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Visualization of Intersections

  • To: mathgroup at
  • Subject: [mg22367] Visualization of Intersections
  • From: Chris Tiee <choni at>
  • Date: Sat, 26 Feb 2000 22:04:54 -0500 (EST)
  • Sender: owner-wri-mathgroup at


I've been investigating plots of surfaces in space, and I've
encountered the classic problem of finding the volume between two
perpendicularly intersecting circular cylinders of the same radius (and
I will be working on the case for three cylinders as well). The
resulting volumes are very difficult to visualize. I searched for it on
the web, and have seen how they look, and some even had instructions on
how to do it in another system.

With Mathematica, I have been able to examine the intersections (using
ContourPlot3D[], drawing the contours at 1), but I don't know how to to
customize the range of plotting so it shows the exact volume of
intersection, only cylinders with straight edges.

I have already solved both of the problems, but how would I be able to
examine intersections of surfaces in general, with Mathematica?

thanks in advance,


please send any email replies to choni at

Chris Tiee "Choni" | Primary email: choni at
Alternate emails: choni at, ch0ni at

Chris Tiee "Choni" | Primary email: choni at
Alternate emails: choni at, ch0ni

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