SphericalPlot3D ColorFunction problem

*To*: mathgroup at smc.vnet.net*Subject*: [mg104653] SphericalPlot3D ColorFunction problem*From*: Porscha Louise McRobbie <pmcrobbi at umich.edu>*Date*: Fri, 6 Nov 2009 05:14:36 -0500 (EST)

Hello, Can anyone explain why the following simple plot is a single color? SphericalPlot3D[Abs[Cos[t]], {t, 0, Pi}, {p, -Pi, Pi}, ColorFunction -> Function[{t}, Hue[Arg[Cos[t]]/(2. Pi)]], ColorFunctionScaling -> False] Arg[Cos[t]]/(2. Pi)] should be zero for t<Pi/2, and 0.5 for t>Pi/2, so I expect the the upper lobe of the plot to be red (Hue[0]) and the lower lobe to be cyan (Hue[0.5]). Is there something different about ColorFunctions in SphericalPlot3D compared with Plot3D? Any help is greatly appreciated! Porscha

**Follow-Ups**:**Re: SphericalPlot3D ColorFunction problem***From:*Patrick Scheibe <pscheibe@trm.uni-leipzig.de>

**Re: SphericalPlot3D ColorFunction problem***From:*Brett Champion <brettc@wolfram.com>