Groups > comp.soft-sys.math.mathematica > #2334

color-coding two sets of plotted curves?

From	Dushan Mitrovich <dushanm@spinn.net>
Newsgroups	comp.soft-sys.math.mathematica
Subject	color-coding two sets of plotted curves?
Date	2011-05-13 10:27 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<iqj13a$rev$1@smc.vnet.net> (permalink)

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After a lot of experimentation I finally found a way to plot two sets of 
curves orthogonal using one color per set.  The following relates 
Bipolar and Cartesian coordinates, then plots the sets of coordinate 
lines Red and Blue:

xy[Xi_, Theta_] := {  Sinh[Xi]/(Cosh[Xi]+Cos[Theta]),
                     Sin[Theta]/(Cosh[Xi]+Cos[Theta])}

pXi = ParametricPlot[Evaluate@Table[xy[(j+1)/4, Pi u], {j,0,11}],
                      {u,-1,1}, PlotRange->{{0,4.2},{-2,2}},
                      PlotPoints->50, PlotStyle->{Red}];

pTheta = ParametricPlot[Evaluate@Table[xy[6 (u+1), j Pi/6], {j,0,11}],
                      {u,-1,1}, PlotRange->{{0,4.2},{-2,2}},
                      PlotPoints->50, PlotStyle->{Blue}];

Show[pXi,pTheta]

Everything else I tried plotted all the curves the same color.  Am I 
using the recommended approach or is there another, more direct one?

- Dushan

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color-coding two sets of plotted curves? Dushan Mitrovich <dushanm@spinn.net> - 2011-05-13 10:27 +0000
  Re: color-coding two sets of plotted curves? Peter Pein <petsie@dordos.net> - 2011-05-14 07:11 +0000

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