Re: Scalar plot in 3D

*To*: mathgroup at smc.vnet.net*Subject*: [mg96409] Re: Scalar plot in 3D*From*: dh <dh at metrohm.com>*Date*: Fri, 13 Feb 2009 03:41:22 -0500 (EST)*References*: <gn11bt$7tg$1@smc.vnet.net>

Hi Franco, here is an example where the z-value is color coded: ParametricPlot3D[{{4 + (3 + Cos[v]) Sin[u], 4 + (3 + Cos[v]) Cos[u], 4 + Sin[v]}}, {u, 0, 2 Pi}, {v, 0, 2 Pi}, ColorFunction -> Function[{x, y, z}, Hue[z]]] her another one where the distance from the origin defines the color: ParametricPlot3D[{{4 + (3 + Cos[v]) Sin[u], 4 + (3 + Cos[v]) Cos[u], 4 + Sin[v]}}, {u, 0, 2 Pi}, {v, 0, 2 Pi}, ColorFunction -> Function[{x, y, z}, Hue[Norm[{x, y, z}]]]] hope this helps, Daniel Franco Milicchio wrote: > Hi everyone! I am still struggling with my "rendering hassles" :) > I don't really know how to implement this in Mathematica, although the idea > is quite simple. I have a list of points in 3D, their relative scalar value, > and I'd like to have them nicely rendered on the domain on which they are > defined. In other words, I have sampled a scalar field on a torus, and I'd > like to plot its value (by hue or any other color means). Simple as it is, I > cannot figure how to obtain this! > > Basically, I know the torus' radii (rMIN and rMAX), and I have my good > vectors: > > coords = {{x1, y1, z1}, {x2, y2, z2}, ...} > values = {v1, v2, ...} > > Is there anyone who can help me with this? I have seen ListVectorPlot3D, but > it won't show in the plot the domain itself (so arrows laying on a torus), > and ineed, it requires a vector field. Although I can fake a vector field, > I'd like something more "visually appealing"! :) > > Thanks to anyone! > Franco

**Follow-Ups**:**Re: Re: Scalar plot in 3D***From:*Franco Milicchio <franco.milicchio@gmail.com>