Show additional box border in 3D plot











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How to best draw an additional box boder at {x, y, 0} as indicated by the red arrow below? PlotRange is Automatic (do not assume it is {{0, 100}, {0, 100}, {-50, 50}} always).



enter image description here



points = RandomReal[100, {100, 3}];
points[[All, 3]] = points[[All, 3]] - 50;
ListPointPlot3D[points, BoxRatios -> 1]


The only idea I have is extracting PlotRange with AbsoluteOptions and drawing the box border manually. That may be too difficult for me. I use Mathematica 9.










share|improve this question


























    up vote
    3
    down vote

    favorite












    How to best draw an additional box boder at {x, y, 0} as indicated by the red arrow below? PlotRange is Automatic (do not assume it is {{0, 100}, {0, 100}, {-50, 50}} always).



    enter image description here



    points = RandomReal[100, {100, 3}];
    points[[All, 3]] = points[[All, 3]] - 50;
    ListPointPlot3D[points, BoxRatios -> 1]


    The only idea I have is extracting PlotRange with AbsoluteOptions and drawing the box border manually. That may be too difficult for me. I use Mathematica 9.










    share|improve this question
























      up vote
      3
      down vote

      favorite









      up vote
      3
      down vote

      favorite











      How to best draw an additional box boder at {x, y, 0} as indicated by the red arrow below? PlotRange is Automatic (do not assume it is {{0, 100}, {0, 100}, {-50, 50}} always).



      enter image description here



      points = RandomReal[100, {100, 3}];
      points[[All, 3]] = points[[All, 3]] - 50;
      ListPointPlot3D[points, BoxRatios -> 1]


      The only idea I have is extracting PlotRange with AbsoluteOptions and drawing the box border manually. That may be too difficult for me. I use Mathematica 9.










      share|improve this question













      How to best draw an additional box boder at {x, y, 0} as indicated by the red arrow below? PlotRange is Automatic (do not assume it is {{0, 100}, {0, 100}, {-50, 50}} always).



      enter image description here



      points = RandomReal[100, {100, 3}];
      points[[All, 3]] = points[[All, 3]] - 50;
      ListPointPlot3D[points, BoxRatios -> 1]


      The only idea I have is extracting PlotRange with AbsoluteOptions and drawing the box border manually. That may be too difficult for me. I use Mathematica 9.







      plotting graphics3d boxes listpointplot3d






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Nov 28 at 17:11









      Frank

      33118




      33118






















          2 Answers
          2






          active

          oldest

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          up vote
          2
          down vote



          accepted










          You can use InfinitePlane without having to get the PlotRange of input plot:



          Show[ListPointPlot3D[points, BoxRatios -> 1],
          Graphics3D[{Opacity[0], EdgeForm[{Blue, Thick}],
          InfinitePlane[{{0, 0, 0}, {0, 1, 0}, {1, 1, 0}}]}]]


          enter image description here



          Update: An alternative that also works in version 9 is to use FaceGrids:



          facegrids = {#, {{}, {0}}} & /@ Join[#, -#] &@Most[IdentityMatrix[3]];
          ListPointPlot3D[points, BoxRatios -> 1, FaceGrids -> facegrids,
          FaceGridsStyle -> Directive[Thick, Blue]]


          enter image description here



          Update 2: You can also use PlotRange to extract the plot range of a plot object and use it with Cuboid:



          lpp = ListPointPlot3D[points, BoxRatios -> 1]; 
          rectangle = Transpose[Append[PlotRange[lpp][[;; 2]], {0, 0}]];
          Show[lpp, Graphics3D[{Opacity[0], EdgeForm[{Thick, Blue}], Cuboid @@ rectangle}]]


          enter image description here






          share|improve this answer























          • Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
            – Frank
            Nov 28 at 19:42










          • @Frank, please see the update.
            – kglr
            Nov 28 at 20:01










          • That's truly fantastic.
            – Frank
            Nov 28 at 20:15




















          up vote
          2
          down vote













          You can use the useful-but-undocumented function Charting`get3DPlotRange to find the plot range, and use that to make your box:



          points = RandomReal[{-50, 50}, {100, 3}];
          plot = ListPointPlot3D[points, BoxRatios -> 1];
          {x, y, z} = Charting`get3DPlotRange @ plot;
          Show[plot,
          Graphics3D[
          {
          EdgeForm @ Blue,
          FaceForm @ Opacity @ 0.05, (* set to 0 for transparent *)
          Cuboid @@ Thread[{x, y, {0, 0}}]
          }
          ]
          ]


          enter image description here






          share|improve this answer





















          • Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
            – Frank
            Nov 28 at 20:16











          Your Answer





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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          2
          down vote



          accepted










          You can use InfinitePlane without having to get the PlotRange of input plot:



          Show[ListPointPlot3D[points, BoxRatios -> 1],
          Graphics3D[{Opacity[0], EdgeForm[{Blue, Thick}],
          InfinitePlane[{{0, 0, 0}, {0, 1, 0}, {1, 1, 0}}]}]]


          enter image description here



          Update: An alternative that also works in version 9 is to use FaceGrids:



          facegrids = {#, {{}, {0}}} & /@ Join[#, -#] &@Most[IdentityMatrix[3]];
          ListPointPlot3D[points, BoxRatios -> 1, FaceGrids -> facegrids,
          FaceGridsStyle -> Directive[Thick, Blue]]


          enter image description here



          Update 2: You can also use PlotRange to extract the plot range of a plot object and use it with Cuboid:



          lpp = ListPointPlot3D[points, BoxRatios -> 1]; 
          rectangle = Transpose[Append[PlotRange[lpp][[;; 2]], {0, 0}]];
          Show[lpp, Graphics3D[{Opacity[0], EdgeForm[{Thick, Blue}], Cuboid @@ rectangle}]]


          enter image description here






          share|improve this answer























          • Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
            – Frank
            Nov 28 at 19:42










          • @Frank, please see the update.
            – kglr
            Nov 28 at 20:01










          • That's truly fantastic.
            – Frank
            Nov 28 at 20:15

















          up vote
          2
          down vote



          accepted










          You can use InfinitePlane without having to get the PlotRange of input plot:



          Show[ListPointPlot3D[points, BoxRatios -> 1],
          Graphics3D[{Opacity[0], EdgeForm[{Blue, Thick}],
          InfinitePlane[{{0, 0, 0}, {0, 1, 0}, {1, 1, 0}}]}]]


          enter image description here



          Update: An alternative that also works in version 9 is to use FaceGrids:



          facegrids = {#, {{}, {0}}} & /@ Join[#, -#] &@Most[IdentityMatrix[3]];
          ListPointPlot3D[points, BoxRatios -> 1, FaceGrids -> facegrids,
          FaceGridsStyle -> Directive[Thick, Blue]]


          enter image description here



          Update 2: You can also use PlotRange to extract the plot range of a plot object and use it with Cuboid:



          lpp = ListPointPlot3D[points, BoxRatios -> 1]; 
          rectangle = Transpose[Append[PlotRange[lpp][[;; 2]], {0, 0}]];
          Show[lpp, Graphics3D[{Opacity[0], EdgeForm[{Thick, Blue}], Cuboid @@ rectangle}]]


          enter image description here






          share|improve this answer























          • Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
            – Frank
            Nov 28 at 19:42










          • @Frank, please see the update.
            – kglr
            Nov 28 at 20:01










          • That's truly fantastic.
            – Frank
            Nov 28 at 20:15















          up vote
          2
          down vote



          accepted







          up vote
          2
          down vote



          accepted






          You can use InfinitePlane without having to get the PlotRange of input plot:



          Show[ListPointPlot3D[points, BoxRatios -> 1],
          Graphics3D[{Opacity[0], EdgeForm[{Blue, Thick}],
          InfinitePlane[{{0, 0, 0}, {0, 1, 0}, {1, 1, 0}}]}]]


          enter image description here



          Update: An alternative that also works in version 9 is to use FaceGrids:



          facegrids = {#, {{}, {0}}} & /@ Join[#, -#] &@Most[IdentityMatrix[3]];
          ListPointPlot3D[points, BoxRatios -> 1, FaceGrids -> facegrids,
          FaceGridsStyle -> Directive[Thick, Blue]]


          enter image description here



          Update 2: You can also use PlotRange to extract the plot range of a plot object and use it with Cuboid:



          lpp = ListPointPlot3D[points, BoxRatios -> 1]; 
          rectangle = Transpose[Append[PlotRange[lpp][[;; 2]], {0, 0}]];
          Show[lpp, Graphics3D[{Opacity[0], EdgeForm[{Thick, Blue}], Cuboid @@ rectangle}]]


          enter image description here






          share|improve this answer














          You can use InfinitePlane without having to get the PlotRange of input plot:



          Show[ListPointPlot3D[points, BoxRatios -> 1],
          Graphics3D[{Opacity[0], EdgeForm[{Blue, Thick}],
          InfinitePlane[{{0, 0, 0}, {0, 1, 0}, {1, 1, 0}}]}]]


          enter image description here



          Update: An alternative that also works in version 9 is to use FaceGrids:



          facegrids = {#, {{}, {0}}} & /@ Join[#, -#] &@Most[IdentityMatrix[3]];
          ListPointPlot3D[points, BoxRatios -> 1, FaceGrids -> facegrids,
          FaceGridsStyle -> Directive[Thick, Blue]]


          enter image description here



          Update 2: You can also use PlotRange to extract the plot range of a plot object and use it with Cuboid:



          lpp = ListPointPlot3D[points, BoxRatios -> 1]; 
          rectangle = Transpose[Append[PlotRange[lpp][[;; 2]], {0, 0}]];
          Show[lpp, Graphics3D[{Opacity[0], EdgeForm[{Thick, Blue}], Cuboid @@ rectangle}]]


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Nov 28 at 20:16

























          answered Nov 28 at 19:33









          kglr

          175k9197402




          175k9197402












          • Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
            – Frank
            Nov 28 at 19:42










          • @Frank, please see the update.
            – kglr
            Nov 28 at 20:01










          • That's truly fantastic.
            – Frank
            Nov 28 at 20:15




















          • Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
            – Frank
            Nov 28 at 19:42










          • @Frank, please see the update.
            – kglr
            Nov 28 at 20:01










          • That's truly fantastic.
            – Frank
            Nov 28 at 20:15


















          Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
          – Frank
          Nov 28 at 19:42




          Something like this I was hoping for, thanks. Unfortunately InfinitePlane was only introduced in MMA 10.
          – Frank
          Nov 28 at 19:42












          @Frank, please see the update.
          – kglr
          Nov 28 at 20:01




          @Frank, please see the update.
          – kglr
          Nov 28 at 20:01












          That's truly fantastic.
          – Frank
          Nov 28 at 20:15






          That's truly fantastic.
          – Frank
          Nov 28 at 20:15












          up vote
          2
          down vote













          You can use the useful-but-undocumented function Charting`get3DPlotRange to find the plot range, and use that to make your box:



          points = RandomReal[{-50, 50}, {100, 3}];
          plot = ListPointPlot3D[points, BoxRatios -> 1];
          {x, y, z} = Charting`get3DPlotRange @ plot;
          Show[plot,
          Graphics3D[
          {
          EdgeForm @ Blue,
          FaceForm @ Opacity @ 0.05, (* set to 0 for transparent *)
          Cuboid @@ Thread[{x, y, {0, 0}}]
          }
          ]
          ]


          enter image description here






          share|improve this answer





















          • Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
            – Frank
            Nov 28 at 20:16















          up vote
          2
          down vote













          You can use the useful-but-undocumented function Charting`get3DPlotRange to find the plot range, and use that to make your box:



          points = RandomReal[{-50, 50}, {100, 3}];
          plot = ListPointPlot3D[points, BoxRatios -> 1];
          {x, y, z} = Charting`get3DPlotRange @ plot;
          Show[plot,
          Graphics3D[
          {
          EdgeForm @ Blue,
          FaceForm @ Opacity @ 0.05, (* set to 0 for transparent *)
          Cuboid @@ Thread[{x, y, {0, 0}}]
          }
          ]
          ]


          enter image description here






          share|improve this answer





















          • Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
            – Frank
            Nov 28 at 20:16













          up vote
          2
          down vote










          up vote
          2
          down vote









          You can use the useful-but-undocumented function Charting`get3DPlotRange to find the plot range, and use that to make your box:



          points = RandomReal[{-50, 50}, {100, 3}];
          plot = ListPointPlot3D[points, BoxRatios -> 1];
          {x, y, z} = Charting`get3DPlotRange @ plot;
          Show[plot,
          Graphics3D[
          {
          EdgeForm @ Blue,
          FaceForm @ Opacity @ 0.05, (* set to 0 for transparent *)
          Cuboid @@ Thread[{x, y, {0, 0}}]
          }
          ]
          ]


          enter image description here






          share|improve this answer












          You can use the useful-but-undocumented function Charting`get3DPlotRange to find the plot range, and use that to make your box:



          points = RandomReal[{-50, 50}, {100, 3}];
          plot = ListPointPlot3D[points, BoxRatios -> 1];
          {x, y, z} = Charting`get3DPlotRange @ plot;
          Show[plot,
          Graphics3D[
          {
          EdgeForm @ Blue,
          FaceForm @ Opacity @ 0.05, (* set to 0 for transparent *)
          Cuboid @@ Thread[{x, y, {0, 0}}]
          }
          ]
          ]


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Nov 28 at 19:02









          Jason B.

          47.5k387185




          47.5k387185












          • Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
            – Frank
            Nov 28 at 20:16


















          • Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
            – Frank
            Nov 28 at 20:16
















          Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
          – Frank
          Nov 28 at 20:16




          Thanks! I ran into trouble when using this together with PlotLegends -> Placed.
          – Frank
          Nov 28 at 20:16


















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