Rotation of twisted line for SurfaceOfRevolution
- To: mathgroup at smc.vnet.net
- Subject: [mg57640] Rotation of twisted line for SurfaceOfRevolution
- From: "Narasimham" <mathma18 at hotmail.com>
- Date: Fri, 3 Jun 2005 05:33:21 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
A one parameter [x(t),y(t),z(t)] 3D skewed line can be rotated
producing surface revolved around z-axis, that need not be only a two
parameter meridian. The following example doable in Mathematica on the
same command may perhaps be instructive.
<<Graphics`SurfaceOfRevolution`;
meridian=SurfaceOfRevolution[{ Sin[u],u^3},{u,-1,1}];
twisted=SurfaceOfRevolution[{ Sin[u],u^3, Exp[u]},{u,-1,1}];
Show[{meridian,twisted},ViewPoint -> {1,1.3,1}];