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MathGroup Archive 2002

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How to draw such 3D surface?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg32649] How to draw such 3D surface?
  • From: liwen liwen <gzgear at yahoo.com>
  • Date: Fri, 1 Feb 2002 16:10:49 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com


Hi,
I want to draw a 3D surface defined by the following equations :

r1=8;h=10/180*Pi;
p=r1*Tan[h];
x[u_,v_]:=r1*Cos[v] + u*Cos[h]*Sin[v];
y[u_,v_]:=r1*Sin[v] - u*Cos[h]*Cos[v];
z[u_,v_]:=p*v-u*Sin[h];
R[u_, v_]= {x[u, v], y[u, v], z[u, v]};
0 <= v <= Pi;
u <= v*r1/Cos[h];
R[u,v] is a space vector that is able to describe a 3D surface.

I want to use the following procedure to draw it but failed, what should I do?
<< Graphics`ParametricPlot3D`
  ParametricPlot3D[{r1*Cos[v] + u*Cos[h]*Sin[v], 
      r1*Sin[v] - u*Cos[h]*Cos[v], 
     p*v-u*Sin[h]}, {v, 0, Pi/2}, {u, 0, 
      v*r1/Cos[h]}]

Thanks.

Liwen



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