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Aug 23, 2014 at 13:03 history edited Joseph O'Rourke CC BY-SA 3.0
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Aug 23, 2014 at 13:02 comment added Joseph O'Rourke Yes, this is the curve you mention. And you are right about the references: This was proved by Nudel'man in 1975. Tilli says that proving this is optimal among all curves is open as of 2010.
Aug 23, 2014 at 9:10 comment added Gjergji Zaimi This is the same as the curve mentioned in my answer, right? I believe the reference goes further back than 2010 :)
Aug 23, 2014 at 1:02 history answered Joseph O'Rourke CC BY-SA 3.0