quasi
Posts:
12,023
Registered:
7/15/05


Re: rational ngon inscribed in a unit circle
Posted:
Dec 12, 2013 5:43 PM


quasi wrote: > >Conjecture (1) [revised]: > >If n > 6, there does not exist a rational ngon with pairwise >distinct edge lengths and no two vertices diametrically >opposite which can be inscribed in a unit circle.
I meant: If n > 3.
For completeness, here's the full statement:
Conjecture (1) [revised]:
If n > 3, there does not exist a rational ngon with pairwise distinct edge lengths and no two vertices diametrically opposite which can be inscribed in a unit circle.
>Remark: > >I think I've made it harder to beat, but I suspect it will >still fail. In any case, it makes for a nice challenge.
quasi

