Re: Plot Truncation in RealTime3D

• To: mathgroup at smc.vnet.net
• Subject: [mg65439] Re: Plot Truncation in RealTime3D
• From: "Narasimham" <mathma18 at hotmail.com>
• Date: Sat, 1 Apr 2006 05:38:58 -0500 (EST)
• References: <e0dpnj\$qbk\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Thanks.

1) While attempting  to rotate with mouse Range limited plots Shown
below obtained without ReallTime3D,

pos=ParametricPlot3D[ {Cosh[th] Cos[th+al], th, Cosh[th]Sin[th+al]},
{th,-1.2, 1.2 }, {al,0, 2 Pi} ,PlotRange-> { { -2,2},{2,0},{0,2} } ];
neg=ParametricPlot3D[ {Cosh[th] Cos[th+al], th, -Cosh[th]Sin[th+al]},
{th,-1.2, 1.2 }, {al,0, 2 Pi} ,PlotRange-> { { -2,2},{2,0},{0,2} } ] ;
Show[pos,neg] ;

.. the PlotRange option cannot be implementable in <<ReallTime3D' as it
is. The entire surface of revolution comes in, without the desired
truncation. Is there a way to work around it?

2) Yes,the surface is same. The question is, How to hide the al
parameterized parallels , retaining only th lines in pos and neg ?

David Park wrote:

> This appears to be two different parametrizations of the same surface. When
> you Show them together Mathematica has difficulty in rendering them because
> it has to keep determining which surface is 'in front'.
>
> I don't understand what you are trying to illustrate in your plot.
>
> David Park
> djmp at earthlink.net
> http://home.earthlink.net/~djmp/
>
> From: Narasimham [mailto:mathma18 at hotmail.com]
To: mathgroup at smc.vnet.net
>
>
> a) How to make ParametricPlot3D to plot in the required PlotRange for
> top half surface only?
> b) How to omit/hide circumferential circles or parameter lines of al
> in Show[pos,neg] ?  TIA
>
> <<RealTime3D`
> pos=ParametricPlot3D[ {Cosh[th] Cos[th+al], th, Cosh[th]Sin[th+al]},
> {th,-1.2, 1.2 }, {al,0, 2 Pi} ,PlotRange-> { { -2,2},{2,0},{0,2} } ];
> neg=ParametricPlot3D[ {Cosh[th] Cos[th+al], th, -Cosh[th]Sin[th+al]},
> {th,-1.2, 1.2 }, {al,0, 2 Pi} ,PlotRange-> { { -2,2},{2,0},{0,2} } ];
> Show[pos,neg] ;
> <<Default3D`

```

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