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Animate drawing of a ruled surface?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg122901] Animate drawing of a ruled surface?
  • From: Dmichael <pwaslo at yahoo.com>
  • Date: Tue, 15 Nov 2011 05:50:23 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

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!



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