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Re: gradient in ParametricPlot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59387] Re: gradient in ParametricPlot
  • From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 8 Aug 2005 03:34:34 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <dd4f7f$hr8$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

what gradient ? A parametric curve  has a tangent 
vector, a normal
and a bi-normal but no gradient

BTW the colors for 3d lines seems to be broken in 
Mathematica 5.1
but MathGL3d will show you the colors  from a
gg = ParametricPlot3D[{Sin[t], Cos[t], Sin[2t],
RGBColor[t/(2Pi), 1 - t, 1]}, {t, 0, 2Pi}]

call. You may also force to convert the 
Graphics3D[] into a

Graphics[] with

Show[Graphics[gg]]

and you get the colors back.


Regards
  Jens
"Daniele Lupo" 
<danwolf80_no_spam_please_ at libero.it> schrieb im 
Newsbeitrag news:dd4f7f$hr8$1 at smc.vnet.net...
| Hi.
|
| I'd like to plot a ParametricPlot graphic image. 
It's easy, but I'd like
| also to color the curve obtained according to a 
gradient (Hue, for
| example), so the line changes color according 
the parameter value. In this
| case if the coordinates are {t Sin[t], t Cos[t]} 
the point at t=value will
| be colored as Hue[value]. There's a way to do 
this, instead to have a line
| with a costant color defined by StylePlot?
|
| I've obtained this in a ParametricPlot3D, using
| 
{x[u,v],y[u,v],z[u,v],{SurfaceColor[Hue[f[u,v]]]}} 
(thanks to Davin Park
| example in a my previous post about ellipsoid), 
but this does not works in
| 2D case (there's no surfaces...)
|
| Thanks for answers
|
| Daniele
| 



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