Re: Plotting colorfunctions over multiple parametric curves

*To*: mathgroup at smc.vnet.net*Subject*: [mg125238] Re: Plotting colorfunctions over multiple parametric curves*From*: Andrew Green <kiwibooga at googlemail.com>*Date*: Thu, 1 Mar 2012 05:35:29 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Sorry if this post appears twice, after 24 hours and it not appearing I assumed I had done something wrong while posting. Thanks Bob. I tried what you said (see under), but the colorfunction does not seem to be scaling the potential function. For instance assigning the potential function to (1 + theta) will give all red as it seems to be clipping to the 0 and 1 levels. n = 3; XYR = ( { {-2.1, 0, 1.0}, {0, 0, 0.5}, {2.1, 0, 1.0} } ); x[i_] := XYR[[i, 1]]; y[i_] := XYR[[i, 2]]; r[i_] := XYR[[i, 3]]; potential[theta_, i_] := theta + 1.0; circle[i_, theta_] := {x[i] + r[i]*Cos[theta], y[i] + r[i]*Sin[theta]}; Show[Table[ ParametricPlot[circle[i, theta], {theta, 0, 2 Pi}, PlotStyle -> Thick, Axes -> False, ImageSize -> 200, ColorFunction -> Function[{x, y, theta}, ColorData["TemperatureMap"][potential[theta, i]]], ColorFunctionScaling -> True], {i, 1, n}], PlotRange -> All] Anymore thoughts ? Thanks Andrew