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Article #49

Re: 3d programming

#49
From: Niels Ull Jacobsen
Date: Thu, 15 Feb 1996 08:17
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Isn't this disussion get a bit long?

To finish of the discussion on how many numbers are needed to
represent a plane, let me repeat: 

You *can* represent a plane with just 3 (three) numbers, namely a
normal vector (tau, theta) and a distance from origo.  Whether this
representation is suitable for your needs is another question.

As for the point/vector discussion: You can setup a 1:1 relationship
between points and vectors, identifying the point P with the vector
(0,0,0)->P.  Whether this is practical for all purposes is another
question.  For instance, it makes no sense to add two points, nor to
talk of the line through two vectors.
-- 
   Niels Ull Jacobsen, Dep. of CS, U of Copenhagen (null@diku.dk)
   Roenne Alle 3 st.th, 2860 Soeborg, Denmark, tel. +45 39 66 39 86
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Path: arc1-ca.pugleaf.net!diku.dk!null
From: null@diku.dk (Niels Ull Jacobsen)
Newsgroups: comp.lang.pascal.borland,comp.lang.pascal.mac,comp.lang.pascal.ansi-iso,comp.lang.pascal.misc,comp.sys.amiga.programmer,comp.graphics.algorithms,comp.os.ms-windows.programmer.graphics,comp.sys.amiga.graphics
Subject: Re: 3d programming
Date: 15 Feb 1996 08:17:01 GMT
Organization: Department of Computer Science, U of Copenhagen
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