Re: Plotting a line with color changing as a function of position

*To*: mathgroup at smc.vnet.net*Subject*: [mg124263] Re: Plotting a line with color changing as a function of position*From*: Dan <dflatin at rcn.com>*Date*: Sat, 14 Jan 2012 17:15:37 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <jercj4$1c7$1@smc.vnet.net>

It turns out that there is a capability that will do just what you want, ColorFunction. Look it up in the online help for more information. Here is an example: Module[{x1 = 0, y1 = 0, x2 = 10, y2 = 10, m, b}, m = (y2 - y1)/(x2 - x1); b = (x2*y1 - x1*y2)/(x2 - x1); Plot[m*x + b, {x, -1, 11}, ColorFunction -> Function[{x, y}, Hue[Cos[Norm[{x, y} - {x1, y1}]]]], ColorFunctionScaling -> False, PlotStyle -> Directive at {Thickness[0.01]} ] ] In order to vary thickness or dash interval I think you will have to build the plot through construction. Thickness could be managed with the Filling option for Plot using two curves. On Jan 14, 2:58 am, "Eric Michielssen" <emich... at eecs.umich.edu> wrote: > Hello, > > I would like to plot/draw a line between two points p1= (x1,y1} and > p2={x2,y2}, and I would like the line color (preferred) or thickness or dash > density to be reflective of a known function f(d) that measures the > distance d from p1 to the point on the line. > > Say p1={x1,y1}={0.,0.}, p2={10.,10}, and f[d_]:=Cos[d]. > > Is this possible? > > Thanks! > Eric > > Eric Michielssen