Increasing the thickness of a 3D surface

Question

I am drawing a 3D surface with the following code:

S1 = 
  Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
    Mesh -> None, 
    BoxRatios -> {1, .1, 1}, 
    ColorFunction -> "Rainbow", 
    PlotPoints -> 40, 
    PlotStyle -> Thickness[10]];
Show[{S1}, Boxed -> False, Axes -> False]

As you can see, I am attempting to increase the thickness of the function with the following term:

PlotStyle -> Thickness[10]

Yet, this does nothing. It stays thin. I have also tried changing the constant from 10 to .01. But this does nothing too. I have browsed the Wolfram documentation page and this forum, but I cannot quite find a solution. I appreciate any help with this.

Thickness is—I think—for lines, not for surfaces. You might consider using RegionPlot3D or using the Filling option instead. — Ben Kalziqi, Jul 28 '16 at 23:24

score 13 · Answer 1 · edited Apr 13 '17 at 12:55

13

You can use Extrusion:

S1 = Plot3D[-69*(Cosh[(3*x)/299] - 1) + 200, {x, -200, 200}, {y, -1, 1}, 
 Mesh -> None, BoxRatios -> {1, .1, 1}, 
 ColorFunction -> "Rainbow", PlotPoints -> 40, Extrusion -> 10];
Show[{S1}, Boxed -> False, Axes -> False]

edited Apr 13 '17 at 12:55

Community

1

answered Jul 29 '16 at 00:28

Young

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Woah, I don't think I'd seen that before! Very cool. – Ben Kalziqi Jul 29 '16 at 00:33
1

@Young I am unable to find a reference to Extrusion in the documentation. Can you find it there? – Jack LaVigne Jul 29 '16 at 01:23
1

@JackLaVigne I think it's an undocumented option – Young Jul 29 '16 at 01:30

score 3 · Answer 2 · answered Jul 28 '16 at 23:36

I would try RegionPlot3D for this kind of work, depending on exactly what you're trying to generate (could we get more details?).

For example, you could try something like:

S1 = RegionPlot3D[-69*(Cosh[(3*x)/299] - 1) + 195 <= 
z <= -69*(Cosh[(3*x)/299] - 1) + 205, {x, -200, 200}, {y, -1, 
1}, {z, 0, 205}, BoxRatios -> {1, .1, 1}, 
ColorFunction -> "Rainbow", PlotPoints -> 120, 
AxesLabel -> {"x", "y", "z"}];
Show[{S1}, Boxed -> False, Axes -> False]

Which gives

Thank you guys! It's now working. – user3325294 Jul 29 '16 at 23:09 — user3325294, Jul 29 '16 at 23:09

Increasing the thickness of a 3D surface

2 Answers2