fom
Posts:
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Registered:
12/4/12


Re: rational ngon inscribed in a unit circle
Posted:
Dec 11, 2013 3:27 PM


On 12/11/2013 1:50 PM, quasi wrote: > scattered wrote: >> quasi wrote: >>> >>> Call an ngon rational if all edge lengths are rational. >>> For n > 6, does there exist a rational ngon which can be >>> inscribed in a unit circle? >> >> Why not multiply your question by the LCM? When can ngons >> whose sides are integers be inscibed inside of a circle of >> integer radius? > > Yes, it's the same question. > > I just chose to state the question using radius 1 and rational > edge lengths. > > quasi >
If you state the question so that both the radius and the side are even natural numbers, would this not reduce to a question concerning Pythagorean triples?

