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Re: Colorfunction based upon flux direction
*To*: mathgroup at smc.vnet.net
*Subject*: [mg87184] Re: Colorfunction based upon flux direction
*From*: dh <dh at metrohm.ch>
*Date*: Thu, 3 Apr 2008 05:16:56 -0500 (EST)
*References*: <fsd6ps$9hd$1@smc.vnet.net>
Hi Patrick,
I answered this question 5 days ago, but it never made it to the group.
Here it is the answer again:
in ListVectorFieldPlot3D the color function gets the magnitude of the
vector as argument. Therefore, there is no direction info available. You
must use a trick to do this, e.g. you could use a counter to access the
original vectors:
n=5;
d=Table[r=rad{Sin[p1]Sin[p2],Sin[p1]Cos[p2],Cos[p1]};{r,r},{rad,0.01,1,1/n},{p1,0,Pi,Pi/n},{p2,0,2
Pi,Pi/n}];
d=Flatten[d,2];
count=0;
ListVectorFieldPlot3D[d,ColorFunction->Function[{x},Hue[r=
d[[++count,2]];0.5+0.5 r.{1,0,0}/Sqrt[ r.r]]]]
hope this helps, Daniel
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
>
>
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