       Re: Cropping a surface to a sphere

• To: mathgroup at smc.vnet.net
• Subject: [mg88215] Re: Cropping a surface to a sphere
• From: dh <dh at metrohm.ch>
• Date: Mon, 28 Apr 2008 04:41:12 -0400 (EDT)
• References: <fv1ff5\$es6\$1@smc.vnet.net>

```
Hi Szabolcs,

look up RegionFunction in the manual. Here is an example:

ContourPlot3D[-x^4*y^2+x^2*y^4+x^4*z^2-y^4*z^2-x^2*z^4+y^2*z^4==1,{x,-3,3},{y,-3,3},{z,-3,3},Mesh->False,RegionFunction->Function[{x,y,z},x^2+y^2+z^2<9]]

hope this helps, Daniel

Szabolcs Horvát wrote:

> Is there a simple way to crop a surface to a sphere?

>

> For example, consider the surface

>

> ContourPlot3D[

>    -x^4*y^2 + x^2*y^4 + x^4*z^2 - y^4*z^2 -

>     x^2*z^4 + y^2*z^4 == 1,

>    {x, -3, 3}, {y, -3, 3}, {z, -3, 3},

>    Mesh -> False]

>

> It is cropped to a cube (the bounding box) by default.  I would like to

> crop it to a sphere of radius 3 (or some other region).

>

> Is there an easy way to do this?  I guess that if there really isn't a

> better way, I could write a polygon cropping function, convert the

> graphic to Normal[] form, and crop/remove each polygon one by one, but I

> was hoping for a simpler solution ... (built-in function or existing

> package).

>

```

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