On the surface of a typical smooth 3D shape almost all points are NON-EQUILIBRIUM points. If the shape is supported on a horizontal plane at such a non-equilibrium point then it will roll off always in the same direction. Unstable equilibrium points are different: here the shape may roll off in any direction (depending on the initial push it gets from the experimenter). The Gömböc has exactly one such unstable equilibrium point (opposite to the single stable equilibrium where it is at rest).

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