Re: SphericalPlot3D ColorFunction problem

*To*: mathgroup at smc.vnet.net*Subject*: [mg104678] Re: [mg104653] SphericalPlot3D ColorFunction problem*From*: Brett Champion <brettc at wolfram.com>*Date*: Sat, 7 Nov 2009 06:43:54 -0500 (EST)*References*: <200911061014.FAA07949@smc.vnet.net>

On Nov 6, 2009, at 4:14 AM, Porscha Louise McRobbie wrote: > 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! You want: ColorFunction -> Function[{x, y, z, t, p, r}, Hue[Arg[Cos[t]]/(2. Pi)]] Even though you refer to it as t, the parameter in your function is being passed the x values. Brett Champion Wolfram Research

**References**:**SphericalPlot3D ColorFunction problem***From:*Porscha Louise McRobbie <pmcrobbi@umich.edu>