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Rotation of twisted line for SurfaceOfRevolution


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}];


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