Diego Saravia pointed us to a video clip showing the dynamic effect of spinning an object on its intermediate axis of inertia.This looks quite strange in a zero-gravity field. I am reminded of two other effects: floating a cube on water and floating a magnet in air, both of which have a paradoxical aspect
A Quora user asked for the relative density of a unit cube which floats with a visible height of one tenth its unit length.One can suppose a cube might float with a face up, and edge up or a vertex up.It turns out that for a range of relative densities, the cube does NOT float face up, but rather with its top face at some lazy angle (e.g around 11 degrees) to the water surface http://geofhagopian.net/M1B/M1B-Spring10/HowThingsFloat.pdf