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Any way to exclude branch-cut fills in this plot?

• To: mathgroup at smc.vnet.net
• Subject: [mg80409] Any way to exclude branch-cut fills in this plot?
• From: chuck009 <dmilioto at comcast.com>
• Date: Tue, 21 Aug 2007 05:10:26 -0400 (EDT)

Here's a principle sheet plot of the Mathieu complex exponent:

p4 = ParametricPlot3D[
     {Re[z], Im[z], Evaluate[Im[MathieuCharacteristicA[3, z]]]} /. 
       z -> r*Exp[I*t], {r, -10, 10}, {t, 0, 2*Pi}, 
  PlotPoints -> {40, 40}, 
     PlotRange -> All, Mesh -> All]

Note the cliffs at the branch-cuts.  Can anyone suggest a method to remove the fill to obtain a nice clean plot?

Thanks!
Charles

• Follow-Ups:
  • Re: Any way to exclude branch-cut fills in this plot?
    • From: Murray Eisenberg <murray@math.umass.edu>