graphics3d - Working with text in 3D graphics

I'd like to add text to the surfaces of a cuboid. I have tried Text and Epilog, and neither of them worked.

Consider the following code:

Graphics3D[

  {{EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 0, 0}, {4, 2.4, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 3.4, 0}, {4, 3.6, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, 
    Cuboid[{-4, 4.6, 0}, {4, 7, 1}]},
   {EdgeForm[{Thickness[.000001], GrayLevel @ 0}], Blue, Cuboid[{-4, 0, 0}, {4, 7, -1}]},
   {Cyan, Opacity[.95], Cuboid[{-4, 2.4, 0}, {4, 3.4, 1}]},
   {Yellow, Opacity[.95], Cuboid[{-4, 3.6, 0}, {4, 4.6, 1}]}},
  Boxed -> False, ImageSize -> 800]

How can I add text to an arbitrary face of a cuboid, e.g., the yellow cuboid (the color must be adjusted so it is visible)? And more generally, how to add text to an arbitrary point in space?

Answer

An approach without using Texture:

Use M.R.'s ImportString[ExportString[..., "PDF"], "PDF", "TextMode" -> "Outlines"] trick to make your text into a list of FilledCurves.

Use the function filledCurveToPolygons3D this answer by Simon Woods to convert FilledCurves to polygons in 3D

Use NDSolve`FEM`GraphicsPrimitiveToGraphicsComplex to convert graphics primitives to GraphicsComplex

Use the function rescale below to Rescale the coordinates of the primitives from the previous step to place them in the appropriate positions in the input Graphics3D.

Using text and o from @M.R.'s answer:

gc3d = NDSolve`FEM`GraphicsPrimitiveToGraphicsComplex[Cases[text /. 
     f_FilledCurve :> filledCurveToPolygons3D[f], _Polygon, Infinity]];

rescale[ranges_, style___ : FaceForm[Red]] := # /. 
    GraphicsComplex[c_, prims___] :>  GraphicsComplex[
      Transpose[Table[Rescale[Transpose[c][[i]], 
         Through[{Min, Max}@Transpose[c][[i]]], ranges[[i]]], {i, 1, 3}]], 
     {style, prims}] &;


ranges1 = {{-3.6, 3.6}, {2.5, 3.3}, {1.001, 1.001}};
ranges2 = {{-3.6, 3.6}, {3.5, 4.5}, {1.001, 1.001}}
ranges3 = {{3.6, -3.6}, {6.5, 5}, {1.001, 1.001}};
Show[Graphics3D[rescale[ranges1] @ gc3d], 
 Graphics3D[rescale[ranges2, EdgeForm[], FaceForm[Blue]] @ gc3d], 
 Graphics3D[rescale[ranges3, EdgeForm[], FaceForm[Yellow]] @ gc3d], o]

Comments

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I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1.

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