Re: Countur/Density plot on sphere

*To*: mathgroup at smc.vnet.net*Subject*: [mg127453] Re: Countur/Density plot on sphere*From*: Bob Hanlon <hanlonr357 at gmail.com>*Date*: Thu, 26 Jul 2012 03:33:05 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <20120725063355.F39326866@smc.vnet.net>

The default is ColorFunctionScaling -> True. Either set it to False or rescale to taste. f[x_] = x; Row[SphericalPlot3D[1, {t, 0, 2 Pi}, {p, 0, Pi}, ColorFunction -> Function[{x, y, z, t, p, r}, #], ColorFunctionScaling -> False, ImageSize -> 275, ViewPoint -> {5, -5, 0}] & /@ {Hue[f[Abs@z]], Hue[f[z]]}] Bob Hanlon On Wed, Jul 25, 2012 at 6:08 PM, Bla=BE Kranjc <blaz.kranjc91 at gmail.com> wrote: > Suprisingly this work now (I tried it 10+ times before and it didn't), I > just have another question, > > SphericalPlot3D[1, {t, 0, 2 Pi}, {p, 0, Pi}, > ColorFunction -> > Function[{x, y, z, t, p, r}, Hue[f[Abs@z]]] and SphericalPlot3D[1, {t, > 0, 2 Pi}, {p, 0, Pi}, > ColorFunction -> > Function[{x, y, z, t, p, r}, Hue[f[z]]] > returned the same plots, therefore this isn't really plotting my values?? > I don't really trust this now. > > I also tried calculating a lot of points on a sphere and finding a value in > given point, than Show them all with Graphics3D giving them color based on > value, BUT sphere loses it's depth and is full of holes now. so it doesn't > look ok. > > 2012/7/25 Bob Hanlon <hanlonr357 at gmail.com> >> >> This is quite slow but if I understand what you want >> >> f[t_?NumericQ, p_?NumericQ] := >> NIntegrate[(t + x)/(1 + p + x), {x, 0, 1}] >> >> >> SphericalPlot3D[1, {t, 0, 2 Pi}, {p, 0, Pi}, >> ColorFunction -> >> Function[{x, y, z, t, p, r}, Hue[f[t, p]]], >> Mesh -> 10, >> MeshFunctions -> >> {Function[{x, y, z, t, p, r}, f[t, p]]}] >> >> >> Bob Hanlon >> >> >> On Wed, Jul 25, 2012 at 2:33 AM, Bla=BE Kranjc <blaz.kranjc91 at gmail.com> >> wrote: >> > Hello, >> > I have a problem in which I need to evaluate a function on the the >> > surface of the sphere. I've used ColorFunction and MeshFunctions before, but >> > they seem to work only on analicial functions, my function is numerical >> > integration in given point and returns a number. Is there any way to plot >> > that kind of graph (colored sphere depending on a value) or can anybody >> > suggest other ways to represent this. >> > >> > Thank you, >> > >> > Bla=C5=BE Kranjc >> > > >

**References**:**Countur/Density plot on sphere***From:*BlaÅ Kranjc <blaz.kranjc91@gmail.com>