color in SphericalPlot3D

*To*: mathgroup at smc.vnet.net*Subject*: [mg47997] color in SphericalPlot3D*From*: "Maurits Haverkort" <Haverkort at ph2.uni-koeln.de>*Date*: Wed, 5 May 2004 08:11:03 -0400 (EDT)*References*: <c778ms$hf7$1@smc.vnet.net> <200405041103.HAA02766@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

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

**References**:**Re: Do Modules Produce Side Effects?***From:*Peter Hahn <pg.hahn@arcor.de>