Q: ??? Given the positions of the finger holes in a (spherical) wooden bowling ball, can we embed lumps of lead to make the ball fair? How unique is this solution?
"Fair" presumably means at least that
Is this sufficient? Can we do even this?
In the 2D case is condition 1 enough?
[TB, 24 Jan 2002]
A: Condition 1: If we can find the vertices of a tetrahedron containing the centre of the ball, then we can move the centre of mass to the centre of the ball by embedding masses at these vertices.
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