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MathGroup Archive 2006

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Re: Plot Truncation in RealTime3D

  • To: mathgroup at smc.vnet.net
  • Subject: [mg65448] Re: Plot Truncation in RealTime3D
  • From: Peter Pein <petsie at dordos.net>
  • Date: Sun, 2 Apr 2006 05:00:07 -0400 (EDT)
  • References: <e08lb0$4gm$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Narasimham schrieb:
> 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`
> 
Well, I guess you want

In[1]:=
clipLine[pts_Line] := Module[{p2 = Sort[pts[[1]], #1[[3]] > #2[[3]] & ]},
    If[p2[[1,3]] < 0, Unevaluated[Sequence[]],
     If[p2[[2,3]] < 0, p2[[2]] = p2[[1]] + (p2[[1,3]]*Subtract @@ p2)/(p2[[2,3]] - p2[[1,3]])];
      Line[p2]]]

In[2]:=
{pos, neg} = Block[{$DisplayFunction = #1 & },
     (Table[ParametricPlot3D[{Cosh[th]*Cos[th + al], th, #1*Cosh[th]*Sin[th + al]},
          {th, -1.2, 1.2}], {al, 0, 2*Pi, Pi/12}] & ) /@ {1, -1} /. l_Line :> clipLine[l]];

In[3]:=
<< "RealTime3D`"

In[4]:=
Show[pos, neg]


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