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MathGroup Archive 2004

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Re: WTD: point intersection in space

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48390] Re: [mg48363] WTD: point intersection in space
  • From: John Browne <jbrowne at swin.edu.au>
  • Date: Fri, 28 May 2004 00:50:19 -0400 (EDT)
  • References: <200405251118.HAA03719@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Don,

One way of approaching intersections is through Grassmann's regressive 
product.
See Chapters 3 and 4 at
http://www.ses.swin.edu.au/homes/browne/grassmannalgebra/book/

If you would like any specific formulas generated that you don't find 
here, please let me know.
(However, I will be incommunicado from now until June 16)

John


On 25/05/2004, at 9:18 PM, Don Taylor wrote:

> In n-dimensional euclidian space n (n-1)-dimensional objects
> intersect at a unique point.  For example, in 2-space 2 1-d
> lines intersect in a point, in 3-space 3 2-d planes intersect
> in a point.
>
> I'm trying to find the general pattern that solves for this
> in n-space.  At the moment I'd settle for seeing very similar
> developments for 2-space and 3-space.  Maybe from that I could
> guess what this would look like for n-space.

____________________________
John Browne
School of Engineering and Science
Swinburne University of Technology
Hawthorn, Victoria, Australia
Quantica phone: +613 9431 4007
Quantica fax: +613 9431 0940
jbrowne at swin.edu.au


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