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Gomboc question

Why would a sphere drawn out to a single point not be a gomboc? A 3D shape with a 2D profile something that looks a bit like this....... C>

Its stable equilibrium would be the furthest position on the sperical half of the shape from the point. The unstable equilibrium point would be the point itself. Just a thought. I'm sure I'm missing something.

Fascinating article!

Jonathan

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