February 17, 2008
Yigal Chripun Wrote:

> Daniel Lewis wrote:
> > Any infinite form can expand too.  Add a few digits to the end of Pi.
> You are wrong in you're reasoning. from wikipedia:
> "[Pi] represents the ratio of any circle
> <http://en.wikipedia.org/wiki/Circle>'s circumference to its diameter in
> Euclidean geometry <http://en.wikipedia.org/wiki/Euclidean_geometry>,
> which is the same as the ratio of a circle's area to the square of its
> radius."
> the number Pi is just a representation of said ratio, and any decimal
> representation of it is _not_ Pi itself but an approximation of it.
> 3.14 is not Pi but a number that is close to Pi, that's all.

Yeah.  I meant by means of refining the approximation.  It's a limit, and so you can continue to approach Pi indefinitely and still add to, or improve upon your approximation.  I'm hard up for an example.

Can someone provide a better one?