Re: Colorfunction based upon flux direction

*To*: mathgroup at smc.vnet.net*Subject*: [mg86944] Re: Colorfunction based upon flux direction*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Thu, 27 Mar 2008 08:15:47 -0500 (EST)*References*: <fsd6ps$9hd$1@smc.vnet.net>

Hi, what direction ? in 2d there is only one angle and you can use the cyclic Hue[] color to draw the scalar angle as direction but in 3d ?? Needs["VectorFieldPlots`"] plt = ListVectorFieldPlot3D[ Flatten[Table[{{i, j, k}, {i, 2 j, -k}}, {i, 0, 1, 0.1}, {j, 0, 1, 0.1}, {k, 0, 1, 0.1}], 2], ScaleFactor -> 0.2] and Off[ArcTan::indet] (plt /. Line[{p1_, p2_}] :> {Hue[ArcTan @@ Take[p2 - p1, 2]/(2 Pi)], Line[{p1, p2}]}) /. Hue[_Interval] :> Sequence[] may give you an idea. Regards Jens ptk4m at virginia.edu wrote: > Hello, > > I'm quite new at using Mathematica and I am attempting to assign > colors to vector field data (3d magnetic flux) using the > ListVectorFieldPlot3D function. I would like to assign colors to the > vectors based upon the direction in which they point. Hue gives me a > color based upon vector magnitude - is there a simple way to color > vectors based upon direction? > > Thank you very much for your help. > > Patrick Keith-Hynes > University of Virginia Physics > >