Re: Cropping a surface to a sphere
- To: mathgroup at smc.vnet.net
- Subject: [mg88220] Re: [mg88172] Cropping a surface to a sphere
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Mon, 28 Apr 2008 04:42:07 -0400 (EDT)
- Reply-to: hanlonr at cox.net
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]] Bob Hanlon ---- "Szabolcs Horv=C3=A1t" <szhorvat at gmail.com> 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). >