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RE: color in SphericalPlot3D

• To: mathgroup at smc.vnet.net
• Subject: [mg48020] RE: [mg47997] color in SphericalPlot3D
• From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
• Date: Fri, 7 May 2004 04:29:39 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com
• Thread-topic: [mg47997] color in SphericalPlot3D

>-----Original Message-----
>From: Maurits Haverkort [mailto:Haverkort at ph2.uni-koeln.de]
To: mathgroup at smc.vnet.net
>Sent: Wednesday, May 05, 2004 2:11 PM
>To: mathgroup at smc.vnet.net
>Subject: [mg48020] [mg47997] color in SphericalPlot3D
>
>
>Dear All
>
>I have a complex function R(t_,f_) of wich I would like to plot
>R*Conjugate[R] in 3D. So far no problem, SphericalPlot3D does 
>this for me.
>But I want to conserve phase information, wich I want to put 
>in the color.
>(positive red, negative blue, complex purple). For Real 
>functions R(t_,f_) I
>made the folowing notebook that does not work. It should plot first the
>function for R>0 in red and then the part for R<0 in blue. 
>After combining
>the two plots with show everything is blue. Has this problem 
>been solved
>before? Does anybody know how to asign a color to the surface 
>of a Spherical
>3D plot?
>
>Needs["Graphics`ParametricPlot3D`"];
>
>
>R = FullSimplify[SphericalHarmonicY[2, 2, t, f] + 
>SphericalHarmonicY[2, -2,
>t, f]];
>plotpos = SphericalPlot3D[If[R >= 0, R Conjugate[R], 0], {t, 
>0, \[Pi]}, {f,
>0, 2\[Pi]}, LightSources -> {{{1, 1, 1}, RGBColor[1, 0, 0]}}];
>plotneg = SphericalPlot3D[If[R <= 0, R Conjugate[R], 0], {t, 
>0, \[Pi]}, {f,
>0, 2\[Pi]}, LightSources -> {{{1, 1, 1}, RGBColor[0, 0, 1]}}];
>Show[plotneg, plotpos]
>
>Thanks,
>Maurits Haverkort
>
>


It's quite simple, as SphericalPlot3D descends from ParametricPlot3D, its retains the optional style component, e.g.:

<< Graphics`ParametricPlot3D`
<< Graphics`ArgColors`

SphericalPlot3D[
  Evaluate[Through[{Abs, ArgColor}[
            SphericalHarmonicY[2, 1, theta, phi] ]]],
     {theta, 0., Pi}, {phi, 0., 2 Pi},
     Lighting -> False, PlotPoints -> 50]


You must, however, turn the Lighting off.


--
Hartmut Wolf