It's fairly easy.  Start with the regular tiling of the plane by
hexagons.  Now inscribe a circle in each hexagon (so you end up
with rows of circles, with alternate rows staggered by half width).
A little simple mathematics shows that the area of each circle is
just over 90% of the area of the circumscribed hexagon.

On Mon, Apr 27, 2009 at 09:10:02AM +0200, Thibouille wrote:
> I highly doubt that but would like to be proven wrong, please do :)
> 
> On Sun, Apr 26, 2009 at 11:39 PM, John Francis <[email protected]> wrote:
> >
> > Not really. ?While you can pack rectangular sensors at 100% efficiency,
> > you don't lose that much using circular sensors - the obvious layout
> > only wastes a little less than 10% of the total area. ?and that's if
> > you assume infinite wafer sizes - for current wafer sizes losses at
> > the edge are going to be at least as much. ?It's even possible that
> > for some wafer sizes a circular sensor results in less area wastage.
> >
> > On Sun, Apr 26, 2009 at 11:03:00PM +0200, Thibouille wrote:
> >> No, t would waste a lot more materials on a manufacturing point of
> >> view and as a consequence, pice would sky rocket.
> >>
> >> On Sun, Apr 26, 2009 at 9:22 PM, Joseph McAllister <[email protected]> 
> >> wrote:
> >> > Yes, it would make more sense and waste less raw materials if the sensor 
> >> > was
> >> > a 36mm circular one.
> >
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