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MathGroup Archive 1995

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How to draw OUTLINES on 3D shapes? [REPOST]

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg1638] How to draw OUTLINES on 3D shapes? [REPOST]
  • From: Zorro <berriz at husc.harvard.edu>
  • Date: Sat, 8 Jul 1995 03:15:27 -0400
  • Organization: Harvard University, Cambridge, Massachusetts

From reading Mr. Fairley's reply to my earlier post, I realized that I
had not been entirely clear, so here is (I hope) a clearer statement
of the problem.

How can I get Mathematica to draw 3D shapes (specifically, spheres and
cylinders) as "filled in outlines"?  By "outline" I mean that of the
2D representation (as shown on the computer screen) of the 3D object.
For example, whereas a 2D representation of a cylinder would look
something like
                              __________
                             ()_________)

the *outline* of this representation would look like
                              __________
                             (__________)

Similarly, for a cube, a 2D representation would be
                                ______
                               /     /|
                              /_____/ |
                              |     | |
                              |     | /
                              |_____|/

and the outline of this representation would be
                                ______
                               /      |
                              /       |
                              |       |
                              |       /
                              |______/

It's important to note that I'm not referring to the silhouette (which
would be, for example, the 2D figure obtained by filling in the
outline above:

                               ////////
                              /////////
                              /////////
                              /////////
                              ////////

) but to the actual 1-dimensional countour we use to represent the
*boundary* of the silhoutte.

Z.





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