A Potato Problem
During dinner, a half-bearded friend of yours has given you two potatoes and a pen. He has given you a challenge!
He challenges you to draw 2 closed paths of a finite length (they are not dots), one on each potato, such that both paths are congruent to each other.
Now, these potatoes are very lumpy and are of different sizes, but can you still do it?
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Consider the surfaces of each potato as a region of points, namely A and B . Bring A and B together so that they are intersecting each other, but not tangent to each other. Thus, the points in A ∩ B with both these regions will form your desired path since they must be congruent!