Is it possible to add the coloring range as legend?











up vote
4
down vote

favorite
1












recently i've generated a 3d plot, where I colored the points by the distance from the center.
My question is, that is it possible to add the values associated with the colors as a legend?



An example code is the following:



ClearAll["Global`*"]
pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
31.74032265185878`}, {14.975`, 0.`,
25.937460843343935`}, {19.69999492385721`, 0.`,
19.69999492385721`}, {23.053596248741755`, 0.`,
13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`,
0.`, 0.`}, {26.205567667222418`,
0.`, -7.0217606936313866`}, {24.595121467478055`,
0.`, -14.2`}, {21.630396436496486`,
0.`, -21.630396436496486`}, {16.62`,
0.`, -28.786684421794742`}, {10.396761041768258`,
0.`, -38.80124044203187`}}

ListPointPlot3D[pointsChar,
ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
Filling -> Axis, BoxRatios -> {1, 1, 1},
PlotStyle -> PointSize[Large]]









share|improve this question


















  • 2




    You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
    – N.J.Evans
    Nov 16 at 17:25












  • Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
    – Titus
    Nov 16 at 17:52

















up vote
4
down vote

favorite
1












recently i've generated a 3d plot, where I colored the points by the distance from the center.
My question is, that is it possible to add the values associated with the colors as a legend?



An example code is the following:



ClearAll["Global`*"]
pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
31.74032265185878`}, {14.975`, 0.`,
25.937460843343935`}, {19.69999492385721`, 0.`,
19.69999492385721`}, {23.053596248741755`, 0.`,
13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`,
0.`, 0.`}, {26.205567667222418`,
0.`, -7.0217606936313866`}, {24.595121467478055`,
0.`, -14.2`}, {21.630396436496486`,
0.`, -21.630396436496486`}, {16.62`,
0.`, -28.786684421794742`}, {10.396761041768258`,
0.`, -38.80124044203187`}}

ListPointPlot3D[pointsChar,
ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
Filling -> Axis, BoxRatios -> {1, 1, 1},
PlotStyle -> PointSize[Large]]









share|improve this question


















  • 2




    You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
    – N.J.Evans
    Nov 16 at 17:25












  • Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
    – Titus
    Nov 16 at 17:52















up vote
4
down vote

favorite
1









up vote
4
down vote

favorite
1






1





recently i've generated a 3d plot, where I colored the points by the distance from the center.
My question is, that is it possible to add the values associated with the colors as a legend?



An example code is the following:



ClearAll["Global`*"]
pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
31.74032265185878`}, {14.975`, 0.`,
25.937460843343935`}, {19.69999492385721`, 0.`,
19.69999492385721`}, {23.053596248741755`, 0.`,
13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`,
0.`, 0.`}, {26.205567667222418`,
0.`, -7.0217606936313866`}, {24.595121467478055`,
0.`, -14.2`}, {21.630396436496486`,
0.`, -21.630396436496486`}, {16.62`,
0.`, -28.786684421794742`}, {10.396761041768258`,
0.`, -38.80124044203187`}}

ListPointPlot3D[pointsChar,
ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
Filling -> Axis, BoxRatios -> {1, 1, 1},
PlotStyle -> PointSize[Large]]









share|improve this question













recently i've generated a 3d plot, where I colored the points by the distance from the center.
My question is, that is it possible to add the values associated with the colors as a legend?



An example code is the following:



ClearAll["Global`*"]
pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
31.74032265185878`}, {14.975`, 0.`,
25.937460843343935`}, {19.69999492385721`, 0.`,
19.69999492385721`}, {23.053596248741755`, 0.`,
13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`,
0.`, 0.`}, {26.205567667222418`,
0.`, -7.0217606936313866`}, {24.595121467478055`,
0.`, -14.2`}, {21.630396436496486`,
0.`, -21.630396436496486`}, {16.62`,
0.`, -28.786684421794742`}, {10.396761041768258`,
0.`, -38.80124044203187`}}

ListPointPlot3D[pointsChar,
ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
Filling -> Axis, BoxRatios -> {1, 1, 1},
PlotStyle -> PointSize[Large]]






plotting






share|improve this question













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share|improve this question










asked Nov 16 at 17:14









G.David

715




715








  • 2




    You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
    – N.J.Evans
    Nov 16 at 17:25












  • Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
    – Titus
    Nov 16 at 17:52
















  • 2




    You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
    – N.J.Evans
    Nov 16 at 17:25












  • Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
    – Titus
    Nov 16 at 17:52










2




2




You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
– N.J.Evans
Nov 16 at 17:25






You can generate your legend using BarLegend[{Hue,MinMax[EuclideanDistance[{0,0,0},#]&/@pointsChar]}].
– N.J.Evans
Nov 16 at 17:25














Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
– Titus
Nov 16 at 17:52






Legended[ YYYYY , XXXX ] where YYYY your plot function as is and XXXX the legend code from @N.J. Evans, separated by a comma. I was happening to be working on the same problem but I could not match the colours with the legend. Maybe a complete answer can be posted by the first commentator...?
– Titus
Nov 16 at 17:52












2 Answers
2






active

oldest

votes

















up vote
1
down vote



accepted










ClearAll["Global`*"]
pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
31.74032265185878`}, {14.975`, 0.`,
25.937460843343935`}, {19.69999492385721`, 0.`,
19.69999492385721`}, {23.053596248741755`, 0.`,
13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`, 0.`,
0.`}, {26.205567667222418`,
0.`, -7.0217606936313866`}, {24.595121467478055`,
0.`, -14.2`}, {21.630396436496486`, 0.`, -21.630396436496486`}, {16.62`,
0.`, -28.786684421794742`}, {10.396761041768258`,
0.`, -38.80124044203187`}};

{minDist, maxDist} = MinMax[EuclideanDistance[{0, 0, 0}, #] & /@ pointsChar];


Since colors given by Hue are the same for min and max values, an alternative color function may be desired. Further, the EuclideanDistance is given in the Tooltip.



Manipulate[
Legended[
ListPointPlot3D[
Tooltip[#, EuclideanDistance[{0, 0, 0}, #]] & /@
pointsChar,
ColorFunction ->
Function[{x, y, z},
If[cf === Hue, Hue, ColorData[cf]][
Rescale[Sqrt[x^2 + y^2 + z^2], {minDist, maxDist}]]],
ColorFunctionScaling -> False,
Filling -> Axis,
BoxRatios -> {1, 1, 1},
PlotStyle -> PointSize[Large]],
BarLegend[{If[cf === Hue, Hue,
ColorData[cf][Rescale[#, {minDist, maxDist}]] &], {minDist, maxDist}}]],
{{cf, Hue, "ColorFunction"}, {Hue, "Rainbow", "TemperatureMap"}}]


enter image description here






share|improve this answer




























    up vote
    6
    down vote













    You can extract the Point primitives and their styles from ListPointPlot3D output and use them to construct a PointLegend:



    lpp = ListPointPlot3D[pointsChar, 
    ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
    Filling -> Axis, BoxRatios -> {1, 1, 1},
    PlotStyle -> PointSize[Large]];
    legend = PointLegend[## & @@ Transpose[Cases[lpp, {a_, Point[b_]} :> {a, b}, ∞]],
    LegendMarkerSize -> 20];

    Legended[lpp, legend]


    enter image description here






    share|improve this answer





















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      2 Answers
      2






      active

      oldest

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      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

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      active

      oldest

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      up vote
      1
      down vote



      accepted










      ClearAll["Global`*"]
      pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
      31.74032265185878`}, {14.975`, 0.`,
      25.937460843343935`}, {19.69999492385721`, 0.`,
      19.69999492385721`}, {23.053596248741755`, 0.`,
      13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`, 0.`,
      0.`}, {26.205567667222418`,
      0.`, -7.0217606936313866`}, {24.595121467478055`,
      0.`, -14.2`}, {21.630396436496486`, 0.`, -21.630396436496486`}, {16.62`,
      0.`, -28.786684421794742`}, {10.396761041768258`,
      0.`, -38.80124044203187`}};

      {minDist, maxDist} = MinMax[EuclideanDistance[{0, 0, 0}, #] & /@ pointsChar];


      Since colors given by Hue are the same for min and max values, an alternative color function may be desired. Further, the EuclideanDistance is given in the Tooltip.



      Manipulate[
      Legended[
      ListPointPlot3D[
      Tooltip[#, EuclideanDistance[{0, 0, 0}, #]] & /@
      pointsChar,
      ColorFunction ->
      Function[{x, y, z},
      If[cf === Hue, Hue, ColorData[cf]][
      Rescale[Sqrt[x^2 + y^2 + z^2], {minDist, maxDist}]]],
      ColorFunctionScaling -> False,
      Filling -> Axis,
      BoxRatios -> {1, 1, 1},
      PlotStyle -> PointSize[Large]],
      BarLegend[{If[cf === Hue, Hue,
      ColorData[cf][Rescale[#, {minDist, maxDist}]] &], {minDist, maxDist}}]],
      {{cf, Hue, "ColorFunction"}, {Hue, "Rainbow", "TemperatureMap"}}]


      enter image description here






      share|improve this answer

























        up vote
        1
        down vote



        accepted










        ClearAll["Global`*"]
        pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
        31.74032265185878`}, {14.975`, 0.`,
        25.937460843343935`}, {19.69999492385721`, 0.`,
        19.69999492385721`}, {23.053596248741755`, 0.`,
        13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`, 0.`,
        0.`}, {26.205567667222418`,
        0.`, -7.0217606936313866`}, {24.595121467478055`,
        0.`, -14.2`}, {21.630396436496486`, 0.`, -21.630396436496486`}, {16.62`,
        0.`, -28.786684421794742`}, {10.396761041768258`,
        0.`, -38.80124044203187`}};

        {minDist, maxDist} = MinMax[EuclideanDistance[{0, 0, 0}, #] & /@ pointsChar];


        Since colors given by Hue are the same for min and max values, an alternative color function may be desired. Further, the EuclideanDistance is given in the Tooltip.



        Manipulate[
        Legended[
        ListPointPlot3D[
        Tooltip[#, EuclideanDistance[{0, 0, 0}, #]] & /@
        pointsChar,
        ColorFunction ->
        Function[{x, y, z},
        If[cf === Hue, Hue, ColorData[cf]][
        Rescale[Sqrt[x^2 + y^2 + z^2], {minDist, maxDist}]]],
        ColorFunctionScaling -> False,
        Filling -> Axis,
        BoxRatios -> {1, 1, 1},
        PlotStyle -> PointSize[Large]],
        BarLegend[{If[cf === Hue, Hue,
        ColorData[cf][Rescale[#, {minDist, maxDist}]] &], {minDist, maxDist}}]],
        {{cf, Hue, "ColorFunction"}, {Hue, "Rainbow", "TemperatureMap"}}]


        enter image description here






        share|improve this answer























          up vote
          1
          down vote



          accepted







          up vote
          1
          down vote



          accepted






          ClearAll["Global`*"]
          pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
          31.74032265185878`}, {14.975`, 0.`,
          25.937460843343935`}, {19.69999492385721`, 0.`,
          19.69999492385721`}, {23.053596248741755`, 0.`,
          13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`, 0.`,
          0.`}, {26.205567667222418`,
          0.`, -7.0217606936313866`}, {24.595121467478055`,
          0.`, -14.2`}, {21.630396436496486`, 0.`, -21.630396436496486`}, {16.62`,
          0.`, -28.786684421794742`}, {10.396761041768258`,
          0.`, -38.80124044203187`}};

          {minDist, maxDist} = MinMax[EuclideanDistance[{0, 0, 0}, #] & /@ pointsChar];


          Since colors given by Hue are the same for min and max values, an alternative color function may be desired. Further, the EuclideanDistance is given in the Tooltip.



          Manipulate[
          Legended[
          ListPointPlot3D[
          Tooltip[#, EuclideanDistance[{0, 0, 0}, #]] & /@
          pointsChar,
          ColorFunction ->
          Function[{x, y, z},
          If[cf === Hue, Hue, ColorData[cf]][
          Rescale[Sqrt[x^2 + y^2 + z^2], {minDist, maxDist}]]],
          ColorFunctionScaling -> False,
          Filling -> Axis,
          BoxRatios -> {1, 1, 1},
          PlotStyle -> PointSize[Large]],
          BarLegend[{If[cf === Hue, Hue,
          ColorData[cf][Rescale[#, {minDist, maxDist}]] &], {minDist, maxDist}}]],
          {{cf, Hue, "ColorFunction"}, {Hue, "Rainbow", "TemperatureMap"}}]


          enter image description here






          share|improve this answer












          ClearAll["Global`*"]
          pointsChar = {{0.`, 0.`, 41.63`}, {8.50479382206883`, 0.`,
          31.74032265185878`}, {14.975`, 0.`,
          25.937460843343935`}, {19.69999492385721`, 0.`,
          19.69999492385721`}, {23.053596248741755`, 0.`,
          13.31`}, {25.12373074177866`, 0.`, 6.731883363116563`}, {26.16`, 0.`,
          0.`}, {26.205567667222418`,
          0.`, -7.0217606936313866`}, {24.595121467478055`,
          0.`, -14.2`}, {21.630396436496486`, 0.`, -21.630396436496486`}, {16.62`,
          0.`, -28.786684421794742`}, {10.396761041768258`,
          0.`, -38.80124044203187`}};

          {minDist, maxDist} = MinMax[EuclideanDistance[{0, 0, 0}, #] & /@ pointsChar];


          Since colors given by Hue are the same for min and max values, an alternative color function may be desired. Further, the EuclideanDistance is given in the Tooltip.



          Manipulate[
          Legended[
          ListPointPlot3D[
          Tooltip[#, EuclideanDistance[{0, 0, 0}, #]] & /@
          pointsChar,
          ColorFunction ->
          Function[{x, y, z},
          If[cf === Hue, Hue, ColorData[cf]][
          Rescale[Sqrt[x^2 + y^2 + z^2], {minDist, maxDist}]]],
          ColorFunctionScaling -> False,
          Filling -> Axis,
          BoxRatios -> {1, 1, 1},
          PlotStyle -> PointSize[Large]],
          BarLegend[{If[cf === Hue, Hue,
          ColorData[cf][Rescale[#, {minDist, maxDist}]] &], {minDist, maxDist}}]],
          {{cf, Hue, "ColorFunction"}, {Hue, "Rainbow", "TemperatureMap"}}]


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Nov 16 at 22:20









          Bob Hanlon

          57.5k23591




          57.5k23591






















              up vote
              6
              down vote













              You can extract the Point primitives and their styles from ListPointPlot3D output and use them to construct a PointLegend:



              lpp = ListPointPlot3D[pointsChar, 
              ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
              Filling -> Axis, BoxRatios -> {1, 1, 1},
              PlotStyle -> PointSize[Large]];
              legend = PointLegend[## & @@ Transpose[Cases[lpp, {a_, Point[b_]} :> {a, b}, ∞]],
              LegendMarkerSize -> 20];

              Legended[lpp, legend]


              enter image description here






              share|improve this answer

























                up vote
                6
                down vote













                You can extract the Point primitives and their styles from ListPointPlot3D output and use them to construct a PointLegend:



                lpp = ListPointPlot3D[pointsChar, 
                ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
                Filling -> Axis, BoxRatios -> {1, 1, 1},
                PlotStyle -> PointSize[Large]];
                legend = PointLegend[## & @@ Transpose[Cases[lpp, {a_, Point[b_]} :> {a, b}, ∞]],
                LegendMarkerSize -> 20];

                Legended[lpp, legend]


                enter image description here






                share|improve this answer























                  up vote
                  6
                  down vote










                  up vote
                  6
                  down vote









                  You can extract the Point primitives and their styles from ListPointPlot3D output and use them to construct a PointLegend:



                  lpp = ListPointPlot3D[pointsChar, 
                  ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
                  Filling -> Axis, BoxRatios -> {1, 1, 1},
                  PlotStyle -> PointSize[Large]];
                  legend = PointLegend[## & @@ Transpose[Cases[lpp, {a_, Point[b_]} :> {a, b}, ∞]],
                  LegendMarkerSize -> 20];

                  Legended[lpp, legend]


                  enter image description here






                  share|improve this answer












                  You can extract the Point primitives and their styles from ListPointPlot3D output and use them to construct a PointLegend:



                  lpp = ListPointPlot3D[pointsChar, 
                  ColorFunction -> Function[{x, y, z}, Hue[Sqrt[x^2 + y^2 + z^2]]],
                  Filling -> Axis, BoxRatios -> {1, 1, 1},
                  PlotStyle -> PointSize[Large]];
                  legend = PointLegend[## & @@ Transpose[Cases[lpp, {a_, Point[b_]} :> {a, b}, ∞]],
                  LegendMarkerSize -> 20];

                  Legended[lpp, legend]


                  enter image description here







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered Nov 16 at 18:18









                  kglr

                  171k8194399




                  171k8194399






























                       

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