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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.

6 votes
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93 views

Minimum area of the symmetric difference of odd number of translated copies of a unit circle...

Let $C$ be the unit circle in a plane. Take an odd number $n$ of translated copies of $C$ and take their symmetric difference $D$. Is it true that the area of $D$ should be at least that of $C$? If $C …
Jineon Baek's user avatar