Re: Solid modeling using Manipulate

• To: mathgroup at smc.vnet.net
• Subject: [mg127180] Re: Solid modeling using Manipulate
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Wed, 4 Jul 2012 03:33:17 -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

Try this:

Manipulate[
Column[{
ParametricPlot3D[{Cos[t], u, Sin[t]}, {t, 0, 2 Pi}, {u, 0, 2 Pi},
ViewPoint -> {3, 1, 2}],
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}],
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}],
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}]

}],

{t, 0, 2 Pi, Pi/10}, {v, 0, 2 Pi, Pi/10}, {a, 1, 1.6, .1}]

Regards, Alexei

Alexei BOULBITCH, Dr., habil.
IEE S.A.
ZAE Weiergewan,
11, rue Edmond Reuter,
L-5326 Contern, LUXEMBOURG

Office phone :  +352-2454-2566
Office fax:       +352-2454-3566
mobile phone:  +49 151 52 40 66 44

e-mail: alexei.boulbitch at iee.lu

```

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