       Re: Implicit surface plotting

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg1536] Re: Implicit surface plotting
• From: chen at fractal.eng.yale.edu (Richard Q. Chen)
• Date: Sat, 24 Jun 1995 01:47:22 -0400
• Organization: Yale University

```In article <3s86k6\$och at news0.cybernetics.net>, bengtmn at algonet.se (Bengt Mansson) writes:
>How can I use Mathematica to plot surfaces implicitly given, eg an
>ellipsoid x^2+2y^2+3z^2=1.
>
>Regards, Bengt M.
>
>
>

The most efficient way is to parametrize your surface:

In:= x = Sin[t]Cos[p]

Out= Cos[p] Sin[t]

In:= y = Sin[t]Sin[p]/Sqrt

Sin[p] Sin[t]
Out= -------------
Sqrt

In:= z = Cos[t]/Sqrt

Cos[t]
Out= -------
Sqrt

In:= ParametricPlot3D[{x,y,z},{t,0,Pi},{p,0,2Pi}]

Out= -Graphics3D-

There are other ways available (using 3D contour plot package,
for example), but they are very time consuming and should be
used only as last resort.

Regards

--
Richard Q. Chen
chen at fractal.eng.yale.edu

```

• Prev by Date: OS2 Version, Use of Virtual Memory?
• Next by Date: 3D graphics cutoff (it will not display all my objects)
• Previous by thread: OS2 Version, Use of Virtual Memory?
• Next by thread: Implicit surface plotting