On Tue, Mar 10, 2009 at 11:20 AM, Rob Beezer <[email protected]> wrote:
>
> Will that allow one to *explicitly* restrict a domain to a subset of
> what is the biggest possible?
>
> In other words, could I plot x^2+y^2 *only* above the circle (x-2)^2 +
> (y-3)^2=4?

For the current implicit_plot3d, if you mean above the interior of the
circle, then this would partly work.  The plotting draws
quadrilaterals in a grid, and you can tell it to discard any
quadrilateral that has a vertex outside the circle.  So you could get
your plot, but it would have a jagged outline, unless you used a very
large plot_points setting (which would make it very slow).  (This
isn't technically accurate, but it's close enough to understand the
issues here.)

If you mean above the boundary of the circle, then no -- there would
be no quadrilaterals with all four vertices directly above the
boundary of the circle, so all quadrilaterals would be discarded.

Of course, implicit_plot3d is a bad way to plot this function, because
it will be far slower than plot3d.

Carl

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