Re: SurfaceColor

• To: mathgroup at smc.vnet.net
• Subject: [mg70885] Re: SurfaceColor
• From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
• Date: Mon, 30 Oct 2006 05:33:26 -0500 (EST)
• References: <ei183j\$8he\$1@smc.vnet.net>

```The first 3 dimensions are used to specify position in "{x,y,z} space",
whereas the 4th dimension (i.e. the dimension that you have Appended) is
used to specify "position" in "colour specification space". This gives you
an extra (and very useful) dimension to play with when you are doing surface
plots.

This behaviour is exactly as promised in the Help Browser:

Steve Luttrell
West Malvern, UK

"dimitris" <dimmechan at yahoo.com> wrote in message
news:ei183j\$8he\$1 at smc.vnet.net...
> Hello to all.
>
> lst = {r*Cos[u], r*Sin[u], Sqrt[r]*Sin[u/2]};
>
> ParametricPlot3D[lst, {r, 0, 1}, {u, 0, 4*Pi}, PlotPoints -> {20, 60},
> Boxed -> False, Axes -> False];
>
> ParametricPlot3D[Append[lst, SurfaceColor[Hue[u/(4*Pi)]]], {r, 0, 1},
> {u, 0, 4*Pi}, PlotPoints -> {20, 60}, Boxed -> False,  Axes -> False];
>
> How exactly Mathematica produces the second plot?
> Is it possible to get the same output changing an option
> of ParametricPlot3D (e.g. ColorOutput)?
>
> FrontEndExecute[{HelpBrowserLookup["RegGuide", "SurfaceColor"]}]
>
> Thanks
> Dimitris
>

```

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