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09/04/12 10:33am

Hi everyone

I am a new user of Mathematica and I would like to plot a scalar field on a surface with a color legend.

For example I would like to plot the scalar field f[x,y,z]=x^2+y^2+z^2 on the surface defined by z = Sin[xy] for 0x<5 and 0<y<5 with a color legend which automaticaly scale from the min to the max of f[x,y,z] (with colors from blue to red if possible)

I tried this

Plot3D[Sin[x y], {x, 0, 5}, {y, 0, 5}, ColorFunction -> Function[{x, y, z}, Hue[x^2 + y^2 + z^2]]
ColorData["Rainbow"][#] &, 20, " 1", "-1",
LegendPosition -> {1.1, -0.6}

But the Hue[] function scales everything in [0,1] and the color legend is not automatically generated (I put manually 1 and -1).

Does anyone know how to solve this problem?

Best regards

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