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MathGroup Archive 2000

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Re: Visualization of Intersections

  • To: mathgroup at
  • Subject: [mg22388] Re: Visualization of Intersections
  • From: "Allan Hayes" <hay at>
  • Date: Sun, 27 Feb 2000 18:55:28 -0500 (EST)
  • References: <89a462$>
  • Sender: owner-wri-mathgroup at


"Intersections of Surfaces", Steven Wilkinson, Mathematica in Education and
Research, Vol 8, No 2, Spring 1999.

Allan Hayes
Mathematica Training and Consulting
Leicester UK
hay at
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"Chris Tiee" <choni at> wrote in message
news:89a462$9bf at
> Hello,
> 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,
> Chris
> 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
> at
> Sent via
> Before you buy.

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