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Re: region bounded by surfaces

• To: mathgroup at smc.vnet.net
• Subject: [mg61166] Re: region bounded by surfaces
• From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
• Date: Tue, 11 Oct 2005 06:19:13 -0400 (EDT)
• Organization: Uni Leipzig
• References: <difq5e$f4f$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

and rewrite it into an implicit function, like
If[2 - y^2 - z^2 < 0 || 2 - y^2 - x^2 < 0, 1, 0]

and use ContourPlot3D[] does not help ??

You man also cut the two parametric surfaces with 
the implicit versions by hand.

Regards

  Jens

"David Turner" <dturner at faulkner.edu> schrieb im 
Newsbeitrag news:difq5e$f4f$1 at smc.vnet.net...
| Hello,
|
| I did not describe my problem accurately in 
surface intersection.  I should have said:
|
| I wish to plot the region bounded by the 
surfaces x = Sqrt[2 - y^2] and z = Sqrt[2 - y^2] 
which lies in the first octant.  I wish for the 
plot to be limitd to only the region bounded by 
the surfaces.  My best attempt is
|
| ParametricPlot3D[{{Sqrt[2-t^2+0.00001], t, u}, 
{u, t, Sqrt[2-t^2+0.00001]}},
| {t, 0, Sqrt[2]}, {u, 0, Sqrt[2]}, ViewPoint -> 
{2.75, 2.4, 1}];
|
| However, this shows more than the region bounded 
by the surfaces.
|
| Any ideas?
|
| Thanks in advance.
|