How can I Rescale a ColorFunction on a 3D plot

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I'll like to know if there is a way to do this colorfunction scaling on 3D plots




 Plot[0.8 Sin[x] + 0.2, x, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False, PlotRange -> -1, 1]



then we got the color function scaled




enter image description here




I'll like to do the same in 3D on this case




 Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False]



But something terrible happens, it is scaled on x and y but not on z
enter image description here











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  • I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
    – Heberley Tobón Maya
    Nov 30 at 5:40







  • 1




    use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
    – kglr
    Nov 30 at 5:57














up vote
2
down vote

favorite
2













I'll like to know if there is a way to do this colorfunction scaling on 3D plots




 Plot[0.8 Sin[x] + 0.2, x, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False, PlotRange -> -1, 1]



then we got the color function scaled




enter image description here




I'll like to do the same in 3D on this case




 Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False]



But something terrible happens, it is scaled on x and y but not on z
enter image description here











share|improve this question





















  • I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
    – Heberley Tobón Maya
    Nov 30 at 5:40







  • 1




    use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
    – kglr
    Nov 30 at 5:57












up vote
2
down vote

favorite
2









up vote
2
down vote

favorite
2






2






I'll like to know if there is a way to do this colorfunction scaling on 3D plots




 Plot[0.8 Sin[x] + 0.2, x, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False, PlotRange -> -1, 1]



then we got the color function scaled




enter image description here




I'll like to do the same in 3D on this case




 Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False]



But something terrible happens, it is scaled on x and y but not on z
enter image description here











share|improve this question














I'll like to know if there is a way to do this colorfunction scaling on 3D plots




 Plot[0.8 Sin[x] + 0.2, x, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False, PlotRange -> -1, 1]



then we got the color function scaled




enter image description here




I'll like to do the same in 3D on this case




 Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], 
ColorFunction -> (ColorData["Rainbow"][Rescale[#2, 0.2, 1]] &),
ColorFunctionScaling -> False]



But something terrible happens, it is scaled on x and y but not on z
enter image description here








plotting color






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asked Nov 30 at 5:24









Heberley Tobón Maya

624




624











  • I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
    – Heberley Tobón Maya
    Nov 30 at 5:40







  • 1




    use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
    – kglr
    Nov 30 at 5:57
















  • I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
    – Heberley Tobón Maya
    Nov 30 at 5:40







  • 1




    use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
    – kglr
    Nov 30 at 5:57















I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
– Heberley Tobón Maya
Nov 30 at 5:40





I thik that I solve it using this Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi], ColorFunction -> Function[x, y, z, (ColorData["Rainbow"][Rescale[#, 0.2, 1]] &)[ z]], ColorFunctionScaling -> False]
– Heberley Tobón Maya
Nov 30 at 5:40





1




1




use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
– kglr
Nov 30 at 5:57




use (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &)?
– kglr
Nov 30 at 5:57










1 Answer
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Plot3D[Sin[x] Sin[y], x, 0, 3 π, y, 0, 3 π,
ColorFunction -> (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &),
ColorFunctionScaling -> False]


enter image description here



An alternative form is ColorFunction -> Function[x, y, z, ColorData["Rainbow"][Rescale[z, 0.2, 1]]].



Alternatively, you can specify the range of the color function in ColorData and omit the function argument (the default color gradient direction is z):



Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi],
ColorFunction -> ColorData["Rainbow", 0.2, 1],
ColorFunctionScaling -> False]



same picture







share|improve this answer




















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    1 Answer
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    1 Answer
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    up vote
    6
    down vote



    accepted










    Plot3D[Sin[x] Sin[y], x, 0, 3 π, y, 0, 3 π,
    ColorFunction -> (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &),
    ColorFunctionScaling -> False]


    enter image description here



    An alternative form is ColorFunction -> Function[x, y, z, ColorData["Rainbow"][Rescale[z, 0.2, 1]]].



    Alternatively, you can specify the range of the color function in ColorData and omit the function argument (the default color gradient direction is z):



    Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi],
    ColorFunction -> ColorData["Rainbow", 0.2, 1],
    ColorFunctionScaling -> False]



    same picture







    share|improve this answer
























      up vote
      6
      down vote



      accepted










      Plot3D[Sin[x] Sin[y], x, 0, 3 π, y, 0, 3 π,
      ColorFunction -> (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &),
      ColorFunctionScaling -> False]


      enter image description here



      An alternative form is ColorFunction -> Function[x, y, z, ColorData["Rainbow"][Rescale[z, 0.2, 1]]].



      Alternatively, you can specify the range of the color function in ColorData and omit the function argument (the default color gradient direction is z):



      Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi],
      ColorFunction -> ColorData["Rainbow", 0.2, 1],
      ColorFunctionScaling -> False]



      same picture







      share|improve this answer






















        up vote
        6
        down vote



        accepted







        up vote
        6
        down vote



        accepted






        Plot3D[Sin[x] Sin[y], x, 0, 3 π, y, 0, 3 π,
        ColorFunction -> (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &),
        ColorFunctionScaling -> False]


        enter image description here



        An alternative form is ColorFunction -> Function[x, y, z, ColorData["Rainbow"][Rescale[z, 0.2, 1]]].



        Alternatively, you can specify the range of the color function in ColorData and omit the function argument (the default color gradient direction is z):



        Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi],
        ColorFunction -> ColorData["Rainbow", 0.2, 1],
        ColorFunctionScaling -> False]



        same picture







        share|improve this answer












        Plot3D[Sin[x] Sin[y], x, 0, 3 π, y, 0, 3 π,
        ColorFunction -> (ColorData["Rainbow"][Rescale[#3, 0.2, 1]] &),
        ColorFunctionScaling -> False]


        enter image description here



        An alternative form is ColorFunction -> Function[x, y, z, ColorData["Rainbow"][Rescale[z, 0.2, 1]]].



        Alternatively, you can specify the range of the color function in ColorData and omit the function argument (the default color gradient direction is z):



        Plot3D[Sin[x] Sin[y], x, 0, 3 [Pi], y, 0, 3 [Pi],
        ColorFunction -> ColorData["Rainbow", 0.2, 1],
        ColorFunctionScaling -> False]



        same picture








        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 30 at 6:21









        kglr

        175k9197402




        175k9197402



























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