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).

**Follow-Ups**:**Re: Cropping a surface to a sphere***From:*"W_Craig Carter" <ccarter@mit.edu>