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Plot3D Problem with Nonreal Numbers

  • To: mathgroup at
  • Subject: [mg20032] Plot3D Problem with Nonreal Numbers
  • From: jmac at (JAM)
  • Date: Sat, 25 Sep 1999 02:40:54 -0400
  • Organization: Midlife Crisis, Inc.
  • Sender: owner-wri-mathgroup at

Greetings All!
I'm hoping you can help this struggling artist generate this 3D plot
destined for a calculus textbook. If the author had provided me with a
notebook file I wouldn't have to be bothering you, but he didn't. All I
have is a sketch of something that resembles two funnels joined at the
narrow end and this equation:

x^2 - y^2 + z^2 = 4

I have solved for z and used the results in Plot3D but this generates an
error for the points that are not real numbers and only a portion of the
plot is drawn.
The question is, is there a way to make Mathematica ignore the solutions
that are not real? Or is there some other technique I should be using to
render this graphic.
Be gentle. Remember I'm an artist, not a mathematician.
Thanks in advance for any and all assistance.

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