In article <email@example.com>, firstname.lastname@example.org wrote:
> Den fredagen den 2:e augusti 2013 kl. 12:49:31 UTC+2 skrev Richard Tobin: > > In article <email@example.com>, > > > > <firstname.lastname@example.org> wrote: > > > > > > > > >But one 1/phi is not a rational ratio, but the 1/6 hexagon (center to > > > > >vertex/sum of sides) is and so is all polygons derived from multiplying > > > > >the vertices. > > > > > > > > You were claiming that pi is rational. It is not. > > > > > > > > -- Richard > > And it is because as you double up the vertices of a hexagon and get smooth > round, the sum of side lengths / radius approach a limit. And that limit is a > rational.
Every irrational is the limit of a sequence of rationals, so being the limit of such a sequence does not prove rationality. . So until you can show us a rational (ratio of integers) exactly equal to pi, we will continue to hold that your claims of the rationality of pi to be false. --