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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


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