Re: Plotting colorfunctions over multiple parametric curves

*To*: mathgroup at smc.vnet.net*Subject*: [mg125200] Re: Plotting colorfunctions over multiple parametric curves*From*: "djmpark" <djmpark at comcast.net>*Date*: Tue, 28 Feb 2012 00:46:34 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <5868125.5962.1330344098277.JavaMail.root@m06>

You will obtain better responses if you supply a completely evaluable example and not leave it up to responders to make up part of the input. David Park djmpark at comcast.net http://home.comcast.net/~djmpark/index.html From: Andrew Green [mailto:kiwibooga at googlemail.com] Hi there I am a bit stuck with this one. I have several curves (circles in this case) I want to plot at the same time. Each circle also has its own function defining a unique potential as a function of theta around the curve. I want to take advantage of Mathematica's colorfunction color scaling and show the potential around each curve in a color scaled to the min and max values for the entire set of circle potentials. I get about this far.... n = 5; (*number of circles*) potential[theta_, i_] := Sin[2*i*theta]; circle[i_, theta_] := {x[i] + r[i]*Cos[theta], y[i] + r[i]*Sin[theta]}; (*x,y, and r are earlier defined vectors of coordinates, radius*) ParametricPlot[ Evaluate@Table[circle[i, theta], {i, 1, n}], {theta, 0, 2 Pi}, PlotStyle -> Thick, Axes -> False, ColorFunction -> Function[{x, y, theta}, ColorData["TemperatureMap"][theta]]]; I can get a nice rainbow color around each circle but it is the same for all because I can only seem to define one colorfunction and cannot incorporate the potential function which varies for each circle "i". Any help would be most appreciated. Andrew Green