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Re: Volume by four vectors [message #41243 is a reply to message #41241]

Thu, 14 October 2004 09:52

Sander Roosendaal
Messages: 3
Registered: October 2004

Junior Member

Many thanks, Ed.
Just the hint I needed.

Ed Schmahl wrote:

> Dear Sander,
>
> Interesting geometry problem. The volume you're talking about is an
> irregular polyhedron--the generalization of a cube. You can dissect
> the volume into
> irregular tetrahedra, each bounded by 4 triangles, two triangles on
> each face.
> Pick an origin inside of the hexahedron, and since there are 6 faces,
> there
> will be 12 (irregular) tetrahedra, each with a common vertex at the
> origin.
> Obviously the location of the origin is irrelevant, but if it is
> outside of
> the hexahedron, some of the tetrahedra will have negative volumes.
>

--
hartelijke groeten,

Sander
sander@wereldraadsel.nl

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[Message index]

		Re: Volume by four vectors By: ed on Sun, 17 October 2004 07:35
		Re: Volume by four vectors By: Sander Roosendaal on Thu, 14 October 2004 12:11
		Re: Volume by four vectors By: Sander Roosendaal on Thu, 14 October 2004 09:52
		Re: Volume by four vectors By: ed on Wed, 13 October 2004 14:02

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