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Re: ParametricPlot3D Options

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43353] Re: ParametricPlot3D Options
  • From: "Steve Luttrell" <luttrell at _removemefirst_westmal.demon.co.uk>
  • Date: Tue, 26 Aug 2003 07:13:27 -0400 (EDT)
  • References: <bicgkf$1v7$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

My way of "rationalising" this way of using ParametricPlot3D is to imagine
that the fourth component represents an internal coordinate, so you have a
2-dimensional surface embedded in a 4-dimensional space rather than a
3-dimensional space. One way to represent this internal coordinate is to use
various graphics tricks (e.g. colour, etc). Turning this back to front, you
might as well place any parameter-dependent (or parameter-independent)
graphics in the fourth component.

However, I am perplexed that PlotStyle is not available (for
parameter-independent graphics) in addition to the above 4-dimensional
trick.

--
Steve Luttrell
West Malvern, UK

"Selwyn Hollis" <selwynh at earthlink.net> wrote in message
news:bicgkf$1v7$1 at smc.vnet.net...
> Ahh.. my own favorite, long-standing complaint: No PlotStyle option for
> ParametricPlot3D. Why this DESIGN FLAW still persists after all these
> years/versions is beyond me.
>
> Anyway, here's the arcane way to work around it:
>
> ParametricPlot3D[{Sin[t],Cost[t],t/10, {Hue[0],Thickness[.01]}},
> {t,0,4Pi}]
>
> -----
> Selwyn Hollis
> http://www.math.armstrong.edu/faculty/hollis
>
>
> On Sunday, August 24, 2003, at 04:55  AM, Flurchick, Kenneth M wrote:
>
> > GentleBeings
> > I have a ParametricPlot3D which is a line in space
> > I want to change the color and thickness of the line
> > in Plot this is PlotStyle
> > but Prolog and Shaw do not seem to work
> > Hints???
> > kenf
> >
> >
>



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