Filling Between Surfaces

• To: mathgroup at smc.vnet.net
• Subject: [mg97680] Filling Between Surfaces
• From: "David Park" <djmpark at comcast.net>
• Date: Wed, 18 Mar 2009 04:57:06 -0500 (EST)

```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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