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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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