A sphere has no corners or edges that get broken off. Unfortunately, it rolls away on non-flat surfaces.
A flattened sphere won't roll away. Ellipsoid with two axes the same, one axis shorter. However, if it ever gets on its side and propelled, it might go quite a ways rolling like a wheel. Angular moment of inertia.
Ellipsoid with all three axes doesn't have the problem. What is the optimal shape?
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