       Cropping a surface to a sphere

• To: mathgroup at smc.vnet.net
• Subject: [mg88172] Cropping a surface to a sphere
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Sun, 27 Apr 2008 04:58:05 -0400 (EDT)
• Organization: University of Bergen

```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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