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3D surface plots - non deletion of data inside undesirable Range

  • To: mathgroup at smc.vnet.net
  • Subject: [mg116353] 3D surface plots - non deletion of data inside undesirable Range
  • From: Narasimham <mathma18 at hotmail.com>
  • Date: Fri, 11 Feb 2011 04:19:20 -0500 (EST)

a=2;b=1;c=3;gl={a Cos[ph-th],b Sin[ph-th],c Sin[ph+th]}/Cos[ph+th];
GL1=ParametricPlot3D[gl,{th,-Pi/4,Pi/4},{ph,-Pi/4,Pi/4},PlotRange-
>{{-3,3},{-3,3},{-3,3}}]
GL2=ParametricPlot3D[gl,{th,-Pi/3,Pi/3},{ph,-Pi/3,Pi/3},PlotRange-
>{{-3,3},{-3,3},{-3,3}}]
Show[GL1,GL2]

Extended plot limits in GL2 beyond those of GL1 result in 3D plot that
fail to delete undesired spurious tracing/tracking data between points
not lying on the required surface.Like 'pen up' data in earlier
graphing s/w. It is OK may be to plot an enclosed solid, but not for a
surface. The difficulty also appeared in earlier Mathematica versions.
Is there then, no work around possible?

Best Regards
Narasimham


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