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Re: ParametricPlot3D

  • To: mathgroup at smc.vnet.net
  • Subject: [mg17695] Re: ParametricPlot3D
  • From: weber at math.uni-bonn.de (Matthias Weber)
  • Date: Fri, 21 May 1999 23:59:07 -0400
  • Organization: RHRZ - University of Bonn (Germany)
  • References: <7i3784$bi3@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <7i3784$bi3 at smc.vnet.net>, "E. Goris" <egoris at wins.uva.nl> wrote:

> I have a Problem using ParametricPlot3D
> 
> Suppose the following command:
> 
> ParametricPlot3D[{f1(x,y),f2(x,y),f3(x,y),{x,-100,100},{y,-100,100}]
> 
> Now I wondered wheter it is possible to tell mathematica to take 'more
> space between' the sample points as (x,y) gets further away from the
> origin (and less if (x,y) gets closer to the origin).
> 
> Evan

The coordinate mesh used by ParametricPlot3D is equidistant, so
you need to do the refinement by yourself. For example,

X[x_] := x^2;
Y[y_] := y^2;
ParametricPlot3D[{f1(X[x],Y[y]),f2(X[x],Y[y]),f3(X[x],Y[y]),{x,-10,10},{y,-10,10}]

I was hoping that Mathematica 4.0 would implement automatic mesh refinement...

Matthias


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