Point configurations that are asymmetric yet balanced

Abstract: A configuration of particles confined to a sphere is balanced if it is in equilibrium under all force laws (that act between pairs of points with strength given by a fixed function of distance). It is straightforward to show that every sufficiently symmetrical configuration is balanced, bu...

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Bibliographic Details
Main Authors: Cohn, Henry, Elkies, Noam D., Kumar, Abhinav, Shurmann, Achill
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2011
Online Access:http://hdl.handle.net/1721.1/60891
https://orcid.org/0000-0001-9261-4656