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Re: including specific values in parametric plots

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  • Subject: [mg101420] Re: [mg101417] including specific values in parametric plots
  • From: "David Park" <djmpark at>
  • Date: Tue, 7 Jul 2009 05:04:11 -0400 (EDT)
  • References: <29578470.1246850855246.JavaMail.root@n11>

It would be nice if you could give a specific example that illustrated a
particular case of the problem.

You can use options such as MaxRecursion and PlotPoints to refine a plot. It
is possible to have the second iterator depend on the value of the first
iterator. (Version 6+)

RegionFunction can be used to tailor the boundary of a plotted region.

It's possible to piece together a larger region from subregions.

I don't think it is possible to specify that special points be hit, but I
might learn otherwise.

If members of this group saw a more specific example I think it is likely
there would be some solution.

David Park
djmpark at  

From: Michael Young [mailto:michaelcharlesyoung at] 


I am modeling mechanical components in Mathematica and there are  
places, (particularly where these must fit together), where the  
geometry of a piece must change.

Can I, (or how would I), instruct Mathematica's ParametricPlot and  
ParametricPlot3D symbols to include specific values within the  
parameter set, (to be located at the geometric boundaries)?

(e.g.) If X is a parameter being swept between -1 and 1, how would i  
instruct Mathematica to include the fixed values 0.522 and 0.824?

Further, if the precise location of a boundary is only known after  
parameter X is given; is there a way (based on that information) to  
instruct ParametricPlot3D to include a specific value within the range  
of the second parameter, Y?

Michael Young

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