fom
Posts:
1,968
Registered:
12/4/12


Re: rational ngon inscribed in a unit circle
Posted:
Dec 11, 2013 4:01 PM


On 12/11/2013 2:27 PM, fom wrote: > 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? >
Sorry. That is probably wrong.
There may be some subclass for which the question may be reduced in that manner.

