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added 454 characters in body
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Daniel Huber
  • 56.4k
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I think this is a version problem. In MMA 12.3 I get:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here

Update

To make the plane translucent, you could write:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, PlotStyle -> Opacity[0.3], 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here

I think this is a version problem. In MMA 12.3 I get:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here

I think this is a version problem. In MMA 12.3 I get:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here

Update

To make the plane translucent, you could write:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, PlotStyle -> Opacity[0.3], 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here

Source Link
Daniel Huber
  • 56.4k
  • 2
  • 24
  • 66

I think this is a version problem. In MMA 12.3 I get:

Show[ParametricPlot3D[R[r, s], {r, -3, 3}, {s, -3, 3}, 
  ImageSize -> 600, 
  Epilog -> 
   Inset[Style[" 710178 ", FontSize -> 84, Red, Opacity[0.1]]]], 
 ParametricPlot3D[S[f[r], f[s]], {r, -3, 3}, {s, -3, 3}, 
  PlotStyle -> Transparent]]

enter image description here