solid of revolution
- To: mathgroup at smc.vnet.net
- Subject: [mg64699] solid of revolution
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Tue, 28 Feb 2006 01:49:29 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- Reply-to: murray at math.umass.edu
- Sender: owner-wri-mathgroup at wolfram.com
Is there some nice way to build a convincing 3D graphics representation of a solid of revolution such as that obtained by rotating around the line y = 1 the region in the xy-plane that is enclosed by y = Sin[x], x = 0, and x = Pi? Note that Graphics`SurfaceOfRevolution`SurfaceOfRevolution, used directly, gives not the desired solid, but rather a picture of its bounding surface. The trouble with this picture is that it looks like the solid is what's inside the surface, whereas the desired solid is obtained from the bounding rectangular parallelepiped by "scooping out" what's inside the surface. -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305