvature into 12 edges and study the periodic and chaotic motion of point masses sliding frictionlessly on rotating cuboids.