Solid modeling using Manipulate

• To: mathgroup at smc.vnet.net
• Subject: [mg127146] Solid modeling using Manipulate
• From: Narasimham <mathma18 at hotmail.com>
• Date: Mon, 2 Jul 2012 05:28:25 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```ThickCyl[a_,t_,v_]={a Cos[t+v],1.2 t,a Sin[t+v]}; (* GLNarasimham
SolidModelingThickCyl.nb *)
Cyl=ParametricPlot3D[{Cos[t],u,Sin[t]},{t,0,2 Pi},{u,0,2 Pi},ViewPoint-
>{3,1,2}]
RingSlide=Manipulate[ParametricPlot3D[ThickCyl[a,t,v],{v,0,2 Pi},{a,
1,1.6},Mesh->{18,4},PlotRange->{{-1.8,1.8},{-.25,8},
{-1.8,1.8}},ViewPoint->{3,1,2}],{t,0,2 Pi,Pi/10}]
FinRotn=Manipulate[ParametricPlot3D[ThickCyl[a,t,v],{t,0,2 Pi},{a,
1,1.6},Mesh->{18,4},PlotRange->{{-1.8,1.8},{-.25,8},
{-1.8,1.8}},ViewPoint->{3,1,2}],{v,0,2 Pi,Pi/10}]
CylExpn=Manipulate[ParametricPlot3D[ThickCyl[a,t,v],{t,0,2 Pi},{v,0,2
Pi},Mesh->{18,18},PlotRange->{{-1.8,1.8},{-0.25,8},
{-1.8,1.8}},ViewPoint->{3,1,2}],{a,1,1.6,.1}]

How to combine the above four graphics into a single dynamic image
with t,v and a Manipulates ?

Regards
Narasimham

```

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