MathGroup Archive 1997

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Plotting Solids in Mathematica

  • To: mathgroup at
  • Subject: [mg8321] Plotting Solids in Mathematica
  • From: djoseph at (deepu s joseph)
  • Date: Sun, 24 Aug 1997 13:24:36 -0400
  • Organization: University of Nebraska--Lincoln
  • Sender: owner-wri-mathgroup at

I am new to Mathematica. Could any one give a suggestion on how to plot a solid and distort it in mathematica. Suppose I have a cube , I know how every point
(x,y,z) of the cube (let us consider this as the undeformed solid)
 is going to transform into a new set of ppoints (X,Y,Z) (so
as to form the deformed solid). I have the analytical expressions transforming
guess(x,y,z)->(X,Y,Z). So I guess the deformed solid is kind of parametric depending on the
undeformed coordinates (x,y,z)
I know that there are some functions to plot 3D Surfaces. So what I was thinking 
was is work out the equations of the bounding surfaces of the solid and then
plot them together in the same graph to get the solid.
This looks a bit cumbersome. Is there any other way to generate solids if
we know their (x,y,z) set or something.
Any response will be appreciated
Thanks  a lot
628, South 12 street, Apt# 5
Lincoln, NE-68508

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