POV-Ray : Newsgroups : povray.newusers : Mesh and polygons area : Re: Mesh and polygons area Server Time
29 Jul 2024 00:23:24 EDT (-0400)
  Re: Mesh and polygons area  
From: alphaQuad
Date: 4 Nov 2007 11:20:00
Message: <web.472deffc881ace7c5b922c2d0@news.povray.org>
"alphaQuad" <alp### [at] earthlinknet> wrote:
> "Francesco" <nas### [at] gmailcom> wrote:
>
> > Calculating area triangle per triangle I can always suppose z=0 (translating and
> > rotating axis) as triangles are 2D. So I think the formula posted by Penelope20k
> > is good.
> >
> >
> > Francesco
>
> YES ! it is not only good but great. it is the shortest route from points to
> area I have seen.
>
> just I am not able to mentally make the leap to 3D without a lengthy conversion
> to 3 side lengths. If I could, it might be the shortest route in 3D.


apparently I am in similiar company as no else can either.

the task:
Area = abs(   (xB*yA - xA*yB)  + (xC*yB -x B*yC)+( xA*yC - xC*yA ) ) /2

make shortest 3D version


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