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pushing disks


Geometry

Kneser–Poulsen conjecture ★★★

Author(s): Kneser; Poulsen

Conjecture   If a finite set of unit balls in $ \mathbb{R}^n $ is rearranged so that the distance between each pair of centers does not decrease, then the volume of the union of the balls does not decrease.

Keywords: pushing disks

Posted by tchow
updated September 25th, 2008
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