And just like the spinning top pointing against the downward force of gravity to stay vertical, the spinning football wants to push against the main force acting against it.
So over time, through collisions and crashes, the cloud loses its loft and flattens into a spinning, roughly 2 dimensional disk shape, like a solar system or a spiral galaxy.
Geometrically, a four-dimensional creature would be able to look at those two perpendicular rotations that I just described and understand that they lock you into one and only one rigid motion for the hypersphere.