I wonder if they knew of the work of P. A. P. Moran that Erich referred to. On Fri, Aug 30, 2013 at 1:34 PM, Dan Asimov <dasimov@earthlink.net> wrote:
Apologies, but I misunderstood the problem as saying that the curve has to *lie* on the unit sphere.
The problem Allan asks was a problem that George Bergman and Wolfgang Kahane of U.C. Berkeley worked on informally around 2003 and solved -- and it was pretty hard. But I don't think they published, and I don't know what the answer is.
--Dan
On 2013-08-30, at 9:02 AM, Allan Wechsler wrote:
Which three-dimensional continuous differentiable curve of unit arc-length encloses the greatest volume in its convex hull? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun