On Fri, Jul 6, 2012 at 10:06 PM, Matt Shepit <mshe...@gmail.com> wrote:
> Hi Chris,
>
> I think what you have described would only work if the sketch described a
> region that was strictly convex, which is a rather large restriction...

I believe that if you think of positive and negative areas it may
work.  Each "triangle" is formed by either clockwise or
counterclockwise movement to the next vertex.  If we consider
counterclockwise movement as positive then the sum of all the fans, in
the limit, should be the area.

-Tom

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