Re: Re: Filling Between Surfaces

• To: mathgroup at smc.vnet.net
• Subject: [mg97759] Re: [mg97722] Re: Filling Between Surfaces
• From: "David Park" <djmpark at comcast.net>
• Date: Fri, 20 Mar 2009 02:43:20 -0500 (EST)
• References: <gpqgh6\$616\$1@smc.vnet.net> <24415140.1237449955897.JavaMail.root@m02>

```Ok, maybe RegionPlot is the way, but something more like:

RegionPlot3D[
z > Sin[Pi*x*y] && z < Cos[Pi*x*y], {x, -1, 1}, {y, -1, 1}, {z, -1,
1},
Mesh -> None, PlotStyle -> Opacity[.5]]

David Park
djmpark at comcast.net
http://home.comcast.net/~djmpark/

From: Jens-Peer Kuska [mailto:kuska at informatik.uni-leipzig.de]

Hi,

and

RegionPlot3D[
z > Sin[Pi*x*y] && z < Cos[Pi*x*y], {x, -1, 1}, {y, -1, 1}, {z, -1,
1}]

does not help ??

Regards
Jens

David Park wrote:
> Is it possible to fill between two surfaces?  I can't see where the Help
> specifically says one can't, but neither does it give any examples of
doing
> so and I believe, in fact, that one can't. It is, however, possible to
fill
> a surface to a specific numerical value or to Top or Bottom.
>
>
>
> Examples:
>
>
>
> data1 = Table[Sin[i + j^2] + 2, {i, 0, 3, 0.1}, {j, 0, 3, 0.1}];
>
> data2 = Table[Sin[i + j^2], {i, 0, 3, 0.1}, {j, 0, 3, 0.1}];
>
>
>
> ListPointPlot3D[{data1, data2},
>
>  Filling -> Bottom,
>
>  FillingStyle -> Directive[Opacity[.3], Gray]]
>
>
>
> ListPointPlot3D[{data1, data2},
>
>  Filling -> {2 -> {1}},
>
>  FillingStyle -> Directive[Opacity[.3], Gray]]
>
>
>
> or
>
>
>
> ListPlot3D[{data1, data2},
>
>  DataRange -> {{0, 3}, {0, 3}},
>
>  RegionFunction -> Function[{x, y, z}, Norm[{x, y}] < 2.5],
>
>  Filling -> {1 -> Bottom},
>
>  FillingStyle -> Directive[Opacity[.3], Gray]]
>
>
>
>
>
> ListPlot3D[{data1, data2},
>
>  DataRange -> {{0, 3}, {0, 3}},
>
>  RegionFunction -> Function[{x, y, z}, Norm[{x, y}] < 2.5],
>
>  Filling -> {1 -> {2}},
>
>  FillingStyle -> Directive[Opacity[.3], Gray]]
>
>
>
> It is a disappointment not to have that capability because it would be a
way
> represent a solid volume that was filled with a kind of translucent
> material.
>
>
>
> David Park
>
> djmpark at comcast.net
>
>  <http://home.comcast.net/~djmpark> http://home.comcast.net/~djmpark/
>

```

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