Date: Wed, 8 Feb 1995 18:19:18 -0500 From: Douglas Rogers Subject: Distributing points on the sphere To: cipra@stolaf.edu Cc: esaff@math.usf.edu, k.tognetti@uow.edu.au, rusin@math.niu.edu, zhou@math.usf.edu Barry Cipra, 305, Oxford Street, Northfield, MN 55057. Hardly a week passes without someone somewhere wondering how to distribute points "evenly" on a sphere. When I was in Australia last year, Keith Tognetti , of the University of Wollongong, asked a problem of this sort for the disk. When I arrived here in Tampa, I discovered that a group under Ed. Saff had made substantial computational inroads into variants of the problem for the sphere, examining various different "energies" which might be associated with such distributions. David Rusin , of Northern Illinois University, has also made a compilation of material on the subject. It is a natural topic for one of your articles in SIAM News (or What is Happening in the Mathematical Sciences). The pictures computed by Zhou Yangmu would particularly lend themself to such an exposition. I am sure that Ed. Saff would be delighted to assist you, in the context of the constructive approximation group here. DGR.