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Re: Shading in Plot3D
*To*: mathgroup at smc.vnet.net
*Subject*: [mg113023] Re: Shading in Plot3D
*From*: Helen Read <readhpr at gmail.com>
*Date*: Mon, 11 Oct 2010 05:17:23 -0400 (EDT)
*References*: <i8s5ej$93f$1@smc.vnet.net>
*Reply-to*: HPR <read at math.uvm.edu>
On 10/10/2010 6:44 AM, R Martinez wrote:
> All,
>
> I want to use Plot3D to produce a surface with no shading. All I want is a black-and-white plot: black meshlines and a white surface.
>
> But no matter what I try, I get gray shading. I've done my due diligence in the Documentation Center, but can't find the key to turn off all shading.
>
> Can anyone help?
>
> Here's the Plot3D command I'm using, which gives me a white surface with the black meshlines, but with the unwanted shading.
>
> Plot3D[Sin[x y], {x, -Pi, Pi}, {y, -Pi, Pi}, PlotPoints -> Automatic,
> Mesh -> {{-Pi/2, 0, Pi/2}, {-Pi/2, 0, Pi/2}},
> MeshStyle -> {{Black, Thickness[0.004]}, {Black, Thickness[0.004]}},
> PlotRange -> {All, All, All}, BaseStyle -> {FontSize -> 12, Bold},
> Boxed -> False, PlotRegion -> {{0.025, 0.975}, {0.025, 0.975}},
> MeshShading -> None, Exclusions -> None, ColorFunction -> {White}]
One of the examples in the Documentation for Plot3D, under Options,
PlotStyle says
Produce a wire mesh: PlotStyle->None
A few other comments about what you have:
PlotPoints->Automatic is the default behavior. You do not need to
specify it.
There is also no need for PlotRange->{All,All,All} in your example.
The default color for MeshStyle is Black, so you need only specify the
thickness.
So try this:
Plot3D[Sin[x y], {x, -Pi, Pi}, {y, -Pi, Pi}, PlotStyle -> None,
MeshStyle -> {Thickness[.004], Thickness[.004]},
Mesh -> {{-Pi/2, 0, Pi/2}, {-Pi/2, 0, Pi/2}},
BaseStyle -> {FontSize -> 12, Bold}, Boxed -> False]
I'm not at all sure what you are trying to achieve with PlotRegion,
which is an option for two dimensional plots. If you to plot only over a
specific region, the way to do that is with RegionFunction. For example,
this will plot the surface over the unit disk.
Plot3D[Sin[x y], {x, -Pi, Pi}, {y, -Pi, Pi},
RegionFunction -> Function[{x, y, z}, x^2 + y^2 <= 1]]
And if you want only a wire mesh:
Plot3D[Sin[x y], {x, -Pi, Pi}, {y, -Pi, Pi},
RegionFunction -> Function[{x, y, z}, x^2 + y^2 <= 1],
PlotStyle -> None]
--
Helen Read
University of Vermont
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