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Re: Animate drawing of a ruled surface?


On Tue, 15 Nov 2011 10:51:49 -0000, Dmichael <pwaslo at yahoo.com> wrote:

> Hi,
>
> I want to animate the drawing of a ruled surface.
>
> So, for example, say I want to animate the drawing of a helix.
>
> I create the surface with this command:
>
> ParametricPlot3D[{u*Cos[v], u*Sin[v], (1/2)*v}, {u, -1, 1}, {v, 0, 2  
> \[Pi]}]
>
> Then I want an animation of the surface being drawn as the line sweeps  
> out the surface. So I try this which shows the line but doesn't animate  
> the drawing of the surface.
>
> Animate[ParametricPlot3D[{u*Cos[v], u*Sin[v], (1/2)*v}, {u, -4, 4},  
> PlotRange -> 6], {v, 0, 4 \[Pi]}]
>
> Any ideas? Thanks!
>

How about

Animate[
  ParametricPlot3D[
   {u*Cos[v], u*Sin[v], (1/2)*v},
   {u, -1, 1}, {v, 0, vmax},
   PlotRange -> {{-1, 1}, {-1, 1}, {0, Pi}},
   PerformanceGoal -> "Quality"
  ],
  {vmax, 0, 2 Pi}
]

?



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